familiar letters on chemistry, and its relation to commerce, physiology, and agriculture, by justus liebig, m.d., ph. d., f.r.s., professor of chemistry in the university of giessen. edited by john gardner, m.d., member of the chemical society. second edition, corrected. london: mdcccxliv. preface the letters contained in this little volume embrace some of the most important points of the science of chemistry, in their application to natural philosophy, physiology, agriculture, and commerce. some of them treat of subjects which have already been, or will hereafter be, more fully discussed in my larger works. they were intended to be mere sketches, and were written for the especial purpose of exciting the attention of governments, and an enlightened public, to the necessity of establishing schools of chemistry, and of promoting, by every means, the study of a science so intimately connected with the arts, pursuits, and social well-being of modern civilised nations. for my own part i do not scruple to avow the conviction, that ere long, a knowledge of the principal truths of chemistry will be expected in every educated man, and that it will be as necessary to the statesman, the political economist, and the practical agriculturist, as it is already indispensable to the physician, and the manufacturer. in germany, such of these letters as have been already published, have not failed to produce some of the results anticipated. new professorships have been established in the universities of goettingen and wuertzburg, for the express purpose of facilitating the application of chemical truths to the practical arts of life, and of following up the new line of investigation and research--the bearing of chemistry upon physiology, medicine, and agriculture,--which may be said to be only just begun. my friend, dr. ernest dieffenbach, one of my first pupils, who is well acquainted with all the branches of chemistry, physics, natural history, and medicine, suggested to me that a collection of these letters would be acceptable to the english public, which has so favourably received my former works. i readily acquiesced in the publication of an english edition, and undertook to write a few additional letters, which should embrace some conclusions i have arrived at, in my recent investigations, in connection with the application of chemical science to the physiology of plants and agriculture. my esteemed friend, dr. gardner, has had the kindness to revise the manuscript and the proof sheets for publication, for which i cannot refrain expressing my best thanks. it only remains for me to add a hope, that this little offering may serve to make new friends to our beautiful and useful science, and be a remembrancer to those old friends who have, for many years past, taken a lively interest in all my labours. justus liebig giessen, aug. . contents letter i the subject proposed. materials employed for chemical apparatus:-- glass--caoutchouc--cork--platinum. the balance. the "elements" of the ancients, represent the forms of matter. lavoisier and his successors. study of the materials composing the earth. synthetic production of minerals--lapis lazuli. organic chemistry. letter ii changes of form which every kind of matter undergoes. conversion of gases into liquids and solids. carbonic acid--its curious properties in a solid state. condensation of gases by porous bodies. by spongy platinum. importance of this property in nature. letter iii the manufacture of soda from culinary salt; its importance in the arts and in commerce. glass--soap--sulphuric acid. silver refining. bleaching. trade in sulphur. letter iv connection of theory with practice. employment of magnetism as a moving power--its impracticability. relation of coals and zinc as economic sources of force. manufacture of beet-root sugar--its impolicy. gas for illumination. letter v isomerism, or identity of composition in bodies with different chemical and physical properties. crystallisation. amorphism. isomorphism, or similarity of properties in bodies totally different in composition. letter vi alliance of chemistry with physiology. division of food into nourishment, and materials for combustion. effects of atmospheric oxygen. balance of carbon and oxygen. letter vii animal heat, its laws and influence on the animal functions. loss and supply. influence of climate. fuel of animal heat. agency of oxygen in disease. respiration. letter viii aliments. constituents of the blood. fibrine, albumen. inorganic substances. isomerism of fibrine, albumen, and elements of nutrition. relation of animal and vegetable organisms. letter ix growth of animals. uses of butter and milk. metamorphoses of tissues. food of carnivora, and of the horse. letter x application of the preceding facts to man. division of human food. uses of gelatine. letter xi circulation of matter in the animal and vegetable kingdoms. the ocean. agriculture. restitution of an equilibrium in the soil. causes of the exhaustion of land. virginia. england. relief gained by importation of bones. empirical farming unsatisfactory. necessity for scientific principles. influence of the atmosphere. of saline and earthy matters of the soil. letter xii science and art of agriculture. necessity of chemistry. rationale of agricultural processes. washing for gold. letter xiii illustration of the necessity of chemistry to advance and perfect agriculture. manner in which fallow ameliorates the soil. uses of lime. effects of burning. of marl. letter xiv nature and effects of manures. animal bodies subject to constant waste. parts separating--exuviae--waste vegetable matters--together contain all the elements of the soil and of food. various value of excrements of different animals as manure. letter xv source of the carbon and nitrogen of plants. produce of carbon in forests and meadows supplied only with mineral aliments prove it to be from the atmosphere. relations between mineral constituents, and carbon and nitrogen. effects of the carbonic acid and ammonia of manures. necessity of inorganic constituents to the formation of aliments, of blood, and therefore of nutrition. necessity of inquiries by analysis to advance agriculture. letter xvi results of the author's latest inquiries. superlative importance of the phosphates of lime and alkalies to the cultivation of the cerealia. sources of a supply of these materials. letters on chemistry letter i my dear sir, the influence which the science of chemistry exercises upon human industry, agriculture, and commerce; upon physiology, medicine, and other sciences, is now so interesting a topic of conversation everywhere, that it may be no unacceptable present to you if i trace in a few familiar letters some of the relations it bears to these various sciences, and exhibit for you its actual effect upon the present social condition of mankind. in speaking of the present state of chemistry, its rise and progress, i shall need no apology if, as a preliminary step, i call your attention to the implements which the chemist employs--the means which are indispensable to his labours and to his success. these consist, generally, of materials furnished to us by nature, endowed with many most remarkable properties fitting them for our purposes; if one of them is a production of art, yet its adaptation to the use of mankind,--the qualities which render it available to us,--must be referred to the same source as those derived immediately from nature. cork, platinum, glass, and caoutchouc, are the substances to which i allude, and which minister so essentially to modern chemical investigations. without them, indeed, we might have made some progress, but it would have been slow; we might have accomplished much, but it would have been far less than has been done with their aid. some persons, by the employment of expensive substances, might have successfully pursued the science; but incalculably fewer minds would have been engaged in its advancement. these materials have only been duly appreciated and fully adopted within a very recent period. in the time of lavoisier, the rich alone could make chemical researches; the necessary apparatus could only be procured at a very great expense. and first, of glass: every one is familiar with most of the properties of this curious substance; its transparency, hardness, destitution of colour, and stability under ordinary circumstances: to these obvious qualities we may add those which especially adapt it to the use of the chemist, namely, that it is unaffected by most acids or other fluids contained within it. at certain temperatures it becomes more ductile and plastic than wax, and may be made to assume in our hands, before the flame of a common lamp, the form of every vessel we need to contain our materials, and of every apparatus required to pursue our experiments. then, how admirable and valuable are the properties of cork! how little do men reflect upon the inestimable worth of so common a substance! how few rightly esteem the importance of it to the progress of science, and the moral advancement of mankind!--there is no production of nature or art equally adapted to the purposes to which the chemist applies it. cork consists of a soft, highly elastic substance, as a basis, having diffused throughout a matter with properties resembling wax, tallow, and resin, yet dissimilar to all of these, and termed suberin. this renders it perfectly impermeable to fluids, and, in a great measure, even to gases. it is thus the fittest material we possess for closing our bottles, and retaining their contents. by its means, and with the aid of caoutchouc, we connect our vessels and tubes of glass, and construct the most complicated apparatus. we form joints and links of connexion, adapt large apertures to small, and thus dispense altogether with the aid of the brassfounder and the mechanist. thus the implements of the chemist are cheaply and easily procured, immediately adapted to any purpose, and readily repaired or altered. again, in investigating the composition of solid bodies,--of minerals,--we are under the necessity of bringing them into a liquid state, either by solution or fusion. now vessels of glass, of porcelain, and of all non-metallic substances, are destroyed by the means we employ for that purpose,--are acted upon by many acids, by alkalies and the alkaline carbonates. crucibles of gold and silver would melt at high temperatures. but we have a combination of all the qualities we can desire in platinum. this metal was only first adapted to these uses about fifty years since. it is cheaper than gold, harder and more durable than silver, infusible at all temperatures of our furnaces, and is left intact by acids and alkaline carbonates. platinum unites all the valuable properties of gold and of porcelain, resisting the action of heat, and of almost all chemical agents. as no mineral analysis could be made perfectly without platinum vessels, had we not possessed this metal, the composition of minerals would have yet remained unknown; without cork and caoutchouc we should have required the costly aid of the mechanician at every step. even without the latter of these adjuncts our instruments would have been far more costly and fragile. possessing all these gifts of nature, we economise incalculably our time--to us more precious than money! such are our instruments. an equal improvement has been accomplished in our laboratory. this is no longer the damp, cold, fireproof vault of the metallurgist, nor the manufactory of the druggist, fitted up with stills and retorts. on the contrary, a light, warm, comfortable room, where beautifully constructed lamps supply the place of furnaces, and the pure and odourless flame of gas, or of spirits of wine, supersedes coal and other fuel, and gives us all the fire we need; where health is not invaded, nor the free exercise of thought impeded: there we pursue our inquiries, and interrogate nature to reveal her secrets. to these simple means must be added "the balance," and then we possess everything which is required for the most extensive researches. the great distinction between the manner of proceeding in chemistry and natural philosophy is, that one weighs, the other measures. the natural philosopher has applied his measures to nature for many centuries, but only for fifty years have we attempted to advance our philosophy by weighing. for all great discoveries chemists are indebted to the "balance"--that incomparable instrument which gives permanence to every observation, dispels all ambiguity, establishes truth, detects error, and guides us in the true path of inductive science. the balance, once adopted as a means of investigating nature, put an end to the school of aristotle in physics. the explanation of natural phenomena by mere fanciful speculations, gave place to a true natural philosophy. fire, air, earth, and water, could no longer be regarded as elements. three of them could henceforth be considered only as significative of the forms in which all matter exists. everything with which we are conversant upon the surface of the earth is solid, liquid, or aeriform; but the notion of the elementary nature of air, earth, and water, so universally held, was now discovered to belong to the errors of the past. fire was found to be but the visible and otherwise perceptible indication of changes proceeding within the, so called, elements. lavoisier investigated the composition of the atmosphere and of water, and studied the many wonderful offices performed by an element common to both in the scheme of nature, namely, oxygen: and he discovered many of the properties of this elementary gas. after his time, the principal problem of chemical philosophers was to determine the composition of the solid matters composing the earth. to the eighteen metals previously known were soon added twenty-four discovered to be constituents of minerals. the great mass of the earth was shown to be composed of metals in combination with oxygen, to which they are united in one, two, or more definite and unalterable proportions, forming compounds which are termed metallic oxides, and these, again, combined with oxides of other bodies, essentially different to metals, namely, carbon and silicium. if to these we add certain compounds of sulphur with metals, in which the sulphur takes the place of oxygen, and forms sulphurets, and one other body,--common salt,--(which is a compound of sodium and chlorine), we have every substance which exists in a solid form upon our globe in any very considerable mass. other compounds, innumerably various, are found only in small scattered quantities. the chemist, however, did not remain satisfied with the separation of minerals into their component elements, i.e. their analysis; but he sought by synthesis, i.e. by combining the separate elements and forming substances similar to those constructed by nature, to prove the accuracy of his processes and the correctness of his conclusions. thus he formed, for instance, pumice-stone, feldspar, mica, iron pyrites, &c. artificially. but of all the achievements of inorganic chemistry, the artificial formation of lapis lazuli was the most brilliant and the most conclusive. this mineral, as presented to us by nature, is calculated powerfully to arrest our attention by its beautiful azure-blue colour, its remaining unchanged by exposure to air or to fire, and furnishing us with a most valuable pigment, ultramarine, more precious than gold! the analysis of lapis lazuli represented it to be composed of silica, alumina, and soda, three colourless bodies, with sulphur and a trace of iron. nothing could be discovered in it of the nature of a pigment, nothing to which its blue colour could be referred, the cause of which was searched for in vain. it might therefore have been supposed that the analyst was here altogether at fault, and that at any rate its artificial production must be impossible. nevertheless, this has been accomplished, and simply by combining in the proper proportions, as determined by analysis, silica, alumina, soda, iron, and sulphur. thousands of pounds weight are now manufactured from these ingredients, and this artificial ultramarine is as beautiful as the natural, while for the price of a single ounce of the latter we may obtain many pounds of the former. with the production of artificial lapis lazuli, the formation of mineral bodies by synthesis ceased to be a scientific problem to the chemist; he has no longer sufficient interest in it to pursue the subject. he may now be satisfied that analysis will reveal to him the true constitution of minerals. but to the mineralogist and geologist it is still in a great measure an unexplored field, offering inquiries of the highest interest and importance to their pursuits. after becoming acquainted with the constituent elements of all the substances within our reach and the mutual relations of these elements, the remarkable transmutations to which the bodies are subject under the influence of the vital powers of plants and animals, became the principal object of chemical investigations, and the highest point of interest. a new science, inexhaustible as life itself, is here presented us, standing upon the sound and solid foundation of a well established inorganic chemistry. thus the progress of science is, like the development of nature's works, gradual and expansive. after the buds and branches spring forth the leaves and blossoms, after the blossoms the fruit. chemistry, in its application to animals and vegetables, endeavours jointly with physiology to enlighten us respecting the mysterious processes and sources of organic life. letter ii my dear sir, in my former letter i reminded you that three of the supposed elements of the ancients represent the forms or state in which all the ponderable matter of our globe exists; i would now observe, that no substance possesses absolutely any one of those conditions; that modern chemistry recognises nothing unchangeably solid, liquid, or aeriform: means have been devised for effecting a change of state in almost every known substance. platinum, alumina, and rock crystal, it is true, cannot be liquified by the most intense heat of our furnaces, but they melt like wax before the flame of the oxy-hydrogen blowpipe. on the other hand, of the twenty-eight gaseous bodies with which we are acquainted, twenty-five may be reduced to a liquid state, and one into a solid. probably, ere long, similar changes of condition will be extended to every form of matter. there are many things relating to this condensation of the gases worthy of your attention. most aeriform bodies, when subjected to compression, are made to occupy a space which diminishes in the exact ratio of the increase of the compressing force. very generally, under a force double or triple of the ordinary atmospheric pressure, they become one half or one third their former volume. this was a long time considered to be a law, and known as the law of marriotte; but a more accurate study of the subject has demonstrated that this law is by no means of general application. the volume of certain gases does not decrease in the ratio of the increase of the force used to compress them, but in some, a diminution of their bulk takes place in a far greater degree as the pressure increases. again, if ammoniacal gas is reduced by a compressing force to one-sixth of its volume, or carbonic acid is reduced to one thirty-sixth, a portion of them loses entirely the form of a gas, and becomes a liquid, which, when the pressure is withdrawn, assumes again in an instant its gaseous state--another deviation from the law of marriotte. our process for reducing gases into fluids is of admirable simplicity. a simple bent tube, or a reduction of temperature by artificial means, have superseded the powerful compressing machines of the early experimenters. the cyanuret of mercury, when heated in an open glass tube, is resolved into cyanogen gas and metallic mercury; if this substance is heated in a tube hermetically sealed, the decomposition occurs as before, but the gas, unable to escape, and shut up in a space several hundred times smaller than it would occupy as gas under the ordinary atmospheric pressure, becomes a fluid in that part of the tube which is kept cool. when sulphuric acid is poured upon limestone in an open vessel, carbonic acid escapes with effervescence as a gas, but if the decomposition is effected in a strong, close, and suitable vessel of iron, we obtain the carbonic acid in the state of liquid. in this manner it may be obtained in considerable quantities, even many pounds weight. carbonic acid is separated from other bodies with which it is combined as a fluid under a pressure of thirty-six atmospheres. the curious properties of fluid carbonic acid are now generally known. when a small quantity is permitted to escape into the atmosphere, it assumes its gaseous state with extraordinary rapidity, and deprives the remaining fluid of caloric so rapidly that it congeals into a white crystalline mass like snow: at first, indeed, it was thought to be really snow, but upon examination it proved to be pure frozen carbonic acid. this solid, contrary to expectation, exercises only a feeble pressure upon the surrounding medium. the fluid acid inclosed in a glass tube rushes at once, when opened, into a gaseous state, with an explosion which shatters the tube into fragments; but solid carbonic acid can be handled without producing any other effect than a feeling of intense cold. the particles of the carbonic acid being so closely approximated in the solid, the whole force of cohesive attraction (which in the fluid is weak) becomes exerted, and opposes its tendency to assume its gaseous state; but as it receives heat from surrounding bodies, it passes into gas gradually and without violence. the transition of solid carbonic acid into gas deprives all around it of caloric so rapidly and to so great an extent, that a degree of cold is produced immeasurably great, the greatest indeed known. ten, twenty, or more pounds weight of mercury, brought into contact with a mixture of ether and solid carbonic acid, becomes in a few moments firm and malleable. this, however, cannot be accomplished without considerable danger. a melancholy accident occurred at paris, which will probably prevent for the future the formation of solid carbonic acid in these large quantities, and deprive the next generation of the gratification of witnessing these curious experiments. just before the commencement of the lecture in the laboratory of the polytechnic school, an iron cylinder, two feet and a half long and one foot in diameter, in which carbonic acid had been developed for experiment before the class, burst, and its fragments were scattered about with the most tremendous force; it cut off both the legs of the assistant and killed him on the spot. this vessel, formed of the strongest cast-iron, and shaped like a cannon, had often been employed to exhibit experiments in the presence of the students. we can scarcely think, without shuddering, of the dreadful calamity such an explosion would have occasioned in a hall filled with spectators. when we had ascertained the fact of gases becoming fluid under the influence of cold or pressure, a curious property possessed by charcoal, that of absorbing gas to the extent of many times its volume,--ten, twenty, or even as in the case of ammoniacal gas or muriatic acid gas, eighty or ninety fold,--which had been long known, no longer remained a mystery. some gases are absorbed and condensed within the pores of the charcoal, into a space several hundred times smaller than they before occupied; and there is now no doubt they there become fluid, or assume a solid state. as in a thousand other instances, chemical action here supplants mechanical forces. adhesion or heterogeneous attraction, as it is termed, acquired by this discovery a more extended meaning; it had never before been thought of as a cause of change of state in matter; but it is now evident that a gas adheres to the surface of a solid body by the same force which condenses it into a liquid. the smallest amount of a gas,--atmospheric air for instance,--can be compressed into a space a thousand times smaller by mere mechanical pressure, and then its bulk must be to the least measurable surface of a solid body, as a grain of sand to a mountain. by the mere effect of mass,--the force of gravity,--gaseous molecules are attracted by solids and adhere to their surfaces; and when to this physical force is added the feeblest chemical affinity, the liquifiable gases cannot retain their gaseous state. the amount of air condensed by these forces upon a square inch of surface is certainly not measurable; but when a solid body, presenting several hundred square feet of surface within the space of a cubic inch, is brought into a limited volume of gas, we may understand why that volume is diminished, why all gases without exception are absorbed. a cubic inch of charcoal must have, at the lowest computation, a surface of one hundred square feet. this property of absorbing gases varies with different kinds of charcoal: it is possessed in a higher degree by those containing the most pores, i.e. where the pores are finer; and in a lower degree in the more spongy kinds, i.e. where the pores are larger. in this manner every porous body--rocks, stones, the clods of the fields, &c.,--imbibe air, and therefore oxygen; the smallest solid molecule is thus surrounded by its own atmosphere of condensed oxygen; and if in their vicinity other bodies exist which have an affinity for oxygen, a combination is effected. when, for instance, carbon and hydrogen are thus present, they are converted into nourishment for vegetables,--into carbonic acid and water. the development of heat when air is imbibed, and the production of steam when the earth is moistened by rain, are acknowledged to be consequences of this condensation by the action of surfaces. but the most remarkable and interesting case of this kind of action is the imbibition of oxygen by metallic platinum. this metal, when massive, is of a lustrous white colour, but it may be brought, by separating it from its solutions, into so finely divided a state, that its particles no longer reflect light, and it forms a powder as black as soot. in this condition it absorbs eight hundred times its volume of oxygen gas, and this oxygen must be contained within it in a state of condensation very like that of fluid water. when gases are thus condensed, i.e. their particles made to approximate in this extraordinary manner, their properties can be palpably shown. their chemical actions become apparent as their physical characteristic disappears. the latter consists in the continual tendency of their particles to separate from each other; and it is easy to imagine that this elasticity of gaseous bodies is the principal impediment to the operation of their chemical force; for this becomes more energetic as their particles approximate. in that state in which they exist within the pores or upon the surface of solid bodies, their repulsion ceases, and their whole chemical action is exerted. thus combinations which oxygen cannot enter into, decompositions which it cannot effect while in the state of gas, take place with the greatest facility in the pores of platinum containing condensed oxygen. when a jet of hydrogen gas, for instance, is thrown upon spongy platinum, it combines with the oxygen condensed in the interior of the mass; at their point of contact water is formed, and as the immediate consequence heat is evolved; the platinum becomes red hot and the gas is inflamed. if we interrupt the current of the gas, the pores of the platinum become instantaneously filled again with oxygen; and the same phenomenon can be repeated a second time, and so on interminably. in finely pulverised platinum, and even in spongy platinum, we therefore possess a perpetuum mobile--a mechanism like a watch which runs out and winds itself up--a force which is never exhausted--competent to produce effects of the most powerful kind, and self-renewed ad infinitum. many phenomena, formerly inexplicable, are satisfactorily explained by these recently discovered properties of porous bodies. the metamorphosis of alcohol into acetic acid, by the process known as the quick vinegar manufacture, depends upon principles, at a knowledge of which we have arrived by a careful study of these properties. letter iii my dear sir, the manufacture of soda from common culinary salt, may be regarded as the foundation of all our modern improvements in the domestic arts; and we may take it as affording an excellent illustration of the dependence of the various branches of human industry and commerce upon each other, and their relation to chemistry. soda has been used from time immemorial in the manufacture of soap and glass, two chemical productions which employ and keep in circulation an immense amount of capital. the quantity of soap consumed by a nation would be no inaccurate measure whereby to estimate its wealth and civilisation. of two countries, with an equal amount of population, the wealthiest and most highly civilised will consume the greatest weight of soap. this consumption does not subserve sensual gratification, nor depend upon fashion, but upon the feeling of the beauty, comfort, and welfare, attendant upon cleanliness; and a regard to this feeling is coincident with wealth and civilisation. the rich in the middle ages concealed a want of cleanliness in their clothes and persons under a profusion of costly scents and essences, whilst they were more luxurious in eating and drinking, in apparel and horses. with us a want of cleanliness is equivalent to insupportable misery and misfortune. soap belongs to those manufactured products, the money value of which continually disappears from circulation, and requires to be continually renewed. it is one of the few substances which are entirely consumed by use, leaving no product of any worth. broken glass and bottles are by no means absolutely worthless; for rags we may purchase new cloth, but soap-water has no value whatever. it would be interesting to know accurately the amount of capital involved in the manufacture of soap; it is certainly as large as that employed in the coffee trade, with this important difference as respects germany, that it is entirely derived from our own soil. france formerly imported soda from spain,--spanish sodas being of the best quality--at an annual expenditure of twenty to thirty millions of francs. during the war with england the price of soda, and consequently of soap and glass, rose continually; and all manufactures suffered in consequence. the present method of making soda from common salt was discovered by le blanc at the end of the last century. it was a rich boon for france, and became of the highest importance during the wars of napoleon. in a very short time it was manufactured to an extraordinary extent, especially at the seat of the soap manufactories. marseilles possessed for a time a monopoly of soda and soap. the policy of napoleon deprived that city of the advantages derived from this great source of commerce, and thus excited the hostility of the population to his dynasty, which became favourable to the restoration of the bourbons. a curious result of an improvement in a chemical manufacture! it was not long, however, in reaching england. in order to prepare the soda of commerce (which is the carbonate) from common salt, it is first converted into glauber's salt (sulphate of soda). for this purpose pounds weight of concentrated sulphuric acid (oil of vitriol) are required to pounds of common salt. the duty upon salt checked, for a short time, the full advantage of this discovery; but when the government repealed the duty, and its price was reduced to its minimum, the cost of soda depended upon that of sulphuric acid. the demand for sulphuric acid now increased to an immense extent; and, to supply it, capital was embarked abundantly, as it afforded an excellent remuneration. the origin and formation of sulphuric acid was studied most carefully; and from year to year, better, simpler, and cheaper methods of making it were discovered. with every improvement in the mode of manufacture, its price fell; and its sale increased in an equal ratio. sulphuric acid is now manufactured in leaden chambers, of such magnitude that they would contain the whole of an ordinary-sized house. as regards the process and the apparatus, this manufacture has reached its acme--scarcely is either susceptible of improvement. the leaden plates of which the chambers are constructed, requiring to be joined together with lead (since tin or solder would be acted on by the acid), this process was, until lately, as expensive as the plates themselves; but now, by means of the oxy-hydrogen blowpipe, the plates are cemented together at their edges by mere fusion, without the intervention of any kind of solder. and then, as to the process: according to theory, pounds weight of sulphur ought to produce pounds of sulphuric acid; in practice pounds are actually obtained; the amount of loss is therefore too insignificant for consideration. again; saltpetre being indispensable in making sulphuric acid, the commercial value of that salt had formerly an important influence upon its price. it is true that pounds of saltpetre only are required to pounds of sulphur; but its cost was four times greater than an equal weight of the latter. travellers had observed near the small seaport of yquiqui, in the district of atacama, in peru, an efflorescence covering the ground over extensive districts. this was found to consist principally of nitrate of soda. advantage was quickly taken of this discovery. the quantity of this valuable salt proved to be inexhaustible, as it exists in beds extending over more than square miles. it was brought to england at less than half the freight of the east india saltpetre (nitrate of potassa); and as, in the chemical manufacture neither the potash nor the soda were required, but only the nitric acid, in combination with the alkali, the soda-saltpetre of south america soon supplanted the potash-nitre of the east. the manufacture of sulphuric acid received a new impulse; its price was much diminished without injury to the manufacturer; and, with the exception of fluctuations caused by the impediments thrown in the way of the export of sulphur from sicily, it soon became reduced to a minimum, and remained stationary. potash-saltpetre is now only employed in the manufacture of gunpowder; it is no longer in demand for other purposes; and thus, if government effect a saving of many hundred thousand pounds annually in gunpowder, this economy must be attributed to the increased manufacture of sulphuric acid. we may form an idea of the amount of sulphuric acid consumed, when we find that , pounds weight are made by a small manufactory, and from , to , pounds by a large one annually. this manufacture causes immense sums to flow annually into sicily. it has introduced industry and wealth into the arid and desolate districts of atacama. it has enabled us to obtain platina from its ores at a moderate and yet remunerating price; since the vats employed for concentrating this acid are constructed of this metal, and cost from l. to l. sterling. it leads to frequent improvements in the manufacture of glass, which continually becomes cheaper and more beautiful. it enables us to return to our fields all their potash--a most valuable and important manure--in the form of ashes, by substituting soda in the manufacture of glass and soap. it is impossible to trace, within the compass of a letter, all the ramifications of this tissue of changes and improvements resulting from one chemical manufacture; but i must still claim your attention to a few more of its most important and immediate results. i have already told you, that in the manufacture of soda from culinary salt, it is first converted into sulphate of soda. in this first part of the process, the action of sulphuric acid produces muriatic acid to the extent of one-and-a-half the amount of the sulphuric acid employed. at first, the profit upon the soda was so great, that no one took the trouble to collect the muriatic acid: indeed it had no commercial value. a profitable application of it was, however, soon discovered: it is a compound of chlorine, and this substance may be obtained from it purer than from any other source. the bleaching power of chlorine has long been known; but it was only employed upon a large scale after it was obtained from this residuary muriatic acid, and it was found that in combination with lime it could be transported to distances without inconvenience. thenceforth it was used for bleaching cotton; and, but for this new bleaching process, it would scarcely have been possible for the cotton manufacture of great britain to have attained its present enormous extent,--it could not have competed in price with france and germany. in the old process of bleaching, every piece must be exposed to the air and light during several weeks in the summer, and kept continually moist by manual labour. for this purpose, meadow land, eligibly situated, was essential. now a single establishment near glasgow bleaches pieces of cotton daily, throughout the year. what an enormous capital would be required to purchase land for this purpose! how greatly would it increase the cost of bleaching to pay interest upon this capital, or to hire so much land in england! this expense would scarcely have been felt in germany. besides the diminished expense, the cotton stuffs bleached with chlorine suffer less in the hands of skilful workmen than those bleached in the sun; and already the peasantry in some parts of germany have adopted it, and find it advantageous. another use to which cheap muriatic acid is applied, is the manufacture of glue from bones. bone contains from to per cent. of earthy matter--chiefly phosphate of lime, and the remainder is gelatine. when bones are digested in muriatic acid they become transparent and flexible like leather, the earthy matter is dissolved, and after the acid is all carefully washed away, pieces of glue of the same shape as the bones remain, which are soluble in hot water and adapted to all the purposes of ordinary glue, without further preparation. another important application of sulphuric acid may be adduced; namely, to the refining of silver and the separation of gold, which is always present in some proportion in native silver. silver, as it is usually obtained from mines in europe, contains in ounces, to ounces of copper. when used by the silversmith, or in coining, ounces must contain in germany ounces of silver, in england about / . but this alloy is always made artificially by mixing pure silver with the due proportion of the copper; and for this purpose the silver must be obtained pure by the refiner. this he formerly effected by amalgamation, or by roasting it with lead; and the cost of this process was about l. for every hundred-weight of silver. in the silver so prepared, about / to / th part of gold remained; to effect the separation of this by nitrio-hydrochloric acid was more expensive than the value of the gold; it was therefore left in utensils, or circulated in coin, valueless. the copper, too, of the native silver was no use whatever. but the / th part of gold, being about one and a half per cent. of the value of the silver, now covers the cost of refining, and affords an adequate profit to the refiner; so that he effects the separation of the copper, and returns to his employer the whole amount of the pure silver, as well as the copper, without demanding any payment: he is amply remunerated by that minute portion of gold. the new process of refining is a most beautiful chemical operation: the granulated metal is boiled in concentrated sulphuric acid, which dissolves both the silver and the copper, leaving the gold nearly pure, in the form of a black powder. the solution is then placed in a leaden vessel containing metallic copper; this is gradually dissolved, and the silver precipitated in a pure metallic state. the sulphate of copper thus formed is also a valuable product, being employed in the manufacture of green and blue pigments. other immediate results of the economical production of sulphuric acid, are the general employment of phosphorus matches, and of stearine candles, that beautiful substitute for tallow and wax. twenty-five years ago, the present prices and extensive applications of sulphuric and muriatic acids, of soda, phosphorus, &c., would have been considered utterly impossible. who is able to foresee what new and unthought-of chemical productions, ministering to the service and comforts of mankind, the next twenty-five years may produce? after these remarks you will perceive that it is no exaggeration to say, we may fairly judge of the commercial prosperity of a country from the amount of sulphuric acid it consumes. reflecting upon the important influence which the price of sulphur exercises upon the cost of production of bleached and printed cotton stuffs, soap, glass, &c., and remembering that great britain supplies america, spain, portugal, and the east, with these, exchanging them for raw cotton, silk, wine, raisins, indigo, &c., &c., we can understand why the english government should have resolved to resort to war with naples, in order to abolish the sulphur monopoly, which the latter power attempted recently to establish. nothing could be more opposed to the true interests of sicily than such a monopoly; indeed, had it been maintained a few years, it is highly probable that sulphur, the source of her wealth, would have been rendered perfectly valueless to her. science and industry form a power to which it is dangerous to present impediments. it was not difficult to perceive that the issue would be the entire cessation of the exportation of sulphur from sicily. in the short period the sulphur monopoly lasted, fifteen patents were taken out for methods to obtain back the sulphuric acid used in making soda. admitting that these fifteen experiments were not perfectly successful, there can be no doubt it would ere long have been accomplished. but then, in gypsum, (sulphate of lime), and in heavy-spar, (sulphate of barytes), we possess mountains of sulphuric acid; in galena, (sulphate of lead), and in iron pyrites, we have no less abundance of sulphur. the problem is, how to separate the sulphuric acid, or the sulphur, from these native stores. hundreds of thousands of pounds weight of sulphuric acid were prepared from iron pyrites, while the high price of sulphur consequent upon the monopoly lasted. we should probably ere long have triumphed over all difficulties, and have separated it from gypsum. the impulse has been given, the possibility of the process proved, and it may happen in a few years that the inconsiderate financial speculation of naples may deprive her of that lucrative commerce. in like manner russia, by her prohibitory system, has lost much of her trade in tallow and potash. one country purchases only from absolute necessity from another, which excludes her own productions from her markets. instead of the tallow and linseed oil of russia, great britain now uses palm oil and cocoa-nut oil of other countries. precisely analogous is the combination of workmen against their employers, which has led to the construction of many admirable machines for superseding manual labour. in commerce and industry every imprudence carries with it its own punishment; every oppression immediately and sensibly recoils upon the head of those from whom it emanates. letter iv my dear sir, one of the most influential causes of improvement in the social condition of mankind is that spirit of enterprise which induces men of capital to adopt and carry out suggestions for the improvement of machinery, the creation of new articles of commerce, or the cheaper production of those already in demand; and we cannot but admire the energy with which such men devote their talents, their time, and their wealth, to realise the benefits of the discoveries and inventions of science. for even when these are expended upon objects wholly incapable of realisation,--nay, even when the idea which first gave the impulse proves in the end to be altogether impracticable or absurd, immediate good to the community generally ensues; some useful and perhaps unlooked-for result flows directly, or springs ultimately, from exertions frustrated in their main design. thus it is also in the pursuit of science. theories lead to experiments and investigations; and he who investigates will scarcely ever fail of being rewarded by discoveries. it may be, indeed, the theory sought to be established is entirely unfounded in nature; but while searching in a right spirit for one thing, the inquirer may be rewarded by finding others far more valuable than those which he sought. at the present moment, electro-magnetism, as a moving power, is engaging great attention and study; wonders are expected from its application to this purpose. according to the sanguine expectations of many persons, it will shortly be employed to put into motion every kind of machinery, and amongst other things it will be applied to impel the carriages of railroads, and this at so small a cost, that expense will no longer be matter of consideration. england is to lose her superiority as a manufacturing country, inasmuch as her vast store of coals will no longer avail her as an economical source of motive power. "we," say the german cultivators of this science, "have cheap zinc, and, how small a quantity of this metal is required to turn a lathe, and consequently to give motion to any kind of machinery!" such expectations may be very attractive, and yet they are altogether illusory! they will not bear the test of a few simple calculations; and these our friends have not troubled themselves to institute. with a simple flame of spirits of wine, under a proper vessel containing boiling water, a small carriage of to pounds weight can be put into motion, or a weight of to pounds may be raised to a height of feet. the same effects may be produced by dissolving zinc in dilute sulphuric acid in a certain apparatus. this is certainly an astonishing and highly interesting discovery; but the question to be determined is, which of the two processes is the least expensive? in order to answer this question, and to judge correctly of the hopes entertained from this discovery, let me remind you of what chemists denominate "equivalents." these are certain unalterable ratios of effects which are proportionate to each other, and may therefore be expressed in numbers. thus, if we require pounds of oxygen to produce a certain effect, and we wish to employ chlorine for the same effect, we must employ neither more nor less than / pounds weight. in the same manner, pounds weight of coal are equivalent to pounds weight of zinc. the numbers representing chemical equivalents express very general ratios of effects, comprehending for all bodies all the actions they are capable of producing. if zinc be combined in a certain manner with another metal, and submitted to the action of dilute sulphuric acid, it is dissolved in the form of an oxide; it is in fact burned at the expense of the oxygen contained in the fluid. a consequence of this action is the production of an electric current, which, if conducted through a wire, renders it magnetic. in thus effecting the solution of a pound weight, for example, of zinc, we obtain a definite amount of force adequate to raise a given weight one inch, and to keep it suspended; and the amount of weight it will be capable of suspending will be the greater the more rapidly the zinc is dissolved. by alternately interrupting and renewing the contact of the zinc with the acid, and by very simple mechanical arrangements, we can give to the iron an upward and downward or a horizontal motion, thus producing the conditions essential to the motion of any machinery. this moving force is produced by the oxidation of the zinc; and, setting aside the name given to the force in this case, we know that it can be produced in another manner. if we burn the zinc under the boiler of a steam-engine, consequently in the oxygen of the air instead of the galvanic pile, we should produce steam, and by it a certain amount of force. if we should assume, (which, however, is not proved,) that the quantity of force is unequal in these cases,--that, for instance, we had obtained double or triple the amount in the galvanic pile, or that in this mode of generating force less loss is sustained,--we must still recollect the equivalents of zinc and coal, and make these elements of our calculation. according to the experiments of despretz, pounds weight of zinc, in combining with oxygen, develops no more heat than pound of coal; consequently, under equal conditions, we can produce six times the amount of force with a pound of coal as with a pound of zinc. it is therefore obvious that it would be more advantageous to employ coal instead of zinc, even if the latter produced four times as much force in a galvanic pile, as an equal weight of coal by its combustion under a boiler. indeed it is highly probable, that if we burn under the boiler of a steam-engine the quantity of coal required for smelting the zinc from its ores, we shall produce far more force than the whole of the zinc so obtained could originate in any form of apparatus whatever. heat, electricity, and magnetism, have a similar relation to each other as the chemical equivalents of coal, zinc, and oxygen. by a certain measure of electricity we produce a corresponding proportion of heat or of magnetic power; we obtain that electricity by chemical affinity, which in one shape produces heat, in another electricity or magnetism. a certain amount of affinity produces an equivalent of electricity in the same manner as, on the other hand, we decompose equivalents of chemical compounds by a definite measure of electricity. the magnetic force of the pile is therefore limited to the extent of the chemical affinity, and in the case before us is obtained by the combination of the zinc and sulphuric acid. in the combustion of coal, the heat results from, and is measured by, the affinity of the oxygen of the atmosphere for that substance. it is true that with a very small expense of zinc, we can make an iron wire a magnet capable of sustaining a thousand pounds weight of iron; let us not allow ourselves to be misled by this. such a magnet could not raise a single pound weight of iron two inches, and therefore could not impart motion. the magnet acts like a rock, which while at rest presses with a weight of a thousand pounds upon a basis; it is like an inclosed lake, without an outlet and without a fall. but it may be said, we have, by mechanical arrangements, given it an outlet and a fall. true; and this must be regarded as a great triumph of mechanics; and i believe it is susceptible of further improvements, by which greater force may be obtained. but with every conceivable advantage of mechanism, no one will dispute that one pound of coal, under the boiler of a steam-engine, will give motion to a mass several hundred times greater than a pound of zinc in the galvanic pile. our experience of the employment of electro-magnetism as a motory power is, however, too recent to enable us to foresee the ultimate results of contrivances to apply it; and, therefore, those who have devoted themselves to solve the problem of its application should not be discouraged, inasmuch as it would undoubtedly be a most important achievement to supersede the steam-engine, and thus escape the danger of railroads, even at double their expense. professor weber of gottingen has thrown out a suggestion, that if a contrivance could be devised to enable us to convert at will the wheels of the steam-carriage into magnets, we should be enabled to ascend and descend acclivities with great facility. this notion may ultimately be, to a certain extent, realised. the employment of the galvanic pile as a motory power, however, must, like every other contrivance, depend upon the question of its relative economy: probably some time hence it may so far succeed as to be adopted in certain favourable localities; it may stand in the same relation to steam power as the manufacture of beet sugar bears to that of cane, or as the production of gas from oils and resins to that from mineral coal. the history of beet-root sugar affords us an excellent illustration of the effect of prices upon commercial productions. this branch of industry seems at length, as to its processes, to be perfected. the most beautiful white sugar is now manufactured from the beet-root, in the place of the treacle-like sugar, having the taste of the root, which was first obtained; and instead of or per cent., the proportion obtained by achard, double or even treble that amount is now produced. and notwithstanding the perfection of the manufacture, it is probable it will ere long be in most places entirely discontinued. in the years to , the prices of agricultural produce were much lower than at present, while the price of sugar was the same. at that time one malter [ ] of wheat was s., and one klafter [ ] of wood s., and land was falling in price. thus, food and fuel were cheap, and the demand for sugar unlimited; it was, therefore, advantageous to grow beet-root, and to dispose of the produce of land as sugar. all these circumstances are now different. a malter of wheat costs s.; a klafter of wood, s. to s. wages have risen, but not in proportion, whilst the price of colonial sugar has fallen. within the limits of the german commercial league, as, for instance, at frankfort-on-the-maine, a pound of the whitest and best loaf sugar is d.; the import duty is /d., or s. per cwt., leaving /d. as the price of the sugar. in the year , then, one malter of wheat was equal to lbs. weight of sugar, whilst at present that quantity of wheat is worth lbs. of sugar. if indeed fuel were the same in price as formerly, and lbs. of sugar could be obtained from the same quantity of the root as then yielded lbs., it might still be advantageously produced; but the amount, if now obtained by the most approved methods of extraction, falls far short of this; and as fuel is double the price, and labour dearer, it follows that, at present, it is far more advantageous to cultivate wheat and to purchase sugar. there are, however, other elements which must enter into our calculations; but these serve to confirm our conclusion that the manufacture of beet-root sugar as a commercial speculation must cease. the leaves and residue of the root, after the juice was expressed, were used as food for cattle, and their value naturally increased with the price of grain. by the process formerly pursued, lbs. weight of juice were obtained from lbs. of beet-root, and gave lbs. of sugar. the method of schutzenbach, which was eagerly adopted by the manufacturers, produced from the same quantity of root lbs. of sugar; but it was attended with more expense to produce, and the loss of the residue as food for cattle. the increased expense in this process arises from the larger quantity of fuel required to evaporate the water; for instead of merely evaporating the juice, the dry residue is treated with water, and we require fuel sufficient to evaporate lbs. of fluid instead of lbs., and the residue is only fit for manure. the additional lbs. of sugar are purchased at the expense of much fuel, and the loss of the residue as an article of food. if the valley of the rhine possessed mines of diamonds as rich as those of golconda, visiapoor, or the brazils, they would probably not be worth the working: at those places the cost of extraction is s. to s. the carat. with us it amounts to three or four times as much--to more, in fact, than diamonds are worth in the market. the sand of the rhine contains gold; and in the grand duchy of baden many persons are occupied in gold-washing when wages are low; but as soon as they rise, this employment ceases. the manufacture of sugar from beet-root, in the like manner, twelve to fourteen years ago offered advantages which are now lost: instead, therefore, of maintaining it at a great sacrifice, it would be more reasonable, more in accordance with true natural economy, to cultivate other and more valuable productions, and with them purchase sugar. not only would the state be the gainer, but every member of the community. this argument does not apply, perhaps, to france and bohemia, where the prices of fuel and of colonial sugar are very different to those in germany. the manufacture of gas for lighting, from coal, resin, and oils, stands with us on the same barren ground. the price of the materials from which gas is manufactured in england bears a direct proportion to the price of corn: there the cost of tallow and oil is twice as great as in germany, but iron and coal are two-thirds cheaper; and even in england the manufacture of gas is only advantageous when the other products of the distillation of coal, the coke, &c., can be sold. it would certainly be esteemed one of the greatest discoveries of the age if any one could succeed in condensing coal gas into a white, dry, solid, odourless substance, portable, and capable of being placed upon a candlestick, or burned in a lamp. wax, tallow, and oil, are combustible gases in a solid or fluid form, which offer many advantages for lighting, not possessed by gas: they furnish, in well-constructed lamps, as much light, without requiring the expensive apparatus necessary for the combustion of gas, and they are generally more economical. in large towns, or such establishments as hotels, where coke is in demand, and where losses in stolen tallow or oil must be considered, together with the labour of snuffing candles and cleaning lamps, the higher price of gas is compensated. in places where gas can be manufactured from resin, oil of turpentine, and other cheap oils, as at frankfort, this is advantageous so long as it is pursued on small scale only. if large towns were lighted in the same manner, the materials would rise in price: the whole amount at present produced would scarcely suffice for two such towns as berlin and munich. but no just calculation can be made from the present prices of turpentine, resin, &c., which are not produced upon any large scale. [footnote : malter--a measure containing several bushels, but varying in different countries.] [footnote : klafter--a cord, a stack, measuring six feet every way.] letter v my dear sir, until very recently it was supposed that the physical qualities of bodies, i.e. hardness, colour, density, transparency, &c., and still more their chemical properties, must depend upon the nature of their elements, or upon their composition. it was tacitly received as a principle, that two bodies containing the same elements in the same proportion, must of necessity possess the same properties. we could not imagine an exact identity of composition giving rise to two bodies entirely different in their sensible appearance and chemical relations. the most ingenious philosophers entertained the opinion that chemical combination is an inter-penetration of the particles of different kinds of matter, and that all matter is susceptible of infinite division. this has proved to be altogether a mistake. if matter were infinitely divisible in this sense, its particles must be imponderable, and a million of such molecules could not weigh more than an infinitely small one. but the particles of that imponderable matter, which, striking upon the retina, give us the sensation of light, are not in a mathematical sense infinitely small. inter-penetration of elements in the production of a chemical compound, supposes two distinct bodies, a and b, to occupy one and the same space at the same time. if this were so, different properties could not consist with an equal and identical composition. that hypothesis, however, has shared the fate of innumerable imaginative explanations of natural phenomena, in which our predecessors indulged. they have now no advocate. the force of truth, dependent upon observation, is irresistible. a great many substances have been discovered amongst organic bodies, composed of the same elements in the same relative proportions, and yet exhibiting physical and chemical properties perfectly distinct one from another. to such substances the term isomeric (from /ao / equal and aei /o / part) is applied. a great class of bodies, known as the volatile oils, oil of turpentine, essence of lemons, oil of balsam of copaiba, oil of rosemary, oil of juniper, and many others, differing widely from each other in their odour, in their medicinal effects, in their boiling point, in their specific gravity, &c., are exactly identical in composition,--they contain the same elements, carbon and hydrogen, in the same proportions. how admirably simple does the chemistry of organic nature present itself to us from this point of view! an extraordinary variety of compound bodies produced with equal weights of two elements! and how wide their dissimilarity! the crystallised part of the oil of roses, the delicious fragrance of which is so well known, a solid at ordinary temperatures, although readily volatile, is a compound body containing exactly the same elements, and in the same proportions, as the gas we employ for lighting our streets; and, in short, the same elements, in the same relative quantities, are found in a dozen other compounds, all differing essentially in their physical and chemical properties. these remarkable truths, so highly important in their applications, were not received and admitted as sufficiently established, without abundant proofs. many examples have long been known where the analysis of two different bodies gave the same composition; but such cases were regarded as doubtful: at any rate, they were isolated observations, homeless in the realms of science: until, at length, examples were discovered of two or more bodies whose absolute identity of composition, with totally distinct properties, could be demonstrated in a more obvious and conclusive manner than by mere analysis; that is, they can be converted and reconverted into each other without addition and without subtraction. in cyanuric acid, hydrated cyanic acid, and cyamelide, we have three such isomeric compounds. cyanuric acid is crystalline, soluble in water, and capable of forming salts with metallic oxides. hydrated cyanic acid is a volatile and highly blistering fluid, which cannot be brought into contact with water without being instantaneously decomposed. cyamelide is a white substance very like porcelain, absolutely insoluble in water. now if we place the first,--cyanuric acid,--in a vessel hermetically sealed, and apply a high degree of heat, it is converted by its influence into hydrated cyanic acid; and, then, if this is kept for some time at the common temperature, it passes into cyamelide, no other element being present. and, again inversely, cyamelide can be converted into cyanuric acid and hydrated cyanic acid. we have three other bodies which pass through similar changes, in aldehyde, metaldehyde, and etaldehyde; and, again two, in urea and cyanuret of ammonia. further, parts of aldehyde hydrated butyric acid and acetic ether contain the same elements in the same proportion. thus one substance may be converted into another without addition or subtraction, and without the participation of any foreign bodies in the change. the doctrine that matter is not infinitely divisible, but on the contrary, consists of atoms incapable of further division, alone furnishes us with a satisfactory explanation of these phenomena. in chemical combinations, the ultimate atoms of bodies do not penetrate each other, they are only arranged side by side in a certain order, and the properties of the compound depend entirely upon this order. if they are made to change their place--their mode of arrangement--by an impulse from without, they combine again in a different manner, and another compound is formed with totally different properties. we may suppose that one atom combines with one atom of another element to form a compound atom, while in other bodies two and two, four and four, eight and eight, are united; so that in all such compounds the amount per cent. of the elements is absolutely equal; and yet their physical and chemical properties must be totally different, the constitution of each atom being peculiar, in one body consisting of two, in another of four, in a third of eight, and in a fourth of sixteen simple atoms. the discovery of these facts immediately led to many most beautiful and interesting results; they furnished us with a satisfactory explanation of observations which were before veiled in mystery,--a key to many of nature's most curious recesses. again; solid bodies, whether simple or compound, are capable of existing in two states, which are known by the terms amorphous and crystalline. when matter is passing from a gaseous or liquid state slowly into a solid, an incessant motion is observed, as if the molecules were minute magnets; they are seen to repel each other in one direction, and to attract and cohere together in another, and in the end become arranged into a regular form, which under equal circumstances is always the same for any given kind of matter; that is, crystals are formed. time and freedom of motion for the particles of bodies are necessary to the formation of crystals. if we force a fluid or a gas to become suddenly solid, leaving no time for its particles to arrange themselves, and cohere in that direction in which the cohesive attraction is strongest, no crystals will be formed, but the resulting solid will have a different colour, a different degree of hardness and cohesion, and will refract light differently; in one word, will be amorphous. thus we have cinnabar as a red and a jet-black substance; sulphur a fixed and brittle body, and soft, semitransparent, and ductile; glass as a milk-white opaque substance, so hard that it strikes fire with steel, and in its ordinary and well-known state. these dissimilar states and properties of the same body are occasioned in one case by a regular, in the other by an irregular, arrangement of its atoms; one is crystalline, the other amorphous. applying these facts to natural productions, we have reason to believe that clay-slate, and many kinds of greywacke, are amorphous feldspar, as transition limestone is amorphous marble, basalt and lava mixtures of amorphous zeolite and augite. anything that influences the cohesion, must also in a certain degree alter the properties of bodies. carbonate of lime, if crystallised at ordinary temperatures, possesses the crystalline form, hardness, and refracting power of common spar; if crystallised at a higher temperature, it has the form and properties of arragonite. finally, isomorphism, or the equality of form of many chemical compounds having a different composition, tends to prove that matter consists of atoms the mere arrangement of which produces all the properties of bodies. but when we find that a different arrangement of the same elements gives rise to various physical and chemical properties, and a similar arrangement of different elements produces properties very much the same, may we not inquire whether some of those bodies which we regard as elements may not be merely modifications of the same substance?--whether they are not the same matter in a different state of arrangement? we know in fact the existence of iron in two states, so dissimilar, that in the one, it is to the electric chain like platinum, and in the other it is like zinc; so that powerful galvanic machines have been constructed of this one metal. among the elements are several instances of remarkable similarity of properties. thus there is a strong resemblance between platinum and iridium; bromine and iodine; iron, manganese, and magnesium; cobalt and nickel; phosphorus and arsenic; but this resemblance consists mainly in their forming isomorphous compounds in which these elements exist in the same relative proportion. these compounds are similar, because the atoms of which they are composed are arranged in the same manner. the converse of this is also true: nitrate of strontia becomes quite dissimilar to its common state if a certain proportion of water is taken into its composition. if we suppose selenium to be merely modified sulphur, and phosphorus modified arsenic, how does it happen, we must inquire, that sulphuric acid and selenic acid, phosphoric and arsenic acid, respectively form compounds which it is impossible to distinguish by their form and solubility? were these merely isomeric, they ought to exhibit properties quite dissimilar! we have not, i believe, at present the remotest ground to suppose that any one of those substances which chemists regard as elements can be converted into another. such a conversion, indeed, would presuppose that the element was composed of two or more ingredients, and was in fact not an element; and until the decomposition of these bodies is accomplished, and their constituents discovered, all pretensions to such conversions deserve no notice. dr. brown of edinburgh thought he had converted iron into rhodium, and carbon or paracyanogen into silicon. his paper upon this subject was published in the transactions of the royal society of edinburgh, and contained internal evidence, without a repetition of his experiments, that he was totally unacquainted with the principles of chemical analysis. but his experiments have been carefully repeated by qualified persons, and they have completely proved his ignorance: his rhodium is iron, and his silicon an impure incombustible coal. letter vi my dear sir, one of the most remarkable effects of the recent progress of science is the alliance of chemistry with physiology, by which a new and unexpected light has been thrown upon the vital processes of plants and animals. we have now no longer any difficulty in understanding the different actions of aliments, poisons, and remedial agents--we have a clear conception of the causes of hunger, of the exact nature of death; and we are not, as formerly, obliged to content ourselves with a mere description of their symptoms. it is now ascertained with positive certainty, that all the substances which constitute the food of man must be divided into two great classes, one of which serves for the nutrition and reproduction of the animal body, whilst the other ministers to quite different purposes. thus starch, gum, sugar, beer, wine, spirits, &c., furnish no element capable of entering into the composition of blood, muscular fibre, or any part which is the seat of the vital principle. it must surely be universally interesting to trace the great change our views have undergone upon these subjects, as well as to become acquainted with the researches from which our present knowledge is derived. the primary conditions of the maintenance of animal life, are a constant supply of certain matters, animal food, and of oxygen, in the shape of atmospheric air. during every moment of life, oxygen is absorbed from the atmosphere in the organs of respiration, and the act of breathing cannot cease while life continues. the observations of physiologists have demonstrated that the body of an adult man supplied abundantly with food, neither increases nor diminishes in weight during twenty-four hours, and yet the quantity of oxygen absorbed into his system, in that period, is very considerable. according to the experiments of lavoisier, an adult man takes into his system from the atmosphere, in one year, no less than pounds weight of oxygen; the calculations of menzies make the quantity amount even to pounds; but we find his weight at the end of the year either exactly the same or different one way or the other by at most a few pounds. what, it may be asked, has become of the enormous amount of oxygen thus introduced into the human system in the course of one year? we can answer this question satisfactorily. no part of the oxygen remains in the body, but is given out again, combined with carbon and hydrogen. the carbon and hydrogen of certain parts of the animal body combine with the oxygen introduced through the lungs and skin, and pass off in the forms of carbonic acid and vapour of water. at every expiration and every moment of life, a certain amount of its elements are separated from the animal organism, having entered into combination with the oxygen of the atmosphere. in order to obtain a basis for the approximate calculation, we may assume, with lavoisier and seguin, that an adult man absorbs into his system / ounces of oxygen daily,--that is, , cubic inches = , grains, french weight; and further, that the weight of the whole mass of his blood is pounds, of which per cent. is water. now, from the known composition of the blood, we know that in order to convert its whole amount of carbon and hydrogen into carbonic acid and water, . grains of oxygen are required. this quantity will be taken into the system in four days and five hours. whether the oxygen enters into combination directly with the elements of the blood, or with the carbon and hydrogen of other parts of the body, it follows inevitably--the weight of the body remaining unchanged and in a normal condition--that as much of these elements as will suffice to supply pounds of blood, must be taken into the system in four days and five hours; and this necessary amount is furnished by the food. we have not, however, remained satisfied with mere approximation: we have determined accurately, in certain cases, the quantity of carbon taken daily in the food, and of that which passes out of the body in the faeces and urine combined--that is, uncombined with oxygen; and from these investigations it appears that an adult man taking moderate exercise consumes . ounces of carbon, which pass off through the skin and lungs as carbonic acid gas. [ ] it requires ounces of oxygen to convert / of carbon into carbonic acid. again; according to the analysis of boussingault, (annales de chim. et de phys., lxx. i. p. ), a horse consumes / ounces of carbon in twenty-four hours, a milch cow / ounces; so that the horse requires pounds / ounces, and the cow pounds / ounces of oxygen. [ ] as no part of the oxygen taken into the system of an animal is given off in any other form than combined with carbon or hydrogen, and as in a normal condition, or state of health, the carbon and hydrogen so given off are replaced by those elements in the food, it is evident that the amount of nourishment required by an animal for its support must be in a direct ratio with the quantity of oxygen taken in to its system. two animals which in equal times take up by means of the lungs and skin unequal quantities of oxygen, consume an amount of food unequal in the same ratio. the consumption of oxygen in a given time may be expressed by the number of respirations; it is, therefore, obvious that in the same animal the quantity of nourishment required must vary with the force and number of respirations. a child breathes quicker than an adult, and, consequently, requires food more frequently and proportionably in larger quantity, and bears hunger less easily. a bird deprived of food dies on the third day, while a serpent, confined under a bell, respires so slowly that the quantity of carbonic acid generated in an hour can scarcely be observed, and it will live three months, or longer, without food. the number of respirations is fewer in a state of rest than during labour or exercise: the quantity of food necessary in both cases must be in the same ratio. an excess of food, a want of a due amount of respired oxygen, or of exercise, as also great exercise (which obliges us to take an increased supply of food), together with weak organs of digestion, are incompatible with health. but the quantity of oxygen received by an animal through the lungs not only depends upon the number of respirations, but also upon the temperature of the respired air. the size of the thorax of an animal is unchangeable; we may therefore regard the volume of air which enters at every inspiration as uniform. but its weight, and consequently the amount of oxygen it contains, is not constant. air is expanded by heat, and contracted by cold--an equal volume of hot and cold air contains, therefore, an unequal amount of oxygen. in summer atmospheric air contains water in the form of vapour, it is nearly deprived of it in winter; the volume of oxygen in the same volume of air is smaller in summer than in winter. in summer and winter, at the pole and at the equator, we inspire an equal volume of air; the cold air is warmed during respiration and acquires the temperature of the body. in order, therefore, to introduce into the lungs a given amount of oxygen, less expenditure of force is necessary in winter than in summer, and for the same expenditure of force more oxygen is inspired in winter. it is also obvious that in an equal number of respirations we consume more oxygen at the level of the sea than on a mountain. the oxygen taken into the system is given out again in the same form, both in summer and winter: we expire more carbon at a low than at a high temperature, and require more or less carbon in our food in the same proportion; and, consequently, more is respired in sweden than in sicily, and in our own country and eighth more in winter than in summer. even if an equal weight of food is consumed in hot and cold climates, infinite wisdom has ordained that very unequal proportions of carbon shall be taken in it. the food prepared for the inhabitants of southern climes does not contain in a fresh state more than per cent. of carbon, while the blubber and train oil which feed the inhabitants of polar regions contain to per cent. of that element. from the same cause it is comparatively easy to be temperate in warm climates, or to bear hunger for a long time under the equator; but cold and hunger united very soon produce exhaustion. the oxygen of the atmosphere received into the blood in the lungs, and circulated throughout every part of the animal body, acting upon the elements of the food, is the source of animal heat. [footnote : this account is deduced from observations made upon the average daily consumption of about soldiers in barracks. the food of these men, consisting of meat, bread, potatoes, lentils, peas, beans, butter, salt, pepper, &c., was accurately weighed during a month, and each article subjected to ultimate analysis. of the quantity of food, beer, and spirits, taken by the men when out of barracks, we have a close approximation from the report of the sergeant; and from the weight and analysis of the faeces and urine, it appears that the carbon which passes off through these channels may be considered equivalent to the amount taken in that portion of the food, and of sour-crout, which was not included in the estimate.] [footnote : . ounces = . kilogramme.] letter vii my dear sir, the source of animal heat, its laws, and the influence it exerts upon the functions of the animal body, constitute a curious and highly interesting subject, to which i would now direct your attention. all living creatures, whose existence depends upon the absorption of oxygen, possess within themselves a source of heat, independent of surrounding objects. this general truth applies to all animals, and extends to the seed of plants in the act of germination, to flower-buds when developing, and fruits during their maturation. in the animal body, heat is produced only in those parts to which arterial blood, and with it the oxygen absorbed in respiration, is conveyed. hair, wool, and feathers, receive no arterial blood, and, therefore, in them no heat is developed. the combination of a combustible substance with oxygen is, under all circumstances, the only source of animal heat. in whatever way carbon may combine with oxygen, the act of combination is accompanied by the disengagement of heat. it is indifferent whether this combination takes place rapidly or slowly, at a high or at a low temperature: the amount of heat liberated is a constant quantity. the carbon of the food, being converted into carbonic acid within the body, must give out exactly as much heat as if it had been directly burnt in oxygen gas or in common air; the only difference is, the production of the heat is diffused over unequal times. in oxygen gas the combustion of carbon is rapid and the heat intense; in atmospheric air it burns slower and for a longer time, the temperature being lower; in the animal body the combination is still more gradual, and the heat is lower in proportion. it is obvious that the amount of heat liberated must increase or diminish with the quantity of oxygen introduced in equal times by respiration. those animals, therefore, which respire frequently, and consequently consume much oxygen, possess a higher temperature than others, which, with a body of equal size to be heated, take into the system less oxygen. the temperature of a child ( deg) is higher than that of an adult ( / deg). that of birds ( deg to . deg) is higher than that of quadrupeds ( / deg to . deg) or than that of fishes or amphibia, whose proper temperature is from . to . deg higher than that of the medium in which they live. all animals, strictly speaking, are warm-blooded; but in those only which possess lungs is the temperature of the body quite independent of the surrounding medium. the most trustworthy observations prove that in all climates, in the temperate zones as well as at the equator or the poles, the temperature of the body in man, and in what are commonly called warm-blooded animals, is invariably the same; yet how different are the circumstances under which they live! the animal body is a heated mass, which bears the same relation to surrounding objects as any other heated mass. it receives heat when the surrounding objects are hotter, it loses heat when they are colder, than itself. we know that the rapidity of cooling increases with the difference between the temperature of the heated body and that of the surrounding medium; that is, the colder the surrounding medium the shorter the time required for the cooling of the heated body. how unequal, then, must be the loss of heat in a man at palermo, where the external temperature is nearly equal to that of the body, and in the polar regions, where the external temperature is from deg to deg lower! yet, notwithstanding this extremely unequal loss of heat, experience has shown that the blood of the inhabitant of the arctic circle has a temperature as high as that of the native of the south, who lives in so different a medium. this fact, when its true significance is perceived, proves that the heat given off to the surrounding medium is restored within the body with great rapidity. this compensation must consequently take place more rapidly in winter than in summer, at the pole than at the equator. now, in different climates the quantity of oxygen introduced into the system by respiration, as has been already shown, varies according to the temperature of the external air; the quantity of inspired oxygen increases with the loss of heat by external cooling, and the quantity of carbon or hydrogen necessary to combine with this oxygen must be increased in the same ratio. it is evident that the supply of the heat lost by cooling is effected by the mutual action of the elements of the food and the inspired oxygen, which combine together. to make use of a familiar, but not on that account a less just illustration, the animal body acts, in this respect, as a furnace, which we supply with fuel. it signifies nothing what intermediate forms food may assume, what changes it may undergo in the body; the last change is uniformly the conversion of its carbon into carbonic acid, and of its hydrogen into water. the unassimilated nitrogen of the food, along with the unburned or unoxidised carbon, is expelled in the urine or in the solid excrements. in order to keep up in the furnace a constant temperature, we must vary the supply of fuel according to the external temperature, that is, according to the supply of oxygen. in the animal body the food is the fuel; with a proper supply of oxygen we obtain the heat given out during its oxidation or combustion. in winter, when we take exercise in a cold atmosphere, and when consequently the amount of inspired oxygen increases, the necessity for food containing carbon and hydrogen increases in the same ratio; and by gratifying the appetite thus excited, we obtain the most efficient protection against the most piercing cold. a starving man is soon frozen to death. the animals of prey in the arctic regions, as every one knows, far exceed in voracity those of the torrid zone. in cold and temperate climates, the air, which incessantly strives to consume the body, urges man to laborious efforts in order to furnish the means of resistance to its action, while, in hot climates, the necessity of labour to provide food is far less urgent. our clothing is merely an equivalent for a certain amount of food. the more warmly we are clothed the less urgent becomes the appetite for food, because the loss of heat by cooling, and consequently the amount of heat to be supplied by the food, is diminished. if we were to go naked, like certain savage tribes, or if in hunting or fishing we were exposed to the same degree of cold as the samoyedes, we should be able with ease to consume lbs. of flesh, and perhaps a dozen of tallow candles into the bargain, daily, as warmly clad travellers have related with astonishment of these people. we should then also be able to take the same quantity of brandy or train oil without bad effects, because the carbon and hydrogen of these substances would only suffice to keep up the equilibrium between the external temperature and that of our bodies. according to the preceding expositions, the quantity of food is regulated by the number of respirations, by the temperature of the air, and by the amount of heat given off to the surrounding medium. no isolated fact, apparently opposed to this statement, can affect the truth of this natural law. without temporary or permanent injury to health, the neapolitan cannot take more carbon and hydrogen in the shape of food than he expires as carbonic acid and water; and the esquimaux cannot expire more carbon and hydrogen than he takes in the system as food, unless in a state of disease or of starvation. let us examine these states a little more closely. the englishman in jamaica perceives with regret the disappearance of his appetite, previously a source of frequently recurring enjoyment; and he succeeds, by the use of cayenne pepper, and the most powerful stimulants, in enabling himself to take as much food as he was accustomed to eat at home. but the whole of the carbon thus introduced into the system is not consumed; the temperature of the air is too high, and the oppressive heat does not allow him to increase the number of respirations by active exercise, and thus to proportion the waste to the amount of food taken; disease of some kind, therefore, ensues. on the other hand, england sends her sick to southern regions, where the amount of the oxygen inspired is diminished in a very large proportion. those whose diseased digestive organs have in a greater or less degree lost the power of bringing the food into the state best adapted for oxidation, and therefore are less able to resist the oxidising influence of the atmosphere of their native climate, obtain a great improvement in health. the diseased organs of digestion have power to place the diminished amount of food in equilibrium with the inspired oxygen, in the mild climate; whilst in a colder region the organs of respiration themselves would have been consumed in furnishing the necessary resistance to the action of the atmospheric oxygen. in our climate, hepatic diseases, or those arising from excess of carbon, prevail in summer; in winter, pulmonary diseases, or those arising from excess of oxygen, are more frequent. the cooling of the body, by whatever cause it may be produced, increases the amount of food necessary. the mere exposure to the open air, in a carriage or on the deck of a ship, by increasing radiation and vaporisation, increases the loss of heat, and compels us to eat more than usual. the same is true of those who are accustomed to drink large quantities of cold water, which is given off at the temperature of the body, / deg. it increases the appetite, and persons of weak constitution find it necessary, by continued exercise, to supply to the system the oxygen required to restore the heat abstracted by the cold water. loud and long continued speaking, the crying of infants, moist air, all exert a decided and appreciable influence on the amount of food which is taken. we have assumed that carbon and hydrogen especially, by combining with oxygen, serve to produce animal heat. in fact, observation proves that the hydrogen of the food plays a no less important part than the carbon. the whole process of respiration appears most clearly developed, when we consider the state of a man, or other animal, totally deprived of food. the first effect of starvation is the disappearance of fat, and this fat cannot be traced either in the urine or in the scanty faeces. its carbon and hydrogen have been given off through the skin and lungs in the form of oxidised products; it is obvious that they have served to support respiration. in the case of a starving man, / oz. of oxygen enter the system daily, and are given out again in combination with a part of his body. currie mentions the case of an individual who was unable to swallow, and whose body lost lbs. in weight during a month; and, according to martell (trans. linn. soc., vol. xi. p. ), a fat pig, overwhelmed in a slip of earth, lived days without food, and was found to have diminished in weight, in that time, more than lbs. the whole history of hybernating animals, and the well-established facts of the periodical accumulation, in various animals, of fat, which, at other periods, entirely disappears, prove that the oxygen, in the respiratory process, consumes, without exception, all such substances as are capable of entering into combination with it. it combines with whatever is presented to it; and the deficiency of hydrogen is the only reason why carbonic acid is the chief product; for, at the temperature of the body, the affinity of hydrogen for oxygen far surpasses that of carbon for the same element. we know, in fact, that the graminivora expire a volume of carbonic acid equal to that of the oxygen inspired, while the carnivora, the only class of animals whose food contains fat, inspire more oxygen than is equal in volume to the carbonic acid expired. exact experiments have shown, that in many cases only half the volume of oxygen is expired in the form of carbonic acid. these observations cannot be gainsaid, and are far more convincing than those arbitrary and artificially produced phenomena, sometimes called experiments; experiments which, made as too often they are, without regard to the necessary and natural conditions, possess no value, and may be entirely dispensed with; especially when, as in the present case, nature affords the opportunity for observation, and when we make a rational use of that opportunity. in the progress of starvation, however, it is not only the fat which disappears, but also, by degrees all such of the solids as are capable of being dissolved. in the wasted bodies of those who have suffered starvation, the muscles are shrunk and unnaturally soft, and have lost their contractibility; all those parts of the body which were capable of entering into the state of motion have served to protect the remainder of the frame from the destructive influence of the atmosphere. towards the end, the particles of the brain begin to undergo the process of oxidation, and delirium, mania, and death close the scene; that is to say, all resistance to the oxidising power of the atmospheric oxygen ceases, and the chemical process of eremacausis, or decay, commences, in which every part of the body, the bones excepted, enters into combination with oxygen. the time which is required to cause death by starvation depends on the amount of fat in the body, on the degree of exercise, as in labour or exertion of any kind, on the temperature of the air, and finally, on the presence or absence of water. through the skin and lungs there escapes a certain quantity of water, and as the presence of water is essential to the continuance of the vital motions, its dissipation hastens death. cases have occurred, in which a full supply of water being accessible to the sufferer, death has not occurred till after the lapse of twenty days. in one case, life was sustained in this way for the period of sixty days. in all chronic diseases death is produced by the same cause, namely, the chemical action of the atmosphere. when those substances are wanting, whose function in the organism is to support the process of respiration, when the diseased organs are incapable of performing their proper function of producing these substances, when they have lost the power of transforming the food into that shape in which it may, by entering into combination with the oxygen of the air, protect the system from its influence, then, the substance of the organs themselves, the fat of the body, the substance of the muscles, the nerves, and the brain, are unavoidably consumed. the true cause of death in these cases is the respiratory process, that is, the action of the atmosphere. a deficiency of food, and a want of power to convert the food into a part of the organism, are both, equally, a want of resistance; and this is the negative cause of the cessation of the vital process. the flame is extinguished, because the oil is consumed; and it is the oxygen of the air which has consumed it. in many diseases substances are produced which are incapable of assimilation. by the mere deprivation of food, these substances are removed from the body without leaving a trace behind; their elements have entered into combination with the oxygen of the air. from the first moment that the function of the lungs or of the skin is interrupted or disturbed, compounds, rich in carbon, appear in the urine, which acquires a brown colour. over the whole surface of the body oxygen is absorbed, and combines with all the substances which offer no resistance to it. in those parts of the body where the access of oxygen is impeded; for example, in the arm-pits, or in the soles of the feet, peculiar compounds are given out, recognisable by their appearance, or by their odour. these compounds contain much carbon. respiration is the falling weight--the bent spring, which keeps the clock in motion; the inspirations and expirations are the strokes of the pendulum which regulate it. in our ordinary time-pieces, we know with mathematical accuracy the effect produced on their rate of going, by changes in the length of the pendulum, or in the external temperature. few, however, have a clear conception of the influence of air and temperature on the health of the human body; and yet the research into the conditions necessary to keep it in the normal state is not more difficult than in the case of a clock. letter viii my dear sir, having attempted in my last letter to explain to you the simple and admirable office subserved by the oxygen of the atmosphere in its combination with carbon in the animal body, i will now proceed to present you with some remarks upon those materials which sustain its mechanisms in motion, and keep up their various functions,--namely, the aliments. if the increase in mass in an animal body, the development and reproduction of its organs depend upon the blood, then those substances only which are capable of being converted into blood can be properly regarded as nourishment. in order then to ascertain what parts of our food are nutritious, we must compare the composition of the blood with the composition of the various articles taken as food. two substances require especial consideration as the chief ingredients of the blood; one of these separates immediately from the blood when it is withdrawn from the circulation. it is well known that in this case blood coagulates, and separates into a yellowish liquid, the serum of the blood, and a gelatinous mass, which adheres to a rod or stick in soft, elastic fibres, when coagulating blood is briskly stirred. this is the fibrine of the blood, which is identical in all its properties with muscular fibre, when the latter is purified from all foreign matters. the second principal ingredient of the blood is contained in the serum, and gives to this liquid all the properties of the white of eggs, with which it is indeed identical. when heated, it coagulates into a white elastic mass, and the coagulating substance is called albumen. fibrine and albumen, the chief ingredients of blood, contain, in all, seven chemical elements, among which nitrogen, phosphorus, and sulphur are found. they contain also the earth of bones. the serum retains in solution sea salt and other salts of potash and soda, in which the acids are carbonic, phosphoric, and sulphuric acids. the globules of the blood contain fibrine and albumen, along with a red colouring matter, in which iron is a constant element. besides these, the blood contains certain fatty bodies in small quantity, which differ from ordinary fats in several of their properties. chemical analysis has led to the remarkable result, that fibrine and albumen contain the same organic elements united in the same proportion,--i.e., that they are isomeric, their chemical composition--the proportion of their ultimate elements--being identical. but the difference of their external properties shows that the particles of which they are composed are arranged in a different order. (see letter v). this conclusion has lately been beautifully confirmed by a distinguished physiologist (denis), who has succeeded in converting fibrine into albumen, that is, in giving it the solubility, and coagulability by heat, which characterise the white of egg. fibrine and albumen, besides having the same composition, agree also in this, that both dissolve in concentrated muriatic acid, yielding a solution of an intense purple colour. this solution, whether made with fibrine or albumen, has the very same re-actions with all substances yet tried. both albumen and fibrine, in the process of nutrition, are capable of being converted into muscular fibre, and muscular fibre is capable of being reconverted into blood. these facts have long been established by physiologists, and chemistry has merely proved that these metamorphoses can be accomplished under the influence of a certain force, without the aid of a third substance, or of its elements, and without the addition of any foreign element, or the separation of any element previously present in these substances. if we now compare the composition of all organised parts with that of fibrine and albumen, the following relations present themselves:-- all parts of the animal body which have a decided shape, which form parts of organs, contain nitrogen. no part of an organ which possesses motion and life is destitute of nitrogen; all of them contain likewise carbon and the elements of water; the latter, however, in no case in the proportion to form water. the chief ingredients of the blood contain nearly per cent. of nitrogen, and from numerous analyses it appears that no part of an organ contains less than per cent. of nitrogen. the most convincing experiments and observations have proved that the animal body is absolutely incapable of producing an elementary body, such as carbon or nitrogen, out of substances which do not contain it; and it obviously follows, that all kinds of food fit for the production either of blood, or of cellular tissue, membranes, skin, hair, muscular fibre, &c., must contain a certain amount of nitrogen, because that element is essential to the composition of the above-named organs; because the organs cannot create it from the other elements presented to them; and, finally, because no nitrogen is absorbed from the atmosphere in the vital process. the substance of the brain and nerves contains a large quantity of albumen, and, in addition to this, two peculiar fatty acids, distinguished from other fats by containing phosphorus (phosphoric acid?). one of these contains nitrogen (fremy). finally, water and common fat are those ingredients of the body which are destitute of nitrogen. both are amorphous or unorganised, and only so far take part in the vital process as that their presence is required for the due performance of the vital functions. the inorganic constituents of the body are, iron, lime, magnesia, common salt, and the alkalies. the nutritive process is seen in its simplest form in carnivorous animals. this class of animals lives on the blood and flesh of the graminivora; but this blood and flesh are, in all their properties, identical with their own. neither chemical nor physiological differences can be discovered. the nutriment of carnivorous animals is derived originally from blood; in their stomach it becomes dissolved, and capable of reaching all other parts of the body; in its passage it is again converted into blood, and from this blood are reproduced all those parts of their organisation which have undergone change or metamorphosis. with the exception of hoofs, hair, feathers, and the earth of bones, every part of the food of carnivorous animals is capable of assimilation. in a chemical sense, therefore, it may be said that a carnivorous animal, in supporting the vital process, consumes itself. that which serves for its nutrition is identical with those parts of its organisation which are to be renewed. the process of nutrition in graminivorous animals appears at first sight altogether different. their digestive organs are less simple, and their food consists of vegetables, the great mass of which contains but little nitrogen. from what substances, it may be asked, is the blood formed, by means of which of their organs are developed? this question may be answered with certainty. chemical researches have shown, that all such parts of vegetables as can afford nutriment to animals contain certain constituents which are rich in nitrogen; and the most ordinary experience proves that animals require for their support and nutrition less of these parts of plants in proportion as they abound in the nitrogenised constituents. animals cannot be fed on matters destitute of these nitrogenised constituents. these important products of vegetation are especially abundant in the seeds of the different kinds of grain, and of peas, beans, and lentils; in the roots and the juices of what are commonly called vegetables. they exist, however, in all plants, without exception, and in every part of plants in larger or smaller quantity. these nitrogenised forms of nutriment in the vegetable kingdom may be reduced to three substances, which are easily distinguished by their external characters. two of them are soluble in water, the third is insoluble. when the newly-expressed juices of vegetables are allowed to stand, a separation takes place in a few minutes. a gelatinous precipitate, commonly of a green tinge, is deposited, and this, when acted on by liquids which remove the colouring matter, leaves a grayish white substance, well known to druggists as the deposite from vegetable juices. this is one of the nitrogenised compounds which serves for the nutrition of animals, and has been named vegetable fibrine. the juice of grapes is especially rich in this constituent, but it is most abundant in the seeds of wheat, and of the cerealia generally. it may be obtained from wheat flour by a mechanical operation, and in a state of tolerable purity; it is then called gluten, but the glutinous property belongs, not to vegetable fibrine, but to a foreign substance, present in small quantity, which is not found in the other cerealia. the method by which it is obtained sufficiently proves that it is insoluble in water; although we cannot doubt that it was originally dissolved in the vegetable juice, from which it afterwards separated, exactly as fibrine does from blood. the second nitrogenised compound remains dissolved in the juice after the separation of the fibrine. it does not separate from the juice at the ordinary temperature, but is instantly coagulated when the liquid containing it is heated to the boiling point. when the clarified juice of nutritious vegetables, such as cauliflower, asparagus, mangelwurzel, or turnips, is made to boil, a coagulum is formed, which it is absolutely impossible to distinguish from the substance which separates as a coagulum, when the serum of blood, or the white of an egg, diluted with water, are heated to the boiling point. this is vegetable albumen. it is found in the greatest abundance in certain seeds, in nuts, almonds, and others, in which the starch of the gramineae is replaced by oil. the third nitrogenised constituent of the vegetable food of animals is vegetable caseine. it is chiefly found in the seeds of peas, beans, lentils, and similar leguminous seeds. like vegetable albumen, it is soluble in water, but differs from it in this, that its solution is not coagulated by heat. when the solution is heated or evaporated, a skin forms on its surface, and the addition of an acid causes a coagulum, just as in animal milk. these three nitrogenised compounds, vegetable fibrine, albumen, and caseine, are the true nitrogenised constituents of the food of graminivorous animals; all other nitrogenised compounds occurring in plants, are either rejected by animals, as in the case of the characteristic principles of poisonous and medicinal plants, or else they occur in the food in such very small proportion, that they cannot possibly contribute to the increase of mass in the animal body. the chemical analysis of these three substances has led to the very interesting result that they contain the same organic elements, united in the same proportion by weight; and, what is still more remarkable, that they are identical in composition with the chief constituents of blood, animal fibrine, and albumen. they all three dissolve in concentrated muriatic acid with the same deep purple colour, and even in their physical characters, animal fibrine and albumen are in no respect different from vegetable fibrine and albumen. it is especially to be noticed, that by the phrase, identity of composition, we do not here intend mere similarity, but that even in regard to the presence and relative amount of sulphur, phosphorus, and phosphate of lime, no difference can be observed. how beautifully and admirably simple, with the aid of these discoveries, appears the process of nutrition in animals, the formation of their organs, in which vitality chiefly resides! those vegetable principles, which in animals are used to form blood, contain the chief constituents of blood, fibrine and albumen, ready formed, as far as regards their composition. all plants, besides, contain a certain quantity of iron, which reappears in the colouring matter of the blood. vegetable fibrine and animal fibrine, vegetable albumen and animal albumen, hardly differ, even in form; if these principles be wanting in the food, the nutrition of the animal is arrested; and when they are present, the graminivorous animal obtains in its food the very same principles on the presence of which the nutrition of the carnivora entirely depends. vegetables produce in their organism the blood of all animals, for the carnivora, in consuming the blood and flesh of the graminivora, consume, strictly speaking, only the vegetable principles which have served for the nutrition of the latter. vegetable fibrine and albumen take the form in the stomach of the graminivorous animal as animal fibrine and albumen do in that of the carnivorous animal. from what has been said, it follows that the development of the animal organism and its growth are dependent on the reception of certain principles identical with the chief constituents of blood. in this sense we may say that the animal organism gives to the blood only its form; that it is incapable of creating blood out of other substances which do not already contain the chief constituents of that fluid. we cannot, indeed, maintain that the animal organism has no power to form other compounds, for we know that it is capable of producing an extensive series of compounds, differing in composition from the chief constituents of blood; but these last, which form the starting-point of the series, it cannot produce. the animal organism is a higher kind of vegetable, the development of which begins with those substances with the production of which the life of an ordinary vegetable ends. as soon as the latter has borne seed, it dies, or a period of its life comes to a termination. in that endless series of compounds, which begins with carbonic acid, ammonia, and water, the sources of the nutrition of vegetables, and includes the most complex constituents of the animal brain, there is no blank, no interruption. the first substance capable of affording nutriment to animals is the last product of the creative energy of vegetables. the substance of cellular tissue and of membranes, of the brain and nerves, these the vegetable cannot produce. the seemingly miraculous in the productive agency of vegetables disappears in a great degree, when we reflect that the production of the constituents of blood cannot appear more surprising than the occurrence of the fat of beef and mutton in cocoa beans, of human fat in olive-oil, of the principal ingredient of butter in palm-oil, and of horse fat and train-oil in certain oily seeds. letter ix my dear sir, the facts detailed in my last letter will satisfy you as to the manner in which the increase of mass in an animal, that is, its growth, is accomplished; we have still to consider a most important question, namely, the function performed in the animal system by substances destitute of nitrogen; such as sugar, starch, gum, pectine, &c. the most extensive class of animals, the graminivora, cannot live without these substances; their food must contain a certain amount of one or more of them, and if these compounds are not supplied, death quickly ensues. this important inquiry extends also to the constituents of the food of carnivorous animals in the earliest periods of life; for this food also contains substances, which are not necessary for their support in the adult state. the nutrition of the young of carnivora is obviously accomplished by means similar to those by which the graminivora are nourished; their development is dependent on the supply of a fluid, which the body of the mother secretes in the shape of milk. milk contains only one nitrogenised constituent, known under the name of caseine; besides this, its chief ingredients are butter (fat), and sugar of milk. the blood of the young animal, its muscular fibre, cellular tissue, nervous matter, and bones, must have derived their origin from the nitrogenised constituent of milk--the caseine; for butter and sugar of milk contain no nitrogen. now, the analysis of caseine has led to the result, which, after the details i have given, can hardly excite your surprise, that this substance also is identical in composition with the chief constituents of blood, fibrine and albumen. nay more--a comparison of its properties with those of vegetable caseine has shown--that these two substances are identical in all their properties; insomuch, that certain plants, such as peas, beans, and lentils, are capable of producing the same substance which is formed from the blood of the mother, and employed in yielding the blood of the young animal. the young animal, therefore, receives in the form of caseine,--which is distinguished from fibrine and albumen by its great solubility, and by not coagulating when heated,--the chief constituent of the mother's blood. to convert caseine into blood no foreign substance is required, and in the conversion of the mother's blood into caseine, no elements of the constituents of the blood have been separated. when chemically examined, caseine is found to contain a much larger proportion of the earth of bones than blood does, and that in a very soluble form, capable of reaching every part of the body. thus, even in the earliest period of its life, the development of the organs, in which vitality resides, is, in the carnivorous animal, dependent on the supply of a substance, identical in organic composition with the chief constituents of its blood. what, then, is the use of the butter and the sugar of milk? how does it happen that these substances are indispensable to life? butter and sugar of milk contain no fixed bases, no soda nor potash. sugar of milk has a composition closely allied to that of the other kinds of sugar, of starch, and of gum; all of them contain carbon and the elements of water, the latter precisely in the proportion to form water. there is added, therefore, by means of these compounds, to the nitrogenised constituents of food, a certain amount of carbon; or, as in the case of butter, of carbon and hydrogen; that is, an excess of elements, which cannot possibly be employed in the production of blood, because the nitrogenised substances contained in the food already contain exactly the amount of carbon which is required for the production of fibrine and albumen. in an adult carnivorous animal, which neither gains nor loses weight, perceptibly, from day to day, its nourishment, the waste of organised tissue, and its consumption of oxygen, stand to each other in a well-defined and fixed relation. the carbon of the carbonic acid given off, with that of the urine; the nitrogen of the urine, and the hydrogen given off as ammonia and water; these elements, taken together, must be exactly equal in weight to the carbon, nitrogen, and hydrogen of the metamorphosed tissues, and since these last are exactly replaced by the food, to the carbon, nitrogen, and hydrogen of the food. were this not the case, the weight of the animal could not possibly remain unchanged. but, in the young of the carnivora, the weight does not remain unchanged; on the contrary, it increases from day to day by an appreciable quantity. this fact presupposes, that the assimilative process in the young animal is more energetic, more intense, than the process of transformation in the existing tissues. if both processes were equally active, the weight of the body could not increase; and were the waste by transformation greater, the weight of the body would decrease. now, the circulation in the young animal is not weaker, but, on the contrary, more rapid; the respirations are more frequent; and, for equal bulks, the consumption of oxygen must be greater rather than smaller in the young than in the adult animal. but, since the metamorphosis of organised parts goes on more slowly, there would ensue a deficiency of those substances, the carbon and hydrogen of which are adapted for combination with oxygen; because, in the carnivora, nature has destined the new compounds, produced by the metamorphosis of organised parts, to furnish the necessary resistance to the action of the oxygen, and to produce animal heat. what is wanting for these purposes an infinite wisdom has supplied to the young in its natural food. the carbon and hydrogen of butter, and the carbon of the sugar of milk, no part of either of which can yield blood, fibrine, or albumen, are destined for the support of the respiratory process, at an age when a greater resistance is opposed to the metamorphosis of existing organisms; or, in other words, to the production of compounds, which, in the adult state, are produced in quantity amply sufficient for the purpose of respiration. the young animal receives the constituents of its blood in the caseine of the milk. a metamorphosis of existing organs goes on, for bile and urine are secreted; the materials of the metamorphosed parts are given off in the form of urine, of carbonic acid, and of water; but the butter and sugar of milk also disappear; they cannot be detected in the faeces. the butter and sugar of milk are given out in the form of carbonic acid and water, and their conversion into oxidised products furnishes the clearest proof that far more oxygen is absorbed than is required to convert the carbon and hydrogen of the metamorphosed tissues into carbonic acid and water. the change and metamorphosis of organised tissues going on in the vital process in the young animal, consequently yield, in a given time, much less carbon and hydrogen in the form adapted for the respiratory process than correspond to the oxygen taken up in the lungs. the substance of its organised parts would undergo a more rapid consumption, and would necessarily yield to the action of the oxygen, were not the deficiency of carbon and hydrogen supplied from another source. the continued increase of mass, or growth, and the free and unimpeded development of the organs in the young animal, are dependent on the presence of foreign substances, which, in the nutritive process, have no other function than to protect the newly-formed organs from the action of the oxygen. the elements of these substances unite with the oxygen; the organs themselves could not do so without being consumed; that is, growth, or increase of mass in the body,--the consumption of oxygen remaining the same,--would be utterly impossible. the preceding considerations leave no doubt as to the purpose for which nature has added to the food of the young of carnivorous mammalia substances devoid of nitrogen, which their organism cannot employ for nutrition, strictly so called, that is, for the production of blood; substances which may be entirely dispensed with in their nourishment in the adult state. in the young of carnivorous birds, the want of all motion is an obvious cause of diminished waste in the organised parts; hence, milk is not provided for them. the nutritive process in the carnivora thus presents itself under two distinct forms; one of which we again meet with in the graminivora. in graminivorous animals, we observe, that during their whole life, their existence depends on a supply of substances having a composition identical with that of sugar of milk, or closely resembling it. everything that they consume as food contains a certain quantity of starch, gum, or sugar, mixed with other matters. the function performed in the vital process of the graminivora by these substances is indicated in a very clear and convincing manner, when we take into consideration the very small relative amount of the carbon which these animals consume in the nitrogenised constituents of their food, which bears no proportion whatever to the oxygen absorbed through the skin and lungs. a horse, for example, can be kept in perfectly good condition, if he obtain as food lbs. of hay and / lbs. of oats daily. if we now calculate the whole amount of nitrogen in these matters, as ascertained by analysis ( / per cent. in the hay, . per cent. in the oats), in the form of blood, that is, as fibrine and albumen, with the due proportion of water in blood ( per cent.), the horse receives daily no more than / oz. of nitrogen, corresponding to about lbs. of blood. but along with this nitrogen, that is, combined with it in the form of fibrine or albumen, the animal receives only about / oz. of carbon. without going further into the calculation, it will readily be admitted, that the volume of air inspired and expired by a horse, the quantity of oxygen consumed, and, as a necessary consequence, the amount of carbonic acid given out by the animal, are much greater than in the respiratory process in man. but an adult man consumes daily abut oz. of carbon, and the determination of boussingault, according to which a horse expires oz. daily, cannot be very far from the truth. in the nitrogenised constituents of his food, therefore, the horse receives rather less than the fifth part of the carbon which his organism requires for the support of the respiratory process; and we see that the wisdom of the creator has added to his food the four-fifths which are wanting, in various forms, as starch, sugar, &c. with which the animal must be supplied, or his organism will be destroyed by the action of the oxygen. it is obvious, that in the system of the graminivora, whose food contains so small a portion, relatively, of the constituents of the blood, the process of metamorphosis in existing tissues, and consequently their restoration or reproduction, must go on far less rapidly than in the carnivora. were this not the case, a vegetation a thousand times more luxuriant than the actual one would not suffice for their nourishment. sugar, gum, and starch, would no longer be necessary to support life in these animals, because, in that case, the products of the waste, or metamorphosis of the organised tissues, would contain enough carbon to support the respiratory process. letter x my dear sir, let me now apply the principles announced in the preceding letters to the circumstances of our own species. man, when confined to animal food, requires for his support and nourishment extensive sources of food, even more widely extended than the lion and tiger, because, when he has the opportunity, he kills without eating. a nation of hunters, on a limited space, is utterly incapable of increasing its numbers beyond a certain point, which is soon attained. the carbon necessary for respiration must be obtained from the animals, of which only a limited number can live on the space supposed. these animals collect from plants the constituents of their organs and of their blood, and yield them, in turn, to the savages who live by the chase alone. they, again, receive this food unaccompanied by those compounds, destitute of nitrogen, which, during the life of the animals, served to support the respiratory process. in such men, confined to an animal diet, it is the carbon of the flesh and of the blood which must take the place of starch and sugar. but lbs. of flesh contain no more carbon than lbs. of starch, and while the savage with one animal and an equal weight of starch should maintain life and health for a certain number of days, he would be compelled, if confined to flesh alone, in order to procure the carbon necessary for respiration, during the same time, to consume five such animals. it is easy to see, from these considerations, how close the connection is between agriculture and the multiplication of the human species. the cultivation of our crops has ultimately no other object than the production of a maximum of those substances which are adapted for assimilation and respiration, in the smallest possible space. grain and other nutritious vegetables yield us, not only in starch, sugar, and gum, the carbon which protects our organs from the action of oxygen, and produces in the organism the heat which is essential to life, but also in the form of vegetable fibrine, albumen, and caseine, our blood, from which the other parts of our body are developed. man, when confined to animal food, respires, like the carnivora, at the expense of the matters produced by the metamorphosis of organised tissues; and, just as the lion, tiger, hyaena, in the cages of a menagerie, are compelled to accelerate the waste of the organised tissues by incessant motion, in order to furnish the matter necessary for respiration, so, the savage, for the very same object, is forced to make the most laborious exertions, and go through a vast amount of muscular exercise. he is compelled to consume force merely in order to supply matter for respiration. cultivation is the economy of force. science teaches us the simplest means of obtaining the greatest effect with the smallest expenditure of power, and with given means to produce a maximum of force. the unprofitable exertion of power, the waste of force in agriculture, in other branches of industry, in science, or in social economy, is characteristic of the savage state, or of the want of knowledge. in accordance with what i have already stated, you will perceive that the substances of which the food of man is composed may be divided into two classes; into nitrogenised and non-nitrogenised. the former are capable of conversion into blood; the latter are incapable of this transformation. out of those substances which are adapted to the formation of blood, are formed all the organised tissues. the other class of substances, in the normal state of health, serve to support the process of respiration. the former may be called the plastic elements of nutrition; the latter, elements of respiration. among the former we reckon-- vegetable fibrine. vegetable albumen. vegetable caseine. animal flesh. animal blood. among the elements of respiration in our food, are-- fat. pectine. starch. bassorine. gum. wine. cane sugar. beer. grape sugar. spirits. sugar of milk. the most recent and exact researches have established as a universal fact, to which nothing yet known is opposed, that the nitrogenised constituents of vegetable food have a composition identical with that of the constituents of the blood. no nitrogenised compound, the composition of which differs from that of fibrine, albumen, and caseine, is capable of supporting the vital process in animals. the animal organism unquestionably possesses the power of forming, from the constituents of its blood, the substance of its membranes and cellular tissue, of the nerves and brain, and of the organic part of cartilages and bones. but the blood must be supplied to it perfect in everything but its form--that is, in its chemical composition. if this be not done, a period is rapidly put to the formation of blood, and consequently to life. this consideration enables us easily to explain how it happens that the tissues yielding gelatine or chondrine, as, for example, the gelatine of skin or of bones, are not adapted for the support of the vital process; for their composition is different from that of fibrine or albumen. it is obvious that this means nothing more than that those parts of the animal organism which form the blood do not possess the power of effecting a transformation in the arrangement of the elements of gelatine, or of those tissues which contain it. the gelatinous tissues, the gelatine of the bones, the membranes, the cells and the skin suffer, in the animal body, under the influence of oxygen and moisture, a progressive alteration; a part of these tissues is separated, and must be restored from the blood; but this alteration and restoration are obviously confined within very narrow limits. while, in the body of a starving or sick individual, the fat disappears and the muscular tissue takes once more the form of blood, we find that the tendons and membranes retain their natural condition, and the limbs of the dead body their connections, which depend on the gelatinous tissues. on the other hand, we see that the gelatine of bones devoured by a dog entirely disappears, while only the bone earth is found in his excrements. the same is true of man, when fed on food rich in gelatine, as, for example, strong soup. the gelatine is not to be found either in the urine or in the faeces, and consequently must have undergone a change, and must have served some purpose in the animal economy. it is clear that the gelatine must be expelled from the body in a form different from that in which it was introduced as food. when we consider the transformation of the albumen of the blood into a part of an organ composed of fibrine, the identity in composition of the two substances renders the change easily conceivable. indeed we find the change of a dissolved substance into an insoluble organ of vitality, chemically speaking, natural and easily explained, on account of this very identity of composition. hence the opinion is not unworthy of a closer investigation, that gelatine, when taken in the dissolved state, is again converted, in the body, into cellular tissue, membrane and cartilage; that it may serve for the reproduction of such parts of these tissues as have been wasted, and for their growth. and when the powers of nutrition in the whole body are affected by a change of the health, then, even should the power of forming blood remain the same, the organic force by which the constituents of the blood are transformed into cellular tissue and membranes must necessarily be enfeebled by sickness. in the sick man, the intensity of the vital force, its power to produce metamorphoses, must be diminished as well in the stomach as in all other parts of the body. in this condition, the uniform experience of practical physicians shows that gelatinous matters in a dissolved state exercise a most decided influence on the state of the health. given in a form adapted for assimilation, they serve to husband the vital force, just as may be done, in the case of the stomach, by due preparation of the food in general. brittleness in the bones of graminivorous animals is clearly owing to a weakness in those parts of the organism whose function it is to convert the constituents of the blood into cellular tissue and membrane; and if we can trust to the reports of physicians who have resided in the east, the turkish women, in their diet of rice, and in the frequent use of enemata of strong soup, have united the conditions necessary for the formation both of cellular tissue and of fat. letter xi my dear sir, in the immense, yet limited expanse of the ocean, the animal and vegetable kingdoms are mutually dependent upon, and successive to each other. the animals obtain their constituent elements from the plants, and restore them to the water in their original form, when they again serve as nourishment to a new generation of plants. the oxygen which marine animals withdraw in their respiration from the air, dissolved in sea water, is returned to the water by the vital processes of sea plants; that air is richer in oxygen than atmospheric air, containing to per cent. oxygen, also, combines with the products of the putrefaction of dead animal bodies, changes their carbon into carbonic acid, their hydrogen into water, and their nitrogen assumes again the form of ammonia. thus we observe in the ocean a circulation takes place without the addition or subtraction of any element, unlimited in duration, although limited in extent, inasmuch as in a confined space the nourishment of plants exists in a limited quantity. we well know that marine plants cannot derive a supply of humus for their nourishment through their roots. look at the great sea-tang, the fucus giganteus: this plant, according to cook, reaches a height of feet, and a single specimen, with its immense ramifications, nourishes thousands of marine animals, yet its root is a small body, no larger than the fist. what nourishment can this draw from a naked rock, upon the surface of which there is no perceptible change? it is quite obvious that these plants require only a hold,--a fastening to prevent a change of place,--as a counterpoise to their specific gravity, which is less than that of the medium in which they float. that medium provides the necessary nourishment, and presents it to the surface of every part of the plant. sea-water contains not only carbonic acid and ammonia, but the alkaline and earthy phosphates and carbonates required by these plants for their growth, and which we always find as constant constituents of their ashes. all experience demonstrates that the conditions of the existence of marine plants are the same which are essential to terrestrial plants. but the latter do not live like sea-plants, in a medium which contains all their elements and surrounds with appropriate nourishment every part of their organs; on the contrary, they require two media, of which one, namely the soil, contains those essential elements which are absent from the medium surrounding them, i.e. the atmosphere. is it possible that we could ever be in doubt respecting the office which the soil and its component parts subserve in the existence and growth of vegetables?--that there should have been a time when the mineral elements of plants were not regarded as absolutely essential to their vitality? has not the same circulation been observed on the surface of the earth which we have just contemplated in the ocean,--the same incessant change, disturbance and restitution of equilibrium? experience in agriculture shows that the production of vegetables on a given surface increases with the supply of certain matters, originally parts of the soil which had been taken up from it by plants--the excrements of man and animals. these are nothing more than matters derived from vegetable food, which in the vital processes of animals, or after their death, assume again the form under which they originally existed, as parts of the soil. now, we know that the atmosphere contains none of these substances, and therefore can replace none; and we know that their removal from a soil destroys its fertility, which may be restored and increased by a new supply. is it possible, after so many decisive investigations into the origin of the elements of animals and vegetables, the use of the alkalies, of lime and the phosphates, any doubt can exist as to the principles upon which a rational agriculture depends? can the art of agriculture be based upon anything but the restitution of a disturbed equilibrium? can it be imagined that any country, however rich and fertile, with a flourishing commerce, which for centuries exports its produce in the shape of grain and cattle, will maintain its fertility, if the same commerce does not restore, in some form of manure, those elements which have been removed from the soil, and which cannot be replaced by the atmosphere? must not the same fate await every such country which has actually befallen the once prolific soil of virginia, now in many parts no longer able to grow its former staple productions--wheat and tobacco? in the large towns of england the produce both of english and foreign agriculture is largely consumed; elements of the soil indispensable to plants do not return to the fields,--contrivances resulting from the manners and customs of english people, and peculiar to them, render it difficult, perhaps impossible, to collect the enormous quantity of the phosphates which are daily, as solid and liquid excrements, carried into the rivers. these phosphates, although present in the soil in the smallest quantity, are its most important mineral constituents. it was observed that many english fields exhausted in that manner immediately doubled their produce, as if by a miracle, when dressed with bone earth imported from the continent. but if the export of bones from germany is continued to the extent it has hitherto reached, our soil must be gradually exhausted, and the extent of our loss may be estimated, by considering that one pound of bones contains as much phosphoric acid as a hundred-weight of grain. the imperfect knowledge of nature and the properties and relations of matter possessed by the alchemists gave rise, in their time, to an opinion that metals as well as plants could be produced from a seed. the regular forms and ramifications seen in crystals, they imagined to be the leaves and branches of metal plants; and as they saw the seed of plants grow, producing root, stem and leaves, and again blossoms, fruit and seeds, apparently without receiving any supply of appropriate material, they deemed it worthy of zealous inquiry to discover the seed of gold, and the earth necessary for its development. if the metal seeds were once obtained, might they not entertain hopes of their growth? such ideas could only be entertained when nothing was known of the atmosphere, and its participation with the earth, in administering to the vital processes of plants and animals. modern chemistry indeed produces the elements of water, and, combining them, forms water anew; but it does not create those elements--it derives them from water; the new-formed artificial water has been water before. many of our farmers are like the alchemists of old,--they are searching for the miraculous seed,--the means, which, without any further supply of nourishment to a soil scarcely rich enough to be sprinkled with indigenous plants, shall produce crops of grain a hundred-fold. the experience of centuries, nay, of thousands of years, is insufficient to guard men against these fallacies; our only security from these and similar absurdities must be derived from a correct knowledge of scientific principles. in the first period of natural philosophy, organic life was supposed to be derived from water only; afterwards, it was admitted that certain elements derived from the air must be superadded to the water; but we now know that other elements must be supplied by the earth, if plants are to thrive and multiply. the amount of materials contained in the atmosphere, suited to the nourishment of plants, is limited; but it must be abundantly sufficient to cover the whole surface of the earth with a rich vegetation. under the tropics, and in those parts of our globe where the most genial conditions of fertility exist,--a suitable soil, a moist atmosphere, and a high temperature,--vegetation is scarcely limited by space; and, where the soil is wanting, it is gradually supplied by the decaying leaves, bark and branches of plants. it is obvious there is no deficiency of atmospheric nourishment for plants in those regions, nor are these wanting in our own cultivated fields: all that plants require for their development is conveyed to them by the incessant motions of the atmosphere. the air between the tropics contains no more than that of the arctic zones; and yet how different is the amount of produce of an equal surface of land in the two situations! this is easily explicable. all the plants of tropical climates, the oil and wax palms, the sugar cane, &c., contain only a small quantity of the elements of the blood necessary to the nutrition of animals, as compared with our cultivated plants. the tubers of the potato in chili, its native country, where the plant resembles a shrub, if collected from an acre of land, would scarcely suffice to maintain an irish family for a single day (darwin). the result of cultivation in those plants which serve as food, is to produce in them those constituents of the blood. in the absence of the elements essential to these in the soil, starch, sugar and woody fibre, are perhaps formed; but no vegetable fibrine, albumen, or caseine. if we intend to produce on a given surface of soil more of these latter matters than the plants can obtain from the atmosphere or receive from the soil of the same surface in its uncultivated and normal state, we must create an artificial atmosphere, and add the needed elements to the soil. the nourishment which must be supplied in a given time to different plants, in order to admit a free and unimpeded growth, is very unequal. on pure sand, on calcareous soil, on naked rocks, only a few genera of plants prosper, and these are, for the most part, perennial plants. they require, for their slow growth, only such minute quantities of mineral substances as the soil can furnish, which may be totally barren for other species. annual, and especially summer plants, grow and attain their perfection in a comparatively short time; they therefore do not prosper on a soil which is poor in those mineral substances necessary to their development. to attain a maximum in height in the short period of their existence, the nourishment contained in the atmosphere is not sufficient. if the end of cultivation is to be obtained, we must create in the soil an artificial atmosphere of carbonic acid and ammonia; and this surplus of nourishment, which the leaves cannot appropriate from the air, must be taken up by the corresponding organs, i.e. the roots, from the soil. but the ammonia, together with the carbonic acid, are alone insufficient to become part of a plant destined to the nourishment of animals. in the absence of the alkalies, the phosphates and other earthy salts, no vegetable fibrine, no vegetable caseine, can be formed. the phosphoric acid of the phosphate of lime, indispensable to the cerealia and other vegetables in the formation of their seeds, is separated as an excrement, in great quantities, by the rind and barks of ligneous plants. how different are the evergreen plants, the cacti, the mosses, the ferns, and the pines, from our annual grasses, the cerealia and leguminous vegetables! the former, at every time of the day during winter and summer, obtain carbon through their leaves by absorbing carbonic acid which is not furnished by the barren soil on which they grow; water is also absorbed and retained by their coriaceous or fleshy leaves with great force. they lose very little by evaporation, compared with other plants. on the other hand, how very small is the quantity of mineral substances which they withdraw from the soil during their almost constant growth in one year, in comparison with the quantity which one crop of wheat of an equal weight receives in three months! it is by means of moisture that plants receive the necessary alkalies and salts from the soil. in dry summers a phenomenon is observed, which, when the importance of mineral elements to the life of a plant was unknown, could not be explained. the leaves of plants first developed and perfected, and therefore nearer the surface of the soil, shrivel up and become yellow, lose their vitality, and fall off while the plant is in an active state of growth, without any visible cause. this phenomenon is not seen in moist years, nor in evergreen plants, and but rarely in plants which have long and deep roots, nor is it seen in perennials in autumn and winter. the cause of this premature decay is now obvious. the perfectly-developed leaves absorb continually carbonic acid and ammonia from the atmosphere, which are converted into elements of new leaves, buds, and shoots; but this metamorphosis cannot be effected without the aid of the alkalies, and other mineral substances. if the soil is moist, the latter are continually supplied to an adequate amount, and the plant retains its lively green colour; but if this supply ceases from a want of moisture to dissolve the mineral elements, a separation takes place in the plant itself. the mineral constituents of the juice are withdrawn from the leaves already formed, and are used for the formation of the young shoots; and as soon as the seeds are developed, the vitality of the leaves completely ceases. these withered leaves contain only minute traces of soluble salts, while the buds and shoots are very rich in them. on the other hand, it has been observed, that where a soil is too highly impregnated with soluble saline materials, these are separated upon the surface of the leaves. this happens to culinary vegetables especially, whose leaves become covered with a white crust. in consequence of these exudations the plant sickens, its organic activity decreases, its growth is disturbed; and if this state continues long, the plant dies. this is most frequently seen in foliaceous plants, the large surfaces of which evaporate considerable quantities of water. carrots, pumpkins, peas, &c., are frequently thus diseased, when, after dry weather, the plant being near its full growth, the soil is moistened by short showers, followed again by dry weather. the rapid evaporation carries off the water absorbed by the root, and this leaves the salts in the plant in a far greater quantity than it can assimilate. these salts effloresce upon the surface of the leaves, and if they are herbaceous and juicy, produce an effect upon them as if they had been watered with a solution containing a greater quantity of salts than their organism can bear. of two plants of the same species, this disease befalls that which is nearest its perfection; if one should have been planted later, or be more backward in its development, the same external cause which destroys the one will contribute to the growth of the other. letter xii my dear sir, having now occupied several letters with the attempt to unravel, by means of chemistry, some of the most curious functions of the animal body, and, as i hope, made clear to you the distinctions between the two kinds of constituent elements in food, and the purposes they severally subserve in sustaining life, let me now direct your attention to a scarcely less interesting and equally important subject--the means of obtaining from a given surface of the earth the largest amount of produce adapted to the food of man and animals. agriculture is both a science and an art. the knowledge of all the conditions of the life of vegetables, the origin of their elements, and the sources of their nourishment, forms its scientific basis. from this knowledge we derive certain rules for the exercise of the art, the principles upon which the mechanical operations of farming depend, the usefulness or necessity of these for preparing the soil to support the growth of plants, and for removing every obnoxious influence. no experience, drawn from the exercise of the art, can be opposed to true scientific principles, because the latter should include all the results of practical operations, and are in some instances solely derived therefrom. theory must correspond with experience, because it is nothing more than the reduction of a series of phenomena to their last causes. a field in which we cultivate the same plant for several successive years becomes barren for that plant in a period varying with the nature of the soil: in one field it will be in three, in another in seven, in a third in twenty, in a fourth in a hundred years. one field bears wheat, and no peas; another beans or turnips, but no tobacco; a third gives a plentiful crop of turnips, but will not bear clover. what is the reason that a field loses its fertility for one plant, the same which at first flourished there? what is the reason one kind of plant succeeds in a field where another fails? these questions belong to science. what means are necessary to preserve to a field its fertility for one and the same plant?--what to render one field fertile for two, for three, for all plants? these last questions are put by art, but they cannot be answered by art. if a farmer, without the guidance of just scientific principles, is trying experiments to render a field fertile for a plant which it otherwise will not bear, his prospect of success is very small. thousands of farmers try such experiments in various directions, the result of which is a mass of practical experience forming a method of cultivation which accomplishes the desired end for certain places; but the same method frequently does not succeed, it indeed ceases to be applicable to a second or third place in the immediate neighbourhood. how large a capital, and how much power, are wasted in these experiments! very different, and far more secure, is the path indicated by science; it exposes us to no danger of failing, but, on the contrary, it furnishes us with every guarantee of success. if the cause of failure--of barrenness in the soil for one or two plants--has been discovered, means to remedy it may readily be found. the most exact observations prove that the method of cultivation must vary with the geognostical condition of the subsoil. in basalt, graywacke, porphyry, sandstone, limestone, &c., are certain elements indispensable to the growth of plants, and the presence of which renders them fertile. this fully explains the difference in the necessary methods of culture for different places; since it is obvious that the essential elements of the soil must vary with the varieties of composition of the rocks, from the disintegration of which they originated. wheat, clover, turnips, for example, each require certain elements from the soil; they will not flourish where the appropriate elements are absent. science teaches us what elements are essential to every species of plants by an analysis of their ashes. if therefore a soil is found wanting in any of those elements, we discover at once the cause of its barrenness, and its removal may now be readily accomplished. the empiric attributes all his success to the mechanical operations of agriculture; he experiences and recognises their value, without inquiring what are the causes of their utility, their mode of action: and yet this scientific knowledge is of the highest importance for regulating the application of power and the expenditure of capital,--for insuring its economical expenditure and the prevention of waste. can it be imagined that the mere passing of the ploughshare or the harrow through the soil--the mere contact of the iron--can impart fertility miraculously? nobody, perhaps, seriously entertains such an opinion. nevertheless, the modus operandi of these mechanical operations is by no means generally understood. the fact is quite certain, that careful ploughing exerts the most favourable influence: the surface is thus mechanically divided, changed, increased, and renovated; but the ploughing is only auxiliary to the end sought. in the effects of time, in what in agriculture are technically called fallows--the repose of the fields--we recognise by science certain chemical actions, which are continually exercised by the elements of the atmosphere upon the whole surface of our globe. by the action of its oxygen and its carbonic acid, aided by water, rain, changes of temperature, &c., certain elementary constituents of rocks, or of their ruins, which form the soil capable of cultivation, are rendered soluble in water, and consequently become separable from all their insoluble parts. these chemical actions, poetically denominates the "tooth of time," destroy all the works of man, and gradually reduce the hardest rocks to the condition of dust. by their influence the necessary elements of the soil become fitted for assimilation by plants; and it is precisely the end which is obtained by the mechanical operations of farming. they accelerate the decomposition of the soil, in order to provide a new generation of plants with the necessary elements in a condition favourable to their assimilation. it is obvious that the rapidity of the decomposition of a solid body must increase with the extension of its surface; the more points of contact we offer in a given time to the external chemical agent, the more rapid will be its action. the chemist, in order to prepare a mineral for analysis, to decompose it, or to increase the solubility of its elements, proceeds in the same way as the farmer deals with his fields--he spares no labour in order to reduce it to the finest powder; he separates the impalpable from the coarser parts by washing, and repeats his mechanical bruising and trituration, being assured his whole process will fail if he is inattentive to this essential and preliminary part of it. the influence which the increase of surface exercises upon the disintegration of rocks, and upon the chemical action of air and moisture, is strikingly illustrated upon a large scale in the operations pursued in the gold-mines of yaquil, in chili. these are described in a very interesting manner by darwin. the rock containing the gold ore is pounded by mills into the finest powder; this is subjected to washing, which separates the lighter particles from the metallic; the gold sinks to the bottom, while a stream of water carries away the lighter earthy parts into ponds, where it subsides to the bottom as mud. when this deposit has gradually filled up the pond, this mud is taken out and piled in heaps, and left exposed to the action of the atmosphere and moisture. the washing completely removes all the soluble part of the disintegrated rock; the insoluble part, moreover, cannot undergo any further change while it is covered with water, and so excluded from the influence of the atmosphere at the bottom of the pond. but being exposed at once to the air and moisture, a powerful chemical action takes place in the whole mass, which becomes indicated by an efflorescence of salts covering the whole surface of the heaps in considerable quantity. after being exposed for two or three years, the mud is again subjected to the same process of washing, and a considerable quantity of gold is obtained, this having been separated by the chemical process of decomposition in the mass. the exposure and washing of the same mud is repeated six or seven times, and at every washing it furnishes a new quantity of gold, although its amount diminishes every time. precisely similar is the chemical action which takes place in the soil of our fields; and we accelerate and increase it by the mechanical operations of our agriculture. by these we sever and extend the surface, and endeavour to make every atom of the soil accessible to the action of the carbonic acid and oxygen of the atmosphere. we thus produce a stock of soluble mineral substances, which serves as nourishment to a new generation of plants, materials which are indispensable to their growth and prosperity. letter xiii my dear sir, having in my last letter spoken of the general principles upon which the science and art of agriculture must be based, let me now direct your attention to some of those particulars between chemistry and agriculture, and demonstrate the impossibility of perfecting the important art of rearing food for man and animals, without a profound knowledge of our science. all plants cultivated as food require for their healthy sustenance the alkalies and alkaline earths, each in a certain proportion; and in addition to these, the cerealia do not succeed in a soil destitute of silica in a soluble condition. the combinations of this substance found as natural productions, namely, the silicates, differ greatly in the degree of facility with which they undergo decomposition, in consequence of the unequal resistance opposed by their integral parts to the dissolving power of the atmospheric agencies. thus the granite of corsica degenerates into a powder in a time which scarcely suffices to deprive the polished granite of heidelberg of its lustre. some soils abound in silicates so readily decomposable, that in every one or two years, as much silicate of potash becomes soluble and fitted for assimilation as is required by the leaves and straw of a crop of wheat. in hungary, extensive districts are not uncommon where wheat and tobacco have been grown alternately upon the same soil for centuries, the land never receiving back any of those mineral elements which were withdrawn in the grain and straw. on the other hand, there are fields in which the necessary amount of soluble silicate of potash for a single crop of wheat is not separated from the insoluble masses in the soil in less than two, three, or even more years. the term fallow, in agriculture, designates that period in which the soil, left to the influence of the atmosphere, becomes enriched with those soluble mineral constituents. fallow, however, does not generally imply an entire cessation of cultivation, but only an interval in the growth of the cerealia. that store of silicates and alkalies which is the principal condition of their success is obtained, if potatoes or turnips are grown upon the same fields in the intermediate periods, since these crops do not abstract a particle of silica, and therefore leave the field equally fertile for the following crop of wheat. the preceding remarks will render it obvious to you, that the mechanical working of the soil is the simplest and cheapest method of rendering the elements of nutrition contained in it accessible to plants. but it may be asked, are there not other means of decomposing the soil besides its mechanical subdivision?--are there not substances, which by their chemical operation will equally well or better render its constituents suitable for entering into vegetable organisms? yes: we certainly possess such substances, and one of them, namely, quick-lime, has been employed for the last century past in england for this purpose; and it would be difficult to find a substance better adapted to this service, as it is simple, and in almost all localities cheap and easily accessible. in order to obtain correct views respecting the effect of quick-lime upon the soil, let me remind you of the first process employed by the chemist when he is desirous of analysing a mineral, and for this purpose wishes to bring its elements into a soluble state. let the mineral to be examined be, for instance, feldspar; this substance, taken alone, even when reduced to the finest powder, requires for its solution to be treated with an acid for weeks or months; but if we first mix it with quick-lime, and expose the mixture to a moderately strong heat, the lime enters into chemical combination with certain elements of the feldspar, and its alkali (potass) is set free. and now the acid, even without heat, dissolves not only the lime, but also so much of the silica of the feldspar as to form a transparent jelly. the same effect which the lime in this process, with the aid of heat, exerts upon the feldspar, it produces when it is mixed with the alkaline argillaceous silicates, and they are for a long time kept together in a moist state. common potters' clay, or pipe-clay, diffused through water, and added to milk of lime, thickens immediately upon mixing; and if the mixture is kept for some months, and then treated with acid, the clay becomes gelatinous, which would not occur without the admixture with the lime. the lime, in combining with the elements of the clay, liquifies it; and, what is more remarkable, liberates the greater part of its alkalies. these interesting facts were first observed by fuchs, at munich: they have not only led to a more intimate knowledge of the nature and properties of the hydraulic cements, but, what is far more important, they explain the effects of caustic lime upon the soil, and guide the agriculturist in the application of an invaluable means of opening it, and setting free its alkalies--substances so important, nay, so indispensable to his crops. in the month of october the fields of yorkshire and oxfordshire look as it they were covered with snow. whole square miles are seen whitened over with quicklime, which during the moist winter months, exercises its beneficial influence upon the stiff, clayey soil, of those counties. according to the humus theory, quick-lime ought to exert the most noxious influence upon the soil, because all organic matters contained in it are destroyed by it, and rendered incapable of yielding their humus to a new vegetation. the facts are indeed directly contrary to this now abandoned theory: the fertility of the soil is increased by the lime. the cerealia require the alkalies and alkaline silicates, which the action of the lime renders fit for assimilation by the plants. if, in addition to these, there is any decaying organic matter present in the soil supplying carbonic acid, it may facilitate their development; but it is not essential to their growth. if we furnish the soil with ammonia, and the phosphates, which are indispensable to the cerealia, with the alkaline silicates, we have all the conditions necessary to ensure an abundant harvest. the atmosphere is an inexhaustible store of carbonic acid. a no less favourable influence than that of lime is exercised upon the soil of peaty land by the mere act of burning it: this greatly enhances its fertility. we have not long been acquainted with the remarkable change which the properties of clay undergo by burning. the observation was first made in the process of analysing the clay silicates. many of these, in their natural state, are not acted on by acids, but they become perfectly soluble if heated to redness before the application of the acid. this property belongs to potters' clay, pipe-clay, loam, and many different modifications of clay in soils. in their natural state they may be boiled in concentrated sulphuric acid, without sensible change; but if feebly burned, as is done with the pipe-clay in many alum manufactories, they dissolve in the acid with the greatest facility, the contained silica being separated like jelly in a soluble state. potters' clay belongs to the most sterile kinds of soil, and yet it contains within itself all the constituent elements essential to a most luxurious growth of plants; but their mere presence is insufficient to secure this end. the soil must be accessible to the atmosphere, to its oxygen, to its carbonic acid; these must penetrate it, in order to secure the conditions necessary to a happy and vigorous development of the roots. the elements present must be brought into that peculiar state of combination which will enable them to enter into plants. plastic clay is wanting in these properties; but they are imparted to it by a feeble calcination. at hardwicke court, near gloucester, i have seen a garden (mr. baker's) consisting of a stiff clay, which was perfectly sterile, become by mere burning extremely fertile. the operation was extended to a depth of three feet. this was an expensive process, certainly; but it was effectual. the great difference in the properties of burnt and unburnt clay is illustrated by what is seen in brick houses, built in moist situations. in the town of flanders, for instance, where most buildings are of brick, effloresences of salts cover the surfaces of the walls, like a white nap, within a few days after they are erected. if this saline incrustation is washed away by the rain, it soon re-appears; and this is even observed on walls which, like the gateway of lisle, have been erected for centuries. these saline incrustations consist of carbonates and sulphates, with alkaline bases; and it is well known these act an important part in vegetation. the influence of lime in their production is manifested by their appearing first at the place where the mortar and brick come into contact. it will now be obvious to you, that in a mixture of clay with lime, all the conditions exist for the solution of the silicated clay, and the solubility of the alkaline silicates. the lime gradually dissolving in water charged with carbonic acid, acts like milk of lime upon the clay. this explains also the favourable influence which marl (by which term all those varieties of clay rich in chalk are designated) exerts upon most kinds of soil. there are marly soils which surpass all others in fertility for all kinds of plants; but i believe marl in a burnt state must be far more effective, as well as other materials possessing a similar composition; as, for instance, those species of limestone which are adapted to the preparation of hydraulic cements,--for these carry to the soil not only the alkaline bases useful to plants, but also silica in a state capable of assimilation. the ashes of coals and lignite are also excellent means of ameliorating the soil, and they are used in many places for this purpose. the most suitable may be readily known by their property of forming a gelatinous mass when treated with acids, or by becoming, when mixed with cream of lime, like hydraulic cement,--solid and hard as stone. i have now, i trust, explained to your satisfaction, that the mechanical operations of agriculture--the application of lime and chalk to lands, and the burning of clay--depend upon one and the same scientific principle: they are means of accelerating the decomposition of the alkaline clay silicates, in order to provide plants, at the beginning of a new vegetation, with certain inorganic matters indispensable for their nutrition. letter xiv my dear sir, i treated, in my last letter, of the means of improving the condition of the soil for agricultural purposes by mechanical operations and mineral agents. i have now to speak of the uses and effects of animal exuviae, and vegetable matters or manures--properly so called. in order to understand the nature of these, and the peculiarity of their influence upon our fields, it is highly important to keep in mind the source whence they are derived. it is generally known, that if we deprive an animal of food, the weight of its body diminishes during every moment of its existence. if this abstinence is continued for some time, the diminution becomes apparent to the eye; all the fat of the body disappears, the muscles decrease in firmness and bulk, and, if the animal is allowed to die starved, scarcely anything but skin, tendon, and bones, remain. this emaciation which occurs in a body otherwise healthy, demonstrates to us, that during the life of an animal every part of its living substance is undergoing a perpetual change; all its component parts, assuming the form of lifeless compounds, are thrown off by the skin, lungs, and urinary system, altered more or less by the secretory organs. this change in the living body is intimately connected with the process of respiration; it is, in truth, occasioned by the oxygen of the atmosphere in breathing, which combines with all the various matters within the body. at every inspiration a quantity of oxygen passes into the blood in the lungs, and unites with its elements; but although the weight of the oxygen thus daily entering into the body amounts to or more ounces, yet the weight of the body is not thereby increased. exactly as much oxygen as is imbibed in inspiration passes off in expiration, in the form of carbonic acid and water; so that with every breath the amount of carbon and hydrogen in the body is diminished. but the emaciation--the loss of weight by starvation--does not simply depend upon the separation of the carbon and hydrogen; but all the other substances which are in combination with these elements in the living tissues pass off in the secretions. the nitrogen undergoes a change, and is thrown out of the system by the kidneys. their secretion, the urine, contains not only a compound rich in nitrogen, namely urea, but the sulphur of the tissues in the form of a sulphate, all the soluble salts of the blood and animal fluids, common salt, the phosphates, soda and potash. the carbon and hydrogen of the blood, of the muscular fibre, and of all the animal tissues which can undergo change, return into the atmosphere. the nitrogen, and all the soluble inorganic elements are carried to the earth in the urine. these changes take place in the healthy animal body during every moment of life; a waste and loss of substance proceeds continually; and if this loss is to be restored, and the original weight and substance repaired, an adequate supply of materials must be furnished, from whence the blood and wasted tissues may be regenerated. this supply is obtained from the food. in an adult person in a normal or healthy condition, no sensible increase or decrease of weight occurs from day to day. in youth the weight of the body increases, whilst in old age it decreases. there can be no doubt that in the adult, the food has exactly replaced the loss of substance: it has supplied just so much carbon, hydrogen, nitrogen, and other elements, as have passed through the skin, lungs, and urinary organs. in youth the supply is greater than the waste. part of the elements of the food remain to augment the bulk of the body. in old age the waste is greater than the supply, and the body diminishes. it is unquestionable, that, with the exception of a certain quantity of carbon and hydrogen, which are secreted through the skin and lungs, we obtain, in the solid and fluid excrements of man and animals, all the elements of their food. we obtain daily, in the form of urea, all the nitrogen taken in the food both of the young and the adult; and further, in the urine, the whole amount of the alkalies, soluble phosphates and sulphates, contained in all the various aliments. in the solid excrements are found all those substances taken in the food which have undergone no alteration in the digestive organs, all indigestible matters, such as woody fibre, the green colouring matter of leaves ( chlorophyle), wax, &c. physiology teaches us, that the process of nutrition in animals, that is, their increase of bulk, or the restoration of wasted parts, proceeds from the blood. the purpose of digestion and assimilation is to convert the food into blood. in the stomach and intestines, therefore, all those substances in the food capable of conversion into blood are separated from its other constituents; in other words, during the passage of the food through the intestinal canal there is a constant absorption of its nitrogen, since only azotised substances are capable of conversion into blood; and therefore the solid excrements are destitute of that element, except only a small portion, in the constitution of that secretion which is formed to facilitate their passage. with the solid excrements, the phosphates of lime and magnesia, which were contained in the food and not assimilated, are carried off, these salts being insoluble in water, and therefore not entering the urine. we may obtain a clear insight into the chemical constitution of the solid excrements without further investigation, by comparing the faeces of a dog with his food. we give that animal flesh and bones--substances rich in azotised matter--and we obtain, as the last product of its digestion, a perfectly white excrement, solid while moist, but becoming in dry air a powder. this is the phosphate of lime of the bones, with scarcely one per cent. of foreign organic matter. thus we see that in the solid and fluid excrements of man and animals, all the nitrogen--in short, all the constituent ingredients of the consumed food, soluble and insoluble, are returned; and as food is primarily derived from the fields, we possess in those excrements all the ingredients which we have taken from it in the form of seeds, roots, or herbs. one part of the crops employed for fattening sheep and cattle is consumed by man as animal food; another part is taken directly--as flour, potatoes, green vegetables, &c.; a third portion consists of vegetable refuse, and straw employed as litter. none of the materials of the soil need be lost. we can, it is obvious, get back all its constituent parts which have been withdrawn therefrom, as fruits, grain and animals, in the fluid and solid excrements of man, and the bones, blood and skins of the slaughtered animals. it depends upon ourselves to collect carefully all these scattered elements, and to restore the disturbed equilibrium of composition in the soil. we can calculate exactly how much and which of the component parts of the soil we export in a sheep or an ox, in a quarter of barley, wheat or potatoes, and we can discover, from the known composition of the excrements of man and animals, how much we have to supply to restore what is lost to our fields. if, however, we could procure from other sources the substances which give to the exuviae of man and animals their value in agriculture, we should not need the latter. it is quite indifferent for our purpose whether we supply the ammonia (the source of nitrogen) in the form of urine, or in that of a salt derived from coal-tar; whether we derive the phosphate of lime from bones, apatite, or fossil excrements (the coprolithes). the principal problem for agriculture is, how to replace those substances which have been taken from the soil, and which cannot be furnished by the atmosphere. if the manure supplies an imperfect compensation for this loss, the fertility of a field or of a country decreases; if, on the contrary, more are given to the fields, their fertility increases. an importation of urine, or of solid excrements, from a foreign country, is equivalent to an importation of grain and cattle. in a certain time, the elements of those substances assume the form of grain, or of fodder, then become flesh and bones, enter into the human body, and return again day by day to the form they originally possessed. the only real loss of elements we are unable to prevent is of the phosphates, and these, in accordance with the customs of all modern nations, are deposited in the grave. for the rest, every part of that enormous quantity of food which a man consumes during his lifetime ( say in sixty or seventy years), which was derived from the fields, can be obtained and returned to them. we know with absolute certainty, that in the blood of a young or growing animal there remains a certain quantity of phosphate of lime and of the alkaline phosphates, to be stored up and to minister to the growth of the bones and general bulk of the body, and that, with the exception of this very small quantity, we receive back, in the solid and fluid excrements, all the salts and alkaline bases, all the phosphate of lime and magnesia, and consequently all the inorganic elements which the animal consumes in its food. we can thus ascertain precisely the quantity, quality, and composition of animal excrements, without the trouble of analysing them. if we give a horse daily / pounds' weight of oats, and pounds of hay, and knowing that oats give per cent. and hay per cent. of ashes, we can calculate that the daily excrements of the horse will contain ounces of inorganic matter which was drawn from the fields. by analysis we can determine the exact relative amount of silica, of phosphates, and of alkalies, contained in the ashes of the oats and of the hay. you will now understand that the constituents of the solid parts of animal excrements, and therefore their qualities as manure, must vary with the nature of the creature's food. if we feed a cow upon beetroot, or potatoes, without hay, straw or grain, there will be no silica in her solid excrements, but there will be phosphate of lime and magnesia. her fluid excrements will contain carbonate of potash and soda, together with compounds of the same bases with inorganic acids. in one word, we have, in the fluid excrements, all the soluble parts of the ashes of the consumed food; and in the solid excrements, all those parts of the ashes which are insoluble in water. if the food, after burning, leaves behind ashes containing soluble alkaline phosphates, as is the case with bread, seeds of all kinds, and flesh, we obtain from the animal by which they are consumed a urine holding in solution these phosphates. if, however, the ashes of food contain no alkaline phosphates, but abound in insoluble earthy phosphates, as hay, carrots, and potatoes, the urine will be free from alkaline phosphates, but the earthy phosphates will be found in the faeces. the urine of man, of carnivorous and graminivorous animals, contains alkaline phosphates; that of herbivorous animals is free from these salts. the analysis of the excrements of man, of the piscivorous birds (as the guano), of the horse, and of cattle, furnishes us with the precise knowledge of the salts they contain, and demonstrates, that in those excrements, we return to the fields the ashes of the plants which have served as food,--the soluble and insoluble salts and earths indispensable to the development of cultivated plants, and which must be furnished to them by a fertile soil. there can be no doubt that, in supplying these excrements to the soil, we return to it those constituents which the crops have removed from it, and we renew its capability of nourishing new crops: in one word, we restore the disturbed equilibrium; and consequently, knowing that the elements of the food derived from the soil enter into the urine and solid excrements of the animals it nourishes, we can with the greatest facility determine the exact value of the different kinds of manure. thus the excrements of pigs which we have fed with peas and potatoes are principally suited for manuring crops of potatoes and peas. in feeding a cow upon hay and turnips, we obtain a manure containing the inorganic elements of grasses and turnips, and which is therefore preferable for manuring turnips. the excrement of pigeons contains the mineral elements of grain; that of rabbits, the elements of herbs and kitchen vegetables. the fluid and solid excrements of man, however, contain the mineral elements of grain and seeds in the greatest quantity. letter xv my dear sir, you are now acquainted with my opinions respecting the effects of the application of mineral agents to our cultivated fields, and also the rationale of the influence of the various kinds of manures; you will, therefore, now readily understand what i have to say of the sources whence the carbon and nitrogen, indispensable to the growth of plants, are derived. the growth of forests, and the produce of meadows, demonstrate that an inexhaustible quantity of carbon is furnished for vegetation by the carbonic acid of the atmosphere. we obtain from an equal surface of forest, or meadow-land, where the necessary mineral elements of the soil are present in a suitable state, and to which no carbonaceous matter whatever is furnished in manures, an amount of carbon, in the shape of wood and hay, quite equal, and oftimes more than is produced by our fields, in grain, roots, and straw, upon which abundance of manure has been heaped. it is perfectly obvious that the atmosphere must furnish to our cultivated fields as much carbonic acid, as it does to an equal surface of forest or meadow, and that the carbon of this carbonic acid is assimilated, or may be assimilated by the plants growing there, provided the conditions essential to its assimilation, and becoming a constituent element of vegetables, exist in the soil of these fields. in many tropical countries the produce of the land in grain or roots, during the whole year, depends upon one rain in the spring. if this rain is deficient in quantity, or altogether wanting, the expectation of an abundant harvest is diminished or destroyed. now it cannot be the water merely which produces this enlivening and fertilising effect observed, and which lasts for weeks and months. the plant receives, by means of this water, at the time of its first development, the alkalies, alkaline earths, and phosphates, necessary to its organization. if these elements, which are necessary previous to its assimilation of atmospheric nourishment, be absent, its growth is retarded. in fact, the development of a plant is in a direct ratio to the amount of the matters it takes up from the soil. if, therefore, a soil is deficient in these mineral constituents required by plants, they will not flourish even with an abundant supply of water. the produce of carbon on a meadow, or an equal surface of forest land, is independent of a supply of carbonaceous manure, but it depends upon the presence of certain elements of the soil which in themselves contain no carbon, together with the existence of conditions under which their assimilation by plants can be effected. we increase the produce of our cultivated fields, in carbon, by a supply of lime, ashes, and marl, substances which cannot furnish carbon to the plants, and yet it is indisputable,--being founded upon abundant experience,--that in these substances we furnish to the fields elements which greatly increase the bulk of their produce, and consequently the amount of carbon. if we admit these facts to be established, we can no longer doubt that a deficient produce of carbon, or in other words, the barrenness of a field does not depend upon carbonic acid, because we are able to increase the produce, to a certain degree, by a supply of substances which do not contain any carbon. the same source whence the meadow and the forest are furnished with carbon, is also open to our cultivated plants. the great object of agriculture, therefore, is to discover the means best adapted to enable these plants to assimilate the carbon of the atmosphere which exists in it as carbonic acid. in furnishing plants, therefore, with mineral elements, we give them the power to appropriate carbon from a source which is inexhaustible; whilst in the absence of these elements the most abundant supply of carbonic acid, or of decaying vegetable matter, would not increase the produce of a field. with an adequate and equal supply of these essential mineral constituents in the soil, the amount of carbonic acid absorbed by a plant from the atmosphere in a given time is limited by the quantity which is brought into contact with its organs of absorption. the withdrawal of carbonic acid from the atmosphere by the vegetable organism takes place chiefly through its leaves; this absorption requires the contact of the carbonic acid with their surface, or with the part of the plant by which it is absorbed. the quantity of carbonic acid absorbed in a given time is in direct proportion to the surface of the leaves and the amount of carbonic acid contained in the air; that is, two plants of the same kind and the same extent of surface of absorption, in equal times and under equal conditions, absorb one and the same amount of carbon. in an atmosphere containing a double proportion of carbonic acid, a plant absorbs, under the same condition, twice the quantity of carbon. boussingault observed, that the leaves of the vine, inclosed in a vessel, withdrew all the carbonic acid from a current of air which was passed through it, however great its velocity. (dumas lecon, p. .) if, therefore, we supply double the quantity of carbonic acid to one plant, the extent of the surface of which is only half that of another living in ordinary atmospheric air, the former will obtain and appropriate as much carbon as the latter. hence results the effects of humus, and all decaying organic substances, upon vegetation. if we suppose all the conditions for the absorption of carbonic acid present, a young plant will increase in mass, in a limited time, only in proportion to its absorbing surface; but if we create in the soil a new source of carbonic acid, by decaying vegetable substances, and the roots absorb in the same time three times as much carbonic acid from the soil as the leaves derive from the atmosphere, the plant will increase in weight fourfold. this fourfold increase extends to the leaves, buds, stalks, &c., and in the increased extent of the surface, the plant acquires an increased power of absorbing nourishment from the air, which continues in action far beyond the time when its derivation of carbonic acid through the roots ceases. humus, as a source of carbonic acid in cultivated lands, is not only useful as a means of increasing the quantity of carbon--an effect which in most cases may be very indifferent for agricultural purposes--but the mass of the plant having increased rapidly in a short time, space is obtained for the assimilation of the elements of the soil necessary for the formation of new leaves and branches. water evaporates incessantly from the surface of the young plant; its quantity is in direct proportion to the temperature and the extent of the surface. the numerous radical fibrillae replace, like so many pumps, the evaporated water; and so long as the soil is moist, or penetrated with water, the indispensable elements of the soil, dissolved in the water, are supplied to the plant. the water absorbed by the plant evaporating in an aeriform state leaves the saline and other mineral constituents within it. the relative proportion of these elements taken up by a plant, is greater, the more extensive the surface and more abundant the supply of water; where these are limited, the plant soon reaches its full growth, while if their supply is continued, a greater amount of elements necessary to enable it to appropriate atmospheric nourishment being obtained, its development proceeds much further. the quantity, or mass of seed produced, will correspond to the quantity of mineral constituents present in the plant. that plant, therefore, containing the most alkaline phosphates and earthy salts will produce more or a greater weight of seeds than another which, in an equal time has absorbed less of them. we consequently observe, in a hot summer, when a further supply of mineral ingredients from the soil ceases through want of water, that the height and strength of plants, as well as the development of their seeds, are in direct proportion to its absorption of the elementary parts of the soil in the preceding epochs of its growth. the fertility of the year depends in general upon the temperature, and the moisture or dryness of the spring, if all the conditions necessary to the assimilation of the atmospheric nourishment be secured to our cultivated plants. the action of humus, then, as we have explained it above, is chiefly of value in gaining time. in agriculture, this must ever be taken into account and in this respect humus is of importance in favouring the growth of vegetables, cabbages, &c. but the cerealia, and plants grown for their roots, meet on our fields, in the remains of the preceding crop, with a quantity of decaying vegetable substances corresponding to their contents of mineral nutriment from the soil, and consequently with a quantity of carbonic acid adequate to their accelerated development in the spring. a further supply of carbonic acid, therefore, would be quite useless, without a corresponding increase of mineral ingredients. from a morgen of good meadow land, , pounds weight of hay, according to the best agriculturists, are obtained on an average. this amount is furnished without any supply of organic substances, without manure containing carbon or nitrogen. by irrigation, and the application of ashes or gypsum, double that amount may be grown. but assuming , pounds weight of hay to be the maximum, we may calculate the amount of carbon and nitrogen derived from the atmosphere by the plants of meadows. according to elementary analysis, hay, dried at a temperature of deg reaumur, contains . per cent. of carbon, and / per cent. of nitrogen. per cent. of water retained by the hay, dried at common temperatures, is driven off at deg. , pounds weight of hay, therefore, corresponds to , pounds, dried at deg. this shows us, that pounds of carbon, and . pounds weight of nitrogen, have been obtained in the produce of one morgen of meadow land. supposing that this nitrogen has been absorbed by the plants in the form of ammonia, the atmosphere contains . pounds weight of ammonia to every pounds weight of carbonic acid (= carbon, or per cent.), or in other words, to every , pounds weight of carbonic acid, . pounds of ammonia, that is to about / , , the weight of the air, or / , of its volume. for every parts of carbonic acid absorbed by the surface of the leaves, the plant receives from the atmosphere somewhat more than one part of ammonia. with every , pounds of carbon, we obtain-- from a meadow . / pounds of nitrogen. from cultivated fields, in wheat . / " " oats . . " " rye . . " " potatoes . . " " beetroot . . " " clover . " " peas . " " boussingault obtained from his farm at bechelbronn, in alsace, in five years, in the shape of potatoes, wheat, clover, turnips, and oats, , of carbon, and . nitrogen. in the following five years, as beetroot, wheat, clover, turnips, oats, and rye, , of carbon, and . of nitrogen. in a further course of six years, potatoes, wheat, clover, turnips, peas, and rye, , of carbon, . of nitrogen. in years, , carbon, / nitrogen, which gives for every , carbon, . nitrogen. from these interesting and unquestionable facts, we may deduce some conclusions of the highest importance in their application to agriculture. . we observe that the relative proportions of carbon and nitrogen, stand in a fixed relation to the surface of the leaves. those plants, in which all the nitrogen may be said to be concentrated in the seeds, as the cerealia, contain on the whole less nitrogen than the leguminous plants, peas, and clover. . the produce of nitrogen on a meadow which receives no nitrogenised manure, is greater than that of a field of wheat which has been manured. . the produce of nitrogen in clover and peas, which agriculturists will acknowledge require no nitrogenised manure, is far greater than that of a potato or turnip field, which is abundantly supplied with such manures. lastly. and this is the most curious deduction to be derived from the above facts,--if we plant potatoes, wheat, turnips, peas, and clover, (plants containing potash, lime, and silex,) upon the same land, three times manured, we gain in years, for a given quantity of carbon, the same proportion of nitrogen which we receive from a meadow which has received no nitrogenised manure. on a morgen of meadow-land, we obtain in plants, containing silex, lime, and potash, carbon, . nitrogen. on a morgen of cultivated land, in an average of years, in plants containing the same mineral elements, silex, lime, and potash, carbon, . nitrogen. if we add the carbon and nitrogen of the leaves of the beetroot, and the stalk and leaves of the potatoes, which have not been taken into account, it still remains evident that the cultivated fields, notwithstanding the supply of carbonaceous and nitrogenised manures, produced no more carbon and nitrogen than an equal surface of meadow-land supplied only with mineral elements. what then is the rationale of the effect of manure,--of the solid and fluid excrements of animals? this question can now be satisfactorily answered: that effect is the restoration of the elementary constituents of the soil which have been gradually drawn from it in the shape of grain and cattle. if the land i am speaking of had not been manured during those years, not more than one-half, or perhaps than one-third part of the carbon and nitrogen would have been produced. we owe it to the animal excrements, that it equalled in production the meadow-land, and this, because they restored the mineral ingredients of the soil removed by the crops. all that the supply of manure accomplished, was to prevent the land from becoming poorer in these, than the meadow which produces , pounds of hay. we withdraw from the meadow in this hay as large an amount of mineral substances as we do in one harvest of grain, and we know that the fertility of the meadow is just as dependent upon the restoration of these ingredients to its soil, as the cultivated land is upon manures. two meadows of equal surface, containing unequal quantities of inorganic elements of nourishment,--other conditions being equal,--are very unequally fertile; that which possesses most, furnishes most hay. if we do not restore to a meadow the withdrawn elements, its fertility decreases. but its fertility remains unimpaired, with a due supply of animal excrements, fluid and solid, and it not only remains the same, but may be increased by a supply of mineral substances alone, such as remain after the combustion of ligneous plants and other vegetables; namely, ashes. ashes represent the whole nourishment which vegetables receive from the soil. by furnishing them in sufficient quantities to our meadows, we give to the plants growing on them the power of condensing and absorbing carbon and nitrogen by their surface. may not the effect of the solid and fluid excrements, which are the ashes of plants and grains, which have undergone combustion in the bodies of animals and of man, be dependent upon the same cause? should not the fertility, resulting from their application, be altogether independent of the ammonia they contain? would not their effect be precisely the same in promoting the fertility of cultivated plants, if we had evaporated the urine, and dried and burned the solid excrements? surely the cerealia and leguminous plants which we cultivate must derive their carbon and nitrogen from the same source whence the graminea and leguminous plants of the meadows obtain them! no doubt can be entertained of their capability to do so. in virginia, upon the lowest calculation, pounds weight of nitrogen were taken on the average, yearly, from every morgen of the wheat-fields. this would amount, in years, to , pounds weight. if this were derived from the soil, every morgen of it must have contained the equivalent of , pounds weight of animal excrements (assuming the latter, when dried, at the temperature of boiling water, to contain per cent.). in hungary, as i remarked in a former letter, tobacco and wheat have been grown upon the same field for centuries, without any supply of nitrogenised manure. is it possible that the nitrogen essential to, and entering into, the composition of these crops, could have been drawn from the soil? every year renews the foliage and fruits of our forests of beech, oak, and chesnuts; the leaves, the acorns, the chesnuts, are rich in nitrogen; so are cocoa-nuts, bread-fruit, and other tropical productions. this nitrogen is not supplied by man, can it indeed be derived from any other source than the atmosphere? in whatever form the nitrogen supplied to plants may be contained in the atmosphere, in whatever state it may be when absorbed, from the atmosphere it must have been derived. did not the fields of virginia receive their nitrogen from the same source as wild plants? is the supply of nitrogen in the excrements of animals quite a matter of indifference, or do we receive back from our fields a quantity of the elements of blood corresponding to this supply? the researches of boussingault have solved this problem in the most satisfactory manner. if, in his grand experiments, the manure which he gave to his fields was in the same state, i.e. dried at deg in a vacuum, as it was when analysed, these fields received, in years, , pounds of nitrogen. but we know that by drying all the nitrogen escapes which is contained in solid animal excrements, as volatile carbonate of ammonia. in this calculation the nitrogen of the urine, which by decomposition is converted into carbonate of ammonia, has not been included. if we suppose it amounted to half as much as that in the dried excrements, this would make the quantity of nitrogen supplied to the fields , pounds. in years, however, as we have seen, only , pounds of nitrogen, was contained in their produce of grain, straw, roots, et cetera--that is, far less than was supplied in the manure; and in the same period the same extent of surface of good meadow-land (one hectare = a hessian morgen), which received no nitrogen in manure, , pounds of nitrogen. it is well known that in egypt, from the deficiency of wood, the excrement of animals is dried, and forms the principal fuel, and that the nitrogen from the soot of this excrement was, for many centuries, imported into europe in the form of sal ammoniac, until a method of manufacturing this substance was discovered at the end of the last century by gravenhorst of brunswick. the fields in the delta of the nile are supplied with no other animal manures than the ashes of the burnt excrements, and yet they have been proverbially fertile from a period earlier than the first dawn of history, and that fertility continues to the present day as admirable as it was in the earliest times. these fields receive, every year, from the inundation of the nile, a new soil, in its mud deposited over their surface, rich in those mineral elements which have been withdrawn by the crops of the previous harvest. the mud of the nile contains as little nitrogen as the mud derived from the alps of switzerland, which fertilises our fields after the inundations of the rhine. if this fertilising mud owed this property to nitrogenised matters; what enormous beds of animal and vegetable exuviae and remains ought to exist in the mountains of africa, in heights extending beyond the limits of perpetual snow, where no bird, no animal finds food, from the absence of all vegetation! abundant evidence in support of the important truth we are discussing, may be derived from other well known facts. thus, the trade of holland in cheese may be adduced in proof and illustration thereof. we know that cheese is derived from the plants which serve as food for cows. the meadow-lands of holland derive the nitrogen of cheese from the same source as with us; i.e. the atmosphere. the milch cows of holland remain day and night on the grazing-grounds, and therefore, in their fluid and solid excrements return directly to the soil all the salts and earthy elements of their food: a very insignificant quantity only is exported in the cheese. the fertility of these meadows can, therefore, be as little impaired as our own fields, to which we restore all the elements of the soil, as manure, which have been withdrawn in the crops. the only difference is, in holland they remain on the field, whilst we collect them at home and carry them, from time to time, to the fields. the nitrogen of the fluid and solid excrements of cows, is derived from the meadow-plants, which receive it from the atmosphere; the nitrogen of the cheese also must be drawn from the same source. the meadows of holland have, in the lapse of centuries, produced millions of hundredweights of cheese. thousands of hundredweights are annually exported, and yet the productiveness of the meadows is in no way diminished, although they never receive more nitrogen than they originally contained. nothing then can be more certain than the fact, that an exportation of nitrogenised products does not exhaust the fertility of a country; inasmuch as it is not the soil, but the atmosphere, which furnishes its vegetation with nitrogen. it follows, consequently, that we cannot increase the fertility of our fields by a supply of nitrogenised manure, or by salts of ammonia, but rather that their produce increases or diminishes, in a direct ratio, with the supply of mineral elements capable of assimilation. the formation of the constituent elements of blood, that is, of the nitrogenised principles in our cultivated plants, depends upon the presence of inorganic matters in the soil, without which no nitrogen can be assimilated even when there is a most abundant supply. the ammonia contained in animal excrements exercises a favourable effect, inasmuch as it is accompanied by the other substances necessary to accomplish its transition into the elements of the blood. if we supply ammonia associated with all the conditions necessary to its assimilation, it ministers to the nourishment of the plants; but if this artificial supply is not given they can derive all the needed nitrogen from the atmosphere--a source, every loss from which is restored by the decomposition of the bodies of dead animals and the decay of plants. ammonia certainly favours, and accelerates, the growth of plants in all soils, wherein all the conditions of its assimilation are united; but it is altogether without effect, as respects the production of the elements of blood where any of these conditions are wanting. we can suppose that asparagin, the active constituent of asparagus, the mucilaginous root of the marsh-mallow, the nitrogenised and sulphurous ingredients of mustard-seed, and of all cruciferous plants, may originate without the aid of the mineral elements of the soil. but if the principles of those vegetables, which serve as food, could be generated without the co-operation of the mineral elements of blood, without potash, soda, phosphate of soda, phosphate of lime, they would be useless to us and to herbivorous animals as food; they would not fulfil the purpose for which the wisdom of the creator has destined them. in the absence of alkalies and the phosphates, no blood, no milk, no muscular fibre can be formed. without phosphate of lime our horses, sheep and cattle, would be without bones. in the urine and in the solid excrements of animals we carry ammonia, and, consequently, nitrogen, to our cultivated plants, and this nitrogen is accompanied by all the mineral elements of food exactly in the same proportions, in which both are contained in the plants which served as food to the animals, or what is the same, in those proportions in which both can serve as nourishment to a new generation of plants, to which both are essential. the effect of an artificial supply of ammonia, as a source of nitrogen, is, therefore, precisely analogous to that of humus as a source of carbonic acid--it is limited to a gain of time; that is, it accelerates the development of plants. this is of great importance, and should always be taken into account in gardening, especially in the treatment of the kitchen-garden; and as much as possible, in agriculture on a large scale, where the time occupied in the growth of the plants cultivated is of importance. when we have exactly ascertained the quantity of ashes left after the combustion of cultivated plants which have grown upon all varieties of soil, and have obtained correct analyses of these ashes, we shall learn with certainty which of the constituent elements of the plants are constant and which are changeable, and we shall arrive at an exact knowledge of the sum of all the ingredients we withdraw from the soil in the different crops. with this knowledge the farmer will be able to keep an exact record, of the produce of his fields in harvest, like the account-book of a well regulated manufactory; and then by a simple calculation he can determine precisely the substances he must supply to each field, and the quantity of these, in order to restore their fertility. he will be able to express, in pounds weight, how much of this or that element he must give in order to augment its fertility for any given kind of plants. these researches and experiments are the great desideratum of the present time. to the united efforts of the chemists of all countries we may confidently look for a solution of these great questions, and by the aid of enlightened agriculturists we shall arrive at a rational system of gardening, horticulture, and agriculture, applicable to every country and all kinds of soil, and which will be based upon the immutable foundation of observed facts and philosophical induction. letter xvi my dear sir, my recent researches into the constituent ingredients of our cultivated fields have led me to the conclusion that, of all the elements furnished to plants by the soil and ministering to their nourishment, the phosphate of lime--or, rather, the phosphates generally--must be regarded as the most important. in order to furnish you with a clear idea of the importance of the phosphates, it may be sufficient to remind you of the fact, that the blood of man and animals, besides common salt, always contains alkaline and earthy phosphates. if we burn blood and examine the ashes which remain, we find certain parts of them soluble in water, and others insoluble. the soluble parts are, common salt and alkaline phosphates; the insoluble consist of phosphate of lime, phosphate of magnesia, and oxide of iron. these mineral ingredients of the blood--without the presence of which in the food the formation of blood is impossible--both man and animals derive either immediately, or mediately through other animals, from vegetable substances used as food; they had been constituents of vegetables, they had been parts of the soil upon which the vegetable substances were developed. if we compare the amount of the phosphates in different vegetable substances with each other, we discover a great variety, whilst there is scarcely any ashes of plants altogether devoid of them, and those parts of plants which experience has taught us are the most nutritious, contain the largest proportion. to these belong all seeds and grain, especially the varieties of bread-corn, peas, beans, and lentils. it is a most curious fact that if we incinerate grain or its flour, peas, beans, and lentils, we obtain ashes, which are distinguished from the ashes of all other parts of vegetables by the absence of alkaline carbonates. the ashes of these seeds when recently prepared, do not effervesce with acids; their soluble ingredients consist solely of alkaline phosphates, the insoluble parts of phosphate of lime, phosphate of magnesia, and oxide of iron: consequently, of the very same salts which are contained in blood, and which are absolutely indispensable to its formation. we are thus brought to the further indisputable conclusion that no seed suitable to become food for man and animals can be formed in any plant without the presence and co-operation of the phosphates. a field in which phosphate of lime, or the alkaline phosphates, form no part of the soil, is totally incapable of producing grain, peas, or beans. an enormous quantity of these substances indispensable to the nourishment of plants, is annually withdrawn from the soil and carried into great towns, in the shape of flour, cattle, et cetera. it is certain that this incessant removal of the phosphates must tend to exhaust the land and diminish its capability of producing grain. the fields of great britain are in a state of progressive exhaustion from this cause, as is proved by the rapid extension of the cultivation of turnips and mangel wurzel--plants which contain the least amount of the phosphates, and therefore require the smallest quantity for their development. these roots contain to per cent. of water. their great bulk makes the amount of produce fallacious, as respects their adaptation to the food of animals, inasmuch as their contents of the ingredients of the blood, i.e. of substances which can be transformed into flesh, stands in a direct ratio to their amount of phosphates, without which neither blood nor flesh can be formed. our fields will become more and more deficient in these essential ingredients of food, in all localities where custom and habits do not admit the collection of the fluid and solid excrements of man, and their application to the purposes of agriculture. in a former letter i showed you how great a waste of phosphates is unavoidable in england, and referred to the well-known fact that the importation of bones restored in a most admirable manner the fertility of the fields exhausted from this cause. in the year the importation of bones for manure amounted to , tons, and huskisson estimated their value to be from l , to l , sterling. the importation is still greater at present, but it is far from being sufficient to supply the waste. another proof of the efficacy of the phosphates in restoring fertility to exhausted land is afforded by the use of the guano--a manure which, although of recent introduction into england, has found such general and extensive application. we believe that the importation of one hundred-weight of guano is equivalent to the importation of eight hundred-weight of wheat--the hundred-weight of guano assumes in a time which can be accurately estimated the form of a quantity of food corresponding to eight hundred-weight of wheat. the same estimate is applicable in the valuation of bones. if it were possible to restore to the soil of england and scotland the phosphates which during the last fifty years have been carried to the sea by the thames and the clyde, it would be equivalent to manuring with millions of hundred-weights of bones, and the produce of the land would increase one-third, or perhaps double itself, in five to ten years. we cannot doubt that the same result would follow if the price of the guano admitted the application of a quantity to the surface of the fields, containing as much of the phosphates as have been withdrawn from them in the same period. if a rich and cheap source of phosphate of lime and the alkaline phosphates were open to england, there can be no question that the importation of foreign corn might be altogether dispensed with after a short time. for these materials england is at present dependent upon foreign countries, and the high price of guano and of bones prevents their general application, and in sufficient quantity. every year the trade in these substances must decrease, or their price will rise as the demand for them increases. according to these premises, it cannot be disputed, that the annual expense of great britain for the importation of bones and guano is equivalent to a duty on corn: with this difference only, that the amount is paid to foreigners in money. to restore the disturbed equilibrium of constitution of the soil,--to fertilise her fields,--england requires an enormous supply of animal excrements, and it must, therefore, excite considerable interest to learn, that she possesses beneath her soil beds of fossil guano, strata of animal excrements, in a state which will probably allow of their being employed as a manure at a very small expense. the coprolithes discovered by dr. buckland, (a discovery of the highest interest to geology,) are these excrements; and it seems extremely probable that in these strata england possesses the means of supplying the place of recent bones, and therefore the principal conditions of improving agriculture--of restoring and exalting the fertility of her fields. in the autumn of , dr. buckland pointed out to me a bed of coprolithes in the neighbourhood of clifton, from half to one foot thick, inclosed in a limestone formation, extending as a brown stripe in the rocks, for miles along the banks of the severn. the limestone marl of lyme regis consists, for the most part, of one-fourth part of fossil excrements and bones. the same are abundant in the lias of bath, eastern and broadway hill, near evesham. dr. buckland mentions beds, several miles in extent, the substance of which consists, in many places, of a fourth part of coprolithes. pieces of the limestone rock in clifton, near bristol, which is rich in coprolithes and organic remains, fragments of bones, teeth, &c., were subjected to analysis, and were found to contain above per cent. of phosphate of lime. if this limestone is burned and brought in that state to the fields, it must be a perfect substitute for bones, the efficacy of which as a manure does not depend, as has been generally, but erroneously supposed, upon the nitrogenised matter which they contain, but on their phosphate of lime. the osseous breccia found in many parts of england deserves especial attention, as it is highly probable that in a short time it will become an important article of commerce. what a curious and interesting subject for contemplation! in the remains of an extinct animal world, england is to find the means of increasing her wealth in agricultural produce, as she has already found the great support of her manufacturing industry in fossil fuel,--the preserved matter of primeval forests,--the remains of a vegetable world. may this expectation be realised! and may her excellent population be thus redeemed from poverty and misery! an elementary study of chemistry by william mcpherson, ph.d. professor of chemistry, ohio state university and william edwards henderson, ph.d. associate professor of chemistry, ohio state university _revised edition_ ginn & company boston * new york * chicago * london copyright, , , by william mcpherson and william e. henderson all rights reserved the athenæum press ginn & company * proprietors * boston * u.s.a. transcriber's note: for text: a word surrounded by a cedilla such as ~this~ signifies that the word is bolded in the text. a word surrounded by underscores like _this_ signifies the word is italics in the text. the italic and bold markup for single italized letters (such as variables in equations) and "foreign" abbreviations are deleted for easier reading. for numbers and equations: parentheses have been added to clarify fractions. underscores before bracketed numbers in equations denote a subscript. superscripts are designated with a caret and brackets, e.g. . ^{ } is . to the third power. appendix a and b have been moved to the end of the book. minor typos have been corrected. preface in offering this book to teachers of elementary chemistry the authors lay no claim to any great originality. it has been their aim to prepare a text-book constructed along lines which have become recognized as best suited to an elementary treatment of the subject. at the same time they have made a consistent effort to make the text clear in outline, simple in style and language, conservatively modern in point of view, and thoroughly teachable. the question as to what shall be included in an elementary text on chemistry is perhaps the most perplexing one which an author must answer. while an enthusiastic chemist with a broad understanding of the science is very apt to go beyond the capacity of the elementary student, the authors of this text, after an experience of many years, cannot help believing that the tendency has been rather in the other direction. in many texts no mention at all is made of fundamental laws of chemical action because their complete presentation is quite beyond the comprehension of the student, whereas in many cases it is possible to present the essential features of these laws in a way that will be of real assistance in the understanding of the science. for example, it is a difficult matter to deduce the law of mass action in any very simple way; yet the elementary student can readily comprehend that reactions are reversible, and that the point of equilibrium depends upon, rather simple conditions. the authors believe that it is worth while to present such principles in even an elementary and partial manner because they are of great assistance to the general student, and because they make a foundation upon which the student who continues his studies to more advanced courses can securely build. the authors have no apologies to make for the extent to which they have made use of the theory of electrolytic dissociation. it is inevitable that in any rapidly developing science there will be differences of opinion in regard to the value of certain theories. there can be no question, however, that the outline of the theory of dissociation here presented is in accord with the views of the very great majority of the chemists of the present time. moreover, its introduction to the extent to which the authors have presented it simplifies rather than increases the difficulties with which the development of the principles of the science is attended. the oxygen standard for atomic weights has been adopted throughout the text. the international committee, to which is assigned the duty of yearly reporting a revised list of the atomic weights of the elements, has adopted this standard for their report, and there is no longer any authority for the older hydrogen standard. the authors do not believe that the adoption of the oxygen standard introduces any real difficulties in making perfectly clear the methods by which atomic weights are calculated. the problems appended to the various chapters have been chosen with a view not only of fixing the principles developed in the text in the mind of the student, but also of enabling him to answer such questions as arise in his laboratory work. they are, therefore, more or less practical in character. it is not necessary that all of them should be solved, though with few exceptions the lists are not long. the answers to the questions are not directly given in the text as a rule, but can be inferred from the statements made. they therefore require independent thought on the part of the student. with very few exceptions only such experiments are included in the text as cannot be easily carried out by the student. it is expected that these will be performed by the teacher at the lecture table. directions for laboratory work by the student are published in a separate volume. while the authors believe that the most important function of the elementary text is to develop the principles of the science, they recognize the importance of some discussion of the practical application of these principles to our everyday life. considerable space is therefore devoted to this phase of chemistry. the teacher should supplement this discussion whenever possible by having the class visit different factories where chemical processes are employed. although this text is now for the first time offered to teachers of elementary chemistry, it has nevertheless been used by a number of teachers during the past three years. the present edition has been largely rewritten in the light of the criticisms offered, and we desire to express our thanks to the many teachers who have helped us in this respect, especially to dr. william lloyd evans of this laboratory, a teacher of wide experience, for his continued interest and helpfulness. we also very cordially solicit correspondence with teachers who may find difficulties or inaccuracies in the text. the authors wish to make acknowledgments for the photographs and engravings of eminent chemists from which the cuts included in the text were taken; to messrs. elliott and fry, london, england, for that of ramsay; to the macmillan company for those of davy and dalton, taken from the century science series; to the l. e. knott apparatus company, boston, for that of bunsen. the authors ohio state university columbus, ohio contents chapter page i. introduction ii. oxygen iii. hydrogen iv. water and hydrogen dioxide v. the atomic theory vi. chemical equations and calculations vii. nitrogen and the rare elements in the atmosphere viii. the atmosphere ix. solutions x. acids, bases, and salts; neutralization xi. valence xii. compounds of nitrogen xiii. reversible reactions and chemical equilibrium xiv. sulphur and its compounds xv. periodic law xvi. the chlorine family xvii. carbon and some of its simpler compounds xviii. flames,--illuminants xix. molecular weights, atomic weights, formulas xx. the phosphorus family xxi. silicon, titanium, boron xxii. the metals xxiii. the alkali metals xxiv. the alkaline-earth family xxv. the magnesium family xxvi. the aluminium family xxvii. the iron family xxviii. copper, mercury, and silver xxix. tin and lead xxx. manganese and chromium xxxi. gold and the platinum family xxxii. some simple organic compounds index appendix a facing back cover appendix b inside back cover list of full-page illustrations page antoine laurent lavoisier _frontispiece_ joseph priestley john dalton william ramsay dmitri ivanovitch mendelÉeff henri moissan sir humphry davy robert wilhelm bunsen an elementary study of chemistry chapter i introduction ~the natural sciences.~ before we advance very far in the study of nature, it becomes evident that the one large study must be divided into a number of more limited ones for the convenience of the investigator as well as of the student. these more limited studies are called the _natural sciences_. since the study of nature is divided in this way for mere convenience, and not because there is any division in nature itself, it often happens that the different sciences are very intimately related, and a thorough knowledge of any one of them involves a considerable acquaintance with several others. thus the botanist must know something about animals as well as about plants; the student of human physiology must know something about physics as well as about the parts of the body. ~intimate relation of chemistry and physics.~ physics and chemistry are two sciences related in this close way, and it is not easy to make a precise distinction between them. in a general way it may be said that they are both concerned with inanimate matter rather than with living, and more particularly with the changes which such matter may be made to undergo. these changes must be considered more closely before a definition of the two sciences can be given. ~physical changes.~ one class of changes is not accompanied by an alteration in the composition of matter. when a lump of coal is broken the pieces do not differ from the original lump save in size. a rod of iron may be broken into pieces; it may be magnetized; it may be heated until it glows; it may be melted. in none of these changes has the composition of the iron been affected. the pieces of iron, the magnetized iron, the glowing iron, the melted iron, are just as truly iron as was the original rod. sugar may be dissolved in water, but neither the sugar nor the water is changed in composition. the resulting liquid has the sweet taste of sugar; moreover the water may be evaporated by heating and the sugar recovered unchanged. such changes are called _physical changes_. definition: _physical changes are those which do not involve a change in the composition of the matter._ ~chemical changes.~ matter may undergo other changes in which its composition is altered. when a lump of coal is burned ashes and invisible gases are formed which are entirely different in composition and properties from the original coal. a rod of iron when exposed to moist air is gradually changed into rust, which is entirely different from the original iron. when sugar is heated a black substance is formed which is neither sweet nor soluble in water. such changes are evidently quite different from the physical changes just described, for in them new substances are formed in place of the ones undergoing change. changes of this kind are called _chemical changes_. definition: _chemical changes are those which involve a change in the composition of the matter._ ~how to distinguish between physical and chemical changes.~ it is not always easy to tell to which class a given change belongs, and many cases will require careful thought on the part of the student. the test question in all cases is, has the composition of the substance been changed? usually this can be answered by a study of the properties of the substance before and after the change, since a change in composition is attended by a change in properties. in some cases, however, only a trained observer can decide the question. ~changes in physical state.~ one class of physical changes should be noted with especial care, since it is likely to prove misleading. it is a familiar fact that ice is changed into water, and water into steam, by heating. here we have three different substances,--the solid ice, the liquid water, and the gaseous steam,--the properties of which differ widely. the chemist can readily show, however, that these three bodies have exactly the same composition, being composed of the same substances in the same proportion. hence the change from one of these substances into another is a physical change. many other substances may, under suitable conditions, be changed from solids into liquids, or from liquids into gases, without change in composition. thus butter and wax will melt when heated; alcohol and gasoline will evaporate when exposed to the air. _the three states--solid, liquid, and gas--are called the three physical states of matter._ ~physical and chemical properties.~ many properties of a substance can be noted without causing the substance to undergo chemical change, and are therefore called its _physical properties_. among these are its physical state, color, odor, taste, size, shape, weight. other properties are only discovered when the substance undergoes chemical change. these are called its _chemical properties_. thus we find that coal burns in air, gunpowder explodes when ignited, milk sours when exposed to air. ~definition of physics and chemistry.~ it is now possible to make a general distinction between physics and chemistry. definition: _physics is the science which deals with those changes in matter which do not involve a change in composition._ definition: _chemistry is the science which deals with those changes in matter which do involve a change in composition._ ~two factors in all changes.~ in all the changes which matter can undergo, whether physical or chemical, two factors must be taken into account, namely, _energy_ and _matter_. ~energy.~ it is a familiar fact that certain bodies have the power to do work. thus water falling from a height upon a water wheel turns the wheel and in this way does the work of the mills. magnetized iron attracts iron to itself and the motion of the iron as it moves towards the magnet can be made to do work. when coal is burned it causes the engine to move and transports the loaded cars from place to place. when a body has this power to do work it is said to possess energy. ~law of conservation of energy.~ careful experiments have shown that when one body parts with its energy the energy is not destroyed but is transferred to another body or system of bodies. just as energy cannot be destroyed, neither can it be created. if one body gains a certain amount of energy, some other body has lost an equivalent amount. these facts are summed up in the law of conservation of energy which may be stated thus: _while energy can be changed from one form into another, it cannot be created or destroyed._ ~transformations of energy.~ although energy can neither be created nor destroyed, it is evident that it may assume many different forms. thus the falling water may turn the electric generator and produce a current of electricity. the energy lost by the falling water is thus transformed into the energy of the electric current. this in turn may be changed into the energy of motion, as when the current is used for propelling the cars, or into the energy of heat and light, as when it is used for heating and lighting the cars. again, the energy of coal may be converted into energy of heat and subsequently of motion, as when it is used as a fuel in steam engines. since the energy possessed by coal only becomes available when the coal is made to undergo a chemical change, it is sometimes called _chemical energy_. it is this form of energy in which we are especially interested in the study of chemistry. ~matter.~ matter may be defined as that which occupies space and possesses weight. like energy, matter may be changed oftentimes from one form into another; and since in these transformations all the other physical properties of a substance save weight are likely to change, the inquiry arises, does the weight also change? much careful experimenting has shown that it does not. the weight of the products formed in any change in matter always equals the weight of the substances undergoing change. ~law of conservation of matter.~ the important truth just stated is frequently referred to as the law of conservation of matter, and this law may be briefly stated thus: _matter can neither be created nor destroyed, though it can be changed from one form into another._ ~classification of matter.~ at first sight there appears to be no limit to the varieties of matter of which the world is made. for convenience in study we may classify all these varieties under three heads, namely, _mechanical mixtures_, _chemical compounds_, and _elements_. [illustration: fig. ] ~mechanical mixtures.~ if equal bulks of common salt and iron filings are thoroughly mixed together, a product is obtained which, judging by its appearance, is a new substance. if it is examined more closely, however, it will be seen to be merely a mixture of the salt and iron, each of which substances retains its own peculiar properties. the mixture tastes just like salt; the iron particles can be seen and their gritty character detected. a magnet rubbed in the mixture draws out the iron just as if the salt were not there. on the other hand, the salt can be separated from the iron quite easily. thus, if several grams of the mixture are placed in a test tube, and the tube half filled with water and thoroughly shaken, the salt dissolves in the water. the iron particles can then be filtered from the liquid by pouring the entire mixture upon a piece of filter paper folded so as to fit into the interior of a funnel (fig. ). the paper retains the solid but allows the clear liquid, known as the _filtrate_, to drain through. the iron particles left upon the filter paper will be found to be identical with the original iron. the salt can be recovered from the filtrate by evaporation of the water. to accomplish this the filtrate is poured into a small evaporating dish and gently heated (fig. ) until the water has disappeared, or _evaporated_. the solid left in the dish is identical in every way with the original salt. both the iron and the salt have thus been recovered in their original condition. it is evident that no new substance has been formed by rubbing the salt and iron together. the product is called a _mechanical mixture_. such mixtures are very common in nature, almost all minerals, sands, and soils being examples of this class of substances. it is at once apparent that there is no law regulating the composition of a mechanical mixture, and no two mixtures are likely to have exactly the same composition. the ingredients of a mechanical mixture can usually be separated by mechanical means, such as sifting, sorting, magnetic attraction, or by dissolving one constituent and leaving the other unchanged. [illustration: fig. ] definition: _a mechanical mixture is one in which the constituents retain their original properties, no chemical action having taken place when they were brought together._ ~chemical compounds.~ if iron filings and powdered sulphur are thoroughly ground together in a mortar, a yellowish-green substance results. it might easily be taken to be a new body; but as in the case of the iron and salt, the ingredients can readily be separated. a magnet draws out the iron. water does not dissolve the sulphur, but other liquids do, as, for example, the liquid called carbon disulphide. when the mixture is treated with carbon disulphide the iron is left unchanged, and the sulphur can be obtained again, after filtering off the iron, by evaporating the liquid. the substance is, therefore, a mechanical mixture. if now a new portion of the mixture is placed in a dry test tube and carefully heated in the flame of a bunsen burner, as shown in fig. , a striking change takes place. the mixture begins to glow at some point, the glow rapidly extending throughout the whole mass. if the test tube is now broken and the product examined, it will be found to be a hard, black, brittle substance, in no way recalling the iron or the sulphur. the magnet no longer attracts it; carbon disulphide will not dissolve sulphur from it. it is a new substance with new properties, resulting from the chemical union of iron and sulphur, and is called iron sulphide. such substances are called _chemical compounds_, and differ from mechanical mixtures in that the substances producing them lose their own characteristic properties. we shall see later that the two also differ in that the composition of a chemical compound never varies. [illustration: fig. ] definition: _a chemical compound is a substance the constituents of which have lost their own characteristic properties, and which cannot be separated save by a chemical change._ ~elements.~ it has been seen that iron sulphide is composed of two entirely different substances,--iron and sulphur. the question arises, do these substances in turn contain other substances, that is, are they also chemical compounds? chemists have tried in a great many ways to decompose them, but all their efforts have failed. substances which have resisted all efforts to decompose them into other substances are called _elements_. it is not always easy to prove that a given substance is really an element. some way as yet untried may be successful in decomposing it into other simpler forms of matter, and the supposed element will then prove to be a compound. water, lime, and many other familiar compounds were at one time thought to be elements. definition: _an element is a substance which cannot be separated into simpler substances by any known means._ ~kinds of matter.~ while matter has been grouped in three classes for the purpose of study, it will be apparent that there are really but two distinct kinds of matter, namely, compounds and elements. a mechanical mixture is not a third distinct kind of matter, but is made up of varying quantities of either compounds or elements or both. ~alchemy.~ in olden times it was thought that some way could be found to change one element into another, and a great many efforts were made to accomplish this transformation. most of these efforts were directed toward changing the commoner metals into gold, and many fanciful ways for doing this were described. the chemists of that time were called _alchemists_, and the art which they practiced was called _alchemy_. the alchemists gradually became convinced that the only way common metals could be changed into gold was by the wonderful power of a magic substance which they called the _philosopher's stone_, which would accomplish this transformation by its mere touch and would in addition give perpetual youth to its fortunate possessor. no one has ever found such a stone, and no one has succeeded in changing one metal into another. ~number of elements.~ the number of substances now considered to be elements is not large--about eighty in all. many of these are rare, and very few of them make any large fraction of the materials in the earth's crust. clarke gives the following estimate of the composition of the earth's crust: oxygen . % calcium . % silicon . magnesium . aluminium . sodium . iron . potassium . other elements . % a complete list of the elements is given in the appendix. in this list the more common of the elements are marked with an asterisk. it is not necessary to study more than a third of the total number of elements to gain a very good knowledge of chemistry. ~physical state of the elements.~ about ten of the elements are gases at ordinary temperatures. two--mercury and bromine--are liquids. the others are all solids, though their melting points vary through wide limits, from cæsium which melts at ° to elements which do not melt save in the intense heat of the electric furnace. ~occurrence of the elements.~ comparatively few of the elements occur as uncombined substances in nature, most of them being found in the form of chemical compounds. when an element does occur by itself, as is the case with gold, we say that it occurs in the _free state_ or _native_; when it is combined with other substances in the form of compounds, we say that it occurs in the _combined state_, or _in combination_. in the latter case there is usually little about the compound to suggest that the element is present in it; for we have seen that elements lose their own peculiar properties when they enter into combination with other elements. it would never be suspected, for example, that the reddish, earthy-looking iron ore contains iron. ~names of elements.~ the names given to the elements have been selected in a great many different ways. ( ) some names are very old and their original meaning is obscure. such names are iron, gold, and copper. ( ) many names indicate some striking physical property of the element. the name bromine, for example, is derived from a greek word meaning a stench, referring to the extremely unpleasant odor of the substance. the name iodine comes from a word meaning violet, alluding to the beautiful color of iodine vapor. ( ) some names indicate prominent chemical properties of the elements. thus, nitrogen means the producer of niter, nitrogen being a constituent of niter or saltpeter. hydrogen means water former, signifying its presence in water. argon means lazy or inert, the element being so named because of its inactivity. ( ) other elements are named from countries or localities, as germanium and scandium. ~symbols.~ in indicating the elements found in compounds it is inconvenient to use such long names, and hence chemists have adopted a system of abbreviations. these abbreviations are known as _symbols_, each element having a distinctive symbol. ( ) sometimes the initial letter of the name will suffice to indicate the element. thus i stands for iodine, c for carbon. ( ) usually it is necessary to add some other characteristic letter to the symbol, since several names may begin with the same letter. thus c stands for carbon, cl for chlorine, cd for cadmium, ce for cerium, cb for columbium. ( ) sometimes the symbol is an abbreviation of the old latin name. in this way fe (ferrum) indicates iron, cu (cuprum), copper, au (aurum), gold. the symbols are included in the list of elements given in the appendix. they will become familiar through constant use. ~chemical affinity the cause of chemical combination.~ the agency which causes substances to combine and which holds them together when combined is called _chemical affinity_. the experiments described in this chapter, however, show that heat is often necessary to bring about chemical action. the distinction between the cause producing chemical action and the circumstances favoring it must be clearly made. chemical affinity is always the cause of chemical union. many agencies may make it possible for chemical affinity to act by overcoming circumstances which stand in its way. among these agencies are heat, light, and electricity. as a rule, solution also promotes action between two substances. sometimes these agencies may overcome chemical attraction and so occasion the decomposition of a compound. exercises . to what class of changes do the following belong? (a) the melting of ice; (b) the souring of milk; (c) the burning of a candle; (d) the explosion of gunpowder; (e) the corrosion of metals. what test question must be applied in each of the above cases? . give two additional examples (a) of chemical changes; (b) of physical changes. . is a chemical change always accompanied by a physical change? is a physical change always accompanied by a chemical change? . give two or more characteristics of a chemical change. . (a) when a given weight of water freezes, does it absorb or evolve heat? (b) when the resulting ice melts, is the total heat change the same or different from that of freezing? . give three examples of each of the following: (a) mechanical mixtures; (b) chemical compounds; (c) elements. . give the derivation of the names of the following elements: thorium, gallium, selenium, uranium. (consult dictionary.) . give examples of chemical changes which are produced through the agency of heat; of light; of electricity. chapter ii oxygen ~history.~ the discovery of oxygen is generally attributed to the english chemist priestley, who in obtained the element by heating a compound of mercury and oxygen, known as red oxide of mercury. it is probable, however, that the swedish chemist scheele had previously obtained it, although an account of his experiments was not published until . the name oxygen signifies acid former. it was given to the element by the french chemist lavoisier, since he believed that all acids owe their characteristic properties to the presence of oxygen. this view we now know to be incorrect. ~occurrence.~ oxygen is by far the most abundant of all the elements. it occurs both in the free and in the combined state. in the free state it occurs in the air, volumes of dry air containing about volumes of oxygen. in the combined state it forms eight ninths of water and nearly one half of the rocks composing the earth's crust. it is also an important constituent of the compounds which compose plant and animal tissues; for example, about % by weight of the human body is oxygen. ~preparation.~ although oxygen occurs in the free state in the atmosphere, its separation from the nitrogen and other gases with which it is mixed is such a difficult matter that in the laboratory it has been found more convenient to prepare it from its compounds. the most important of the laboratory methods are the following: . _preparation from water._ water is a compound, consisting of . % hydrogen and . % oxygen. it is easily separated into these constituents by passing an electric current through it under suitable conditions. the process will be described in the chapter on water. while this method of preparation is a simple one, it is not economical. . _preparation from mercuric oxide._ this method is of interest, since it is the one which led to the discovery of oxygen. the oxide, which consists of . % oxygen and . % mercury, is placed in a small, glass test tube and heated. the compound is in this way decomposed into mercury which collects on the sides of the glass tube, forming a silvery mirror, and oxygen which, being a gas, escapes from the tube. the presence of the oxygen is shown by lighting the end of a splint, extinguishing the flame and bringing the glowing coal into the mouth of the tube. the oxygen causes the glowing coal to burst into a flame. in a similar way oxygen may be obtained from its compounds with some of the other elements. thus manganese dioxide, a black compound of manganese and oxygen, when heated to about °, loses one third of its oxygen, while barium dioxide, when heated, loses one half of its oxygen. . _preparation from potassium chlorate (usual laboratory method)._ potassium chlorate is a white solid which consists of . % potassium, . % chlorine, and . % oxygen. when heated it undergoes a series of changes in which all the oxygen is finally set free, leaving a compound of potassium and chlorine called potassium chloride. the change may be represented as follows: /potassium\ | | (potassium / potassium \ (potassium { chlorine } = { } + oxygen | | chlorate) \ chlorine / chloride) \oxygen / [illustration: joseph priestley (english) ( - ) school-teacher, theologian, philosopher, scientist; friend of benjamin franklin; discoverer of oxygen; defender of the phlogiston theory; the first to use mercury in a pneumatic trough, by which means he first isolated in gaseous form hydrochloric acid, sulphur dioxide, and ammonia] the evolution of the oxygen begins at about °. it has been found, however, that if the potassium chlorate is mixed with about one fourth its weight of manganese dioxide, the oxygen is given off at a much lower temperature. just how the manganese dioxide brings about this result is not definitely known. the amount of oxygen obtained from a given weight of potassium chlorate is exactly the same whether the manganese dioxide is present or not. so far as can be detected the manganese dioxide undergoes no change. [illustration: fig. ] ~directions for preparing oxygen.~ the manner of preparing oxygen from potassium chlorate is illustrated in the accompanying diagram (fig. ). a mixture consisting of one part of manganese dioxide and four parts of potassium chlorate is placed in the flask a and gently heated. the oxygen is evolved and escapes through the tube b. it is collected by bringing over the end of the tube the mouth of a bottle completely filled with water and inverted in a vessel of water, as shown in the figure. the gas rises in the bottle and displaces the water. in the preparation of large quantities of oxygen, a copper retort (fig. ) is often substituted for the glass flask. [illustration: fig. ] in the preparation of oxygen from potassium chlorate and manganese dioxide, the materials used must be pure, otherwise a violent explosion may occur. the purity of the materials is tested by heating a small amount of the mixture in a test tube. ~the collection of gases.~ the method used for collecting oxygen illustrates the general method used for collecting such gases as are insoluble in water or nearly so. the vessel c (fig. ), containing the water in which the bottles are inverted, is called a _pneumatic trough._ ~commercial methods of preparation.~ oxygen can now be purchased stored under great pressure in strong steel cylinders (fig. ). it is prepared either by heating a mixture of potassium chlorate and manganese dioxide, or by separating it from the nitrogen and other gases with which it is mixed in the atmosphere. the methods employed for effecting this separation will be described in subsequent chapters. [illustration: fig. ] ~physical properties.~ oxygen is a colorless, odorless, tasteless gas, slightly heavier than air. one liter of it, measured at a temperature of ° and under a pressure of one atmosphere, weighs . g., while under similar conditions one liter of air weighs . g. it is but slightly soluble in water. oxygen, like other gases, may be liquefied by applying very great pressure to the highly cooled gas. when the pressure is removed the liquid oxygen passes again into the gaseous state, since its boiling point under ordinary atmospheric pressure is - . °. ~chemical properties.~ at ordinary temperatures oxygen is not very active chemically. most substances are either not at all affected by it, or the action is so slow as to escape notice. at higher temperatures, however, it is very active, and unites directly with most of the elements. this activity may be shown by heating various substances until just ignited and then bringing them into vessels of the gas, when they will burn with great brilliancy. thus a glowing splint introduced into a jar of oxygen bursts into flame. sulphur burns in the air with a very weak flame and feeble light; in oxygen, however, the flame is increased in size and brightness. substances which readily burn in air, such as phosphorus, burn in oxygen with dazzling brilliancy. even substances which burn in air with great difficulty, such as iron, readily burn in oxygen. the burning of a substance in oxygen is due to the rapid combination of the substance or of the elements composing it with the oxygen. thus, when sulphur burns both the oxygen and sulphur disappear as such and there is formed a compound of the two, which is an invisible gas, having the characteristic odor of burning sulphur. similarly, phosphorus on burning forms a white solid compound of phosphorus and oxygen, while iron forms a reddish-black compound of iron and oxygen. ~oxidation.~ the term _oxidation_ is applied to the chemical change which takes place when a substance, or one of its constituent parts, combines with oxygen. this process may take place rapidly, as in the burning of phosphorus, or slowly, as in the oxidation (or rusting) of iron when exposed to the air. it is always accompanied by the liberation of heat. the amount of heat liberated by the oxidation of a definite weight of any given substance is always the same, being entirely independent of the rapidity of the process. if the oxidation takes place slowly, the heat is generated so slowly that it is difficult to detect it. if the oxidation takes place rapidly, however, the heat is generated in such a short interval of time that the substance may become white hot or burst into a flame. ~combustion; kindling temperature.~ when oxidation takes place so rapidly that the heat generated is sufficient to cause the substance to glow or burst into a flame the process is called _combustion_. in order that any substance may undergo combustion, it is necessary that it should be heated to a certain temperature, known as the _kindling temperature._ this temperature varies widely for different bodies, but is always definite for the same body. thus the kindling temperature of phosphorus is far lower than that of iron, but is definite for each. when any portion of a substance is heated until it begins to burn the combustion will continue without the further application of heat, provided the heat generated by the process is sufficient to bring other parts of the substance to the kindling temperature. on the other hand, if the heat generated is not sufficient to maintain the kindling temperature, combustion ceases. ~oxides.~ the compounds formed by the oxidation of any element are called _oxides_. thus in the combustion of sulphur, phosphorus, and iron, the compounds formed are called respectively oxide of sulphur, oxide of phosphorus, and oxide of iron. in general, then, _an oxide is a compound of oxygen with another element_. a great many substances of this class are known; in fact, the oxides of all the common elements have been prepared, with the exception of those of fluorine and bromine. some of these are familiar compounds. water, for example, is an oxide of hydrogen, and lime an oxide of the metal calcium. ~products of combustion.~ the particular oxides formed by the combustion of any substance are called _products of combustion_ of that substance. thus oxide of sulphur is the product of the combustion of sulphur; oxide of iron is the product of the combustion of iron. it is evident that the products of the combustion of any substance must weigh more than the original substance, the increase in weight corresponding to the amount of oxygen taken up in the act of combustion. for example, when iron burns the oxide of iron formed weighs more than the original iron. in some cases the products of combustion are invisible gases, so that the substance undergoing combustion is apparently destroyed. thus, when a candle burns it is consumed, and so far as the eye can judge nothing is formed during combustion. that invisible gases are formed, however, and that the weight of these is greater than the weight of the candle may be shown by the following experiment. [illustration: fig. ] a lamp chimney is filled with sticks of the compound known as sodium hydroxide (caustic soda), and suspended from the beam of the balance, as shown in fig. . a piece of candle is placed on the balance pan so that the wick comes just below the chimney, and the balance is brought to a level by adding weights to the other pan. the candle is then lighted. the products formed pass up through the chimney and are absorbed by the sodium hydroxide. although the candle burns away, the pan upon which it rests slowly sinks, showing that the combustion is attended by an increase in weight. ~combustion in air and in oxygen.~ combustion in air and in oxygen differs only in rapidity, the products formed being exactly the same. that the process should take place less rapidly in the former is readily understood, for the air is only about one fifth oxygen, the remaining four fifths being inert gases. not only is less oxygen available, but much of the heat is absorbed in raising the temperature of the inert gases surrounding the substance undergoing combustion, and the temperature reached in the combustion is therefore less. ~phlogiston theory of combustion.~ the french chemist lavoisier ( - ), who gave to oxygen its name was the first to show that combustion is due to union with oxygen. previous to his time combustion was supposed to be due to the presence of a substance or principle called _phlogiston_. one substance was thought to be more combustible than another because it contained more phlogiston. coal, for example, was thought to be very rich in phlogiston. the ashes left after combustion would not burn because all the phlogiston had escaped. if the phlogiston could be restored in any way, the substance would then become combustible again. although this view seems absurd to us in the light of our present knowledge, it formerly had general acceptance. the discovery of oxygen led lavoisier to investigate the subject, and through his experiments he arrived at the true explanation of combustion. the discovery of oxygen together with the part it plays in combustion is generally regarded as the most important discovery in the history of chemistry. it marked the dawn of a new period in the growth of the science. ~combustion in the broad sense.~ according to the definition given above, the presence of oxygen is necessary for combustion. the term is sometimes used, however, in a broader sense to designate any chemical change attended by the evolution of heat and light. thus iron and sulphur, or hydrogen and chlorine under certain conditions, will combine so rapidly that light is evolved, and the action is called a combustion. whenever combustion takes place in the air, however, the process is one of oxidation. ~spontaneous combustion.~ the temperature reached in a given chemical action, such as oxidation, depends upon the rate at which the reaction takes place. this rate is usually increased by raising the temperature of the substances taking part in the action. when a slow oxidation takes place under such conditions that the heat generated is not lost by being conducted away, the temperature of the substance undergoing oxidation is raised, and this in turn hastens the rate of oxidation. the rise in temperature may continue in this way until the kindling temperature of the substance is reached, when combustion begins. combustion occurring in this way is called _spontaneous combustion_. certain oils, such as the linseed oil used in paints, slowly undergo oxidation at ordinary temperatures, and not infrequently the origin of fires has been traced to the spontaneous combustion of oily rags. the spontaneous combustion of hay has been known to set barns on fire. heaps of coal have been found to be on fire when spontaneous combustion offered the only possible explanation. ~importance of oxygen.~ . oxygen is essential to life. among living organisms only certain minute forms of plant life can exist without it. in the process of respiration the air is taken into the lungs where a certain amount of oxygen is absorbed by the blood. it is then carried to all parts of the body, oxidizing the worn-out tissues and changing them into substances which may readily be eliminated from the body. the heat generated by this oxidation is the source of the heat of the body. the small amount of oxygen which water dissolves from the air supports all the varied forms of aquatic animals. . oxygen is also essential to decay. the process of decay is really a kind of oxidation, but it will only take place in the presence of certain minute forms of life known as bacteria. just how these assist in the oxidation is not known. by this process the dead products of animal and vegetable life which collect on the surface of the earth are slowly oxidized and so converted into harmless substances. in this way oxygen acts as a great purifying agent. . oxygen is also used in the treatment of certain diseases in which the patient is unable to inhale sufficient air to supply the necessary amount of oxygen. ozone ~preparation.~ when electric sparks are passed through oxygen or air a small percentage of the oxygen is converted into a substance called _ozone_, which differs greatly from oxygen in its properties. the same change can also be brought about by certain chemical processes. thus, if some pieces of phosphorus are placed in a bottle and partially covered with water, the presence of ozone may soon be detected in the air contained in the bottle. the conversion of oxygen into ozone is attended by a change in volume, volumes of oxygen forming volumes of ozone. if the resulting ozone is heated to about °, the reverse change takes place, the volumes of ozone being changed back into volumes of oxygen. it is possible that traces of ozone exist in the atmosphere, although its presence there has not been definitely proved, the tests formerly used for its detection having been shown to be unreliable. ~properties.~ as commonly prepared, ozone is mixed with a large excess of oxygen. it is possible, however, to separate the ozone and thus obtain it in pure form. the gas so obtained has the characteristic odor noticed about electrical machines when in operation. by subjecting it to great pressure and a low temperature, the gas condenses to a bluish liquid, boiling at - °. when unmixed with other gases ozone is very explosive, changing back into oxygen with the liberation of heat. its chemical properties are similar to those of oxygen except that it is far more active. air or oxygen containing a small amount of ozone is now used in place of oxygen in certain manufacturing processes. ~the difference between oxygen and ozone.~ experiments show that in changing oxygen into ozone no other kind of matter is either added to the oxygen or withdrawn from it. the question arises then, how can we account for the difference in their properties? it must be remembered that in all changes we have to take into account _energy_ as well as _matter_. by changing the amount of energy in a substance we change its properties. that oxygen and ozone contain different amounts of energy may be shown in a number of ways; for example, by the fact that the conversion of ozone into oxygen is attended by the liberation of heat. the passage of the electric sparks through oxygen has in some way changed the energy content of the element and thus it has acquired new properties. _oxygen and ozone must, therefore, be regarded as identical so far as the kind of matter of which they are composed is concerned. their different properties are due to their different energy contents._ ~allotropic states or forms of matter.~ other elements besides oxygen may exist in more than one form. these different forms of the same element are called _allotropic states_ or _forms_ of the element. these forms differ not only in physical properties but also in their energy contents. elements often exist in a variety of forms which look quite different. these differences may be due to accidental causes, such as the size or shape of the particles or the way in which the element was prepared. only such forms, however, as have different energy contents are properly called allotropic forms. measurement of gas volumes ~standard conditions.~ it is a well-known fact that the volume occupied by a definite weight of any gas can be altered by changing the temperature of the gas or the pressure to which it is subjected. in measuring the volume of gases it is therefore necessary, for the sake of accuracy, to adopt some standard conditions of temperature and pressure. the conditions agreed upon are ( ) a temperature of °, and ( ) a pressure equal to the average pressure exerted by the atmosphere at the sea level, that is, . g. per square centimeter. these conditions of temperature and pressure are known as the _standard conditions_, and when the volume of a gas is given it is understood that the measurement was made under these conditions, unless it is expressly stated otherwise. for example, the weight of a liter of oxygen has been given as . g. this means that one liter of oxygen, measured at a temperature of ° and under a pressure of . g. per square centimeter, weighs . g. the conditions which prevail in the laboratory are never the standard conditions. it becomes necessary, therefore, to find a way to calculate the volume which a gas will occupy under standard conditions from the volume which it occupies under any other conditions. this may be done in accordance with the following laws. ~law of charles.~ this law expresses the effect which a change in the temperature of a gas has upon its volume. it may be stated as follows: _for every degree the temperature of a gas rises above zero the volume of the gas is increased by / of the volume which it occupies at zero; likewise for every degree the temperature of the gas falls below zero the volume of the gas is decreased by / of the volume which it occupies at zero, provided in both cases that the pressure to which the gas is subjected remains constant._ if v represents the volume of gas at °, then the volume at ° will be v + / v; at ° it will be v + / v; or, in general, the volume v, at the temperature t, will be expressed by the formula ( ) v = v + t/ v, or ( ) v = v( + (t/ )). since / = . , the formula may be written ( ) v = v( + . t). since the value of v (volume under standard conditions) is the one usually sought, it is convenient to transpose the equation to the following form: ( ) v = v/( + . t). the following problem will serve as an illustration of the application of this equation. the volume of a gas at ° is cc.; find the volume it will occupy at °, the pressure remaining constant. in this case, v = cc. and t = . by substituting these values, equation ( ) becomes v = /( + . × ) = . cc. ~law of boyle.~ this law expresses the relation between the volume occupied by a gas and the pressure to which it is subjected. it may be stated as follows: _the volume of a gas is inversely proportional to the pressure under which it is measured, provided the temperature of the gas remains constant._ if v represents the volume when subjected to a pressure p and v represents its volume when the pressure is changed to p, then, in accordance with the above law, v : v :: p : p, or vp = vp. in other words, for a given weight of a gas the product of the numbers representing its volume and the pressure to which it is subjected is a constant. since the pressure of the atmosphere at any point is indicated by the barometric reading, it is convenient in the solution of the problems to substitute the latter for the pressure measured in grams per square centimeter. the average reading of the barometer at the sea level is mm., which corresponds to a pressure of . g. per square centimeter. the following problem will serve as an illustration of the application of boyle's law. a gas occupies a volume of cc. in a laboratory where the barometric reading is mm. what volume would it occupy if the atmospheric pressure changed so that the reading became mm.? substituting the values in the equation vp = vp, we have × = v × , or v = . cc. ~variations in the volume of a gas due to changes both in temperature and pressure.~ inasmuch as corrections must be made as a rule for both temperature and pressure, it is convenient to combine the equations given above for the corrections for each, so that the two corrections may be made in one operation. the following equation is thus obtained: ( ) v_{s} = vp/( ( + . t)), in which v_{s} represents the volume of a gas under standard conditions and v, p, and t the volume, pressure, and temperature respectively at which the gas was actually measured. the following problem will serve to illustrate the application of this equation. a gas having a temperature of ° occupies a volume of cc. when subjected to a pressure indicated by a barometric reading of mm. what volume would this gas occupy under standard conditions? in this problem v = , p = , and t = . substituting these values in the above equation, we get v_{s} = ( × )/( ( + . × )) = . cc. [illustration: fig. ] ~variations in the volume of a gas due to the pressure of aqueous vapor.~ in many cases gases are collected over water, as explained under the preparation of oxygen. in such cases there is present in the gas a certain amount of water vapor. this vapor exerts a definite pressure, which acts in opposition to the atmospheric pressure and which therefore must be subtracted from the latter in determining the effective pressure upon the gas. thus, suppose we wish to determine the pressure to which the gas in tube a (fig. ) is subjected. the tube is raised or lowered until the level of the water inside and outside the tube is the same. the atmosphere presses down upon the surface of the water (as indicated by the arrows), thus forcing the water upward within the tube with a pressure equal to the atmospheric pressure. the full force of this upward pressure, however, is not spent in compressing the gas within the tube, for since it is collected over water it contains a certain amount of water vapor. this water vapor exerts a pressure (as indicated by the arrow within the tube) in opposition to the upward pressure. it is plain, therefore, that the effective pressure upon the gas is equal to the atmospheric pressure less the pressure exerted by the aqueous vapor. the pressure exerted by the aqueous vapor increases with the temperature. the figures representing the extent of this pressure (often called the _tension of aqueous vapor_) are given in the appendix. they express the pressure or tension in millimeters of mercury, just as the atmospheric pressure is expressed in millimeters of mercury. representing the pressure of the aqueous vapor by a, formula ( ) becomes ( ) v_{s} = v(p - a)/( ( + . t)). the following problem will serve to illustrate the method of applying the correction for the pressure of the aqueous vapor. the volume of a gas measured over water in a laboratory where the temperature is ° and the barometric reading is mm. is cc. what volume would this occupy under standard conditions? the pressure exerted by the aqueous vapor at ° (see table in appendix) is equal to the pressure exerted by a column of mercury . mm. in height. substituting the values of v, t, p, and a in formula ( ), we have ( ) v_{s} = ( - . )/( ( + . × )) = . cc. ~adjustment of tubes before reading gas volumes.~ in measuring the volumes of gases collected in graduated tubes or other receivers, over a liquid as illustrated in fig. , the reading should be taken after raising or lowering the tube containing the gas until the level of the liquid inside and outside the tube is the same; for it is only under these conditions that the upward pressure within the tube is the same as the atmospheric pressure. exercises . what is the meaning of the following words? phlogiston, ozone, phosphorus. (consult dictionary.) . can combustion take place without the emission of light? . is the evolution of light always produced by combustion? . (a) what weight of oxygen can be obtained from g. of water? (b) what volume would this occupy under standard conditions? . (a) what weight of oxygen can be obtained from g. of mercuric oxide? (b) what volume would this occupy under standard conditions? . what weight of each of the following compounds is necessary to prepare l. of oxygen? (a) water; (b) mercuric oxide; (c) potassium chlorate. . reduce the following volumes to °, the pressure remaining constant: (a) cc. at °; (b) cc. at °. . a certain volume of gas is measured when the temperature is °. at what temperature will its volume be doubled? . reduce the following volumes to standard conditions of pressure, the temperature remaining constant: (a) cc. at mm.; (b) l. at mm. . what is the weight of l. of oxygen when the pressure is mm. and the temperature °? . reduce the following volumes to standard conditions of temperature and pressure: (a) cc. at ° and mm; (b) cc. at ° and mm. . what weight of potassium chlorate is necessary to prepare l. of oxygen at ° and mm.? . assuming the cost of potassium chlorate and mercuric oxide to be respectively $ . and $ . per kilogram, calculate the cost of materials necessary for the preparation of l. of oxygen from each of the above compounds. . g. of potassium chlorate and g. of manganese dioxide were heated in the preparation of oxygen. what products were left in the flask, and how much of each was present? chapter iii hydrogen ~historical.~ the element hydrogen was first clearly recognized as a distinct substance by the english investigator cavendish, who in obtained it in a pure state, and showed it to be different from the other inflammable airs or gases which had long been known. lavoisier gave it the name hydrogen, signifying water former, since it had been found to be a constituent of water. ~occurrence.~ in the free state hydrogen is found in the atmosphere, but only in traces. in the combined state it is widely distributed, being a constituent of water as well as of all living organisms, and the products derived from them, such as starch and sugar. about % of the human body is hydrogen. combined with carbon, it forms the substances which constitute petroleum and natural gas. it is an interesting fact that while hydrogen in the free state occurs only in traces on the earth, it occurs in enormous quantities in the gaseous matter surrounding the sun and certain other stars. ~preparation from water.~ hydrogen can be prepared from water by several methods, the most important of which are the following. . _by the electric current._ as has been indicated in the preparation of oxygen, water is easily separated into its constituents, hydrogen and oxygen, by passing an electric current through it under certain conditions. . _by the action of certain metals._ when brought into contact with certain metals under appropriate conditions, water gives up a portion or the whole of its hydrogen, its place being taken by the metal. in the case of a few of the metals this change occurs at ordinary temperatures. thus, if a bit of sodium is thrown on water, an action is seen to take place at once, sufficient heat being generated to melt the sodium, which runs about on the surface of the water. the change which takes place consists in the displacement of one half of the hydrogen of the water by the sodium, and may be represented as follows: _ _ _ _ | hydrogen | | sodium | sodium + | hydrogen |(water) = | hydrogen |(sodium hydroxide) + hydrogen |_oxygen _| |_oxygen _| the sodium hydroxide formed is a white solid which remains dissolved in the undecomposed water, and may be obtained by evaporating the solution to dryness. the hydrogen is evolved as a gas and may be collected by suitable apparatus. other metals, such as magnesium and iron, decompose water rapidly, but only at higher temperatures. when steam is passed over hot iron, for example, the iron combines with the oxygen of the steam, thus displacing the hydrogen. experiments show that the change may be represented as follows: _ _ | hydrogen | _ _ _ _ iron + | hydrogen |(water) = | iron |(iron oxide) + | hydrogen | |_oxygen _| |_oxygen _| |_hydrogen_| the iron oxide formed is a reddish-black compound, identical with that obtained by the combustion of iron in oxygen. ~directions for preparing hydrogen by the action of steam on iron.~ the apparatus used in the preparation of hydrogen from iron and steam is shown in fig. . a porcelain or iron tube b, about cm. in length and cm. or cm. in diameter, is partially filled with fine iron wire or tacks and connected as shown in the figure. the tube b is heated, slowly at first, until the iron is red-hot. steam is then conducted through the tube by boiling the water in the flask a. the hot iron combines with the oxygen in the steam, setting free the hydrogen, which is collected over water. the gas which first passes over is mixed with the air previously contained in the flask and tube, and is allowed to escape, _since a mixture of hydrogen with oxygen or air explodes violently when brought in contact with a flame_. it is evident that the flask a must be disconnected from the tube before the heat is withdrawn. that the gas obtained is different from air and oxygen may be shown by holding a bottle of it mouth downward and bringing a lighted splint into it. the hydrogen is ignited and burns with an almost colorless flame. [illustration fig. ] ~preparation from acids~ (_usual laboratory method_). while hydrogen can be prepared from water, either by the action of the electric current or by the action of certain metals, these methods are not economical and are therefore but little used. in the laboratory hydrogen is generally prepared from compounds known as acids, all of which contain hydrogen. when acids are brought in contact with certain metals, the metals dissolve and set free the hydrogen of the acid. although this reaction is a quite general one, it has been found most convenient in preparing hydrogen by this method to use either zinc or iron as the metal and either hydrochloric or sulphuric acid as the acid. hydrochloric acid is a compound consisting of . % hydrogen and . % chlorine, while sulphuric acid consists of . % hydrogen, . % sulphur, and . % oxygen. the changes which take place in the preparation of hydrogen from zinc and sulphuric acid (diluted with water) may be represented as follows: _ _ _ _ | hydrogen |(sulphuric | zinc |(zinc zinc + | sulphur | acid) = | sulphur | sulphate) + hydrogen |_oxygen _| |_oxygen _| in other words, the zinc has taken the place of the hydrogen in sulphuric acid. the resulting compound contains zinc, sulphur, and oxygen, and is known as zinc sulphate. this remains dissolved in the water present in the acid. it may be obtained in the form of a white solid by evaporating the liquid left after the metal has passed into solution. when zinc and hydrochloric acid are used the following changes take place: _ _ _ _ | hydrogen |(hydrochloric | zinc |(zinc zinc + |_chlorine_| acid) = |_chlorine_| chloride) + hydrogen when iron is used the changes which take place are exactly similar to those just given for zinc. [illustration fig. .] ~directions for preparing hydrogen from acids.~ the preparation of hydrogen from acids is carried out in the laboratory as follows: the metal is placed in a flask or wide-mouthed bottle a (fig. ) and the acid is added slowly through the funnel tube b. the metal dissolves in the acid, while the hydrogen which is liberated escapes through the exit tube c and is collected over water. it is evident that the hydrogen which passes over first is mixed with the air from the bottle a. hence care must be taken not to bring a flame near the exit tube, since, as has been stated previously, such a mixture explodes with great violence when brought in contact with a flame. ~precautions.~ both sulphuric acid and zinc, if impure, are likely to contain small amounts of arsenic. such materials should not be used in preparing hydrogen, since the arsenic present combines with a portion of the hydrogen to form a very poisonous gas known as arsine. on the other hand, chemically pure sulphuric acid, i.e. sulphuric acid that is entirely free from impurities, will not act upon chemically pure zinc. the reaction may be started, however, by the addition of a few drops of a solution of copper sulphate or platinum tetrachloride. ~physical properties.~ hydrogen is similar to oxygen in that it is a colorless, tasteless, odorless gas. it is characterized by its extreme lightness, being the lightest of all known substances. one liter of the gas weighs only . g. on comparing this weight with that of an equal volume of oxygen, viz., . g., the latter is found to be . times as heavy as hydrogen. similarly, air is found to be . times as heavy as hydrogen. soap bubbles blown with hydrogen rapidly rise in the air. on account of its lightness it is possible to pour it upward from one bottle into another. thus, if the bottle a (fig. ) is filled with hydrogen, placed mouth downward by the side of bottle _b_, filled with air, and is then gradually inverted under b as indicated in the figure, the hydrogen will flow upward into bottle _b_, displacing the air. its presence in bottle b may then be shown by bringing a lighted splint to the mouth of the bottle, when the hydrogen will be ignited by the flame. it is evident, from this experiment, that in order to retain the gas in an open bottle the bottle must be placed mouth downward. [illustration fig. ] hydrogen is far more difficult to liquefy than any other gas, with the exception of helium, a rare element recently found to exist in the atmosphere. the english scientist dewar, however, in succeeded not only in obtaining hydrogen in liquid state but also as a solid. liquid hydrogen is colorless and has a density of only . . its boiling point under atmospheric pressure is - °. under diminished pressure the temperature has been reduced to - °. the solubility of hydrogen in water is very slight, being still less than that of oxygen. pure hydrogen produces no injurious results when inhaled. of course one could not live in an atmosphere of the gas, since oxygen is essential to respiration. ~chemical properties.~ at ordinary temperatures hydrogen is not an active element. a mixture of hydrogen and chlorine, however, will combine with explosive violence at ordinary temperature if exposed to the sunlight. the union can be brought about also by heating. the product formed in either case is hydrochloric acid. under suitable conditions hydrogen combines with nitrogen to form ammonia, and with sulphur to form the foul-smelling gas, hydrogen sulphide. the affinity of hydrogen for oxygen is so great that a mixture of hydrogen and oxygen or hydrogen and air explodes with great violence when heated to the kindling temperature (about °). nevertheless under proper conditions hydrogen may be made to burn quietly in either oxygen or air. the resulting hydrogen flame is almost colorless and is very hot. the combustion of the hydrogen is, of course, due to its union with oxygen. the product of the combustion is therefore a compound of hydrogen and oxygen. that this compound is water may be shown easily by experiment. [illustration fig. ] ~directions for burning hydrogen in air.~ the combustion of hydrogen in air may be carried out safely as follows: the hydrogen is generated in the bottle a (fig. ), is dried by conducting it through the tube x, filled with some substance (generally calcium chloride) which has a great attraction for moisture, and escapes through the tube t, the end of which is drawn out to a jet. the hydrogen first liberated mixes with the air contained in the generator. if a flame is brought near the jet before this mixture has all escaped, a violent and very dangerous explosion results, since the entire apparatus is filled with the explosive mixture. on the other hand, if the flame is not applied until all the air has been expelled, the hydrogen is ignited and burns quietly, since only the small amount of it which escapes from the jet can come in contact with the oxygen of the air at any one time. by holding a cold, dry bell jar or bottle over the flame, in the manner shown in the figure, the steam formed by the combustion of the hydrogen is condensed, the water collecting in drops on the sides of the jar. ~precautions.~ in order to avoid danger it is absolutely necessary to prove that the hydrogen is free from air before igniting it. this can be done by testing small amounts of the escaping gas. a convenient and safe method of doing this is to fill a test tube with the gas by inverting it over the jet. the hydrogen, on account of its lightness, collects in the tube, displacing the air. after holding it over the jet for a few moments in order that it may be filled with the gas, the tube is gently brought, mouth downward, to the flame of a burner placed not nearer than an arm's length from the jet. if the hydrogen is mixed with air a slight explosion occurs, but if pure it burns quietly in the tube. the operation is repeated until the gas burns quietly, when the tube is quickly brought back over the jet for an instant, whereby the escaping hydrogen is ignited by the flame in the tube. [illustration. fig. ] ~a mixture of hydrogen and oxygen is explosive.~ that a mixture of hydrogen and air is explosive may be shown safely as follows: a cork through which passes a short glass tube about cm. in diameter is fitted air-tight into the tubule of a bell jar of l. or l. capacity. (a thick glass bottle with bottom removed may be used.) the tube is closed with a small rubber stopper and the bell jar filled with hydrogen, the gas being collected over water. when entirely filled with the gas the jar is removed from the water and supported by blocks of wood in order to leave the bottom of the jar open, as shown in fig. . the stopper is now removed from the tube in the cork, and the hydrogen, which on account of its lightness escapes from the tube, is at once lighted. as the hydrogen escapes, the air flows in at the bottom of the jar and mixes with the remaining portion of the hydrogen, so that a mixture of the two soon forms, and a loud explosion results. the explosion is not dangerous, since the bottom of the jar is open, thus leaving room for the expansion of the hot gas. since air is only one fifth oxygen, the remainder being inert gases, it may readily be inferred that a mixture of hydrogen with pure oxygen would be far more explosive than a mixture of hydrogen with air. such mixtures should not be made except in small quantities and by experienced workers. ~hydrogen does not support combustion.~ while hydrogen is readily combustible, it is not a supporter of combustion. in other words, substances will not burn in it. this may be shown by bringing a lighted candle supported by a stiff wire into a bottle or cylinder of the pure gas, as shown in fig. . the hydrogen is ignited by the flame of the candle and burns at the mouth of the bottle, where it comes in contact with the oxygen in the air. when the candle is thrust up into the gas, its flame is extinguished on account of the absence of oxygen. if slowly withdrawn, the candle is relighted as it passes through the layer of burning hydrogen. [illustration: fig. ] [illustration: fig. ] ~reduction.~ on account of its great affinity for oxygen, hydrogen has the power of abstracting it from many of its compounds. thus, if a stream of hydrogen, dried by passing through the tube b (fig. ), filled with calcium chloride, is conducted through the tube c containing some copper oxide, heated to a moderate temperature, the hydrogen abstracts the oxygen from the copper oxide. the change may be represented as follows: hydrogen + {copper} {hydrogen} {oxygen}(copper oxide) = {oxygen }(water) + copper the water formed collects in the cold portions of the tube c near its end. in this experiment the copper oxide is said to undergo reduction. _reduction may therefore be defined as the process of withdrawing oxygen from a compound._ ~relation of reduction to oxidation.~ at the same time that the copper oxide is reduced it is clear that the hydrogen is oxidized, for it combines with the oxygen given up by the copper oxide. the two processes are therefore very closely related, and it usually happens that when one substance is oxidized some other substance is reduced. that substance which gives up its oxygen is called an _oxidizing agent_, while the substance which unites with the oxygen is called a _reducing agent_. ~the oxyhydrogen blowpipe.~ this is a form of apparatus used for burning hydrogen in pure oxygen. as has been previously stated, the flame produced by the combustion of hydrogen in the air is very hot. it is evident that if pure oxygen is substituted for air, the temperature reached will be much higher, since there are no inert gases to absorb the heat. the oxyhydrogen blowpipe, used to effect this combination, consists of a small tube placed within a larger one, as shown in fig. . [illustration: fig. ] the hydrogen, stored under pressure, generally in steel cylinders, is first passed through the outer tube and ignited at the open end of the tube. the oxygen from a similar cylinder is then conducted through the inner tube, and mixes with the hydrogen at the end of the tube. in order to produce the maximum heat, the hydrogen and oxygen must be admitted to the blowpipe in the exact proportion in which they combine, viz., volumes of hydrogen to of oxygen, or by weight, part of hydrogen to . parts of oxygen. the intensity of the heat may be shown by bringing into the flame pieces of metal such as iron wire or zinc. these burn with great brilliancy. even platinum, having a melting point of °, may be melted by the heat of the flame. while the oxyhydrogen flame is intensely hot, it is almost non-luminous. if directed against some infusible substance like ordinary lime (calcium oxide), the heat is so intense that the lime becomes incandescent and glows with a brilliant light. this is sometimes used as a source of light, under the name of _drummond_ or _lime light_. [illustration: fig. ] ~the blast lamp.~ a similar form of apparatus is commonly used in the laboratory as a source of heat under the name _blast lamp_ (fig. ). this differs from the oxyhydrogen blowpipe only in the size of the tubes. in place of the hydrogen and oxygen the more accessible coal gas and air are respectively used. the former is composed largely of a mixture of free hydrogen and gaseous compounds of carbon and hydrogen. while the temperature of the flame is not so high as that of the oxyhydrogen blowpipe, it nevertheless suffices for most chemical operations carried out in the laboratory. ~uses of hydrogen.~ on account of its cost, hydrogen is but little used for commercial purposes. it is sometimes used as a material for the inflation of balloons, but usually the much cheaper coal gas is substituted for it. even hot air is often used when the duration of ascension is very short. it has been used also as a source of heat and light in the oxyhydrogen blowpipe. where the electric current is available, however, this form of apparatus has been displaced almost entirely by the electric light and electric furnace, which are much more economical and more powerful sources of light and heat. exercises . will a definite weight of iron decompose an unlimited weight of steam? . why is oxygen passed through the inner tube of the oxyhydrogen blowpipe rather than the outer? . in fig. , will the flame remain at the mouth of the tube? . from fig. , suggest a way for determining experimentally the quantity of water formed in the reaction. . distinguish clearly between the following terms: oxidation, reduction, combustion, and kindling temperature. . is oxidation always accompanied by reduction? . what is the source of heat in the lime light? what is the exact use of lime in this instrument? . in fig. , why is it necessary to dry the hydrogen by means of the calcium chloride in the tube x? . at what pressure would the weight of l. of hydrogen be equal to that of oxygen under standard conditions? . (a) what weight of hydrogen can be obtained from g. of sulphuric acid? (b) what volume would this occupy under standard conditions? (c) the density of sulphuric acid is . . what volume would the g. of the acid occupy? . how many liters of hydrogen can be obtained from cc. of sulphuric acid having a density of . ? . suppose you wish to fill five liter bottles with hydrogen, the gas to be collected over water in your laboratory, how many cubic centimeters of sulphuric acid would be required? chapter iv compounds of hydrogen and oxygen; water and hydrogen dioxide water ~historical.~ water was long regarded as an element. in cavendish showed that it is formed by the union of hydrogen and oxygen. being a believer in the phlogiston theory, however, he failed to interpret his results correctly. a few years later lavoisier repeated cavendish's experiments and showed that water must be regarded as a compound of hydrogen and oxygen. ~general methods employed for the determination of the composition of a compound.~ the composition of a compound may be determined by either of two general processes these are known as _analysis_ and _synthesis_. . _analysis_ is the process of decomposing a compound into its constituents and determining what these constituents are. the analysis is _qualitative_ when it results in merely determining what elements compose the compound; it is _quantitative_ when the exact percentage of each constituent is determined. qualitative analysis must therefore precede quantitative analysis, for it must be known what elements, are in a compound before a method can be devised for determining exactly how much of each is present. . _synthesis_ is the process of forming a compound from its constituent parts. it is therefore the reverse of analysis. like analysis, it may be either qualitative or quantitative. ~application of these methods to the determination of the composition of water.~ the determination of the composition of water is a matter of great interest not only because of the importance of the compound but also because the methods employed illustrate the general methods of analysis and synthesis. ~methods based on analysis.~ the methods based on analysis may be either qualitative or quantitative in character. [illustration: fig. ] . _qualitative analysis._ as was stated in the study of oxygen, water may be separated into its component parts by means of the electric current. the form of apparatus ordinarily used for effecting this analysis is shown in fig. . a platinum wire, to the end of which is attached a small piece of platinum foil (about mm. by mm.), is fused through each of the tubes b and d, as shown in the figure. the stopcocks at the ends of these tubes are opened and water, to which has been added about one tenth of its volume of sulphuric acid, is poured into the tube a until the side tubes b and d are completely filled. the stopcocks are then closed. the platinum wires extending into the tubes b and d are now connected with the wires leading from two or three dichromate cells joined in series. the pieces of platinum foil within the tubes thus become the electrodes, and the current flows from one to the other through the acidulated water. as soon as the current passes, bubbles of gas rise from each of the electrodes and collect in the upper part of the tubes. the gas rising from the negative electrode is found to be hydrogen, while that from the positive electrode is oxygen. it will be seen that the volume of the hydrogen is approximately double that of the oxygen. oxygen is more soluble in water than hydrogen, and a very little of it is also lost by being converted into ozone and other substances. it has been found that when the necessary corrections are made for the error due to these facts, the volume of the hydrogen is exactly double that of the oxygen. fig. illustrates a simpler form of apparatus, which may be used in place of that shown in fig. . a glass or porcelain dish is partially filled with water to which has been added the proper amount of acid. two tubes filled with the same liquid are inverted over the electrodes. the gases resulting from the decomposition of the water collect in the tubes. [illustration: fig. ] . _quantitative analysis._ the analysis just described is purely qualitative and simply shows that water contains hydrogen and oxygen. it does not prove the absence of other elements; indeed it does not prove that the hydrogen and oxygen are present in the proportion in which they are liberated by the electric current. the method may be made quantitative, however, by weighing the water decomposed and also the hydrogen and oxygen obtained in its decomposition. if the combined weights of the hydrogen and oxygen exactly equal the weight of the water decomposed, then it would be proved that the water consists of hydrogen and oxygen in the proportion in which they are liberated by the electric current. this experiment is difficult to carry out, however, so that the more accurate methods based on synthesis are used. ~methods based on synthesis.~ two steps are necessary to ascertain the exact composition of water by synthesis: ( ) to show by qualitative synthesis that water is formed by the union of oxygen with hydrogen; ( ) to determine by quantitative synthesis in what proportion the two elements unite to form water. the fact that water is formed by the combination of oxygen with hydrogen was proved in the preceding chapter. the quantitative synthesis may be made as follows: [illustration: fig. ] the combination of the two gases is brought about in a tube called a eudiometer. this is a graduated tube about cm. long and cm. wide, closed at one end (fig. ). near the closed end two platinum wires are fused through the glass, the ends of the wires within the tube being separated by a space of mm or mm. the tube is entirely filled with mercury and inverted in a vessel of the same liquid. pure hydrogen is passed into the tube until it is about one fourth filled. the volume of the gas is then read off on the scale and reduced to standard conditions. approximately an equal volume of pure oxygen is then introduced and the volume again read off and reduced to standard conditions. this gives the total volume of the two gases. from this the volume of the oxygen introduced may be determined by subtracting from it the volume of the hydrogen. the combination of the two gases is now brought about by connecting the two platinum wires with an induction coil and passing a spark from one wire to the other. immediately a slight explosion occurs. the mercury in the tube is at first depressed because of the expansion of the gases due to the heat generated, but at once rebounds, taking the place of the gases which have combined to form water. the volume of the water in the liquid state is so small that it may be disregarded in the calculations. in order that the temperature of the residual gas and the mercury may become uniform, the apparatus is allowed to stand for a few minutes. the volume of the gas is then read off and reduced to standard conditions, so that it may be compared with the volumes of the hydrogen and oxygen originally taken. the residual gas is then tested in order to ascertain whether it is hydrogen or oxygen, experiments having proved that it is never a mixture of the two. from the information thus obtained the composition of the water may be calculated. thus, suppose the readings were as follows: volume of hydrogen taken . cc. volume of hydrogen and oxygen . volume of oxygen . volume of gas left after combination has taken place (oxygen) . the . cc. of hydrogen have combined with . cc. minus . cc. (or . cc.) of oxygen; or approximately volumes of hydrogen have combined with of oxygen. since oxygen is . times as heavy as hydrogen, the proportion by weight in which the two gases combine is part of hydrogen to . of oxygen. ~precaution.~ if the two gases are introduced into the eudiometer in the exact proportions in which they combine, after the combination has taken place the liquid will rise and completely fill the tube. under these conditions, however, the tube is very likely to be broken by the sudden upward rush of the liquid. hence in performing the experiment care is taken to introduce an excess of one of the gases. ~a more convenient form of eudiometer.~ a form of eudiometer (fig. ) different from that shown on page is sometimes used to avoid the calculations necessary in reducing the volumes of the gases to the same conditions of temperature and pressure in order to make comparisons. with this apparatus it is possible to take the readings of the volumes under the same conditions of temperature and pressure, and thus compare them directly. the apparatus (fig. ) is filled with mercury and the gases introduced into the tube a. the experiment is carried out as in the preceding one, except that before taking the reading of the gas volumes, mercury is either added to the tube b or withdrawn from it by means of the stopcock c, until it stands at exactly the same height in both tubes. the gas inclosed in tube a is then under atmospheric pressure; and since but a few minutes are required for performing the experiment, the conditions of temperature and pressure may be regarded as constant. hence the volumes of the hydrogen and oxygen and of the residual gas may be read off from the tube and directly compared. [illustration: fig. ] ~method used by berzelius and dumas.~ the method used by these investigators enables us to determine directly the proportion by weight in which the hydrogen and oxygen combine. fig. illustrates the apparatus used in making this determination. b is a glass tube containing copper oxide. c and d are glass tubes filled with calcium chloride, a substance which has great affinity for water. the tubes b and c, including their contents, are carefully weighed, and the apparatus connected as shown in the figure. a slow current of pure hydrogen is then passed through a, and that part of the tube b which contains copper oxide is carefully heated. the hydrogen combines with the oxygen present in the copper oxide to form water, which is absorbed by the calcium chloride in tube c. the calcium chloride in tube d prevents any moisture entering tube c from the air. the operation is continued until an appreciable amount of water has been formed. the tubes b and c are then weighed once more. the loss of weight in the tube b will exactly equal the weight of oxygen taken up from the copper oxide in the formation of the water. the gain in weight in the tube c will exactly equal the weight of the water formed. the difference in these weights will of course equal the weight of the hydrogen present in the water formed. [illustration: fig. ] ~dumas' results.~ the above method for the determination of the composition of water was first used by berzelius in . the work was repeated in by dumas, the average of whose results is as follows: weight of water formed . g. oxygen given up by the copper oxide . ------ weight of hydrogen present in water . according to this experiment the ratio of hydrogen to oxygen in water is therefore . to . , or as l to . ~morley's results.~ the american chemist morley has recently determined the composition of water, extreme precautions being taken to use pure materials and to eliminate all sources of error. the hydrogen and oxygen which combined, as well as the water formed, were all accurately weighed. according to morley's results, part of hydrogen by weight combines with . parts of oxygen to form water. ~comparison of results obtained.~ from the above discussions it is easy to see that it is by experiment alone that the composition of a compound can be determined. different methods may lead to slightly different results. the more accurate the method chosen and the greater the skill with which the experiment is carried out, the more accurate will be the results. it is generally conceded by chemists that the results obtained by morley in reference to the composition of water are the most accurate ones. in accordance with these results, then, _water must be regarded as a compound containing hydrogen and oxygen in the proportion of part by weight of hydrogen to . parts by weight of oxygen_. ~relation between the volume of aqueous vapor and the volumes of the hydrogen and oxygen which combine to form it.~ when the quantitative synthesis of water is carried out in the eudiometer as described above, the water vapor formed by the union of the hydrogen and oxygen at once condenses. the volume of the resulting liquid is so small that it may be disregarded in making the calculations. if, however, the experiment is carried out at a temperature of ° or above, the water-vapor formed is not condensed and it thus becomes possible to compare the volume of the vapor with the volumes of hydrogen and oxygen which combined to form it. this can be accomplished by surrounding the arm a of the eudiometer (fig. ) with the tube b through which is passed the vapor obtained by boiling some liquid which has a boiling point above °. in this way it has been proved that volumes of hydrogen and volume of oxygen combine to form exactly volumes of water vapor, the volumes all being measured under the same conditions of temperature and pressure. it will be noted that the relation between these volumes may be expressed by whole numbers. the significance of this very important fact will be discussed in a subsequent chapter. [illustration: fig. ] ~occurrence of water.~ water not only covers about three fourths of the surface of the earth, and is present in the atmosphere in the form of moisture, but it is also a common constituent of the soil and rocks and of almost every form of animal and vegetable organism. the human body is nearly % water. this is derived not only from the water which we drink but also from the food which we eat, most of which contains a large percentage of water. thus potatoes contain about % of water, milk %, beef over %, apples %, tomatoes %. ~impurities in water.~ chemically pure water contains only hydrogen and oxygen. such a water never occurs in nature, however, for being a good solvent, it takes up certain substances from the rocks and soil with which it comes in contact. when such waters are evaporated these substances are deposited in the form of a residue. even rain water, which is the purest form occurring in nature, contains dust particles and gases dissolved from the atmosphere. the foreign matter in water is of two kinds, namely, _mineral_, such as common salt and limestone, and _organic_, that is the products of animal and vegetable life. ~mineral matter in water.~ the amount and nature of the mineral matter present in different waters vary greatly, depending on the character of the rocks and soil with which the waters come in contact. the more common of the substances present are common salt and compounds of calcium, magnesium, and iron. one liter of the average river water contains about mg. of mineral matter. water from deep wells naturally contains more mineral matter than river water, generally two or three times as much, while sea water contains as much as , mg. to the liter. ~effect of impurities on health.~ the mineral matter in water does not, save in very exceptional cases, render the water injurious to the human system. in fact the presence of a certain amount of such matter is advantageous, supplying the mineral constituents necessary for the formation of the solid tissues of the body. the presence of organic matter, on the other hand, must always be regarded with suspicion. this organic matter may consist not only of the products of animal and vegetable life but also of certain microscopic forms of living organisms which are likely to accompany such products. contagious diseases are known to be due to the presence in the body of minute living organisms or germs. each disease is caused by its own particular kind of germ. through sewage these germs may find their way from persons afflicted with disease into the water supply, and it is principally through the drinking water that certain of these diseases, especially typhoid fever, are spread. it becomes of great importance, therefore, to be able to detect such matter when present in drinking water as well as to devise methods whereby it can be removed or at least rendered harmless. ~analysis of water.~ the mineral analysis of a water is, as the name suggests, simply the determination of the mineral matter present. sanitary analysis, on the other hand, is the determination of the organic matter present. the physical properties of a water give no conclusive evidence as to its purity, since a water may be unfit for drinking purposes and yet be perfectly clear and odorless. neither can any reliance be placed on the simple methods often given for testing the purity of water. only the trained chemist can carry out such methods of analysis as can be relied upon. [illustration: fig. ] ~purification of water.~ three general methods are used for the purification of water, namely, _distillation_, _filtration_, and _boiling_. . _distillation._ the most effective way of purifying natural waters is by the process of distillation. this consists in boiling the water and condensing the steam. fig. illustrates the process of distillation, as commonly conducted in the laboratory. ordinary water is poured into the flask a and boiled. the steam is conducted through the condenser b, which consists essentially of a narrow glass tube sealed within a larger one, the space between the two being filled with cold water, which is admitted at c and escapes at d. the inner tube is thus kept cool and the steam in passing through it is condensed. the water formed by the condensation of the steam collects in the receiver e and is known as _distilled_ water. such water is practically pure, since the impurities are nonvolatile and remain in the flask a. ~commercial distillation.~ in preparing distilled water on a large scale, the steam is generated in a boiler or other metal container and condensed by passing it through a pipe made of metal, generally tin. this pipe is wound into a spiral and is surrounded by a current of cold water. distilled water is used by the chemist in almost all of his work. it is also used in the manufacture of artificial ice and for drinking water. ~fractional distillation.~ in preparing distilled water, it is evident that if the natural water contains some substance which is volatile its vapor will pass over and be condensed with the steam, so that the distillate will not be pure water. even such mixtures, however, may generally be separated by repeated distillation. thus, if a mixture of water (boiling point °) and alcohol (boiling point °) is distilled, the alcohol, having the lower boiling point, tends to distill first, followed by the water. the separation of the two is not perfect, however, but may be made nearly so by repeated distillations. the process of separating a mixture of volatile substances by distillation is known as _fractional distillation_. . _filtration._ the process of distillation practically removes all nonvolatile foreign matter, mineral as well as organic. in purifying water for drinking purposes, however, it is only necessary to eliminate the latter or to render it harmless. this is ordinarily done either by filtration or boiling. in filtration the water is passed through some medium which will retain the organic matter. ordinary charcoal is a porous substance and will condense within its pores the organic matter in water if brought in contact with it. it is therefore well adapted to the construction of filters. such filters to be effective must be kept clean, since it is evident that the charcoal is useless after its pores are filled. a more effective type of filter is the chamberlain-pasteur filter. in this the water is forced through a porous cylindrical cup, the pores being so minute as to strain out the organic matter. ~city filtration beds.~ for purifying the water supply of cities, large filtration beds are prepared from sand and gravel, and the water is allowed to filter through these. some of the impurities are strained out by the filter, while others are decomposed by the action of certain kinds of bacteria present in the sand. fig. shows a cross section of a portion of the filter used in purifying the water supply of philadelphia. the water filters through the sand and gravel and passes into the porous pipe a, from which it is pumped into the city mains. the filters are covered to prevent the water from freezing in cold weather. [illustration: fig. ] . _boiling._ a simpler and equally efficient method for purifying water for drinking purposes consists in boiling the water. it is the germs in water that render it dangerous to health. these germs are living forms of matter. if the water is boiled, the germs are killed and the water rendered safe. while these germs are destroyed by heat, cold has little effect upon them. thus dewar, in working with liquid hydrogen, exposed some of these minute forms of life to the temperature of boiling hydrogen (- °) without killing them. ~self-purification of water.~ it has long been known that water contaminated with organic matter tends to purify itself when exposed to the air. this is due to the fact that the water takes up a small amount of oxygen from the air, which gradually oxidizes the organic matter present in the water. while water is undoubtedly purified in this way, the method cannot be relied upon to purify a contaminated water so as to render it safe for drinking purposes. ~physical properties.~ pure water is an odorless and tasteless liquid, colorless in thin layers, but having a bluish tinge when observed through a considerable thickness. it solidifies at ° and boils at ° under the normal pressure of one atmosphere. if the pressure is increased, the boiling point is raised. when water is cooled it steadily contracts until the temperature of ° is reached: it then expands. water is remarkable for its ability to dissolve other substances, and is the best solvent known. solutions of solids in water are more frequently employed in chemical work than are the solid substances, for chemical action between substances goes on more readily when they are in solution than it does when they are in the solid state. ~chemical properties.~ water is a very stable substance, or, in other words, it does not undergo decomposition readily. to decompose it into its elements by heat alone requires a very high temperature; at °, for example, only about % of the entire amount is decomposed. though very stable towards heat, water can be decomposed in other ways, as by the action of the electrical current or by certain metals. ~heat of formation and heat of decomposition are equal.~ the fact that a very high temperature is necessary to decompose water into hydrogen and oxygen is in accord with the fact that a great deal of heat is evolved by the union of hydrogen and oxygen; for it has been proved that the heat necessary to decompose a compound into its elements (heat of decomposition) is equal to the heat evolved in the formation of a compound from its elements (heat of formation). ~water of crystallization.~ when a solid is dissolved in water and the resulting solution is allowed to evaporate, the solid separates out, often in the form of crystals. it has been found that the crystals of many compounds, although perfectly dry, give up a definite amount of water when heated, the substance at the same time losing its crystalline form. such water is called _water of crystallization_. this varies in amount with different compounds, but is perfectly definite for the same compound. thus, if a perfectly dry crystal of copper sulphate is strongly heated in a tube, water is evolved and condenses on the sides of the tube, the crystal crumbling to a light powder. the weight of the water evolved is always equal to exactly . % of the weight of copper sulphate crystals heated. the water must therefore be in chemical combination with the substance composing the crystal; for if simply mixed with it or adhering to it, not only would the substance appear moist but the amount present would undoubtedly vary. the combination, however, must be a very weak one, since the water is often expelled by even a gentle heat. indeed, in some cases the water is given up on simple exposure to air. such compounds are said to be _efflorescent_. thus a crystal of sodium sulphate (glauber's salt) on exposure to air crumbles to a fine powder, owing to the escape of its water of crystallization. other substances have just the opposite property: they absorb moisture when exposed to the air. for example, if a bit of dry calcium chloride is placed in moist air, in the course of a few hours it will have absorbed sufficient moisture to dissolve it. such substances are said to be _deliquescent_. a deliquescent body serves as a good drying or _desiccating_ agent. we have already employed calcium chloride as an agent for absorbing the moisture from hydrogen. many substances, as for example quartz, form crystals which contain no water of crystallization. ~mechanically inclosed water.~ water of crystallization must be carefully distinguished from water which is mechanically inclosed in a crystal and which can be removed by powdering the crystal and drying. thus, when crystals of common salt are heated, the water inclosed in the crystal is changed into steam and bursts the crystal with a crackling sound. such crystals are said to _decrepitate_. that this water is not combined is proved by the fact that the amount present varies and that it has all the properties of water. ~uses of water.~ the importance of water in its relation to life and commerce is too well known to require comment. its importance to the chemist has also been pointed out. it remains to call attention to the fact that it is used as a standard in many physical measurements. thus ° and ° on the centigrade scale are respectively the freezing and the boiling points of water under normal pressure. the weight of cc. of water at its point of greatest density is the unit of weight in the metric system, namely, the gram. it is also taken as the unit for the determination of the density of liquids and solids as well as for the measurement of amounts of heat. hydrogen dioxide ~composition.~ as has been shown, part by weight of hydrogen combines with . parts by weight of oxygen to form water. it is possible, however, to obtain a second compound of hydrogen and oxygen differing from water in composition in that part by weight of hydrogen is combined with × . , or . parts, of oxygen. this compound is called _hydrogen dioxide_ or _hydrogen peroxide_, the prefixes _di-_ and _per-_ signifying that it contains more oxygen than hydrogen oxide, which is the chemical name for water. ~preparation.~ hydrogen dioxide cannot be prepared cheaply by the direct union of hydrogen and oxygen, and indirect methods must therefore be used. it is commonly prepared by the action of a solution of sulphuric acid on barium dioxide. the change which takes place may be indicated as follows: sulphuric acid + barium dioxide = barium sulphate + hydrogen dioxide -------------- -------------- --------------- ---------------- hydrogen barium barium hydrogen sulphur oxygen sulphur oxygen oxygen oxygen in other words, the barium and hydrogen in the two compounds exchange places. by this method a dilute solution of the dioxide in water is obtained. it is possible to separate the dioxide from the water by fractional distillation. this is attended with great difficulties, however, since the pure dioxide is explosive. the distillation is carried on under diminished pressure so as to lower the boiling points as much as possible; otherwise the high temperature would decompose the dioxide. ~properties.~ pure hydrogen dioxide is a colorless sirupy liquid having a density of . . its most characteristic property is the ease with which it decomposes into water and oxygen. one part by weight of hydrogen is capable of holding firmly only . parts of oxygen. the additional . parts of oxygen present in hydrogen dioxide are therefore easily evolved, the compound breaking down into water and oxygen. this decomposition is attended by the generation of considerable heat. in dilute solution hydrogen dioxide is fairly stable, although such a solution should be kept in a dark, cool place, since both heat and light aid in the decomposition of the dioxide. ~uses.~ solutions of hydrogen dioxide are used largely as oxidizing agents. the solution sold by druggists contains % of the dioxide and is used in medicine as an antiseptic. its use as an antiseptic depends upon its oxidizing properties. exercises . why does the chemist use distilled water in making solutions, rather than filtered water? . how could you determine the total amount of solid matter dissolved in a sample of water? . how could you determine whether a given sample of water is distilled water? . how could the presence of air dissolved in water be detected? . how could the amount of water in a food such as bread or potato be determined? . would ice frozen from impure water necessarily be free from disease germs? . suppose that the maximum density of water were at ° in place of °; what effect would this have on the formation of ice on bodies of water? . is it possible for a substance to contain both mechanically inclosed water and water of crystallization? . if steam is heated to ° and again cooled, has any chemical change taken place in the steam? . why is cold water passed into c instead of d (fig. )? . mention at least two advantages that a metal condenser has over a glass condenser. . draw a diagram of the apparatus used in your laboratory for supplying distilled water. . cc. of hydrogen and cc. of oxygen are placed in a eudiometer and the mixture exploded. (a) how many cubic centimeters of aqueous vapor are formed? (b) what gas and how much of it remains in excess? . (a) what weight of water can be formed by the combustion of l of hydrogen, measured under standard conditions? (b)what volume of oxygen would be required in (a)? (c)what weight of potassium chlorate is necessary to prepare this amount of oxygen? . what weight of oxygen is present in kg. of the ordinary hydrogen dioxide solution? in the decomposition of this weight of the dioxide into water and oxygen, what volume of oxygen (measured under standard conditions) is evolved? chapter v the atomic theory ~three fundamental laws of matter.~ before we can gain any very definite idea in regard to the structure of matter, and the way in which different kinds of substances act chemically upon each other, it is necessary to have clearly in view three fundamental laws of matter. these laws have been established by experiment, and any conception which may be formed concerning matter must therefore be in harmony with them. the laws are as follows: ~law of conservation of matter.~ this law has already been touched upon in the introductory chapter, and needs no further discussion. it will be recalled that it may be stated thus: _matter can neither be created nor destroyed, though it can be changed from one form into another._ ~law of definite composition.~ in the earlier days of chemistry there was much discussion as to whether the composition of a given compound is always precisely the same or whether it is subject to some variation. two frenchmen, berthollet and proust, were the leaders in this discussion, and a great deal of most useful experimenting was done to decide the question. their experiments, as well as all succeeding ones, have shown that the composition of a pure chemical compound is always exactly the same. water obtained by melting pure ice, condensing steam, burning hydrogen in oxygen, has always . % hydrogen and . % oxygen in it. red oxide of mercury, from whatever source it is obtained, contains . % mercury and . % oxygen. this truth is known as _the law of definite composition_, and may be stated thus: _the composition of a chemical compound never varies._ ~law of multiple proportion.~ it has already been noted, however, that hydrogen and oxygen combine in two different ratios to form water and hydrogen dioxide respectively. it will be observed that this fact does not contradict the law of definite composition, for entirely different substances are formed. these compounds differ from each other in composition, but the composition of each one is always constant. this ability of two elements to unite in more than one ratio is very frequently observed. carbon and oxygen combine in two different ratios; nitrogen and oxygen combine to form as many as five distinct compounds, each with its own precise composition. in the first decade of the last century john dalton, an english school-teacher and philosopher, endeavored to find some rule which holds between the ratios in which two given substances combine. his studies brought to light a very simple relation, which the following examples will make clear. in water the hydrogen and oxygen are combined in the ratio of part by weight of hydrogen to . parts by weight of oxygen. in hydrogen dioxide the part by weight of hydrogen is combined with . parts by weight of oxygen. the ratio between the amounts of oxygen which combine with the same amount of hydrogen to form water and hydrogen dioxide respectively is therefore . : . , or : . [illustration: john dalton (english) ( - ) developed the atomic theory; made many studies on the properties and the composition of gases. his book entitled "a new system of chemical philosophy" had a large influence on the development of chemistry] similarly, the element iron combines with oxygen to form two oxides, one of which is black and the other red. by analysis it has been shown that the former contains part by weight of iron combined with . parts by weight of oxygen, while the latter contains part by weight of iron combined with . parts by weight of oxygen. here again we find that the amounts of oxygen which combine with the same fixed amount of iron to form the two compounds are in the ratio of small whole numbers, viz., : . many other examples of this simple relation might be given, since it has been found to hold true in all cases where more than one compound is, formed from the same elements. dalton's law of multiple proportion states these facts as follows: _when any two elements,_ a _and_ b, _combine to form more than one compound, the amounts of_ b _which unite with any fixed amount of_ a _bear the ratio of small whole numbers to each other_. ~hypothesis necessary to explain the laws of matter.~ these three generalizations are called _laws_, because they express in concise language truths which are found by careful experiment to hold good in all cases. they do not offer any explanation of the facts, but merely state them. the human mind, however, does not rest content with the mere bare facts, but seeks ever to learn the explanation of the facts. a suggestion which is offered to explain such a set of facts is called an _hypothesis_. the suggestion which dalton offered to explain the three laws of matter, called the _atomic hypothesis_, was prompted by his view of the constitution of matter, and it involves three distinct assumptions in regard to the nature of matter and chemical action. dalton could not prove these assumptions to be true, but he saw that if they were true the laws of matter become very easy to understand. ~dalton's atomic hypothesis.~ the three assumptions which dalton made in regard to the nature of matter, and which together constitute the atomic hypothesis, are these: . all elements are made up of minute, independent particles which dalton designated as _atoms_. . all atoms of the same element have equal masses; those of different elements have different masses; in any change to which an atom is subjected its mass does not change. . when two or more elements unite to form a compound, the action consists in the union of a definite small number of atoms of each element to form a small particle of the compound. the smallest particles of a given compound are therefore exactly alike in the number and kinds of atoms which they contain, and larger masses of the substances are simply aggregations of these least particles. ~molecules and atoms.~ dalton applied the name atom not only to the minute particles of the elements but also to the least particles of compounds. later avogadro, an italian scientist, pointed out the fact that the two are different, since the smallest particle of an element is a unit, while that of a compound must have at least two units in it. he suggested the name _molecule_ for the least particle of a compound which can exist, retaining the name _atom_ for the smallest particle of an element. in accordance with this distinction, we may define the atom and the molecule as follows: _an atom is the smallest particle of an element which can exist. a molecule is the smallest particle of a compound which can exist._ it will be shown in a subsequent chapter that sometimes two or more atoms of the same element unite with each other to form molecules of the element. while the term atom, therefore, is applicable only to elements, the term molecule is applicable both to elements and compounds. ~the atomic hypothesis and the laws of matter.~ supposing the atomic hypothesis to be true, let us now see if it is in harmony with the laws of matter. . _the atomic hypothesis and the law of conservation of matter._ it is evident that if the atoms never change their masses in any change which they undergo, the total quantity of matter can never change and the law of conservation of matter must follow. . _the atomic hypothesis and the law of definite composition._ according to the third supposition, when iron combines with sulphur the union is between definite numbers of the two kinds of atoms. in the simplest case one atom of the one element combines with one atom of the other. if the sulphur and the iron atoms never change their respective masses when they unite to form a molecule of iron sulphide, all iron sulphide molecules will have equal amounts of iron in them and also of sulphur. consequently any mass made up of iron sulphide molecules will have the same fraction of iron by weight as do the individual iron sulphide molecules. iron sulphide, from whatever source, will have the same composition, which is in accordance with the law of definite composition. . _the atomic hypothesis and the law of multiple proportion._ but this simplest case may not always be the only one. under other conditions one atom of iron might combine with two of sulphur to form a molecule of a second compound. in such a case the one atom of iron would be in combination with twice the mass of sulphur that is in the first compound, since the sulphur atoms all have equal masses. what is true for one molecule will be true for any number of them; consequently when such quantities of these two compounds are selected as are found to contain the same amount of iron, the one will contain twice as much sulphur as the other. the combination between the atoms may of course take place in other simple ratios. for example, two atoms of one element might combine with three or with five of the other. in all such cases it is clear that the law of multiple proportion must hold true. for on selecting such numbers of the two kinds of molecules as have the same number of the one kind of atoms, the numbers of the other kind of atoms will stand in some simple ratio to each other, and their weights will therefore stand in the same simple ratio. ~testing the hypothesis.~ efforts have been made to find compounds which do not conform to these laws, but all such attempts have resulted in failure. if such compounds should be found, the laws would be no longer true, and the hypothesis of dalton would cease to possess value. when an hypothesis has been tested in every way in which experiment can test it, and is still found to be in harmony with the facts in the case, it is termed a _theory_. we now speak of the atomic theory rather than of the atomic hypothesis. ~value of a theory.~ the value of a theory is twofold. it aids in the clear understanding of the laws of nature because it gives an intelligent idea as to why these laws should be in operation. a theory also leads to discoveries. it usually happens that in testing a theory much valuable work is done, and many new facts are discovered. almost any theory in explaining given laws will involve a number of consequences apart from the laws it seeks to explain. experiment will soon show whether these facts are as the theory predicts they will be. thus dalton's atomic theory predicted many properties of gases which experiment has since verified. ~atomic weights.~ it would be of great advantage in the study of chemistry if we could determine the weights of the different kinds of atoms. it is evident that this cannot be done directly. they are so small that they cannot be seen even with a most powerful microscope. it is calculated that it would take , , hydrogen atoms placed side by side to make a row one centimeter long. no balance can weigh such minute objects. it is possible, however, to determine their relative weights,--that is, how much heavier one is than another. _these relative weights of the atoms are spoken of as the atomic weights of the elements._ if elements were able to combine in only one way,--one atom of one with one atom of another,--the problem of determining the atomic weights would be very simple. we should merely have to take some one convenient element as a standard, and find by experiment how much of each other element would combine with a fixed weight of it. the ratios thus found would be the same ratios as those between the atoms of the elements, and thus we should have their relative atomic weights. the law of multiple proportion calls attention to the fact that the atoms combine in other ratios than : , and there is no direct way of telling which one, if any, of the several compounds in a given case is the one consisting of a single atom of each element. if some way were to be found of telling how much heavier the entire molecule of a compound is than the atom chosen as a standard,--that is, of determining the molecular weights of compounds,--the problem could be solved, though its solution would not be an entirely simple matter. there are ways of determining the molecular weights of compounds, and there are other experiments which throw light directly upon the relative weights of the atoms. these methods cannot be described until the facts upon which they rest have been studied. it will be sufficient for the present to assume that these methods are trustworthy. ~standard for atomic weights.~ since the atomic weights are merely relative to some one element chosen as a standard, it is evident that any one of the elements may serve as this standard and that any convenient value may be assigned to its atom. at one time oxygen was taken as this standard, with the value , and the atomic weights of the other elements were expressed in terms of this standard. it would seem more rational to take the element of smallest atomic weight as the standard and give it unit value; accordingly hydrogen was taken as the standard with an atomic weight of . very recently, however, this unit has been replaced by oxygen, with an atomic weight of . ~why oxygen is chosen as the standard for atomic weights.~ in the determination of the atomic weight of an element it is necessary to find the weight of the element which combines with a definite weight of another element, preferably the element chosen as the standard. since oxygen combines with the elements far more readily than does hydrogen to form definite compounds, it is far better adapted for the standard element, and has accordingly replaced hydrogen as the standard. any definite value might be given to the weight of the oxygen atom. in assigning a value to it, however, it is convenient to choose a whole number, and as small a number as possible without making the atomic weight of any other element less than unity. for these reasons the number has been chosen as the atomic weight of oxygen. this makes the atomic weight of hydrogen equal to . , so that there is but little difference between taking oxygen as and hydrogen as for the unit. the atomic weights of the elements are given in the appendix. exercises . two compounds were found to have the following compositions: (a) oxygen = . %, nitrogen = . %; (b) oxygen = . %, nitrogen = . %. show that the law of multiple proportion holds in this case. . two compounds were found to have the following compositions: (a) oxygen = . %, phosphorus = . %; (b) oxygen = . %, phosphorus = . %. show that the law of multiple proportion holds in this case. . why did dalton assume that all the atoms of a given element have the same weight? chapter vi chemical equations and calculations ~formulas.~ since the molecule of any chemical compound consists of a definite number of atoms, and this number never changes without destroying the identity of the compound, it is very convenient to represent the composition of a compound by indicating the composition of its molecules. this can be done very easily by using the symbols of the atoms to indicate the number and the kind of the atoms which constitute the molecule. hgo will in this way represent mercuric oxide, a molecule of which has been found to contain atom each of mercury and oxygen. h_{ }o will represent water, the molecules of which consist of atom of oxygen and of hydrogen, the subscript figure indicating the number of the atoms of the element whose symbol precedes it. h_{ }so_{ } will stand for sulphuric acid, the molecules of which contain atoms of hydrogen, of sulphur, and of oxygen. the combination of symbols which represents the molecule of a substance is called its _formula_. ~equations.~ when a given substance undergoes a chemical change it is possible to represent this change by the use of such symbols and formulas. in a former chapter it was shown that mercuric oxide decomposes when heated to form mercury and oxygen. this may be expressed very briefly in the form of the equation ( ) hgo = hg + o. when water is electrolyzed two new substances, hydrogen and oxygen, are formed from it. this statement in the form of an equation is ( ) h_{ }o = h + o. the coefficient before the symbol for hydrogen indicates that a single molecule of water yields two atoms of hydrogen on decomposition. in like manner the combination of sulphur with iron is expressed by the equation ( ) fe + s = fes. the decomposition of potassium chlorate by heat takes place as represented by the equation ( ) kclo_{ } = kcl + o. ~reading of equations.~ since equations are simply a kind of shorthand way of indicating chemical changes which occur under certain conditions, in reading an equation the full statement for which it stands should be given. equation ( ) should be read, "mercuric oxide when heated gives mercury and oxygen"; equation ( ) is equivalent to the statement, "when electrolyzed, water produces hydrogen and oxygen"; equation ( ), "when heated together iron and sulphur unite to form iron sulphide"; equation ( ), "potassium chlorate when heated yields potassium chloride and oxygen." ~knowledge required for writing equations.~ in order to write such equations correctly, a considerable amount of exact knowledge is required. thus, in equation ( ) the fact that red oxide of mercury has the composition represented by the formula hgo, that it is decomposed by heat, that in this decomposition mercury and oxygen are formed and no other products,--all these facts must be ascertained by exact experiment before the equation can be written. an equation expressing these facts will then have much value. having obtained an equation describing the conduct of mercuric oxide on being heated, it will not do to assume that other oxides will behave in like manner. iron oxide (feo) resembles mercuric oxide in many respects, but it undergoes no change at all when heated. manganese dioxide, the black substance used in the preparation of oxygen, has the formula mno_{ }. when this substance is heated oxygen is set free, but the metal manganese is not liberated; instead, a different oxide of manganese containing less oxygen is produced. the equation representing the reaction is mno_{ } = mn_{ }o_{ } + o. ~classes of reactions.~ when a chemical change takes place in a substance the substance is said to undergo a reaction. although a great many different reactions will be met in the study of chemistry, they may all be grouped under the following heads. . _addition._ this is the simplest kind of chemical action. it consists in the union of two or more substances to produce a new substance. the combination of iron with sulphur is an example: fe + s = fes. . _decomposition._ this is the reverse of addition, the substance undergoing reaction being parted into its constituents. the decomposition of mercuric oxide is an example: hgo = hg + o. . _substitution._ it is sometimes possible for an element in the free state to act upon a compound in such a way that it takes the place of one of the elements of the compound, liberating it in turn. in the study of the element hydrogen it was pointed out that hydrogen is most conveniently prepared by the action of sulphuric or hydrochloric acid upon zinc. when sulphuric acid is used a substance called zinc sulphate, having the composition represented by the formula znso_{ }, is formed together with hydrogen. the equation is zn + h_{ }so_{ } = znso_{ } + h. when hydrochloric acid is used zinc chloride and hydrogen are the products of reaction: zn + hcl = zncl_{ } + h. when iron is used in place of zinc the equation is fe + h_{ }so_{ } = feso_{ } + h. these reactions are quite similar, as is apparent from an examination of the equations. in each case atom of the metal replaces atoms of hydrogen in the acid, and the hydrogen escapes as a gas. when an element in the free state, such as the zinc in the equations just given, takes the place of some one element in a compound, setting it free from chemical combination, the act is called _substitution_. other reactions illustrating substitution are the action of sodium on water, na + h_{ }o = naoh + h; and the action of heated iron upon water, fe + h_{ }o = fe_{ }o_{ } + h. . _double decomposition._ when barium dioxide (bao_{ }) is treated with sulphuric acid two compounds are formed, namely, hydrogen dioxide (h_{ }o_{ }) and barium sulphate (baso_{ }). the equation is bao_{ } + h_{ }so_{ } = baso_{ } + h_{ }o_{ }. in this reaction it will be seen that the two elements barium and hydrogen simply exchange places. such a reaction is called a _double decomposition_. we shall meet with many examples of this kind of chemical reactions. ~chemical equations are quantitative.~ the use of symbols and formulas in expressing chemical changes has another great advantage. thus, according to the equation h_{ }o = h + o, molecule of water is decomposed into atoms of hydrogen and atom of oxygen. but, as we have seen, the relative weights of the atoms are known, that of hydrogen being . , while that of oxygen is . the molecule of water, being composed of atoms of hydrogen and atom of oxygen, must therefore weigh relatively . + , or . . the amount of hydrogen in this molecule must be . / . , or . % of the whole, while the amount of oxygen must be / . , or . % of the whole. now, since any definite quantity of water is simply the sum of a great many molecules of water, it is plain that the fractions representing the relative amounts of hydrogen and oxygen present in a molecule must likewise express the relative amounts of hydrogen and oxygen present in any quantity of water. thus, for example, in g. of water there are . / . × , or . g. of hydrogen, and / . × , or . g. of oxygen. these results in reference to the composition of water of course agree exactly with the facts obtained by the experiments described in the chapter on water, for it is because of those experiments that the values . and are given to hydrogen and oxygen respectively. it is often easier to make calculations of this kind in the form of a proportion rather than by fractions. since the molecule of water and the two atoms of hydrogen which it contains have the ratio by weight of . : . , any mass of water has the same ratio between its total weight and the weight of the hydrogen in it. hence, to find the number of grams (x) of hydrogen in g. of water, we have the proportion . : . :: g. : x (grams of hydrogen). solving for x, we get . for the number of grams of hydrogen. similarly, to find the amount (x) of oxygen present in the g. of water, we have the proportion . : :: : x from which we find that x = . g. again, suppose we wish to find what weight of oxygen can be obtained from g. of mercuric oxide. the equation representing the decomposition of mercuric oxide is hgo = hg + o. the relative weights of the mercury and oxygen atoms are respectively and . the relative weight of the mercuric oxide molecule must therefore be the sum of these, or . the molecule of mercuric oxide and the atom of oxygen which it contains have the ratio : . this same ratio must therefore hold between the weight of any given quantity of mercuric oxide and that of the oxygen which it contains. hence, to find the weight of oxygen in g. of mercuric oxide, we have the proportion : :: : x (grams of oxygen). on the other hand, suppose we wish to prepare, say, g. of oxygen. the problem is to find out what weight of mercuric oxide will yield g. of oxygen. the following proportion evidently holds : :: x (grams of mercuric oxide) : ; from which we get x = . in the preparation of hydrogen by the action of sulphuric acid upon zinc, according to the equation, zn + h_{ }so_{ } = znso_{ } + h, suppose that g. of zinc are available; let it be required to calculate the weight of hydrogen which can be obtained. it will be seen that atom of zinc will liberate atoms of hydrogen. the ratio by weight of a zinc to an hydrogen atom is . : . ; of zinc atom to hydrogen atoms, . : . . zinc and hydrogen will be related in this reaction in this same ratio, however many atoms of zinc are concerned. consequently in the proportion . : . :: : x, x will be the weight of hydrogen set free by g. of zinc. the weight of zinc sulphate produced at the same time can be found from the proportion . : . :: : x; where . is the molecular weight of the zinc sulphate, and x the weight of zinc sulphate formed. in like manner, the weight of sulphuric acid used up can be calculated from the proportion . : . :: : x. these simple calculations are possible because the symbols and formulas in the equations represent the relative weights of the substances concerned in a chemical reaction. when once the relative weights of the atoms have been determined, and it has been agreed to allow the symbols to stand for these relative weights, an equation or formula making use of the symbols becomes a statement of a definite numerical fact, and calculations can be based on it. ~chemical equations not algebraic.~ although chemical equations are quantitative, it must be clearly understood that they are not algebraic. a glance at the equations + = , + = + will show at once that they are true. the equations hgo = hg + o, feo = fe + o are equally true in an algebraic sense, but experiment shows that only the first is true chemically, for iron oxide (feo) cannot be directly decomposed into iron and oxygen. only such equations as have been found by careful experiment to express a real chemical transformation, true both for the kinds of substances as well as for the weights, have any value. _chemical formulas and equations, therefore, are a concise way of representing qualitatively and quantitatively facts which have been found by experiment to be true in reference to the composition of substances and the changes which they undergo._ ~formulas representing water of crystallization.~ an examination of substances containing water of crystallization has shown that in every case the water is present in such proportion by weight as can readily be represented by a formula. for example, copper sulphate (cuso_{ }) and water combine in the ratio of molecule of the sulphate to of water; calcium sulphate (caso_{ }) and water combine in the ratio : to form gypsum. these facts are expressed by writing the formulas for the two substances with a period between them. thus the formula for crystallized copper sulphate is cuso_{ }· h_{ }o; that of gypsum is caso_{ }· h_{ }o. ~heat of reaction.~ attention has frequently been directed to the fact that chemical changes are usually accompanied by heat changes. in general it has been found that in every chemical action heat is either absorbed or given off. by adopting a suitable unit for the measurement of heat, the heat change during a chemical reaction can be expressed in the equation for the reaction. heat cannot be measured by the use of a thermometer alone, since the thermometer measures the intensity of heat, not its quantity. the easiest way to measure a quantity of heat is to note how warm it will make a definite amount of a given substance chosen as a standard. water has been chosen as the standard, and the unit of heat is called a _calorie. a calorie is defined as the amount of heat required to raise the temperature of one gram of water one degree._ by means of this unit it is easy to indicate the heat changes in a given chemical reaction. the equation h + o = h_{ }o + , cal. means that when . g. of hydrogen combine with g. of oxygen, . g. of water are formed and , cal. are set free. c + s = cs_{ } - , cal. means that an expenditure of , cal. is required to cause g. of carbon to unite with . g. of sulphur to form . g. of carbon disulphide. in these equations it will be noted that the symbols stand for as many grams of the substance as there are units in the weights of the atoms represented by the symbols. this is always understood to be the case in equations where the heat of reaction is given. ~conditions of a chemical action are not indicated by equations.~ equations do not tell the conditions under which a reaction will take place. the equation hgo = hg + o does not tell us that it is necessary to keep the mercuric oxide at a high temperature in order that the decomposition may go on. the equation zn + hcl = zncl_{ } + h in no way indicates the fact that the hydrochloric acid must be dissolved in water before it will act upon the zinc. from the equation h + cl = hcl it would not be suspected that the two gases hydrogen and chlorine will unite instantly in the sunlight, but will stand mixed in the dark a long time without change. it will therefore be necessary to pay much attention to the details of the conditions under which a given reaction occurs, as well as to the expression of the reaction in the form of an equation. exercises . calculate the percentage composition of the following substances: (a) mercuric oxide; (b) potassium chlorate; (c) hydrochloric acid; (d) sulphuric acid. compare the results obtained with the compositions as given in chapters ii and iii. . determine the percentage of copper, sulphur, oxygen, and water in copper sulphate crystals. what weight of water can be obtained from g. of this substance? . what weight of zinc can be dissolved in g. of sulphuric acid? how much zinc sulphate will be formed? . how many liters of hydrogen measured under standard conditions can be obtained from the action of g. of iron on g. of sulphuric acid? how much iron sulphate (feso_{ }) will be formed? . g. of zinc were used in the preparation of hydrogen; what weight of iron will be required to prepare an equal volume? . how many grams of barium dioxide will be required to prepare kg. of common hydrogen dioxide solution? what weight of barium sulphate will be formed at the same time? . what weight of the compound mn_{ }o_{ } will be formed by strongly heating g. of manganese dioxide? what volume of oxygen will be given off at the same time, measured under standard conditions? . (a) what is the weight of l. of hydrogen measured in a laboratory in which the temperature is ° and pressure mm.? (b) what weight of sulphuric acid is necessary to prepare this amount of hydrogen? (c) the density of sulphuric acid is . . express the acid required in (b) in cubic centimeters. . what weight of potassium chlorate is necessary to furnish sufficient oxygen to fill four cc. bottles in your laboratory (the gas to be collected over water)? chapter vii nitrogen and the rare elements: argon, helium, neon, krypton, xenon ~historical.~ nitrogen was discovered by the english chemist rutherford in . a little later scheele showed it to be a constituent of air, and lavoisier gave it the name _azote_, signifying that it would not support life. the name _nitrogen_ was afterwards given it because of its presence in saltpeter or niter. the term azote and symbol az are still retained by the french chemists. ~occurrence.~ air is composed principally of oxygen and nitrogen in the free state, about parts by volume out of every parts being nitrogen. nitrogen also occurs in nature in the form of potassium nitrate (kno_{ })--commonly called saltpeter or niter--as well as in sodium nitrate (nano_{ }). nitrogen is also an essential constituent of all living organisms; for example, the human body contains about . % of nitrogen. ~preparation from air.~ nitrogen can be prepared from air by the action of some substance which will combine with the oxygen, leaving the nitrogen free. such a substance must be chosen, however, as will combine with the oxygen to form a product which is not a gas, and which can be readily separated from the nitrogen. the substances most commonly used for this purpose are phosphorus and copper. . _by the action of phosphorus._ the method used for the preparation of nitrogen by the action of phosphorus is as follows: the phosphorus is placed in a little porcelain dish, supported on a cork and floated on water (fig. ). it is then ignited by contact with a hot wire, and immediately a bell jar or bottle is brought over it so as to confine a portion of the air. the phosphorus combines with the oxygen to form an oxide of phosphorus, known as phosphorus pentoxide. this is a white solid which floats about in the bell jar, but in a short time it is all absorbed by the water, leaving the nitrogen. the withdrawal of the oxygen is indicated by the rising of the water in the bell jar. [illustration: fig. ] . _by the action of copper._ the oxygen present in the air may also be removed by passing air slowly through a heated tube containing copper. the copper combines with the oxygen to form copper oxide, which is a solid. the nitrogen passes on and may be collected over water. ~nitrogen obtained from air is not pure.~ inasmuch as air, in addition to oxygen and nitrogen, contains small amounts of other gases, and since the phosphorus as well as the copper removes only the oxygen, it is evident that the nitrogen obtained by these methods is never quite pure. about % of the product is composed of other gases, from which it is very difficult to separate the nitrogen. the impure nitrogen so obtained may, however, be used for a study of most of the properties of nitrogen, since these are not materially affected by the presence of the other gases. ~preparation from compounds of nitrogen.~ pure nitrogen may be obtained from certain compounds of the element. thus, if heat is applied to the compound ammonium nitrite (nh_{ }no_{ }), the change represented in the following equation takes place: nh_{ }no_{ } = h_{ }o + n. ~physical properties.~ nitrogen is similar to oxygen and hydrogen in that it is a colorless, odorless, and tasteless gas. one liter of nitrogen weighs . g. it is almost insoluble in water. it can be obtained in the form of a colorless liquid having a boiling point of - ° at ordinary pressure. at - ° it solidifies. ~chemical properties.~ nitrogen is characterized by its inertness. it is neither combustible nor a supporter of combustion. at ordinary temperatures it will not combine directly with any of the elements except under rare conditions. at higher temperatures it combines with magnesium, lithium, titanium, and a number of other elements. the compounds formed are called _nitrides_, just as compounds of an element with oxygen are called _oxides_. when it is mixed with oxygen and subjected to the action of electric sparks, the two gases slowly combine forming oxides of nitrogen. a mixture of nitrogen and hydrogen when treated similarly forms ammonia, a gaseous compound of nitrogen and hydrogen. since we are constantly inhaling nitrogen, it is evident that it is not poisonous. nevertheless life would be impossible in an atmosphere of pure nitrogen on account of the exclusion of the necessary oxygen. ~argon, helium, neon, krypton, xenon.~ these are all rare elements occurring in the air in very small quantities. argon, discovered in , was the first one obtained. lord rayleigh, an english scientist, while engaged in determining the exact weights of various gases, observed that the nitrogen obtained from the air is slightly heavier than pure nitrogen obtained from its compounds. after repeating his experiments many times, always with the same results, rayleigh finally concluded that the nitrogen which he had obtained from the air was not pure, but was mixed with a small amount of some unknown gas, the density of which is greater than that of nitrogen. acting on this assumption, rayleigh, together with the english chemist ramsay, attempted to separate the nitrogen from the unknown gas. knowing that nitrogen would combine with magnesium, they passed the nitrogen obtained from the air and freed from all known substances through tubes containing magnesium heated to the necessary temperature. after repeating this operation, they finally succeeded in obtaining from the atmospheric nitrogen a small volume of gas which would not combine with magnesium and hence could not be nitrogen. this proved to be a new element, to which they gave the name _argon_. as predicted, this new element was found to be heavier than nitrogen, its density as compared with hydrogen as a standard being approximately , that of nitrogen being only . about % of the atmospheric nitrogen proved to be argon. the new element is characterized by having no affinity for other elements. even under the most favorable conditions it has not been made to combine with any other element. on this account it was given the name argon, signifying lazy or idle. like nitrogen, it is colorless, odorless, and tasteless. it has been liquefied and solidified. its boiling point is - °. helium was first found in the gases expelled from certain minerals by heating. through the agency of the spectroscope it had been known to exist in the sun long before its presence on the earth had been demonstrated,--a fact suggested by the name helium, signifying the sun. its existence in traces in the atmosphere has also been proven. it was first liquefied by onnes in july, . its boiling point, namely - °, is the lowest temperature yet reached. the remaining elements of this group--neon, krypton, and xenon--have been obtained from liquid air. when liquid air is allowed to boil, the constituents which are the most difficult to liquefy, and which therefore have the lowest boiling points, vaporize first, followed by the others in the order of their boiling points. it is possible in this way to make at least a partial separation of the air into its constituents, and ramsay thus succeeded in obtaining from liquid air not only the known constituents, including argon and helium, but also the new elements, neon, krypton, and xenon. these elements, as well as helium, all proved to be similar to argon in that they are without chemical activity, apparently forming no compounds whatever. the percentages present in the air are very small. the names, neon, krypton, xenon, signify respectively, new, hidden, stranger. exercises . how could you distinguish between oxygen, hydrogen, and nitrogen? . calculate the relative weights of nitrogen and oxygen; of nitrogen and hydrogen. . in the preparation of nitrogen from the air, how would hydrogen do as a substance for the removal of the oxygen? . what weight of nitrogen can be obtained from l. of air measured under the conditions of temperature and pressure which prevail in your laboratory? . how many grams of ammonium nitrite are necessary in the preparation of l. of nitrogen measured over water under the conditions of temperature and pressure which prevail in your laboratory? . if l. of air, measured under standard conditions, is passed over g. of hot copper, how much will the copper gain in weight? [illustration: william ramsay (scotch) ( -) has made many studies in the physical properties of substances; discovered helium; together with lord rayleigh and others he discovered argon, krypton, xenon, and neon; has contributed largely to the knowledge of radio-active substances, showing that radium gradually gives rise to helium; professor at university college, london] chapter viii the atmosphere ~atmosphere and air.~ the term _atmosphere_ is applied to the gaseous envelope surrounding the earth. the term _air_ is generally applied to a limited portion of this envelope, although the two words are often used interchangeably. many references have already been made to the composition and properties of the atmosphere. these statements must now be collected and discussed somewhat more in detail. ~air formerly regarded as an element.~ like water, air was at first regarded as elementary in character. near the close of the eighteenth century scheele, priestley, and lavoisier showed by their experiments that it is a mixture of at least two gases,--those which we now call oxygen and nitrogen. by burning substances in an inclosed volume of air and noting the contraction in volume due to the removal of the oxygen, they were able to determine with some accuracy the relative volumes of oxygen and nitrogen present in the air. ~the constituents of the atmosphere.~ the constituents of the atmosphere may be divided into two general groups: those which are essential to life and those which are not essential. . _constituents essential to life._ in addition to oxygen and nitrogen at least two other substances, namely, carbon dioxide and water vapor, must be present in the atmosphere in order that life may exist. the former of these is a gaseous compound of carbon and oxygen having the formula co_{ }. its properties will be discussed in detail in the chapter on the compounds of carbon. its presence in the air may be shown by causing the air to bubble through a solution of calcium hydroxide (ca(oh)_{ }), commonly called lime water. the carbon dioxide combines with the calcium hydroxide in accordance with the following equation: ca(oh)_{ } + co_{ } = caco_{ } + h_{ }o. the resulting calcium carbonate (caco_{ }) is insoluble in water and separates in the form of a white powder, which causes the solution to appear milky. the presence of water vapor is readily shown by its condensation on cold objects as well as by the fact that a bit of calcium chloride when exposed to the air becomes moist, and may even dissolve in the water absorbed from the air. . _constituents not essential to life._ in addition to the essential constituents, the air contains small percentages of various other gases, the presence of which so far as is known is not essential to life. this list includes the rare elements, argon, helium, neon, krypton, and xenon; also hydrogen, ammonia, hydrogen dioxide, and probably ozone. certain minute forms of life (germs) are also present, the decay of organic matter being due to their presence. ~function of each of the essential constituents.~ ( ) the oxygen directly supports life through respiration. ( ) the nitrogen, on account of its inactivity, serves to dilute the oxygen, and while contrary to the older views, it is possible that life might continue to exist in the absence of the atmospheric nitrogen, yet the conditions of life would be entirely changed. moreover, nitrogen is an essential constituent of all animal and plant life. it was formerly supposed that neither animals nor plants could assimilate the free nitrogen, but it has been shown recently that the plants of at least one natural order, the leguminosæ, to which belong the beans, peas, and clover, have the power of directly assimilating the free nitrogen from the atmosphere. this is accomplished through the agency of groups of bacteria, which form colonies in little tubercles on the roots of the plants. these bacteria probably assist in the absorption of nitrogen by changing the free nitrogen into compounds which can be assimilated by the plant. fig. shows the tubercles on the roots of a variety of bean. ( ) the presence of water vapor in the air is necessary to prevent excessive evaporation from both plants and animals. ( ) carbon dioxide is an essential plant food. [illustration: fig. ] ~the quantitative analysis of air.~ a number of different methods have been devised for the determination of the percentages of the constituents present in the atmosphere. among these are the following. . _determination of oxygen._ ( ) the oxygen is withdrawn from a measured volume of air inclosed in a tube, by means of phosphorus. to make the determination, a graduated tube is filled with water and inverted in a vessel of water. air is introduced into the tube until it is partially filled with the gas. the volume of the inclosed air is carefully noted and reduced to standard conditions. a small piece of phosphorus is attached to a wire and brought within the tube as shown in fig. . after a few hours the oxygen in the inclosed air will have combined with the phosphorus, the water rising to take its place. the phosphorus is removed and the volume is again noted and reduced to standard conditions. the contraction in the volume of the air is equal to the volume of oxygen absorbed. [illustration: fig. ] ( ) the oxygen may also be estimated by passing a measured volume of air through a tube containing copper heated to a high temperature. the oxygen in the air combines with the copper to form copper oxide (cuo). hence the increase in the weight of the copper equals the weight of the oxygen in the volume of air taken. ( ) a more accurate method is the following. a eudiometer tube is filled with mercury and inverted in a vessel of the same liquid. a convenient amount of air is then introduced into the tube and its volume accurately noted. there is then introduced more than sufficient hydrogen to combine with the oxygen present in the inclosed air, and the volume is again accurately noted. the mixture is then exploded by an electric spark, and the volume is once more taken. by subtracting this volume from the total volume of the air and hydrogen there is obtained the contraction in volume due to the union of the oxygen and hydrogen. the volume occupied by the water formed by the union of the two gases is so small that it may be disregarded in the calculation. since oxygen and hydrogen combine in the ratio : by volume, it is evident that the contraction in volume due to the combination is equal to the volume occupied by the oxygen in the air contained in the tube, plus twice this volume of hydrogen. in other words, one third of the total contraction is equal to the volume occupied by the oxygen in the inclosed air. the following example will make this clear: volume of air in tube . cc. volume after introducing hydrogen . volume after combination of oxygen and hydrogen . contraction in volume due to combination ( cc.- . cc.) . volume of oxygen in cc. of air ( / of . ) . all these methods agree in showing that volumes of dry air contain approximately volumes of oxygen. . _determination of nitrogen._ if the gas left after the removal of oxygen from a portion of air is passed over heated magnesium, the nitrogen is withdrawn, argon and the other rare elements being left. it may thus be shown that of the volumes of gas left after the removal of the oxygen from volumes of air, approximately are nitrogen and . argon. the other elements are present in such small quantities that they may be neglected. . _determination of carbon dioxide._ the percentage of carbon dioxide in any given volume of air may be determined by passing the air over calcium hydroxide or some other compound which will combine with the carbon dioxide. the increase in the weight of the hydroxide equals the weight of the carbon dioxide absorbed. the amount present in the open normal air is from to parts by volume in , volumes of air, or about . %. . _determination of water vapor._ the water vapor present in a given volume of air may be determined by passing the air over calcium chloride (or some other compound which has a strong affinity for water), and noting the increase in the weight of the chloride. the amount present varies not only with the locality, but there is a wide variation from day to day in the same locality because of the winds and changes in temperature. ~processes affecting the composition of the air.~ the most important of these processes are the following. . _respiration._ in the process of respiration some of the oxygen in the inhaled air is absorbed by the blood and carried to all parts of the body, where it combines with the carbon of the worn-out tissues. the products of oxidation are carried back to the lungs and exhaled in the form of carbon dioxide. the amount exhaled by an adult averages about l. per hour. hence in a poorly ventilated room occupied by a number of people the amount of carbon dioxide rapidly increases. while this gas is not poisonous unless present in large amounts, nevertheless air containing more than parts in , is not fit for respiration. . _combustion._ all of the ordinary forms of fuel contain large percentages of carbon. on burning, this carbon combines with oxygen in the air, forming carbon dioxide. combustion and respiration, therefore, tend to diminish the amount of oxygen in the air and to increase the amount of carbon dioxide. . _action of plants._ plants have the power, when in the sunlight, of absorbing carbon dioxide from the air, retaining the carbon and returning at least a portion of the oxygen to the air. it will be observed that these changes are just the opposite of those brought about by the processes of respiration and combustion. ~poisonous effect of exhaled air.~ the differences in the percentages of oxygen, carbon dioxide, and moisture present in inhaled air and exhaled air are shown in the following analyses. inhaled air exhaled air oxygen . % . % carbon dioxide . . moisture variable saturated the foul odor of respired air is due to the presence of a certain amount of organic matter. it is possible that this organic matter rather than the carbon dioxide is responsible for the injurious effects which follow the respiration of impure air. the extent of such organic impurities present may be judged, however, by the amount of carbon dioxide present, since the two are exhaled together. ~the cycle of carbon in nature.~ under the influence of sunlight, the carbon dioxide absorbed from the air by plants reacts with water and small amounts of other substances absorbed from the soil to form complex compounds of carbon which constitute the essential part of the plant tissue. this reaction is attended by the evolution of oxygen, which is restored to the air. the compounds resulting from these changes are much richer in their energy content than are the substances from which they are formed; hence a certain amount of energy must have been absorbed in their formation. the source of this energy is the sun's rays. if the plant is burned, the changes which took place in the formation of the compounds present are largely reversed. the carbon and hydrogen present combine with oxygen taken from the air to form carbon dioxide and water, while the energy absorbed from the sun's rays is liberated in the form of energy of heat. if, on the other hand, the plant is used as food, the compounds present are used in building up the tissues of the body. when this tissue breaks down, the changes which it undergoes are very similar to those which take place when the plant is burned. the carbon and hydrogen combine with the inhaled oxygen to form carbon dioxide and water, which are exhaled. the energy possessed by the complex substances is liberated partly in the form of energy of heat, which maintains the heat of the body, and partly in the various forms of muscular energy. the carbon originally absorbed from the air by the plant in the form of carbon dioxide is thus restored to the air and is ready to repeat the cycle of changes. ~the composition of the air is constant.~ notwithstanding the changes constantly taking place which tend to alter the composition of the air, the results of a great many analyses of air collected in the open fields show that the percentages of oxygen and nitrogen as well as of carbon dioxide are very nearly constant. indeed, so constant are the percentages of oxygen and nitrogen that the question has arisen, whether these two elements are not combined in the air, forming a definite chemical compound. that the two are not combined but are simply mixed together can be shown in a number of ways, among which are the following. . when air dissolves in water it has been found that the ratio of oxygen to nitrogen in the dissolved air is no longer : , but more nearly : . if it were a chemical compound, the ratio of oxygen to nitrogen would not be changed by solution in water. . a chemical compound in the form of a liquid has a definite boiling point. water, for example, boils at °. moreover the steam which is thus formed has the same composition as the water. the boiling point of liquid air, on the other hand, gradually rises as the liquid boils, the nitrogen escaping first followed by the oxygen. if the two were combined, they would pass off together in the ratio in which they are found in the air. ~why the air has a constant composition.~ if air is a mixture and changes are constantly taking place which tend to modify its composition, how, then, do we account for the constancy of composition which the analyses reveal? this is explained by several facts. ( ) the changes which are caused by the processes of combustion and respiration, on the one hand, and the action of plants, on the other, tend to equalize each other. ( ) the winds keep the air in constant motion and so prevent local changes. ( ) the volume of the air is so vast and the changes which occur are so small compared with the total amount of air that they cannot be readily detected. ( ) finally it must be noted that only air collected in the open fields shows this constancy in composition. the air in a poorly ventilated room occupied by a number of people rapidly changes in composition. ~the properties of the air.~ inasmuch as air is composed principally of a mixture of oxygen and nitrogen, which elements have already been discussed, its properties may be inferred largely from those of the two gases. one liter weighs . g. it is thus . times as heavy as hydrogen. at the sea level it exerts an average pressure sufficient to sustain a column of mercury mm. in height. this is taken as the standard pressure in determining the volumes of gases as well as the boiling points of liquids. water may be made to boil at any temperature between ° and considerably above ° by simply varying the pressure. it is only when the pressure upon it is equal to the normal pressure of the atmosphere at the sea level, as indicated by a barometric reading of mm., that it boils at °. ~preparation of liquid air.~ attention has been called to the fact that both oxygen and nitrogen can be obtained in the liquid state by strongly cooling the gases and applying great pressure to them. since air is largely a mixture of these two gases, it can be liquefied by the same methods. the methods for liquefying air have been simplified greatly in that the low temperature required is obtained by allowing a portion of the compressed air to expand. the expansion of a gas is always attended by the absorption of heat. in liquefying air the apparatus is so constructed that the heat absorbed is withdrawn from air already under great pressure. this process is continued until the temperature is lowered to the point of liquefaction. [illustration: fig. ] ~the dewar bulb.~ it is not possible to preserve air in the liquid state in a closed vessel, on account of the enormous pressure exerted by it in its tendency to pass into the gaseous state. it may however be preserved for some hours or even days before it will completely evaporate, by simply placing it in an open vessel surrounded by a nonconducting material. the most efficient vessel for this purpose is the _dewar bulb_ shown in fig. . the air is withdrawn from the space between the two walls, thus making it nonconducting. ~properties and uses of liquid air.~ when first prepared, liquid air is cloudy because of the presence of particles of solid carbon dioxide. these may be filtered off, leaving a liquid of slightly bluish color. it begins to boil at about - °, the nitrogen passing off first, gradually followed by the oxygen, the last portions being nearly pure oxygen. to a certain extent oxygen is now prepared in this way for commercial purposes. the extremely low temperature of liquid air may be inferred from the fact that mercury when cooled by it is frozen to a mass so hard that it may be used for driving nails. liquid air is used in the preparation of oxygen and as a cooling agent in the study of the properties of matter at low temperatures. it has thus been found that elements at extremely low temperatures largely lose their chemical activity. exercises . when oxygen and nitrogen are mixed in the proportion in which they exist in the atmosphere, heat is neither evolved nor absorbed by the process. what important point does this suggest? . what essential constituent of the air is found in larger amount in manufacturing districts than in the open country? . can you suggest any reason why the growth of clover in a field improves the soil? . why are the inner walls of a dewar bulb sometimes coated with a film of silver? . to what is the blue color of liquid air due? does this color increase in intensity on standing? . when ice is placed in a vessel containing liquid air, the latter boils violently. explain. . taking the volumes of the oxygen and nitrogen in volumes of air as and respectively, calculate the percentages of these elements present by weight. . would combustion be more intense in liquid air than in the gaseous substance? . a tube containing calcium chloride was found to weigh . g. a volume of air which weighed . g. was passed through, after which the weight of the tube was found to be . g. what was the percentage amount of moisture present in the air? . l. of air measured at ° and mm. passed through lime water caused the precipitation of . g. of caco_{ }. find the number of volumes of carbon dioxide in , volumes of the air. chapter ix solutions ~definitions.~ when a substance disappears in a liquid in such a way as to thoroughly mix with it and to be lost to sight as an individual body, the resulting liquid is called a _solution_. the liquid in which the substance dissolves is called the _solvent_, while the dissolved substance is called the _solute_. ~classes of solutions.~ matter in any one of its physical states may dissolve in a liquid, so that we may have solutions of gases, of liquids, and of solids. solutions of liquids in liquids are not often mentioned in the following pages, but the other two classes will become very familiar in the course of our study, and deserve special attention. solution of gases in liquids [illustration: fig. ] it has already been stated that oxygen, hydrogen, and nitrogen are slightly soluble in water. accurate study has led to the conclusion that all gases are soluble to some extent not only in water but in many other liquids. the amount of a gas which will dissolve in a liquid depends upon a number of conditions, and these can best be understood by supposing a vessel b (fig. ), to be filled with the gas and inverted over the liquid. under these circumstances the gas cannot escape or become mixed with another gas. ~circumstances affecting the solubility of gases.~ a number of circumstances affect the solubility of a gas in a liquid. . _nature of the gas._ other conditions being equal, each gas has its own peculiar solubility, just as it has its own special taste or odor. the solubility of gases varies between wide limits, as will be seen from the following table, but as a rule a given volume of a liquid will not dissolve more than two or three times its own volume of a gas. _solubility of gases in water_ l. of water at mm. pressure and at ° will dissolve: ammonia . l. hydrochloric acid . sulphur dioxide . carbon dioxide . oxygen . cc. hydrogen . nitrogen . in the case of very soluble gases, such as the first three in the table, it is probable that chemical combination between the liquid and the gas takes place. . _nature of the liquid._ the character of the liquid has much influence upon the solubility of a gas. water, alcohol, and ether have each its own peculiar solvent power. from the solubility of a gas in water, no prediction can be made as to its solubility in other liquids. . _influence of pressure._ it has been found that the weight of gas which dissolves in a given case is proportional to the pressure exerted upon the gas. if the pressure is doubled, the weight of gas going into solution is doubled; if the pressure is diminished to one half of its original value, half of the dissolved gas will escape. under high pressure, large quantities of gas can be dissolved in a liquid, and when the pressure is removed the gas escapes, causing the liquid to foam or _effervesce_. . _influence of temperature._ in general, the lower the temperature of the liquid, the larger the quantity of gas which it can dissolve. volumes of water at ° will dissolve . volumes of oxygen; at °, . volumes; at ° none at all. while most gases can be expelled from a liquid by boiling the solution, some cannot. for example, it is not possible to expel hydrochloric acid gas completely from its solution by boiling. solution of solids in liquids this is the most familiar class of solutions, since in the laboratory substances are much more frequently used in the form of solutions than in the solid state. ~circumstances affecting the solubility of a solid.~ the solubility of a solid in a liquid depends upon several factors. . _nature of the solid._ other conditions being the same, solids vary greatly in their solubility in liquids. this is illustrated in the following table: _table of solubility of solids at °_ cc. of water will dissolve: calcium chloride . g. sodium chloride . potassium nitrate . copper sulphate . calcium sulphate . no solids are absolutely insoluble, but the amount dissolved may be so small as to be of no significance for most purposes. thus barium sulphate, one of the most insoluble of common substances, dissolves in water to the extent of part in , . . _nature of the solvent._ liquids vary much in their power to dissolve solids. some are said to be good solvents, since they dissolve a great variety of substances and considerable quantities of them. others have small solvent power, dissolving few substances, and those to a slight extent only. broadly speaking, water is the most general solvent, and alcohol is perhaps second in solvent power. . _temperature._ the weight of a solid which a given liquid can dissolve varies with the temperature. usually it increases rapidly as the temperature rises, so that the boiling liquid dissolves several times the weight which the cold liquid will dissolve. in some instances, as in the case of common salt dissolved in water, the temperature has little influence upon the solubility, and a few solids are more soluble in cold water than in hot. the following examples will serve as illustrations: _table of solubility at ° and at °_ cc. of water will dissolve: at ° at ° calcium chloride . g. . g. sodium chloride . . potassium nitrate . . copper sulphate . . calcium sulphate . . calcium hydroxide . . ~saturated solutions.~ a liquid will not dissolve an unlimited quantity of a solid. on adding the solid to the liquid in small portions at a time, it will be found that a point is reached at which the liquid will not dissolve more of the solid at that temperature. the solid and the solution remain in contact with each other unchanged. this condition may be described by saying that they are in equilibrium with each other. a solution is said to be _saturated_ when it remains unchanged in concentration in contact with some of the solid. the weight of the solid which will completely saturate a definite volume of a liquid at a given temperature is called the _solubility_ of the substance at that temperature. ~supersaturated solutions.~ when a solution, saturated at a given temperature, is allowed to cool it sometimes happens that no solid crystallizes out. this is very likely to occur when the vessel used is perfectly smooth and the solution is not disturbed in any way. such a solution is said to be _supersaturated_. that this condition is unstable can be shown by adding a crystal of the solid to the solution. all of the solid in excess of the quantity required to saturate the solution at this temperature will at once crystallize out, leaving the solution saturated. supersaturation may also be overcome in many cases by vigorously shaking or stirring the solution. ~general physical properties of solutions.~ a few general statements may be made in reference to the physical properties of solutions. . _distribution of the solid in the liquid._ a solid, when dissolved, tends to distribute itself uniformly through the liquid, so that every part of the solution has the same concentration. the process goes on very slowly unless hastened by stirring or shaking the solution. thus, if a few crystals of a highly colored substance such as copper sulphate are placed in the bottom of a tall vessel full of water, it will take weeks for the solution to become uniformly colored. . _boiling points of solutions._ the boiling point of a liquid is raised by the presence of a substance dissolved in it. in general the extent to which the boiling point of a solvent is raised by a given substance is proportional to the concentration of the solution, that is, to the weight of the substance dissolved in a definite weight of the solvent. . _freezing points of solutions._ a solution freezes at a lower temperature than the pure solvent. the lowering of the freezing point obeys the same law which holds for the raising of the boiling point: the extent of lowering is proportional to the weight of dissolved substance, that is, to the concentration of the solution. ~electrolysis of solutions.~ pure water does not appreciably conduct the electric current. if, however, certain substances such as common salt are dissolved in the water, the resulting solutions are found to be conductors of electricity. such solutions are called _electrolytes_. when the current passes through an electrolyte some chemical change always takes place. this change is called _electrolysis_. [illustration: fig. ] the general method used in the electrolysis of a solution is illustrated in fig. . the vessel d contains the electrolyte. two plates or rods, a and b, made of suitable material, are connected with the wires from a battery (or dynamo) and dipped into the electrolyte, as shown in the figure. these plates or rods are called _electrodes_. the electrode connected with the zinc plate of the battery is the negative electrode or _cathode_, while that connected with the carbon plate is the positive electrode or _anode_. ~theory of electrolytic dissociation.~ the facts which have just been described in connection with solutions, together with many others, have led chemists to adopt a theory of solutions called _the theory of electrolytic dissociation_. the main assumptions in this theory are the following. . _formation of ions._ many compounds when dissolved in water undergo an important change. a portion of their molecules fall apart, or _dissociate_, into two or more parts, called _ions_. thus sodium nitrate (nano_{ }) dissociates into the ions na and no_{ }; sodium chloride, into the ions na and cl. these ions are free to move about in the solution independently of each other like independent molecules, and for this reason were given the name ion, which signifies a wanderer. . _the electrical charge of ions._ each ion carries a heavy electrical charge, and in this respect differs from an atom or molecule. it is evident that the sodium in the form of an ion must differ in some important way from ordinary sodium, for sodium ions, formed from sodium nitrate, give no visible evidence of their presence in water, whereas metallic sodium at once decomposes the water. the electrical charge, therefore, greatly modifies the usual chemical properties of the element. . _the positive charges equal the negative charges._ the ions formed by the dissociation of any molecule are of two kinds. one kind is charged with positive electricity and the other with negative electricity; moreover the sum of all the positive charges is always equal to the sum of all the negative charges. the solution as a whole is therefore electrically neutral. if we represent dissociation by the usual chemical equations, with the electrical charges indicated by + and - signs following the symbols, the dissociation of sodium chloride molecules is represented thus: nacl --> na^{+}, cl^{-}. the positive charge on each sodium ion exactly equals the negative charge on each chlorine ion. sodium sulphate dissociates, as shown in the equation na_{ }so_{ } --> na^{+}, so_{ }^{--}. here the positive charge on the two sodium ions equals the double negative charge on the so_{ } ion. . _not all compounds dissociate._ only those compounds dissociate whose solutions form electrolytes. thus salt dissociates when dissolved in water, the resulting solution being an electrolyte. sugar, on the other hand, does not dissociate and its solution is not a conductor of the electric current. . _extent of dissociation differs in different liquids._ while compounds most readily undergo dissociation in water, yet dissociation often occurs to a limited extent when solution takes place in liquids other than water. in the discussion of solutions it will be understood that the solvent is water unless otherwise noted. ~the theory of electrolytic dissociation and the properties of solutions.~ in order to be of value, this theory must give a reasonable explanation of the properties of solutions. let us now see if the theory is in harmony with certain of these properties. ~the theory of electrolytic dissociation and the boiling and freezing points of solutions.~ we have seen that the boiling point of a solution of a substance is raised in proportion to the concentration of the dissolved substance. this is but another way of saying that the change in the boiling point of the solution is proportional to the number of molecules of the dissolved substance present in the solution. it has been found, however, that in the case of electrolytes the boiling point is raised more than it should be to conform to this law. if the solute dissociates into ions, the reason for this becomes clear. each ion has the same effect on the boiling point as a molecule, and since their number is greater than the number of molecules from which they were formed, the effect on the boiling point is abnormally great. in a similar way, the theory furnishes an explanation of the abnormal lowering of the freezing point of electrolytes. ~the theory of electrolytic dissociation and electrolysis.~ the changes taking place during electrolysis harmonize very completely with the theory of dissociation. this will become clear from a study of the following examples. [illustration: fig. ] . _electrolysis of sodium chloride._ fig. represents a vessel in which the electrolyte is a solution of sodium chloride (nacl). according to the dissociation theory the molecules of sodium chloride dissociate into the ions na^{+} and cl^{-}. the na^{+} ions are attracted to the cathode owing to its large negative charge. on coming into contact with the cathode, the na^{+} ions give up their positive charge and are then ordinary sodium atoms. they immediately decompose the water according to the equation na + h_{ }o = naoh + h, and hydrogen is evolved about the cathode. the chlorine ions on being discharged at the anode in similar manner may either be given off as chlorine gas, or may attack the water, as represented in the equation cl + h_{ }o = hcl + o. . _electrolysis of water._ the reason for the addition of sulphuric acid to water in the preparation of oxygen and hydrogen by electrolysis will now be clear. water itself is not an electrolyte to an appreciable extent; that is, it does not form enough ions to carry a current. sulphuric acid dissolved in water is an electrolyte, and dissociates into the ions h^{+} and so_{ }^{--}. in the process of electrolysis of the solution, the hydrogen ions travel to the cathode, and on being discharged escape as hydrogen gas. the so_{ } ions, when discharged at the anode, act upon water, setting free oxygen and once more forming sulphuric acid: so_{ } + h_{ }o = h_{ }so_{ } + o. the sulphuric acid can again dissociate and the process repeat itself as long as any water is left. hence the hydrogen and oxygen set free in the electrolysis of water really come directly from the acid but indirectly from the water. . _electrolysis of sodium sulphate._ in a similar way, sodium sulphate (na_{ }so_{ }), when in solution, gives the ions na^{+} and so_{ }^{--}. on being discharged, the sodium atoms decompose water about the cathode, as in the case of sodium chloride, while the so_{ } ions when discharged at the anode decompose the water, as represented in the equation so_{ } + h_{ }o = h_{ }so_{ } + o [illustration: fig. ] that new substances are formed at the cathode and anode may be shown in the following way. a u-tube, such as is represented in fig. , is partially filled with a solution of sodium sulphate, and the liquid in one arm is colored with red litmus, that in the other with blue litmus. an electrode placed in the red solution is made to serve as cathode, while one in the blue solution is made the anode. on allowing the current to pass, the blue solution turns red, while the red solution turns blue. these are exactly the changes which would take place if sodium hydroxide and sulphuric acid were to be set free at the electrodes, as required by the theory. ~the properties of electrolytes depend upon the ions present.~ when a substance capable of dissociating into ions is dissolved in water, the properties of the solution will depend upon two factors: ( ) the ions formed from the substance; ( ) the undissociated molecules. since the ions are usually more active chemically than the molecules, most of the chemical properties of an electrolyte are due to the ions rather than to the molecules. the solutions of any two substances which give the same ion will have certain properties in common. thus all solutions containing the copper ion (cu^{++}) are blue, unless the color is modified by the presence of ions or molecules having some other color. exercises . distinguish clearly between the following terms: electrolysis, electrolyte, electrolytic dissociation, ions, solute, solvent, solution, saturated solution, and supersaturated solution. . why does the water from some natural springs effervesce? . (a) why does not the water of the ocean freeze? (b) why will ice and salt produce a lower temperature than ice alone? . why does shaking or stirring make a solid dissolve more rapidly in a liquid? . by experiment it was found that a certain volume of water was saturated at ° with g. of potassium nitrate. on cooling to ° a portion of the substance crystallized. (a) how many grams of the substance remained in solution? (b) what was the strength of the solution at °? (c) how much water had been used in the experiment? . (a) g. of common salt were dissolved in water and the solution evaporated to dryness; what weight of solid was left? (b) g. of zinc were dissolved in hydrochloric acid and the solution evaporated to dryness; what weight of solid was left? . account for the fact that sugar sometimes deposits from molasses, even when no evaporation has taken place. . (a) from the standpoint of the theory of electrolytic dissociation, write the simple equation for a dilute solution of copper sulphate (cuso_{ }); this solution is blue. (b) in the same manner, write one for sodium sulphate; this solution is colorless. (c) how would you account for the color of the copper sulphate solution? . (a) as in the preceding exercise, write a simple equation for a dilute solution of copper chloride (cucl_{ }); this solution is blue. (b) in the same manner, write one for sodium chloride; this solution is colorless. to what is the blue color due? . what component is present in concentrated sulphuric acid that is almost wanting in very dilute sulphuric acid? . why will vegetables cook faster when boiled in strong salt water than when boiled in pure water? . how do you explain the foaming of soda water? chapter x acids, bases, and salts; neutralization ~acids, bases, and salts.~ the three classes of compounds known respectively as acids, bases, and salts include the great majority of the compounds with which we shall have to deal. it is important, therefore, for us to consider each of these classes in a systematic way. the individual members belonging to each class will be discussed in detail in the appropriate places, but a few representatives of each class will be described in this chapter with special reference to the common properties in accordance with which they are classified. ~the familiar acids.~ _hydrochloric acid_ is a gas composed of hydrogen and chlorine, and has the formula hcl. the substance is very soluble in water, and it is this solution which is usually called hydrochloric acid. _nitric acid_ is a liquid composed of hydrogen, nitrogen, and oxygen, having the formula hno_{ }. as sold commercially it is mixed with about % of water. _sulphuric acid_, whose composition is represented by the formula h_{ }so_{ }, is an oily liquid nearly twice as heavy as water, and is commonly called _oil of vitriol_. ~characteristics of acids.~ ( ) all acids contain hydrogen. ( ) when dissolved in water the molecules of the acid dissociate into two kinds of ions. one of these is always hydrogen and is the cation (+), while the other consists of the remainder of the molecule and is the anion (-). ( ) the solution tastes sour. ( ) it has the power to change the color of certain substances called _indicators_. thus blue litmus is changed to red, and yellow methyl orange is changed to red. since all acids produce hydrogen cations, while the anions of each are different, the properties which all acids have in common when in solution, such as taste and action on indicators, must be attributed to the hydrogen ions. definition: _an acid is a substance which produces hydrogen ions when dissolved in water or other dissociating liquids._ ~undissociated acids.~ when acids are perfectly free from water, or are dissolved in liquids like benzene which do not have the power of dissociating them into ions, they should have no real acid properties. this is found to be the case. under these circumstances they do not affect the color of indicators or have any of the properties characteristic of acids. the familiar bases. the bases most used in the laboratory are sodium hydroxide (naoh), potassium hydroxide (koh), and calcium hydroxide (ca(oh)_{ }). these are white solids, soluble in water, the latter sparingly so. some bases are very difficultly soluble in water. the very soluble ones with most pronounced basic properties are sometimes called the _alkalis_. ~characteristics of bases.~ ( ) all bases contain hydrogen and oxygen. ( ) when dissolved in water the molecules of the base dissociate into two kinds of ions. one of these is always composed of oxygen and hydrogen and is the anion. it has the formula oh and is called the _hydroxyl ion_. the remainder of the molecule, which usually consists of a single atom, is the cation. ( ) the solution of a base has a soapy feel and a brackish taste. ( ) it reverses the color change produced in indicators by acids, turning red litmus blue, and red methyl orange yellow. since all bases produce hydroxyl anions, while the cations of each are different, the properties which all bases have in common when in solution must be due to the hydroxyl ions. definition: _a base is a substance which produces hydroxyl ions when dissolved in water or other dissociating liquids._ ~undissociated bases.~ bases, in the absence of water or when dissolved in liquids which do not dissociate them, should have none of the properties characteristic of this class of substances. this has been found to be the case. for example, they have no effect upon indicators under these circumstances. ~neutralization.~ when an acid and a base are brought together in solution in proper proportion, the characteristic properties of each disappear. the solution tastes neither sour nor brackish; it has no effect upon indicators. there can therefore be neither hydrogen nor hydroxyl ions present in the solution. a study of reactions of this kind has shown that the hydrogen ions of the acid combine with the hydroxyl ions of the base to form molecules of water, water being a substance which is not appreciably dissociated into ions. this action of an acid on a base is called _neutralization_. the following equations express the neutralization of the three acids by three bases, water being formed in each case. na^{+}, oh^{-} + h^{+}, cl^{-} = na^{+}, cl^{-} + h_{ }o. k^{+}, oh^{-} + h^{+}, no_{ }^{-} = k^{+}, no_{ }^{-} + h_{ }o. ca^{++}, (oh)_{ }^{--} + h_{ }^{++}, so_{ }^{--} = ca^{++}, so_{ }^{--} + h_{ }o. definition: _neutralization consists in the union of the hydrogen ion of an acid with the hydroxyl ion of a base to form water._ ~salts.~ it will be noticed that in neutralization the anion of the acid and the cation of the base are not changed. if, however, the water is expelled by evaporation, these two ions slowly unite, and when the water becomes saturated with the substance so produced, it separates in the form of a solid called a _salt_. definition: _a salt is a substance formed by the union of the anion of an acid with the cation of a base._ ~characteristics of salts.~ ( ) from the definition of a salt it will be seen that there is no element or group of elements which characterize salts. ( ) salts as a class have no peculiar taste. ( ) in the absence of all other substances they are without action on indicators. ( ) when dissolved in water they form two kinds of ions. ~heat of neutralization.~ if neutralization is due to the union of hydrogen ions with hydroxyl ions, and nothing more, it follows that when a given weight of water is formed in neutralization, the heat set free should always be the same, no matter from what acid and base the two kinds of ions have been supplied. careful experiments have shown that this is the case, provided no other reactions take place at the same time. when g. of water are formed in neutralization, , cal. of heat are set free. this is represented in the equations na^{+}, oh^{-} + h^{+}, cl^{-} = na^{+}, cl^{-} + h_{ }o + , cal. k^{+}, oh^{-} + h^{+}, no_{ }^{-} = k^{+}, no_{ }^{-} + h_{ }o + , cal. ca^{++}, (oh)_{ }^{--} + h_{ }^{++}, so_{ }^{--} = ca^{++}, so_{ }^{--} + h_{ }o + × , cal. ~neutralization a quantitative act.~ since neutralization is a definite chemical act, each acid will require a perfectly definite weight of each base for its neutralization. for example, a given weight of sulphuric acid will always require a definite weight of sodium hydroxide, in accordance with the equation h_{ }, so_{ } + na, oh = na_{ }, so_{ } + h_{ }o. ~determination of the ratio in neutralization.~ the quantities of acid and base required in neutralization may be determined in the following way. dilute solutions of the two substances are prepared, the sulphuric acid being placed in one of the burettes (fig. ) and the sodium hydroxide in the other. the levels of the two liquids are then brought to the zero marks of the burettes by means of the stopcocks. a measured volume of the acid is drawn off into a beaker, a few drops of litmus solution added, and the sodium hydroxide is run in drop by drop until the red litmus just turns blue. the volume of the sodium hydroxide consumed is then noted. if the concentrations of the two solutions are known, it is easy to calculate what weight of sodium hydroxide is required to neutralize a given weight of sulphuric acid. by evaporating the neutralized solution to dryness, the weight of the sodium sulphate formed can be determined directly. experiment shows that the weights are always in accordance with the equation in the preceding paragraph. [illustration: fig. ] ~extent of dissociation.~ the question will naturally arise, when an acid, base, or salt dissolves in water, do all the molecules dissociate into ions, or only a part of them? the experiments by which this question can be answered cannot be described here. it has been found, however, that only a fraction of the molecules dissociate. the percentage which will dissociate in a given case depends upon several conditions, the chief of which are: ( ) the concentration of the solution. in concentrated solutions only a very small percentage of dissociation occurs. as the solution is diluted the percentage increases, and in very dilute solutions it may be very large, though it is never complete in any ordinary solution. ( ) the nature of the dissolved compound. at equal concentrations substances differ much among themselves in the percentage of dissociation. the great majority of salts are about equally dissociated. acids and bases, on the contrary, show great differences. some are freely dissociated, while others are dissociated to but a slight extent. ~strength of acids and bases.~ since acid and basic properties are due to hydrogen and hydroxyl ions respectively, the acid or base which will produce the greatest percentage of these ions at a given concentration must be regarded as the strongest representative of its class. the acids and bases described in the foregoing paragraphs are all quite strong. in % solutions they are dissociated to about %, and this is also approximately the extent to which most salts are dissociated at this same concentration. ~partial neutralization.~ . _basic salts._ the chemical action between an acid and a base is not always as complete as has been represented in the foregoing paragraphs. for example, if the base magnesium hydroxide (mg(oh)_{ }) and hydrochloric acid (hcl) are brought together in the ratio of an equal number of molecules of each, there will be only half enough hydrogen ions for the hydroxyl ions present. mg, (oh)_{ } + h, cl = mg, oh, cl + h_{ }o. magnesium, hydroxyl, and chlorine ions are left at the close of the reaction, and under the proper conditions unite to form molecules of the compound mg(oh)cl. this compound, when dissolved, can form hydroxyl ions and therefore possesses basic properties; it can also form the ions of a salt (mg and cl), and has properties characteristic of salts. substances of this kind are called _basic salts._ definition: _a basic salt is a substance which can give the ions both of a base and of a salt when dissolved in water._ . _acid salts._ in a similar way, when sulphuric acid and sodium hydroxide are brought together in the ratio of equal numbers of the molecules of each, it is possible to have a reaction expressed by the equation na, oh + h_{ }, so_{ } = na, h, so_{ } + h_{ }o. the ions remaining after all the hydroxyl ions have been used up are those of an acid (h) and those of a salt (na and so_{ }). these unite to form the substance nahso_{ }, and as the solution becomes saturated with this substance through evaporation, it separates in the form of crystals. in solution this substance can give hydrogen ions, and therefore possesses acid properties; it can also give the ions characteristic of a salt. it is therefore called an _acid salt_. definition: _an acid salt is one which can give the ions of an acid and of a salt when in solution._ . _normal salts._ salts which are the products of complete neutralization, such as na_{ }so_{ }, and which in solution can give neither hydrogen nor hydroxyl ions, but only the ions of a salt, are called _normal salts_ to distinguish them from acid and basic salts. ~methods of expressing reactions between compounds in solution.~ chemical equations representing reactions between substances in solution may represent the details of the reaction, or they may simply indicate the final products formed. in the latter case the formation of ions is not indicated. thus, if we wish to call attention to the details of the reaction between sodium hydroxide and hydrochloric acid in solution, the equation is written as follows: na^{+}, oh^{-} + h^{+}, cl^{-} = na^{+}, cl^{-} + h_{ }o. on the other hand, if we wish simply to represent the final products formed, the following is used. naoh + hcl = nacl + h_{ }o. both of these methods will therefore be used: ~radicals.~ it has been emphasized that the hydroxyl group (oh) always forms the anion of a base, while the group no_{ } forms the anion of nitric acid and sodium nitrate; the group so_{ }, the anion of sulphuric acid and calcium sulphate. a group of elements which in this way constitutes a part of a molecule, acting as a unit in a chemical change, or forming ions in solution, is called a _radical_. some of these radicals have been given special names, the names signifying the elements present in the radical. thus we have the hydroxyl radical (oh) and the nitrate radical (no_{ }). definition: _a radical is a group of elements forming part of a molecule, and acting as a unit in chemical reactions._ ~names of acids, bases, and salts.~ since acids, bases, and salts are so intimately related to each other, it is very advantageous to give names to the three classes in accordance with some fixed system. the system universally adopted is as follows: ~naming of bases.~ all bases are called _hydroxides_. they are distinguished from each other by prefixing the name of the element which is in combination with the hydroxyl group. examples: sodium hydroxide (naoh); calcium hydroxide (ca(oh)_{ }); copper hydroxide (cu(oh)_{ }). ~naming of acids.~ the method of naming acids depends upon whether the acid consists of two elements or three. . _binary acids._ acids containing only one element in addition to hydrogen are called _binary acids_. they are given names consisting of the prefix _hydro-_, the name of the second element present, and the termination _-ic_. examples: hydrochloric acid (hcl); hydrosulphuric acid (h_{ }s). . _ternary acids._ in addition to the two elements present in binary acids, the great majority of acids also contain oxygen. they therefore consist of three elements and are called _ternary acids_. it usually happens that the same three elements can unite in different proportions to make several different acids. the most familiar one of these is given a name ending in the suffix _-ic_, while the one with less oxygen is given a similar name, but ending in the suffix _-ous_. examples: nitric acid (hno_{ }); nitrous acid (hno_{ }). in cases where more than two acids are known, use is made of prefixes in addition to the two suffixes _-ic_ and _-ous_. thus the prefix _per-_ signifies an acid still richer in oxygen; the prefix _hypo-_ signifies one with less oxygen. ~naming of salts.~ a salt derived from a binary acid is given a name consisting of the names of the two elements composing it, with the termination _-ide_. example: sodium chloride (nacl). all other binary compounds are named in the same way. a salt of a ternary acid is named in accordance with the acid from which it is derived. a ternary acid with the termination _-ic_ gives a salt with the name ending in _-ate_, while an acid with termination _-ous_ gives a salt with the name ending in _-ite_. the following table will make the application of these principles clear: acids symbol salts symbol hydrochloric hcl sodium chloride nacl hypochlorous hclo sodium hypochlorite naclo chlorous hclo_{ } sodium chlorite naclo_{ } chloric hclo_{ } sodium chlorate naclo_{ } perchloric hclo_{ } sodium perchlorate naclo_{ } exercises . cc. of a solution containing g. of sodium hydroxide per liter was found to neutralize cc. of a solution of hydrochloric acid. what was the strength of the acid solution? . after neutralizing a solution of sodium hydroxide with nitric acid, there remained after evaporation g. of sodium nitrate. how much of each substance had been used? . a solution contains g. of hydrochloric acid per cc. it required cc. of this solution to neutralize cc. of a solution of sodium hydroxide. what was the strength of the sodium hydroxide solution in parts per hundred? . when perfectly dry sulphuric acid is treated with perfectly dry sodium hydroxide, no chemical change takes place. explain. . when cold, concentrated sulphuric acid is added to zinc, no change takes place. recall the action of dilute sulphuric acid on the same metal. how do you account for the difference? . a solution of hydrochloric acid in benzene does not conduct the electric current. when this solution is treated with zinc, will hydrogen be evolved? explain. . (a) write equation for preparation of hydrogen from zinc and dilute sulphuric acid. (b) rewrite the same equation from the standpoint of the theory of electrolytic dissociation, (c) subtract the common so_{ } ion from both members of the equation, (d) from the resulting equation, explain in what the preparation of hydrogen consists when examined from the standpoint of this theory. . in the same manner as in the preceding exercise, explain in what the action of sodium on water to give hydrogen consists. chapter xi valence ~definition of valence.~ a study of the formulas of various binary compounds shows that the elements differ between themselves in the number of atoms of other elements which they are able to hold in combination. this is illustrated in the formulas hcl, h_{ }o, h_{ }n, h_{ }c. (hydrochloric acid) (water) (ammonia) (marsh gas) it will be noticed that while one atom of chlorine combines with one atom of hydrogen, an atom of oxygen combines with two, an atom of nitrogen with three, one of carbon with four. the number which expresses this combining ratio between atoms is a definite property of each element and is called its _valence_. definition: _the valence of an element is that property which determines the number of the atoms of another element which its atom can hold in combination._ ~valence a numerical property.~ valence is therefore merely a numerical relation and does not convey any information in regard to the intensity of the affinity between atoms. judging by the heat liberated in their union, oxygen has a far stronger affinity for hydrogen than does nitrogen, but an atom of oxygen can combine with two atoms only of hydrogen, while an atom of nitrogen can combine with three. ~measure of valence.~ in expressing the valence of an element we must select some standard for comparison, just as in the measurement of any other numerical quantity. it has been found that an atom of hydrogen is never able to hold in combination more than one atom of any other element. hydrogen is therefore taken as the standard, and other elements are compared with it in determining their valence. a number of other elements are like hydrogen in being able to combine with at most one atom of other elements, and such elements are called _univalent_. among these are chlorine, iodine, and sodium. elements such as oxygen, calcium, and zinc, which can combine with two atoms of hydrogen or other univalent elements, are said to be _divalent_. similarly, we have _trivalent, tetravalent, pentavalent_ elements. none have a valence of more than . ~indirect measure of valence.~ many elements, especially among the metals, do not readily form compounds with hydrogen, and their valence is not easy to determine by direct comparison with the standard element. these elements, however, combine with other univalent elements, such as chlorine, and their valence can be determined from the compounds so formed. ~variable valence.~ many elements are able to exert different valences under differing circumstances. thus we have the compounds cu_{ }o and cuo, co and co_{ }, fecl_{ } and fecl_{ }. it is not always possible to assign a fixed valence to an element. nevertheless each element tends to exert some normal valence, and the compounds in which it has a valence different from this are apt to be unstable and easily changed into compounds in which the valence of the element is normal. the valences of the various elements will become familiar as the elements are studied in detail. ~valence and combining ratios.~ when elements combine to form compounds, the ratio in which they combine will be determined by their valences. in those compounds which consist of two elements directly combined, the union is between such numbers of the two atoms as have equal valences. elements of the same valence will therefore combine atom for atom. designating the valence of the atoms by roman numerals placed above their symbols, we have the formulas ii ii ii iii iii iv iv hcl, zno, bn, csi. a divalent element, on the other hand, will combine with two atoms of a univalent element. thus we have ii ii ii ii zncl_{ } and h_{ }o (the numerals above each symbol representing the sum of the valences of the atoms of the element present). a trivalent atom will combine with three atoms of a univalent element, as in the compound iii iii h_{ }n. if a trivalent element combines with a divalent element, the union will be between two atoms of the trivalent element and three of the divalent element, since these numbers are the smallest which have equal valences. thus the oxide of the trivalent metal aluminium has the formula al_{ }o_{ }. finally one atom of a tetravalent element such as carbon will combine with four atoms of a univalent element, as in the compound ch_{ }, or with two atoms of a divalent element, as in the compound co_{ }. we have no knowledge as to why elements differ in their combining power, and there is no way to determine their valences save by experiment. ~valence and the structure of compounds.~ compounds will be met from time to time which are apparent exceptions to the general statements just made in regard to valence. thus, from the formula for hydrogen dioxide (h_{ }o_{ }), it might be supposed that the oxygen is univalent; yet it is certainly divalent in water (h_{ }o). that it may also be divalent in h_{ }o_{ } may be made clear as follows: the unit valence of each element may be represented graphically by a line attached to its symbol. univalent hydrogen and divalent oxygen will then have the symbols h- and -o-. when atoms combine, each unit valence of one atom combines with a unit valence of another atom. thus the composition of water may be expressed by the formula h-o-h, which is meant to show that each of the unit valences of oxygen is satisfied with the unit valence of a single hydrogen atom. the chemical conduct of hydrogen dioxide leads to the conclusion that the two oxygen atoms of its molecule are in direct combination with each other, and in addition each is in combination with a hydrogen atom. this may be expressed by the formula h-o-o-h. the oxygen in the compound is therefore divalent, just as it is in water. it will thus be seen that the structure of a compound must be known before the valences of the atoms making up the compound can be definitely decided upon. such formulas as h-o-h and h-o-o-h are known as _structural formulas_, because they are intended to show what is known in regard to the arrangement of the atoms in the molecules. ~valence and the replacing power of atoms.~ just as elements having the same valence combine with each other atom for atom, so if they replace each other in a chemical reaction they will do so in the same ratio. this is seen in the following equations, in which a univalent hydrogen atom is replaced by a univalent sodium atom: naoh + hcl = nacl + h_{ }o. naoh + h_{ }so_{ } = na_{ }so_{ } + h_{ }o. na + h_{ }o = naoh + h. similarly, one atom of divalent calcium will replace two atoms of univalent hydrogen or one of divalent zinc: ca(oh)_{ } + hcl = cacl_{ } + h_{ }o. cacl_{ } + znso_{ } = caso_{ } + zncl_{ }. in like manner, one atom of a trivalent element will replace three of a univalent element, or two atoms will replace three atoms of a divalent element. ~valence and its applications to formulas of salts.~ while the true nature of valence is not understood and many questions connected with the subject remain unanswered, yet many of the main facts are of much help to the student. thus the formula of a salt, differs from that of the acid from which it is derived in that the hydrogen of the acid has been replaced by a metal. if, then, it is known that a given metal forms a normal salt with a certain acid, the formula of the salt can at once be determined if the valence of the metal is known. since sodium is univalent, the sodium salts of the acids hcl and h_{ }so_{ } will be respectively nacl and na_{ }so_{ }. one atom of divalent zinc will replace hydrogen atoms, so that the corresponding zinc salts will be zncl_{ } and znso_{ }. the formula for aluminium sulphate is somewhat more difficult to determine. aluminium is trivalent, and the simplest ratio in which the aluminium atom can replace the hydrogen in sulphuric acid is atoms of aluminium ( valences) to molecules of sulphuric acid ( hydrogen atoms). the formula of the sulphate will then be al_{ }(so_{ })_{ }. ~valence and its application to equation writing.~ it will be readily seen that a knowledge of valence is also of very great assistance in writing the equations for reactions of double decomposition. thus, in the general reaction between an acid and a base, the essential action is between the univalent hydrogen ion and the univalent hydroxyl ion. the base and the acid must always be taken in such proportions as to secure an equal number of each of these ions. thus, in the reaction between ferric hydroxide (fe(oh)_{ }) and sulphuric acid (h_{ }so_{ }), it will be necessary to take molecules of the former and of the latter in order to have an equal number of the two ions, namely, . the equation will then be fe(oh)_{ } + h_{ }so_{ } = fe_{ }(so_{ })_{ } + h_{ }o. under certain conditions the salts al_{ }(so_{ })_{ } and cacl_{ } undergo double decomposition, the two metals, aluminium and calcium, exchanging places. the simplest ratio of exchange in this case is atoms of aluminium ( valences) and atoms of calcium ( valences). the reaction will therefore take place between molecule of al_{ }(so_{ })_{ } and of cacl_{ }, and the equation is as follows: al_{ }(so_{ })_{ } + cacl_{ } = caso_{ } + alcl_{ }. exercises . sodium, calcium, and aluminium have valences of , , and respectively; write the formulas of their chlorides, sulphates, and phosphates (phosphoric acid = h_{ }po_{ }), on the supposition that they form salts having the normal composition. . iron forms one series of salts in which it has a valence of , and another series in which it has a valence of ; write the formulas for the two chlorides of iron, also for the two sulphates, on the supposition that these have the normal composition. . write the equation representing the neutralization of each of the following bases by each of the acids whose formulas are given: naoh hcl ba(oh)_{ } h_{ }so_{ } al(oh)_{ } h_{ }po_{ } . silver acts as a univalent element and calcium as a divalent element in the formation of their respective nitrates and chlorides. (a) write the formula for silver nitrate; for calcium chloride. (b) when solutions of these two salts are mixed, the two metals, silver and calcium, exchange places; write the equation for the reaction. _ ._ antimony acts as a trivalent element in the formation of a chloride. (a) what is the formula for antimony chloride? (b) when hydrosulphuric acid (h_{ }s) is passed into a solution of this chloride the hydrogen and antimony exchange places; write the equation for the reaction. . lead has a valence of and iron of in the compounds known respectively as lead nitrate and ferric sulphate. (a) write the formulas for these two compounds. (b) when their solutions are mixed the two metals exchange places; write the equation for the reaction. chapter xii compounds of nitrogen ~occurrence.~ as has been stated in a former chapter, nitrogen constitutes a large fraction of the atmosphere. the compounds of nitrogen, however, cannot readily be obtained from this source, since at any ordinary temperature nitrogen is able to combine directly with very few of the elements. in certain forms of combination nitrogen occurs in the soil from which it is taken up by plants and built into complex substances composed chiefly of carbon, hydrogen, oxygen, and nitrogen. animals feeding on these plants assimilate the nitrogenous matter, so that this element is an essential constituent of both plants and animals. ~decomposition of organic matter by bacteria.~ when living matter dies and undergoes decay complicated chemical reactions take place, one result of which is that the nitrogen of the organic matter is set free either as the element nitrogen, or in the form of simple compounds, such as ammonia (nh_{ }) or oxides of nitrogen. experiment has shown that all such processes of decay are due to the action of different kinds of bacteria, each particular kind effecting a different change. ~decomposition of organic matter by heat.~ when organic matter is strongly heated decomposition into simpler substances takes place in much the same way as in the case of bacterial decomposition. coal is a complex substance of vegetable origin, consisting largely of carbon, but also containing hydrogen, oxygen, and nitrogen. when this is heated in a closed vessel so that air is excluded, about one seventh of the nitrogen is converted into ammonia, and this is the chief source from which ammonia and its compounds are obtained. compounds of nitrogen with hydrogen ~ammonia~ (nh_{ }). several compounds consisting exclusively of nitrogen and hydrogen are known, but only one, ammonia, need be considered here. ~preparation of ammonia.~ ammonia is prepared in the laboratory by a different method from the one which is used commercially. . _laboratory method._ in the laboratory ammonia is prepared from ammonium chloride, a compound having the formula nh_{ }cl, and obtained in the manufacture of coal gas. as will be shown later in the chapter, the group nh_{ } in this compound acts as a univalent radical and is known as _ammonium_. when ammonium chloride is warmed with sodium hydroxide, the ammonium and sodium change places, the reaction being expressed in the following equation. nh_{ }cl + naoh = nacl + nh_{ }oh. the ammonium hydroxide (nh_{ }oh) so formed is unstable and breaks down into water and ammonia. nh_{ }oh = nh_{ } + h_{ }o. calcium hydroxide (ca(oh)_{ }) is frequently used in place of the more expensive sodium hydroxide, the equations being nh_{ }cl + ca(oh)_{ } = cacl_{ } + nh_{ }oh, nh_{ }oh = h_{ }o + nh_{ }. in the preparation, the ammonium chloride and calcium hydroxide are mixed together and placed in a flask arranged as shown in fig. . the mixture is gently warmed, when ammonia is evolved as a gas and is collected by displacement of air. [illustration: fig. ] . _commercial method._ nearly all the ammonia of commerce comes from the gasworks. ordinary illuminating gas is made by distilling coal, as will be explained later, and among the products of this distillation a solution of ammonia in water is obtained. this solution, known as _gas liquor_, contains not only ammonia but other soluble substances. most of these combine chemically with lime, while ammonia does not; if then lime is added to the gas liquor and the liquor is heated, the ammonia is driven out from the mixture. it may be dissolved again in pure, cold water, forming _aqua ammonia_, or the ammonia water of commerce. ~preparation from hydrogen and nitrogen.~ when electric sparks are passed for some time through a mixture of hydrogen and nitrogen, a small percentage of the two elements in the mixture is changed into ammonia. the action soon ceases, however, for the reason that ammonia is decomposed by the electric discharge. the reaction expressed in the equation n + h = nh_{ } can therefore go in either direction depending upon the relative quantities of the substances present. this recalls the similar change from oxygen into ozone, which soon ceases because the ozone is in turn decomposed into oxygen. ~physical properties.~ under ordinary conditions ammonia is a gas whose density is . . it is therefore little more than half as heavy as air. it is easily condensed into a colorless liquid, and can now be purchased in liquid form in steel cylinders. the gas is colorless and has a strong, suffocating odor. it is extremely soluble in water, l. of water at ° and mm. pressure dissolving l. of the gas. in dissolving this large volume of gas the water expands considerably, so that the density of the solution is less than that of water, the strongest solutions having a density of . . ~chemical properties.~ ammonia will not support combustion, nor will it burn under ordinary conditions. in an atmosphere of oxygen it burns with a feeble, yellowish flame. when quite dry it is not a very active substance, but when moist it combines with a great many substances, particularly with acids. ~uses.~ it has been stated that ammonia can be condensed to a liquid by the application of pressure. if the pressure is removed from the liquid so obtained, it rapidly passes again into the gaseous state and in so doing absorbs a large amount of heat. advantage is taken of this fact in the preparation of artificial ice. large quantities of ammonia are also used in the preparation of ammonium compounds. ~the manufacture of artificial ice.~ fig. illustrates the method of preparing artificial ice. the ammonia gas is liquefied in the pipes x by means of the pump y. the heat generated is absorbed by water flowing over the pipes. the pipes lead into a large brine tank, a cross section of which is shown in the figure. into the brine (concentrated solution of common salt) contained in this tank are dipped the vessels a, b, c, filled with pure water. the pressure is removed from the liquid ammonia as it passes into the pipes immersed in the brine, and the heat absorbed by the rapid evaporation of the liquid lowers the temperature of the brine below zero. the water in a, b, c is thereby frozen into cakes of ice. the gaseous ammonia resulting from the evaporation of the liquid ammonia is again condensed, so that the process is continuous. [illustration fig. ] ~ammonium hydroxide~ (nh_{ }oh). the solution of ammonia in water is found to have strong basic properties and therefore contains hydroxyl ions. it turns red litmus blue; it has a soapy feel; it neutralizes acids, forming salts with them. it seems probable, therefore, that when ammonia dissolves in water it combines chemically with it according to the equation nh_{ } + h_{ }o = nh_{ }oh, and that it is the substance nh_{ }oh, called ammonium hydroxide, which has the basic properties, dissociating into the ions nh_{ } and oh. ammonium hydroxide has never been obtained in a pure state. at every attempt to isolate it the substance breaks up into water and ammonia,-- nh_{ }oh = nh_{ } + h_{ }o. ~the ammonium radical.~ the radical nh_{ } plays the part of a metal in many chemical reactions and is called ammonium. the ending _-ium_ is given to the name to indicate the metallic properties of the substance, since the names of the metals in general have that ending. the salts formed by the action of the base ammonium hydroxide on acids are called ammonium salts. thus, with hydrochloric acid, ammonium chloride is formed in accordance with the equation nh_{ }oh + hcl = nh_{ }cl + h_{ }o. similarly, with nitric acid, ammonium nitrate (nh_{ }no_{ }) is formed, and with sulphuric acid, ammonium sulphate ((nh_{ })_{ }s _{ }). it will be noticed that in the neutralization of ammonium hydroxide by acids the group nh_{ } replaces one hydrogen atom of the acid, just as sodium does. the group therefore acts as a univalent metal. ~combination of nitrogen with hydrogen by volume.~ under suitable conditions ammonia can be decomposed into nitrogen and hydrogen by passing electric sparks through the gas. accurate measurement has shown that when ammonia is decomposed, two volumes of the gas yield one volume of nitrogen and three volumes of hydrogen. consequently, if the two elements were to combine directly, one volume of nitrogen would combine with three volumes of hydrogen to form two volumes of ammonia. here, as in the formation of steam from hydrogen and oxygen, small whole numbers serve to indicate the relation between the volumes of combining gases and that of the gaseous product. compounds of nitrogen with oxygen and hydrogen in addition to ammonium hydroxide, nitrogen forms several compounds with hydrogen and oxygen, of which nitric acid (hno_{ }) and nitrous acid (hno_{ }) are the most familiar. ~nitric acid~ (hno_{ }). nitric acid is not found to any extent in nature, but some of its salts, especially sodium nitrate (nano_{ }) and potassium nitrate (kno_{ }) are found in large quantities. from these salts nitric acid can be obtained. [illustration fig. ] ~preparation of nitric acid.~ when sodium nitrate is treated with concentrated cold sulphuric acid, no chemical action seems to take place. if, however, the mixture is heated in a retort, nitric acid is given off as a vapor and may be easily condensed to a liquid by passing the vapor into a tube surrounded by cold water, as shown in fig. . an examination of the liquid left in the retort shows that it contains sodium acid sulphate (nahso_{ }), so that the reaction may be represented by the equation nano_{ } + h_{ }so_{ } = nahso_{ } + hno_{ }. if a smaller quantity of sulphuric acid is taken and the mixture is heated to a high temperature, normal sodium sulphate is formed: nano_{ } + h_{ }so_{ } = na_{ }so_{ } + hno_{ }. in this case, however, the higher temperature required decomposes a part of the nitric acid. ~the commercial preparation of nitric acid.~ fig. illustrates a form of apparatus used in the preparation of nitric acid on a large scale. sodium nitrate and sulphuric acid are heated in the iron retort a. the resulting acid vapors pass in the direction indicated by the arrows, and are condensed in the glass tubes b, which are covered with cloth kept cool by streams of water. these tubes are inclined so that the liquid resulting from the condensation of the vapors runs back into c and is drawn off into large vessels (d). [illustration fig. ] ~physical properties of nitric acid.~ pure nitric acid is a colorless liquid, which boils at about ° and has a density of . . the concentrated acid of commerce contains about % of the acid, the remainder being water. such a mixture has a density of . . the concentrated acid fumes somewhat in moist air, and has a sharp choking odor. ~chemical properties.~ the most important chemical properties of nitric acid are the following. . _acid properties._ as the name indicates, this substance is an acid, and has all the properties of that class of substances. it changes blue litmus red and has a sour taste in dilute solutions. it forms hydrogen ions in solution and neutralizes bases forming salts. it also acts upon the oxides of most metals, forming a salt and water. it is one of the strongest acids. . _decomposition on heating._ when boiled, or exposed for some time to sunlight, it suffers a partial decomposition according to the equation hno_{ } = h_{ }o + no_{ } + o. the substance no_{ }, called nitrogen peroxide, is a brownish gas, which is readily soluble in water and in nitric acid. it therefore dissolves in the undecomposed acid, and imparts a yellowish or reddish color to it. concentrated nitric acid highly charged with this substance is called _fuming nitric acid_. . _oxidizing action._ according to its formula, nitric acid contains a large percentage of oxygen, and the reaction just mentioned shows that the compound is not a very stable one, easily undergoing decomposition. these properties should make it a good oxidizing agent, and we find that this is the case. under ordinary circumstances, when acting as an oxidizing agent, it is decomposed according to the equation hno_{ } = h_{ }o + no + o. the oxygen is taken up by the substance oxidized, and not set free, as is indicated in the equation. thus, if carbon is oxidized by nitric acid, the oxygen combines with carbon, forming carbon dioxide (co_{ }): c + o = co_{ }. . _action on metals._ we have seen that when an acid acts upon a metal hydrogen is set free. accordingly, when nitric acid acts upon a metal, such as copper, we should expect the reaction to take place which is expressed in the equation cu + hno_{ } = cu(no_{ })_{ } + h. this reaction does take place, but the hydrogen set free is immediately oxidized to water by another portion of the nitric acid according to the equation hno_{ } + h = h_{ }o + no. as these two equations are written, two atoms of hydrogen are given off in the first equation, while three are used up in the second. in order that the hydrogen may be equal in the two equations, we must multiply the first by and the second by . we shall then have cu + hno_{ } = cu(no_{ })_{ } + h, hno_{ } + h = h_{ }o + no. the two equations may now be combined into one by adding the quantities on each side of the equality sign, canceling the hydrogen which is given off in the one reaction and used up in the other. we shall then have the equation cu + hno_{ } = cu(no_{ })_{ } + no + h_{ }o. a number of other reactions may take place when nitric acid acts upon metals, resulting in the formation of other oxides of nitrogen, free nitrogen, or even ammonia. the reaction just given is, however, the usual one. ~importance of steps in a reaction.~ this complete equation has the advantage of making it possible to calculate very easily the proportions in which the various substances enter into the reaction or are formed in it. it is unsatisfactory in that it does not give full information about the way in which the reaction takes place. for example, it does not suggest that hydrogen is at first formed, and subsequently transformed into water. it is always much more important to remember the steps in a chemical reaction than to remember the equation expressing the complete action; for if these steps in the reaction are understood, the complete equation is easily obtained in the manner just described. ~salts of nitric acid,--nitrates.~ the salts of nitric acid are called nitrates. many of these salts will be described in the study of the metals. they are all soluble in water, and when heated to a high temperature undergo decomposition. in a few cases a nitrate on being heated evolves oxygen, forming a nitrite: nano_{ } = nano_{ } + o. in other cases the decomposition goes further, and the metal is left as oxide: cu(no_{ })_{ } = cuo + no_{ } + o. ~nitrous acid~ (hno_{ }). it is an easy matter to obtain sodium nitrite (nano_{ }), as the reaction given on the previous page indicates. instead of merely heating the nitrate, it is better to heat it together with a mild reducing agent, such as lead, when the reaction takes place which is expressed by the equation nano_{ } + pb = pbo + nano_{ }. when sodium nitrite is treated with an acid, such as sulphuric acid, it is decomposed and nitrous acid is set free: nano_{ } + h_{ }so_{ } = nahso_{ } + hno_{ }. the acid is very unstable, however, and decomposes readily into water and nitrogen trioxide (n_{ }o_{ }): hno_{ } = h_{ }o + n_{ }o_{ }. dilute solutions of the acid, however, can be obtained. compounds of nitrogen with oxygen nitrogen combines with oxygen to form five different oxides. the formulas and names of these are as follows: n_{ }o nitrous oxide. no nitric oxide. no_{ } nitrogen peroxide. n_{ }o_{ } nitrogen trioxide, or nitrous anhydride. n_{ }o_{ } nitrogen pentoxide, or nitric anhydride. these will now be briefly discussed. ~nitrous oxide~ (_laughing gas_) (n_{ }o). ammonium nitrate, like all nitrates, undergoes decomposition when heated; and owing to the fact that it contains no metal, but does contain both oxygen and hydrogen, the reaction is a peculiar one. it is represented by the equation nh_{ }no_{ } = h_{ }o + n_{ }o. the oxide of nitrogen so formed is called nitrous oxide or laughing gas. it is a colorless gas having a slight odor. it is somewhat soluble in water, and in solution has a slightly sweetish taste. it is easily converted into a liquid and can be purchased in this form. when inhaled it produces a kind of hysteria (hence the name "laughing gas"), and even unconsciousness and insensibility to pain if taken in large amounts. it has long been used as an anæsthetic for minor surgical operations, such as those of dentistry, but owing to its unpleasant after effects it is not so much in use now as formerly. chemically, nitrous oxide is remarkable for the fact that it is a very energetic oxidizing agent. substances such as carbon, sulphur, iron, and phosphorus burn in it almost as brilliantly as in oxygen, forming oxides and setting free nitrogen. evidently the oxygen in nitrous oxide cannot be held in very firm combination by the nitrogen. [illustration fig. ] ~nitric oxide~ (no). we have seen that when nitric acid acts upon metals, such as copper, the reaction represented by the following equation takes place: cu + hno_{ } = cu(no_{ })_{ } + no + h_{ }o. nitric oxide is most conveniently prepared in this way. the metal is placed in the flask a (fig. ) and the acid added slowly through the funnel tube b. the gas escapes through c and is collected over water. pure nitric oxide is a colorless gas, slightly heavier than air, and is practically insoluble in water. it is a difficult gas to liquefy. unlike nitrous oxide, nitric oxide does not part with its oxygen easily, and burning substances introduced into this gas are usually extinguished. a few substances like phosphorus, which have a very strong affinity for oxygen and which are burning energetically in the air, will continue to burn in an atmosphere of nitric oxide. in this case the nitric oxide loses all of its oxygen and the nitrogen is set free as gas. ~action of nitric oxide with oxygen.~ when nitric oxide comes into contact with oxygen or with the air, it at once combines with the oxygen even at ordinary temperatures, forming a reddish-yellow gas of the formula no_{ }, which is called nitrogen peroxide. this action is not energetic enough to produce a flame, though considerable heat is set free. ~nitrogen peroxide~ (no_{ }). this gas, as we have just seen, is formed by allowing nitric oxide to come into contact with oxygen. it can also be made by heating certain nitrates, such as lead nitrate: pb(no_{ })_{ } = pbo + no_{ } + o. it is a reddish-yellow gas of unpleasant odor, which is quite poisonous when inhaled. it is heavier than air and is easily condensed to a liquid. it dissolves in water, but this solution is not a mere physical solution; the nitrogen peroxide is decomposed, forming a mixture of nitric and nitrous acids: no_{ } + h_{ }o = hno_{ } + hno_{ }. nitrogen peroxide will not combine with more oxygen; it will, however, give up a part of its oxygen to burning substances, acting as an oxidizing agent: no_{ } = no + o. ~acid anhydrides.~ the oxides n_{ }o_{ } (nitrogen trioxide) and n_{ }o_{ } (nitrogen pentoxide) are rarely prepared and need not be separately described. they bear a very interesting relation to the acids of nitrogen. when dissolved in water they combine with the water, forming acids: n_{ }o_{ } + h_{ }o = hno_{ }, n_{ }o_{ } + h_{ }o = hno_{ }. on the other hand, nitrous acid very easily decomposes, yielding water and nitrogen trioxide, and by suitable means nitric acid likewise may be decomposed into water and nitrogen pentoxide: hno_{ } = h_{ }o + n_{ }o_{ }, hno_{ } = h_{ }o + n_{ }o_{ }. in view of the close relation between these oxides and the corresponding acids, they are called _anhydrides_ of the acids, n_{ }o_{ } being nitrous anhydride and n_{ }o_{ } nitric anhydride. definition: _any oxide which will combine with water to form an acid, or which together with water is formed by the decomposition of an acid, is called an anhydride of that acid._ exercises . perfectly dry ammonia does not affect litmus paper. explain. . can ammonia be dried by passing the gas through concentrated sulphuric acid? explain. . ammonium hydroxide is a weak base, i.e. it is not highly dissociated. when it is neutralized by strong acids the heat of reaction is less than when strong bases are so neutralized. suggest some possible cause for this. . why is brine used in the manufacture of artificial ice? . discuss the energy changes which take place in the manufacture of artificial ice. . what weight of ammonium chloride is necessary to furnish enough ammonia to saturate l. of water at ° and mm.? . what weight of sodium nitrate is necessary to prepare cc. of commercial nitric acid? what weight of potassium nitrate is necessary to furnish the same weight of acid? . l. of nitrogen peroxide were dissolved in water and neutralized with sodium hydroxide. what substances were formed and how much of each?( l. nitrogen peroxide weighs . grams.) . how many liters of nitrous oxide, measured under standard conditions, can be prepared from g. of ammonium nitrate? . what weight of copper is necessary to prepare l. of nitric oxide under standard conditions? . (a) calculate the percentage composition of the oxides of nitrogen. (b) what important law does this series of substances illustrate? . write the equations representing the reactions between ammonium hydroxide, and sulphuric acid and nitric acid respectively, in accordance with the theory of electrolytic dissociation. . in the same way, write the equations representing the reactions between nitric acid and each of the following bases: naoh, koh, nh_{ }oh, ca(oh)_{ }. chapter xiii reversible reactions and chemical equilibrium ~reversible reactions.~ the reactions so far considered have been represented as continuing, when once started, until one or the other substance taking part in the reaction has been used up. in some reactions this is not the case. for example, we have seen that when steam is passed over hot iron the reaction is represented by the equation fe + h_{ }o = fe_{ }o_{ } + h. on the other hand, when hydrogen is passed over hot iron oxide the reverse reaction takes place: fe_{ }o_{ } + h = fe + h_{ }o. the reaction can therefore go in either direction, depending upon the conditions of the experiment. such a reaction is called a _reversible reaction_. it is represented by an equation with double arrows in place of the equality sign, thus: fe + h_{ }o <--> fe_{ }o_{ } + h. in a similar way, the equation n + h <--> nh_{ } expresses the fact that under some conditions nitrogen may unite with hydrogen to form ammonia, while under other conditions ammonia decomposes into nitrogen and hydrogen. the conversion of oxygen into ozone is also reversible and may be represented thus: oxygen <--> ozone. ~chemical equilibrium.~ reversible reactions do not usually go on to completion in one direction unless the conditions under which the reaction takes place are very carefully chosen. thus, if iron and steam are confined in a heated tube, the steam acts upon the iron, producing iron oxide and hydrogen. but these substances in turn act upon each other to form iron and steam once more. when these two opposite reactions go on at such rates that the weight of the iron changed into iron oxide is just balanced by the weight of the iron oxide changed into iron, there will be no further change in the relative weights of the four substances present in the tube. the reaction is then said to have reached an equilibrium. ~factors which determine the point of equilibrium.~ there are two factors which have a great deal of influence in determining the point at which a given reaction will reach equilibrium. . _influence of the chemical nature of the substances._ if two reversible reactions of the same general kind are selected, it has been found that the point of equilibrium is different in the two cases. for example, in the reactions represented by the equations fe + h_{ }o <--> fe_{ }o_{ } + h, zn + h_{ }o <--> zno + h, the equilibrium will be reached when very different quantities of the iron and zinc have been changed into oxides. the individual chemical properties of the iron and zinc have therefore marked influence upon the point at which equilibrium will be reached. . _influence of relative mass._ if the tube in which the reaction fe + h_{ }o <--> fe_{ }o_{ } + h has come to an equilibrium is opened and more steam is admitted, an additional quantity of the iron will be changed into iron oxide. if more hydrogen is admitted, some of the oxide will be reduced to metal. the point of equilibrium is therefore dependent upon the relative masses of the substances taking part in the reaction. when one of the substances is a solid, however, its mass has little influence, since it is only the extent of its surface which can affect the reaction. ~conditions under which reversible reactions are complete.~ if, when the equilibrium between iron and steam has been reached, the tube is opened and a current of steam is passed in, the hydrogen is swept away as fast as it is formed. the opposing reaction of hydrogen upon iron oxide must therefore cease, and the action of steam on the iron will go on until all of the iron has been transformed into iron oxide. on the other hand, if a current of hydrogen is admitted into the tube, the steam will be swept away by the hydrogen, and all of the iron oxide will be reduced to iron. _a reversible reaction can therefore be completed in either direction when one of the products of the reaction is removed as fast as it is formed._ ~equilibrium in solution.~ when reactions take place in solution in water the same general principles hold good. the matter is not so simple, however, as in the case just described, owing to the fact that many of the reactions in solution are due to the presence of ions. the substances most commonly employed in solution are acids, bases, or salts, and all of these undergo dissociation. any equilibrium which may be reached in solutions of these substances must take place between the various ions formed, on the one hand, and the undissociated molecules, on the other. thus, when nitric acid is dissolved in water, equilibrium is reached in accordance with the equation h^{+} + no_{ }^{-} <--> hno_{ }. ~conditions under which reversible reactions in solution are complete.~ the equilibrium between substances in solution may be disturbed and the reaction caused to go on in one direction to completion in either of three ways. . _a gas may be formed which escapes from the solution._ when sodium nitrate and sulphuric acid are brought together in solution all four ions, na^{+}, no_{ }^{-}, h^{+}, so_{ }^{--}, are formed. these ions are free to rearrange themselves in various combinations. for example, the h^{+} and the no_{ }^{-} ions will reach the equilibrium h^{+} + no_{ }^{-} <--> hno_{ }. if the experiment is performed with very little water present, as is the case in the preparation of nitric acid, the equilibrium will be reached when most of the h^{+} and the no_{ }^{-} ions have combined to form undissociated hno_{ }. finally, if the mixture is now heated above the boiling point of nitric acid, the acid distills away as fast as it is formed. more and more h^{+} and no_{ }^{-} ions will then combine, and the process will continue until one or the other of them has all been removed from the solution. the substance remaining is sodium acid sulphate (nahso_{ }), and the reaction can therefore be expressed by the equation nano_{ } + h_{ }so_{ } = nahso_{ } + hno_{ }. . _an insoluble solid may be formed._ when hydrochloric acid (hcl) and silver nitrate (agno_{ }) are brought together in solution the following ions will be present: h^{+}, cl^{-}, ag^{+}, no_{ }^{-}. the ions ag^{+} and cl^{-} will then set up the equilibrium ag^{+} + cl^{-} <--> agcl. but silver chloride (agcl) is almost completely insoluble in water, and as soon as a very little of it has formed the solution becomes supersaturated, and the excess of the salt precipitates. more silver and chlorine ions then unite, and this continues until practically all of the silver or the chlorine ions have been removed from the solution. we then say that the following reaction is complete: agno_{ } + hcl = agcl + hno_{ }. . _two different ions may form undissociated molecules._ in the neutralization of sodium hydroxide by hydrochloric acid the ions h^{+} and oh^{-} come to the equilibrium h^{+} + oh^{-} <--> h_{ }o. but since water is almost entirely undissociated, equilibrium can only be reached when there are very few hydroxyl or hydrogen ions present. consequently the two ions keep uniting until one or the other of them is practically removed from the solution. when this occurs the neutralization expressed in the following equation is complete: naoh + hcl = h_{ }o + nacl. ~preparation of acids.~ the principle of reversible reactions finds practical application in the preparation of most of the common acids. an acid is usually prepared by treating the most common of its salts with some other acid of high boiling point. the mixture is then heated until the lower boiling acid desired distills out. owing to its high boiling point ( °), sulphuric acid is usually employed for this purpose, most other acids boiling below that temperature. exercises . what would take place when solutions of silver nitrate and sodium chloride are brought together? what other chlorides would act in the same way? . is the reaction expressed by the equation nh_{ } + h_{ }o = nh_{ }oh reversible? if so, state the conditions under which it will go in each direction. . is the reaction expressed by the equation h + o = h_{ }o reversible? if so, state the conditions under which it will go in each direction. . suggest a method for the preparation of hydrochloric acid. chapter xiv sulphur and its compounds ~occurrence.~ the element sulphur has been known from the earliest times, since it is widely distributed in nature and occurs in large quantities in the uncombined form, especially in the neighborhood of volcanoes. sicily has long been famous for its sulphur mines, and smaller deposits are found in italy, iceland, mexico, and especially in louisiana, where it is mined extensively. in combination, sulphur occurs abundantly in the form of sulphides and sulphates. in smaller amounts it is found in a great variety of minerals, and it is a constituent of many animal and vegetable substances. ~extraction of sulphur.~ sulphur is prepared from the native substance, the separation of crude sulphur from the rock and earthy materials with which it is mixed being a very simple process. the ore from the mines is merely heated until the sulphur melts and drains away from the earthy impurities. the crude sulphur obtained in this way is distilled in a retort-shaped vessel made of iron, the exit tube of which opens into a cooling chamber of brickwork. when the sulphur vapor first enters the cooling chamber it condenses as a fine crystalline powder called _flowers of sulphur_. as the condensing chamber becomes warm, the sulphur collects as a liquid in it, and is drawn off into cylindrical molds, the product being called _roll sulphur_ or _brimstone_. ~physical properties.~ roll sulphur is a pale yellow, crystalline solid, without marked taste and with but a faint odor. it is insoluble in water, but is freely soluble in a few liquids, notably in carbon disulphide. roll sulphur melts at . °. just above the melting point it forms a rather thin, straw-colored liquid. as the temperature is raised, this liquid turns darker in color and becomes thicker, until at about ° it is almost black and is so thick that the vessel containing it can be inverted without danger of the liquid running out. at higher temperatures it becomes thin once more, and boils at °, forming a yellowish vapor. on cooling the same changes take place in reverse order. ~varieties of sulphur.~ sulphur is known in two general forms, crystalline and amorphous. each of these forms exists in definite modifications. ~crystalline sulphur.~ sulphur occurs in two crystalline forms, namely, rhombic sulphur and monoclinic sulphur. . _rhombic sulphur._ when sulphur crystallizes from its solution in carbon disulphide it separates in crystals which have the same color and melting point as roll sulphur, and are rhombic in shape. roll sulphur is made up of minute rhombic crystals. . _monoclinic sulphur._ when melted sulphur is allowed to cool until a part of the liquid has solidified, and the remaining liquid is then poured off, it is found that the solid sulphur remaining in the vessel has assumed the form of fine needle-shaped crystals. these differ much in appearance from the rhombic crystals obtained by crystallizing sulphur from its solution in carbon disulphide. the needle-shaped form is called _monoclinic sulphur_. the two varieties differ also in density and in melting point, the monoclinic sulphur melting at °. monoclinic and rhombic sulphur remain unchanged in contact with each other at °. above this temperature the rhombic changes into monoclinic; at lower temperatures the monoclinic changes into rhombic. the temperature ° is therefore called the transition point of sulphur. heat is set free when monoclinic sulphur changes into rhombic. ~amorphous sulphur.~ two varieties of amorphous sulphur can be readily obtained. these are white sulphur and plastic sulphur. . _white sulphur._ flowers of sulphur, the preparation of which has been described, consists of a mixture of rhombic crystals and amorphous particles. when treated with carbon disulphide, the crystals dissolve, leaving the amorphous particles as a white residue. . _plastic sulphur._ when boiling sulphur is poured into cold water it assumes a gummy, doughlike form, which is quite elastic. this can be seen in a very striking manner by distilling sulphur from a small, short-necked retort, such as is represented in fig. , and allowing the liquid to run directly into water. in a few days it becomes quite brittle and passes over into ordinary rhombic sulphur. [illustration fig. ] ~chemical properties of sulphur.~ when sulphur is heated to its kindling temperature in oxygen or in the air it burns with a pale blue flame, forming sulphur dioxide (so_{ }). small quantities of sulphur trioxide (so_{ }) may also be formed in the combustion of sulphur. most metals when heated with sulphur combine directly with it, forming metallic sulphides. in some cases the action is so energetic that the mass becomes incandescent, as has been seen in the case of iron uniting with sulphur. this property recalls the action of oxygen upon metals, and in general the metals which combine readily with oxygen are apt to combine quite readily with sulphur. ~uses of sulphur.~ large quantities of sulphur are used as a germicide in vineyards, also in the manufacture of gunpowder, matches, vulcanized rubber, and sulphuric acid. compounds of sulphur with hydrogen ~hydrosulphuric acid~ (h_{ }s). this substance is a gas having the composition expressed by the formula h_{ }s and is commonly called hydrogen sulphide. it is found in the vapors issuing from volcanoes, and in solution in the so-called sulphur waters of many springs. it is formed when organic matter containing sulphur undergoes decay, just as ammonia is formed under similar circumstances from nitrogenous matter. ~preparation.~ hydrosulphuric acid is prepared in the laboratory by treating a sulphide with an acid. iron sulphide (fes) is usually employed: fes + hcl = fecl_{ } + h_{ }s. a convenient apparatus is shown in fig. . a few lumps of iron sulphide are placed in the bottle a, and dilute acid is added in small quantities at a time through the funnel tube b, the gas escaping through the tube c. [illustration: fig. ] ~explanation of the reaction.~ iron sulphide is a salt of hydrosulphuric acid, and this reaction is therefore similar to the one which takes place when sulphuric acid acts upon a nitrate. in both cases a salt and an acid are brought together, and there is a tendency for the reaction to go on until a state of equilibrium is reached. this equilibrium is constantly disturbed by the escape of the gaseous acid set free, so that the reaction goes on until all of the original salt has been decomposed. the two reactions differ in that the first one is complete at ordinary temperatures, while in the case of sulphuric acid acting upon sodium nitrate, the reacting substances must be heated so as to secure a temperature at which nitric acid is a gas. ~physical properties.~ hydrosulphuric acid is a colorless gas, having a weak, disagreeable taste and an exceedingly offensive odor. it is rather sparingly soluble in water at ordinary temperatures, about three volumes dissolving in one of water. in boiling water it is not soluble at all. in pure form it acts as a violent poison, and even when diluted largely with air produces headache, dizziness, and nausea. it is a little heavier than air, having a density of . . ~chemical properties.~ the most important chemical properties of hydrosulphuric acid are the following: . _acid properties._ hydrosulphuric acid is a weak acid. in solution in water it turns blue litmus red and neutralizes bases, forming salts called _sulphides_. . _action on oxygen._ the elements composing hydrosulphuric acid have each a strong affinity for oxygen, and are not held together very firmly. consequently the gas burns readily in oxygen or the air, according to the equation h_{ }s + o = h_{ }o + so_{ }. when there is not enough oxygen for both the sulphur and the hydrogen, the latter element combines with the oxygen and the sulphur is set free: h_{ }s + o = h_{ }o + s. . _reducing action._ owing to the ease with which hydrosulphuric acid decomposes and the strong affinity of both sulphur and hydrogen for oxygen, the substance is a strong reducing agent, taking oxygen away from many substances which contain it. . _action on metals._ hydrosulphuric acid acts towards metals in a way very similar to water. thus, when it is passed over heated iron in a tube, the reaction is represented by the equation fe + h_{ }s = fe_{ }s_{ } + h. water in the form of steam, under similar circumstances, acts according to the equation fe + h_{ }o = fe_{ }o_{ } + h. ~salts of hydrosulphuric acid,--sulphides.~ the salts of hydrosulphuric acid, called sulphides, form an important class of salts. many of them are found abundantly in nature, and some of them are important ores. they will be frequently mentioned in connection with the metals. most of the sulphides are insoluble in water, and some of them are insoluble in acids. consequently, when hydrosulphuric acid is passed into a solution of a salt, it often happens that a sulphide is precipitated. with copper chloride the equation is cucl_{ } + h_{ }s = cus + hcl. because of the fact that some metals are precipitated in this way as sulphides while others are not, hydrosulphuric acid is extensively used in the separation of the metals in the laboratory. ~explanation of the reaction.~ when hydrosulphuric acid and copper chloride are brought together in solution, both copper and sulphur ions are present, and these will come to an equilibrium, as represented in the equation cu^{+} + s^{-} <--> cus. since copper sulphide is almost insoluble in water, as soon as a very small quantity has formed the solution becomes supersaturated, and the excess keeps precipitating until nearly all the copper or sulphur ions have been removed from the solution. with some other ions, such as iron, the sulphide formed does not saturate the solution, and no precipitate results. oxides of sulphur sulphur forms two well-known compounds with oxygen: sulphur dioxide (so_{ }), sometimes called sulphurous anhydride; and sulphur trioxide (so_{ }), frequently called sulphuric anhydride. ~sulphur dioxide~ (so_{ }). sulphur dioxide occurs in nature in the gases issuing from volcanoes, and in solution in the water of many springs. it is likely to be found wherever sulphur compounds are undergoing oxidation. ~preparation.~ three general ways may be mentioned for the preparation of sulphur dioxide: . _by the combustion of sulphur._ sulphur dioxide is readily formed by the combustion of sulphur in oxygen or the air: s + o = so_{ }. it is also formed when substances containing sulphur are burned: zns + o = zno + so_{ }. . _by the reduction of sulphuric acid._ when concentrated sulphuric acid is heated with certain metals, such as copper, part of the acid is changed into copper sulphate, and part is reduced to sulphurous acid. the latter then decomposes into sulphur dioxide and water, the complete equation being cu + h_{ }so_{ } = cuso_{ } + so_{ } + h_{ }o. . _by the action of an acid on a sulphite._ sulphites are salts of sulphurous acid (h_{ }so_{ }). when a sulphite is treated with an acid, sulphurous acid is set free, and being very unstable, decomposes into water and sulphur dioxide. these reactions are expressed in the equations na_{ }so_{ } + hcl = nacl + h_{ }so_{ }, h_{ }so_{ } = h_{ }o + so_{ }. ~explanation of the reaction.~ in this case we have two reversible reactions depending on each other. in the first reaction, ( ) na_{ }so_{ } + hcl <--> nacl + h_{ }so_{ }, we should expect an equilibrium to result, for none of the four substances in the equation are insoluble or volatile when water is present to hold them in solution. but the quantity of the h_{ }so_{ } is constantly diminishing, owing to the fact that it decomposes, as represented in the equation ( ) h_{ }so_{ } <--> h_{ }o + so_{ }, and the sulphur dioxide, being a gas, escapes. no equilibrium can therefore result, since the quantity of the sulphurous acid is constantly being diminished because of the escape of sulphur dioxide. ~physical properties.~ sulphur dioxide is a colorless gas, which at ordinary temperatures is . times as heavy as air. it has a peculiar, irritating odor. the gas is very soluble in water, one volume of water dissolving eighty of the gas under standard conditions. it is easily condensed to a colorless liquid, and can be purchased in this condition stored in strong bottles, such as the one represented in fig. . [illustration: fig. ] ~chemical properties.~ sulphur dioxide has a marked tendency to combine with other substances, and is therefore an active substance chemically. it combines with oxygen gas, but not very easily. it can, however, take oxygen away from some other substances, and is therefore a good reducing agent. its most marked chemical property is its ability to combine with water to form sulphurous acid (h_{ }so_{ }). ~sulphurous acid~ (h_{ }so_{ }). when sulphur dioxide dissolves in water it combines chemically with it to form sulphurous acid, an unstable substance having the formula h_{ }so_{ }. it is impossible to prepare this acid in pure form, as it breaks down very easily into water and sulphur dioxide. the reaction is therefore reversible, and is expressed by the equation h_{ }o + so_{ } <--> h_{ }so_{ }. solutions of the acid in water have a number of interesting properties. . _acid properties._ the solution has all the properties typical of an acid. when neutralized by bases, sulphurous acid yields a series of salts called _sulphites_. . _reducing properties._ solutions of sulphurous acid act as good reducing agents. this is due to the fact that sulphurous acid has the power of taking up oxygen from the air, or from substances rich in oxygen, and is changed by this reaction into sulphuric acid: h_{ }so_{ } + o = h_{ }so_{ }, h_{ }so_{ } + h_{ }o_{ } = h_{ }s _{ } + h_{ }o. . _bleaching properties._ sulphurous acid has strong bleaching properties, acting upon many colored substances in such a way as to destroy their color. it is on this account used to bleach paper, straw goods, and even such foods as canned corn. . _antiseptic properties._ sulphurous acid has marked antiseptic properties, and on this account has the power of arresting fermentation. it is therefore used as a preservative. ~salts of sulphurous acid,--sulphites.~ the sulphites, like sulphurous acid, have the power of taking up oxygen very readily, and are good reducing agents. on account of this tendency, commercial sulphites are often contaminated with sulphates. a great deal of sodium sulphite is used in the bleaching industry, and as a reagent for softening paper pulp. ~sulphur trioxide~ (so_{ }). when sulphur dioxide and oxygen are heated together at a rather high temperature, a small amount of sulphur trioxide (so_{ }) is formed, but the reaction is slow and incomplete. if, however, the heating takes place in the presence of very fine platinum dust, the reaction is rapid and nearly complete. [illustration: fig. ] ~ experimental preparation of sulphur trioxide.~ the experiment can be performed by the use of the apparatus shown in fig. , the fine platinum being secured by moistening asbestos fiber with a solution of platinum chloride and igniting it in a flame. the fiber, covered with fine platinum, is placed in a tube of hard glass, which is then heated with a burner to about °, while sulphur dioxide and air are passed into the tube. union takes place at once, and the strongly fuming sulphur trioxide escapes from the jet at the end of the tube, and may be condensed by surrounding the receiving tube with a freezing mixture. ~properties of sulphur trioxide.~ sulphur trioxide is a colorless liquid, which solidifies at about ° and boils at °. a trace of moisture causes it to solidify into a mass of silky white crystals, somewhat resembling asbestos fiber in appearance. in contact with the air it fumes strongly, and when thrown upon water it dissolves with a hissing sound and the liberation of a great deal of heat. the product of this reaction is sulphuric acid, so that sulphur trioxide is the anhydride of that acid: so_{ } + h_{ }o = h_{ }so_{ }. ~catalysis.~ it has been found that many chemical reactions, such as the union of sulphur dioxide with oxygen, are much influenced by the presence of substances which do not themselves seem to take a part in the reaction, and are left apparently unchanged after it has ceased. these reactions go on very slowly under ordinary circumstances, but are greatly hastened by the presence of the foreign substance. substances which hasten very slow reactions in this way are said to act as catalytic agents or _catalyzers_, and the action is called _catalysis_. just how the action is brought about is not well understood. definition: _a catalyzer is a substance which changes the velocity of a reaction, but does not change its products._ ~examples of catalysis.~ we have already had several instances of such action. oxygen and hydrogen combine with each other at ordinary temperatures in the presence of platinum powder, while if no catalytic agent is present they do not combine in appreciable quantities until a rather high temperature is reached. potassium chlorate, when heated with manganese dioxide, gives up its oxygen at a much lower temperature than when heated alone. hydrogen dioxide decomposes very rapidly when powdered manganese dioxide is sifted into its concentrated solution. on the other hand, the catalytic agent sometimes retards chemical action. for example, a solution of hydrogen dioxide decomposes more slowly when it contains a little phosphoric acid than when perfectly pure. for this reason commercial hydrogen dioxide always contains phosphoric acid. many reactions are brought about by the catalytic action of traces of water. for example, phosphorus will not burn in oxygen in the absence of all moisture. hydrochloric acid will not unite with ammonia if the reagents are perfectly dry. it is probable that many of the chemical transformations in physiological processes, such as digestion, are assisted by certain substances acting as catalytic agents. the principle of catalysis is therefore very important. ~sulphuric acid~ (_oil of vitriol_) (h_{ }so_{ }). sulphuric acid is one of the most important of all manufactured chemicals. not only is it one of the most common reagents in the laboratory, but enormous quantities of it are used in many of the industries, especially in the refining of petroleum, the manufacture of nitroglycerin, sodium carbonate, and fertilizers. ~manufacture of sulphuric acid.~ . _contact process_. the reactions taking place in this process are represented by the following equations: so_{ } + o = so_{ }, so_{ } + h_{ }o = h_{ }so_{ }. to bring about the first of these reactions rapidly, a catalyzer is employed, and the process is carried out in the following way: large iron tubes are packed with some porous material, such as calcium and magnesium sulphates, which contains a suitable catalytic substance scattered through it. the catalyzers most used are platinum powder, vanadium oxide, and iron oxide. purified sulphur dioxide and air are passed through the tubes, which are kept at a temperature of about °. sulphur trioxide is formed, and as it issues from the tube it is absorbed in water or dilute sulphuric acid. the process is continued until all the water in the absorbing vessel has been changed into sulphuric acid, so that a very concentrated acid is made in this way. an excess of the trioxide may dissolve in the strong sulphuric acid, forming what is known as _fuming sulphuric acid_. . _chamber process._ the method of manufacture exclusively employed until recent years, and still in very extensive use, is much more complicated. the reactions are quite involved, but the conversion of water, sulphur dioxide, and oxygen into sulphuric acid is accomplished by the catalytic action of oxides of nitrogen. the reactions are brought about in large lead-lined chambers, into which oxides of nitrogen, sulphur dioxide, steam, and air are introduced in suitable proportions. ~reactions of the chamber process.~ in a very general way, the various reactions which take place in the lead chambers may be expressed in two equations. in the first reaction sulphur dioxide, nitrogen peroxide, steam, and oxygen unite, as shown in the equation ( ) so_{ } + no_{ } + h_{ }o + o = so_{ } (oh) (no_{ }). the product formed in this reaction is called nitrosulphuric acid or "chamber crystals." it actually separates on the walls of the chambers when the process is not working properly. under normal conditions, it is decomposed as fast as it is formed by the action of excess of steam, as shown in the equation ( ) so_{ } (oh) (no_{ }) + h_{ }o + o = h_{ }so_{ } + no_{ }. the nitrogen dioxide formed in this reaction can now enter into combination with a new quantity of sulphur dioxide, steam, and oxygen, and the series of reactions go on indefinitely. many other reactions occur, but these two illustrate the principle of the process. the relation between sulphuric acid and nitrosulphuric acid can be seen by comparing their structural formulas: o= -oh o= -oh s s o= -oh o= -no_{ } the latter may be regarded as derived from the former by the substitution of the nitro group (no_{ }) for the hydroxyl group (oh). [illustration: fig. ] ~the sulphuric acid plant.~ fig. illustrates the simpler parts of a plant used in the manufacture of sulphuric acid by the chamber process. sulphur or some sulphide, as fes_{ }, is burned in furnace a. the resulting sulphur dioxide, together with air and some nitrogen peroxide, are conducted into the large chambers, the capacity of each chamber being about , cu. ft. steam is also admitted into these chambers at different points. these compounds react to form sulphuric acid, according to the equations given above. the nitrogen left after the withdrawal of the oxygen from the admitted air escapes through the gay-lussac tower x. in order to prevent the escape of the oxides of nitrogen regenerated in the reaction, the tower is filled with lumps of coke, over which trickles concentrated sulphuric acid admitted from y. the nitrogen peroxide dissolves in the acid and the resulting solution collects in h. this is pumped into e, where it is mixed with dilute acid and allowed to trickle down through the chamber d (glover tower), which is filled with some acid-resisting rock. here the nitrogen peroxide is expelled from the solution by the action of the hot gases entering from a, and together with them enters the first chamber again. the acid from which the nitrogen peroxide is expelled collects in f. theoretically, a small amount of nitrogen peroxide would suffice to prepare an unlimited amount of sulphuric acid; practically, some of it escapes, and this is replaced by small amounts admitted at b. the sulphuric acid so formed, together with the excess of condensed steam, collect upon the floor of the chambers in the form of a liquid containing from % to % of sulphuric acid. the product is called _chamber acid_ and is quite impure; but for many purposes, such as the manufacture of fertilizers, it needs no further treatment. it can be concentrated by boiling it in vessels made of iron or platinum, which resist the action of the acid, nearly all the water boiling off. pure concentrated acid can be made best by the contact process, while the chamber process is cheaper for the dilute impure acid. ~physical properties.~ sulphuric acid is a colorless, oily liquid, nearly twice as heavy as water. the ordinary concentrated acid contains about % of water, has a density of . , and boils at °. it is sometimes called _oil of vitriol_, since it was formerly made by distilling a substance called _green vitriol_. ~chemical properties.~ sulphuric acid possesses chemical properties which make it one of the most important of chemical substances. . _action as an acid._ in dilute solution sulphuric acid acts as any other acid, forming salts with oxides and hydroxides. . _action as an oxidizing agent._ sulphuric acid contains a large percentage of oxygen and is, like nitric acid, a very good oxidizing agent. when the concentrated acid is heated with sulphur, carbon, and many other substances, oxidation takes place, the sulphuric acid decomposing according to the equation h_{ }so_{ } = h_{ }so_{ } + o. . _action on metals._ in dilute solution sulphuric acid acts upon many metals, such as zinc, forming a sulphate and liberating hydrogen. when the concentrated acid is employed the hydrogen set free is oxidized by a new portion of the acid, with the liberation of sulphur dioxide. with copper the reactions are expressed by the equations ( ) cu + h_{ }so_{ } = cuso_{ } + h, ( ) h_{ }so_{ } + h = h_{ }so_{ } + h_{ }o, ( ) h_{ }so_{ } = h_{ }o + so_{ }. by combining these equations the following one is obtained: cu + h_{ }so_{ } = cuso_{ } + so_{ } + h_{ }o. . _action on salts._ we have repeatedly seen that an acid of high boiling point heated with the salt of some acid of lower boiling point will drive out the low boiling acid. the boiling point of sulphuric acid ( °) is higher than that of almost any common acid; hence it is used largely in the preparation of other acids. . _action on water._ concentrated sulphuric acid has a very great affinity for water, and is therefore an effective dehydrating agent. gases which have no chemical action upon sulphuric acid can be freed from water vapor by bubbling them through the strong acid. when the acid is diluted with water much heat is set free, and care must be taken to keep the liquid thoroughly stirred during the mixing, and to pour the acid into the water,--never the reverse. not only can sulphuric acid absorb water, but it will often withdraw the elements hydrogen and oxygen from a compound containing them, decomposing the compound, and combining with the water so formed. for this reason most organic substances, such as sugar, wood, cotton, and woolen fiber, and even flesh, all of which contain much oxygen and hydrogen in addition to carbon, are charred or burned by the action of the concentrated acid. ~salts of sulphuric acid,--sulphates.~ the sulphates form a very important class of salts, and many of them have commercial uses. copperas (iron sulphate), blue vitriol (copper sulphate), and epsom salt (magnesium sulphate) serve as examples. many sulphates are important minerals, prominent among these being gypsum (calcium sulphate) and barytes (barium sulphate). ~thiosulphuric acid~ (h_{ }s_{ }o_{ }); ~thiosulphates.~ many other acids of sulphur containing oxygen are known, but none of them are of great importance. most of them cannot be prepared in a pure state, and are known only through their salts. the most important of these is thiosulphuric acid. when sodium sulphite is boiled with sulphur the two substances combine, forming a salt which has the composition represented in the formula na_{ }s_{ }o_{ }: na_{ }so_{ } + s = na_{ }s_{ }o_{ }. the substance is called sodium thiosulphate, and is a salt of the easily decomposed acid h_{ }s_{ }o_{ }, called thiosulphuric acid. this reaction is quite similar to the action of oxygen upon sulphites: na_{ }so_{ } + o = na_{ }so_{ }. more commonly the salt is called sodium hyposulphite, or merely "hypo." it is a white solid and is extensively used in photography, in the bleaching industry, and as a disinfectant. ~monobasic and dibasic acids.~ such acids as hydrochloric and nitric acids, which have only one replaceable hydrogen atom in the molecule, or in other words yield one hydrogen ion in solution, are called monobasic acids. acids yielding two hydrogen ions in solution are called dibasic acids. similarly, we may have tribasic and tetrabasic acids. the three acids of sulphur are dibasic acids. it is therefore possible for each of them to form both normal and acid salts. the acid salts can be made in two ways: the acid may be treated with only half enough base to neutralize it,-- naoh + h_{ }so_{ } = nahso_{ } + h_{ }o; or a normal salt may be treated with the free acid,-- na_{ }so_{ } + h_{ }so_{ } = nahso_{ }. acid sulphites and sulphides may be made in the same ways. ~carbon disulphide~ (cs_{ }). when sulphur vapor is passed over highly heated carbon the two elements combine, forming carbon disulphide (cs_{ }), just as oxygen and carbon unite to form carbon dioxide (co_{ }). the substance is a heavy, colorless liquid, possessing, when pure, a pleasant ethereal odor. on standing for some time, especially when exposed to sunlight, it undergoes a slight decomposition and acquires a most disagreeable, rancid odor. it has the property of dissolving many substances, such as gums, resins, and waxes, which are insoluble in most liquids, and it is extensively used as a solvent for such substances. it is also used as an insecticide. it boils at a low temperature ( °), and its vapor is very inflammable, burning in the air to form carbon dioxide and sulphur dioxide, according to the equation cs_{ } + o = co_{ } + so_{ }. [illustration: fig. ] ~commercial preparation of carbon disulphide.~ in the preparation of carbon disulphide an electrical furnace is employed, such as is represented in fig. . the furnace is packed with carbon c, and this is fed in through the hoppers b, as fast as that which is present in the hearth of the furnace is used up. sulphur is introduced at a, and at the lower ends of the tubes it is melted by the heat of the furnace and flows into the hearth as a liquid. an electrical current is passed through the carbon and melted sulphur from the electrodes e, heating the charge. the vapors of carbon disulphide pass up through the furnace and escape at d, from which they pass to a suitable condensing apparatus. ~comparison of sulphur and oxygen.~ a comparison of the formulas and the chemical properties of corresponding compounds of oxygen and sulphur brings to light many striking similarities. the conduct of hydrosulphuric acid and water toward many substances has been seen to be very similar; the oxides and sulphides of the metals have analogous formulas and undergo many parallel reactions. carbon dioxide and disulphide are prepared in similar ways and undergo many analogous reactions. it is clear, therefore, that these two elements are far more closely related to each other than to any of the other elements so far studied. ~selenium and tellurium.~ these two very uncommon elements are still more closely related to sulphur than is oxygen. they occur in comparatively small quantities and are usually found associated with sulphur and sulphides, either as the free elements or more commonly in combination with metals. they form compounds with hydrogen of the formulas h_{ }se and h_{ }te; these bodies are gases with properties very similar to those of h_{ }s. they also form oxides and oxygen acids which resemble the corresponding sulphur compounds. the elements even have allotropic forms corresponding very closely to those of sulphur. tellurium is sometimes found in combination with gold and copper, and occasions some difficulties in the refining of these metals. the elements have very few practical applications. ~crystallography.~ in order to understand the difference between the two kinds of sulphur crystals, it is necessary to know something about crystals in general and the forms which they may assume. an examination of a large number of crystals has shown that although they may differ much in geometric form, they can all be considered as modifications of a few simple plans. the best way to understand the relation of one crystal to another is to look upon every crystal as having its faces and angles arranged in definite fashion about certain imaginary lines drawn through the crystal. these lines are called axes, and bear much the same relation to a crystal as do the axis and parallels of latitude and longitude to the earth and a geographical study of it. all crystals can be referred to one of six simple plans or systems, which have their axes as shown in the following drawings. the names and characteristics of these systems are as follows: . isometric or regular system (fig. ). three equal axes, all at right angles. [illustration: fig. ] . tetragonal system (fig. ). two equal axes and one of different length, all at right angles to each other. [illustration: fig. ] . orthorhombic system (fig. ). three unequal axes, all at right angles to each other. [illustration: fig. ] . monoclinic system (fig. ). two axes at right angles, and a third at right angles to one of these, but inclined to the other. [illustration: fig. ] . triclinic system (fig. ). three axes, all inclined to each other. [illustration: fig. ] . hexagonal system (fig. ). three equal axes in the same plane intersecting at angles of °, and a fourth at right angles to all of these. [illustration: fig. ] every crystal can be imagined to have its faces and angles arranged in a definite way around one of these systems of axes. a cube, for instance, is referred to plan , an axis ending in the center of each face; while in a regular octohedron an axis ends in each solid angle. these forms are shown in fig. . it will be seen that both of these figures belong to the same system, though they are very different in appearance. in the same way, many geometric forms may be derived from each of the systems, and the light lines about the axes in the drawings show two of the simplest forms of each of the systems. in general a given substance always crystallizes in the same system, and two corresponding faces of each crystal of it always make the same angle with each other. a few substances, of which sulphur is an example, crystallize in two different systems, and the crystals differ in such physical properties as melting point and density. such substances are said to be _dimorphous_. exercises . (a) would the same amount of heat be generated by the combustion of g. of each of the allotropic modifications of sulphur? (b) would the same amount of sulphur dioxide be formed in each case? . is the equation for the preparation of hydrosulphuric acid a reversible one? as ordinarily carried out, does the reaction complete itself? . suppose that hydrosulphuric acid were a liquid, would it be necessary to modify the method of preparation? . can sulphuric acid be used to dry hydrosulphuric acid? give reason for answer. . does dry hydrosulphuric acid react with litmus paper? state reason for answer. . how many grams of iron sulphide are necessary to prepare l. of hydrosulphuric acid when the laboratory conditions are ° and mm. pressure? . suppose that the hydrogen in l. of hydrosulphuric acid were liberated; what volume would it occupy, the gases being measured under the same conditions? . write the equations representing the reaction between hydrosulphuric acid and sodium hydroxide and ammonium hydroxide respectively. . show that the preparation of sulphur dioxide from a sulphite is similar in principle to the preparation of hydrogen sulphide. . (a) does dry sulphur dioxide react with litmus paper? (b) how can it be shown that a solution of sulphur dioxide in water acts like an acid? . (a) calculate the percentage composition of sulphurous anhydride and sulphuric anhydride. (b) show how these two substances are in harmony with the law of multiple proportion. . how many pounds of sulphur would be necessary in the preparation of lb. of % sulphuric acid? . what weight of sulphur dioxide is necessary in the preparation of kg. of sodium sulphite? . what weight of copper sulphate crystals can be obtained by dissolving kg. of copper in sulphuric acid and crystallizing the product from water? . write the names and formulas of the oxides and oxygen acids of selenium and tellurium. . in the commercial preparation of carbon disulphide, what is the function of the electric current? . if the gay-lussac tower were omitted from the sulphuric acid factory, what effect would this have on the cost of production of sulphuric acid? chapter xv periodic law a number of the elements have now been studied somewhat closely. the first three of these, oxygen, hydrogen, and nitrogen, while having some physical properties in common with each other, have almost no point of similarity as regards their chemical conduct. on the other hand, oxygen and sulphur, while quite different physically, have much in common in their chemical properties. about eighty elements are now known. if all of these should have properties as diverse as do oxygen, hydrogen, and nitrogen, the study of chemistry would plainly be a very difficult and complicated one. if, however, the elements can be classified in groups, the members of which have very similar properties, the study will be very much simplified. ~earlier classification of the elements.~ even at an early period efforts were made to discover some natural principle in accordance with which the elements could be classified. two of these classifications may be mentioned here. . _classification into metals and non-metals._ the classification into metals and non-metals most naturally suggested itself. this grouping was based largely on physical properties, the metals being heavy, lustrous, malleable, ductile, and good conductors of heat and electricity. elements possessing these properties are usually base-forming in character, and the ability to form bases came to be regarded as a characteristic property of the metals. the non-metals possessed physical properties which were the reverse of those of the metals, and were acid-forming in character. not much was gained by this classification, and it was very imperfect. some metals, such as potassium, are very light; some non-metals, such as iodine, have a high luster; some elements can form either an acid or a base. . _classification into triad families._ in döbereiner observed that an interesting relation exists between the atomic weights of chemically similar elements. to illustrate, lithium, sodium, and potassium resemble each other very closely, and the atomic weight of sodium is almost exactly an arithmetical mean between those of the other two: ( . + . )/ = . . in many chemical and physical properties sodium is midway between the other two. a number of triad families were found, but among eighty elements, whose atomic weights range all the way from to , such agreements might be mere chance. moreover many elements did not appear to belong to such families. ~periodic division.~ in the russian chemist mendeléeff devised an arrangement of the elements based on their atomic weights, which has proved to be of great service in the comparative study of the elements. a few months later the german, lothar meyer, independently suggested the same ideas. this arrangement brought to light a great generalization, now known as the _periodic law_. an exact statement of the law will be given after the method of arranging the elements has been described. [illustration: dmitri ivanovitch mendelÉeff (russian) ( - ) author of the periodic law; made many investigations on the physical constants of elements and compounds; wrote an important book entitled "principles of chemistry"; university professor and government official] ~arrangement of the periodic table.~ the arrangement suggested by mendeléeff, modified somewhat by more recent investigations, is as follows: beginning with lithium, which has an atomic weight of , the elements are arranged in a horizontal row in the order of their atomic weights, thus: ~li ( . ), be ( . ), b ( ), c ( ), n ( . ), o ( ), f ( ).~ these seven elements all differ markedly from each other. the eighth element, sodium, is very similar to lithium. it is placed just under lithium, and a new row follows: ~na( . ), mg ( . ), al ( . ), si ( . ), p ( ), s ( . ), cl( . ).~ when the fifteenth element, potassium, is reached, it is placed under sodium, to which it is very similar, and serves to begin a third row: ~k ( . ), ca ( . ), sc ( . ,) ti ( . ), v ( . ), cr ( . ), mn( ).~ not only is there a strong similarity between lithium, sodium, and potassium, which have been placed in a vertical row because of this resemblance, but the elements in the other vertical rows exhibit much of the same kind of similarity among themselves, and evidently form little natural groups. the three elements following manganese, namely, iron, nickel, and cobalt, have atomic weights near together, and are very similar chemically. they do not strongly resemble any of the elements so far considered, and are accordingly placed in a group by themselves, following manganese. a new row is begun with copper, which somewhat resembles the elements of the first vertical column. following the fifth and seventh rows are groups of three closely related elements, so that the completed arrangement has the appearance represented in the table on page . the periodic arrangement of the elements --------+-----------+-----------+-----------+-----------+-----------+ periods | group | group | group | group | group | | | i | ii | iii | iv | |a b|a b|a b|a b|a b| --------+-----------+-----------+-----------+-----------+-----------+ |h== . | | | | | |he= |li= . |be= . |b= |c= | --------+-----------+-----------+-----------+-----------+-----------+ | ne= |na= . | mg= . | al= . | si= . | --------+-----------+-----------+-----------+-----------+-----------+ |a= . |k= . |ca= . |sc= . |ti= . | | | | | | | | | | | | | --------+-----------+-----------+-----------+-----------+-----------+ | | cu= . | zn= . | ga= | ge= . | --------+-----------+-----------+-----------+-----------+-----------+ |kr= . |rb= . |sr= . |y= |zr= . | | | | | | | | | | | | | --------+-----------+-----------+-----------+-----------+-----------+ | | ag= . | cd= . | in= | sn= | --------+-----------+-----------+-----------+-----------+-----------+ |x= |cs= . |ba= . |la= . |ce=yb* | | | | | | . - | | | | | | | --------+-----------+-----------+-----------+-----------+-----------+ | au= . | hg= | tl= . | pb= . | bi= . | --------+-----------+-----------+-----------+-----------+-----------+ | | |ra= | |th= . | --------+-----------+-----------+-----------+-----------+-----------+ | | r_{ }o | ro |r_{ }o_{ } | ro_{ } | | | rh | rh_{ } | rh_{ } | rh_{ } | --------+-----------+-----------+-----------+-----------+-----------+ ==================part ============== --------+-----------+-----------+-----------+-----------+ periods | group | group | group | group | | v | vi | vii | viii | |a b|a b|a b| | --------+-----------+-----------+-----------+-----------+ | | | | | |n= . |o= |f= | | --------+-----------+-----------+-----------+-----------+ | p= | s= . | cl= . | | --------+-----------+-----------+-----------+-----------+ |v= . |cr= . |mn= |fe= . | | | | |ni= . | | | | |co= | --------+-----------+-----------+-----------+-----------+ | as= | se= . | br= . | | --------+-----------+-----------+-----------+-----------+ |cb= |mo= | |ru= . | | | | |rh= | | | | |pd= . | --------+-----------+-----------+-----------+-----------+ | sb= . | te= . | i= . | | --------+-----------+-----------+-----------+-----------+ |ta= |w= | |os= | | | | |ir= | | | | |pt= . | --------+-----------+-----------+-----------+-----------+ | | | | | --------+-----------+-----------+-----------+-----------+ | u= . | | | | --------+-----------+-----------+-----------+-----------+ | r_{ }o_{ }| ro_{ } | r_{ }o_{ }| ro_{ } | | rh_{ } | rh_{ } | rh | | --------+-----------+-----------+-----------+-----------+ [* this includes a number of elements whose atomic weights lie between and , but which have not been accurately studied, and so their proper arrangement is uncertain.] ~place of the atmospheric elements.~ when argon was discovered it was seen at once that there was no place in the table for an element of atomic weight approximately . when the other inactive elements were found, however, it became apparent that they form a group just preceding group . they are accordingly arranged in this way in group (see table on opposite page). a study of this table brings to light certain very striking facts. ~properties of elements vary with atomic weights.~ there is evidently a close relation between the properties of an element and its atomic weight. lithium, at the beginning of the first group, is a very strong base-forming element, with pronounced metallic properties. beryllium, following lithium, is less strongly base-forming, while boron has some base-forming and some acid-forming properties. in carbon all base-forming properties have disappeared, and the acid-forming properties are more marked than in boron. these become still more emphasized as we pass through nitrogen and oxygen, until on reaching fluorine we have one of the strongest acid-forming elements. the properties of these seven elements therefore vary regularly with their atomic weights, or, in mathematical language, are regular functions of them. ~periodic law.~ the properties of the first seven elements vary _continuously_--that is steadily--away from base-forming and toward acid-forming properties. if lithium had the smallest atomic weight of any of the elements, and fluorine the greatest, so that in passing from one to the other we had included all the elements, we could say that the properties of elements are continuous functions of their atomic weights. but fluorine is an element of small atomic weight, and the one following it, sodium, breaks the regular order, for in it reappear all the characteristic properties of lithium. magnesium, following sodium, bears much the same relation to beryllium that sodium does to lithium, and the properties of the elements in the second row vary much as they do in the first row until potassium is reached, when another repetition begins. the properties of the elements do not vary continuously, therefore, with atomic weights, but at regular intervals there is a repetition, or _period_. this generalization is known as the _periodic law_, and may be stated thus: _the properties of elements are periodic functions of their atomic weights._ ~the two families in a group.~ while all the elements in a given vertical column bear a general resemblance to each other, it has been noticed that those belonging to periods having even numbers are very strikingly similar to each other. they are placed at the left side of the group columns. in like manner, the elements belonging to the odd periods are very similar and are arranged at the right side of the group columns. thus calcium, strontium, and barium are very much alike; so, too, are magnesium, zinc, and cadmium. the resemblance between calcium and magnesium, or strontium and zinc, is much less marked. this method of arrangement therefore divides each group into two families, each containing four or five members, between which there is a great similarity. ~family resemblances.~ let us now inquire more closely in what respects the elements of a family resemble each other. . _valence._ in general the valence of the elements in a family is the same, and the formulas of their compounds are therefore similar. if we know that the formula of sodium chloride is nacl, it is pretty certain that the formula of potassium chloride will be kcl--not kcl_{ } or kcl_{ }. the general formulas r_{ }o, ro, etc., placed below the columns show the formulas of the oxides of the elements in the column provided they form oxides. in like manner the formulas rh, rh_{ }, etc., show the composition of the compounds formed with hydrogen or chlorine. . _chemical properties._ the chemical properties of the members of a family are quite similar. if one member is a metal, the others usually are; if one is a non-metal, so, too, are the others. the families in the first two columns consist of metals, while the elements found in the last two columns form acids. there is in addition a certain regularity in properties of the elements in each family. if the element at the head of the family is a strong acid-forming element, this property is likely to diminish gradually, as we pass to the members of the family with higher atomic weights. thus phosphorus is strongly acid-forming, arsenic less so, antimony still less so, while bismuth has almost no acid-forming properties. we shall meet with many illustrations of this fact. . _physical properties._ in the same way, the physical properties of the members of a family are in general somewhat similar, and show a regular gradation as we pass from element to element in the family. thus the densities of the members of the magnesium family are mg = . , zn = . , cd = . , hg = . . their melting points are mg = °, zn = °, cd = °, hg = - . °. ~value of the periodic law.~ the periodic law has proved of much value in the development of the science of chemistry. . _it simplifies study._ it is at once evident that such regularities very much simplify the study of chemistry. a thorough study of one element of a family makes the study of the other members a much easier task, since so many of the properties and chemical reactions of the elements are similar. thus, having studied the element sulphur in some detail, it is not necessary to study selenium and tellurium so closely, for most of their properties can be predicted from the relation which they sustain to sulphur. . _it predicts new elements._ when the periodic law was first formulated there were a number of vacant places in the table which evidently belonged to elements at that time unknown. from their position in the table, mendeléeff predicted with great precision the properties of the elements which he felt sure would one day be discovered to fill these places. three of them, scandium, germanium, and gallium, were found within fifteen years, and their properties agreed in a remarkable way with the predictions of mendeléeff. there are still some vacant places in the table, especially among the heavier elements. . _it corrects errors._ the physical constants of many of the elements did not at first agree with those demanded by the periodic law, and a further study of many such cases showed that errors had been made. the law has therefore done much service in indicating probable error. ~imperfections of the law.~ there still remain a good many features which must be regarded as imperfections in the law. most conspicuous is the fact that the element hydrogen has no place in the table. in some of the groups elements appear in one of the families, while all of their properties show that they belong in the other. thus sodium belongs with lithium and not with copper; fluorine belongs with chlorine and not with manganese. there are two instances where the elements must be transposed in order to make them fit into their proper group. according to their atomic weights, tellurium should follow iodine, and argon should follow potassium. their properties show in each case that this order must be reversed. the table separates some elements altogether which, in many respects have closely agreeing properties. iron, chromium, and manganese are all in different groups, although they are similar in many respects. the system is therefore to be regarded as but a partial and imperfect expression of some very important and fundamental relation between the substances which we know as elements, the exact nature of this relation being as yet not completely clear to us. exercises . suppose that an element were discovered that filled the blank in group o, period ; what properties would it probably have? . suppose that an element were discovered that filled the blank in group vi, period , family b; what properties would it have? . sulphur and oxygen both belong in group vi, although in different families; in what respects are the two similar? chapter xvi the chlorine family ================================================================== | | | | | atomic | melting | boiling | color and state | weight | point | point | ______________|________|_________|_________|______________________ | | | | fluorine (f) | . | - ° | - ° | pale yellowish gas. chlorine (cl) | . | - ° | - . ° | greenish-yellow gas. bromine (br) | . | - ° | ° | red liquid. iodine (i) | . | ° | ° | purplish-black solid. ================================================================== ~the family.~ the four elements named in the above table form a strongly marked family of elements and illustrate very clearly the way in which the members of a family in a periodic group resemble each other, as well as the character of the differences which we may expect to find between the individual members. . _occurrence._ these elements do not occur in nature in the free state. the compounds of the last three elements of the family are found extensively in sea water, and on this account the name _halogens_, signifying "producers of sea salt," is sometimes applied to the family. . _properties._ as will be seen by reference to the table, the melting points and boiling points of the elements of the family increase with their atomic weights. a somewhat similar gradation is noted in their color and state. one atom of each of the elements combines with one atom of hydrogen to form acids, which are gases very soluble in water. the affinity of the elements for hydrogen is in the inverse order of their atomic weights, fluorine having the strongest affinity and iodine the weakest. only chlorine and iodine form oxides, and those of the former element are very unstable. the elements of the group are univalent in their compounds with hydrogen and the metals. fluorine ~occurrence.~ the element fluorine occurs in nature most abundantly as the mineral fluorspar (caf_{ }), as cryolite (na_{ }alf_{ }), and in the complex mineral apatite ( ca_{ }(po_{ })_{ }·caf_{ }). ~preparation.~ all attempts to isolate the element resulted in failure until recent years. methods similar to those which succeed in the preparation of the other elements of the family cannot be used; for as soon as the fluorine is liberated it combines with the materials of which the apparatus is made or with the hydrogen of the water which is always present. the preparation of fluorine was finally accomplished by the french chemist moissan by the electrolysis of hydrofluoric acid. perfectly dry hydrofluoric acid (hf) was condensed to a liquid and placed in a u-shaped tube made of platinum (or copper), which was furnished with electrodes and delivery tubes, as shown in fig. . this liquid is not an electrolyte, but becomes such when potassium fluoride is dissolved in it. when this solution was electrolyzed hydrogen was set free at the cathode and fluorine at the anode. [illustration: fig. ] ~properties.~ fluorine is a gas of slightly yellowish color, and can be condensed to a liquid boiling at - ° under atmospheric pressure. it solidifies at - °. it is extremely active chemically, being the most active of all the elements at ordinary temperatures. it combines with all the common elements save oxygen, very often with incandescence and the liberation of much heat. it has a strong affinity for hydrogen and is able to withdraw it from its compounds with other elements. because of its great activity it is extremely poisonous. fluorine does not form any oxides, neither does it form any oxygen acids, in which respects it differs from the other members of the family. ~hydrofluoric acid~ (hf). hydrofluoric acid is readily obtained from fluorspar by the action of concentrated sulphuric acid. the equation is caf_{ } + h_{ }so_{ } = caso_{ } + hf. in its physical properties it resembles the binary acids of the other elements of this family, being, however, more easily condensed to a liquid. the anhydrous acid boils at ° and can therefore be prepared at ordinary pressures. it is soluble in all proportions in water, and a concentrated solution--about %--is prepared for the market. its fumes are exceedingly irritating to the respiratory organs, and several chemists have lost their lives by accidentally breathing them. [illustration: henri moissan (french) ( - ) famous for his work with the electric furnace at high temperatures; prepared artificial diamonds, together with many new binary compounds such as carbides, silicides, borides, and nitrides; isolated fluorine and studied its properties and its compounds very thoroughly] ~chemical properties.~ hydrofluoric acid, like other strong acids, readily acts on bases and metallic oxides and forms the corresponding fluorides. it also dissolves certain metals such as silver and copper. it acts very vigorously upon organic matter, a single drop of the concentrated acid making a sore on the skin which is very painful and slow in healing. its most characteristic property is its action upon silicon dioxide (sio_{ }), with which it forms water and the gas silicon tetrafluoride (sif_{ }), as shown in the equation sio_{ } + hf = sif_{ } + h_{ }o. glass consists of certain compounds of silicon, which are likewise acted on by the acid so that it cannot be kept in glass bottles. it is preserved in flasks made of wax or gutta-percha. ~etching.~ advantage is taken of this reaction in etching designs upon glass. the glass vessel is painted over with a protective paint upon which the acid will not act, the parts which it is desired to make opaque being left unprotected. a mixture of fluorspar and sulphuric acid is then painted over the vessel and after a few minutes the vessel is washed clean. wherever the hydrofluoric acid comes in contact with the glass it acts upon it, destroying its luster and making it opaque, so that the exposed design will be etched upon the clear glass. frosted glass globes are often made in this way. the etching may also be effected by covering the glass with a thin layer of paraffin, cutting the design through the wax and then exposing the glass to the fumes of the acid. ~salts of hydrofluoric acid,--fluorides.~ a number of the fluorides are known, but only one of them, calcium fluoride (caf_{ }), is of importance. this is the well-known mineral fluorspar. chlorine ~historical.~ while studying the action of hydrochloric acid upon the mineral pyrolusite, in , scheele obtained a yellowish, gaseous substance to which he gave a name in keeping with the phlogiston theory then current. later it was supposed to be a compound containing oxygen. in , however, the english chemist sir humphry davy proved it to be an element and named it chlorine. ~occurrence.~ chlorine does not occur free in nature, but its compounds are widely distributed. for the most part it occurs in combination with the metals in the form of chlorides, those of sodium, potassium, and magnesium being most abundant. nearly all salt water contains these substances, particularly sodium chloride, and very large salt beds consisting of chlorides are found in many parts of the world. ~preparation.~ two general methods of preparing chlorine may be mentioned, namely, the laboratory method and the electrolytic method. . _laboratory method._ in the laboratory chlorine is made by warming the mineral pyrolusite (manganese dioxide, mno_{ }) with concentrated hydrochloric acid. the first reaction, which seems to be similar to the action of acids upon oxides in general, is expressed in the equation mno_{ } + hcl = mncl_{ } + h_{ }o. the manganese compound so formed is very unstable, however, and breaks clown according to the equation mncl_{ } = mncl_{ } + cl. instead of using hydrochloric acid in the preparation of chlorine it will serve just as well to use a mixture of sodium chloride and sulphuric acid, since these two react to form hydrochloric acid. the following equations will then express the changes: ( ) nacl + h_{ }so_{ } = na_{ }so_{ } + hcl. ( ) mno_{ } + hcl = mncl_{ } + cl + h_{ }o. ( ) mncl_{ } + h_{ }so_{ } = mnso_{ } + hcl. combining these equations, the following equation expressing the complete reaction is obtained: nacl + mno_{ } + h_{ }so_{ } = mnso_{ } + na_{ }so_{ } + h_{ }o + cl. since the hydrochloric acid liberated in the third equation is free to act upon manganese dioxide, it will be seen that all of the chlorine originally present in the sodium chloride is set free. the manganese dioxide and the hydrochloric acid are brought together in a flask, as represented in fig. , and a gentle heat is applied. the rate of evolution of the gas is regulated by the amount of heat applied, and the gas is collected by displacement of air. as the equations show, only half of the chlorine present in the hydrochloric acid is liberated. [illustration: fig. ] . _electrolytic method._ under the discussion of electrolysis (p. ) it was shown that when a solution of sodium chloride is electrolyzed chlorine is evolved at the anode, while the sodium set free at the cathode reacts with the water to form hydrogen, which is evolved, and sodium hydroxide, which remains in solution. a great deal of the chlorine required in the chemical industries is now made in this way in connection with the manufacture of sodium hydroxide. ~physical properties.~ chlorine is a greenish-yellow gas, which has a peculiar suffocating odor and produces a very violent effect upon the throat and lungs. even when inhaled in small quantities it often produces all the symptoms of a hard cold, and in larger quantities may have serious and even fatal action. it is quite heavy (density = . ) and can therefore be collected by displacement of air. one volume of water under ordinary conditions dissolves about three volumes of chlorine. the gas is readily liquefied, a pressure of six atmospheres serving to liquefy it at °. it forms a yellowish liquid which solidifies at - °. ~chemical properties.~ at ordinary temperatures chlorine is far more active chemically than any of the elements we have so far considered, with the exception of fluorine; indeed, it is one of the most active of all elements. . _action on metals._ a great many metals combine directly with chlorine, especially when hot. a strip of copper foil heated in a burner flame and then dropped into chlorine burns with incandescence. sodium burns brilliantly when heated strongly in slightly moist chlorine. gold and silver are quickly tarnished by the gas. . _action on non-metals._ chlorine has likewise a strong affinity for many of the non-metals. thus phosphorus burns in a current of the gas, while antimony and arsenic in the form of a fine powder at once burst into flame when dropped into jars of the gas. the products formed in all cases where chlorine combines with another element are called _chlorides_. . _action on hydrogen._ chlorine has a strong affinity for hydrogen, uniting with it to form hydrochloric acid. a jet of hydrogen burning in the air continues to burn when introduced into a jar of chlorine, giving a somewhat luminous flame. a mixture of the two gases explodes violently when a spark is passed through it or when it is exposed to bright sunlight. in the latter case it is the light and not the heat which starts the action. . _action on substances containing hydrogen._ not only will chlorine combine directly with free hydrogen but it will often abstract the element from its compounds. thus, when chlorine is passed into a solution containing hydrosulphuric acid, sulphur is precipitated and hydrochloric acid formed. the reaction is shown by the following equation: h_{ }s + cl = hcl + s. with ammonia the action is similar: nh_{ } + cl = hcl + n. the same tendency is very strikingly seen in the action of chlorine upon turpentine. the latter substance is largely made up of compounds having the composition represented by the formula c_{ }h_{ }. when a strip of paper moistened with warm turpentine is placed in a jar of chlorine dense fumes of hydrochloric acid appear and a black deposit of carbon is formed. even water, which is a very stable compound, can be decomposed by chlorine, the oxygen being liberated. this may be shown in the following way: [illustration: fig. ] if a long tube of rather large diameter is filled with a strong solution of chlorine in water and inverted in a vessel of the same solution, as shown in fig. , and the apparatus is placed in bright sunlight, very soon bubbles of a gas will be observed to rise through the solution and collect in the tube. an examination of this gas will show that it is oxygen. it is liberated from water in accordance with the following equation: h_{ }o + cl = hcl + o. . _action on color substances,--bleaching action._ if strips of brightly colored cloth or some highly colored flowers are placed in quite dry chlorine, no marked change in color is noticed as a rule. if, however, the cloth and flowers are first moistened, the color rapidly disappears, that is, the objects are bleached. evidently the moisture as well as the chlorine is concerned in the action, and a study of the case shows that the chlorine has combined with the hydrogen of the water. the oxygen set free oxidizes the color substance, converting it into a colorless compound. it is evident from this explanation that chlorine will only bleach those substances which are changed into colorless compounds by oxidation. . _action as a disinfectant._ chlorine has also marked germicidal properties, and the free element, as well as compounds from which it is easily liberated, are used as disinfectants. ~nascent state.~ it will be noticed that oxygen when set free from water by chlorine is able to do what ordinary oxygen cannot do, for both the cloth and the flowers are unchanged in the air which contains oxygen. it is generally true that the activity of an element is greatest at the instant of liberation from its compounds. to express this fact elements at the instant of liberation are said to be in the _nascent state_. it is nascent oxygen which does the bleaching. ~hydrochloric acid~ (_muriatic acid_) (hcl). the preparation of hydrochloric acid may be discussed under two general heads: . _laboratory preparation._ the product formed by the burning of hydrogen in chlorine is the gas hydrochloric acid. this substance is much more easily obtained, however, by treating common salt (sodium chloride) with sulphuric acid. the following equation shows the reaction: nacl + h_{ }so_{ } = na_{ }so_{ } + hcl. the dry salt is placed in a flask furnished with a funnel tube and an exit tube, the sulphuric acid is added, and the flask gently warmed. the hydrochloric acid gas is rapidly given off and can be collected by displacement of air. the same apparatus can be used as was employed in the preparation of chlorine (fig. ). when a _solution_ of salt is treated with sulphuric acid there is no very marked action. the hydrochloric acid formed is very soluble in water, and so does not escape from the solution; hence a state of equilibrium is soon reached between the four substances represented in the equation. when _concentrated_ sulphuric acid, in which hydrochloric acid is not soluble, is poured upon dry salt the reaction is complete. . _commercial preparation._ commercially, hydrochloric acid is prepared in connection with the manufacture of sodium sulphate, the reaction being the same as that just given. the reaction is carried out in a furnace, and the hydrochloric acid as it escapes in the form of gas is passed into water in which it dissolves, the solution forming the hydrochloric acid of commerce. when the materials are pure a colorless solution is obtained. the most concentrated solution has a density of . and contains % hcl. the commercial acid, often called _muriatic acid_, is usually colored yellow by impurities. ~composition of hydrochloric acid.~ when a solution of hydrochloric acid is electrolyzed in an apparatus similar to the one in which water was electrolyzed (fig. ), chlorine collects at the anode and hydrogen at the cathode. at first the chlorine dissolves in the water, but soon the water in the one tube becomes saturated with it, and if the stopcocks are left open until this is the case, and are then closed, it will be seen that the two gases are set free in equal volumes. when measured volumes of the two gases are caused to unite it is found that one volume of hydrogen combines with one of chlorine. other experiments show that the volume of hydrochloric acid formed is just equal to the sum of the volumes of hydrogen and chlorine. therefore one volume of hydrogen combines with one volume of chlorine to form two volumes of hydrochloric acid gas. since chlorine is . times as heavy as hydrogen, it follows that one part of hydrogen by weight combines with . parts of chlorine to form . parts of hydrochloric acid. ~physical properties.~ hydrochloric acid is a colorless gas which has an irritating effect when inhaled, and possesses a sour, biting taste, but no marked odor. it is heavier than air (density = . ) and is very soluble in water. under standard conditions volume of water dissolves about volumes of the gas. on warming such a solution the gas escapes, until at the boiling point the solution contains about % by weight of hcl. further boiling will not drive out any more acid, but the solution will distill with unchanged concentration. a more dilute solution than this will lose water on boiling until it has reached the same concentration, %, and will then distill unchanged. under high pressure the gas can be liquefied, atmospheres being required at °. under these conditions it forms a colorless liquid which is not very active chemically. it boils at - ° and solidifies at - °. the solution of the gas in water is used almost entirely in the place of the gas itself, since it is not only far more convenient but also more active. ~chemical properties.~ the most important chemical properties of hydrochloric acid are the following: . _action as an acid._ in aqueous solution hydrochloric acid has very strong acid properties; indeed, it is one of the strongest acids. it acts upon oxides and hydroxides, converting them into salts: naoh + hcl = nacl + h_{ }o, cuo + hcl = cucl_{ } + h_{ }o. it acts upon many metals, forming chlorides and liberating hydrogen: zn + hcl = zncl_{ } + h, al + hcl = alcl_{ } + h. unlike nitric and sulphuric acids it has no oxidizing action, so that when it acts on metals hydrogen is always given off. . _relation to combustion._ hydrochloric acid gas is not readily decomposed, and is therefore neither combustible nor a supporter of combustion. . _action on oxidizing agents._ although hydrochloric acid is incombustible, it can be oxidized under some circumstances, in which case the hydrogen combines with oxygen, while the chlorine is set free. thus, when a solution of hydrochloric acid acts upon manganese dioxide part of the chlorine is set free: mno_{ } + hcl = mncl_{ } + h_{ }o + cl. ~aqua regia.~ it has been seen that when nitric acid acts as an oxidizing agent it usually decomposes, as represented in the equation hno_{ } = h_{ }o + no + o. the oxygen so set free may act on hydrochloric acid: hcl + o = h_{ }o + cl. the complete equation therefore is hno_{ } + hcl = h_{ }o + no + cl. when concentrated nitric and hydrochloric acids are mixed this reaction goes on slowly, chlorine and some other substances not represented in the equation being formed. the mixture is known as _aqua regia_ and is commonly prepared by adding one volume of nitric acid to three volumes of hydrochloric acid. it acts more powerfully upon metals and other substances than either of the acids separately, and owes its strength not to acid properties but to the action of the nascent chlorine which it liberates. consequently, when it acts upon metals such as gold it converts them into chlorides, and the reaction can be represented by such equations as au + cl = aucl_{ }. ~salts of hydrochloric acid,--chlorides.~ the chlorides of all the metals are known and many of them are very important compounds. some of them are found in nature, and all can be prepared by the general method of preparing salts. silver chloride, lead chloride, and mercurous chloride are insoluble in water and acids, and can be prepared by adding hydrochloric acid to solutions of compounds of the respective elements. while the chlorides have formulas similar to the fluorides, their properties are often quite different. this is seen in the solubility of the salts. those metals whose chlorides are insoluble form soluble fluorides, while many of the metals which form soluble chlorides form insoluble fluorides. ~compounds of chlorine with oxygen and hydrogen.~ chlorine combines with oxygen and hydrogen to form four different acids. they are all quite unstable, and most of them cannot be prepared in pure form; their salts can easily be made, however, and some of them will be met with in the study of the metals. the formulas and names of these acids are as follows: hclo hypochlorous acid. hclo_{ } chlorous acid. hclo_{ } chloric acid. hclo_{ } perchloric acid. ~oxides of chlorine.~ two oxides are known, having the formulas cl_{ }o and clo_{ }. they decompose very easily and are good oxidizing agents. bromine ~historical.~ bromine was discovered in by the french chemist ballard, who isolated it from sea salt. he named it bromine (stench) because of its unbearable fumes. ~occurrence.~ bromine occurs almost entirely in the form of bromides, especially as sodium bromide and magnesium bromide, which are found in many salt springs and salt deposits. the stassfurt deposits in germany and the salt waters of ohio and michigan are especially rich in bromides. ~preparation of bromine.~ the laboratory method of preparing bromine is essentially different from the commercial method. [illustration fig. ] . _laboratory method._ as in the case of chlorine, bromine can be prepared by the action of hydrobromic acid (hbr) on manganese dioxide. since hydrobromic acid is not an article of commerce, a mixture of sulphuric acid and a bromide is commonly substituted for it. the materials are placed in a retort arranged as shown in fig. . the end of the retort just touches the surface of the water in the test tube. on heating, the bromine distills over and is collected in the cold receiver. the equation is nabr + h_{ }so_{ } + mno_{ } = na_{ }so_{ } + mnso_{ } + h_{ }o + br. . _commercial method._ bromine is prepared commercially from the waters of salt wells which are especially rich in bromides. on passing a current of electricity through such waters the bromine is first liberated. any chlorine liberated, however, will assist in the reaction, since free chlorine decomposes bromides, as shown in the equation nabr + cl = nacl + br. when the water containing the bromine is heated, the liberated bromine distills over into the receiver. ~physical properties.~ bromine is a dark red liquid about three times as heavy as water. its vapor has a very offensive odor and is most irritating to the eyes and throat. the liquid boils at ° and solidifies at - °; but even at ordinary temperatures it evaporates rapidly, forming a reddish-brown gas very similar to nitrogen peroxide in appearance. bromine is somewhat soluble in water, volumes of water under ordinary conditions dissolving volume of the liquid. it is readily soluble in carbon disulphide, forming a yellow solution. ~chemical properties and uses.~ in chemical action bromine is very similar to chlorine. it combines directly with many of the same elements with which chlorine unites, but with less energy. it combines with hydrogen and takes away the latter element from some of its compounds, but not so readily as does chlorine. its bleaching properties are also less marked. bromine finds many uses in the manufacture of organic drugs and dyestuffs and in the preparation of bromides. ~hydrobromic acid (hbr).~ when sulphuric acid acts upon a bromide hydrobromic acid is set free: nabr + h_{ }so_{ } = na_{ }so_{ } + hbr. at the same time some bromine is set free, as may be seen from the red fumes which appear, and from the odor. the explanation of this is found in the fact that hydrobromic acid is much less stable than hydrochloric acid, and is therefore more easily oxidized. concentrated sulphuric acid is a good oxidizing agent, and oxidizes a part of the hydrobromic acid, liberating bromine: h_{ }so_{ } + hbr = h_{ }o + so_{ } + br. ~preparation of pure hydrobromic acid.~ a convenient way to make pure hydrobromic acid is by the action of bromine upon moist red phosphorus. this can be done with the apparatus shown in fig. . bromine is put into the dropping funnel a, and red phosphorus, together with enough water to cover it, is placed in the flask b. by means of the stopcock the bromine is allowed to flow drop by drop into the flask, the reaction taking place without the application of heat. the equations are ( ) p + br = pbr_{ }, ( ) pbr_{ } + h_{ }o = p(oh)_{ } + hbr. [illustration fig. ] the u-tube c contains glass beads which have been moistened with water and rubbed in red phosphorus. any bromine escaping action in the flask acts upon the phosphorus in the u-tube. the hydrobromic acid is collected in the same way as hydrochloric acid. ~properties.~ hydrobromic acid very strikingly resembles hydrochloric acid in physical and chemical properties. it is a colorless, strongly fuming gas, heavier than hydrochloric acid and, like it, is very soluble in water. under standard conditions volume of water dissolves volumes of the gas. chemically, the chief point in which it differs from hydrochloric acid is in the fact that it is much more easily oxidized, so that bromine is more readily set free from it than chlorine is from hydrochloric acid. ~salts of hydrobromic acid,--bromides.~ the bromides are very similar to the chlorides in their properties. chlorine acts upon both bromides and free hydrobromic acid, liberating bromine from them: kbr + cl = kcl + br, hbr + cl = hcl + br. silver bromide is extensively used in photography, and the bromides of sodium and potassium are used as drugs. ~oxygen compounds.~ no oxides of bromine are surely known, and bromine does not form so many oxygen acids as chlorine does. salts of hypobromous acid (hbro) and bromic acid (hbro_{ }) are known. iodine ~historical.~ iodine was discovered in by courtois in the ashes of certain sea plants. its presence was revealed by its beautiful violet vapor, and this suggested the name iodine (from the greek for violet appearance). ~occurrence.~ in the combined state iodine occurs in very small quantities in sea water, from which it is absorbed by certain sea plants, so that it is found in their ashes. it occurs along with bromine in salt springs and beds, and is also found in chili saltpeter. ~preparation.~ iodine may be prepared in a number of ways, the principal methods being the following: . _laboratory method._ iodine can readily be prepared in the laboratory from an iodide by the method used in preparing bromine, except that sodium iodide is substituted for sodium bromide. it can also be made by passing chlorine into a solution of an iodide. [illustration: fig. ] . _commercial method._ commercially iodine was formerly prepared from seaweed (kelp), but is now obtained almost entirely from the deposits of chili saltpeter. the crude saltpeter is dissolved in water and the solution evaporated until the saltpeter crystallizes. the remaining liquors, known as the "mother liquors," contain sodium iodate (naio_{ }), in which form the iodine is present in the saltpeter. the chemical reaction by which the iodine is liberated from this compound is a complicated one, depending on the fact that sulphurous acid acts upon iodic acid, setting iodine free. this reaction is shown as follows: hio_{ } + h_{ }so_{ } = h_{ }so_{ } + h_{ }o + i. ~purification of iodine.~ iodine can be purified very conveniently in the following way. the crude iodine is placed in an evaporating dish e (fig. ), and the dish is set upon the sand bath s. the iodine is covered with the inverted funnel f, and the sand bath is gently heated with a bunsen burner. as the dish becomes warm the iodine rapidly evaporates and condenses again on the cold surface of the funnel in shining crystals. this process, in which a solid is converted into a vapor and is again condensed into a solid without passing through the liquid state, is called _sublimation_. ~physical properties.~ iodine is a purplish-black, shining, heavy solid which crystallizes in brilliant plates. even at ordinary temperatures it gives off a beautiful violet vapor, which increases in amount as heat is applied. it melts at ° and boils at °. it is slightly soluble in water, but readily dissolves in alcohol, forming a brown solution (tincture of iodine), and in carbon disulphide, forming a violet solution. the element has a strong, unpleasant odor, though by no means as irritating as that of chlorine and bromine. ~chemical properties.~ chemically iodine is quite similar to chlorine and bromine, but is still less active than bromine. it combines directly with many elements at ordinary temperatures. at elevated temperatures it combines with hydrogen, but the reaction is reversible and the compound formed is quite easily decomposed. both chlorine and bromine displace it from its salts: ki + br = kbr + i, ki + cl = kcl + i. when even minute traces of iodine are added to thin starch paste a very intense blue color develops, and this reaction forms a delicate test for iodine. iodine is extensively used in medicine, especially in the form of a tincture. it is also largely used in the preparation of dyes and organic drugs, iodoform, a substance used as an antiseptic, has the formula chi_{ }. ~hydriodic acid (hi).~ this acid cannot be prepared in pure condition by the action of sulphuric acid upon an iodide, since the hydriodic acid set free is oxidized by the sulphuric acid just as in the case of hydrobromic acid, but to a much greater extent. it can be prepared in exactly the same way as hydrobromic acid, iodine being substituted for bromine. it can also be prepared by passing hydrosulphuric acid into water in which iodine is suspended. the equation is h_{ }s + i = hi + s. the hydriodic acid formed in this way dissolves in the water. ~properties and uses.~ hydriodic acid resembles the corresponding acids of chlorine and bromine in physical properties, being a strongly fuming, colorless gas, readily soluble in water. under standard conditions volume of water dissolves about volumes of the gas. it is, however, more unstable than either hydrochloric or hydrobromic acids, and on exposure to the air it gradually decomposes in accordance with the equation hi + o = h_{ }o + i. owing to the slight affinity between iodine and hydrogen the acid easily gives up its hydrogen and is therefore a strong reducing agent. this is seen in its action on sulphuric acid. the salts of hydriodic acid, the iodides, are, in general, similar to the chlorides and bromides. potassium iodide (ki) is the most familiar of the iodides and is largely used in medicine. ~oxygen compounds.~ iodine has a much greater affinity for oxygen than has either chlorine or bromine. when heated with nitric acid it forms a stable oxide (i_{ }o_{ }). salts of iodic acid (hio_{ }) and periodic acid (hio_{ }) are easily prepared, and the free acids are much more stable than the corresponding acids of the other members of this family. gay-lussac's law of volumes in the discussion of the composition of hydrochloric acid it was stated that one volume of hydrogen combines with one volume of chlorine to form two volumes of hydrochloric acid. with bromine and iodine similar combining ratios hold good. these facts recall the simple volume relations already noted in the study of the composition of steam and ammonia. these relations may be represented graphically in the following way: +---+ +----+ +------+ +------+ | h | + | cl | = | h cl | + | h cl | +---+ +----+ +------+ +------+ +---+ +---+ +---+ +--------+ +--------+ | h | | h | + | o | = | h_{ }o | + | h_{ }o | +---+ +---+ +---+ +--------+ +--------+ +---+ +---+ +---+ +---+ +--------+ +--------+ | h | | h | | h | + | n | = | nh_{ } | + | nh_{ } | +---+ +---+ +---+ +---+ +--------+ +--------+ in the early part of the past century gay-lussac, a distinguished french chemist, studied the volume relations of many combining gases, and concluded that similar relations always hold. his observations are summed up in the following law: _when two gases combine chemically there is always a simple ratio between their volumes, and between the volume of either one of them and that of the product, provided it is a gas._ by a simple ratio is meant of course the ratio of small whole numbers, as : , : . exercises . how do we account for the fact that liquid hydrofluoric acid is not an electrolyte? . why does sulphuric acid liberate hydrofluoric acid from its salts? . in the preparation of chlorine, what advantages are there in treating manganese dioxide with a mixture of sodium chloride and sulphuric acid rather than with hydrochloric acid? . why must chlorine water be kept in the dark? . what is the derivation of the word nascent? . what substances studied are used as bleaching agents? to what is the bleaching action due in each case? . what substances studied are used as disinfecting agents? . what is meant by the statement that hydrochloric acid is one of the strongest acids? . what is the meaning of the phrase _aqua regia_? . cl_{ }o is the anhydride of what acid? . a solution of hydriodic acid on standing turns brown. how is this accounted for? . how can bromine vapor and nitrogen peroxide be distinguished from each other? . write the equations for the reaction taking place when hydriodic acid is prepared from iodine, phosphorus, and water. . from their behavior toward sulphuric acid, to what class of agents do hydrobromic and hydriodic acids belong? . give the derivation of the names of the elements of the chlorine family. . write the names and formulas for the binary acids of the group in the order of the stability of the acids. . what is formed when a metal dissolves in each of the following? nitric acid; dilute sulphuric acid; concentrated sulphuric acid; hydrochloric acid; aqua regia. . how could you distinguish between a chloride, a bromide, and an iodide? . what weight of sodium chloride is necessary to prepare sufficient hydrochloric acid to saturate l. of water under standard conditions? . on decomposition l. of hydrochloric acid would yield how many liters of hydrogen and chlorine respectively, the gases being measured under the same conditions? are your results in accord with the experimental facts? chapter xvii carbon and some of its simpler compounds ~the family.~ carbon stands at the head of a family of elements in the fourth group in the periodic table. the resemblances between the elements of this family, while quite marked, are not so striking as in the case of the elements of the chlorine family. with the exception of carbon, these elements are comparatively rare, and need not be taken up in detail in this chapter. titanium will be referred to again in connection with silicon which it very closely resembles. ~occurrence.~ carbon is found in nature in the uncombined state in several forms. the diamond is practically pure carbon, while graphite and coal are largely carbon, but contain small amounts of other substances. its natural compounds are exceedingly numerous and occur as gases, liquids, and solids. carbon dioxide is its most familiar gaseous compound. natural gas and petroleum are largely compounds of carbon with hydrogen. the carbonates, especially calcium carbonate, constitute great strata of rocks, and are found in almost every locality. all living organisms, both plant and animal, contain a large percentage of this element, and the number of its compounds which go to make up all the vast variety of animate nature is almost limitless. over one hundred thousand definite compounds containing carbon have been prepared. in the free state carbon occurs in three allotropic forms, two of which are crystalline and one amorphous. ~crystalline carbon.~ crystalline carbon occurs in two forms,--diamond and graphite. . _diamond._ diamonds are found in considerable quantities in several localities, especially in south africa, the east indies, and brazil. the crystals belong to the regular system, but the natural stones do not show this very clearly. when found they are usually covered with a rough coating which is removed in the process of cutting. diamond cutting is carried on most extensively in holland. the density of the diamond is . , and, though brittle, it is one of the hardest of substances. black diamonds, as well as broken and imperfect stones which are valueless as gems, are used for grinding hard substances. few chemical reagents have any action on the diamond, but when heated in oxygen or the air it blackens and burns, forming carbon dioxide. lavoisier first showed that carbon dioxide is formed by the combustion of the diamond; and sir humphry davy in showed that this is the only product of combustion, and that the diamond is pure carbon. ~the diamond as a gem.~ the pure diamond is perfectly transparent and colorless, but many are tinted a variety of colors by traces of foreign substances. usually the colorless ones are the most highly prized, although in some instances the color adds to the value; thus the famous hope diamond is a beautiful blue. light passing through a diamond is very much refracted, and to this fact the stone owes its brilliancy and sparkle. ~artificial preparation of diamonds.~ many attempts have been made to produce diamonds artificially, but for a long time these always ended in failure, graphite and not diamonds being the product obtained. the french chemist moissan, in his extended study of chemistry at high temperatures, finally succeeded ( ) in making some small ones. he accomplished this by dissolving carbon in boiling iron and plunging the crucible containing the mixture into water, as shown in fig. . under these conditions the carbon crystallized in the iron in the form of the diamond. the diamonds were then obtained by dissolving away the iron in hydrochloric acid. [illustration: fig. ] . _graphite._ this form of carbon is found in large quantities, especially in ceylon, siberia, and in some localities of the united states and canada. it is a shining black substance, very soft and greasy to the touch. its density is about . . it varies somewhat in properties according to the locality in which it is found, and is more easily attacked by reagents than is the diamond. it is also manufactured by heating carbon with a small amount of iron ( %) in an electric furnace. it is used in the manufacture of lead pencils and crucibles, as a lubricant, and as a protective covering for iron in the form of a polish or a paint. ~amorphous carbon.~ although there are many varieties of amorphous carbon known, they are not true allotropic modifications. they differ merely in their degree of purity, their fineness of division, and in their mode of preparation. these substances are of the greatest importance, owing to their many uses in the arts and industries. as they occur in nature, or are made artificially, they are nearly all impure carbon, the impurity depending on the particular substance in question. . _pure carbon._ pure amorphous carbon is best prepared by charring sugar. this is a substance consisting of carbon, hydrogen, and oxygen, the latter two elements being present in the ratio of one oxygen atom to two of hydrogen. when sugar is strongly heated the oxygen and hydrogen are driven off in the form of water and pure carbon is left behind. prepared in this way it is a soft, lustrous, very bulky, black powder. . _coal and coke._ coals of various kinds were probably formed from vast accumulations of vegetable matter in former ages, which became covered over with earthy material and were thus protected from rapid decay. under various natural agencies the organic matter was slowly changed into coal. in anthracite these changes have gone the farthest, and this variety of coal is nearly pure carbon. soft or bituminous coals contain considerable organic matter besides carbon and mineral substances. when heated strongly out of contact with air the organic matter is decomposed and the resulting volatile matter is driven off in the form of gases and vapors, and only the mineral matter and carbon remain behind. the gaseous product is chiefly illuminating gas and the solid residue is _coke_. some of the coke is found as a dense cake on the sides and roof of the retort. this is called retort carbon and is quite pure. . _charcoal._ this is prepared from wood in the same way that coke is made from coal. when the process is carried on in retorts the products expelled by the heat are saved. among these are many valuable substances such as wood alcohol and acetic acid. where timber is abundant the process is carried out in a wasteful way, by merely covering piles of wood with sod and setting the wood on fire. some wood burns and the heat from this decomposes the wood not burned, forming charcoal from it. the charcoal, of course, contains the mineral part of the wood from which it is formed. . _bone black._ this is sometimes called animal charcoal, and is made by charring bones and animal refuse. the organic part of the materials is thus decomposed and carbon is left in a very finely divided state, scattered through the mineral part which consists largely of calcium phosphate. for some uses this mineral part is removed by treatment with hydrochloric acid and prolonged washing. . _lampblack._ lampblack and soot are products of imperfect combustion of oil and coal, and are deposited from a smoky flame on a cold surface. the carbon in this form is very finely divided and usually contains various oily materials. ~properties.~ while the various forms of carbon differ in many properties, especially in color and hardness, yet they are all odorless, tasteless solids, insoluble in water and characterized by their stability towards heat. only in the intense heat of the electric arc does carbon volatilize, passing directly from the solid state into a vapor. owing to this fact the inside surface of an incandescent light bulb after being used for some time becomes coated with a dark film of carbon. it is not acted on at ordinary temperatures by most reagents, but at a higher temperature it combines directly with many of the elements, forming compounds called _carbides_. when heated in the presence of sufficient oxygen it burns, forming carbon dioxide. ~uses of carbon.~ the chief use of amorphous carbon is for fuel to furnish heat and power for all the uses of civilization. an enormous quantity of carbon in the form of the purer coals, coke, and charcoal is used as a reducing agent in the manufacture of the various metals, especially in the metallurgy of iron. most of the metals are found in nature as oxides, or in forms which can readily be converted into oxides. when these oxides are heated with carbon the oxygen is abstracted, leaving the metal. retort carbon and coke are used to make electric light carbons and battery plates, while lampblack is used for indelible inks, printer's ink, and black varnishes. bone black and charcoal have the property of absorbing large volumes of certain gases, as well as smaller amounts of organic matter; hence they are used in filters to remove noxious gases and objectionable colors and odors from water. bone black is used extensively in the sugar refineries to remove coloring matter from the impure sugars. ~chemistry of carbon compounds.~ carbon is remarkable for the very large number of compounds which it forms with the other elements, especially with oxygen and hydrogen. compounds containing carbon are more numerous than all others put together, and the chemistry of these substances presents peculiarities not met with in the study of other substances. for these reasons the systematic study of carbon compounds, or of _organic chemistry_ as it is usually called, must be deferred until the student has gained some knowledge of the chemistry of other elements. an acquaintance with a few of the most familiar carbon compounds is, however, essential for the understanding of the general principles of chemistry. ~compounds of carbon with hydrogen,--the hydrocarbons.~ carbon unites with hydrogen to form a very large number of compounds called _hydrocarbons_. petroleum and natural gas are essentially mixtures of a great variety of these hydrocarbons. many others are found in living plants, and still others are produced by the decay of organic matter in the absence of air. only two of them, methane and acetylene, will be discussed here. ~methane~ (_marsh gas_) (ch_{ }). this is one of the most important of these hydrocarbons, and constitutes about nine tenths of natural gas. as its name suggests, it is formed in marshes by the decay of vegetable matter under water, and bubbles of the gas are often seen to rise when the dead leaves on the bottom of pools are stirred. it also collects in mines, and, when mixed with air, is called _fire damp_ by the miners because of its great inflammability, damp being an old name for a gas. it is formed when organic matter, such as coal or wood, is heated in closed vessels, and is therefore a principal constituent of coal gas. ~preparation.~ methane is prepared in the laboratory by heating sodium or calcium acetate with soda-lime. equal weights of fused sodium acetate and soda-lime are thoroughly dried, then mixed and placed in a good-sized, hard-glass test tube fitted with a one-holed stopper and delivery tube. the mixture is gradually heated, and when the air has been displaced from the tube the gas is collected in bottles by displacement of water. soda-lime is a mixture of sodium and calcium hydroxides. regarding it as sodium hydroxide alone, the equation is nac_{ }h_{ }o_{ } + naoh = na_{ }co_{ } + ch_{ }. ~properties.~ methane is a colorless, odorless gas whose density is . . it is difficult to liquefy, boiling at - ° under standard pressure, and is almost insoluble in water. it burns with a pale blue flame, liberating much heat, and when mixed with oxygen is very explosive. ~davy's safety lamp.~ in sir humphry davy invented a lamp for the use of miners, to prevent the dreadful mine explosions then common, due to methane mixed with air. the invention consisted in surrounding the upper part of the common miner's lamp with a mantle of wire gauze and the lower part with glass (fig. ). it has been seen that two gases will not combine until raised to their kindling temperature, and if while combining they are cooled below this point, the combination ceases. a flame will not pass through a wire gauze because the metal, being a good conductor of heat, takes away so much heat from the flame that the gases are cooled below the kindling temperature. when a lamp so protected is brought into an explosive mixture the gases inside the wire mantle burn in a series of little explosions, giving warning to the miner that the air is unsafe. [illustration: fig. ] ~acetylene~ (c_{ }h_{ }). this is a colorless gas usually having a disagreeable odor due to impurities. it is now made in large quantities from calcium carbide (cac_{ }). this substance is formed when coal and lime are heated together in an electric furnace. when treated with water the carbide is decomposed, yielding acetylene: cac_{ } + h_{ }o = c_{ }h_{ } + ca(oh)_{ }. under ordinary conditions the gas burns with a very smoky flame; in burners constructed so as to secure a large amount of oxygen it burns with a very brilliant white light, and hence is used as an illuminant. ~laboratory preparation.~ the gas can be prepared readily in a generator such as is shown in fig. . the inner tube contains fragments of calcium carbide, while the outer one is filled with water. as long as the stopcock is closed the water cannot rise in the inner tube. when the stopcock is open the water rises, and, coming into contact with the carbide in the inner tube, generates acetylene. this escapes through the stopcock, and after the air has been expelled may be lighted as it issues from the burner. [illustration: fig. ] carbon forms two oxides, namely, carbon dioxide (co_{ }) and carbon monoxide (co). ~carbon dioxide~ (co_{ }). carbon dioxide is present in the air to the extent of about parts in , , and this apparently small amount is of fundamental importance in nature. in some localities it escapes from the earth in great quantities, and many spring waters carry large amounts of it in solution. when these highly charged spring waters reach the surface of the earth, and the pressure on them is removed, the carbon dioxide escapes with effervescence. it is a product of the oxidation of all organic matter, and is therefore formed in fires as well as in the process of decay. it is thrown off from the lungs of all animals in respiration, and is a product of many fermentation processes such as vinegar making and brewing. combined with metallic oxides it forms vast deposits of carbonates in nature. ~preparation.~ in the laboratory carbon dioxide is always prepared by the action of an acid upon a carbonate, usually calcium carbonate, the apparatus shown in fig. serving the purpose very well. this reaction might be expected to produce carbonic acid, thus: caco_{ } + hcl = cacl_{ } + h_{ }co_{ }. carbonic acid is very unstable, however, and decomposes into its anhydride, co_{ }, and water, thus: h_{ }co_{ } = h_{ }o + co_{ }. the complete reaction is represented by the equation caco_{ } + hcl = cacl_{ } + co_{ } + h_{ }o. ~physical properties.~ carbon dioxide is a colorless, practically odorless gas whose density is . . its weight may be inferred from the fact that it can be siphoned, or poured like water, from one vessel downward into another. at ° and under ordinary pressure it dissolves in its own volume of water and imparts a somewhat biting, pungent taste to it. it is easily condensed, and is now prepared commercially in this form by pumping the gas into steel cylinders (see fig. ) which are kept cold during the process. when the liquid is permitted to escape into the air part of it instantly evaporates, and in so doing absorbs so much heat that another portion is solidified, the solid form strikingly resembling snow in appearance. this snow is very cold and mercury can easily be frozen with it. ~solid carbon dioxide.~ cylinders of liquid carbon dioxide are inexpensive, and should be available in every school. to demonstrate the properties of solid carbon dioxide, the cylinder should be placed across the table and supported in such a way that the stopcock end is several inches lower than the other end. a loose bag is made by holding the corners of a handkerchief around the neck of the stopcock, and the cock is then turned on so that the gas rushes out in large quantities. very quickly a considerable quantity of the snow collects in the handkerchief. to freeze mercury, press a piece of filter paper into a small evaporating dish and pour the mercury upon it. coil a flat spiral upon the end of a wire, and dip the spiral into the mercury. place a quantity of solid carbon dioxide upon the mercury and pour cc.- cc. of ether over it. in a minute or two the mercury will solidify and may be removed from the dish by the wire serving as a handle. the filter paper is to prevent the mercury from sticking to the dish; the ether dissolves the solid carbon dioxide and promotes its rapid conversion into gas. ~chemical properties.~ carbon dioxide is incombustible, since it is, like water, a product of combustion. it does not support combustion, as does nitrogen peroxide, because the oxygen in it is held in very firm chemical union with the carbon. very strong reducing agents, such as highly heated carbon, can take away half of its oxygen: co_{ } + c = co. ~uses.~ the relation of carbon dioxide to plant life has been discussed in a previous chapter. water highly charged with carbon dioxide is used for making soda water and similar beverages. since it is a non-supporter of combustion and can be generated readily, carbon dioxide is also used as a fire extinguisher. some of the portable fire extinguishers are simply devices for generating large amounts of the gas. it is not necessary that all the oxygen should be kept away from the fire in order to smother it. a burning candle is extinguished in air which contains only . % of carbon dioxide. ~carbonic acid~ (h_{ }co_{ }). like most of the oxides of the non-metallic elements, carbon dioxide is an acid anhydride. it combines with water to form an acid of the formula h_{ }co_{ }, called carbonic acid: h_{ }o + co_{ } = h_{ }co_{ }. the acid is, however, very unstable and cannot be isolated. only a very small amount of it is actually formed when carbon dioxide is passed into water, as is evident from the small solubility of the gas. if, however, a base is present in the water, salts of carbonic acid are formed, and these are quite stable: naoh + h_{ }o + co_{ } = na_{ }co_{ } + h_{ }o. ~action of carbon dioxide on bases.~ this conduct is explained by the principles of reversible reactions. the equation h_{ }o +co_{ } <--> h_{ }co_{ } is a reversible equation, and the extent to which the reaction progresses depends upon the relative concentrations of each of the three factors in it. equilibrium is ordinarily reached when very little h_{ }co_{ } is formed. if a base is present in the water to combine with the h_{ }co_{ } as fast as it is formed, all of the co_{ } is converted into h_{ }co_{ }, and thence into a carbonate. ~salts of carbonic acid,--carbonates.~ the carbonates form a very important class of salts. they are found in large quantities in nature, and are often used in chemical processes. only the carbonates of sodium, potassium, and ammonium are soluble, and these can be made by the action of carbon dioxide on solutions of the bases, as has just been explained. the insoluble carbonates are formed as precipitates when soluble salts are treated with a solution of a soluble carbonate. thus the insoluble calcium carbonate can be made by bringing together solutions of calcium chloride and sodium carbonate: cacl_{ } + na_{ }co_{ } = caco_{ } + nacl. most of the carbonates are decomposed by heat, yielding an oxide of the metal and carbon dioxide. thus lime (calcium oxide) is made by strongly heating calcium carbonate: caco_{ } = cao + co_{ }. ~acid carbonates.~ like all acids containing two acid hydrogen atoms, carbonic acid can form both normal and acid salts. the acid carbonates are made by treating a normal carbonate with an excess of carbonic acid. with few exceptions they are very unstable, heat decomposing them even when in solution. ~action of carbon dioxide on calcium hydroxide.~ if carbon dioxide is passed into clear lime water, calcium carbonate is at first precipitated: h_{ }o + co_{ } = h_{ }co_{ }, ca(oh)_{ } + h_{ }co_{ } = caco_{ } + h_{ }o. advantage is taken of this reaction in testing for the presence of carbon dioxide, as already explained in the chapter on the atmosphere. if the current of carbon dioxide is continued, the precipitate soon dissolves, because the excess of carbonic acid forms calcium acid carbonate which is soluble: caco_{ } + h_{ }co_{ } = ca(hco_{ })_{ }. if now the solution is heated, the acid carbonate is decomposed and calcium carbonate once more precipitated: ca(hco_{ })_{ } = caco_{ } + h_{ }co_{ }. ~carbon monoxide (co).~ carbon monoxide can be made in a number of ways, the most important of which are the three following: . _by the partial oxidation of carbon._ if a slow current of air is conducted over highly heated carbon, the monoxide is formed, thus: c + o = co it is therefore often formed in stoves when the air draught is insufficient. water gas, which contains large amounts of carbon monoxide, is made by partially oxidizing carbon with steam: c + h_{ }o = co + h. . _by the partial reduction of carbon dioxide._ when carbon dioxide is conducted over highly heated carbon it is reduced to carbon monoxide by the excess of carbon: co_{ } + c = co. when coal is burning in a stove or grate carbon dioxide is at first formed in the free supply of air, but as the hot gas rises through the glowing coal it is reduced to carbon monoxide. when the carbon monoxide reaches the free air above the coal it takes up oxygen to form carbon dioxide, burning with the blue flame so familiar above a bed of coals, especially in the case of hard coals. . _by the decomposition of oxalic acid._ in the laboratory carbon monoxide is usually prepared by the action of concentrated sulphuric acid upon oxalic acid. the latter substance has the formula c_{ }h_{ }o_{ }. the sulphuric acid, owing to its affinity for water, decomposes the oxalic acid, as represented in the equation c_{ }h_{ }o_{ } + (h_{ }so_{ }) = (h_{ }so_{ }) + h_{ }o + co_{ } + co. ~properties.~ carbon monoxide is a light, colorless, almost odorless gas, very difficult to liquefy. chemically it is very active, combining directly with a great many substances. it has a great affinity for oxygen and is therefore combustible and a good reducing agent. thus, if carbon monoxide is passed over hot copper oxide, the copper is reduced to the metallic state: cuo + co = cu + co_{ }. when inhaled it combines with the red coloring matter of the blood and in this way prevents the absorption of oxygen, so that even a small quantity of the gas may prove fatal. [illustration: fig. ] ~the reducing power of carbon monoxide.~ fig. illustrates a method of showing the reducing power of carbon monoxide. the gas is generated by gently heating or g. of oxalic acid with cc. of concentrated sulphuric acid in a cc. flask a. the bottle b contains a solution of sodium hydroxide, which removes the carbon dioxide formed along with the monoxide. c contains a solution of calcium hydroxide to show that the carbon dioxide is completely removed. e is a hard-glass tube containing or g. of copper oxide, which is heated by a burner. the black copper oxide is reduced to reddish metallic copper by the carbon monoxide, which is thereby changed to carbon dioxide. the presence of the carbon dioxide is shown by the precipitate in the calcium hydroxide solution in d. any unchanged carbon monoxide is collected over water in f. ~carbon disulphide~ (cs_{ }). just as carbon combines with oxygen to form carbon dioxide, so it combines with sulphur to form carbon disulphide (cs_{ }). this compound has been described in the chapter on sulphur. ~hydrocyanic acid~ (_prussic acid_)(hcn). under the proper conditions carbon unites with nitrogen and hydrogen to form the acid hcn, called hydrocyanic acid. it is a weak, volatile acid, and is therefore easily prepared by treating its salts with sulphuric acid: kcn + h_{ }so_{ } = khso_{ } + hcn. it is most familiar as a gas, though it condenses to a colorless liquid boiling at °. it has a peculiar odor, suggesting bitter almonds, and is extremely poisonous either when inhaled or when taken into the stomach. a single drop may cause death. it dissolves readily in water, its solution being commonly called prussic acid. the salts of hydrocyanic acid are called _cyanides_, the cyanides of sodium and potassium being the best known. these are white solids and are extremely poisonous. ~solutions of potassium cyanide are alkaline.~ a solution of potassium cyanide turns red litmus blue, and must therefore contain hydroxyl ions. the presence of these ions is accounted for in the following way. although water is so little dissociated into its ions h^{+} and oh^{-} that for most purposes we may neglect the dissociation, it is nevertheless measurably dissociated. hydrocyanic acid is one of the weakest of acids, and dissociates to an extremely slight extent. when a cyanide such as potassium cyanide dissolves it freely dissociates, and the cn^{-} ions must come to an equilibrium with the h^{+} ions derived from the water: h^{+} + cn^{-} <--> hcn. the result of this equilibrium is that quite a number of h^{+} ions from the water are converted into undissociated hcn molecules. but for every h^{+} ion so removed an oh^{-} ion remains free, and this will give the solution alkaline properties. exercises . how can you prove that the composition of the different allotropic forms of carbon is the same? . are lampblack and bone black allotropic forms of carbon? will equal amounts of heat be liberated in the combustion of g. of each? . how could you judge of the relative purity of different forms of carbon? . apart from its color, why should carbon be useful in the preparation of inks and paints? . could asbestos fibers be used to replace the wire in a safety lamp? . why do most acids decompose carbonates? . what effect would doubling the pressure have upon the solubility of carbon dioxide in water? . what compound would be formed by passing carbon dioxide into a solution of ammonium hydroxide? write the equation. . write equations for the preparation of k_{ }co_{ }; of baco_{ }; of mgco_{ }. . in what respects are carbonic and sulphurous acids similar? . give three reasons why the reaction which takes place when a solution of calcium acid carbonate is heated, completes itself. . how could you distinguish between carbonates and sulphites? . how could you distinguish between oxygen, hydrogen, nitrogen, nitrous oxide, and carbon dioxide? . could a solution of sodium hydroxide be substituted for the solution of calcium hydroxide in testing for carbon dioxide? . what weight of sodium hydroxide is necessary to neutralize the carbonic acid formed by the action of hydrochloric acid on g. of calcium carbonate? . what weight of calcium carbonate would be necessary to prepare sufficient carbon dioxide to saturate l. of water at ° and under ordinary pressure? . on the supposition that calcium carbide costs cents a kilogram, what would be the cost of an amount sufficient to generate l. of acetylene measured at ° and mm.? . how would the volume of a definite amount of carbon monoxide compare with the volume of carbon dioxide formed by its combustion, the measurements being made under the same conditions? chapter xviii flames,--illuminants ~conditions necessary for flames.~ it has been seen that when two substances unite chemically, with the production of light and heat, the act of union is called combustion. when one of the substances undergoing combustion remains solid at the temperature occasioned by the combustion, light may be given off, but there is no flame. thus iron wire burning in oxygen throws off a shower of sparks and is brilliantly incandescent, but no flame is seen. when, however, both of the substances are gases or vapors at the temperature reached in the combustion, the act of union is accompanied by a flame. ~flames from burning liquids or solids.~ many substances which are liquids or solids at ordinary temperatures burn with a flame because the heat of combustion vaporizes them slowly, and the flame is due to the union of this vapor with the gas supporting the combustion. ~supporter of combustion.~ that gas which surrounds the flame and constitutes the atmosphere in which the combustion occurs is said to support the combustion. the other gas which issues into this atmosphere is said to be the combustible gas. thus, in the ordinary combustion of coal gas in the air the coal gas is said to be combustible, while the air is regarded as the supporter of combustion. these terms are entirely relative, however, for a jet of air issuing into an atmosphere of coal gas will burn when ignited, the coal gas supporting the combustion. ordinarily, when we say that a gas is combustible we mean that it is combustible in an atmosphere of air. [illustration: fig. ] ~either gas may be the supporter of combustion.~ that the terms _combustible_ and _supporter of combustion_ are merely relative may be shown in the following way: a lamp chimney a is fitted with a cork and glass tubes, as shown in fig. . the tube c should have a diameter of from to mm. a thin sheet of asbestos in which is cut a circular opening about cm. in diameter is placed over the top of the chimney. the opening in the asbestos is closed with the palm of the hand, and gas is admitted to the chimney through the tube b. the air in the chimney is soon expelled through the tube c, and the gas itself is then lighted at the lower end of this tube. the hand is now removed from the opening in the asbestos, when the flame at the end of the tube at once rises and appears at the end within the chimney, as shown in the figure. the excess of coal gas now escapes from the opening in the asbestos and may be lighted. the flame at the top of the asbestos board is due to the combustion of coal gas in air, while the flame within the chimney is due to the combustion of air in coal gas, the air being drawn up through the tube by the escaping gas. ~appearance of flames.~ the flame caused by the union of hydrogen and oxygen is almost colorless and invisible. chlorine and hydrogen combine with a pale violet flame, carbon monoxide burns in oxygen with a blue flame, while ammonia burns with a deep yellow flame. the color and appearance of flames are therefore often quite characteristic of the particular combustion which occasions them. ~structure of flames.~ when the gas undergoing combustion issues from a round opening into an atmosphere of the gas supporting combustion, as is the case with the burning bunsen burner (fig. ), the flame is generally conical in outline. it consists of several distinct cones, one within the other, the boundary between them being marked by differences of color or luminosity. in the simplest flame, of which hydrogen burning in oxygen is a good example, these cones are two in number,--an inner one, formed by unburned gas, and an outer one, usually more or less luminous, consisting of the combining gases. this outer one is in turn surrounded by a third envelope of the products of combustion; this envelope is sometimes invisible, as in the present case, but is sometimes faintly luminous. the lower part of the inner cone of the flame is quite cool and consists of unburned gas. toward the top of the inner cone the gas has become heated to a high temperature by the burning envelope surrounding it. on reaching the supporter of combustion on the outside it is far above its kindling temperature, and combustion follows with the evolution of much heat. the region of combustion just outside the inner cone is therefore the hottest part of the flame. [illustration: fig. ] ~oxidizing and reducing flames.~ since the tip of the outside cone consists of very hot products of combustion mixed with oxygen from the air, a substance capable of oxidation placed in this part of the flame becomes very hot and is easily oxidized. the oxygen with which it combines comes, of course, from the atmosphere, and not from the products of combustion. this outer tip of the flame is called the _oxidizing flame_. at the tip of the inner cone the conditions are quite different. this region consists of a highly heated combustible gas, which has not yet reached a supply of oxygen. if a substance rich in oxygen, such as a metallic oxide, is placed in this region of the flame, the heated gases combine with its oxygen and the substance is reduced. this part of the flame is called the _reducing flame_. these flames are used in testing certain substances, especially minerals. for this purpose they are produced by blowing into a small luminous bunsen flame from one side through a blowpipe. this is a tube of the shape shown in fig. . the flame is directed in any desired way and has the oxidizing and reducing regions very clearly marked (fig. ). it is non-luminous from the same causes which render the open bunsen burner flame non-luminous, the gases from the lungs serving to furnish oxygen and to dilute the combustible gas. [illustration: fig. ] [illustration: fig. ] ~luminosity of flames.~ the luminosity of flames is due to a number of distinct causes, and may therefore be increased or diminished in several ways. . _presence of solid matter._ the most obvious of these causes is the presence in the flame of incandescent solid matter. thus chalk dust sifted into a non-luminous flame renders it luminous. when hydrocarbons form a part of the combustible gas, as they do in nearly all illuminating gases and oils, some carbon is usually set free in the process of combustion. this is made very hot by the flame and becomes incandescent, giving out light. in a well-regulated flame it is afterward burned up, but when the supply of oxygen is insufficient it escapes from the flame as lampblack or soot. that it is temporarily present in a well-burning luminous flame may be demonstrated by holding a cold object, such as a small evaporating dish, in the flame for a few seconds. this cold object cools the carbon below its kindling temperature, and it is deposited on the object as soot. . _pressure._ a second factor in the luminosity of flames is the pressure under which the gases are burning. under increased pressure there is more matter in a given volume of a gas, and the chemical action is more energetic than when the gases are rarefied. consequently there is more heat and light. a candle burning on a high mountain gives less light than when it burns at the sea level. if the gas is diluted with a non-combustible gas, the effect is the same as if it is rarefied, for under these conditions there is less combustible gas in a given volume. . _temperature._ the luminosity also depends upon the temperature attained in the combustion. in general the hotter the flame the greater the luminosity; hence cooling the gases before combustion diminishes the luminosity of the flame they will make, because it diminishes the temperature attained in the combustion. thus the luminosity of the bunsen flame is largely diminished by the air drawn up with the gas. this is due in part to the fact that the burning gas is diluted and cooled by the air drawn in. the oxygen thus introduced into the flame also causes the combustion of the hot particles of carbon which would otherwise tend to make the flame luminous. ~illuminating and fuel gases.~ a number of mixtures of combustible gases, consisting largely of carbon compounds and hydrogen, find extensive use for the production of light and heat. the three chief varieties are coal gas, water gas, and natural gas. the use of acetylene gas has already been referred to. ~coal gas.~ coal gas is made by heating bituminous coal in large retorts out of contact with the air. soft or bituminous coal contains, in addition to large amounts of carbon, considerable quantities of compounds of hydrogen, oxygen, nitrogen, and sulphur. when distilled the nitrogen is liberated partly in the form of ammonia and cyanides and partly as free nitrogen gas; the sulphur is converted into hydrogen sulphide, carbon disulphide, and oxides of sulphur; the oxygen into water and oxides of carbon. the remaining hydrogen is set free partly as hydrogen and partly in combination with carbon in the form of hydrocarbons. the most important of these is methane, with smaller quantities of many others, some of which are liquids or solids at ordinary temperatures. the great bulk of the carbon remains behind as coke and retort carbon. ~the manufacture of coal gas.~ in the manufacture of coal gas it is necessary to separate from the volatile constituents formed by the heating of the coal all those substances which are either solid or liquid at ordinary temperature, since these would clog the gas pipes. certain gaseous constituents, such as hydrogen sulphide and ammonia, must also be removed. the method used to accomplish this is shown in fig. . the coal is heated in air-tight retorts illustrated by a. the volatile products escape through the pipe x and bubble into the tarry liquid in the large pipe b, known as the _hydraulic main_, which runs at right angles to the retorts. here is deposited the greater portion of the solid and liquid products, forming a tarry mass known as _coal tar_. much of the ammonia also remains dissolved in this liquid. the partially purified gas then passes into the pipes c, which serve to cool it and further remove the solid and liquid matter. the gas then passes into d, which is filled with coke over which a jet of water is sprayed. the water still further cools the gas and at the same time partially removes such gaseous products as hydrogen sulphide and ammonia, which are soluble in water. in e the gas passes over some material such as lime, which removes the last portions of the sulphur compounds as well as much of the carbon dioxide present. from e the gas passes into the large gas holder f, from which it is distributed through pipes to the places where it is burned. [illustration: fig. ] one ton of good gas coal yields approximately , cu. ft. of gas, lb. of coke, lb. of tar, and gal. of ammoniacal liquor. not only is the ammonia obtained in the manufacture of the gas of great importance, but the coal tar also serves as the source of many very useful substances, as will be explained in chapter xxxii. ~water gas.~ water gas is essentially a mixture of carbon monoxide and hydrogen. it is made by passing steam over very hot anthracite coal, when the reaction shown in the following equation takes place: c + h_{ }o = co + h. when required merely to produce heat the gas is at once ready for use. when made for illuminating purposes it must be enriched, that is, illuminants must be added, since both carbon monoxide and hydrogen burn with non-luminous flames. this is accomplished by passing it into heaters containing highly heated petroleum oils. the gas takes up hydrocarbon gases formed in the decomposition of the petroleum oils, which make it burn with a luminous flame. water gas is very effective as a fuel, since both carbon monoxide and hydrogen burn with very hot flames. it has little odor and is very poisonous. its use is therefore attended with some risk, since leaks in pipes are very likely to escape notice. ~natural gas.~ this substance, so abundant in many localities, varies much in composition, but is composed principally of methane. when used for lighting purposes it is usually burned in a burner resembling an open bunsen, the illumination being furnished by an incandescent mantle. this is the case in the familiar welsbach burner. contrary to statements frequently made, natural gas contains no free hydrogen. table showing composition of gases =====================+================+========+========+========== | pennsylvania | coal | water | enriched | natural | gas | gas | water | gas | | | gas ---------------------+----------------+--------+--------+---------- hydrogen | | . | . | . methane | . | . | . | . illuminants | | . | | . carbon monoxide | | . | . | . carbon dioxide | . | . | . | . nitrogen | . | . | . | . oxygen | | . | | . hydrocarbon vapors | | . | | . =====================+================+========+========+========== these are analyses of actual samples, and may be taken as about the average for the various kinds of gases. any one of these may vary considerably. the nitrogen and oxygen in most cases is due to a slight admixture of air which is difficult to exclude entirely in the manufacture and handling of gases. ~fuels.~ a variety of substances are used as fuels, the most important of them being wood, coal, and the various gases mentioned above. wood consists mainly of compounds of carbon, hydrogen, and oxygen. the composition of coal and the fuel gases has been given. since these fuels are composed principally of carbon and hydrogen or their compounds, the chief products of combustion are carbon dioxide and water. the practice of heating rooms with portable gas or oil stoves with no provision for removing the products of combustion is to be condemned, since the carbon dioxide is generated in sufficient quantities to render the air unfit for breathing. rooms so heated also become very damp from the large amount of water vapor formed in the combustion, and which in cold weather condenses on the window glass, causing the glass to "sweat." both coal and wood contain a certain amount of mineral substances which constitute the ashes. ~the electric furnace.~ in recent years electric furnaces have come into wide use in operations requiring a very high temperature. temperatures as high as ° can be easily reached, whereas the hottest oxyhydrogen flame is not much above °. these furnaces are constructed on one of two general principles. [illustration: fig. ] . _arc furnaces._ in the one type the source of heat is an electric arc formed between carbon electrodes separated a little from each other, as shown in fig. . the substance to be heated is placed in a vessel, usually a graphite crucible, just below the arc. the electrodes and crucible are surrounded by materials which fuse with great difficulty, such as magnesium oxide, the walls of the furnace being so shaped as to reflect the heat downwards upon the contents of the crucible. [illustration: fig. ] . _resistance furnaces._ in the other type of furnace the heat is generated by the resistance offered to the current in its passage through the furnace. in its simplest form it may be represented by fig. . the furnace is merely a rectangular box built up of loose bricks. the electrodes e, each consisting of a bundle of carbon rods, are introduced through the sides of the furnace. the materials to be heated, c, are filled into the furnace up to the electrodes, and a layer of broken coke is arranged so as to extend from one electrode to the other. more of the charge is then placed on top of the coke. in passing through the broken coke the electrical current encounters great resistance. this generates great heat, and the charge surrounding the coke is brought to a very high temperature. the advantage of this type of furnace is that the temperature can be regulated to any desired intensity. exercises . why does charcoal usually burn with no flame? how do you account for the flame sometimes observed when it burns? . how do you account for the fact that a candle burns with a flame? . what two properties must the mantle used in the welsbach lamp possess? . (a) in what respects does the use of the welsbach mantle resemble that of lime in the calcium light? (b) if the mantle were made of carbon, would it serve the same purpose? . would anthracite coal be suitable for the manufacture of coal gas? . how could you prove the formation of carbon dioxide and water in the combustion of illuminating gases? . suggest a probable way in which natural gas has been formed. . coal frequently contains a sulphide of iron. (a) what two sulphur compounds are likely to be formed when gas is made from such coal? (b) suggest some suitable method for the removal of these compounds. . why does the use of the bellows on the blacksmith's forge cause a more intense heat? . what volume of oxygen is necessary to burn l. of marsh gas and what volume of carbon dioxide would be formed, all of the gases being measured under standard conditions? . suppose a cubic meter of pennsylvania natural gas, measured under standard conditions, were to be burned. how much water by weight would result? chapter xix molecular weights, atomic weights, formulas ~introduction.~ in the chapter on the atomic theory, it was shown that if it were true that two elements uniting to form a compound always combined in the ratio of one atom of one element to one atom of the other element, it would be a very easy matter to decide upon figures which would represent the relative weights of the different atoms. it would only be necessary to select some one element as a standard and determine the weight of every element which combines with a definite weight (say g.) of the standard element. the figures so obtained would evidently represent the relative weights of the atoms. but the law of multiple proportion at once reminds us that two elements may unite in several proportions; and there is no simple way to determine the number of atoms present in the molecule of any compound. consequently the problem of deciding upon the relative atomic weights is not an easy one. to the solution of this problem we must now turn. ~dalton's method of determining atomic weights.~ when dalton first advanced the atomic theory he attempted to solve this problem by very simple methods. he thought that when only one compound of two elements is known it is reasonable to suppose that it contains one atom of each element. he therefore gave the formula ho to water, and hn to ammonia. when more than two compounds were known he assumed that the most familiar or the most stable one had the simple formula. he then determined the atomic weight as explained above. the results he obtained were contradictory and very far from satisfactory, and it was soon seen that some other method, resting on much more scientific grounds, must be found to decide what compounds, if any, have a single atom of each element present. ~determination of atomic weights.~ three distinct steps are involved in the determination of the atomic weight of an element: ( ) determination of the equivalent, ( ) determination of molecular weights of its compounds, and ( ) deduction of the exact atomic weight from the equivalent and molecular weights. ~ . determination of the equivalent.~ by the equivalent of an element is meant the weight of the element which will combine with a fixed weight of some other element chosen as a standard. it has already been explained that oxygen has been selected as the standard element for atomic weights, with a weight of . this same standard will serve very well as a standard for equivalents. _the equivalent of an element is the weight of the element which will combine with g. of oxygen._ thus g. of oxygen combines with . g. of sulphur, . g. of zinc, . g. of silver, . g. of chlorine. these figures, therefore, represent the equivalent weights of these elements. ~relation of atomic weights to equivalents.~ according to the atomic theory combination always takes place between whole numbers of atoms. thus one atom unites with one other, or with two or three; or two atoms may unite with three, or three with five, and so on. when oxygen combines with zinc the combination must be between definite numbers of the two kinds of atoms. experiment shows that these two elements combine in the ratio of g. of oxygen to . g. of zinc. if one atom of oxygen combines with one atom of zinc, then this ratio must be the ratio between the weights of the two atoms. if one atom of oxygen combines with two atoms of zinc, then the ratio between the weights of the two atoms will be : . . if two atoms of oxygen combine with one atom of zinc, the ratio by weight between the two atoms will be : . . it is evident, therefore, that the real atomic weight of an element must be some multiple or submultiple of the equivalent; in other words, the equivalent multiplied by / , , , or will give the atomic weight. ~combining weights.~ a very interesting relation holds good between the equivalents of the various elements. we have just seen that the figures . , . , . , and . are the equivalents respectively of sulphur, zinc, silver, and chlorine. these same figures represent the ratios by weight in which these elements combine among themselves. thus . g. of silver combine with . g. of chlorine and with × . g. of sulphur. . g. of zinc combine with . g. of chlorine and × . g. of sulphur. by taking the equivalent or some multiple of it a value can be obtained for each element which will represent its combining value, and for this reason is called its _combining weight_. it is important to notice that the fact that a combining weight can be obtained for each element is not a part of a theory, but is the direct result of experiment. ~elements with more than one equivalent.~ it will be remembered that oxygen combines with hydrogen in two ratios. in one case g. of oxygen combine with . g. of hydrogen to form water; in the other g. of oxygen combine with . g. of hydrogen to form hydrogen dioxide. the equivalents of hydrogen are therefore . and . . barium combines with oxygen in two proportions: in barium oxide the proportion is g. of oxygen to . g. of barium; in barium dioxide the proportion is g. of oxygen to . g. of barium. in each case one equivalent is a simple multiple of the other, so the fact that there may be two equivalents does not add to the uncertainty. all we knew before was that the true atomic weight is some multiple of the equivalent. ~ . the determination of molecular weights.~ to decide the question as to which multiple of the equivalent correctly represents the atomic weight of an element, it has been found necessary to devise a method of determining the molecular weights of compounds containing the element in question. since the molecular weight of a compound is merely the sum of the weights of all the atoms present in it, it would seem to be impossible to determine the molecular weight of a compound without first knowing the atomic weights of the constituent atoms, and how many atoms of each element are present in the molecule. but certain facts have been discovered which suggest a way in which this can be done. ~avogadro's hypothesis.~ we have seen that the laws of boyle, charles, and gay-lussac apply to all gases irrespective of their chemical character. this would lead to the inference that the structure of gases must be quite simple, and that it is much the same in all gases. in avogadro, an italian physicist, suggested that if we assume all gases under the same conditions of temperature and pressure to have the same number of molecules in a given volume, we shall have a probable explanation of the simplicity of the gas laws. it is difficult to prove the truth of this hypothesis by a simple experiment, but there are so many facts known which are in complete harmony with this suggestion that there is little doubt that it expresses the truth. avogadro's hypothesis may be stated thus: _equal volumes of all gases under the same conditions of temperature and pressure contain the same number of molecules._ ~avogadro's hypothesis and molecular weights.~ assuming that avogadro's hypothesis is correct, we have a very simple means for deciding upon the relative weights of molecules; for if equal volumes of two gases contain the same number of molecules, the weights of the two volumes must be in the same ratio as the weights of the individual molecules which they contain. if we adopt some one gas as a standard, we can express the weights of all other gases as compared with this one, and the same figures will express the relative weights of the molecules of which the gases are composed. ~oxygen as the standard.~ it is important that the same standard should be adopted for the determination of molecular weights as has been decided upon for atomic weights and equivalents, so that the three values may be in harmony with each other. accordingly it is best to adopt oxygen as the standard element with which to compare the molecular weights of other gases, being careful to keep the oxygen atom equal to . ~the oxygen molecule contains two atoms.~ one point must not be overlooked, however. we desire to have our unit, the oxygen _atom_, equal to . the method of comparing the weights of gases just suggested compares the molecules of the gases with the _molecule_ of oxygen. is the molecule and the atom of oxygen the same thing? this question is answered by the following considerations. we have seen that when steam is formed by the union of oxygen and hydrogen, two volumes of hydrogen combine with one volume of oxygen to form two volumes of steam. let us suppose that the one volume of oxygen contains molecules; then the two volumes of steam must, according to avogadro's hypothesis, contain molecules. but each of these molecules must contain at least one atom of oxygen, or in all, and these atoms came from molecules of oxygen. it follows that each molecule of oxygen must contain at least two atoms of oxygen. evidently this reasoning merely shows that there are _at least_ two atoms in the oxygen molecule. there may be more than that, but as there is no evidence to this effect, we assume that the molecule contains two atoms only. it is evident that if we wish to retain the value for the atom of oxygen we must take twice this value, or , for the value of the oxygen molecule, when using it as a standard for molecular weights. ~determination of the molecular weights of gases from their weights compared with oxygen.~ assuming the molecular weight of oxygen to be , avogadro's hypothesis gives us a ready means for determining the molecular weight of any other gas, for all that is required is to know its weight compared with that of an equal volume of oxygen. for example, l. of chlorine is found by experiment to weigh . times as much as l. of oxygen. the molecular weight of chlorine must therefore be . × , or . . if, instead of comparing the relative weights of l. of the two gases, we select such a volume of oxygen as will weigh g., or the weight in grams corresponding to the molecular weight of the gas, the calculation is much simplified. it has been found that g. of oxygen, under standard conditions, measure . l. this same volume of hydrogen weighs . g.; of chlorine . g.; of hydrochloric acid . g. the weights of these equal volumes must be proportional to their molecular weights, and since the weight of the oxygen is the same as the value of its molecular weight, so too will the weights of the . l. of the other gases be equal to the value of their molecular weights. as a summary we can then make the following statement: _the molecular weight of any gas may be determined by calculating the weight of . l. of the gas, measured under standard conditions._ ~determination of molecular weights from density of gases.~ in an actual experiment it is easier to determine the density of a gas than the weight of a definite volume of it. the density of a gas is usually defined as its weight compared with that of an equal volume of air. having determined the density of a gas, its weight compared with oxygen may be determined by multiplying its density by the ratio between the weights of air and oxygen. this ratio is . . to compare it with our standard for atomic weights we must further multiply it by , since the standard is / the weight of oxygen molecules. the steps then are these: . determine the density of the gas (its weight compared with air). . multiply by . to make the comparison with oxygen molecules. . multiply by to make the comparison with the unit for atomic weights. we have, then, the formula: molecular weight = density × . × ; or, still more briefly, m. = d. × . . the value found by this method for the determination of molecular weights will of course agree with those found by calculating the weight of . l. of the gas, since both methods depend on the same principles. [illustration: fig. ] ~determination of densities of gases.~ the relative weights of equal volumes of two gases can be easily determined. the following is one of the methods used. a small flask, such as is shown in fig. , is filled with one of the gases, and after the temperature and pressure have been noted the flask is sealed up and weighed. the tip of the sealed end is then broken off, the flask filled with the second gas, and its weight determined. if the weight of the empty flask is subtracted from these two weighings, the relative weights of the gases is readily found. ~ . deduction of atomic weights from molecular weights and equivalents.~ we have now seen how the equivalent of an element and the molecular weight of compounds containing the element can be obtained. let us see how it is possible to decide which multiple of the equivalent really is the true atomic weight. as an example, let us suppose that the equivalent of nitrogen has been found to be . and that it is desired to obtain its atomic weight. the next step is to obtain the molecular weights of a large number of compounds containing nitrogen. the following will serve: ==================+============+=============+================+============== | | approximate | percentage of | part of | density by | molecular | nitrogen by | molecular | experiment | weight | experiment | weight due | | (d. × . ) | | to nitrogen ------------------+------------+-------------+----------------+-------------- nitrogen gas | . | . | . | . nitrous oxide | . | . | . | . nitric oxide | . | . | . | . nitrogen peroxide | . | . | . | . ammonia | . | . | . | . nitric acid | . | . | . | . hydrocyanic acid | . | . | . | . ==================+============+=============+================+============== ~method of calculation.~ the densities of the various gases in the first column of this table are determined by experiment, and are fairly accurate but not entirely so. by multiplying these densities by . the molecular weights of the compounds as given in the second column are obtained. by chemical analysis it is possible to determine the percentage composition of these substances, and the percentages of nitrogen in them as determined by analysis are given in the third column. if each of these molecular weights is multiplied in turn by the percentage of nitrogen in the compound, the product will be the weight of the nitrogen in the molecular weight of the compound. this will be the sum of the weights of the nitrogen atoms in the molecule. these values are given in the fourth column in the table. if a large number of compounds containing nitrogen are studied in this way, it is probable that there will be included in the list at least one substance whose molecule contains a single nitrogen atom. in this case the number in the fourth column will be the approximate atomic weight of nitrogen. on comparing the values for nitrogen in the table it will be seen that a number which is approximately is the smallest, and that the others are multiples of this. these compounds of higher value, therefore, contain more than one nitrogen atom in the molecule. ~accurate determination of atomic weights.~ molecular weights cannot be determined very accurately, and consequently the part in them due to nitrogen is a little uncertain, as will be seen in the table. all we can tell by this method is that the true weight is very near . the equivalent can however be determined very accurately, and we have seen that it is some multiple or submultiple of the true atomic weight. since molecular-weight determinations have shown that in the case of nitrogen the atomic weight is near , and we have found the equivalent to be . , it is evident that the true atomic weight is twice the equivalent, or . × = . . ~summary.~ these, then, are the steps necessary to establish the atomic weight of an element. . determine the equivalent accurately by analysis. . determine the molecular weight of a large number of compounds of the element, and by analysis the part of the molecular weight due to the element. the smallest number so obtained will be approximately the atomic weight. . multiply the equivalent by the small whole number (usually , , or ), which will make a number very close to the approximate atomic weight. the figure so obtained will be the true atomic weight. ~molecular weights of the elements.~ it will be noticed that the molecular weight of nitrogen obtained by multiplying its density by . is . . yet the atomic weight of nitrogen as deduced from a study of its gaseous compounds is . . the simplest explanation that can be given for this is that the gaseous nitrogen is made up of molecules, each of which contains two atoms. in this respect it resembles oxygen; for we have seen that an entirely different line of reasoning leads us to believe that the molecule of oxygen contains two atoms. when we wish to indicate molecules of these gases the symbols n_{ } and o_{ } should be used. when we desire to merely show the weights taking part in a reaction this is not necessary. the vapor densities of many of the elements show that, like oxygen and nitrogen, their molecules consist of two atoms. in other cases, particularly among the metals, the molecule and the atom are identical. still other elements have four atoms in their molecules. while oxygen contains two atoms in its molecules, a study of ozone has led to the conclusion that it has three. the formation of ozone from oxygen can therefore be represented by the equation o_{ } = o_{ }. ~other methods of determining molecular weights.~ it will be noticed that avogadro's law gives us a method by which we can determine the relative weights of the molecules of two gases because it enables us to tell when we are dealing with an equal number of the two kinds of molecules. if by any other means we can get this information, we can make use of the knowledge so gained to determine the molecular weights of the two substances. ~raoult's laws.~ two laws have been discovered which give us just such information. they are known as raoult's laws, and can be stated as follows: . _when weights of substances which are proportional to their molecular weights are dissolved in the same weight of solvent, the rise of the boiling point is the same in each case._ . _when weights of substances which are proportional to their molecular weights are dissolved in the same weight of solvent, the lowering of the freezing point is the same in each case._ by taking advantage of these laws it is possible to determine when two solutions contain the same number of molecules of two dissolved substances, and consequently the relative molecular weights of the two substances. ~law of dulong and petit.~ in dulong and petit discovered a very interesting relation between the atomic weight of an element and its specific heat, which holds true for elements in the solid state. if equal weights of two solids, say, lead and silver, are heated through the same range of temperature, as from ° to °, it is found that very different amounts of heat are required. the amount of heat required to change the temperature of a solid or a liquid by a definite amount compared with the amount required to change the temperature of an equal weight of water by the same amount is called its specific heat. dulong and petit discovered the following law: _the specific heat of an element in the solid form multiplied by its atomic weight is approximately equal to the constant . ._ that is, at. wt. × sp. ht. = . . consequently, . at. wt. = -------- sp. ht. this law is not very accurate, but it is often possible by means of it to decide upon what multiple of the equivalent is the real atomic weight. thus the specific heat of iron is found by experiment to be . , and its equivalent is . . . ÷ . = . . we see, therefore, that the atomic weight is twice the equivalent, or . . ~how formulas are determined.~ it will be well in connection with molecular weights to consider how the formula of a compound is decided upon, for the two subjects are very closely associated. some examples will make clear the method followed. the molecular weight of a substance containing hydrogen and chlorine was . . by analysis . parts of the substance was found to contain part of hydrogen and . parts of chlorine. as these are the simple atomic weights of the two elements, the formula of the compound must be hcl. a substance consisting of oxygen and hydrogen was found to have a molecular weight of . analysis showed that in parts of the substance there were parts of hydrogen and parts of oxygen. dividing these figures by the atomic weights of the two elements, we get ÷ = for h; ÷ = for o. the formula is therefore h_{ }o_{ }. a substance containing . % h, . % s, and . % o was found to have a molecular weight of . in these parts of the substance there are × . % = parts of h, × . % = parts of s, and × . % = parts of o. if the molecule weighs , the hydrogen atoms present must together weigh , the sulphur atoms , and the oxygen atoms . dividing these figures by the respective atomic weights of the three elements, we have, for h, ÷ = atoms; for s, ÷ = atom; for o, ÷ = atoms. hence the formula is h_{ }so_{ }. we have, then, this general procedure: find the percentage composition of the substance and also its molecular weight. multiply the molecular weight successively by the percentage of each element present, to find the amount of the element in the molecular weight of the compound. the figures so obtained will be the respective parts of the molecular weight due to the several atoms. divide by the atomic weights of the respective elements, and the quotient will be the number of atoms present. ~avogadro's hypothesis and chemical calculations.~ this law simplifies many chemical calculations. . _application to volume relations in gaseous reactions._ since equal volumes of gases contain an equal number of molecules, it follows that when an equal number of gaseous molecules of two or more gases take part in a reaction, the reaction will involve equal volumes of the gases. in the equation c_{ }h_{ }o_{ } = h_{ }o + co_{ } + co, since molecule of each of the gases co_{ } and co is set free from each molecule of oxalic acid, the two substances must always be set free in equal volumes. acetylene burns in accordance with the equation c_{ }h_{ } + o_{ } = co_{ } + h_{ }o. hence volumes of acetylene will react with volumes of oxygen to form volumes of carbon dioxide and volumes of steam. that the volume relations may be correct a gaseous element must be given its molecular formula. thus oxygen must be written o_{ } and not o. . _application to weights of gases._ it will be recalled that the molecular weight of a gas is determined by ascertaining the weight of . l. of the gas. this weight in grams is called the _gram-molecular weight_ of a gas. if the molecular weight of any gas is known, the weight of a liter of the gas under standard conditions may be determined by dividing its gram-molecular weight by . . thus the gram-molecular weight of a hydrochloric acid gas is . . a liter of the gas will therefore weigh . ÷ . = . g. exercises . from the following data calculate the atomic weight of sulphur. the equivalent, as obtained by an analysis of sulphur dioxide, is . . the densities and compositions of a number of compounds containing sulphur are as follows: name density composition by percentage hydrosulphuric acid . s = . h = . sulphur dioxide . s = . o = . sulphur trioxide . s = . o = . sulphur chloride . s = . cl = . sulphuryl chloride . s = . cl = . o = . carbon disulphide . s = . c = . . calculate the formulas for compounds of the following compositions: molecular weight ( ) s = . % o = . % h = . % . ( ) ca = . s = . o = . . ( ) k = . n = . o = . . . the molecular weight of ammonia is . ; of sulphur dioxide is . ; of chlorine is . . from the molecular weight calculate the weight of l. of each of these gases. compare your results with the table on the back cover of the book. . from the molecular weight of the same gases calculate the density of each, referred to air as a standard. . a mixture of cc. of carbon monoxide and cc. of oxygen was exploded in a eudiometer, (a) what gases remained in the tube after the explosion? (b) what was the volume of each? . in what proportion must acetylene and oxygen be mixed to produce the greatest explosion? . solve problem , chapter xvii, without using molecular weights. compare your results. . solve problem , chapter xviii, without using molecular weights. compare your results. . the specific heat of aluminium is . ; of lead is . . from these specific heats calculate the atomic weights of each of the elements. chapter xx the phosphorus family ================================================== | | atomic | | melting | symbol | weight | density | point -----------+--------+---------+---------+--------- phosphorus | p | . | . | . ° arsenic | as | . | . | --- antimony | sb | . | . | ° bismuth | bi | . | . | ° ================================================== ~the family.~ the elements constituting this family belong in the same group with nitrogen and therefore resemble it in a general way. they exhibit a regular gradation of physical properties, as is shown in the above table. the same general gradation is also found in their chemical properties, phosphorus being an acid-forming element, while bismuth is essentially a metal. the other two elements are intermediate in properties. ~compounds.~ in general the elements of the family form compounds having similar composition, as is shown in the following table: ph_{ } pcl_{ } pcl_{ } p_{ }o_{ } p_{ }o_{ } ash_{ } ascl_{ } ascl_{ } as_{ }o_{ } as_{ }o_{ } sbh_{ } sbcl_{ } sbcl_{ } sb_{ }o_{ } sb_{ }o_{ } .... bicl_{ } bicl_{ } bi_{ }o_{ } bi_{ }o_{ } in the case of phosphorus, arsenic, and antimony the oxides are acid anhydrides. salts of at least four acids of each of these three elements are known, the free acid in some instances being unstable. the relation of these acids to the corresponding anhydrides may be illustrated as follows, phosphorus being taken as an example: p_{ }o_{ } + h_{ }o = h_{ }po_{ } (phosphorous acid). p_{ }o_{ } + h_{ }o = h_{ }po_{ } (phosphoric acid). p_{ }o_{ } + h_{ }o = h_{ }p_{ }o_{ } (pyrophosphoric acid). p_{ }o_{ } + h_{ }o = hpo_{ } (metaphosphoric acid). phosphorus ~history.~ the element phosphorus was discovered by the alchemist brand, of hamburg, in , while searching for the philosopher's stone. owing to its peculiar properties and the secrecy which was maintained about its preparation, it remained a very rare and costly substance until the demand for it in the manufacture of matches brought about its production on a large scale. ~occurrence.~ owing to its great chemical activity phosphorus never occurs free in nature. in the form of phosphates it is very abundant and widely distributed. _phosphorite_ and _sombrerite_ are mineral forms of calcium phosphate, while _apatite_ consists of calcium phosphate together with calcium fluoride or chloride. these minerals form very large deposits and are extensively mined for use as fertilizers. calcium phosphate is a constituent of all fertile soil, having been supplied to the soil by the disintegration of rocks containing it. it is the chief mineral constituent of bones of animals, and bone ash is therefore nearly pure calcium phosphate. ~preparation.~ phosphorus is now manufactured from bone ash or a pure mineral phosphate by heating the phosphate with sand and carbon in an electric furnace. the materials are fed in at m (fig. ) by the feed screw f. the phosphorus vapor escapes at p and is condensed under water, while the calcium silicate is tapped off as a liquid at s. the phosphorus obtained in this way is quite impure, and is purified by distillation. [illustration: fig. ] ~explanation of the reaction.~ to understand the reaction which occurs, it must be remembered that a volatile acid anhydride is expelled from its salts when heated with an anhydride which is not volatile. thus, when sodium carbonate and silicon dioxide are heated together the following reaction takes place: na_{ }co_{ } + sio_{ } = na_{ }sio_{ } + co_{ }. silicon dioxide is a less volatile anhydride than phosphoric anhydride (p_{ }o_{ }), and when strongly heated with a phosphate the phosphoric anhydride is driven out, thus: ca_{ }(po_{ })_{ } + sio_{ } = casio_{ } + p_{ }o_{ }. if carbon is added before the heat is applied, the p_{ }o_{ } is reduced to phosphorus at the same time, according to the equation p_{ }o_{ } + c = p + co. ~physical properties.~ the purified phosphorus is a pale yellowish, translucent, waxy solid which melts at . ° and boils at °. it can therefore be cast into any convenient form under warm water, and is usually sold in the market in the form of sticks. it is quite soft and can be easily cut with a knife, but this must always be done while the element is covered with water, since it is extremely inflammable, and the friction of the knife blade is almost sure to set it on fire if cut in the air. it is not soluble in water, but is freely soluble in some other liquids, notably in carbon disulphide. its density is . . ~chemical properties.~ exposed to the air phosphorus slowly combines with oxygen, and in so doing emits a pale light, or phosphorescence, which can be seen only in a dark place. the heat of the room may easily raise the temperature to the kindling point of phosphorus, when it burns with a sputtering flame, giving off dense fumes of oxide of phosphorus. it burns with dazzling brilliancy in oxygen, and combines directly with many other elements, especially with sulphur and the halogens. on account of its great affinity for oxygen it is always preserved under water. phosphorus is very poisonous, from . to . gram being a fatal dose. ground up with flour and water or similar substances, it is often used as a poison for rats and other vermin. ~precaution.~ the heat of the body is sufficient to raise phosphorus above its kindling temperature, and for this reason it should always be handled with forceps and never with the bare fingers. burns occasioned by it are very painful and slow in healing. ~red phosphorus.~ on standing, yellow phosphorus gradually undergoes a remarkable change, being converted into a dark red powder which has a density of . . it no longer takes fire easily, neither does it dissolve in carbon disulphide. it is not poisonous and, in fact, seems to be an entirely different substance. the velocity of this change increases with rise in temperature, and the red phosphorus is therefore prepared by heating the yellow just below the boiling point ( °- °). when distilled and quickly condensed the red form changes back to the yellow. this is in accordance with the general rule that when a substance capable of existing in several allotropic forms is condensed from a gas or crystallized from the liquid state, the more unstable variety forms first, and this then passes into the more stable forms. ~matches.~ the chief use of phosphorus is in the manufacture of matches. common matches are made by first dipping the match sticks into some inflammable substance, such as melted paraffin, and afterward into a paste consisting of ( ) phosphorus, ( ) some oxidizing substance, such as manganese dioxide or potassium chlorate, and ( ) a binding material, usually some kind of glue. on friction the phosphorus is ignited, the combustion being sustained by the oxidizing agent and communicated to the wood by the burning paraffin. in sulphur matches the paraffin is replaced by sulphur. in safety matches _red_ phosphorus, an oxidizing agent, and some gritty material such as emery is placed on the side of the box, while the match tip is provided as before with an oxidizing agent and an easily oxidized substance, usually antimony sulphide. the match cannot be ignited easily by friction, save on the prepared surface. ~compounds of phosphorus with hydrogen.~ phosphorus forms several compounds with hydrogen, the best known of which is phosphine (ph_{ }) analogous to ammonia (nh_{ }). ~preparation of phosphine.~ phosphine is usually made by heating phosphorus with a strong solution of potassium hydroxide, the reaction being a complicated one. [illustration: fig. ] the experiment can be conveniently made in the apparatus shown in fig. . a strong solution of potassium hydroxide together with several small bits of phosphorus are placed in the flask a, and a current of coal gas is passed into the flask through the tube b until all the air has been displaced. the gas is then turned off and the flask is heated. phosphine is formed in small quantities and escapes through the delivery tube, the exit of which is just covered by the water in the vessel c. each bubble of the gas as it escapes into the air takes fire, and the product of combustion (p_{ }o_{ }) forms beautiful small rings, which float unbroken for a considerable time in quiet air. the pure phosphine does not take fire spontaneously. when prepared as directed above, impurities are present which impart this property. ~properties.~ phosphine is a gas of unpleasant odor and is exceedingly poisonous. like ammonia it forms salts with the halogen acids. thus we have phosphonium chloride (ph_{ }cl) analogous to ammonium chloride (nh_{ }cl). the phosphonium salts are of but little importance. ~oxides of phosphorus.~ phosphorus forms two well-known oxides,--the trioxide (p_{ }o_{ }) and the pentoxide (p_{ }o_{ }), sometimes called phosphoric anhydride. when phosphorus burns in an insufficient supply of air the product is partially the trioxide; in oxygen or an excess of air the pentoxide is formed. the pentoxide is much the better known of the two. it is a snow-white, voluminous powder whose most marked property is its great attraction for water. it has no chemical action upon most gases, so that they can be very thoroughly dried by allowing them to pass through properly arranged vessels containing phosphorus pentoxide. ~acids of phosphorus.~ the important acids of phosphorus are the following: h_{ }po_{ } phosphorous acid. h_{ }po_{ } phosphoric acid. h_{ }p_{ }o_{ } pyrophosphoric acid. hpo_{ } metaphosphoric acid. these may be regarded as combinations of the oxides of phosphorus with water according to the equations given in the discussion of the characteristics of the family. . _phosphorous acid_ (h_{ }po_{ }). neither the acid nor its salts are at all frequently met with in chemical operations. it can be easily obtained, however, in the form of transparent crystals when phosphorus trichloride is treated with water and the resulting solution is evaporated: pcl_{ } + h_{ }o = h_{ }po_{ } + hcl. its most interesting property is its tendency to take up oxygen and pass over into phosphoric acid. . _orthophosphoric acid (phosphoric acid)_ (h_{ }po_{ }). this acid can be obtained by dissolving phosphorus pentoxide in boiling water, as represented in the equation p_{ }o_{ } + h_{ }o = h_{ }po_{ }. it is usually made by treating calcium phosphate with concentrated sulphuric acid. the calcium sulphate produced in the reaction is nearly insoluble, and can be filtered off, leaving the phosphoric acid in solution. very pure acid is made by oxidizing phosphorus with nitric acid. it forms large colorless crystals which are exceedingly soluble in water. being a tribasic acid, it forms acid as well as normal salts. thus the following compounds of sodium are known: nah_{ }po_{ } monosodium hydrogen phosphate. na_{ }hpo_{ } disodium hydrogen phosphate. na_{ }po_{ } normal sodium phosphate. these salts are sometimes called respectively primary, secondary, and tertiary phosphates. they may be prepared by bringing together phosphoric acid and appropriate quantities of sodium hydroxide. phosphoric acid also forms mixed salts, that is, salts containing two different metals. the most familiar compound of this kind is microcosmic salt, which has the formula na(nh_{ })hpo_{ }. _orthophosphates._ the orthophosphates form an important class of salts. the normal salts are nearly all insoluble and many of them occur in nature. the secondary phosphates are as a rule insoluble, while most of the primary salts are soluble. . _pyrophosphoric acid_ (h_{ }p_{ }o_{ }). on heating orthophosphoric acid to about ° pyrophosphoric acid is formed in accordance with the following equation: h_{ }po_{ } = h_{ }p_{ }o_{ } + h_{ }o. it is a white crystalline solid. its salts can be prepared by heating a secondary phosphate: na_{ }hpo_{ } = na_{ }p_{ }o_{ } + h_{ }o. . _metaphosphoric acid (glacial phosphoric acid)_ (hpo_{ }). this acid is formed when orthophosphoric acid is heated above °: h_{ }po_{ } = hpo_{ } + h_{ }o. it is also formed when phosphorus pentoxide is treated with cold water: p_{ }o_{ } + h_{ }o = hpo_{ }. it is a white crystalline solid, and is so stable towards heat that it can be fused and even volatilized without decomposition. on cooling from the fused state it forms a glassy solid, and on this account is often called glacial phosphoric acid. it possesses the property of dissolving small quantities of metallic oxides, with the formation of compounds which, in the case of certain metals, have characteristic colors. it is therefore used in the detection of these metals. while the secondary phosphates, on heating, give salts of pyrophosphoric acid, the primary phosphates yield salts of metaphosphoric acid. the equations representing these reactions are as follows: na_{ }hpo_{ } = na_{ }p_{ }o_{ } + h_{ }o, nah_{ }po_{ } = napo_{ } + h_{ }o. ~fertilizers.~ when crops are produced year after year on the same field certain constituents of the soil essential to plant growth are removed, and the soil becomes impoverished and unproductive. to make the land once more fertile these constituents must be replaced. the calcium phosphate of the mineral deposits or of bone ash serves well as a material for restoring phosphorus to soils exhausted of that essential element; but a more soluble substance, which the plants can more readily assimilate, is desirable. it is better, therefore, to convert the insoluble calcium phosphate into the soluble primary phosphate before it is applied as fertilizer. it will be seen by reference to the formulas for the orthophosphates (see page ) that in a primary phosphate only one hydrogen atom of phosphoric acid is replaced by a metal. since the calcium atom always replaces two hydrogen atoms, it might be thought that there could be no primary calcium phosphate; but if the calcium atom replaces one hydrogen atom from each of two molecules of phosphoric acid, the salt ca(h_{ }po_{ })_{ } will result, and this is a primary phosphate. it can be made by treatment of the normal phosphate with the necessary amount of sulphuric acid, calcium sulphate being formed at the same time, thus: ca_{ }(po_{ })_{ } + h_{ }so_{ } = ca(h_{ }po_{ })_{ } + caso_{ }. the resulting mixture is a powder, which is sold as a fertilizer under the name of "superphosphate of lime." arsenic ~occurrence.~ arsenic occurs in considerable quantities in nature as the native element, as the sulphides realgar (as_{ }s_{ }) and orpiment (as_{ }s_{ }), as oxide (as_{ }o_{ }), and as a constituent of many metallic sulphides, such as arsenopyrite (feass). ~preparation.~ the element is prepared by purifying the native arsenic, or by heating the arsenopyrite in iron tubes, out of contact with air, when the reaction expressed by the following equation occurs: feass = fes + as. the arsenic, being volatile, condenses in chambers connected with the heated tubes. it is also made from the oxide by reduction with carbon: as_{ }o_{ } + c = as + co_{ }. ~properties.~ arsenic is a steel-gray, metallic-looking substance of density . . though resembling metals in appearance, it is quite brittle, being easily powdered in a mortar. when strongly heated it sublimes, that is, it passes into a vapor without melting, and condenses again to a crystalline solid when the vapor is cooled. like phosphorus it can be obtained in several allotropic forms. it alloys readily with some of the metals, and finds its chief use as an alloy with lead, which is used for making shot, the alloy being harder than pure lead. when heated on charcoal with the blowpipe it is converted into an oxide which volatilizes, leaving the charcoal unstained by any oxide coating. it burns readily in chlorine gas, forming arsenic trichloride,-- as + cl = ascl_{ }. unlike most of its compounds, the element itself is not poisonous. ~arsine~ (ash_{ }). when any compound containing arsenic is brought into the presence of nascent hydrogen, arsine (ash_{ }), corresponding to phosphine and ammonia, is formed. the reaction when oxide of arsenic is so treated is as_{ }o_{ } + h = ash_{ } + h_{ }o. arsine is a gas with a peculiar garlic-like odor, and is intensely poisonous. a single bubble of pure gas has been known to prove fatal. it is an unstable compound, decomposing into its elements when heated to a moderate temperature. it is combustible, burning with a pale bluish-white flame to form arsenic trioxide and water when air is in excess: ash_{ } + o = as_{ }o_{ } + h_{ }o. when the supply of air is deficient water and metallic arsenic are formed: ash_{ } + o = h_{ }o + as. these reactions make the detection of even minute quantities of arsenic a very easy problem. [illustration: fig. ] ~marsh's test for arsenic.~ the method devised by marsh for detecting arsenic is most frequently used, the apparatus being shown in fig. . hydrogen is generated in the flask a by the action of dilute sulphuric acid on zinc, is dried by passing over calcium chloride in the tube b, and after passing through the hard-glass tube c is ignited at the jet d. if a substance containing arsenic is now introduced into the generator a, the arsenic is converted into arsine by the action of the nascent hydrogen, and passes to the jet along with the hydrogen. if the tube c is strongly heated at some point near the middle, the arsine is decomposed while passing this point and the arsenic is deposited just beyond the heated point in the form of a shining, brownish-black mirror. if the tube is not heated, the arsine burns along with the hydrogen at the jet. under these conditions a small porcelain dish crowded down into the flame is blackened by a spot of metallic arsenic, for the arsine is decomposed by the heat of the flame, and the arsenic, cooled below its kindling temperature by the cold porcelain, deposits upon it as a black spot. antimony conducts itself in the same way as arsenic, but the antimony deposit is more sooty in appearance. the two can also be distinguished by the fact that sodium hypochlorite (naclo) dissolves the arsenic deposit, but not that formed by antimony. ~oxides of arsenic.~ arsenic forms two oxides, as_{ }o_{ } and as_{ }o_{ }, corresponding to those of phosphorus. of these arsenious oxide, or arsenic trioxide (as_{ }o_{ }), is much better known, and is the substance usually called white arsenic, or merely arsenic. it is found as a mineral, but is usually obtained as a by-product in burning pyrite in the sulphuric-acid industry. the pyrite has a small amount of arsenopyrite in it, and when this is burned arsenious oxide is formed as a vapor together with sulphur dioxide: feass + o = fe_{ }o_{ } + as_{ }o_{ } + so_{ }. the arsenious oxide is condensed in appropriate chambers. it is a rather heavy substance, obtained either as a crystalline powder or as large, vitreous lumps, resembling lumps of porcelain in appearance. it is very poisonous, from . to . g. being a fatal dose. it is frequently given as a poison, since it is nearly tasteless and does not act very rapidly. this slow action is due to the fact that it is not very soluble, and hence is absorbed slowly by the system. arsenious oxide is also used as a chemical reagent in glass making and in the dye industry. ~acids of arsenic.~ like the corresponding oxides of phosphorus, the oxides of arsenic are acid anhydrides. in solution they combine with bases to form salts, corresponding to the salts of the acids of phosphorus. thus we have salts of the following acids: h_{ }aso_{ } arsenious acid. h_{ }aso_{ } orthoarsenic acid. h_{ }as_{ }o_{ } pyroarsenic acid. haso_{ } metarsenic acid. several other acids of arsenic are also known. not all of these can be obtained as free acids, since they tend to lose water and form the oxides. thus, instead of obtaining arsenious acid (h_{ }aso_{ }), the oxide as_{ }o_{ } is obtained: h_{ }aso_{ } = as_{ }o_{ } + h_{ }o. salts of all the acids are known, however, and some of them have commercial value. most of them are insoluble, and some of the copper salts, which are green, are used as pigments. paris green, which has a complicated formula, is a well-known insecticide. ~antidote for arsenical poisoning.~ the most efficient antidote for arsenic poisoning is ferric hydroxide. it is prepared as needed, according to the equation fe_{ }(so_{ })_{ } + mg(oh)_{ } = fe(oh)_{ } + mgso_{ }. ~sulphides of arsenic.~ when hydrogen sulphide is passed into an acidified solution containing an arsenic compound the arsenic is precipitated as a bright yellow sulphide, thus: h_{ }aso_{ } + h_{ }s = as_{ }s_{ } + h_{ }o, h_{ }aso_{ } + h_{ }s = as_{ }s_{ } + h_{ }o. in this respect arsenic resembles the metallic elements, many of which produce sulphides under similar conditions. the sulphides of arsenic, both those produced artificially and those found in nature, are used as yellow pigments. antimony ~occurrence.~ antimony occurs in nature chiefly as the sulphide (sb_{ }s_{ }), called stibnite, though it is also found as oxide and as a constituent of many complex minerals. ~preparation.~ antimony is prepared from the sulphide in a very simple manner. the sulphide is melted with scrap iron in a furnace, when the iron combines with the sulphur to form a slag, or liquid layer of melted iron sulphide, while the heavier liquid, antimony, settles to the bottom and is drawn off from time to time. the reaction involved is represented by the equation sb_{ }s_{ } + fe = sb + fes. ~physical properties.~ antimony is a bluish-white, metallic-looking substance whose density is . . it is highly crystalline, hard, and very brittle. it has a rather low melting point ( °) and expands very noticeably on solidifying. ~chemical properties.~ in chemical properties antimony resembles arsenic in many particulars. it forms the oxides sb_{ }o_{ } and sb_{ }o_{ }, and in addition sb_{ }o_{ }. it combines with the halogen elements with great energy, burning brilliantly in chlorine to form antimony trichloride (sbcl_{ }). when heated on charcoal with the blowpipe it is oxidized and forms a coating of antimony oxide on the charcoal which has a characteristic bluish-white color. ~stibine~ (sbh_{ }). the gas stibine (sbh_{ }) is formed under conditions which are very similar to those which produce arsine, and it closely resembles the latter compound, though it is still less stable. it is very poisonous. ~acids of antimony.~ the oxides sb_{ }o_{ } and sb_{ }o_{ } are weak acid anhydrides and are capable of forming two series of acids corresponding in formulas to the acids of phosphorus and arsenic. they are much weaker, however, and are of little practical importance. ~sulphides of antimony.~ antimony resembles arsenic in that hydrogen sulphide precipitates it as a sulphide when conducted into an acidified solution containing an antimony compound: sbcl_{ } + h_{ }s = sb_{ }s_{ } + hcl, sbcl_{ } + h_{ }s = sb_{ }s_{ } + hcl. the two sulphides of antimony are called the trisulphide and the pentasulphide respectively. when prepared in this way they are orange-colored substances, though the mineral stibnite is black. ~metallic properties of antimony.~ the physical properties of the element are those of a metal, and the fact that its sulphide is precipitated by hydrogen sulphide shows that it acts like a metal in a chemical way. many other reactions show that antimony has more of the properties of a metal than of a non-metal. the compound sb(oh)_{ }, corresponding to arsenious acid, while able to act as a weak acid is also able to act as a weak base with strong acids. for example, when treated with concentrated hydrochloric acid antimony chloride is formed: sb(oh)_{ } + hcl = sbcl_{ } + h_{ }o. a number of elements act in this same way, their hydroxides under some conditions being weak acids and under others weak bases. alloys some metals when melted together thoroughly intermix, and on cooling form a homogeneous, metallic-appearing substance called an _alloy_. not all metals will mix in this way, and in some cases definite chemical compounds are formed and separate out as the mixture solidifies, thus destroying the uniform quality of the alloy. in general the melting point of the alloy is below the average of the melting points of its constituents, and it is often lower than any one of them. antimony forms alloys with many of the metals, and its chief commercial use is for such purposes. it imparts to its alloys high density, rather low melting point, and the property of expanding on solidification. such an alloy is especially useful in type founding, where fine lines are to be reproduced on a cast. type metal consists of antimony, lead, and tin. babbitt metal, used for journal bearings in machinery, contains the same metals in a different proportion together with a small percentage of copper. bismuth ~occurrence.~ bismuth is usually found in the uncombined form in nature. it also occurs as oxide and sulphide. most of the bismuth of commerce comes from saxony, and from mexico and colorado, but it is not an abundant element. ~preparation.~ it is prepared by merely heating the ore containing the native bismuth and allowing the melted metal to run out into suitable vessels. other ores are converted into oxides and reduced by heating with carbon. ~physical properties.~ bismuth is a heavy, crystalline, brittle metal nearly the color of silver, but with a slightly rosy tint which distinguishes it from other metals. it melts at a low temperature ( °) and has a density of . . it is not acted upon by the air at ordinary temperatures. ~chemical properties.~ when heated with the blowpipe on charcoal, bismuth gives a coating of the oxide bi_{ }o_{ }. this has a yellowish-brown color which easily distinguishes it from the oxides formed by other metals. it combines very readily with the halogen elements, powdered bismuth burning readily in chlorine. it is not very easily acted upon by hydrochloric acid, but nitric and sulphuric acids act upon it in the same way that they do upon copper. ~uses.~ bismuth finds its chief use as a constituent of alloys, particularly in those of low melting point. some of these melt in hot water. for example, wood's metal, consisting of bismuth, lead, tin, and cadmium, melts at . °. ~compounds of bismuth.~ unlike the other elements of this group, bismuth has almost no acid properties. its chief oxide, bi_{ }o_{ }, is basic in its properties. it dissolves in strong acids and forms salts of bismuth: bi_{ }o_{ } + hcl = bicl_{ } + h_{ }o, bi_{ }o_{ } + hno_{ } = bi(no_{ })_{ } + h_{ }o. the nitrate and chloride of bismuth can be obtained as well-formed colorless crystals. when treated with water the salts are decomposed in the manner explained in the following paragraph. hydrolysis many salts such as those of antimony and bismuth form solutions which are somewhat acid in reaction, and must therefore contain hydrogen ions. this is accounted for by the same principle suggested to explain the fact that solutions of potassium cyanide are alkaline in reaction (p. ). water forms an appreciable number of hydrogen and hydroxyl ions, and very weak bases such as bismuth hydroxide are dissociated to but a very slight extent. when bi^{+++} ions from bismuth chloride, which dissociates very readily, are brought in contact with the oh^{-} ions from water, the two come to the equilibrium expressed in the equation bi^{+++} + oh^{-} <--> bi(oh)_{ }. for every hydroxyl ion removed from the solution in this way a hydrogen ion is left free, and the solution becomes acid in reaction. reactions of this kind and that described under potassium cyanide are called _hydrolysis_. definition: _hydrolysis is the action of water upon a salt to form an acid and a base, one of which is very slightly dissociated._ ~conditions favoring hydrolysis.~ while hydrolysis is primarily due to the slight extent to which either the acid or the base formed is dissociated, several other factors have an influence upon the extent to which it will take place. . _influence of mass._ since hydrolysis is a reversible reaction, the relative masses of the reacting substances influence the point at which equilibrium will be reached. in the equilibrium bicl_{ } + h_{ }o <--> bi(oh)_{ } + hcl the addition of more water will result in the formation of more bismuth hydroxide and hydrochloric acid. the addition of more hydrochloric acid will convert some of the bismuth hydroxide into bismuth chloride. . _formation of insoluble substances._ when one of the products of hydrolysis is nearly insoluble in water the solution will become saturated with it as soon as a very little has been formed. all in excess of this will precipitate, and the reaction will go on until the acid set free increases sufficiently to bring about an equilibrium. thus a considerable amount of bismuth and antimony hydroxides are precipitated when water is added to the chlorides of these elements. the greater the dilution the more hydroxide precipitates. the addition of hydrochloric acid in considerable quantity will, however, redissolve the precipitate. ~partial hydrolysis.~ in many cases the hydrolysis of a salt is only partial, resulting in the formation of basic salts instead of the free base. most of these basic salts are insoluble in water, which accounts for their ready formation. thus bismuth chloride may hydrolyze by successive steps, as shown in the equations bicl_{ } + h_{ }o = bi(oh)cl_{ } + hcl, bicl_{ } + h_{ }o = bi(oh)_{ }cl + hcl, bicl_{ } + h_{ }o = bi(oh)_{ } + hcl. the basic salt so formed may also lose water, as shown in the equation bi(oh)_{ }cl = biocl + h_{ }o. the salt represented in the last equation is sometimes called bismuth oxychloride, or bismuthyl chloride. the corresponding nitrate, biono_{ }, is largely used in medicine under the name of subnitrate of bismuth. in these two compounds the group of atoms, bio, acts as a univalent metallic radical and is called _bismuthyl_. similar basic salts are formed by the hydrolysis of antimony salts. exercises . name all the elements so far studied which possess allotropic forms. . what compounds would you expect phosphorus to form with bromine and iodine? write the equations showing the action of water on these compounds. . in the preparation of phosphine, why is coal gas passed into the flask? what other gases would serve the same purpose? . give the formula for the salt which phosphine forms with hydriodic acid. give the name of the compound. . could phosphoric acid be substituted for sulphuric acid in the preparation of the common acids? . write the equations for the preparation of the three sodium salts of orthophosphoric acid. . why does a solution of disodium hydrogen phosphate react alkaline? . on the supposition that bone ash is pure calcium phosphate, what weight of it would be required in the preparation of kg. of phosphorus? . if arsenopyrite is heated in a current of air, what products are formed? . (a) write equations for the complete combustion of hydrosulphuric acid, methane, and arsine. (b) in what respects are the reactions similar? . write the equations for all the reactions involved in marsh's test for arsenic. . write the names and formulas for the acids of antimony. . write the equations showing the hydrolysis of antimony trichloride; of bismuth nitrate. . in what respects does nitrogen resemble the members of the phosphorus family? chapter xxi silicon, titanium, boron ================================================================= | | | | | | symbol | atomic | density | chlorides | oxides | | weight | | | ____________|________|________|_________|___________|____________ | | | | | silicon | si | . | . | sicl_{ } | sio_{ } titanium | ti | . | . | ticl_{ } | tio_{ } boron | b | . | . | bcl_{ } | b_{ }o_{ } ================================================================= ~general.~ each of the three elements, silicon, titanium, and boron, belongs to a separate periodic family, but they occur near together in the periodic grouping and are very similar in both physical and chemical properties. since the other elements in their families are either so rare that they cannot be studied in detail, or are best understood in connection with other elements, it is convenient to consider these three together at this point. the three elements are very difficult to obtain in the free state, owing to their strong attraction for other elements. they can be prepared by the action of aluminium or magnesium on their oxides and in impure state by reduction with carbon in an electric furnace. they are very hard and melt only at the highest temperatures. at ordinary temperatures they are not attacked by oxygen, but when strongly heated they burn with great brilliancy. silicon and boron are not attacked by acids under ordinary conditions; titanium is easily dissolved by them. silicon ~occurrence.~ next to oxygen silicon is the most abundant element. it does not occur free in nature, but its compounds are very abundant and of the greatest importance. it occurs almost entirely in combination with oxygen as silicon dioxide (sio_{ }), often called silica, or with oxygen and various metals in the form of salts of silicic acids, or silicates. these compounds form a large fraction of the earth's crust. most plants absorb small amounts of silica from the soil, and it is also found in minute quantities in animal organisms. ~preparation.~ the element is most easily prepared by reducing pure powdered quartz with magnesium powder: sio_{ } + mg = mgo + si. ~properties.~ as would be expected from its place in the periodic table, silicon resembles carbon in many respects. it can be obtained in several allotropic forms, corresponding to those of carbon. the crystallized form is very hard, and is inactive toward reagents. the amorphous variety has, in general, properties more similar to charcoal. ~compounds of silicon with hydrogen and the halogens.~ silicon hydride (sih_{ }) corresponds in formula to methane (ch_{ }), but its properties are more like those of phosphine (ph_{ }). it is a very inflammable gas of disagreeable odor, and, as ordinarily prepared, takes fire spontaneously on account of the presence of impurities. silicon combines with the elements of the chlorine family to form such compounds as sicl_{ } and sif_{ }. of these silicon fluoride is the most familiar and interesting. as stated in the discussion of fluorine, it is formed when hydrofluoric acid acts upon silicon dioxide or a silicate. with silica the reaction is thus expressed: sio_{ } + hf = sif_{ } + h_{ }o. it is a very volatile, invisible, poisonous gas. in contact with water it is partially decomposed, as shown in the equation sif_{ } + h_{ }o = hf + si(oh)_{ }. the hydrofluoric acid so formed combines with an additional amount of silicon fluoride, forming the complex fluosilicic acid (h_{ }sif_{ }), thus: hf + sif_{ } = h_{ }sif_{ }. ~silicides.~ as the name indicates, silicides are binary compounds consisting of silicon and some other element. they are very stable at high temperatures, and are usually made by heating the appropriate substances in an electric furnace. the most important one is _carborundum_, which is a silicide of carbon of the formula csi. it is made by heating coke and sand, which is a form of silicon dioxide, in an electric furnace, the process being extensively carried on at niagara falls. the following equation represents the reaction sio_{ } + c = csi + co. the substance so prepared consists of beautiful purplish-black crystals, which are very hard. carborundum is used as an abrasive, that is, as a material for grinding and polishing very hard substances. ferrosilicon is a silicide of iron alloyed with an excess of iron, which finds extensive use in the manufacture of certain kinds of steel. ~manufacture of carborundum.~ the mixture of materials is heated in a large resistance furnace for about thirty-six hours. after the reaction is completed there is left a core of graphite g. surrounding this core is a layer of crystallized carborundum c, about in. thick. outside this is a shell of amorphous carborundum a. the remaining materials m are unchanged and are used for a new charge. [illustration: fig. ] ~silicon dioxide~ (_silica_) (sio_{ }). this substance is found in a great variety of forms in nature, both in the amorphous and in the crystalline condition. in the form of quartz it is found in beautifully formed six-sided prisms, sometimes of great size. when pure it is perfectly transparent and colorless. some colored varieties are given special names, as amethyst (violet), rose quartz (pale pink), smoky or milky quartz (colored and opaque). other varieties of silicon dioxide, some of which also contain water, are chalcedony, onyx, jasper, opal, agate, and flint. sand and sandstone are largely silicon dioxide. ~properties.~ as obtained by chemical processes silicon dioxide is an amorphous white powder. in the crystallized state it is very hard and has a density of . . it is insoluble in water and in most chemical reagents, and requires the hottest oxyhydrogen flame for fusion. acids, excepting hydrofluoric acid, have little action on it, and it requires the most energetic reducing agents to deprive it of oxygen. it is the anhydride of an acid, and consequently it dissolves in fused alkalis to form silicates. being nonvolatile, it will drive out most other anhydrides when heated to a high temperature with their salts, especially when the silicates so formed are fusible. the following equations illustrate this property: na_{ }co_{ } + sio_{ } = na_{ }sio_{ } + co_{ }, na_{ }so_{ } + sio_{ } = na_{ }sio_{ } + so_{ }. ~silicic acids.~ silicon forms two simple acids, orthosilicic acid (h_{ }sio_{ }) and metasilicic acid (h_{ }sio_{ }). orthosilicic acid is formed as a jelly-like mass when orthosilicates are treated with strong acids such as hydrochloric. on attempting to dry this acid it loses water, passing into metasilicic or common silicic acid: h_{ }sio_{ } = h_{ }sio_{ } + h_{ }o. metasilicic acid when heated breaks up into silica and water, thus: h_{ }sio_{ } = h_{ }o + sio_{ }. ~salts of silicic acids,--silicates.~ a number of salts of the orthosilicic and metasilicic acids occur in nature. thus mica (kalsio_{ }) is a salt of orthosilicic acid. ~polysilicic acids.~ silicon has the power to form a great many complex acids which may be regarded as derived from the union of several molecules of the orthosilicic acid, with the loss of water. thus we have h_{ }sio_{ } = h_{ }si_{ }o_{ } + h_{ }o. these acids cannot be prepared in the pure state, but their salts form many of the crystalline rocks in nature. feldspar, for example, has the formula kalsi_{ }o_{ }, and is a mixed salt of the acid h_{ }si_{ }o_{ }, whose formation is represented in the equation above. kaolin has the formula al_{ }si_{ }o_{ }· h_{ }o. many other examples will be met in the study of the metals. ~glass.~ when sodium and calcium silicates, together with silicon dioxide, are heated to a very high temperature, the mixture slowly fuses to a transparent liquid, which on cooling passes into the solid called glass. instead of starting with sodium and calcium silicates it is more convenient and economical to heat sodium carbonate (or sulphate) and lime with an excess of clean sand, the silicates being formed during the heating: na_{ }co_{ } + sio_{ } = na_{ }sio_{ } + co_{ }, cao + sio_{ } = casio_{ }. [illustration: fig. ] the mixture is heated below the fusing point for some time, so that the escaping carbon dioxide may not spatter the hot liquid; the heat is then increased and the mixture kept in a state of fusion until all gases formed in the reaction have escaped. _molding and blowing of glass._ the way in which the melted mixture is handled in the glass factory depends upon the character of the article to be made. many articles, such as bottles, are made by blowing the plastic glass into hollow molds of the desired shape. the mold is first opened, as shown in fig. . a lump of plastic glass a on the hollow rod b is lowered into the mold, which is then closed by the handles c. by blowing into the tube the glass is blown into the shape of the mold. the mold is then opened and the bottle lifted out. the neck of the bottle must be cut off at the proper place and the sharp edges rounded off in a flame. other objects, such as lamp chimneys, are made by getting a lump of plastic glass on the end of a hollow iron rod and blowing it into the desired shape without the help of a mold, great skill being required in the manipulation of the glass. window glass is made by blowing large hollow cylinders about ft. long and - / ft. in diameter. these are cut longitudinally, and are then placed in an oven and heated until they soften, when they are flattened out into plates (fig. ). plate glass is cast into flat slabs, which are then ground and polished to perfectly plane surfaces. _varieties of glass._ the ingredients mentioned above make a soft, easily fusible glass. if potassium carbonate is substituted for the sodium carbonate, the glass is much harder and less easily fused; increasing the amount of sand has somewhat the same effect. potassium glass is largely used in making chemical glassware, since it resists the action of reagents better than the softer sodium glass. if lead oxide is substituted for the whole or a part of the lime, the glass is very soft, but has a high index of refraction and is valuable for making optical instruments and artificial jewels. [illustration: fig. ] _coloring of glass._ various substances fused along with the glass mixture give characteristic colors. the amber color of common bottles is due to iron compounds in the glass; in other cases iron colors the glass green. cobalt compounds color it deep blue; those of manganese give it an amethyst tint and uranium compounds impart a peculiar yellowish green color. since iron is nearly always present in the ingredients, glass is usually slightly yellow. this color can be removed by adding the proper amount of manganese dioxide, for the amethyst color of manganese and the yellow of iron together produce white light. _nature of glass._ glass is not a definite chemical compound and its composition varies between wide limits. fused glass is really a solution of various silicates, such as those of calcium and lead, in fused sodium or potassium silicate. a certain amount of silicon dioxide is also present. this solution is then allowed to solidify under such conditions of cooling that the dissolved substances do not separate from the solvent. the compounds which are used to color the glass are sometimes converted into silicates, which then dissolve in the glass, giving it a uniform color. in other cases, as in the milky glasses which resemble porcelain in appearance, the color or opaqueness is due to the finely divided color material evenly distributed throughout the glass, but not dissolved in it. milky glass is made by mixing calcium fluoride, tin oxide, or some other insoluble substance in the melted glass. copper or gold in metallic form scattered through glass gives it shades of red. titanium titanium is a very widely distributed element in nature, being found in almost all soils, in many rocks, and even in plant and animal tissues. it is not very abundant in any one locality, and it possesses little commercial value save in connection with the iron industry. its most common ore is rutile (tio_{ }), which resembles silica in many respects. in both physical and chemical properties titanium resembles silicon, though it is somewhat more metallic in character. this resemblance is most marked in the acids of titanium. it not only forms metatitanic and orthotitanic acids but a great variety of polytitanic acids as well. boron ~occurrence.~ boron is never found free in nature. it occurs as boric acid (h_{ }bo_{ }), and in salts of polyboric acids, which usually have very complicated formulas. ~preparation and properties.~ boron can be prepared from its oxide by reduction with magnesium, exactly as in the case of silicon. it resembles silicon very strikingly in its properties. it occurs in several allotropic forms, is very hard when crystallized, and is rather inactive toward reagents. it forms a hydride, bh_{ }, and combines directly with the elements of the chlorine family. boron fluoride (bf_{ }) is very similar to silicon fluoride in its mode of formation and chemical properties. ~boric oxide~ (b_{ }o_{ }). boron forms one well-known oxide, b_{ }o_{ }, called boric anhydride. it is formed as a glassy mass by heating boric acid to a high temperature. it absorbs water very readily, uniting with it to form boric acid again: b_{ }o_{ } + h_{ }o = h_{ }bo_{ }. in this respect it differs from silicon dioxide, which will not combine directly with water. ~boric acid~ (h_{ }bo_{ }). this is found in nature in considerable quantities and forms one of the chief sources of boron compounds. it is found dissolved in the water of hot springs in some localities, particularly in italy. being volatile with steam, the vapor which escapes from these springs has some boric acid in it. it is easily obtained from these sources by condensation and evaporation, the necessary heat being supplied by other hot springs. boric acid crystallizes in pearly flakes, which are greasy to the touch. in the laboratory it is easily prepared by treating a strong, hot solution of borax with sulphuric acid. boric acid being sparingly soluble in water crystallizes out on cooling: na_{ }b_{ }o_{ } + h_{ }o + h_{ }so_{ } = na_{ }so_{ } + h_{ }bo_{ }. the substance is a mild antiseptic, and on this account is often used in medicine and as a preservative for canned foods and milk. ~metaboric and polyboric acids.~ when boric acid is gently heated it is converted into metaboric acid (hbo_{ }): h_{ }bo_{ } = hbo_{ } + h_{ }o. on heating metaboric acid to a somewhat higher temperature tetraboric acid (h_{ }b_{ }o_{ }) is formed: hbo_{ } = h_{ }b_{ }o_{ } + h_{ }o. many other complex acids of boron are known. ~borax.~ borax is the sodium salt of tetraboric acid, having the formula na_{ }b_{ }o_{ }· h_{ }o. it is found in some arid countries, as southern california and tibet, but is now made commercially from the mineral colemanite, which is the calcium salt of a complex boric acid. when this is treated with a solution of sodium carbonate, calcium carbonate is precipitated and borax crystallizes from the solution. when heated borax at first swells up greatly, owing to the expulsion of the water of crystallization, and then melts to a clear glass. this glass has the property of easily dissolving many metallic oxides, and on this account borax is used as a flux in soldering, for the purpose of removing from the metallic surfaces to be soldered the film of oxide with which they are likely to be covered. these oxides often give a characteristic color to the clear borax glass, and borax beads are therefore often used in testing for the presence of metals, instead of the metaphosphoric acid bead already described. the reason that metallic oxides dissolve in borax is that borax contains an excess of acid anhydride, as can be more easily seen if its formula is written nabo_{ } + b_{ }o_{ }. the metallic oxide combines with this excess of acid anhydride, forming a mixed salt of metaboric acid. borax is extensively used as a constituent of enamels and glazes for both metal ware and pottery. it is also used as a flux in soldering and brazing, and in domestic ways it serves as a mild alkali, as a preservative for meats, and in a great variety of less important applications. exercises . account for the fact that a solution of borax in water is alkaline. . what weight of water of crystallization does kg. of borax contain? . when a concentrated solution of borax acts on silver nitrate a borate of silver is formed. if the solution of borax is dilute, however, an hydroxide of silver forms. account for this difference in behavior. chapter xxii the metals ~the metals.~ the elements which remain to be considered are known collectively as the metals. they are also called the base-forming elements, since their hydroxides are bases. a metal may therefore be defined as an element whose hydroxide is a base. when a base dissolves in water the hydroxyl groups form the anions, while the metallic element forms the cations. from this standpoint a metal can be defined as an element capable of forming simple cations in solution. the distinction between a metal and a non-metal is not a very sharp one, since the hydroxides of a number of elements act as bases under some conditions and as acids under others. we have seen that antimony is an element of this kind. ~occurrence of metals in nature.~ a few of the metals are found in nature in the free state. among these are gold, platinum, and frequently copper. they are usually found combined with other elements in the form of oxides or salts of various acids. silicates, carbonates, sulphides, and sulphates are the most abundant salts. all inorganic substances occurring in nature, whether they contain a metal or not, are called _minerals_. those minerals from which a useful substance can be extracted are called _ores_ of the substance. these two terms are most frequently used in connection with the metals. ~extraction of metals,--metallurgy.~ the process of extracting a metal from its ores is called the metallurgy of the metal. the metallurgy of each metal presents peculiarities of its own, but there are several methods of general application which are very frequently employed. . _reduction of an oxide with carbon._ many of the metals occur in nature in the form of oxides. when these oxides are heated to a high temperature with carbon the oxygen combines with it and the metal is set free. iron, for example, occurs largely in the form of the oxide fe_{ }o_{ }. when this is heated with carbon the reaction expressed in the following equation takes place: fe_{ }o_{ } + c = fe + co. many ores other than oxides may be changed into oxides which can then be reduced by carbon. the conversion of such ores into oxides is generally accomplished by heating, and this process is called _roasting_. many carbonates and hydroxides decompose directly into the oxide on heating. sulphides, on the other hand, must be heated in a current of air, the oxygen of the air entering into the reaction. the following equations will serve to illustrate these changes in the case of the ores of iron: feco_{ } = feo + co_{ }, fe(oh)_{ } = fe_{ }o_{ } + h_{ }o, fes_{ } + o = fe_{ }o_{ } + so_{ }. . _reduction of an oxide with aluminium._ not all oxides, however, can be reduced by carbon. in such cases aluminium may be used. thus chromium may be obtained in accordance with the following equation: cr_{ }o_{ } + al = cr + al_{ }o_{ }. this method is a comparatively new one, having been brought into use by the german chemist goldschmidt; hence it is sometimes called the goldschmidt method. . _electrolysis._ in recent years increasing use is being made of the electric current in the preparation of metals. in some cases the separation of the metal from its compounds is accomplished by passing the current through a solution of a suitable salt of the metal, the metal usually being deposited upon the cathode. in other cases the current is passed through a fused salt of the metal, the chloride being best adapted to this purpose. ~electro-chemical industries.~ most of the electro-chemical industries of the country are carried on where water power is abundant, since this furnishes the cheapest means for the generation of electrical energy. niagara falls is the most important locality in this country for such industries, and many different electro-chemical products are manufactured there. some industries depend upon electrolytic processes, while in others the electrical energy is used merely as a source of heat in electric furnaces. ~preparation of compounds of the metals.~ since the compounds of the metals are so numerous and varied in character, there are many ways of preparing them. in many cases the properties of the substance to be prepared, or the material available for its preparation, suggest a rather unusual way. there are, however, a number of general principles which are constantly applied in the preparation of the compounds of the metals, and a clear understanding of them will save much time and effort in remembering the details in any given case. the most important of these general methods for the preparation of compounds are the following: . _by direct union of two elements._ this is usually accomplished by heating the two elements together. thus the sulphides, chlorides, and oxides of a metal can generally be obtained in this way. the following equations serve as examples of this method: fe + s = fes, mg + o = mgo, cu + cl = cucl_{ }. . _by the decomposition of a compound._ this decomposition may be brought about either by heat alone or by the combined action of heat and a reducing agent. thus when the nitrate of a metal is heated the oxide of the metal is usually obtained. copper nitrate, for example, decomposes as follows: cu(no_{ })_{ } = cuo + no_{ } + o. similarly the carbonates of the metals yield oxides, thus: caco_{ } = cao + co_{ }. most of the hydroxides form an oxide and water when heated: al(oh)_{ } = al_{ }o_{ } + h_{ }o. when heated with carbon, sulphates are reduced to sulphides, thus: baso_{ } + c = bas + co_{ }. . _methods based on equilibrium in solution._ in the preparation of compounds the first requisite is that the reactions chosen shall be of such a kind as will go on to completion. in the chapter on chemical equilibrium it was shown that reactions in solution may become complete in either of three ways: ( ) a gas may be formed which escapes from solution; ( ) an insoluble solid may be formed which precipitates; ( ) two different ions may combine to form undissociated molecules. by the judicious selection of materials these principles may be applied to the preparation of a great variety of compounds, and illustrations of such methods will very frequently be found in the subsequent pages. . _by fusion methods._ it sometimes happens that substances which are insoluble in water and in acids, and which cannot therefore be brought into double decomposition in the usual way, are soluble in other liquids, and when dissolved in them can be decomposed and converted into other desired compounds. thus barium sulphate is not soluble in water, and sulphuric acid, being less volatile than most other acids, cannot easily be driven out from this salt when brought into contact with melted sodium carbonate, however, it dissolves in it, and since barium carbonate is insoluble in melted sodium carbonate, double decomposition takes place: na_{ }co_{ } + baso_{ } = baco_{ } + na_{ }so_{ }. on dissolving the cooled mixture in water the sodium sulphate formed in the reaction, together with any excess of sodium carbonate which may be present, dissolves. the barium carbonate can then be filtered off and converted into any desired salt by the processes already described. . _by the action of metals on salts of other metals._ when a strip of zinc is placed in a solution of a copper salt the copper is precipitated and an equivalent quantity of zinc passes into solution: zn + cuso_{ } = cu + znso_{ }. in like manner copper will precipitate silver from its salts: cu + ag_{ }so_{ } = ag + cuso_{ }. it is possible to tabulate the metals in such a way that any one of them in the table will precipitate any one following it from its salts. the following is a list of some of the commoner metals arranged in this way: zinc iron tin lead copper bismuth mercury silver gold according to this table copper will precipitate bismuth, mercury, silver, or gold from their salts, and will in turn be precipitated by zinc, iron, tin, or lead. advantage is taken of this principle in the purification of some of the metals, and occasionally in the preparation of metals and their compounds. ~important insoluble compounds.~ since precipitates play so important a part in the reactions which substances undergo, as well as in the preparation of many chemical compounds, it is important to know what substances are insoluble. knowing this, we can in many cases predict reactions under certain conditions, and are assisted in devising ways to prepare desired compounds. while there is no general rule which will enable one to foretell the solubility of any given compound, nevertheless a few general statements can be made which will be of much assistance. . _hydroxides._ all hydroxides are insoluble save those of ammonium, sodium, potassium, calcium, barium, and strontium. . _nitrates._ all nitrates are soluble in water. . _chlorides._ all chlorides are soluble save silver and mercurous chlorides. (lead chloride is but slightly soluble.) . _sulphates._ all sulphates are soluble save those of barium, strontium, and lead. (sulphates of silver and calcium are only moderately soluble.) . _sulphides._ all sulphides are insoluble save those of ammonium, sodium, and potassium. the sulphides of calcium, barium, strontium, and magnesium are insoluble in water, but are changed by hydrolysis into acid sulphides which are soluble. on this account they cannot be prepared by precipitation. . _carbonates, phosphates, and silicates._ all normal carbonates, phosphates, and silicates are insoluble save those of ammonium, sodium and potassium. exercises . write equations representing four different ways for preparing cu(no_{ })_{ }. . write equations representing six different ways for preparing znso_{ }. . write equations for two reactions to illustrate each of the three ways in which reactions in solutions may become complete. . give one or more methods for preparing each of the following compounds: cacl_{ }, pbcl_{ }, baso_{ }, caco_{ }, (nh_{ })_{ }s, ag_{ }s, pbo, cu(oh)_{ } (for solubilities, see last paragraph of chapter). state in each case the general principle involved in the method of preparation chosen. chapter xxiii the alkali metals ================================================================= | | | | | | symbol | atomic | density | melting | first prepared | | weight | | point | __________|________|________|_________|_________|________________ | | | | | lithium | li | . | . | .° | davy sodium | na | . | . | . ° | " potassium | k | . | . | . ° | " rubidium | rb | . | . | . ° | bunsen cæsium | cs | . | . | . ° | " ================================================================= ~the family.~ the metals listed in the above table constitute the even family in group i in the periodic arrangement of the elements, and therefore form a natural family. the name alkali metals is commonly applied to the family for the reason that the hydroxides of the most familiar members of the family, namely sodium and potassium, have long been called alkalis. . _occurrence._ while none of these metals occur free in nature, their compounds are very widely distributed, being especially abundant in sea and mineral waters, in salt beds, and in many rocks. only sodium and potassium occur in abundance, the others being rarely found in any considerable quantity. . _preparation._ the metals are most conveniently prepared by the electrolysis of their fused hydroxides or chlorides, though it is possible to prepare them by reducing their oxides or carbonates with carbon. . _properties._ they are soft, light metals, having low melting points and small densities, as is indicated in the table. their melting points vary inversely with their atomic weights, while their densities (sodium excepted) vary directly with these. the pure metals have a silvery luster but tarnish at once when exposed to the air, owing to the formation of a film of oxide upon the surface of the metal. they are therefore preserved in some liquid, such as coal oil, which contains no oxygen. because of their strong affinity for oxygen they decompose water with great ease, forming hydroxides and liberating hydrogen in accordance with the equation m + h_{ }o = moh + h, where m stands for any one of these metals. these hydroxides are white solids; they are readily soluble in water and possess very strong basic properties. these bases are nearly equal in strength, that is, they all dissociate in water to about the same extent. . _compounds._ the alkali metals almost always act as univalent elements in the formation of compounds, the composition of which can be represented by such formulas as mh, mcl, mno_{ }, m_{ }so_{ }, m_{ }po_{ }. these compounds, when dissolved in water, dissociate in such a way as to form simple, univalent metallic ions which are colorless. with the exception of lithium these metals form very few insoluble compounds, so that it is not often that precipitates containing them are obtained. only sodium and potassium will be studied in detail, since the other metals of the family are of relatively small importance. the compounds of sodium and potassium are so similar in properties that they can be used interchangeably for most purposes. other things being equal, the sodium compounds are prepared in preference to those of potassium, since they are cheaper. when a given sodium compound is deliquescent, or is so soluble that it is difficult to purify, the corresponding potassium compound is prepared in its stead, provided its properties are more desirable in these respects. sodium ~occurrence in nature.~ large deposits of sodium chloride have been found in various parts of the world, and the water of the ocean and of many lakes and springs contains notable quantities of it. the element also occurs as a constituent of many rocks and is therefore present in the soil formed by their disintegration. the mineral cryolite (na_{ }alf_{ }) is an important substance, and the nitrate, carbonate, and borate also occur in nature. ~preparation.~ in sir humphry davy succeeded in preparing very small quantities of metallic sodium by the electrolysis of the fused hydroxide. on account of the cost of electrical energy it was for many years found more economical to prepare it by reducing the carbonate with carbon in accordance with the following equation: na_{ }co_{ } + c = na + co. the cost of generating the electric current has been diminished to such an extent, however, that it is now more economical to prepare sodium by davy's original method, namely, by the electrolysis of the fused hydroxide or chloride. when the chloride is used the process is difficult to manage, owing to the higher temperature required to keep the electrolyte fused, and because of the corroding action of the fused chloride upon the containing vessel. [illustration: sir humphry davy (english) ( - ) isolated sodium, lithium, potassium, barium, strontium, and calcium by means of electrolysis; demonstrated the elementary nature of chlorine; invented the safety lamp; discovered the stupefying effects of nitrous oxide] ~technical preparation.~ the sodium hydroxide is melted in a cylindrical iron vessel (fig. ) through the bottom of which rises the cathode k. the anodes a, several in number, are suspended around the cathode from above. a cylindrical vessel c floats in the fused alkali directly over the cathode, and under this cap the sodium and hydrogen liberated at the cathode collect. the hydrogen escapes by lifting the cover, and the sodium, protected from the air by the hydrogen, is skimmed or drained off from time to time. oxygen is set free upon the anode and escapes into the air through the openings o without coming into contact with the sodium or hydrogen. this process is carried on extensively at niagara falls. [illustration: fig. ] ~properties.~ sodium is a silver-white metal about as heavy as water, and so soft that it can be molded easily by the fingers or pressed into wire. it is very active chemically, combining with most of the non-metallic elements, such as oxygen and chlorine, with great energy. it will often withdraw these elements from combination with other elements, and is thus able to decompose water and the oxides and chlorides of many metals. ~sodium peroxide~ (nao). since sodium is a univalent element we should expect it to form an oxide of the formula na_{ }o. while such an oxide can be prepared, the peroxide (nao) is much better known. it is a yellowish-white powder made by burning sodium in air. its chief use is as an oxidizing agent. when heated with oxidizable substances it gives up a part of its oxygen, as shown in the equation nao = na_{ }o + o. water decomposes it in accordance with the equation nao + h_{ }o = naoh + h_{ }o_{ }. acids act readily upon it, forming a sodium salt and hydrogen peroxide: nao + hcl = nacl + h_{ }o_{ }. in these last two reactions the hydrogen dioxide formed may decompose into water and oxygen if the temperature is allowed to rise: h_{ }o_{ } = h_{ }o + o. ~peroxides.~ it will be remembered that barium dioxide (bao_{ }) yields hydrogen dioxide when treated with acids, and that manganese dioxide gives up oxygen when heated with sulphuric acid. oxides which yield either hydrogen dioxide or oxygen when treated with water or an acid are called peroxides. ~sodium hydroxide~ (_caustic soda_) (naoh). . _preparation._ sodium hydroxide is prepared commercially by several processes. (a) in the older process, still in extensive use, sodium carbonate is treated with calcium hydroxide suspended in water. calcium carbonate is precipitated according to the equation na_{ }co_{ } + ca(oh)_{ } = caco_{ } + naoh. the dilute solution of sodium hydroxide, filtered from the calcium carbonate, is evaporated to a paste and is then poured into molds to solidify. it is sold in the form of slender sticks. (b) the newer methods depend upon the electrolysis of sodium chloride. in the castner process a solution of salt is electrolyzed, the reaction being expressed as follows: nacl + h_{ }o = naoh + h + cl. the chlorine escapes as a gas, and by an ingenious mechanical device the sodium hydroxide is prevented from mixing with the salt in the solution. in the acker process the electrolyte is _fused_ sodium chloride. the chlorine is evolved as a gas at the anode, while the sodium alloys with the melted lead which forms the cathode. when this alloy is treated with water the following reaction takes place: na + h_{ }o = naoh + h. [illustration: fig. ] ~technical process.~ a sketch of an acker furnace is represented in fig. . the furnace is an irregularly shaped cast-iron box, divided into three compartments, a, b, and c. compartment a is lined with magnesia brick. compartments b and c are filled with melted lead, which also covers the bottom of a to a depth of about an inch. above this layer in a is fused salt, into which dip carbon anodes d. the metallic box and melted lead is the cathode. when the furnace is in operation chlorine is evolved at the anodes, and is drawn away through a pipe (not represented) to the bleaching-powder chambers. sodium is set free at the surface of the melted lead in a, and at once alloys with it. through the pipe e a powerful jet of steam is driven through the lead in b upwards into the narrow tube f. this forces the lead alloy up through the tube and over into the chamber g. in this process the steam is decomposed by the sodium in the alloy, forming melted sodium hydroxide and hydrogen. the melted lead and sodium hydroxide separate into two layers in g, and the sodium hydroxide, being on top, overflows into tanks from which it is drawn off and packed in metallic drums. the lead is returned to the other compartments of the furnace by a pipe leading from h to i. compartment c serves merely as a reservoir for excess of melted lead. . _properties._ sodium hydroxide is a white, crystalline, brittle substance which rapidly absorbs water and carbon dioxide from the air. as the name (caustic soda) indicates, it is a very corrosive substance, having a disintegrating action on most animal and vegetable tissues. it is a strong base. it is used in a great many chemical industries, and under the name of lye is employed to a small extent as a cleansing agent for household purposes. ~sodium chloride~ (_common salt_) (nacl). . _preparation._ sodium chloride, or common salt, is very widely distributed in nature. thick strata, evidently deposited at one time by the evaporation of salt water, are found in many places. in the united states the most important localities for salt are new york, michigan, ohio, and kansas. sometimes the salt is mined, especially if it is in the pure form called rock salt. more frequently a strong brine is pumped from deep wells sunk into the salt deposit, and is then evaporated in large pans until the salt crystallizes out. the crystals are in the form of small cubes and contain no water of crystallization; some water is, however, held in cavities in the crystals and causes the salt to decrepitate when heated. . _uses._ since salt is so abundant in nature it forms the starting point in the preparation of all compounds containing either sodium or chlorine. this includes many substances of the highest importance to civilization, such as soap, glass, hydrochloric acid, soda, and bleaching powder. enormous quantities of salt are therefore produced each year. small quantities are essential to the life of man and animals. pure salt does not absorb moisture; the fact that ordinary salt becomes moist in air is not due to a property of the salt, but to impurities commonly occurring in it, especially calcium and magnesium chlorides. ~sodium sulphate~ (_glauber's salt_) (na_{ }so_{ }· h_{ }o). this salt is prepared by the action of sulphuric acid upon sodium chloride, hydrochloric acid being formed at the same time: nacl + h_{ }so_{ } = na_{ }so_{ } + hcl. some sodium sulphate is prepared by the reaction represented in the equation mgso_{ } + nacl = na_{ }so_{ } + mgcl_{ }. the magnesium sulphate required for this reaction is obtained in large quantities in the manufacture of potassium chloride, and being of little value for any other purpose is used in this way. the reaction depends upon the fact that sodium sulphate is the least soluble of any of the four factors in the equation, and therefore crystallizes out when hot, saturated solutions of magnesium sulphate and sodium chloride are mixed together and the resulting mixture cooled. sodium sulphate forms large efflorescent crystals. the salt is extensively used in the manufacture of sodium carbonate and glass. small quantities are used in medicine. ~sodium sulphite~ (na_{ }so_{ }· h_{ }o). sodium sulphite is prepared by the action of sulphur dioxide upon solutions of sodium hydroxide, the reaction being analogous to the action of carbon dioxide upon sodium hydroxide. like the carbonate, the sulphite is readily decomposed by acids: na_{ }so_{ } + hcl = nacl + h_{ }o + so_{ }. because of this reaction sodium sulphite is used as a convenient source of sulphur dioxide. it is also used as a disinfectant and a preservative. ~sodium thiosulphate~ (_hyposulphite of soda or "hypo"_) (na_{ }s_{ }o_{ }· h_{ }o). this salt, commonly called sodium hyposulphite, or merely hypo, is made by boiling a solution of sodium sulphite with sulphur: na_{ }so_{ } + s = na_{ }s_{ }o_{ }. it is used in photography and in the bleaching industry, to absorb the excess of chlorine which is left upon the bleached fabrics. ~thio compounds.~ the prefix "thio" means sulphur. it is used to designate substances which may be regarded as derived from oxygen compounds by replacing the whole or a part of their oxygen with sulphur. the thiosulphates may be regarded as sulphates in which one atom of oxygen has been replaced by an atom of sulphur. this may be seen by comparing the formula na_{ }so_{ } (sodium sulphate) with the formula na_{ }s_{ }o_{ } (sodium thiosulphate). ~sodium carbonate~ (_sal soda_)(na_{ }co_{ }· h_{ }o). there are two different methods now employed in the manufacture of this important substance. . _le blanc process._ this older process involves several distinct reactions, as shown in the following equations. (a) sodium chloride is first converted into sodium sulphate: nacl + h_{ }so_{ } = na_{ }so_{ } + hcl. (b) the sodium sulphate is next reduced to sulphide by heating it with carbon: na_{ }so_{ } + c = na_{ }s + co_{ }. (c) the sodium sulphide is then heated with calcium carbonate, when double decomposition takes place: na_{ }s + caco_{ } = cas + na_{ }co_{ }. ~technical preparation of sodium carbonate.~ in a manufacturing plant the last two reactions take place in one process. sodium sulphate, coal, and powdered limestone are heated together to a rather high temperature. the coal reduces the sulphate to sulphide, which in turn reacts upon the calcium carbonate. some limestone is decomposed by the heat, forming calcium oxide. when treated with water the calcium oxide is changed into hydroxide, and this prevents the water from decomposing the insoluble calcium sulphide. the crude product of the process is a hard black cake called black ash. on digesting this mass with water the sodium carbonate passes into solution. the pure carbonate is obtained by evaporation of this solution, crystallizing from it in crystals of the formula na_{ }co_{ }· h_{ }o. since over % of this salt is water, the crystals are sometimes heated until it is driven off. the product is called calcined soda, and is, of course, more valuable than the crystallized salt. . _solvay process._ this more modern process depends upon the reactions represented in the equations nacl + nh_{ }hco_{ } = nahco_{ } + nh_{ }cl, nahco_{ } = na_{ }co_{ } + h_{ }o + co_{ }. the reason the first reaction takes place is that sodium hydrogen carbonate is sparingly soluble in water, while the other compounds are freely soluble. when strong solutions of sodium chloride and of ammonium hydrogen carbonate are brought together the sparingly soluble sodium hydrogen carbonate is precipitated. this is converted into the normal carbonate by heating, the reaction being represented in the second equation. ~technical preparation.~ in the solvay process a very concentrated solution of salt is first saturated with ammonia gas, and a current of carbon dioxide is then conducted into the solution. in this way ammonium hydrogen carbonate is formed: nh_{ } + h_{ }o + co_{ } = nh_{ }hco_{ }. this enters into double decomposition with the salt, as shown in the first equation under the solvay process. after the sodium hydrogen carbonate has been precipitated the mother liquors containing ammonium chloride are treated with lime: nh_{ }cl + cao = cacl_{ } + nh_{ } + h_{ }o. the lime is obtained by burning limestone: caco_{ } = cao + co_{ }. the ammonia and carbon dioxide evolved in the latter two reactions are used in the preparation of an additional quantity of ammonium hydrogen carbonate. it will thus be seen that there is no loss of ammonia. the only materials permanently used up are calcium carbonate and salt, while the only waste product is calcium chloride. ~historical.~ in former times sodium carbonate was made by burning seaweeds and extracting the carbonate from their ash. on this account the salt was called _soda ash_, and the name is still in common use. during the french revolution this supply was cut off, and in behalf of the french government le blanc made a study of methods of preparing the carbonate directly from salt. as a result he devised the method which bears his name, and which was used exclusively for many years. it has been replaced to a large extent by the solvay process, which has the advantage that the materials used are inexpensive, and that the ammonium hydrogen carbonate used can be regenerated from the products formed in the process. much expense is also saved in fuel, and the sodium hydrogen carbonate, which is the first product of the process, has itself many commercial uses. the le blanc process is still used, however, since the hydrochloric acid generated is of value. ~by-products.~ the substances obtained in a given process, aside from the main product, are called the by-products. the success of many processes depends upon the value of the by-products formed. thus hydrochloric acid, a by-product in the le blanc process, is valuable enough to make the process pay, even though sodium carbonate can be made cheaper in other ways. ~properties of sodium carbonate.~ sodium carbonate forms large crystals of the formula na_{ }co_{ } · h_{ }o. it has a mild alkaline reaction and is used for laundry purposes under the name of washing soda. mere mention of the fact that it is used in the manufacture of glass, soap, and many chemical reagents will indicate its importance in the industries. it is one of the few soluble carbonates. ~sodium hydrogen carbonate~ (_bicarbonate of soda_) (nahco_{ }). this salt, commonly called bicarbonate of soda, or baking soda, is made by the solvay process, as explained above, or by passing carbon dioxide into strong solutions of sodium carbonate: na_{ }co_{ } + h_{ }o + co_{ } = nahco_{ }. the bicarbonate, being sparingly soluble, crystallizes out. a mixture of the bicarbonate with some substance (the compound known as cream of tartar is generally used) which slowly reacts with it, liberating carbon dioxide, is used largely in baking. the carbon dioxide generated forces its way through the dough, thus making it porous and light. ~sodium nitrate~ (_chili saltpeter_) (nano_{ }). this substance is found in nature in arid regions in a number of places, where it has been formed apparently by the decay of organic substances in the presence of air and sodium salts. the largest deposits are in chili, and most of the nitrate of commerce comes from that country. smaller deposits occur in california and nevada. the commercial salt is prepared by dissolving the crude nitrate in water, allowing the insoluble earthy materials to settle, and evaporating the clear solution so obtained to crystallization. the soluble impurities remain for the most part in the mother liquors. since this salt is the only nitrate found extensively in nature, it is the material from which other nitrates as well as nitric acid are prepared. it is used in enormous quantities in the manufacture of sulphuric acid and potassium nitrate, and as a fertilizer. ~sodium phosphate~ (na_{ }hpo_{ }· h_{ }o). since phosphoric acid has three replaceable hydrogen atoms, three sodium phosphates are possible,--two acid salts and one normal. all three can be made without difficulty, but disodium phosphate is the only one which is largely used, and is the salt which is commonly called sodium phosphate. it is made by the action of phosphoric acid on sodium carbonate: na_{ }co_{ } + h_{ }po_{ } = na_{ }hpo_{ } + co_{ } + h_{ }o. it is interesting as being one of the few phosphates which are soluble in water, and is the salt commonly used when a soluble phosphate is needed. ~normal sodium phosphate~ (na_{ }po_{ }). although this is a normal salt its solution has a strongly alkaline reaction. this is due to the fact that the salt hydrolyzes in solution into sodium hydroxide and disodium phosphate, as represented in the equation na_{ }po_{ } + h_{ }o = na_{ }hpo_{ } + naoh. sodium hydroxide is strongly alkaline, while disodium phosphate is nearly neutral in reaction. the solution as a whole is therefore alkaline. the salt is prepared by adding a large excess of sodium hydroxide to a solution of disodium phosphate and evaporating to crystallization. the excess of the sodium hydroxide reverses the reaction of hydrolysis and the normal salt crystallizes out. ~sodium tetraborate ~(_borax_) (na_{ }b_{ }o_{ }· h_{ }o). the properties of this important compound have been discussed under the head of boron. potassium ~occurrence in nature.~ potassium is a constituent of many common rocks and minerals, and is therefore a rather abundant element, though not so abundant as sodium. feldspar, which occurs both by itself and as a constituent of granite, contains considerable potassium. the element is a constituent of all clay and of mica and also occurs in very large deposits at stassfurt, germany, in the form of the chloride and sulphate, associated with compounds of sodium and magnesium. in small quantities it is found as nitrate and in many other forms. the natural decomposition of rocks containing potassium gives rise to various compounds of the element in all fertile soils. its soluble compounds are absorbed by growing plants and built up into complex vegetable substances; when these are burned the potassium remains in the ash in the form of the carbonate. crude carbonate obtained from wood ashes was formerly the chief source of potassium compounds; they are now mostly prepared from the salts of the stassfurt deposits. ~stassfurt salts.~ these salts form very extensive deposits in middle and north germany, the most noted locality for working them being at stassfurt. the deposits are very thick and rest upon an enormous layer of common salt. they are in the form of a series of strata, each consisting largely of a single mineral salt. a cross section of these deposits is shown in fig. . while these strata are salts from a chemical standpoint, they are as solid and hard as many kinds of stone, and are mined as stone or coal would be. since the strata differ in general appearance, each can be mined separately, and the various minerals can be worked up by methods adapted to each particular case. the chief minerals of commercial importance in these deposits are the following: sylvine kcl. anhydrite caso_{ }. carnallite kcl·mgcl_{ }· h_{ }o. kainite k_{ }so_{ }·mgso_{ }·mgcl_{ }· h_{ }o. polyhalite k_{ }so_{ }·mgso_{ }· caso_{ }· h_{ }o. kieserite mgso_{ }·h_{ }o. schönite k_{ }so_{ }·mgso_{ }· h_{ }o. ~preparation and properties.~ the metal is prepared by the same method used in the preparation of sodium. in most respects it is very similar to sodium, the chief difference being that it is even more energetic in its action upon other substances. the freshly cut, bright surface instantly becomes dim through oxidation by the air. it decomposes water very vigorously, the heat of reaction being sufficient to ignite the hydrogen evolved. it is somewhat lighter than sodium and is preserved under gasoline. [illustration: fig. ] ~potassium hydroxide~ (_caustic potash_) (koh). potassium hydroxide is prepared by methods exactly similar to those used in the preparation of sodium hydroxide, which compound it closely resembles in both physical and chemical properties. it is not used to any very great extent, being replaced by the cheaper sodium hydroxide. ~action of the halogen elements on potassium hydroxide.~ when any one of the three halogen elements--chlorine, bromine, and iodine--is added to a solution of potassium hydroxide a reaction takes place, the nature of which depends upon the conditions of the experiment. thus, when chlorine is passed into a cold dilute solution of potassium hydroxide the reaction expressed by the following equation takes place: ( ) koh + cl = kcl + kclo + h_{ }o. if the solution of hydroxide is concentrated and hot, on the other hand, the potassium hypochlorite formed according to equation ( ) breaks down as fast as formed: ( ) kclo = kclo_{ } + kcl. equation ( ), after being multiplied by , may be combined with equation ( ), giving the following: ( ) koh + cl = kcl + kclo_{ } + h_{ }o. this represents in a single equation the action of chlorine on hot, concentrated solutions of potassium hydroxide. by means of these reactions one can prepare potassium chloride, potassium hypochlorite, and potassium chlorate. by substituting bromine or iodine for chlorine the corresponding compounds of these elements are obtained. some of these compounds can be obtained in cheaper ways. if the halogen element is added to a solution of sodium hydroxide or calcium hydroxide, the reaction which takes place is exactly similar to that which takes place with potassium hydroxide. it is possible, therefore, to prepare in this way the sodium and calcium compounds corresponding to the potassium compounds given above. ~potassium chloride~ (kcl). this salt occurs in nature in sea water, in the mineral sylvine, and, combined with magnesium chloride, as carnallite (kcl·mgcl_{ }· h_{ }o). it is prepared from carnallite by saturating boiling water with the mineral and allowing the solution to cool. the mineral decomposes while in solution, and the potassium chloride crystallizes out on cooling, while the very soluble magnesium chloride remains in solution. the salt is very similar to sodium chloride both in physical and chemical properties. it is used in the preparation of nearly all other potassium salts, and, together with potassium sulphate, is used as a fertilizer. ~potassium bromide~ (kbr). when bromine is added to a hot concentrated solution of potassium hydroxide there is formed a mixture of potassium bromide and potassium bromate in accordance with the reactions already discussed. there is no special use for the bromate, so the solution is evaporated to dryness, and the residue, consisting of a mixture of the bromate and bromide, is strongly heated. this changes the bromate to bromide, as follows: kbro_{ } = kbr + o. the bromide is then crystallized from water, forming large colorless crystals. it is used in medicine and in photography. ~potassium iodide~ (ki). potassium iodide may be made by exactly the same method as has just been described for the bromide, substituting iodine for bromine. it is more frequently made as follows. iron filings are treated with iodine, forming the compound fe_{ }i_{ }; on boiling this substance with potassium carbonate the reaction represented in the following equation occurs: fe_{ }i_{ } + k_{ }co_{ } = fe_{ }o_{ } + ki + co_{ }. potassium iodide finds its chief use in medicine. ~potassium chlorate~ (kclo_{ }). this salt, as has just been explained, can be made by the action of chlorine on strong potassium hydroxide solutions. the chief use of potassium chlorate is as an oxidizing agent in the manufacture of matches, fireworks, and explosives; it is also used in the preparation of oxygen and in medicine. ~commercial preparation.~ by referring to the reaction between chlorine and hot concentrated solutions of potassium hydroxide, it will be seen that only one molecule of potassium chlorate is formed from six molecules of potassium hydroxide. partly because of this poor yield and partly because the potassium hydroxide is rather expensive, this process is not an economical one for the preparation of potassium chlorate. the commercial method is the following. chlorine is passed into hot solutions of calcium hydroxide, a compound which is very cheap. the resulting calcium chloride and chlorate are both very soluble. to the solution of these salts potassium chloride is added, and as the solution cools the sparingly soluble potassium chlorate crystallizes out: ca(clo_{ })_{ } + kcl = kclo_{ } + cacl_{ }. electro-chemical processes are also used. ~potassium nitrate~ (_saltpeter_) (kno_{ }). this salt was formerly made by allowing animal refuse to decompose in the open air in the presence of wood ashes or earthy materials containing potassium. under these conditions the nitrogen in the organic matter is in part converted into potassium nitrate, which was obtained by extracting the mass with water and evaporating to crystallization. this crude and slow process is now almost entirely replaced by a manufacturing process in which the potassium salt is made from chili saltpeter: nano_{ } + kcl = nacl + kno_{ }. this process has been made possible by the discovery of the chili niter beds and the potassium chloride of the stassfurt deposits. the reaction depends for its success upon the apparently insignificant fact that sodium chloride is almost equally soluble in cold and hot water. all four factors in the equation are rather soluble in cold water, but in hot water sodium chloride is far less soluble than the other three. when hot saturated solutions of sodium nitrate and potassium chloride are brought together, sodium chloride precipitates and can be filtered off, leaving potassium nitrate in solution, together with some sodium chloride. on cooling, potassium nitrate crystallizes out, leaving small amounts of the other salts in solution. potassium nitrate is a colorless salt which forms very large crystals. it is stable in the air, and when heated is a good oxidizing agent, giving up oxygen quite readily. its chief use is in the manufacture of gunpowder. ~gunpowder.~ the object sought for in the preparation of gunpowder is to secure a solid substance which will remain unchanged under ordinary conditions, but which will explode readily when ignited, evolving a large volume of gas. when a mixture of carbon and potassium nitrate is ignited a great deal of gas is formed, as will be seen from the equation kno_{ } + c = co_{ } + co + n_{ } + k_{ }co_{ }. by adding sulphur to the mixture the volume of gas formed in the explosion is considerably increased: kno_{ } + c + s = co_{ } + n_{ } + k_{ }s. gunpowder is simply a mechanical mixture of these three substances in the proportion required for the above reaction. while the equation represents the principal reaction, other reactions also take place. the gases formed in the explosion, when measured under standard conditions, occupy about two hundred and eighty times the volume of the original powder. potassium sulphide (k_{ }s) is a solid substance, and it is largely due to it that gunpowder gives off smoke and soot when it explodes. smokeless powder consists of organic substances which, on explosion, give only colorless gases, and hence produce no smoke. sodium nitrate is cheaper than potassium nitrate, but it is not adapted to the manufacture of the best grades of powder, since it is somewhat deliquescent and does not give up its oxygen so readily as does potassium nitrate. it is used, however, in the cheaper grades of powder, such as are employed for blasting. ~potassium cyanide~ (kcn). when animal matter containing nitrogen is heated with iron and potassium carbonate, complicated changes occur which result in the formation of a substance commonly called yellow prussiate of potash, which has the formula k_{ }fec_{ }n_{ }. when this substance is heated with potassium, potassium cyanide is formed: k_{ }fec_{ }n_{ } + k = kcn + fe. since sodium is much cheaper than potassium it is often used in place of it: k_{ }fec_{ }n_{ } + na = kcn + nacn + fe. the mixture of cyanides so resulting serves most of the purposes of the pure salt. it is used very extensively in several metallurgical processes, particularly in the extraction of gold. potassium cyanide is a white solid characterized by its poisonous properties, and must be used with extreme caution. ~potassium carbonate~ (_potash_) (k_{ }co_{ }). this compound occurs in wood ashes in small quantities. it cannot be prepared by the solvay process, since the acid carbonate is quite soluble in water, but is made by the le blanc process. its chief use is in the manufacture of other potassium salts. ~other salts of potassium.~ among the other salts of potassium frequently met with are the sulphate (k_{ }so_{ }), the acid carbonate (khco_{ }), the acid sulphate (khso_{ }), and the acid sulphite (khso_{ }). these are all white solids. lithium, rubidium, cÆsium of the three remaining elements of the family--lithium, rubidium, and cæsium--lithium is by far the most common, the other two being very rare. lithium chloride and carbonate are not infrequently found in natural mineral waters, and as these substances are supposed to increase the medicinal value of the water, they are very often added to artificial mineral waters in small quantities. compounds of ammonium ~general.~ as explained in a previous chapter, when ammonia is passed into water the two compounds combine to form the base nh_{ }oh, known as ammonium hydroxide. when this base is neutralized with acids there are formed the corresponding salts, known as the ammonium salts. since the ammonium group is univalent, ammonium salts resemble those of the alkali metals in formulas; they also resemble the latter salts very much in their chemical properties, and may be conveniently described in connection with them. among the ammonium salts the chloride, sulphate, carbonate, and sulphide are the most familiar. ~ammonium chloride~ (_sal ammoniac_) (nh_{ }cl). this substance is obtained by neutralizing ammonium hydroxide with hydrochloric acid. it is a colorless substance crystallizing in fine needles, and, like most ammonium salts, is very soluble in water. when placed in a tube and heated strongly it decomposes into hydrochloric acid and ammonia. when these gases reach a cooler portion of the tube they at once recombine, and the resulting ammonium chloride is deposited on the sides of the tube. in this way the salt can be separated from nonvolatile impurities. ammonium chloride is sometimes used in preparation of ammonia; it is also used in making dry batteries and in the laboratory as a chemical reagent. ~ammonium sulphate~ ((nh_{ })_{ }so_{ }). this salt resembles the chloride very closely, and, being cheaper, is used in place of it when possible. it is used in large quantity as a fertilizer, the nitrogen which it contains being a very valuable food for plants. ~ammonium carbonate~ ((nh_{ })_{ }co_{ }). this salt, as well as the acid carbonate (nh_{ }hco_{ }), is used as a chemical reagent. they are colorless solids, freely soluble in water. the normal carbonate is made by heating ammonium chloride with powdered limestone (calcium carbonate), the ammonium carbonate being obtained as a sublimate in compact hard masses: nh_{ }cl + caco_{ } = (nh_{ })_{ }co_{ } + cacl_{ }. the salt always smells of ammonia, since it slowly decomposes, as shown in the equation (nh_{ })_{ }co_{ } = nh_{ }hco_{ } + nh_{ }. the acid carbonate, or bicarbonate, is prepared by saturating a solution of ammonium hydroxide with carbon dioxide: nh_{ }oh + co_{ } = nh_{ }hco_{ }. it is a well-crystallized stable substance. ~ammonium sulphide~ ((nh_{ })_{ }s). ammonium sulphide is prepared by the action of hydrosulphuric acid upon ammonium hydroxide: nh_{ }oh + h_{ }s = (nh_{ })_{ }s + h_{ }o. if the action is allowed to continue until no more hydrosulphuric acid is absorbed, the product is the acid sulphide, sometimes called the hydrosulphide: nh_{ }oh + h_{ }s = nh_{ }hs + h_{ }o. if equal amounts of ammonium hydroxide and ammonium acid sulphide are brought together, the normal sulphide is formed: nh_{ }oh + nh_{ }hs = (nh_{ })_{ }s + h_{ }o it has been obtained in the solid state, but only with great difficulty. as used in the laboratory it is always in the form of a solution. it is much used in the process of chemical analysis because it is a soluble sulphide and easily prepared. on exposure to the air ammonium sulphide slowly decomposes, being converted into ammonia, water, and sulphur: (nh_{ })_{ }s + o = nh_{ } + h_{ }o + s. as fast as the sulphur is liberated it combines with the unchanged sulphide to form several different ammonium sulphides in which there are from two to five sulphur atoms in the molecule, thus: (nh_{ })_{ }s_{ }, (nh_{ })_{ }s_{ }, (nh_{ })_{ }s_{ }. these sulphides in turn decompose by further action of oxygen, so that the final products of the reaction are those given in the equation. a solution of these compounds is yellow and is sometimes called _yellow ammonium sulphide_. flame reaction--spectroscope when compounds of either sodium or potassium are brought into the non-luminous flame of a bunsen burner the flame becomes colored. sodium compounds color it intensely yellow, while those of potassium color it pale violet. when only one of these elements is present it is easy to identify it by this simple test, but when both are present the intense color of the sodium flame entirely conceals the pale tint characteristic of potassium compounds. it is possible to detect the potassium flame in such cases, however, in the following way. when light is allowed to shine through a very small hole or slit in some kind of a screen, such as a piece of metal, upon a triangular prism of glass, the light is bent or refracted out of its course instead of passing straight through the glass. it thus comes out of the prism at some angle to the line at which it entered. yellow light is bent more than red, and violet more than yellow. when light made up of the yellow of sodium and the violet of potassium shines through a slit upon such a prism, the yellow and the violet lights come out at somewhat different angles, and so two colored lines of light--a yellow line and a violet line--are seen on looking into the prism in the proper direction. the instrument used for separating the rays of light in this way is called a _spectroscope_ (fig. ). the material to be tested is placed on a platinum wire and held in the colorless bunsen flame. the resulting light passes through the slit in the end of tube b, and then through b to the prism. the resulting lines of light are seen by looking into the tube a, which contains a magnifying lens. most elements give more than one image of the slit, each having a different color, and the series of colored lines due to an element is called its spectrum. [illustration: fig. ] the spectra of the known elements have been carefully studied, and any element which imparts a characteristic color to a flame, or has a spectrum of its own, can be identified even when other elements are present. through the spectroscopic examination of certain minerals a number of elements have been discovered by the observation of lines which did not belong to any known element. a study of the substance then brought to light the new element. rubidium and cæsium were discovered in this way, rubidium having bright red lines and cæsium a very intense blue line. lithium colors the flame deep red, and has a bright red line in its spectrum. exercises . what is an alkali? can a metal itself be an alkali? . write equations showing how the following changes may be brought about, giving the general principle involved in each change: nacl --> na_{ }so_{ }, na_{ }so_{ } --> nacl, nacl --> nabr, na_{ }so_{ } --> nano_{ }, nano_{ } --> nahco_{ }. . what carbonates are soluble? . state the conditions under which the reaction represented by the following equation can be made to go in either direction: na_{ }co_{ } + h_{ }o + co_{ } <--> nahco_{ }. . account for the fact that solutions of sodium carbonate and potassium carbonate are alkaline. . what non-metallic element is obtained from the deposits of chili saltpeter? . supposing concentrated hydrochloric acid (den. = . ) to be worth six cents a pound, what is the value of the acid generated in the preparation of ton of sodium carbonate by the le blanc process? . what weight of sodium carbonate crystals will kg. of the anhydrous salt yield? . write equations for the preparation of potassium hydroxide by three different methods. . what would take place if a bit of potassium hydroxide were left exposed to the air? . write the equations for the reactions between sodium hydroxide and bromine; between potassium hydroxide and iodine. . write equations for the preparation of potassium sulphate; of potassium acid carbonate. . what weight of carnallite would be necessary in the preparation of ton of potassium carbonate? . write the equations showing how ammonium chloride, ammonium sulphate, ammonium carbonate, and ammonium nitrate may be prepared from ammonium hydroxide. . write an equation to represent the reaction involved in the preparation of ammonia from ammonium chloride. . what substances already studied are prepared from the following compounds? ammonium chloride; ammonium nitrate; ammonium nitrite; sodium nitrate; sodium chloride. . how could you prove that the water in crystals of common salt is not water of crystallization? . how could you distinguish between potassium chloride and potassium iodide? between sodium chloride and ammonium chloride? between sodium nitrate and potassium nitrate? [illustration: robert wilhelm bunsen (german) ( - ) invented many lecture-room and laboratory appliances (bunsen burner); invented the spectroscope and with it discovered rubidium and cæsium; greatly perfected methods of electrolysis, inventing a new battery; made many investigations among metallic and organic substances] chapter xxiv the alkaline-earth family =========================================================================== | | | | | | | | | milligrams sol- | | | | | uble in l. | | | | | of water at ° | | symbol | atomic | density |__________________| carbonate | | weight | | | | decomposes | | | | sulphate| hydrox-| | | | | | ide | __________|________|________|_________|_________|________|_________________ | | | | | | calcium | ca | . | . | . | . | at dull red heat strontium | sr | . | . | . | . | at white heat barium | ba | . | . | . | . | scarcely at all =========================================================================== ~the family.~ the alkaline-earth family consists of the very abundant element calcium and the much rarer elements strontium and barium. they are called the alkaline-earth metals because their properties are between those of the alkali metals and the earth metals. the earth metals will be discussed in a later chapter. the family is also frequently called the calcium family. . _occurrence._ these elements do not occur free in nature. their most abundant compounds are the carbonates and sulphates; calcium also occurs in large quantities as the phosphate and silicate. . _preparation._ the metals were first prepared by davy in by electrolysis. this method has again come into use in recent years. strontium and barium have as yet been obtained only in small quantities and in the impure state, and many of their physical properties, such as their densities and melting points, are therefore imperfectly known. . _properties._ the three metals resemble each other very closely. they are silvery-white in color and are about as hard as lead. their densities increase with their atomic weights, as is shown in the table on opposite page. like the alkali metals they have a strong affinity for oxygen, tarnishing in the air through oxidation. they decompose water at ordinary temperatures, forming hydroxides and liberating hydrogen. when ignited in the air they burn with brilliancy, forming oxides of the general formula mo. these oxides readily combine with water, according to the equation mo + h_{ }o = m(oh)_{ }. each of the elements has a characteristic spectrum, and the presence of the metals can easily be detected by the spectroscope. . _compounds._ the elements are divalent in almost all of their compounds, and these compounds in solution give simple, divalent, colorless ions. the corresponding salts of the three elements are very similar to each other and show a regular variation in properties in passing from calcium to strontium and from strontium to barium. this is seen in the solubility of the sulphate and hydroxide, and in the ease of decomposition of the carbonates, as given in the table. unlike the alkali metals, their normal carbonates and phosphates are insoluble in water. calcium ~occurrence.~ the compounds of calcium are very abundant in nature, so that the total amount of calcium in the earth's crust is very large. a great many different compounds containing the clement are known, the most important of which are the following: calcite (marble) caco_{ }. phosphorite ca_{ }(po_{ })_{ }. fluorspar caf_{ }. wollastonite casio_{ }. gypsum caso_{ }· h_{ }o. anhydrite caso_{ }. ~preparation.~ calcium is now prepared by the electrolysis of the melted chloride, the metal depositing in solid condition on the cathode. it is a gray metal, considerably heavier and harder than sodium. it acts upon water, forming calcium hydroxide and hydrogen, but the action does not evolve sufficient heat to melt the metal. it promises to become a useful substance, though no commercial applications for it have as yet been found. ~calcium oxide~ (_lime, quicklime_) (cao). lime is prepared by strongly heating calcium carbonate (limestone) in large furnaces called kilns: caco_{ } = cao + co_{ }. when pure, lime is a white amorphous substance. heated intensely, as in the oxyhydrogen flame, it gives a brilliant light called the lime light. although it is a very difficultly fusible substance, yet in the electric furnace it can be made to melt and even boil. water acts upon lime with the evolution of a great deal of heat,--hence the name quicklime, or live lime,--the process being called slaking. the equation is cao + h_{ }o = ca(oh)_{ }. lime readily absorbs moisture from the air, and is used to dry moist gases, especially ammonia, which cannot be dried by the usual desiccating agents. it also absorbs carbon dioxide, forming the carbonate cao + co_{ } = caco_{ }. lime exposed to air is therefore gradually converted into hydroxide and carbonate, and will no longer slake with water. it is then said to be air-slaked. ~limekilns.~ the older kiln, still in common use, consists of a large cylindrical stack in which the limestone is loosely packed. a fire is built at the base of the stack, and when the burning is complete it is allowed to die out and the lime is removed from the kiln. the newer kilns are constructed as shown in fig. . a number of fire boxes are built around the lower part of the kiln, one of which is shown at b. the fire is built on the grate f and the hot products of combustion are drawn up through the stack, decomposing the limestone. the kiln is charged at c, and sometimes fuel is added with the limestone to cause combustion throughout the contents of the kiln. the burned lime is raked out through openings in the bottom of the stack, one of which is shown at _d._ the advantage of this kind of a kiln over the older form is that the process is continuous, limestone being charged in at the top as fast as the lime is removed at the bottom. [illustration: fig. ] ~calcium hydroxide ~ (_slaked lime_) (ca(oh)_{ }). pure calcium hydroxide is a light white powder. it is sparingly soluble in water, forming a solution called _limewater_, which is often used in medicine as a mild alkali. chemically, calcium hydroxide is a moderately strong base, though not so strong as sodium hydroxide. owing to its cheapness it is much used in the industries whenever an alkali is desired. a number of its uses have already been mentioned. it is used in the preparation of ammonia, bleaching powder, and potassium hydroxide. it is also used to remove carbon dioxide and sulphur compounds from coal gas, to remove the hair from hides in the tanneries (this recalls the caustic or corrosive properties of sodium hydroxide), and for making mortar. ~mortar~ is a mixture of calcium hydroxide and sand. when it is exposed to the air or spread upon porous materials moisture is removed from it partly by absorption in the porous materials and partly by evaporation, and the mortar becomes firm, or _sets_. at the same time carbon dioxide is slowly absorbed from the air, forming hard calcium carbonate: ca(oh)_{ } + co_{ } = caco_{ } + h_{ }o. by this combined action the mortar becomes very hard and adheres firmly to the surface upon which it is spread. the sand serves to give body to the mortar and makes it porous, so that the change into carbonate can take place throughout the mass. it also prevents too much shrinkage. ~cement.~ when limestone to which clay and sand have been added in certain proportions is burned until it is partly fused (some natural marl is already of about the right composition), and the clinker so produced is ground to powder, the product is called cement. when this material is moistened it sets to a hard stone-like mass which retains its hardness even when exposed to the continued action of water. it can be used for under-water work, such as bridge piers, where mortar would quickly soften. several varieties of cement are made, the best known of which is portland cement. ~growing importance of cement.~ cement is rapidly coming into use for a great variety of purposes. it is often used in place of mortar in the construction of brick buildings. mixed with crushed stone and sand it forms concrete which is used in foundation work. it is also used in making artificial stone, terra-cotta trimmings for buildings, artificial stone walks and floors, and the like. it is being used more and more for making many articles which were formerly made of wood or stone, and the entire walls of buildings are sometimes made of cement blocks or of concrete. ~calcium carbonate~ (caco_{ }). this substance is found in a great many natural forms to which various names have been given. they may be classified under three heads: . _amorphous carbonate._ this includes those forms which are not markedly crystalline. limestone is the most familiar of these and is a grayish rock usually found in hard stratified masses. whole mountain ranges are sometimes made up of this material. it is always impure, usually containing magnesium carbonate, clay, silica, iron and aluminium compounds, and frequently fossil remains. marl is a mixture of limestone and clay. pearls, chalk, coral, and shells are largely calcium carbonate. . _hexagonal carbonate._ calcium carbonate crystallizes in the form of rhomb-shaped crystals which belong to the hexagonal system. when very pure and transparent the substance is called iceland spar. calcite is a similar form, but somewhat opaque or clouded. mexican onyx is a massive variety, streaked or banded with colors due to impurities. marble when pure is made up of minute calcite crystals. stalactites and stalagmites are icicle-like forms sometimes found in caves. . _rhombic carbonate._ calcium carbonate sometimes crystallizes in needle-shaped crystals belonging to the rhombic system. this is the unstable form and tends to go over into the other variety. aragonite is the most familiar example of this form. ~preparation and uses of calcium carbonate.~ in the laboratory pure calcium carbonate can be prepared by treating a soluble calcium salt with a soluble carbonate: na_{ }co_{ } + cacl_{ } = caco_{ } + nacl. when prepared in this way it is a soft white powder often called precipitated chalk, and is much used as a polishing powder. it is insoluble in water, but dissolves in water saturated with carbon dioxide, owing to the formation of the acid calcium carbonate which is slightly soluble: caco_{ } + h_{ }co_{ } = ca(hco_{ })_{ }. the natural varieties of calcium carbonate find many uses, such as in the preparation of lime and carbon dioxide; in metallurgical operations, especially in the blast furnaces; in the manufacture of soda, glass, and crayon (which, in addition to chalk, usually contains clay and calcium sulphate); for building stone and ballast for roads. ~calcium chloride~ (cacl_{ }). this salt occurs in considerable quantity in sea water. it is obtained as a by-product in many technical processes, as in the solvay soda process. when crystallized from its saturated solutions it forms colorless needles of the composition cacl_{ }· h_{ }o. by evaporating a solution to dryness and heating to a moderate temperature calcium chloride is obtained anhydrous as a white porous mass. in this condition it absorbs water with great energy and is a valuable drying agent. ~bleaching powder~ (caocl_{ }). when chlorine acts upon a solution of calcium hydroxide the reaction is similar to that which occurs between chlorine and potassium hydroxide: ca(oh)_{ } + cl = cacl_{ } + ca(clo)_{ } + h_{ }o. if, however, chlorine is conducted over calcium hydroxide in the form of a dry powder, it is absorbed and a substance is formed which appears to have the composition represented in the formula caocl_{ }. this substance is called bleaching powder, or hypochlorite of lime. it is probably the calcium salt of both hydrochloric and hypochlorous acids, so that its structure is represented by the formula /clo ca \cl. in solution this substance acts exactly like a mixture of calcium chloride (cacl_{ }) and calcium hypochlorite (ca(clo)_{ }), since it dissociates to form the ions ca^{++}, cl^{-}, and clo^{-}. bleaching powder undergoes a number of reactions which make it an important substance. . when treated with an acid it evolves chlorine: /clo ca + h_{ }so_{ } = caso_{ } + hcl + hclo, \cl hcl + hclo = h_{ }o + cl. this reaction can be employed in the preparation of chlorine, or the nascent chlorine may be used as a bleaching agent. . it is slowly decomposed by the carbon dioxide of the air, yielding calcium carbonate and chlorine: caocl_{ } + co_{ } = caco_{ } + cl. owing to this slow action the substance is a good disinfectant. . when its solution is boiled the substance breaks down into calcium chloride and chlorate: caocl_{ } = cacl_{ } + ca(clo_{ })_{ }. this reaction is used in the preparation of potassium chlorate. ~calcium fluoride~ (_fluorspar_) (caf_{ }). fluorspar has already been mentioned as the chief natural compound of fluorine. it is found in large quantities in a number of localities, and is often crystallized in perfect cubes of a light green or amethyst color. it can be melted easily in a furnace, and is sometimes used in the fused condition in metallurgical operations to protect a metal from the action of the air during its reduction. it is used as the chief source of fluorine compounds, especially hydrofluoric acid. ~calcium sulphate~ (_gypsum_) (caso_{ }· h_{ }o). this abundant substance occurs in very perfectly formed crystals or in massive deposits. it is often found in solution in natural waters and in the sea water. salts deposited from sea water are therefore likely to contain this substance (see stassfurt salts). it is very sparingly soluble in water, and is thrown down as a fine white precipitate when any considerable amounts of a calcium salt and a soluble sulphate (or sulphuric acid) are brought together in solution. its chief use is in the manufacture of plaster of paris and of hollow tiles for fireproof walls. such material is called _gypsite_. it is also used as a fertilizer. calcium sulphate, like the carbonate, occurs in many forms in nature. gypsum is a name given to all common varieties. granular or massive specimens are called alabaster, while all those which are well crystallized are called selenite. satin spar is still another variety often seen in mineral collections. ~plaster of paris.~ when gypsum is heated to about ° it loses a portion of its water of crystallization in accordance with the equation (caso_{ }· h_{ }o) = caso_{ }·h_{ }o + h_{ }o. the product is a fine white powder called _plaster of paris_. on being moistened it again takes up this water, and in so doing first forms a plastic mass, which soon becomes very firm and hard and regains its crystalline structure. these properties make it very valuable as a material for forming casts and stucco work, for cementing glass to metals, and for other similar purposes. if overheated so that all water is driven off, the process of taking up water is so slow that the material is worthless. such material is said to be dead burned. plaster of paris is very extensively used as the finishing coat for plastered walls. ~hard water.~ waters containing compounds of calcium and magnesium in solution are called hard waters because they feel harsh to the touch. the hardness of water may be of two kinds,--( ) temporary hardness and ( ) permanent hardness. . _temporary hardness._ we have seen that when water charged with carbon dioxide comes in contact with limestone a certain amount of the latter dissolves, owing to the formation of the soluble acid carbonate of calcium. the hardness of such waters is said to be temporary, since it may be removed by boiling. the heat changes the acid carbonate into the insoluble normal carbonate which then precipitates, rendering the water soft: ca(hco_{ })_{ } = caco_{ } + h_{ }o + co_{ }. such waters may also be softened by the addition of sufficient lime or calcium hydroxide to convert the acid carbonate of calcium into the normal carbonate. the equation representing the reaction is ca(hco_{ })_{ } + ca(oh)_{ } = caco_{ } + h_{ }o. . _permanent hardness._ the hardness of water may also be due to the presence of calcium and magnesium sulphates or chlorides. boiling the water does not affect these salts; hence such waters are said to have permanent hardness. they may be softened, however, by the addition of sodium carbonate, which precipitates the calcium and magnesium as insoluble carbonates: caso_{ } + na_{ }co_{ } = caco_{ } + na_{ }so_{ }. this process is sometimes called "breaking" the water. ~commercial methods for softening water.~ the average water of a city supply contains not only the acid carbonates of calcium and magnesium but also the sulphates and chlorides of these metals, together with other salts in smaller quantities. such waters are softened on a commercial scale by the addition of the proper quantities of calcium hydroxide and sodium carbonate. the calcium hydroxide is added first to precipitate all the acid carbonates. after a short time the sodium carbonate is added to precipitate the other soluble salts of calcium and magnesium, together with any excess of calcium hydroxide which may have been added. the quantity of calcium hydroxide and sodium carbonate required is calculated from a chemical analysis of the water. it will be noticed that the water softened in this way will contain sodium sulphate and chloride, but the presence of these salts is not objectionable. ~calcium carbide~ (cac_{ }). this substance is made by heating well-dried coke and lime in an electrical furnace. the equation is cao + c = cac_{ } + co. the pure carbide is a colorless, transparent, crystalline substance. in contact with water it is decomposed with the evolution of pure acetylene gas, having a pleasant ethereal odor. the commercial article is a dull gray porous substance which contains many impurities. the acetylene prepared from this substance has a very characteristic odor due to impurities, the chief of these being phosphine. it is used in considerable quantities as a source of acetylene gas for illuminating purposes. ~technical preparation.~ fig. represents a recent type of a carbide furnace. the base of the furnace is provided with a large block of carbon a, which serves as one of the electrodes. the other electrodes b, several in number, are arranged horizontally at some distance above this. a mixture of coal and lime is fed into the furnace through the trap top c, and in the lower part of the furnace this mixture becomes intensely heated, forming liquid carbide. this is drawn off through the taphole d. the carbon monoxide formed in the reaction escapes through the pipes e and is led back into the furnace. the pipes f supply air, so that the monoxide burns as it reënters the furnace and assists in heating the charge. the carbon dioxide so formed, together with the nitrogen entering as air, escape at g. an alternating current is used. [illustration: fig. ] ~calcium phosphate~ (ca_{ }(po_{ })_{ }). this important substance occurs abundantly in nature as a constituent of apatite ( ca_{ }(po_{ })_{ }·caf_{ }), in phosphate rock, and as the chief mineral constituent of bones. bone ash is therefore nearly pure calcium phosphate. it is a white powder, insoluble in water, although it readily dissolves in acids, being decomposed by them and converted into soluble acid phosphates, as explained in connection with the acids of phosphorus. strontium ~occurrence.~ strontium occurs sparingly in nature, usually as strontianite (srco_{ }) and as celestite (srso_{ }). both minerals form beautiful colorless crystals, though celestite is sometimes colored a faint blue. only a few of the compounds of strontium have any commercial applications. ~strontium hydroxide~ (sr(oh)_{ }· h_{ }o). the method of preparation of strontium hydroxide is analogous to that of calcium hydroxide. the substance has the property of forming an insoluble compound with sugar, which can easily be separated again into its constituents. it is therefore sometimes used in the sugar refineries to extract sugar from impure mother liquors from which the sugar will not crystallize. ~strontium nitrate~ (sr(no_{ })_{ }· h_{ }o). this salt is prepared by treating the native carbonate with nitric acid. when ignited with combustible materials it imparts a brilliant crimson color to the flame, and because of this property it is used in the manufacture of red lights. barium barium is somewhat more abundant than strontium, occurring in nature largely as barytes, or heavy spar (baso_{ }), and witherite (baco_{ }). like strontium, it closely resembles calcium both in the properties of the metal and in the compounds which it forms. ~oxides of barium.~ barium oxide (bao) can be obtained by strongly heating the nitrate: ba(no_{ })_{ } = bao + no_{ } + o. heated to a low red heat in the air, the oxide combines with oxygen, forming the peroxide (bao_{ }). if the temperature is raised still higher, or the pressure is reduced, oxygen is given off and the oxide is once more formed. the reaction bao_{ } <--> bao + o is reversible and has been used as a means of separating oxygen from the air. treated with acids, barium peroxide yields hydrogen peroxide: bao_{ } + hcl = bacl_{ } + h_{ }o_{ }. ~barium chloride~ (bacl_{ }· h_{ }o). barium chloride is a white well-crystallized substance which is easily prepared from the native carbonate. it is largely used in the laboratory as a reagent to detect the presence of sulphuric acid or soluble sulphates. ~barium sulphate~ _(barytes)_ (baso_{ }). barium sulphate occurs in nature in the form of heavy white crystals. it is precipitated as a crystalline powder when a barium salt is added to a solution of a sulphate or sulphuric acid: bacl_{ } + h_{ }so_{ } = baso_{ } + hcl. this precipitate is used, as are also the finely ground native sulphate and carbonate, as a pigment in paints. on account of its low cost it is sometimes used as an adulterant of white lead, which is also a heavy white substance. barium compounds color the flame green, and the nitrate (ba(no_{ })_{ }) is used in the manufacture of green lights. soluble barium compounds are poisonous. radium ~historical.~ in the french scientist becquerel observed that the mineral pitchblende possesses certain remarkable properties. it affects photographic plates even in complete darkness, and discharges a gold-leaf electroscope when brought close to it. in madam curie made a careful study of pitchblende to see if these properties belong to it or to some unknown substance contained in it. she succeeded in extracting from it a very small quantity of a substance containing a new element which she named radium. in madam curie succeeded in obtaining radium itself by the electrolysis of radium chloride. it is a silver-white metal melting at about °. it blackens in the air, forming a nitride, and decomposes water. its atomic weight is about . . ~properties.~ compounds of radium affect a photographic plate or electroscope even through layers of paper or sheets of metal. they also bring about chemical changes in substances placed near them. investigation of these strange properties has suggested that the radium atoms are unstable and undergo a decomposition. as a result of this decomposition very minute bodies, to which the name corpuscles has been given, are projected from the radium atom with exceedingly great velocity. it is to these corpuscles that the strange properties of radium are due. it seems probable that the gas helium is in some way formed during the decomposition of radium. two or three other elements, particularly uranium and thorium, have been found to possess many of the properties of radium in smaller degree. ~radium and the atomic theory.~ if these views in regard to radium should prove to be well founded, it will be necessary to modify in some respects the conception of the atom as developed in a former chapter. the atom would have to be regarded as a compound unit made up of several parts. in a few cases, as in radium and uranium, it would appear that this unit is unstable and undergoes transformation into more stable combinations. this modification would not, in any essential way, be at variance with the atomic theory as propounded by dalton. exercises . what properties have the alkaline-earth metals in common with the alkali metals? in what respects do they differ? . write the equation for the reaction between calcium carbide and water. . for what is calcium chlorate used? . could limestone be completely decomposed if heated in a closed vessel? . caves often occur in limestone. account for their formation. . what is the significance of the term fluorspar? (consult dictionary.) . could calcium chloride be used in place of barium chloride in testing for sulphates? . what weight of water is necessary to slake the lime obtained from ton of pure calcium carbonate? . what weight of gypsum is necessary in the preparation of ton of plaster of paris? . write equations to represent the reactions involved in the preparation of strontium hydroxide and strontium nitrate from strontianite. . write equations to represent the reactions involved in the preparation of barium chloride from heavy spar. . could barium hydroxide be used in place of calcium hydroxide in testing for carbon dioxide? chapter xxv the magnesium family =========================================================================== |symbol |atomic |density |melting |boiling | oxide | |weight | | point | point | --------------------------------------------------------------------------- magnesium | mg | . | . | ° | ° | mgo zinc | zn | . | . | ° | ° | zno cadmium | cd | . | . | ° | ° | cdo =========================================================================== ~the family.~ in the magnesium family are included the four elements: magnesium, zinc, cadmium, and mercury. between the first three of these metals there is a close family resemblance, such as has been traced between the members of the two preceding families. mercury in some respects is more similar to copper and will be studied in connection with that metal. . _properties._ when heated to a high temperature in the air each of these metals combines with oxygen to form an oxide of the general formula mo, in which m represents the metal. magnesium decomposes boiling water slowly, while zinc and cadmium have but little action on it. . _compounds._ the members of this group are divalent in nearly all their compounds, so that the formulas of their salts resemble those of the alkaline-earth metals. like the alkaline-earth metals, their carbonates and phosphates are insoluble in water. their sulphates, however, are readily soluble. unlike both the alkali and alkaline-earth metals, their hydroxides are nearly insoluble in water. most of their compounds dissociate in such a way as to give a simple, colorless, metallic ion. magnesium ~occurrence.~ magnesium is a very abundant element in nature, ranking a little below calcium in this respect. like calcium, it is a constituent of many rocks and also occurs in the form of soluble salts. ~preparation.~ the metal magnesium, like most metals whose oxides are difficult to reduce with carbon, was formerly prepared by heating the anhydrous chloride with sodium: mgcl_{ } + na = nacl + mg. it is now made by electrolysis, but instead of using as the electrolyte the melted anhydrous chloride, which is difficult to obtain, the natural mineral carnallite is used. this is melted in an iron pot which also serves as the cathode in the electrolysis. a rod of carbon dipping into the melted salt serves as the anode. the apparatus is very similar to the one employed in the preparation of sodium. ~properties.~ magnesium is a rather tough silvery-white metal of small density. air does not act rapidly upon it, but a thin film of oxide forms upon its surface, dimming its bright luster. the common acids dissolve it with the formation of the corresponding salts. it can be ignited readily and in burning liberates much heat and gives a brilliant white light. this light is very rich in the rays which affect photographic plates, and the metal in the form of fine powder is extensively used in the production of flash lights and for white lights in pyrotechnic displays. ~magnesium oxide~ (_magnesia_) (mgo). magnesium oxide, sometimes called magnesia or magnesia usta, resembles lime in many respects. it is much more easily formed than lime and can be made in the same way,--by igniting the carbonate. it is a white powder, very soft and light, and is unchanged by heat even at very high temperatures. for this reason it is used in the manufacture of crucibles, for lining furnaces, and for other purposes where a refractory substance is needed. it combines with water to form magnesium hydroxide, but much more slowly and with the production of much less heat than in the case of calcium oxide. ~magnesium hydroxide~ (mg(oh)_{ }). the hydroxide formed in this way is very slightly soluble in water, but enough dissolves to give the water an alkaline reaction. magnesium hydroxide is therefore a fairly strong base. it is an amorphous white substance. neither magnesia nor magnesium salts have a very marked effect upon the system; and for this reason magnesia is a very suitable antidote for poisoning by strong acids, since any excess introduced into the system will have no injurious effect. ~magnesium cement.~ a paste of magnesium hydroxide and water slowly absorbs carbon dioxide from the air and becomes very hard. the hardness of the product is increased by the presence of a considerable amount of magnesium chloride in the paste. the hydroxide, with or without the chloride, is used in the preparation of cements for some purposes. ~magnesium carbonate~ (mgco_{ }). magnesium carbonate is a very abundant mineral. it occurs in a number of localities as magnesite, which is usually amorphous, but sometimes forms pure crystals resembling calcite. more commonly it is found associated with calcium carbonate. the mineral dolomite has the composition caco_{ }·mgco_{ }. limestone containing smaller amounts of magnesium carbonate is known as dolomitic limestone. dolomite is one of the most common rocks, forming whole mountain masses. it is harder and less readily attacked by acids than limestone. it is valuable as a building stone and as ballast for roadbeds and foundations. like calcium carbonate, magnesium carbonate is insoluble in water, though easily dissolved by acids. ~basic carbonate of magnesium.~ we should expect to find magnesium carbonate precipitated when a soluble magnesium salt and a soluble carbonate are brought together: na_{ }co_{ } + mgcl_{ } = mgco_{ } + nacl. instead of this, some carbon dioxide escapes and the product is found to be a basic carbonate. the most common basic carbonate of magnesium has the formula mgco_{ }·mg(oh)_{ }, and is sometimes called magnesia alba. this compound is formed by the partial hydrolysis of the normal carbonate at first precipitated: mgco_{ } + h_{ }o = mgco_{ }·mg(oh)_{ } + h_{ }co_{ }. ~magnesium chloride~ (mgcl_{ }· h_{ }o). magnesium chloride is found in many natural waters and in many salt deposits (see stassfurt salts). it is obtained as a by-product in the manufacture of potassium chloride from carnallite. as there is no very important use for it, large quantities annually go to waste. when heated to drive off the water of crystallization the chloride is decomposed as shown in the equation mgcl_{ }· h_{ }o = mgo + hcl + h_{ }o. owing to the abundance of magnesium chloride, this reaction is being used to some extent in the preparation of both magnesium oxide and hydrochloric acid. ~boiler scale.~ when water which contains certain salts in solution is evaporated in steam boilers, a hard insoluble material called _scale_ deposits in the boiler. the formation of this scale may be due to several distinct causes. . _to the deposit of calcium sulphate._ this salt, while sparingly soluble in cold water, is almost completely insoluble in superheated water. consequently it is precipitated when water containing it is heated in a boiler. . _to decomposition of acid carbonates._ as we have seen, calcium and magnesium acid carbonates are decomposed on heating, forming insoluble normal carbonates: ca(hco_{ })_{ } = caco_{ } + h_{ }o + co_{ }. . _to hydrolysis of magnesium salts._ magnesium chloride, and to some extent magnesium sulphate, undergo hydrolysis when superheated in solution, and the magnesium hydroxide, being sparingly soluble, precipitates: mgcl_{ } + h_{ }o <--> mg(oh)_{ } + hcl. this scale adheres tightly to the boiler in compact layers and, being a non-conductor of heat, causes much waste of fuel. it is very difficult to remove, owing to its hardness and resistance to reagents. thick scale sometimes cracks, and the water coming in contact with the overheated iron occasions an explosion. moreover, the acids set free in the hydrolysis of the magnesium salts attack the iron tubes and rapidly corrode them. these causes combine to make the formation of scale a matter which occasions much trouble in cases where hard water is used in steam boilers. water containing such salts should be softened, therefore, before being used in boilers. ~magnesium sulphate~ (_epsom salt_) (mgso_{ }· h_{ }o). like the chloride, magnesium sulphate is found rather commonly in springs and in salt deposits. a very large deposit of the almost pure salt has been found in wyoming. its name was given to it because of its abundant occurrence in the waters of the epsom springs in england. magnesium sulphate has many uses in the industries. it is used to a small extent in the preparation of sodium and potassium sulphates, as a coating for cotton cloth, in the dye industry, in tanning, and in the manufacture of paints and laundry soaps. to some extent it is used in medicine. ~magnesium silicates.~ many silicates containing magnesium are known and some of them are important substances. serpentine, asbestos, talc, and meerschaum are examples of such substances. zinc ~occurrence.~ zinc never occurs free in nature. its compounds have been found in many different countries, but it is not a constituent of common rocks and minerals, and its occurrence is rather local and confined to definite deposits or pockets. it occurs chiefly in the following ores: sphalerite (zinc blende) zns. zincite zno. smithsonite znco_{ }. willemite zn_{ }sio_{ }. franklinite zno·fe_{ }o_{ }. one fourth of the world's output of zinc comes from the united states, missouri being the largest producer. ~metallurgy.~ the ores employed in the preparation of zinc are chiefly the sulphide, oxide, and carbonate. they are first roasted in the air, by which process they are changed into oxide: znco_{ } = zno + co_{ }, zns + o = zno + so_{ }. the oxide is then mixed with coal dust, and the mixture is heated in earthenware muffles or retorts, natural gas being used as fuel in many cases. the oxide is reduced by this means to the metallic state, and the zinc, being volatile at the high temperature reached, distills and is collected in suitable receivers. at first the zinc collects in the form of fine powder, called zinc dust or flowers of zinc, recalling the formation under similar conditions of flowers of sulphur. later, when the whole apparatus has become warm, the zinc condenses to a liquid in the receiver, from which it is drawn off into molds. commercial zinc often contains a number of impurities, especially carbon, arsenic, and iron. ~physical properties.~ pure zinc is a rather heavy bluish-white metal with a high luster. it melts at about °, and if heated much above this temperature in the air takes fire and burns with a very bright bluish flame. it boils at about ° and can therefore be purified by distillation. many of the physical properties of zinc are much influenced by the temperature and previous treatment of the metal. when cast into ingots from the liquid state it becomes at ordinary temperatures quite hard, brittle, and highly crystalline. at ° it is malleable and can be rolled into thin sheets; at higher temperatures it again becomes very brittle. when once rolled into sheets it retains its softness and malleability at ordinary temperatures. when melted and poured into water it forms thin brittle flakes, and in this condition is called granulated or mossy zinc. ~chemical properties.~ zinc is tarnished superficially by moist air, but beyond this is not affected by it. it does not decompose even boiling water. when the metal is quite pure, sulphuric and hydrochloric acids have scarcely any action upon it; when, however, it contains small amounts of other metals such as magnesium or arsenic, or when it is merely in contact with metallic platinum, brisk action takes place and hydrogen is evolved. for this reason, when pure zinc is used in the preparation of hydrogen a few drops of platinum chloride are often added to the solution to assist the chemical action. nitric acid dissolves the metal readily, with the formation of zinc nitrate and various reduction products of nitric acid. the strong alkalis act upon zinc and liberate hydrogen: zn + koh = zn(ok)_{ } + h. the product of this reaction, potassium zincate, is a salt of zinc hydroxide, which is thus seen to have acid properties, though it usually acts as a base. ~uses of zinc.~ the metal has many familiar uses. rolled into sheets, it is used as a lining for vessels which are to contain water. as a thin film upon the surface of iron (galvanized iron) it protects the iron from rust. iron is usually galvanized by dipping it into a bath of melted zinc, but electrical methods are also employed. zinc plates are used in many forms of electrical batteries. in the laboratory zinc is used in the preparation of hydrogen, and in the form of zinc dust as a reducing agent. one of the largest uses of zinc is in the manufacture of alloys. brass, an alloy of zinc and copper, is the most important of these; german silver, consisting of copper, zinc, and nickel, has many uses; various bronzes, coin metals, and bearing metals also contain zinc. its ability to alloy with silver finds application in the separation of silver from lead (see silver). ~compounds of zinc.~ in general, the compounds of zinc are similar in formula and appearance to those of magnesium, but in other properties they often differ markedly. a number of them have value in commercial ways. ~zinc oxide~ (_zinc white_) (zno). zinc oxide occurs in impure form in nature, being colored red by manganese and iron compounds. it can be prepared just like magnesium oxide, but is more often made by burning the metal. zinc oxide is a pure white powder which becomes yellow on heating and regains its white color when cold. it is much used as a white pigment in paints, under the name of zinc white, and has the advantage over white lead in that it is not changed in color by sulphur compounds, while lead turns black. it is also used in the manufacture of rubber goods. ~commercial preparation of zinc oxide.~ commercially it is often made from franklinite in the following way. the franklinite is mixed with coal and heated to a high temperature in a furnace, by which process the zinc is set free and converted into vapor. as the vapor leaves the furnace through a conduit it meets a current of air and takes fire in it, forming zinc oxide. the oxide passes on and is filtered from the air through canvas bags, which allow the air to pass but retain the oxide. it is thus made by burning the metal, though the metal is not actually isolated in the process. ~soluble salts.~ the soluble salts of zinc can be made by dissolving the metal or the oxide in the appropriate acid. they are all somewhat poisonous. the sulphate and chloride are the most familiar. ~zinc sulphate~ (_white vitriol_) (znso_{ }· h_{ }o). this salt is readily crystallized from strong solutions in transparent colorless crystals. it is prepared commercially by careful roasting of the sulphide: zns + o = znso_{ }. ~zinc chloride~ (zncl_{ }·h_{ }o). when a solution of zinc chloride is slowly evaporated a salt of the composition zncl_{ }·h_{ }o crystallizes out. if the water is completely expelled by heat and the residue distilled, the anhydrous chloride is obtained and may be cast into sticks or broken into lumps. in this distillation, just as in heating magnesium chloride, some of the chloride is decomposed: zncl_{ }·h_{ }o = zno + hcl. the anhydrous chloride has a great affinity for water, and is used as a dehydrating agent. it is also a germicide, and wood which is to be exposed to conditions which favor decay, as, for example, railroad ties, is often soaked in solutions of this salt. ~insoluble compounds.~ the insoluble compounds of zinc can be prepared by precipitation. the most important are the sulphide, carbonate, and hydroxide. ~zinc sulphide~ (zns). this substance occurs as the mineral sphalerite, and is one of the most valued ores of zinc. very large deposits occur in southwestern missouri. the natural mineral is found in large crystals or masses, resembling resin in color and luster. when prepared by precipitation the sulphide is white. cadmium ~the element.~ this element occurs in small quantities in some zinc ores. in the course of the metallurgy of zinc the cadmium compounds undergo chemical changes quite similar to those of the zinc compounds, and the cadmium distills along with the zinc. being more volatile, it comes over with the first of the zinc and is prepared from the first portions of the distillate by special methods of purification. the element very closely resembles zinc in most respects. some of its alloys are characterized by having low melting points. ~compounds of cadmium.~ among the compounds of cadmium may be mentioned the chloride (cdcl_{ }· h_{ }o), the sulphate ( cdso_{ }· h_{ }o), and the nitrate (cd(no_{ })_{ }· h_{ }o). these are white solids soluble in water. the sulphide (cds) is a bright yellow substance which is insoluble in water and in dilute acids. it is valuable as a pigment in fine paints. exercises . what properties have the metals of the magnesium family in common with the alkali metals; with the alkaline-earth metals? . compare the action of the metals of the magnesium group on water with that of the other metals studied. . what metals already studied are prepared by electrolysis? . write the equations representing the reactions between magnesium and hydrochloric acid; between magnesium and dilute sulphuric acid. . what property of magnesium was taken advantage of in the isolation of argon? . with phosphoric acid magnesium forms salts similar to those of calcium. write the names and formulas of the corresponding magnesium salts. . how could you distinguish between magnesium chloride and magnesium sulphate? between glauber's salts and epsom salts? . what weight of carnallite is necessary in the preparation of g. of magnesium? . account for the fact that paints made of zinc oxide are not colored by hydrosulphuric acid. . what hydroxide studied, other than zinc hydroxide, has both acid and basic properties? . write equations showing how the following compounds of zinc may be obtained from metallic zinc: the oxide, chloride, nitrate, carbonate, sulphate, sulphide, hydroxide. chapter xxvi the aluminium family ~the family.~ the element aluminium is the most abundant member of the group of elements known as the aluminium family; indeed, the other members of the family--gallium, indium, and thallium--are of such rare occurrence that they need not be separately described. the elements of the family are ordinarily trivalent, so that the formulas for their compounds differ from those of the elements so far studied. their hydroxides are practically insoluble in water and are very weak bases; indeed, the bases are so weak that their salts are often hydrolyzed into free base and free acid in solution. the salts formed from these bases usually contain water of crystallization, which cannot be driven off without decomposing them more or less. the trivalent metals, which in addition to aluminium include also iron and chromium, are sometimes called the _earth metals_. the name refers to the earthy appearance of the oxides of these metals, and to the fact that many earths, soils, and rocks are composed in part of these substances. aluminium ~occurrence.~ aluminium never occurs in the free state in nature, owing to its great affinity for oxygen. in combined form, as oxides, silicates, and a few other salts, it is both abundant and widely distributed, being an essential constituent of all soils and of most rocks excepting limestone and sandstone. cryolite (na_{ }alf_{ }), found in greenland, and bauxite, which is an aluminium hydroxide usually mixed with some iron hydroxide, are important minerals. it is estimated that aluminium composes about % of the earth's crust. in the industries the metal is called aluminum, but its chemical name is aluminium. [illustration: fig. ] ~preparation.~ aluminium was first prepared by wöhler, in , by heating anhydrous aluminium chloride with potassium: alcl_{ } + k = kcl + al. this method was tried after it was found impossible to reduce the oxide of aluminium with carbon. the metal possessed such interesting properties and promised to be so useful that many efforts were made to devise a cheap way of preparing it. the method which has proved most successful consists in the electrolysis of the oxide dissolved in melted cryolite. ~metallurgy.~ an iron box a (fig. ) about eight feet long and six feet wide is connected with a powerful generator in such a way as to serve as the cathode upon which the aluminium is deposited. three or four rows of carbon rods b dip into the box and serve as the anodes. the box is partially filled with cryolite and the current is turned on, generating enough heat to melt the cryolite. aluminium oxide is then added, and under the influence of the electric current it decomposes into aluminium and oxygen. the temperature is maintained above the melting point of aluminium, and the liquid metal, being heavier than cryolite, sinks to the bottom of the vessel, from which it is tapped off from time to time through the tap hole c. the oxygen in part escapes as gas, and in part combines with the carbon of the anode, the combustion being very brilliant. the process is carried on at niagara falls. the largest expense in the process, apart from the cost of electrical energy, is the preparation of aluminium oxide free from other oxides, for most of the oxide found in nature is too impure to serve without refining. bauxite is the principal ore used as a source of the aluminium because it is converted into pure oxide without great difficulty. since common clay is a silicate of aluminium and is everywhere abundant, it might be expected that this would be utilized in the preparation of aluminium. it is, however, very difficult to extract the aluminium from a silicate, and no practical method has been found which will accomplish this. ~physical properties.~ aluminium is a tin-white metal which melts at ° and is very light, having a density of . . it is stiff and strong, and with frequent annealing can be rolled into thin foil. it is a good conductor of heat and electricity, though not so good as copper for a given cross section of wire. ~chemical properties.~ aluminium is not perceptibly acted on by boiling water, and moist air merely dims its luster. further action is prevented in each case by the formation of an extremely thin film of oxide upon the surface of the metal. it combines directly with chlorine, and when heated in oxygen burns with great energy and the liberation of much heat. it is therefore a good reducing agent. hydrochloric acid acts upon it, forming aluminium chloride: nitric acid and dilute sulphuric acid have almost no action on it, but hot, concentrated sulphuric acid acts upon it in the same way as upon copper: al + h_{ }so_{ } = al_{ }(so_{ })_{ } + h_{ }o + so_{ }. alkalis readily attack the metal, liberating hydrogen, as in the case of zinc: al + koh = al(ok)_{ } + h. salt solutions, such as sea water, corrode the metal rapidly. it alloys readily with other metals. ~uses of aluminium.~ these properties suggest many uses for the metal. its lightness, strength, and permanence make it well adapted for many construction purposes. these same properties have led to its extensive use in the manufacture of cooking utensils. the fact that it is easily corroded by salt solutions is, however, a disadvantage. owing to its small resistance to electrical currents, it is replacing copper to some extent in electrical construction, especially for trolley and power wires. some of its alloys have very valuable properties, and a considerable part of the aluminium manufactured is used for this purpose. aluminium bronze, consisting of about % copper and % aluminium, has a pure golden color, is strong and malleable, is easily cast, and is permanent in the air. considerable amounts of aluminium steel are also made. ~goldschmidt reduction process.~ aluminium is frequently employed as a powerful reducing agent, many metallic oxides which resist reduction by carbon being readily reduced by it. the aluminium in the form of a fine powder is mixed with the metallic oxide, together with some substance such as fluorspar to act as a flux. the mixture is ignited, and the aluminium unites with the oxygen of the metallic oxide, liberating the metal. this collects in a fused condition under the flux. an enormous quantity of heat is liberated in this reaction, and a temperature as high as ° can be reached. the heat of the reaction is turned to practical account in welding car rails, steel castings, and in similar operations where an intense local heat is required. a mixture of aluminium with various metallic oxides, ready prepared for such purposes, is sold under the name of _thermite_. [illustration: fig. ] ~preparation of chromium by the goldschmidt method.~ a mixture of chromium oxide and aluminium powder is placed in a hessian crucible (a, fig. ), and on top of it is placed a small heap b of a mixture of sodium peroxide and aluminium, into which is stuck a piece of magnesium ribbon c. powdered fluorspar d is placed around the sodium peroxide, after which the crucible is set on a pan of sand and the magnesium ribbon ignited. when the flame reaches the sodium peroxide mixture combustion of the aluminium begins with almost explosive violence, so that great care must be taken in the experiment. the heat of this combustion starts the reaction in the chromium oxide mixture, and the oxide is reduced to metallic chromium. when the crucible has cooled a button of chromium will be found in the bottom. ~aluminium oxide~ (al_{ }o_{ }). this substance occurs in several forms in nature. the relatively pure crystals are called corundum, while emery is a variety colored dark gray or black, usually with iron compounds. in transparent crystals, tinted different colors by traces of impurities, it forms such precious stones as the sapphire, oriental ruby, topaz, and amethyst. all these varieties are very hard, falling little short of the diamond in this respect. chemically pure aluminium oxide can be made by igniting the hydroxide, when it forms an amorphous white powder: al(oh)_{ } = al_{ }o_{ } + h_{ }o. the natural varieties, corundum and emery, are used for cutting and grinding purposes; the purest forms, together with the artificially prepared oxide, are largely used in the preparation of aluminium. ~aluminium hydroxide~ (al(oh)_{ }). the hydroxide occurs in nature as the mineral hydrargyllite, and in a partially dehydrated form called bauxite. it can be prepared by adding ammonium hydroxide to any soluble aluminium salt, forming a semi-transparent precipitate which is insoluble in water but very hard to filter. it dissolves in most acids to form soluble salts, and in the strong bases to form aluminates, as indicated in the equations al(oh)_{ } + hcl = alcl_{ } + h_{ }o, al(oh)_{ } + naoh = al(ona)_{ } + h_{ }o. it may act, therefore, either as a weak base or as a weak acid, its action depending upon the character of the substances with which it is in contact. when heated gently the hydroxide loses part of its hydrogen and oxygen according to the equation al(oh)_{ } = alo·oh + h_{ }o. this substance, the formula of which is frequently written halo_{ }, is a more pronounced acid than is the hydroxide, and its salts are frequently formed when aluminium compounds are fused with alkalis. the magnesium salt mg(alo_{ })_{ } is called spinel, and many other of its salts, called aluminates, are found in nature. when heated strongly the hydroxide is changed into oxide, which will not again take up water on being moistened. ~mordants and dyeing.~ aluminium hydroxide has the peculiar property of combining with many soluble coloring materials and forming insoluble products with them. on this account it is often used as a filter to remove objectionable colors from water. this property also leads to its wide use in the dye industry. many dyes will not adhere to natural fibers such as cotton and wool, that is, will not "dye fast." if, however, the cloth to be dyed is soaked in a solution of aluminium compounds and then treated with ammonia, the aluminium salts which have soaked into the fiber will be converted into the hydroxide, which, being insoluble, remains in the body of it. if the fiber is now dipped into a solution of the dye, the aluminium hydroxide combines with the color material and fastens, or "fixes," it upon the fiber. a substance which serves this purpose is called a _mordant_, and aluminium salts, particularly the acetate, are used in this way. ~aluminium chloride~ (alcl_{ }· h_{ }o). this substance is prepared by dissolving the hydroxide in hydrochloric acid and evaporating to crystallization. when heated it is converted into the oxide, resembling magnesium in this respect: (alcl_{ }· h_{ }o) = al_{ }o_{ } + hcl + h_{ }o. the anhydrous chloride, which has some important uses, is made by heating aluminium turnings in a current of chlorine. ~alums.~ aluminium sulphate can be prepared by the action of sulphuric acid upon aluminium hydroxide. it has the property of combining with the sulphates of the alkali metals to form compounds called _alums_. thus, with potassium sulphate the reaction is expressed by the equation k_{ }so_{ } + al_{ }(so_{ })_{ } + h_{ }o = (kal(so_{ })_{ }· h_{ }o). under similar conditions ammonium sulphate yields ammonium alum: (nh_{ })_{ }so_{ } + al_{ }(so_{ })_{ } + h_{ }o = (nh_{ }al(so_{ })_{ }· h_{ }o). other trivalent sulphates besides aluminium sulphate can form similar compounds with the alkali sulphates, and these compounds are also called alums, though they contain no aluminium. they all crystallize in octahedra and contain twelve molecules of water of crystallization. the alums most frequently prepared are the following: potassium alum kal(so_{ })_{ }· h_{ }o. ammonium alum nh_{ }al(so_{ })_{ }· h_{ }o. ammonium iron alum nh_{ }fe(so_{ })_{ }· h_{ }o. potassium chrome alum kcr(so_{ })_{ }· h_{ }o. an alum may therefore be regarded as a compound derived from two molecules of sulphuric acid, in which one hydrogen atom has been displaced by the univalent alkali atom, and the other three hydrogen atoms by an atom of one of the trivalent metals, such as aluminium, iron, or chromium. very large, well-formed crystals of an alum can be prepared by suspending a small crystal by a thread in a saturated solution of the alum, as shown in fig. . the small crystal slowly grows and assumes a very perfect form. [illustration: fig. ] ~other salts of aluminium.~ while aluminium hydroxide forms fairly stable salts with strong acids, it is such a weak base that its salts with weak acids are readily hydrolyzed. thus, when an aluminium salt and a soluble carbonate are brought together in solution we should expect to have aluminium carbonate precipitated according to the equation na_{ }co_{ } + alcl_{ } = al_{ }(co_{ })_{ } + nacl. but if it is formed at all, it instantly begins to hydrolyze, the products of the hydrolysis being aluminium hydroxide and carbonic acid, al_{ }(co_{ })_{ } + h_{ }o = al(oh)_{ } + h_{ }co_{ }. similarly a soluble sulphide, instead of precipitating aluminium sulphide (al_{ }s_{ }), precipitates aluminium hydroxide; for hydrogen sulphide is such a weak acid that the aluminium sulphide at first formed hydrolyzes at once, forming aluminium hydroxide and hydrogen sulphide: na_{ }s + alcl_{ } + h_{ }o = al(oh)_{ } + nacl + h_{ }s. ~alum baking powders.~ it is because of the hydrolysis of aluminium carbonate that alum is used as a constituent of some baking powders. the alum baking powders consist of a mixture of alum and sodium hydrogen carbonate. when water is added the two compounds react together, forming aluminium carbonate, which hydrolyzes into aluminium hydroxide and carbonic acid. the carbon dioxide from the latter escapes through the dough and in so doing raises it into a porous condition, which is the end sought in the use of a baking powder. ~aluminium silicates.~ one of the most common constituents of rocks is feldspar (kalsi_{ }o_{ }), a mixed salt of potassium and aluminium with the polysilicic acid (h_{ }si_{ }o_{ }). under the influence of moisture, carbon dioxide, and changes of temperature this substance is constantly being broken down into soluble potassium compounds and hydrated aluminium silicate. this compound has the formula al_{ }si_{ }o_{ }· h_{ }o. in relatively pure condition it is called kaolin; in the impure state, mixed with sand and other substances, it forms common clay. mica is another very abundant mineral, having varying composition, but being essentially of the formula kalsio_{ }. serpentine, talc, asbestos, and meerschaum are important complex silicates of aluminium and magnesium, and granite is a mechanical mixture of quartz, feldspar, and mica. ~ceramic industries.~ many articles of greatest practical importance, ranging from the roughest brick and tile to the finest porcelain and chinaware, are made from some form of kaolin, or clay. no very precise classification of such ware can be made, as the products vary greatly in properties, depending upon the materials used and the treatment during manufacture. porcelain is made from the purest kaolin, to which must be added some less pure, plastic kaolin, since the pure substance is not sufficiently plastic. there is also added some more fusible substance, such as feldspar, gypsum, or lime, together with some pure quartz. the constituents must be ground very fine, and when thoroughly mixed and moistened must make a plastic mass which can be molded into any desired form. the article molded from such materials is then burned. in this process the article is slowly heated to a point at which it begins to soften and almost fuse, and then it is allowed to cool slowly. at this stage, a very thin vessel will be translucent and have an almost glassy fracture; if, however, it is somewhat thicker, or has not been heated quite so high, it will still be porous, and partly on this account and partly to improve its appearance it is usually glazed. glazing is accomplished by spreading upon the object a thin layer of a more fusible mixture of the same materials as compose the body of the object itself, and again heating until the glaze melts to a transparent glassy coating upon the surface of the vessel. in some cases fusible mixtures of quite different composition from that used in fashioning the vessel may be used as a glaze. oxides of lead, zinc, and barium are often used in this way. when less carefully selected materials are used, or quite thick vessels are made, various grades of stoneware are produced. the inferior grades are glazed by throwing a quantity of common salt into the kiln towards the end of the first firing. in the form of vapor the salt attacks the surface of the baked ware and forms an easily fusible sodium silicate upon it, which constitutes a glaze. vitrified bricks, made from clay or ground shale, are burned until the materials begin to fuse superficially, forming their own glaze. other forms of brick and tile are not glazed at all, but are left porous. the red color of ordinary brick and earthenware is due to an oxide of iron formed in the burning process. the decorations upon china are sometimes painted upon the baked ware and then glazed over, and sometimes painted upon the glaze and burned in by a third firing. care must be taken to use such pigments as are not affected by a high heat and do not react chemically with the constituents of the baked ware or the glaze. exercises . what metals and compounds studied are prepared by electrolysis? . write the equation for the reaction between aluminium and hydrochloric acid; between aluminium and sulphuric acid (in two steps). . what hydroxides other than aluminium hydroxide have both acid and basic properties? . write equations showing the methods used for preparing aluminium hydroxide and sulphate. . write the general formula of an alum, representing an atom of an alkali metal by x and an atom of a trivalent metal by y. . what is meant by the term polysilicic acid, as used in the discussion of aluminium silicates? . compare the properties of the hydroxides of the different groups of metals so far studied. . in what respects does aluminium oxide differ from calcium oxide in properties? . supposing bauxite to be % aluminium hydroxide, what weight of it is necessary for the preparation of kg. of aluminium? chapter xxvii the iron family =================================================================== | | | | | | | | | approximate | | symbol | atomic | density | melting | oxides | | weight | | point | ________|________|________|_________|_____________|________________ | | | | | iron | fe | . | . | ° | feo, fe_{ }o_{ } cobalt | co | . | . | ° | coo, co_{ }o_{ } nickel | ni | . | . | ° | nio, ni_{ }o_{ } =================================================================== ~the family.~ the elements iron, cobalt, and nickel form a group in the eighth column of the periodic table. the atomic weights of the three are very close together, and there is not the same gradual gradation in the properties of the three elements that is noticed in the families in which the atomic weights differ considerably in magnitude. the elements are very similar in properties, the similarity being so great in the case of nickel and cobalt that it is difficult to separate them by chemical analysis. the elements occur in nature chiefly as oxides and sulphides, though they have been found in very small quantities in the native state, usually in meteorites. their sulphides, carbonates, and phosphates are insoluble in water, the other common salts being soluble. their salts are usually highly colored, those of iron being yellow or light green as a rule, those of nickel darker green, while cobalt salts are usually rose colored. the metals are obtained by reducing the oxides with carbon. iron ~occurrence.~ the element iron has long been known, since its ores are very abundant and it is not difficult to prepare the metal from them in fairly pure condition. it occurs in nature in many forms of combination,--in large deposits as oxides, sulphides, and carbonates, and in smaller quantities in a great variety of minerals. indeed, very few rocks or soils are free from small amounts of iron, and it is assimilated by plants and animals playing an important part in life processes. ~metallurgy.~ it will be convenient to treat of the metallurgy of iron under two heads,--materials used and process. ~materials used.~ four distinct materials are used in the metallurgy of iron: . _iron ore._ the ores most frequently used in the metallurgy of iron are the following: hematite fe_{ }o_{ }. magnetite fe_{ }o_{ }. siderite feco_{ }. limonite fe_{ }o_{ }· h_{ }o. these ores always contain impurities, such as silica, sulphides, and earthy materials. all ores, with the exception of the oxides, are first roasted to expel any water and carbon dioxide present and to convert any sulphide into oxide. . _carbon._ carbon in some form is necessary both as a fuel and as a reducing agent. in former times wood charcoal was used to supply the carbon, but now anthracite coal or coke is almost universally used. . _hot air._ to maintain the high temperature required for the reduction of iron a very active combustion of fuel is necessary. this is secured by forcing a strong blast of hot air into the lower part of the furnace during the reduction process. . _flux._ (a) _purpose of the flux._ all the materials which enter the furnace must leave it again either in the form of gases or as liquids. the iron is drawn off as the liquid metal after its reduction. to secure the removal of the earthy matter charged into the furnace along with the ore, materials are added to the charge which will, at the high temperature of the furnace, combine with the impurities in the ore, forming a liquid. the material added for this purpose is called the _flux_; the liquid produced from the flux and the ore is called _slag_. (b) _function of the slag._ while the main purpose of adding flux to the charge is to remove from the furnace in the form of liquid slag the impurities originally present in the ore, the slag thus produced serves several other functions. it keeps the contents of the furnace in a state of fusion, thus preventing clogging, and makes it possible for the small globules of iron to run together with greater ease into one large liquid mass. (c) _character of the slag._ the slag is really a kind of readily fusible glass, being essentially a calcium-aluminium silicate. the ore usually contains silica and some aluminium compounds, so that limestone (which also contains some silica and aluminium) is added to furnish the calcium required for the slag. if the ore and the limestone do not contain a sufficient amount of silica and aluminium for the formation of the slag, these ingredients are added in the form of sand and feldspar. in the formation of slag from these materials the ore is freed from the silica and aluminium which it contained. [illustration: fig. ] ~process.~ the reduction of iron is carried out in large towers called blast furnaces. the blast furnace (fig. ) is usually about ft. high and ft. in internal diameter at its widest part, narrowing somewhat both toward the top and toward the bottom. the walls are built of steel and lined with fire-brick. the base is provided with a number of pipes t, called tuyers, through which hot air can be forced into the furnace. the tuyers are supplied from a large pipe s, which circles the furnace as a girdle. the base has also an opening m, through which the liquid metal can be drawn off from time to time, and a second opening p, somewhat above the first, through which the excess of slag overflows. the top is closed by a movable trap c and c, called the cone, and through this the materials to be used are introduced. the gases produced by the combustion of the fuel and the reduction of the ore, together with the nitrogen of the air forced in through the tuyers, escape through pipes d, called downcomer pipes, which leave the furnace near the top. these gases are very hot and contain combustible substances, principally carbon monoxide; they are therefore utilized as fuel for the engines and also to heat the blast admitted through the tuyers. the lower part of the furnace is often furnished with a water jacket. this consists of a series of pipes w built into the walls, through which water can be circulated to reduce their temperature. charges consisting of coke (or anthracite coal), ore, and flux in proper proportions are introduced into the furnace at intervals through the trap top. the coke burns fiercely in the hot-air blast, giving an intense heat and forming carbon monoxide. the ore, working down in the furnace as the coke burns, becomes very hot, and by the combined reducing action of the carbon and carbon monoxide is finally reduced to metal and collects as a liquid in the bottom of the furnace, the slag floating on the molten iron. after a considerable amount of the iron has collected the slag is drawn off through the opening p. the molten iron is then drawn off into large ladles and taken to the converters for the manufacture of steel, or it is run out into sand molds, forming the bars or ingots called "pigs." the process is a continuous one, and when once started it is kept in operation for months or even years without interruption. it seems probable that the first product of combustion of the carbon, at the point where the tuyers enter the furnace, is carbon dioxide. this is at once reduced to carbon monoxide by the intensely heated carbon present, so that no carbon dioxide can be found at that point. for practical purposes, therefore, we may consider that carbon monoxide is the first product of combustion. ~varieties of iron.~ the iron of commerce is never pure, but contains varying amounts of other elements, such as carbon, silicon, phosphorus, sulphur, and manganese. these elements may either be alloyed with the iron or may be combined with it in the form of definite chemical compounds. in some instances, as in the case of graphite, the mixture may be merely mechanical. the properties of iron are very much modified by the presence of these elements and by the form of the combination between them and the iron; the way in which the metal is treated during its preparation has also a marked influence on its properties. owing to these facts many kinds of iron are recognized in commerce, the chief varieties being cast iron, wrought iron, and steel. ~cast iron.~ the product of the blast furnace, prepared as just described, is called cast iron. it varies considerably in composition, usually containing from to % iron, the remainder being largely carbon and silicon with smaller amounts of phosphorus and sulphur. when the melted metal from the blast furnace is allowed to cool rapidly most of the carbon remains in chemical combination with the iron, and the product is called white cast iron. if the cooling goes on slowly, the carbon partially separates as flakes of graphite which remain scattered through the metal. this product is softer and darker in color and is called gray cast iron. ~properties of cast iron.~ cast iron is hard, brittle, and rather easily melted (melting point about °). it cannot be welded or forged into shape, but is easily cast in sand molds. it is strong and rigid but not elastic. it is used for making castings and in the manufacture of other kinds of iron. cast iron, which contains the metal manganese up to the extent of %, together with about % carbon, is called spiegel iron; when more than this amount of manganese is present the product is called ferromanganese. the ferromanganese may contain as much as % manganese. these varieties of cast iron are much used in the manufacture of steel. ~wrought iron.~ wrought iron is made by burning out from cast iron most of the carbon, silicon, phosphorus, and sulphur which it contains. the process is called _puddling_, and is carried out in a furnace constructed as represented in fig. . the floor of the furnace f is somewhat concave and is made of iron covered with a layer of iron oxide. a long flame produced by burning fuel upon the grate g is directed downward upon the materials placed upon the floor, and the draught is maintained by the stack s. a is the ash box and t a trap to catch the solid particles carried into the stack by the draught. upon the floor of the furnace is placed the charge of cast iron, together with a small amount of material to make a slag. the iron is soon melted by the flame directed upon it, and the sulphur, phosphorus, and silicon are oxidized by the iron oxide, forming oxides which are anhydrides of acids. these combine with the flux, which is basic in character, or with the iron oxide, to form a slag. the carbon is also oxidized and escapes as carbon dioxide. as the iron is freed from other elements it becomes pasty, owing to the higher melting point of the purer iron, and in this condition forms small lumps which are raked together into a larger one. the large lump is then removed from the furnace and rolled or hammered into bars, the slag; being squeezed out in this process. the product has a stranded or fibrous structure. _the product of a puddling furnace is called wrought iron._ [illustration: fig. ] ~properties of wrought iron.~ wrought iron is nearly pure iron, usually containing about . % of other substances, chiefly carbon. it is tough, malleable, and fibrous in structure. it is easily bent and is not elastic, so it will not sustain pressure as well as cast iron. it can be drawn out into wire of great tensile strength, and can also be rolled into thin sheets (sheet iron). it melts at a high temperature (about °) and is therefore forged into shape rather than cast. if melted, it would lose its fibrous structure and be changed into a low carbon steel. ~steel.~ steel, like wrought iron, is made by burning out from cast iron a part of the carbon, silicon, phosphorus, and sulphur which it contains; but the process is carried out in a very different way, and usually, though not always, more carbon is found in steel than in wrought iron. a number of processes are in use, but nearly all the steel of commerce is made by one of the two following methods. [illustration: fig. ] . _bessemer process._ this process, invented about , is by far the most important. it is carried out in great egg-shaped crucibles called converters (fig. ), each one of which will hold as much as tons of steel. the converter is built of steel and lined with silica. it is mounted on trunnions t, so that it can be tipped over on its side for filling and emptying. one of the trunnions is hollow and a pipe p connects it with an air chamber a, which forms a false bottom to the converter. the true bottom is perforated, so that air can be forced in by an air blast admitted through the trunnion and the air chamber. white-hot, liquid cast iron from a blast furnace is run into the converter through its open necklike top o, the converter being tipped over to receive it; the air blast is then turned on and the converter rotated to a nearly vertical position. the elements in the iron are rapidly oxidized, the silicon first and then the carbon. the heat liberated in the oxidation, largely due to the combustion of silicon, keeps the iron in a molten condition. when the carbon is practically all burned out cast iron or spiegel iron, containing a known percentage of carbon, is added and allowed to mix thoroughly with the fluid. the steel is then run into molds, and the ingots so formed are hammered or rolled into rails or other forms. by this process any desired percentage of carbon can be added to the steel. low carbon steel, which does not differ much from wrought iron in composition, is now made in this way and is replacing the more expensive wrought iron for many purposes. ~the basic lining process.~ when the cast iron contains phosphorus and sulphur in appreciable quantities, the lining of the converter is made of dolomite. the silicon and carbon burn, followed by the phosphorus and sulphur, and the anhydrides of acids so formed combine with the basic oxides of the lining, forming a slag. this is known as the basic lining process. . _open-hearth process._ in this process a furnace very similar to a puddling furnace is used, but it is lined with silica or dolomite instead of iron oxide. a charge consisting in part of old scrap iron of any kind and in part of cast iron is melted in the furnace by a gas flame. the silicon and carbon are slowly burned away, and when a test shows that the desired percentage of carbon is present the steel is run out of the furnace. _steel may therefore be defined as the product of the bessemer or open-hearth processes._ ~properties of steel.~ bessemer and open-hearth steel usually contain only a few tenths of a per cent of carbon, less than . % silicon, and a very much smaller quantity of phosphorus and sulphur. any considerable amount of the latter elements makes the steel brittle, the sulphur affecting it when hot, and the phosphorus when cold. this kind of steel is used for structural purposes, for rails, and for nearly all large steel articles. it is hard, malleable, ductile, and melts at a lower temperature than wrought iron. it can be forged into shape, rolled into sheets, or cast in molds. ~relation of the three varieties of iron.~ it will be seen that wrought iron is usually very nearly pure iron, while steel contains an appreciable amount of alloy material, chiefly carbon, and cast iron still more of the same substances. it is impossible, however, to assign a given sample of iron to one of these three classes on the basis of its chemical composition alone. a low carbon steel, for example, may contain less carbon than a given sample of wrought iron. the real distinction between the three is the process by which they are made. the product of the blast furnace is cast iron; that of the puddling furnace is wrought iron; that of the bessemer and open-hearth methods is steel. ~tool steel.~ steel designed for use in the manufacture of edged tools and similar articles should be relatively free from silicon and phosphorus, but should contain from . to . % carbon. the percentage of carbon should be regulated by the exact use to which the steel is to be put. steel of this character is usually made in small lots from either bessemer or open-hearth steel in the following way. a charge of melted steel is placed in a large crucible and the calculated quantity of pure carbon is added. the carbon dissolves in the steel, and when the solution is complete the metal is poured out of the crucible. this is sometimes called crucible steel. ~tempering of steel.~ steel containing from . to . % carbon is characterized by the property of "taking temper." when the hot steel is suddenly cooled by plunging it into water or oil it becomes very hard and brittle. on carefully reheating this hard form it gradually becomes less brittle and softer, so that by regulating the temperature to which steel is reheated in tempering almost any condition of temper demanded for a given purpose, such as for making springs or cutting tools, can be obtained. ~steel alloys.~ it has been found that small quantities of a number of different elements when alloyed with steel very much improve its quality for certain purposes, each element having a somewhat different effect. among the elements most used in this connection are manganese, silicon, chromium, nickel, tungsten, and molybdenum. the usual method for adding these elements to the steel is to first prepare a very rich alloy of iron with the element to be added, and then add enough of this alloy to a large quantity of the steel to bring it to the desired composition. a rich alloy of iron with manganese or silicon can be prepared directly in a blast furnace, and is called ferromanganese or ferrosilicon. similar alloys of iron with the other elements mentioned are made in an electric furnace by reducing the mixed oxides with carbon. ~pure iron.~ perfectly pure iron is rarely prepared and is not adapted to commercial uses. it can be made by reducing pure oxide of iron in a current of hydrogen at a high temperature. prepared in this way it forms a black powder; when melted it forms a tin-white metal which is less fusible and more malleable than wrought iron. it is easily acted upon by moist air. ~compounds of iron.~ iron differs from the metals so far studied in that it is able to form two series of compounds in which the iron has two different valences. in the one series the iron is divalent and forms compounds which in formulas and many chemical properties are similar to the corresponding zinc compounds. it can also act as a trivalent metal, and in this condition forms salts similar to those of aluminium. those compounds in which the iron is divalent are known as _ferrous_ compounds, while those in which it is trivalent are known as _ferric_. ~oxides of iron.~ iron forms several oxides. ferrous oxide (feo) is not found in nature, but can be prepared artificially in the form of a black powder which easily takes up oxygen, forming ferric oxide: feo + o = fe_{ }o_{ }. ferric oxide is the most abundant ore of iron and occurs in great deposits, especially in the lake superior region. it is found in many mineral varieties which vary in density and color, the most abundant being hematite, which ranges in color from red to nearly black. when prepared by chemical processes it forms a red powder which is used as a paint pigment (venetian red) and as a polishing powder (rouge). magnetite has the formula fe_{ }o_{ } and is a combination of feo and fe_{ }o_{ }. it is a very valuable ore, but is less abundant than hematite. it is sometimes called magnetic oxide of iron, or lodestone, since it is a natural magnet. ~ferrous salts.~ these salts are obtained by dissolving iron in the appropriate acid, or, when insoluble, by precipitation. they are usually light green in color and crystallize well. in chemical reactions they are quite similar to the salts of magnesium and zinc, but differ from them in one important respect, namely, that they are easily changed into compounds in which the metal is trivalent. thus ferrous chloride treated with chlorine or aqua regia is changed into ferric chloride: fecl_{ } + cl = fecl_{ }. ferrous hydroxide exposed to moist air is rapidly changed into ferric hydroxide: fe(oh)_{ } + h_{ }o + o = fe(oh)_{ }. ~ferrous sulphate~ _(copperas, green vitriol)_ (feso_{ }· h_{ }o). ferrous sulphate is the most familiar ferrous compound. it is prepared commercially as a by-product in the steel-plate mills. steel plates are cleaned by the action of dilute sulphuric acid upon them, and in the process some of the iron dissolves. the liquors are concentrated and the green vitriol separates from them. ~ferrous sulphide~ (fes). ferrous sulphide is sometimes found in nature as a golden-yellow crystalline mineral. it is formed as a black precipitate when a soluble sulphide and an iron salt are brought together in solution: feso_{ } + na_{ }s = fes + na_{ }so_{ }. it can also be made as a heavy dark-brown solid by fusing together the requisite quantities of sulphur and iron. it is obtained as a by-product in the metallurgy of lead: pbs + fe = fes + pb. it is used in the laboratory in the preparation of hydrosulphuric acid: fes + hcl = fecl_{ } + h_{ }s. ~iron disulphide~ _(pyrites)_ (fes_{ }). this substance bears the same relation to ferrous sulphide that hydrogen dioxide does to water. it occurs abundantly in nature in the form of brass-yellow cubical crystals and in compact masses. sometimes the name "fool's gold" is applied to it from its superficial resemblance to the precious metal. it is used in very large quantities as a source of sulphur dioxide in the manufacture of sulphuric acid, since it burns readily in the air, forming ferric oxide and sulphur dioxide: fes_{ } + o = fe_{ }o_{ } + so_{ }. ~ferrous carbonate~ (feco_{ }). this compound occurs in nature as siderite, and is a valuable ore. it will dissolve to some extent in water containing carbon dioxide, just as will calcium carbonate, and waters containing it are called chalybeate waters. these chalybeate waters are supposed to possess certain medicinal virtues and form an important class of mineral waters. ~ferric salts.~ ferric salts are usually obtained by treating an acidified solution of a ferrous salt with an oxidizing agent: fecl_{ } + hcl + o = fecl_{ } + h_{ }o, feso_{ } + h_{ }so_{ } + o = fe_{ }(so_{ })_{ } + h_{ }o. they are usually yellow or violet in color, are quite soluble, and as a rule do not crystallize well. heated with water in the absence of free acid, they hydrolyze even more readily than the salts of aluminium. the most familiar ferric salts are the chloride and the sulphate. ~ferric chloride~ (fecl_{ }). this salt can be obtained most conveniently by dissolving iron in hydrochloric acid and then passing chlorine into the solution: fe + hcl = fecl_{ } + h, fecl_{ } + cl = fecl_{ }. when the pure salt is heated with water it is partly hydrolyzed: fecl_{ } + h_{ }o <--> fe(oh)_{ } + hcl. this is a reversible reaction, however, and hydrolysis can therefore be prevented by first adding a considerable amount of the soluble product of the reaction, namely, hydrochloric acid. ~ferric sulphate~ (fe_{ }(so_{ })_{ }). this compound can be made by treating an acid solution of green vitriol with an oxidizing agent. it is difficult to crystallize and hard to obtain in pure condition. when an alkali sulphate in proper quantity is added to ferric sulphate in solution an iron alum is formed, and is easily obtained in large crystals. the best known iron alums have the formulas kfe(so_{ })_{ }· h_{ }o and nh_{ }fe(so_{ })_{ }· h_{ }o. they are commonly used when a pure ferric salt is required. ~ferric hydroxide~ (fe(oh)_{ }). when solutions of ferric salts are treated with ammonium hydroxide, ferric hydroxide is formed as a rusty-red precipitate, insoluble in water. ~iron cyanides.~ a large number of complex cyanides containing iron are known, the most important being potassium ferrocyanide, or yellow prussiate of potash (k_{ }fec_{ }n_{ }), and potassium ferricyanide, or red prussiate of potash (k_{ }fec_{ }n_{ }). these compounds are the potassium salts of the complex acids of the formulas h_{ }fec_{ }n_{ } and h_{ }fec_{ }n_{ }. ~oxidation of ferrous salts.~ it has just been seen that when a ferrous salt is treated with an oxidizing agent in the presence of a free acid a ferric salt is formed: feso_{ } + h_{ }so_{ } + o = fe_{ }(so_{ })_{ } + h_{ }o. in this reaction oxygen is used up, and the valence of the iron is changed from to . the same equation may be written fe^{++}, so_{ }^{--} + h^{+}, so_{ }^{--} + o = fe^{+++}, so_{ }^{--} + h_{ }o. hydrogen ions have been oxidized to water, while the charge of each iron ion has been increased from to . in a similar way the conversion of ferrous chloride into ferric chloride may be written fe^{++}, cl^{-} + cl = fe^{+++}, + cl^{-}. here again the valence of the iron and the charge on the iron ion has been increased from to , though no oxygen has entered into the reaction. as a rule, however, changes of this kind are brought about by the use of an oxidizing agent, and are called oxidations. the term "oxidation" is applied to all reactions in which the valence of the metal of a compound is increased, or, in other words, to all reactions in which the charge of a cation is increased. ~reduction of ferric salts.~ the changes which take place when a ferric salt is converted into a ferrous salt are the reverse of the ones just described. this is seen in the equation fecl_{ } + h = fecl_{ } + hcl in this reaction the valence of the iron has been changed from to . the same equation may be written fe^{+++}, cl_{-} + h = fe^{++}, + h^{+} + cl_{-} it will be seen that the charge of the iron ions has been diminished from to . since these changes are the reverse of the oxidation changes just considered, they are called reduction reactions. the term "reduction" is applied to all processes in which the valence of the metal of a compound is diminished, or, in other words, to all processes in which the charge on the cations is diminished. nickel and cobalt these elements occur sparingly in nature, usually combined with arsenic or with arsenic and sulphur. both elements have been found in the free state in meteorites. like iron they form two series of compounds, but the salts corresponding to the ferrous salts are the most common, the ones corresponding to the ferric salts being difficult to obtain. thus we have the chlorides nicl_{ }· h_{ }o and cocl_{ }· h_{ }o; the sulphates niso_{ }· h_{ }o and coso_{ }· h_{ }o; the nitrates ni(no_{ })_{ }· h_{ }o and co(no_{ })_{ }· h_{ }o. nickel is largely used as an alloy with other metals. alloyed with copper it forms coin metal from which five-cent pieces are made, with copper and zinc it forms german silver, and when added to steel in small quantities nickel steel is formed which is much superior to common steel for certain purposes. when deposited by electrolysis upon the surface of other metals such as iron, it forms a covering which will take a high polish and protects the metal from rust, nickel not being acted upon by moist air. salts of nickel are usually green. compounds of cobalt fused with glass give it an intensely blue color. in powdered form such glass is sometimes used as a pigment called smalt. cobalt salts, which contain water of crystallization, are usually cherry red in color; when dehydrated they become blue. exercises . in the manufacture of cast iron, why is the air heated before being forced into the furnace? . write the equations showing how each of the following compounds of iron could be obtained from the metal itself: ferrous chloride, ferrous hydroxide, ferrous sulphate, ferrous sulphide, ferrous carbonate, ferric chloride, ferric sulphate, ferric hydroxide. . account for the fact that a solution of sodium carbonate, when added to a solution of a ferric salt, precipitates an hydroxide and not a carbonate. . calculate the percentage of iron in each of the common iron ores. . one ton of steel prepared by the bessemer process is found by analysis to contain . % carbon. what is the minimum weight of carbon which must be added in order that the steel may be made to take a temper? chapter xxviii copper, mercury, and silver ================================================================== | | | | | | | | | | formulas of oxides | symbol | atomic | density | melting |___________________ | | weight | | point | | | | | | | "ous" | "ic" ________|________|________|_________|_________|__________|________ | | | | | | copper | cu | . | . | ° | cu_{ }o | cuo mercury | hg | . | . | - . ° | hg_{ }o | hgo silver | ag | . | . | ° | ag_{ }o | ago ================================================================== ~the family.~ by referring to the periodic arrangement of the elements (page ), it will be seen that mercury is not included in the same family with copper and silver. since the metallurgy of the three elements is so similar, however, and since they resemble each other so closely in chemical properties, it is convenient to class them together for study. . _occurrence._ the three elements occur in nature to some extent in the free state, but are usually found as sulphides. their ores are easy to reduce. . _properties._ they are heavy metals of high luster and are especially good conductors of heat and electricity. they are not very active chemically. neither hydrochloric nor dilute sulphuric acid has any appreciable action upon them. concentrated sulphuric acid attacks all three, forming metallic sulphates and evolving sulphur dioxide, while nitric acid, both dilute and concentrated, converts them into nitrates with the evolution of oxides of nitrogen. . _two series of salts._ copper and mercury form oxides of the types m_{ }o and mo, as well as two series of salts. in one series the metals are univalent and the salts have formulas like those of the sodium salts. they are called cuprous and mercurous salts. in the other series the metals are divalent and resemble magnesium salts in formulas. these are called cupric and mercuric salts. silver forms only one series of salts, being always a univalent metal. copper ~occurrence.~ the element copper has been used for various purposes since the earliest days of history. it is often found in the metallic state in nature, large masses of it occurring pure in the lake superior region and in other places to a smaller extent. the most valuable ores are the following: cuprite cu_{ }o. chalcocite cu_{ }s. chalcopyrite cufes_{ }. bornite cu_{ }fes_{ }. malachite cuco_{ }·cu(oh)_{ }. azurite cuco_{ }·cu(oh)_{ }. ~metallurgy of copper.~ ores containing little or no sulphur are easy to reduce. they are first crushed and the earthy impurities washed away. the concentrated ore is then mixed with carbon and heated in a furnace, metallic copper resulting from the reduction of the copper oxide by the hot carbon. ~metallurgy of sulphide ores.~ much of the copper of commerce is made from chalcopyrite and bornite, and these ores are more difficult to work. they are first roasted in the air, by which treatment much of the sulphur is burned to sulphur dioxide. the roasted ore is then melted in a small blast furnace or in an open one like a puddling furnace. in melting, part of the iron combines with silica to form a slag of iron silicate. the product, called crude matte, contains about % copper together with sulphur and iron. further purification is commonly carried on by a process very similar to the bessemer process for steel. the converter is lined with silica, and a charge of matte from the melting furnace, together with sand, is introduced, and air is blown into the mass. by this means the sulphur is practically all burned out by the air, and the remaining iron combines with silica and goes off as slag. the copper is poured out of the converter and molded into anode plates for refining. ~refining of copper.~ impure copper is purified by electrolysis. a large plate of it, serving as an anode, is suspended in a tank facing a thin plate of pure copper, which is the cathode. the tank is filled with a solution of copper sulphate and sulphuric acid to serve as the electrolyte. a current from a dynamo passes from the anode to the cathode, and the copper, dissolving from the anode, is deposited upon the cathode in pure form, while the impurities collect on the bottom of the tank. electrolytic copper is one of the purest of commercial metals and is very nearly pure copper. ~recovery of gold and silver.~ gold and silver are often present in small quantities in copper ores, and in electrolytic refining these metals collect in the muddy deposit on the bottom of the tank. the mud is carefully worked over from time to time and the precious metals extracted from it. a surprising amount of gold and silver is obtained in this way. ~properties of copper.~ copper is a rather heavy metal of density . , and has a characteristic reddish color. it is rather soft and is very malleable, ductile, and flexible, yet tough and strong; it melts at °. as a conductor of heat and electrical energy it is second only to silver. hydrochloric acid, dilute sulphuric acid, and fused alkalis are almost without action upon it; nitric acid and hot, concentrated sulphuric acid, however, readily dissolve it. in moist air it slowly becomes covered with a thin layer of green basic carbonate; heated in the air it is easily oxidized to black copper oxide (cuo). ~uses.~ copper is extensively used for electrical purposes, for roofs and cornices, for sheathing the bottom of ships, and for making alloys. in the following table the composition of some of these alloys is indicated: composition of alloys of copper in percentages aluminium bronze copper ( to %), aluminium ( to %). brass copper ( to %), zinc ( to %). bronze copper ( to %), zinc ( to %), tin ( to %). german silver copper ( to %), zinc ( %), nickel ( to %). gold coin copper ( %), gold ( %). gun metal copper ( %), tin ( %). nickel coin copper ( %), nickel ( %) silver coin copper ( %), silver ( %). ~electrotyping.~ matter is often printed from electrotype plates which are prepared as follows. the matter is set up in type and wax is firmly pressed down upon the face of it until a clear impression is obtained. the impressed side of the wax is coated with graphite and the impression is made the cathode in an electrolytic cell containing a copper salt in solution. when connected with a current the copper is deposited as a thin sheet upon the letters in wax, and when detached is a perfect copy of the type, the under part of the letters being hollow. the sheet is strengthened by pouring on the under surface a suitable amount of molten metal (commercial lead is used). the sheet so strengthened is then used in printing. ~two series of copper compounds.~ copper, like iron, forms two series of compounds: in the cuprous compounds it is univalent; in the cupric it is divalent. the cupric salts are much the more common of the two, since the cuprous salts pass readily into cupric by oxidation. ~cuprous compounds.~ the most important cuprous compound is the oxide (cu_{ }o), which occurs in nature as ruby copper or cuprite. it is a bright red substance and can easily be prepared by heating copper to a high temperature in a limited supply of air. it is used for imparting a ruby color to glass. by treating cuprous oxide with different acids a number of cuprous salts can be made. many of these are insoluble in water, the chloride (cucl) being the best known. when suspended in dilute hydrochloric acid it is changed into cupric chloride, the oxygen taking part in the reaction being absorbed from the air: cucl + hcl + o = cucl_{ } + h_{ }o. ~cupric compounds.~ cupric salts are easily made by dissolving cupric oxide in acids, or, when insoluble, by precipitation. most of them are blue or green in color, and the soluble ones crystallize well. since they are so much more familiar than the cuprous salts, they are frequently called merely copper salts. ~cupric oxide~ (cuo). this is a black insoluble substance obtained by heating copper in excess of air, or by igniting the hydroxide or nitrate. it is used as an oxidizing agent. ~cupric hydroxide~ (cu(oh)_{ }). the hydroxide prepared by treating a solution of a copper salt with sodium hydroxide is a light blue insoluble substance which easily loses water and changes into the oxide. heat applied to the liquid containing the hydroxide suspended in it serves to bring about the reaction represented by the equation cu(oh)_{ } = cuo + h_{ }o. ~cupric sulphate~ (_blue vitriol_) (cuso_{ }· h_{ }o). this substance, called blue vitriol or bluestone, is obtained as a by-product in a number of processes and is produced in very large quantities. it forms large blue crystals, which lose water when heated and crumble to a white powder. the salt finds many uses, especially in electrotyping and in making electrical batteries. ~cupric sulphide~ (cus). the insoluble black sulphide (cus) is easily prepared by the action of hydrosulphuric acid upon a solution of a copper salt: cuso_{ } + h_{ }s = cus + h_{ }so_{ }. it is insoluble in water and dilute acids. mercury ~occurrence.~ mercury occurs in nature chiefly as the sulphide (hgs) called cinnabar, and in globules of metal inclosed in the cinnabar. the mercury mines of spain have long been famous, california being the next largest producer. ~metallurgy.~ mercury is a volatile metal which has but little affinity for oxygen. sulphur, on the other hand, readily combines with oxygen. these facts make the metallurgy of mercury very simple. the crushed ore, mixed with a small amount of carbon to reduce any oxide or sulphate that might be formed, is roasted in a current of air. the sulphur burns to sulphur dioxide, while the mercury is converted into vapor and is condensed in a series of condensing vessels. the metal is purified by distillation. ~properties.~ mercury is a heavy silvery liquid with a density of . . it boils at ° and solidifies at - . °. small quantities of many metals dissolve in it, forming liquid alloys, while with larger quantities it forms solid alloys. the alloys of mercury are called amalgams. toward acids mercury conducts itself very much like copper; it is easily attacked by nitric and hot, concentrated sulphuric acids, while cold sulphuric and hydrochloric acids have no effect on it. ~uses.~ mercury is extensively used in the construction of scientific instruments, such as the thermometer and barometer, and as a liquid over which to collect gases which are soluble in water. the readiness with which it alloys with silver and gold makes it very useful in the extraction of these elements. ~compounds of mercury.~ like copper, mercury forms two series of compounds: the mercurous, of which mercurous chloride (hgcl) is an example; and the mercuric, represented by mercuric chloride (hgcl_{ }). ~mercuric oxide~ (hgo). mercuric oxide can be obtained either as a brick-red or as a yellow substance. when mercuric nitrate is heated carefully the red modification is formed in accordance with the equation hg(no_{ })_{ } = hgo + no_{ } + o. the yellow modification is prepared by adding a solution of a mercuric salt to a solution of sodium or potassium hydroxide: hg(no_{ })_{ } + naoh = nano_{ } + hg(oh)_{ }, hg(oh)_{ } = hgo + h_{ }o. when heated the oxide darkens until it becomes almost black; at a higher temperature it decomposes into mercury and oxygen. it was by this reaction that oxygen was discovered. ~mercurous chloride~ (_calomel_) (hgcl). being insoluble, mercurous chloride is precipitated as a white solid when a soluble chloride is added to a solution of mercurous nitrate: hgno_{ } + nacl = hgcl + nano_{ }. commercially it is manufactured by heating a mixture of mercuric chloride and mercury. when exposed to the light it slowly changes into mercuric chloride and mercury: hgcl = hgcl_{ } + hg. it is therefore protected from the light by the use of colored bottles. it is used in medicine. most mercurous salts are insoluble in water, the principal soluble one being the nitrate, which is made by the action of cold, dilute nitric acid on mercury. ~mercuric chloride~ (_corrosive sublimate_) (hgcl_{ }). this substance can be made by dissolving mercuric oxide in hydrochloric acid. on a commercial scale it is made by subliming a mixture of common salt and mercuric sulphate: nacl + hgso_{ } = hgcl_{ } + na_{ }so_{ }. the mercuric chloride, being readily volatile, vaporizes and is condensed again in cool vessels. like mercurous chloride it is a white solid, but differs from it in that it is soluble in water. it is extremely poisonous and in dilute solutions is used as an antiseptic in dressing wounds. ~mercuric sulphide~ (hgs). as cinnabar this substance forms the chief native compound of mercury, occurring in red crystalline masses. by passing hydrosulphuric acid into a solution of a mercuric salt it is precipitated as a black powder, insoluble in water and acids. by other means it can be prepared as a brilliant red powder known as vermilion, which is used as a pigment in fine paints. ~the iodides of mercury.~ if a solution of potassium iodide is added to solutions of a mercurous and a mercuric salt respectively, the corresponding iodides are precipitated. mercuric iodide is the more important of the two, and as prepared above is a red powder which changes to yellow on heating to °. the yellow form on cooling changes back again to the red form, or may be made to do so by rubbing it with a knife blade or some other hard object. silver ~occurrence.~ silver is found in small quantities in the uncombined state; usually, however, it occurs in combination with sulphur, either as the sulphide (ag_{ }s) or as a small constituent of other sulphides, especially those of lead and copper. it is also found alloyed with gold. ~metallurgy.~ _parkes's process._ silver is usually smelted in connection with lead. the ores are worked over together, as described under lead, and the lead and silver obtained as an alloy, the silver being present in small quantity. the alloy is melted and metallic zinc is stirred in. zinc will alloy with silver but not with lead, and it is found that the silver leaves the lead and, in the form of an alloy with zinc, forms as a crust upon the lead and is skimmed off. this crust, which, of course, contains lead adhering to it, is partially melted and the most of the lead drained off. the zinc is removed by distillation, and the residue is melted on an open hearth in a current of air; by this means the zinc and lead remaining with the silver are changed into oxides and the silver remains behind unaltered. ~amalgamation process.~ in some localities the old amalgamation process is used. the silver ore is treated with common salt and ferrous compounds, which process converts the silver first into chloride and then into metallic silver. mercury is then added and thoroughly mixed with the mass, forming an amalgam with the silver. after some days the earthy materials are washed away and the heavier amalgam is recovered. the mercury is distilled off and the silver left in impure form. ~refining silver.~ the silver obtained by either of the above processes may still contain copper, gold, and iron, and is refined by "parting" with sulphuric acid. the metal is heated with strong sulphuric acid which dissolves the silver, copper, and iron present, but not the gold. in the solution of silver sulphate so obtained copper plates are suspended, upon which the pure silver precipitates, the copper going into solution as sulphate, as shown in the equation ag_{ }so_{ } + cu = ag + cuso_{ }. the solution obtained as a by-product in this process furnishes most of the blue vitriol of commerce. silver is also refined by electrolytic methods similar to those used in refining copper. ~properties of silver.~ silver is a heavy, rather soft, white metal, very ductile and malleable and capable of taking a high polish. it surpasses all other metals as a conductor of heat and electricity, but is too costly to find extensive use for such purposes. it melts at a little lower temperature than copper ( °). it alloys readily with other heavy metals, and when it is to be used for coinage a small amount of copper--from to %--is nearly always melted with it to give it hardness. it is not acted upon by water or air, but is quickly tarnished when in contact with sulphur compounds, turning quite black in time. hydrochloric acid and fused alkalis do not act upon it, but nitric acid and hot, concentrated sulphuric acid dissolve it with ease. [illustration: fig. ] ~electroplating.~ since silver is not acted upon by water or air, and has a pleasing appearance, it is used to coat various articles made of cheaper metals. such articles are said to be silver plated. the process by which this is done is called electroplating. it is carried on as follows: the object to be plated (such as a spoon) is attached to a wire and dipped into a solution of a silver salt. electrical connection is made in such a way that the article to be plated serves as the cathode, while the anode is made up of one or more plates of silver (fig. , a). when a current is passed through the electrolyte silver dissolves from the anode plate and deposits on the cathode in the form of a closely adhering layer. by making the proper change in the electrolyte and anode plate objects may be plated with gold and other metals. ~compounds of silver.~ silver forms two oxides but only one series of salts, namely, the one which corresponds to the mercurous and cuprous series. ~silver nitrate~ (_lunar caustic_) (agno_{ }). this salt is easily prepared by dissolving silver in nitric acid and evaporating the resulting solution. it crystallizes in flat plates, and when heated carefully can be melted without decomposition. when cast into sticks it is called lunar caustic, for it has a very corrosive action on flesh, and is sometimes used in surgery to burn away abnormal growths. the alchemists designated the metals by the names of the heavenly bodies. the moon (luna) was the symbol for silver; hence the name "lunar caustic." ~silver sulphide~ (ag_{ }s). this occurs in nature and constitutes one of the principal ores of silver. it can be obtained in the form of a black solid by passing hydrosulphuric acid through a solution of silver nitrate. ~compounds of silver with the halogens.~ the chloride, bromide, and iodide of silver are insoluble in water and acids, and are therefore precipitated by bringing together a soluble halogen salt with silver nitrate: agno_{ } + kcl = agcl + kno_{ }. they are remarkable for the fact that they are very sensitive to the action of light, undergoing a change of color and chemical composition when exposed to sunlight, especially if in contact with organic matter such as gelatin. ~photography.~ the art of photography is based on the fact that the halogen compounds of silver are affected by the light, particularly in the presence of organic matter. from a chemical standpoint the processes involved may be described under two heads: ( ) the preparation of the negative; ( ) the preparation of the print. . _preparation of the negative._ the plate used in the preparation of the negative is made by spreading a thin layer of gelatin, in which silver bromide is suspended (silver iodide is sometimes added also), over a glass plate or celluloid film and allowing it to dry. when the plate so prepared is placed in a camera and the image of some object is focused upon it, the silver salt undergoes a change which is proportional at each point to the intensity of the light falling upon it. in this way an image of the object photographed is produced upon the plate, which is, however, invisible and is therefore called "latent." it can be made visible by the process of developing. to develop the image the exposed plate is immersed in a solution of some reducing agent called the developer. the developer reduces that portion of the silver salt which has been affected by the light, depositing it in the form of black metallic silver which closely adheres to the plate. the unaffected silver salt, upon which the developer has no action, must now be removed from the plate. this is done by immersing the plate in a solution of sodium thiosulphate (hypo). after the silver salt has been dissolved off, the plate is washed with water and dried. the plate so prepared is called the negative because it is a picture of the object photographed, with the lights exactly reversed. this is called fixing the negative. . _preparation of the print._ the print is made from paper which is prepared in the same way as the negative plate. the negative is placed upon this paper and exposed to the light in such a way that the light must pass through the negative before striking the paper. if the paper is coated with silver chloride, a visible image is produced, in which case a developer is not needed. the proofs are made in this way. in order to make them permanent the unchanged silver chloride must be dissolved off with sodium thiosulphate. the print is then toned by dipping it into a solution of gold or platinum salts. the silver on the print passes into solution, while the gold or platinum takes its place. these metals give a characteristic color or tone to the print, the gold making it reddish brown, while the platinum gives it a steel-gray tone. if a silver bromide paper is used in making the print, a latent image is produced which must be developed as in the case of the negative itself. the silver bromide is much more sensitive than the chloride, so that the printing can be done in artificial light. since the darkest places on the negative cut off the most light, it is evident that the lights of the print will be the reverse of those of the negative, and will therefore correspond to those of the object photographed. the print is therefore called the positive. exercises . account for the fact that copper has been used for so long a time. . write equations for the action of concentrated sulphuric and nitric acids upon the metals of this family. . how would you account for the fact that normal copper sulphate is slightly acid to litmus? . contrast the action of heat on cupric nitrate and mercuric nitrate. . state reasons why mercury is adapted for use in thermometers and barometers. . how could you distinguish between mercurous chloride and mercuric chloride? . write equations for the preparation of mercuric and mercurous iodides. . how would you account for the fact that solutions of the different salts of a metal usually have the same color? . crude silver usually contains iron and lead. what would become of these metals in refining by parting with sulphuric acid? . in the amalgamation process for extracting silver, how does ferrous chloride convert silver chloride into silver? write equation. why is the silver sulphide first changed into silver chloride? . what impurities would you expect to find in the copper sulphate prepared from the refining of silver? . how could you prepare pure silver chloride from a silver coin? . mercuric nitrate and silver nitrate are both white solids soluble in water. how could you distinguish between them? . account for the fact that sulphur waters turn a silver coin black; also for the fact that a silver spoon is blackened by foods (eggs, for example) containing sulphur. . when a solution of silver nitrate is added to a solution of potassium chlorate no precipitate forms. how do you account for the fact that a precipitate of silver chloride is not formed? chapter xxix tin and lead ==================================================================== | | | | | | symbol | atomic | density | melting | common oxides | | weight | | point | _____|________|________|_________|_________|________________________ | | | | | tin | sn | . | . | ° | sno sno_{ } lead | pb | . | . | ° | pbo pb_{ }o_{ } pbo_{ } ==================================================================== ~the family.~ tin and lead, together with silicon and germanium, form a family in group iv of the periodic table. silicon has been discussed along with the non-metals, while germanium, on account of its rarity, needs only to be mentioned. the other family of group iv includes carbon, already described, and a number of rare elements. tin ~occurrence.~ tin is found in nature chiefly as the oxide (sno_{ }), called cassiterite or tinstone. the most famous mines are those of cornwall in england, and of the malay peninsula and east india islands; in small amounts tinstone is found in many other localities. ~metallurgy.~ the metallurgy of tin is very simple. the ore, separated as far as possible from earthy materials, is mixed with carbon and heated in a furnace, the reduction taking place readily. the equation is sno_{ } + c = sn + co_{ }. the metal is often purified by carefully heating it until it is partly melted; the pure tin melts first and can be drained away from the impurities. ~properties.~ pure tin, called block tin, is a soft white metal with a silver-like appearance and luster; it melts readily ( °) and is somewhat lighter than copper, having a density of . . it is quite malleable and can be rolled out into very thin sheets, forming tin foil; most tin foil, however, contains a good deal of lead. under ordinary conditions it is quite unchanged by air or moisture, but at a high temperature it burns in air, forming the oxide sno_{ }. dilute acids have no effect upon it, but concentrated acids attack it readily. concentrated hydrochloric acid changes it into the chloride sn + hcl = sncl_{ } + h. with sulphuric acid tin sulphate and sulphur dioxide are formed: sn + h_{ }so_{ } = snso_{ } + so_{ } + h_{ }o concentrated nitric acid oxidizes it, forming a white insoluble compound of the formula h_{ }sno_{ }, called metastannic acid: sn + hno_{ } + h_{ }o = h_{ }sno_{ } + no. ~uses of tin.~ a great deal of tin is made into tin plate by dipping thin steel sheets into the melted metal. owing to the way in which tin resists the action of air and dilute acids, tin plate is used in many ways, such as in roofing, and in the manufacture of tin cans, cooking vessels, and similar articles. many useful alloys contain tin, some of which have been mentioned in connection with copper. when tin is alloyed with other metals of low melting point, soft, easily melted alloys are formed which are used for friction bearings in machinery; tin, antimony, lead, and bismuth are the chief constituents of these alloys. pewter and soft solder are alloys of tin and lead. ~compounds of tin.~ tin forms two series of compounds: the stannous, in which the tin is divalent, illustrated in the compounds sno, sns, sncl_{ }; the stannic, in which it is tetravalent as shown in the compounds sno_{ }, sns_{ }. there is also an acid, h_{ }sno_{ }, called stannic acid, which forms a series of salts called stannates. while this acid has the same composition as metastannic acid, the two are quite different in their chemical properties. this difference is probably due to the different arrangement of the atoms in the molecules of the two substances. only a few compounds of tin need be mentioned. ~stannic oxide~ (sno_{ }). stannic oxide is of interest, since it is the chief compound of tin found in nature. it is sometimes found in good-sized crystals, but as prepared in the laboratory is a white powder. when fused with potassium hydroxide it forms potassium stannate, acting very much like silicon dioxide: sno_{ } + koh = k_{ }sno_{ } + h_{ }o. ~chlorides of tin.~ stannous chloride is prepared by dissolving tin in concentrated hydrochloric acid and evaporating the solution to crystallization. the crystals which are obtained have the composition sncl_{ }· h_{ }o, and are known as tin crystals. by treating a solution of stannous chloride with aqua regia, stannic chloride is formed: sncl_{ } + cl = sncl_{ }. the salt which crystallizes from such a solution has the composition sncl_{ }· h_{ }o, and is known commercially as oxymuriate of tin. if metallic tin is heated in a current of dry chlorine, the anhydrous chloride (sncl_{ }) is obtained as a heavy colorless liquid which fumes strongly on exposure to air. the ease with which stannous chloride takes up chlorine to form stannic chloride makes it a good reducing agent in many reactions, changing the higher chlorides of metals to lower ones. thus mercuric chloride is changed into mercurous chloride: sncl_{ } + hgcl_{ } = sncl_{ } + hgcl. if the stannous chloride is in excess, the reaction may go further, producing metallic mercury: sncl_{ } + hgcl = sncl_{ } + hg. ferric chloride is in like manner reduced to ferrous chloride: sncl_{ } + fecl_{ } = sncl_{ } + fecl_{ }. the chlorides of tin, as well as the alkali stannates, are much used as mordants in dyeing processes. the hydroxides of tin and free stannic acid, which are easily liberated from these compounds, possess in very marked degree the power of fixing dyes upon fibers, as explained under aluminium. lead ~occurrence.~ lead is found in nature chiefly as the sulphide (pbs), called galena; to a much smaller extent it occurs as carbonate, sulphate, chromate, and in a few other forms. practically all the lead of commerce is made from galena, two general methods of metallurgy being in use. ~metallurgy.~ . the sulphide is melted with scrap iron, when iron sulphide and metallic lead are formed; the liquid lead, being the heavier, sinks to the bottom of the vessel and can be drawn off: pbs + fe = pb + fes. . the sulphide is roasted in the air until a part of it has been changed into oxide and sulphate. the air is then shut off and the heating continued, the reactions indicated in the following equations taking place: pbo + pbs = pb + so_{ }, pbso_{ } + pbs = pb + so_{ }. the lead so prepared usually contains small amounts of silver, arsenic, antimony, copper, and other metals. the silver is removed by parkes's method, as described under silver, and the other metals in various ways. the lead of commerce is one of the purest commercial metals, containing as a rule only a few tenths per cent of impurities. ~properties.~ lead is a heavy metal (den. = . ) which has a brilliant silvery luster on a freshly cut surface, but which soon tarnishes to a dull blue-gray color. it is soft, easily fused (melting at °), and quite malleable, but has little toughness or strength. it is not acted upon to any great extent by the oxygen of the air under ordinary conditions, but is changed into oxide at a high temperature. with the exception of hydrochloric and sulphuric acids, most acids, even very weak ones, act upon it, forming soluble lead salts. hot, concentrated hydrochloric and sulphuric acids also attack it to a slight extent. ~uses.~ lead is employed in the manufacture of lead pipes and in large storage batteries. in the form of sheet lead it is used in lining the chambers of sulphuric acid works and in the preparation of paint pigments. some alloys of lead, such as solder and pewter (lead and tin), shot (lead and arsenic), and soft bearing metals, are widely used. type metal consists of lead, antimony, and sometimes tin. compounds of lead form several important pigments. ~compounds of lead.~ in nearly all its compounds lead has a valence of , but a few corresponding to stannic compounds have a valence of . ~lead oxides.~ lead forms a number of oxides, the most important of which are litharge, red lead or minium, and lead peroxide. . _litharge_ (pbo). this oxide forms when lead is oxidized at a rather low temperature, and is obtained as a by-product in silver refining. it is a pale yellow powder, and has a number of commercial uses. it is easily soluble in nitric acid: pbo + hno_{ } = pb(no_{ })_{ } + h_{ }o. . _red lead, or minium_ (pb_{ }o_{ }). minium is prepared by heating lead (or litharge) to a high temperature in the air. it is a heavy powder of a beautiful red color, and is much used as a pigment. . _lead peroxide_ (pbo_{ }). this is left as a residue when minium is heated with nitric acid: pb_{ }o_{ } + hno_{ } = pb(no_{ })_{ } + pbo_{ } + h_{ }o. it is a brown powder which easily gives up a part of its oxygen and, like manganese dioxide and barium dioxide, is a good oxidizing agent. ~soluble salts of lead.~ the soluble salts of lead can be made by dissolving (pb(c_{ }h_{ }o_{ })_{ }· h_{ }o), litharge in acids. lead acetate called sugar of lead, and lead nitrate (pb(no_{ })_{ }) are the most familiar examples. they are while crystalline solids and are poisonous in character. ~insoluble salts of lead; lead carbonate.~ while the normal carbonate of lead (pbco_{ }) is found to some extent, in nature and can be prepared in the laboratory, basic carbonates of varying composition are much more easy to obtain. one of the simplest of these has the composition pbco_{ }·pb(oh)_{ }. a mixture of such carbonates is called white lead. this is prepared on a large scale as a paint pigment and as a body for paints which are to be colored with other substances. ~white lead.~ white lead is an amorphous white substance which, when mixed with oil, has great covering power, that is, it spreads out in an even waxy film, free from streaks and lumps, and covers the entire surface upon which it is spread. its disadvantage as a pigment lies in the fact that it gradually blackens when exposed to sulphur compounds, which are often present in the air, forming black lead sulphide (pbs). ~technical preparation of white lead.~ different methods are used in the preparation of white lead, but the old one known as the dutch process is still the principal one employed. in this process, earthenware pots about ten inches high and of the shape shown in fig. are used. in the bottom a is placed a % solution of acetic acid (vinegar answers the purpose very well). the space above this is filled with thin, perforated, circular pieces of lead, supported by the flange b of the pot. these pots are placed close together on a bed of tan bark on the floor of a room known as the corroding room. they are covered over with boards, upon which tan bark is placed, and another row of pots is placed on this. in this way the room is filled. the white lead is formed by the fumes of the acetic acid, together with the carbon dioxide set free in the fermentation of the tan bark acting on the lead. about three months are required to complete the process. [illustration : fig. ] ~lead sulphide~ (pbs). in nature this compound occurs in highly crystalline condition, the crystals having much the same luster as pure lead. it is readily prepared in the laboratory as a black precipitate, by the action of hydrosulphuric acid upon soluble lead salts: pb(no_{ })_{ } + h_{ }s = pbs + hno_{ }. it is insoluble both in water and in dilute acids. ~other insoluble salts.~ lead chromate (pbcro_{ }) is a yellow substance produced by the action of a soluble lead salt upon a soluble chromate, thus: k_{ }cro_{ } + pb(no_{ })_{ } = pbcro_{ } + kno_{ }. it is used as a yellow pigment. lead sulphate (pbso_{ }) is a white substance sometimes found in nature and easily prepared by precipitation. lead chloride (pbcl_{ }) is likewise a white substance nearly insoluble in cold water, but readily soluble in boiling water. ~thorium and cerium.~ these elements are found in a few rare minerals, especially in the monazite sand of the carolinas and brazil. the oxides of these elements are used in the preparation of the welsbach mantles for gas lights, because of the intense light given out when a mixture of the oxides is heated. these mantles contain the oxides of cerium and thorium in the ratio of about % of the former to % of the latter. compounds of thorium, like those of radium, are found to possess radio-activity, but in a less degree. exercises . how could you detect lead if present in tin foil? . stannous chloride reduces gold chloride (aucl_{ }) to gold. give equation. . what are the products of hydrolysis when stannic chloride is used as a mordant? . how could you detect arsenic, antimony, or copper in lead? . why is lead so extensively used for making water pipes? . what sulphates other than lead are insoluble? . could lead nitrate be used in place of barium chloride in testing for sulphates? . how much lead peroxide could be obtained from kg. of minium? . the purity of white lead is usually determined by observing the volume of carbon dioxide given off when it is treated with an acid. what acid should be used? on the supposition that it has the formula pbco_{ }·pb(oh)_{ }, how nearly pure was a sample if g. gave cc. of carbon dioxide at ° and mm.? . silicon belongs in the same family with tin and lead. in what respects are these elements similar? . what weight of tin could be obtained by the reduction of ton of cassiterite? . what reaction would you expect to take place when lead peroxide is treated with hydrochloric acid? . white lead is often adulterated with barytes. suggest a method for detecting it, if present, in a given example of white lead. chapter xxx manganese and chromium ==================================================================== | | | | | | symbol | atomic | density | melting | formulas of acids | | weight | | point | __________|________|________|_________|_________|___________________ | | | | | manganese | mn | . | . | ° | h_{ }mno_{ } and | | | | | hmno_{ } chromium | cr | . | . | ° | h_{ }cro_{ } and | | | | | h_{ }cr_{ }o_{ } ==================================================================== ~general.~ manganese and chromium, while belonging to different families, have so many features in common in their chemical conduct that they may be studied together with advantage. they differ from most of the elements so far studied in that they can act either as acid-forming or base-forming elements. as base-forming elements each of the metals forms two series of salts. in the one series, designated by the suffix "ous," the metal is divalent; in the other series, designated by the suffix "ic," the metal is trivalent. only the manganous and the chromic salts, however, are of importance. the acids in which these elements play the part of a non-metal are unstable, but their salts are usually stable, and some of them are important compounds. manganese ~occurrence.~ manganese is found in nature chiefly as the dioxide mno_{ }, called pyrolusite. in smaller amounts it occurs as the oxides mn_{ }o_{ } and mn_{ }o_{ }, and as the carbonate mnco_{ }. some iron ores also contain manganese. ~preparation and properties.~ the element is difficult to prepare in pure condition and has no commercial applications. it can be prepared, however, by reducing the oxide with aluminium powder or by the use of the electric furnace, with carbon as the reducing agent. the metal somewhat resembles iron in appearance, but is harder, less fusible, and more readily acted upon by air and moisture. acids readily dissolve it, forming manganous salts. ~oxides of manganese.~ the following oxides of manganese are known: mno, mn_{ }o_{ }, mn_{ }o_{ }, mno_{ }, and mn_{ }o_{ }. only one of these, the dioxide, needs special mention. ~manganese dioxide~ (_pyrolusite_) (mno_{ }). this substance is the most abundant manganese compound found in nature, and is the ore from which all other compounds of manganese are made. it is a hard, brittle, black substance which is valuable as an oxidizing agent. it will be recalled that it is used in the preparation of chlorine and oxygen, in decolorizing glass which contains iron, and in the manufacture of ferromanganese. ~compounds containing manganese as a base-forming element.~ as has been stated previously, manganese forms two series of salts. the most important of these salts, all of which belong to the manganous series, are the following: manganous chloride mncl_{ }· h_{ }o. manganous sulphide mns. manganous sulphate mnso_{ }· h_{ }o. manganous carbonate mnco_{ }. manganous hydroxide mn(oh)_{ }. the chloride and sulphate may be prepared by heating the dioxide with hydrochloric and sulphuric acids respectively: mno_{ } + hcl = mncl_{ } + h_{ }o + cl, mno_{ } + h_{ }so_{ } = mnso_{ } + h_{ }o + o. the sulphide, carbonate, and hydroxide, being insoluble, may be prepared from a solution of the chloride or sulphate by precipitation with the appropriate reagents. most of the manganous salts are rose colored. they not only have formulas similar to the ferrous salts, but resemble them in many of their chemical properties. ~compounds containing manganese as an acid-forming element.~ manganese forms two unstable acids, namely, manganic acid and permanganic acid. while these acids are of little interest, some of their salts, especially the permanganates, are important compounds. ~manganic acid and manganates.~ when manganese dioxide is fused with an alkali and an oxidizing agent a green compound is formed. the equation, when caustic potash is used, is as follows: mno_{ } + koh + o = k_{ }mno_{ } + h_{ }o. the green compound (k_{ }mno_{ }) is called potassium manganate, and is a salt of the unstable manganic acid (h_{ }mno_{ }). the manganates are all very unstable. ~permanganic acid and the permanganates.~ when carbon dioxide is passed through a solution of a manganate a part of the manganese is changed into manganese dioxide, while the remainder forms a salt of the unstable acid hmno_{ }, called permanganic acid. the equation is k_{ }mno_{ } + co_{ } = mno_{ } + kmno_{ } + k_{ }co_{ }. potassium permanganate (kmno_{ }) crystallizes in purple-black needles and is very soluble in water, forming an intensely purple solution. all other permanganates, as well as permanganic acid itself, give solutions of the same color. ~oxidizing properties of the permanganates.~ the permanganates are remarkable for their strong oxidizing properties. when used as an oxidizing agent the permanganate is itself reduced, the exact character of the products formed from it depending upon whether the oxidation takes place ( ) in an alkaline or neutral solution, or ( ) in an acid solution. . _oxidation in alkaline or neutral solution._ when the solution is either alkaline or neutral the potassium and the manganese of the permanganate are both converted into hydroxides, as shown in the equation kmno_{ } + h_{ }o = mn(oh)_{ } + koh + o. . _oxidation in acid solution._ when free acid such as sulphuric is present, the potassium and the manganese are both changed into salts of the acid: kmno_{ } + h_{ }so_{ } = k_{ }so_{ } + mnso_{ } + h_{ }o + o. under ordinary conditions, however, neither one of these reactions takes place except in the presence of a third substance which is capable of oxidation. the oxygen is not given off in the free state, as the equations show, but is used up in effecting oxidation. potassium permanganate is particularly valuable as an oxidizing agent not only because it acts readily either in acid or in alkaline solution, but also because the reaction takes place so easily that often it is not even necessary to heat the solution to secure action. the substance finds many uses in the laboratory, especially in analytical work. it is also used as an antiseptic as well as a disinfectant. chromium ~occurrence.~ the ore from which all chromium compounds are made is chromite, or chrome iron ore (fecr_{ }o_{ }). this is found most abundantly in new caledonia and turkey. the element also occurs in small quantities in many other minerals, especially in crocoisite (pbcro_{ }), in which mineral it was first discovered. ~preparation.~ chromium, like manganese, is very hard to reduce from its ores, owing to its great affinity for oxygen. it can, however, be made by the same methods which have proved successful with manganese. considerable quantities of an alloy of chromium with iron, called ferrochromium, are now produced for the steel industry. ~properties.~ chromium is a very hard metal of about the same density as iron. it is one of the most infusible of the metals, requiring a temperature little short of ° for fusion. at ordinary temperatures air has little action on it; at higher temperatures, however, it burns brilliantly. nitric acid has no action on it, but hydrochloric and dilute sulphuric acids dissolve it, liberating hydrogen. ~compounds containing chromium as a base-forming element.~ while chromium forms two series of salts, chromous salts are difficult to prepare and are of little importance. the most important of the chromic series are the following: chromic hydroxide cr(oh)_{ }. chromic chloride crcl_{ }· h_{ }o. chromic sulphate cr_{ }(so_{ })_{ }. chrome alums ~chromic hydroxide~ (cr(oh)_{ }). this substance, being insoluble, can be obtained by precipitating a solution of the chloride or sulphate with a soluble hydroxide. it is a greenish substance which, like aluminium hydroxide, dissolves in alkalis, forming soluble salts. ~dehydration of chromium hydroxide.~ when heated gently chromic hydroxide loses a part of its oxygen and hydrogen, forming the substance cro·oh, which, like the corresponding aluminium compound, has more pronounced acid properties than the hydroxide. it forms a series of salts very similar to the spinels; chromite is the ferrous salt of this acid, having the formula fe(cro_{ })_{ }. when heated to a higher temperature chromic hydroxide is completely dehydrated, forming the trioxide cr_{ }o_{ }. this resembles the corresponding oxides of aluminium and iron in many respects. it is a bright green powder, and when ignited strongly becomes almost insoluble in acids, as is also the case with aluminium oxide. ~chromic sulphate~ (cr_{ }(so_{ })_{ }). this compound is a violet-colored solid which dissolves in water, forming a solution of the same color. this solution, however, turns green on heating, owing to the formation of basic salts. chromic sulphate, like ferric and aluminium sulphates, unites with the sulphates of the alkali metals to form alums, of which the best known are potassium chrome alum (kcr(so_{ })_{ }· h_{ }o) and ammonium chrome alum (nh_{ }cr(so_{ })_{ }· h_{ }o). these form beautiful dark purple crystals and have some practical uses in the tanning industry and in photography. a number of the salts of chromium are also used in the dyeing industry, for they hydrolyze like aluminium salts and the hydroxide forms a good mordant. ~hydrolysis of chromium salts.~ when ammonium sulphide is added to a solution of a chromium salt, such as the sulphate, chromium hydroxide precipitates instead of the sulphide. this is due to the fact that chromic sulphide, like aluminium sulphide, hydrolyzes in the presence of water, forming chromic hydroxide and hydrosulphuric acid. similarly, a soluble carbonate precipitates a basic carbonate of chromium. ~compounds containing chromium as an acid-forming element.~ like manganese, chromium forms two unstable acids, namely, chromic acid and dichromic acid. their salts, the chromates and dichromates, are important compounds. ~chromates.~ when a chromium compound is fused with an alkali and an oxidizing agent a chromate is produced. when potassium hydroxide is used as the alkali the equation is cr(oh)_{ } + koh + o = k_{ }cro_{ } + h_{ }o. this reaction recalls the formation of a manganate under similar conditions. ~properties of chromates.~ the chromates are salts of the unstable chromic acid (h_{ }cro_{ }), and as a rule are yellow in color. lead chromate (pbcro_{ }) is the well-known pigment chrome yellow. most of the chromates are insoluble and can therefore be prepared by precipitation. thus, when a solution of potassium chromate is added to solutions of lead nitrate and barium nitrate respectively, the reactions expressed by the following equations occur: pb(no_{ })_{ } + k_{ }cro_{ } = pbcro_{ } + kno_{ }, ba(no_{ })_{ } + k_{ }cro_{ } = bacro_{ } + kno_{ }. the chromates of lead and barium separate as yellow precipitates. the presence of either of these two metals can be detected by taking advantage of these reactions. ~dichromates.~ when potassium chromate is treated with an acid the potassium salt of the unstable dichromic acid (h_{ }cr_{ }o_{ }) is formed: k_{ }cro_{ } + h_{ }so_{ } = k_{ }cr_{ }o_{ } + k_{ }so_{ } + h_{ }o. the relation between the chromates and dichromates is the same as that between the phosphates and the pyrophosphates. potassium dichromate might therefore be called potassium pyrochromate. ~potassium dichromate~ (k_{ }cr_{ }o_{ }). this is the best known dichromate, and is the most familiar chromium compound. it forms large crystals of a brilliant red color, and is rather sparingly soluble in water. when treated with potassium hydroxide it is converted into the chromate k_{ }cr_{ }o_{ } + koh = k_{ }cro_{ } + h_{ }o. when added to a solution of lead or barium salt the corresponding chromates (not dichromates) are precipitated. with barium nitrate the equation is ba(no_{ })_{ } + k_{ }cr_{ }o_{ } + h_{ }o = bacro_{ } + kno_{ } + hno_{ }. potassium dichromate finds use in many industries as an oxidizing agent, especially in the preparation of organic substances, such as the dye alizarin, and in the construction of several varieties of electric batteries. ~sodium chromates.~ the reason why the potassium salt rather than the sodium compound is used is that sodium chromate and dichromate are so soluble that it is hard to prepare them pure. this difficulty is being overcome now, and the sodium compounds are replacing the corresponding potassium salts. this is of advantage, since a sodium salt is cheaper than a potassium salt, so far as raw materials go. ~oxidizing action of chromates and dichromates.~ when a dilute solution of a chromate or dichromate is acidified with an acid, such as sulphuric acid, no reaction apparently takes place. however, if there is present a third substance capable of oxidation, the chromium compound gives up a portion of its oxygen to this substance. since the chromate changes into a dichromate in the presence of an acid, it will be sufficient to study the action of the dichromates alone. the reaction takes place in two steps. thus, when a solution of ferrous sulphate is added to a solution of potassium dichromate acidified with sulphuric acid, the reaction is expressed by the following equations: ( ) k_{ }cr_{ }o_{ } + h_{ }so_{ } = k_{ }so_{ } + cr_{ }(so_{ })_{ } + h_{ }o + o, ( ) feso_{ } + h_{ }so_{ } + o = fe_{ }(so_{ })_{ } + h_{ }o. the dichromate decomposes in very much the same way as a permanganate does, the potassium and chromium being both changed into salts in which they play the part of metals, while part of the oxygen of the dichromate is liberated. by combining equations ( ) and ( ), the following is obtained: k_{ }cr_{ }o_{ } + h_{ }so_{ } + feso_{ } = k_{ }so_{ } + cr_{ }(so_{ })_{ } + fe_{ }(so_{ })_{ } + h_{ } . this reaction is often employed in the estimation of iron in iron ores. ~potassium chrome alum.~ it will be noticed that the oxidizing action of potassium dichromate leaves potassium sulphate and chromium sulphate as the products of the reaction. on evaporating the solution these substances crystallize out as potassium chrome alum, which substance is produced as a by-product in the industries using potassium dichromate for oxidizing purposes. ~chromic anhydride~ (cro_{ }). when concentrated sulphuric acid is added to a strong solution of potassium dichromate, and the liquid allowed to stand, deep red needle-shaped crystals appear which have the formula cro_{ }.this oxide of chromium is called chromic anhydride, since it combines readily with water to form chromic acid: cro_{ } + h_{ }o = h_{ }cro_{ }. it is therefore analogous to sulphur trioxide which forms sulphuric acid in a similar way: so_{ } + h_{ }o = h_{ }so_{ }. chromic anhydride is a very strong oxidizing agent, giving up oxygen and forming chromic oxide: cro_{ } = cr_{ }o_{ } + o. ~rare elements of the family.~ molybdenum, tungsten, and uranium are three rather rare elements belonging in the same family with chromium, and form many compounds which are similar in formulas to the corresponding compounds of chromium. they can play the part of metals and also form acids resembling chromic acid in formula. thus we have molybdic acid (h_{ }moo_{ }), the ammonium salt of which is (nh_{ })_{ }moo_{ }. this salt has the property of combining with phosphoric acid to form a very complex substance which is insoluble in nitric acid. on this account molybdic acid is often used in the estimation of the phosphoric acid present in a substance. like chromium, the metals are difficult to prepare in pure condition. alloys with iron can be prepared by reducing the mixed oxides with carbon in an electric furnace; these alloys are used to some extent in preparing special kinds of steel. exercises . how does pyrolusite effect the decolorizing of glass containing iron? . write the equations for the preparation of manganous chloride, carbonate, and hydroxide. . write the equations representing the reactions which take place when ferrous sulphate is oxidized to ferric sulphate by potassium permanganate in the presence of sulphuric acid. . in the presence of sulphuric acid, oxalic acid is oxidized by potassium permanganate according to the equation c_{ }h_{ }o_{ } + o = co_{ } + h_{ }o. write the complete equation. . g. of iron were dissolved in sulphuric acid and oxidized to ferric sulphate by potassium permanganate. what weight of the permanganate was required? . what weight of ferrochromium containing % chromium must be added to a ton of steel to produce an alloy containing % of chromium? . write the equation representing the action of ammonium sulphide upon chromium sulphate. . potassium chromate oxidizes hydrochloric acid, forming chlorine. write the complete equation. . give the action of sulphuric acid on potassium dichromate (a) in the presence of a large amount of water; (b) in the presence of a small amount of water. chapter xxxi gold and the platinum family ============================================================================== | | | | | | | | atomic | | highest | highest | melting | symbol | weight | density | oxide | chloride | point __________|________|________|_________|_________ |__________|_____________ | | | | | | ruthenium | ru | . | . | ruo_{ } | rucl_{ } | electric arc rhodium | rh | . | . | rho_{ } | rhcl_{ } | electric arc palladium | pd | . | . | pdo_{ } | pdcl_{ } | ° iridium | ir | . | . | iro_{ } | ircl_{ } | ° osmium | os | . | . | oso_{ } | oscl_{ } | electric arc platinum | pt | . | . | pto_{ } | ptcl_{ } | ° gold | au | . | . | au_{ }o_{ } | aucl_{ } | ° ============================================================================== ~the family.~ following iron, nickel, and cobalt in the eighth column of the periodic table are two groups of three elements each. the metals of the first of these groups--ruthenium, rhodium, and palladium--have atomic weights near and densities near . the metals of the other group--iridium, osmium, and platinum--have atomic weights near and densities near . these six rare elements have very similar physical properties and resemble each other chemically not only in the type of compounds which they form but also in the great variety of them. they occur closely associated in nature, usually as alloys of platinum in the form of irregular metallic grains in sand and gravel. platinum is by far the most abundant of the six. although the periodic classification assigns gold to the silver-copper group, its physical as well as many of its chemical properties much more closely resemble those of the platinum metals, and it can he conveniently considered along with them. the four elements gold, platinum, osmium, and iridium are the heaviest substances known, being about twice as heavy as lead. platinum ~occurrence.~ about % of the platinum of commerce comes from russia, small amounts being produced in california, brazil, and australia. ~preparation.~ native platinum is usually alloyed with gold and the platinum metals. to separate the platinum the alloy is dissolved in aqua regia, which converts the platinum into chloroplatinic acid (h_{ }ptcl_{ }). ammonium chloride is then added, which precipitates the platinum as insoluble ammonium chloroplatinate: h_{ }ptcl_{ } + nh_{ }cl = (nh_{ })_{ }ptcl_{ } + hcl. some iridium is also precipitated as a similar compound. on ignition the double chloride is decomposed, leaving the platinum as a spongy metallic mass, which is melted in an electric furnace and rolled or hammered into the desired shape. ~physical properties.~ platinum is a grayish-white metal of high luster, and is very malleable and ductile. it melts in the oxyhydrogen blowpipe and in the electric furnace; it is harder than gold and is a good conductor of electricity. in finely divided form it has the ability to absorb or occlude gases, especially oxygen and hydrogen. these gases, when occluded, are in a very active condition resembling the nascent state, and can combine with each other at ordinary temperatures. a jet of hydrogen or coal gas directed upon spongy platinum is at once ignited. ~platinum as a catalytic agent.~ platinum is remarkable for its property of acting as a catalytic agent in a large number of chemical reactions, and mention has been made of this use of the metal in connection with the manufacture of sulphuric acid. when desired for this purpose some porous or fibrous substance, such as asbestos, is soaked in a solution of platinic chloride and then ignited. the platinum compound is decomposed and the platinum deposited in very finely divided form. asbestos prepared in this way is called platinized asbestos. the catalytic action seems to be in part connected with the property of absorbing gases and rendering them nascent. some other metals possess this same power, notably palladium, which is remarkable for its ability to absorb hydrogen. ~chemical properties.~ platinum is a very inactive element chemically, and is not attacked by any of the common acids. aqua regia slowly dissolves it, forming platinic chloride (ptcl_{ }), which in turn unites with the hydrochloric acid present in the aqua regia, forming the compound chloroplatinic acid (h_{ }ptcl_{ }). platinum is attacked by fused alkalis. it combines at higher temperatures with carbon and phosphorus and alloys with many metals. it is readily attacked by chlorine but not by oxidizing agents. ~applications.~ platinum is very valuable as a material for the manufacture of chemical utensils which are required to stand a high temperature or the action of strong reagents. platinum crucibles, dishes, forceps, electrodes, and similar articles are indispensable in the chemical laboratory. in the industries it is used for such purposes as the manufacture of pans for evaporating sulphuric acid, wires for sealing through incandescent light bulbs, and for making a great variety of instruments. unfortunately the supply of the metal is very limited, and the cost is steadily advancing, so that it is now more valuable than gold. ~compounds.~ platinum forms two series of salts of which platinous chloride (ptcl_{ }) and platinic chloride (ptcl_{ }) are examples. platinates are also known. while a great variety of compounds of platinum have been made, the substance is chiefly employed in the metallic state. ~platinic chloride (ptcl_{ }).~ platinic chloride is an orange-colored, soluble compound made by heating chloroplatinic acid in a current of chlorine. if hydrochloric acid is added to a solution of the substance, the two combine, forming chloroplatinic acid (h_{ }ptcl_{ }): hcl + ptcl_{ } = h_{ }ptcl_{ }. the potassium and ammonium salts of this acid are nearly insoluble in water and alcohol. the acid is therefore used as a reagent to precipitate potassium in analytical work. with potassium chloride the equation is kcl + h_{ }ptcl_{ } = k_{ }ptcl_{ } + hcl. ~other metals of the family.~ the other members of the family have few applications. iridium is used in the form of a platinum alloy, since the alloy is much harder than pure platinum and is even less fusible. this alloy is sometimes used to point gold pens. osmium tetroxide (oso_{ }) is a very volatile liquid and is used under the name of osmic acid as a stain for sections in microscopy. gold ~occurrence.~ gold has been found in many localities, the most famous being south africa, australia, russia, and the united states. in this country it is found in alaska and in nearly half of the states of the union, notably in california, colorado, and nevada. it is usually found in the native condition, frequently alloyed with silver; in combination it is sometimes found as telluride (aute_{ }), and in a few other compounds. ~mining.~ native gold occurs in the form of small grains or larger nuggets in the sands of old rivers, or imbedded in quartz veins in rocks. in the first case it is obtained in crude form by placer mining. the sand containing the gold is shaken or stirred in troughs of running waters called sluices. this sweeps away the sand but allows the heavier gold to sink to the bottom of the sluice. sometimes the sand containing the gold is washed away from its natural location into the sluices by powerful streams of water delivered under pressure from pipes. this is called hydraulic mining. in vein mining the gold-bearing quartz is mined from the veins, stamped into fine powder in stamping mills, and the gold extracted by one of the processes to be described. ~extraction.~ . _amalgamation process._ in the amalgamation process the powder containing the gold is washed over a series of copper plates whose surfaces have been amalgamated with mercury. the gold sticks to the mercury or alloys with it, and after a time the gold and mercury are scraped off and the mixture is distilled. the mercury distills off and the gold is left in the retort ready for refining. . _chlorination process._ when gold occurs along with metallic sulphides it is often extracted by chlorination. the ore is first roasted, and is then moistened and treated with chlorine. this dissolves the gold but not the metallic oxides: au + cl = aucl_{ }. the gold chloride, being soluble, is extracted from the mixture with water, and the gold is precipitated from the solution, usually by adding ferrous sulphate: aucl_{ } + feso_{ } = au + fecl_{ } + fe_{ }(so_{ })_{ }. . _cyanide process._ this process depends upon the fact that gold is soluble in a solution of potassium cyanide in the presence of the oxygen of the air. the powder from the stamping mills is treated with a very dilute potassium cyanide solution which extracts the gold: au + kcn + h_{ }o + o = koh + kau(cn)_{ }. from this solution the gold can be obtained by electrolysis or by precipitation with metallic zinc: kau(cn)_{ } + zn = k_{ }zn(cn)_{ } + au. ~refining of gold.~ gold is refined by three general methods: . _electrolysis._ when gold is dissolved in a solution of potassium cyanide, and the solution electrolyzed, the gold is deposited in very pure condition on the cathode. . _cupellation._ when the gold is alloyed with easily oxidizable metals, such as copper or lead, it may be refined by cupellation. the alloy is fused with an oxidizing flame on a shallow hearth made of bone ash, which substance has the property of absorbing metallic oxides but not the gold. any silver which may be present remains alloyed with the gold. . _parting with sulphuric acid._ gold may be separated from silver, as well as from many other metals, by heating the alloy with concentrated sulphuric acid. this dissolves the silver, while the gold is not attacked. ~physical properties.~ gold is a very heavy bright yellow metal, exceedingly malleable and ductile, and a good conductor of electricity. it is quite soft and is usually alloyed with copper or silver to give it the hardness required for most practical uses. the degree of fineness is expressed in terms of carats, pure gold being twenty-four carats; the gold used for jewelry is usually eighteen carats, eighteen parts being gold and six parts copper or silver. gold coinage is % gold and % copper. ~chemical properties.~ gold is not attacked by any one of the common acids; aqua regia easily dissolves it, forming gold chloride (aucl_{ }), which in turn combines with hydrochloric acid to form chlorauric acid (haucl_{ }). fused alkalis also attack it. most oxidizing agents are without action upon it, and in general it is not an active element. ~compounds.~ the compounds of gold, though numerous and varied in character, are of comparatively little importance and need not be described in detail. the element forms two series of salts in which it acts as a metal: in the aurous series the gold is univalent, the chloride having the formula aucl; in the auric series it is trivalent, auric chloride having the formula aucl_{ }. gold also acts as an acid-forming element, forming such compounds as potassium aurate (kauo_{ }). its compounds are very easily decomposed, however, metallic gold separating from them. exercises . from the method of preparation of platinum, what metal is likely to be alloyed with it? . the "platinum chloride" of the laboratory is made by dissolving platinum in aqua regia. what is the compound? . how would you expect potassium aurate and platinate to be formed? what precautions would this suggest in the use of platinum vessels? . why must gold ores be roasted in the chlorination process? chapter xxxii some simple organic compounds ~division of chemistry into organic and inorganic.~ chemistry is usually divided into two great divisions,--organic and inorganic. the original significance of these terms was entirely different from the meaning which they have at the present time. . _original significance._ the division into organic and inorganic was originally made because it was believed that those substances which constitute the essential parts of living organisms were built up under the influence of the life force of the organism. such substances, therefore, should be regarded as different from those compounds prepared in the laboratory or formed from the inorganic or mineral constituents of the earth. in accordance with this view organic chemistry included those substances formed by living organisms. inorganic chemistry, on the other hand, included all substances formed from the mineral portions of the earth. in the german chemist wöhler prepared urea, a typical organic compound, from inorganic materials. the synthesis of other so-called organic compounds followed, and at present it is known that the same chemical laws apply to all substances whether formed in the living organism or prepared in the laboratory from inorganic constituents. the terms "organic" and "inorganic" have therefore lost their original significance. . _present significance._ the great majority of the compounds found in living organisms contain carbon, and the term "organic chemistry," as used at present, includes not only these compounds but all compounds of carbon. _organic chemistry_ has become, therefore, _the chemistry of the compounds of carbon_, all other substances being treated under the head of inorganic chemistry. this separation of the compounds of carbon into a group by themselves is made almost necessary by their great number, over one hundred thousand having been recorded. for convenience some of the simpler carbon compounds, such as the oxides and the carbonates, are usually discussed in inorganic chemistry. ~the grouping of compounds in classes.~ the study of organic chemistry is much simplified by the fact that the large number of bodies included in this field may be grouped in classes of similar compounds. it thus becomes possible to study the properties of each class as a whole, in much the same way as we study a group of elements. the most important of these classes are the _hydrocarbons_, the _alcohols_, the _aldehydes_, the _acids_, the _ethereal salts_, the _ethers_, the _ketones_, the _organic bases_, and the _carbohydrates_. a few members of each of these classes will now be discussed briefly. the hydrocarbons carbon and hydrogen combine to form a large number of compounds. these compounds are known collectively as the _hydrocarbons_. they may be divided into a number of groups or series, each being named from its first member. some of the groups are as follows: methane series ch_{ } methane c_{ }h_{ } ethane c_{ }h_{ } propane c_{ }h_{ } butane c_{ }h_{ } pentane c_{ }h_{ } hexane c_{ }h_{ } heptane c_{ }h_{ } octane ethylene series c_{ }h_{ } ethylene c_{ }h_{ } propylene c_{ }h_{ } butylene benzene series c_{ }h_{ } benzene c_{ }h_{ } toluene c_{ }h_{ } xylene acetylene series c_{ }h_{ } acetylene c_{ }h_{ } allylene only the lower members (that is, those which contain a small number of carbon atoms) of the above groups are given. the methane series is the most extensive, all of the compounds up to c_{ }h_{ } being known. it will be noticed that the successive members of each of the above series differ by the group of atoms (ch_{ }). such a series is called an _homologous series_. in general, it may be stated that the members of an homologous series show a regular gradation in most physical properties and are similar in chemical properties. thus in the methane group the first four members are gases at ordinary temperatures; those containing from five to sixteen carbon atoms are liquids, the boiling points of which increase with the number of carbon atoms present. those containing more than sixteen carbon atoms are solids. ~sources of the hydrocarbons.~ there are two chief sources of the hydrocarbons, namely, ( ) crude petroleum and ( ) coal tar. . _crude petroleum._ this is a liquid pumped from wells driven into the earth in certain localities. pennsylvania, ohio, kansas, california, and texas are the chief oil-producing regions in the united states. the crude petroleum consists largely of liquid hydrocarbons in which are dissolved both gaseous and solid hydrocarbons. before being used it must be refined. in this process the petroleum is run into large iron stills and subjected to fractional distillation. the various hydrocarbons distill over in the general order of their boiling points. the distillates which collect between certain limits of temperature are kept separate and serve for different uses; they are further purified, generally by washing with sulphuric acid, then with an alkali, and finally with water. among the products obtained from crude petroleum in this way are the naphthas, including benzine and gasoline, kerosene or coal oil, lubricating oils, vaseline, and paraffin. none of these products are definite chemical compounds, but each consists of a mixture of hydrocarbons, the boiling points of which lie within certain limits. . _coal tar._ this product is obtained in the manufacture of coal gas, as already explained. it is a complex mixture and is refined by the same general method used in refining crude petroleum. the principal hydrocarbons obtained from the coal tar are benzene, toluene, naphthalene, and anthracene. in addition to the hydrocarbons, coal tar contains many other compounds, such as carbolic acid and aniline. ~properties of the hydrocarbons.~ the lower members of the first two series of hydrocarbons mentioned are all gases; the succeeding members are liquids. in some series, as the methane series, the higher members are solids. the preparation and properties of methane and acetylene have been discussed in a previous chapter. ethylene is present in small quantities in coal gas and may be obtained in the laboratory by treating alcohol (c_{ }h_{ }o) with sulphuric acid: c_{ }h_{ }o = c_{ }h_{ } + h_{ }o. benzene, the first member of the benzene series, is a liquid boiling at °. the hydrocarbons serve as the materials from which a large number of compounds can be prepared; indeed, it has been proposed to call organic chemistry _the chemistry of the hydrocarbon derivatives_. ~substitution products of the hydrocarbons.~ as a rule, at least a part of the hydrogen in any hydrocarbon can be displaced by an equivalent amount of certain elements or groups of elements. thus the compounds ch_{ }cl, ch_{ }cl_{ }, chcl_{ }, ccl_{ } can be obtained from methane by treatment with chlorine. such compounds are called _substitution products_. ~chloroform~ (chcl_{ }). this can be made by treating methane with chlorine, as just indicated, although a much easier method consists in treating alcohol or acetone (which see) with bleaching powder. chloroform is a heavy liquid having a pleasant odor and a sweetish taste. it is largely used as a solvent and as an anæsthetic in surgery. ~iodoform~ (chi_{ }). this is a yellow crystalline solid obtained by treating alcohol with iodine and an alkali. it has a characteristic odor and is used as an antiseptic. alcohols when such a compound as ch_{ }cl is treated with silver hydroxide the reaction expressed by the following equation takes place: ch_{ }cl + agoh = ch_{ }oh + agcl. similarly c_{ }h_{ }cl will give c_{ }h_{ }oh and agcl. the compounds ch_{ }oh and c_{ }h_{ }oh so obtained belong to the class of substances known as _alcohols_. from their formulas it will be seen that they may be regarded as derived from hydrocarbons by substituting the hydroxyl group (oh) for hydrogen. thus the alcohol ch_{ }oh may be regarded as derived from methane (ch_{ }) by substituting the group oh for one atom of hydrogen. a great many alcohols are known, and, like the hydrocarbons, they may be grouped into series. the relation between the first three members of the methane series and the corresponding alcohols is shown in the following table: ch_{ } (methane) ch_{ }oh (methyl alcohol). c_{ }h_{ } (ethane) c_{ }h_{ }oh (ethyl alcohol). c_{ }h_{ } (propane) c_{ }h_{ }oh (propyl alcohol). ~methyl alcohol~ (_wood alcohol_) (ch_{ }oh). when wood is placed in an air-tight retort and heated, a number of compounds are evolved, the most important of which are the three liquids, methyl alcohol, acetic acid, and acetone. methyl alcohol is obtained entirely from this source, and on this account is commonly called _wood alcohol_. it is a colorless liquid which has a density of . and boils at °. it burns with an almost colorless flame and is sometimes used for heating purposes, in place of the more expensive ethyl alcohol. it is a good solvent for organic substances and is used especially as a solvent in the manufacture of varnishes. it is very poisonous. ~ethyl alcohol~ (_common alcohol_) (c_{ }h_{ }oh). . _preparation._ this compound may be prepared from glucose (c_{ }h_{ }o_{ }), a sugar easily obtained from starch. if some baker's yeast is added to a solution of glucose and the temperature is maintained at about °, bubbles of gas are soon evolved, showing that a change is taking place. the yeast contains a large number of minute organized bodies, which are really forms of plant life. the plant grows in the glucose solution, and in so doing secretes a substance known as _zymase_, which breaks down the glucose in accordance with the following equation: c_{ }h_{ }o_{ } = c_{ }h_{ }oh + co_{ }. ~laboratory preparation of alcohol.~ the formation of alcohol and carbon dioxide from glucose may be shown as follows: about g. of glucose are dissolved in a liter of water in flask a (fig. ). this flask is connected with the bottle b, which is partially filled with limewater. the tube c contains solid sodium hydroxide. a little baker's yeast is now added to the solution in flask a, and the apparatus is connected, as shown in the figure. if the temperature is maintained at about °, the reaction soon begins. the bubbles of gas escape through the limewater in b. a precipitate of calcium carbonate soon forms in the limewater, showing the presence of carbon dioxide. the sodium hydroxide in tube c prevents the carbon dioxide in the air from acting on the limewater. the alcohol remains in the flask a and may be separated by fractional distillation. [illustration: fig. ] . _properties._ ethyl alcohol is a colorless liquid with a pleasant odor. it has a density of . and boils at °. it resembles methyl alcohol in its general properties. it is sometimes used as a source of heat, since its flame is very hot and does not deposit carbon, as the flame from oil does. when taken into the system in small quantities it causes intoxication; in larger quantities it acts as a poison. the intoxicating properties of such liquors as beer, wine, and whisky are due to the alcohol present. beer contains from to % of alcohol, wine from to %, and whisky about %. the ordinary alcohol of the druggist contains % of alcohol and % of water. when this is boiled with lime and then distilled nearly all the water is removed, the distillate being called _absolute alcohol_. ~commercial preparation of alcohol.~ alcohol is prepared commercially from starch obtained from corn or potatoes. the starch is first converted into a sugar known as maltose, by the action of _malt_, a substance prepared by moistening barley with water, allowing it to germinate, and then drying it. there is present in the malt a substance known as diastase, which has the property of changing starch into maltose. this sugar, like glucose, breaks down into alcohol and carbon dioxide in the presence of yeast. the resulting alcohol is separated by fractional distillation. ~denatured alcohol.~ the % alcohol is prepared at present at a cost of about cents per gallon, which is about half the cost of the preparation of methyl alcohol. the government, however, imposes a tax on all ethyl alcohol which amounts to $ . per gallon on the % product. this increases its cost to such an extent that it is not economical to use it for many purposes for which it is adapted, such as a solvent in the preparation of paints and varnishes and as a material for the preparation of many important organic compounds. by an act of congress in , the tax was removed from _denatured_ alcohol, that is alcohol mixed with some substance which renders it unfit for the purposes of a beverage but will not impair its use for manufacturing purposes. some of the european countries have similar laws. the substances ordinarily used to denature alcohol are wood alcohol and pyridine, the latter compound having a very offensive odor. ~fermentation.~ the reaction which takes place in the preparation of ethyl alcohol belongs to the class of changes known under the general name of fermentation. thus we say that the yeast causes the glucose to ferment, and the process is known as alcoholic fermentation. there are many kinds of fermentations, and each is thought to be due to the presence of a definite substance known as an _enzyme_, which acts by catalysis. in many cases, as in alcoholic fermentation, the change is brought about by the action of minute forms of life. these probably secrete the enzymes which cause the fermentation to take place. thus the yeast plant is supposed to bring about alcoholic fermentation by secreting the enzyme known as zymase. ~glycerin~ (c_{ }h_{ }(oh)_{ }). this compound may be regarded as derived from propane (c_{ }h_{ }) by displacing three atoms of hydrogen by three hydroxyl groups, and must therefore be regarded as an alcohol. it is formed in the manufacture of soaps, as will be explained later. it is an oily, colorless liquid having a sweetish taste. it is used in medicine and in the manufacture of the explosives nitroglycerin and dynamite. aldehydes when alcohols are treated with certain oxidizing agents two hydrogen atoms are removed from each molecule of the alcohol. the resulting compounds are known as aldehydes. the relation of the aldehydes derived from methyl and ethyl alcohol to the alcohols themselves may be shown as follows: alcohols {ch_{ }oh corresponding aldehydes {ch_{ }o {c_{ }h_{ }oh {c_{ }h_{ }o the first of these (ch_{ }o) is a gas known as formaldehyde. its aqueous solution is largely used as an antiseptic and disinfectant under the name of _formalin_. acetaldehyde (c_{ }h_{ }o) is a liquid boiling at °. acids like the other classes of organic compounds, the organic acids may be arranged in homologous series. one of the most important of these series is the _fatty-acid series_, the name having been given to it because the derivatives of certain of its members are constituents of the fats. some of the most important members of the series are given in the following table. they are all monobasic, and this fact is expressed in the formulas by separating the replaceable hydrogen atom from the rest of the molecule: h·cho_{ } formic acid, a liquid boiling at °. h·c_{ }h_{ }o acetic acid, a liquid boiling at °. h·c_{ }h_{ }o_{ } propionic acid, a liquid boiling at °. h·c_{ }h_{ }o_{ } butyric acid, a liquid boiling at °. h·c_{ }h_{ }o_{ } palmitic acid, a solid melting at °. h·c_{ }h_{ }o_{ } stearic acid, a solid melting at °. ~formic acid~ (h·cho_{ }). the name "formic" is derived from the latin _formica_, signifying ant. this name was given to the acid because it was formerly obtained from a certain kind of ants. it is a colorless liquid and occurs in many plants such as the stinging nettles. the inflammation caused by the sting of the bee is due to formic acid. ~acetic acid~ (h·c_{ }h_{ }o_{ }). acetic acid is the acid present in vinegar, the sour taste being due to it. it can be prepared by either of the following methods. . _acetic fermentation._ this consists in the change of alcohol into acetic acid through the agency of a minute organism commonly called mother of vinegar. the change is represented by the following equation: c_{ }h_{ }oh + o = hc_{ }h_{ }o_{ } + h_{ }o. the various kinds of vinegars are all made by this process. in the manufacture of cider vinegar the sugar present in the cider first undergoes alcoholic fermentation; the resulting alcohol then undergoes acetic fermentation. the amount of acetic acid present in vinegars varies from to %. . _from the distillation of wood._ the liquid obtained by heating wood in the absence of air contains a large amount of acetic acid, and this can be separated readily in a pure state. this is the most economical method for the preparation of the concentrated acid. acetic acid is a colorless liquid and has a strong pungent odor. many of its salts are well-known compounds. lead acetate (pb(c_{ }h_{ }o_{ })_{ }) is the ordinary _sugar of lead_. sodium acetate (nac_{ }h_{ }o_{ }) is a white solid largely used in making chemical analyses. copper acetate (cu(c_{ }h_{ }o_{ })_{ }) is a blue solid. when copper is acted upon by acetic acid in the presence of air a green basic acetate of copper is formed. this is commonly known as verdigris. all acetates are soluble in water. ~butyric acid~ (h·c_{ }h_{ }o_{ }). derivatives of butyric acid are present in butter and impart to it its characteristic flavor. ~palmitic and stearic acids.~ ordinary fats consist principally of derivatives of palmitic and stearic acids. when the fats are heated with sodium hydroxide the sodium salts of these acids are formed. if hydrochloric acid is added to a solution of the sodium salts, the free palmitic and stearic acids are precipitated. they are white solids, insoluble in water. stearic acid is often used in making candles. ~acids belonging to other series.~ in addition to members of the fatty-acid series, mention may be made of the following well-known acids. ~oxalic acid~ (h_{ }c_{ }o_{ }). this is a white solid which occurs in nature in many plants, such as the sorrels. its ammonium salt ((nh_{ })_{ }c_{ }o_{ }) is used as a reagent for the detection of calcium. when added to a solution of a calcium compound the white, insoluble calcium oxalate (cac_{ }o_{ }) precipitates. ~tartaric acid~ (h_{ }·c_{ }h_{ }o_{ }). this compound occurs either in a free state or in the form of its salts in many fruits. the potassium acid salt (khc_{ }h_{ }o_{ }) occurs in the juice of grapes. when the juice ferments in the manufacture of wine, this salt, being insoluble in alcohol, separates out on the sides of the cask and in this form is known as argol. this is more or less colored by the coloring matter of the grape. when purified it forms a white solid and is sold under the name of cream of tartar. the following are also well-known salts of tartaric acid: potassium sodium tartrate (rochelle salt) (knac_{ }h_{ }o_{ }), potassium antimonyl tartrate (tartar emetic) (ksboc_{ }h_{ }o_{ }). ~cream of tartar baking powders.~ the so-called cream of tartar baking powders consist of a mixture of cream of tartar, bicarbonate of soda, and some starch or flour. when water is added to this mixture the cream of tartar slowly acts upon the soda present liberating carbon dioxide in accordance with the following equation: khc_{ }h_{ }o_{ } + nahco_{ } = knac_{ }h_{ }o_{ } + h_{ }o + co_{ }. the carbon dioxide evolved escapes through the dough, thus making it light and porous. ~citric acid~ (h_{ }·c_{ }h_{ }o_{ }). this acid occurs in many fruits, especially in lemons. it is a white solid, soluble in water, and is often used as a substitute for lemons in making lemonade. ~lactic acid~ (h·c_{ }h_{ }o_{ }). this is a liquid which is formed in the souring of milk. ~oleic acid~ (h·c_{ }h_{ }o_{ }). the derivatives of this acid constitute the principal part of many oils and liquid fats. the acid itself is an oily liquid. ethereal salts when acids are brought in contact with alcohols under certain conditions a reaction takes place similar to that which takes place between acids and bases. the following equations will serve as illustrations: koh + hno_{ } = kno_{ } + h_{ }o, ch_{ }oh + hno_{ } = ch_{ }no_{ } + h_{ }o. the resulting compounds of which methyl nitrate (ch_{ }no_{ }) may be taken as the type belong to the class known as _ethereal salts_, the name having been given them because some of them possess pleasant ethereal odors. it will be seen that the ethereal salts differ from ordinary salts in that they contain a hydrocarbon radical, such as ch_{ }, c_{ }h_{ }, c_{ }h_{ }, in place of a metal. ~the nitrates of glycerin~ (_nitroglycerin_). nitric acid reacts with glycerin in the same way that it reacts with a base containing three hydroxyl groups such as fe(oh)_{ }: fe(oh)_{ } + hno_{ } = fe(no_{ })_{ } + h_{ }o, c_{ }h_{ }(oh)_{ } + hno_{ } = c_{ }h_{ }(no_{ })_{ } + h_{ }o. the resulting nitrate (c_{ }h_{ }(no_{ })_{ }) is the main constituent of _nitroglycerin_, a slightly yellowish oil characterized by its explosive properties. dynamite consists of porous earth which has absorbed nitroglycerin, and its strength depends on the amount present. it is used much more largely than nitroglycerin itself, since it does not explode so readily by concussion and hence can be transported with safety. ~the fats.~ these are largely mixtures of the ethereal salts known respectively as olein, palmitin, and stearin. these salts may be regarded as derived from oleic, palmitic, and stearic acids respectively, by replacing the hydrogen of the acid with the glycerin radical c_{ }h_{ }. since this radical is trivalent and oleic, palmitic, and stearic acids contain only one replaceable hydrogen atom to the molecule, it is evident that three molecules of each acid must enter into each molecule of the ethereal salt. the formulas for the acids and the ethereal salts derived from each are as follows: hc_{ }h_{ }o_{ } (oleic acid) c_{ }h_{ }(c_{ }h_{ }o_{ })_{ }, (olein) hc_{ }h_{ }o_{ } (palmitic acid) c_{ }h_{ }(c_{ }h_{ } _{ })_{ } (palmitin) hc_{ }h_{ }o_{ } (stearic acid) c_{ }h_{ }(c_{ }h_{ }o_{ })_{ } (stearin) olein is a liquid and is the main constituent of liquid fats. palmitin and stearin are solids. ~butter fat and oleomargarine.~ butter fat consists principally of olein, palmitin, and stearin. the flavor of the fat is due to the presence of a small amount of butyrin, which is an ethereal salt of butyric acid. oleomargarine differs from butter mainly in the fact that a smaller amount of butyrin is present. it is made from the fats obtained from cattle and hogs. this fat is churned up with milk, or a small amount of butter is added, in order to furnish sufficient butyrin to impart the butter flavor. ~saponification.~ when an ethereal salt is heated with an alkali a reaction expressed by the following equation takes place: c_{ }h_{ }no_{ } + koh = c_{ }h_{ }oh + kno_{ }. this process is known as _saponification_, since it is the one which takes place in the manufacture of soaps. the ordinary soaps are made by heating fats with a solution of sodium hydroxide. the reactions involved may be illustrated by the following equation representing the reaction between palmitin and sodium hydroxide: c_{ }h_{ }(c_{ }h_{ }o_{ })_{ } + naoh = nac_{ }h_{ }o_{ } + c_{ }h_{ }(oh)_{ }. in accordance with this equation the ethereal salts in the fats are converted into glycerin and the sodium salts of the corresponding acids. the sodium salts are separated and constitute the soaps. these salts are soluble in water. when added to water containing calcium salts the insoluble calcium palmitate and stearate are precipitated. magnesium salts act in a similar way. it is because of these facts that soap is used up by hard waters. ethers when ethyl alcohol is heated to ° with sulphuric acid the reaction expressed by the following equation takes place: c_{ }h_{ }oh = (c_{ }h_{ })_{ }o + h_{ }o. the resulting compound, (c_{ }h_{ })_{ }o, is ordinary ether and is the most important member of the class of compounds called _ethers_. ordinarily ether is a light, very inflammable liquid boiling at °. it is used as a solvent for organic substances and as an anæsthetic in surgical operations. ketones the most common member of this group is acetone (c_{ }h_{ }o), a colorless liquid obtained when wood is heated in the absence of air. it is used in the preparation of other organic compounds, especially chloroform. organic bases this group includes a number of compounds, all of which contain nitrogen as well as carbon. they are characterized by combining directly with acids to form salts, and in this respect they resemble ammonia. they may, indeed, be regarded as derived from ammonia by displacing a part or all of the hydrogen present in ammonia by hydrocarbon radicals. among the simplest of these compounds may be mentioned methylamine (ch_{ }nh_{ }) and ethylamine (c_{ }h_{ }nh_{ }). these two compounds are gases and are formed in the distillation of wood and bones. pyridine (c_{ }h_{ }n) and quinoline (c_{ }h_{ }n) are liquids present in small amounts in coal tar, and also in the liquid obtained by the distillation of bones. most of the compounds now classified under the general name of _alkaloids_ (which see) also belong to this group. carbohydrates the term "carbohydrate" is applied to a class of compounds which includes the sugars, starch, and allied bodies these compounds contain carbon, hydrogen, and oxygen the last two elements generally being present in the proportion in which they combine to form water. the most important members of this class are the following: cane sugar c_{ }h_{ }o_{ }. milk sugar c_{ }h_{ }o_{ }. dextrose c_{ }h_{ }o_{ }. levulose c_{ }h_{ }o_{ }. cellulose c_{ }h_{ }o_{ }. starch c_{ }h_{ } _{ }. ~cane sugar~ (c_{ }h_{ }o_{ }). this is the well-known substance commonly called sugar. it occurs in many plants especially in the sugar cane and sugar beet. it was formerly obtained almost entirely from the sugar cane, but at present the greatest amount of it comes from the sugar beet. the juice from the cane or beet contains the sugar in solution along with many impurities. these impurities are removed, and the resulting solution is then evaporated until the sugar crystallizes out. the evaporation is conducted in closed vessels from which the air is partially exhausted. in this way the boiling point of the solution is lowered and the charring of the sugar is prevented. it is impossible to remove all the sugar from the solution. in preparing sugar from sugar cane the liquors left after separating as much of it as possible from the juice of the cane constitute ordinary molasses. maple sugar is made by the evaporation of the sap obtained from a species of the maple tree. its sweetness is due to the presence of cane sugar, other products present in the maple sap imparting the distinctive flavor. when a solution of cane sugar is heated with hydrochloric or other dilute mineral acid, two compounds, dextrose and levulose, are formed in accordance with the following equation: c_{ }h_{ }o_{ } + h_{ }o = c_{ }h_{ }o_{ } + c_{ }h_{ }o_{ }. this same change is brought about by the action of an enzyme present in the yeast plant. when yeast is added to a solution of cane sugar fermentation is set up. the cane sugar, however, does not ferment directly: the enzyme in the yeast first transforms the sugar into dextrose and levulose, and these sugars then undergo alcoholic fermentation. when heated to ° cane sugar melts; if the temperature is increased to about °, a partial decomposition takes place and a brown substance known as caramel forms. this is used largely as a coloring matter. ~milk sugar~ (c_{ }h_{ }o_{ }). this sugar is present in the milk of all mammals. the average composition of cow's milk is as follows: water . % casein (nitrogenous matter) . butter fat . milk sugar . mineral matter . when _rennin_, an enzyme obtained from the stomach of calves, is added to milk, the casein separates and is used in the manufacture of cheese. the remaining liquid contains the milk sugar which separates on evaporation; it resembles cane sugar in appearance but is not so sweet or soluble. the souring of milk is due to the fact that the milk sugar present undergoes _lactic fermentation_ in accordance with the equation c_{ }h_{ }o_{ } + h_{ }o = c_{ }h_{ }o_{ }. the lactic acid formed causes the separation of the casein, thus giving the well-known appearance of sour milk. ~isomeric compounds.~ it will be observed that cane sugar and milk sugar have the same formulas. their difference in properties is due to the different arrangement of the atoms in the molecule. such compounds are said to be isomeric. dextrose and levulose are also isomeric. ~dextrose~ (_grape sugar, glucose_) (c_{ }h_{ }o_{ }). this sugar is present in many fruits and is commonly called grape sugar because of its presence in grape juice. it can be obtained by heating cane sugar with dilute acids, as explained above; also by heating starch with dilute acids, the change being as follows: c_{ }h_{ } _{ } + h_{ }o = c_{ }h_{ }o_{ }. pure dextrose is a white crystalline solid, readily soluble in water, and is not so sweet as cane sugar. in the presence of yeast it undergoes alcoholic fermentation. it is prepared from starch in large quantities, and being less expensive than cane sugar, is used as a substitute for it in the manufacture of jellies, jams, molasses, candy, and other sweets. the product commonly sold under the name of _glucose_ contains about % of dextrose. ~levulose~ _(fruit sugar)_(c_{ }h_{ }o_{ }). this sugar is a white solid which occurs along with dextrose in fruits and honey. it undergoes alcoholic fermentation in the presence of yeast. ~cellulose~ (c_{ }h_{ }o_{ }). this forms the basis of all woody fibers. cotton and linen are nearly pure cellulose. it is insoluble in water, alcohol, and dilute acids. sulphuric acid slowly converts it into dextrose. nitric acid forms nitrates similar to nitroglycerin in composition and explosive properties. these nitrates are variously known as nitrocellulose, pyroxylin, and gun cotton. when exploded they yield only colorless gases; hence they are used especially in the manufacture of smokeless gunpowder. _collodion_ is a solution of nitrocellulose in a mixture of alcohol and ether. _celluloid_ is a mixture of nitrocellulose and camphor. _paper_ consists mainly of cellulose, the finer grades being made from linen and cotton rags, and the cheaper grades from straw and wood. ~starch~ (c_{ }h_{ }o_{ }). this is by far the most abundant carbohydrate found in nature, being present especially in seeds and tubers. in the united states it is obtained chiefly from corn, nearly % of which is starch. in europe it is obtained principally from the potato. it consists of minute granules and is practically insoluble in cold water. these granules differ somewhat in appearance, according to the source of the starch, so that it is often possible to determine from what plant the starch was obtained. when heated with water the granules burst and the starch partially dissolves. dilute acids, as well as certain enzymes, convert it into dextrose or similar sugars. when seeds germinate the starch present is converted into soluble sugars, which are used as food for the growing plant. ~chemical changes in bread making.~ the average composition of wheat flour is as follows: water. . % protein (nitrogenous matter) . fats . starch . mineral matter . in making bread the flour is mixed with water and yeast, and the resulting dough set aside in a warm place for a few hours. the yeast first converts a portion of the starch into dextrose or a similar sugar, which then undergoes alcoholic fermentation. the carbon dioxide formed escapes through the dough, making it light and porous. the yeast plant thrives best at about °; hence the necessity for having the dough in a warm place. if the temperature rises above °, the vitality of the yeast is destroyed and fermentation ceases. in baking the bread, the heat expels the alcohol and also expands the bubbles of carbon dioxide caught in the dough, thus increasing its lightness. some derivatives of benzene attention has been called to the complex nature of coal tar. among the compounds present are the hydrocarbons, benzene, toluene, naphthalene, and anthracene. these compounds are not only useful in themselves but serve for the preparation of many other important compounds known under the general name of coal-tar products. ~nitrobenzene~ (_oil of myrbane_) (c_{ }h_{ }no_{ }). when benzene is treated with nitric acid a reaction takes place which is expressed by the following equation: c_{ }h_{ } + hno_{ } = c_{ }h_{ }no_{ } + h_{ }o. the product c_{ }h_{ }no_{ } is called nitrobenzene. it is a slightly yellowish poisonous liquid, with a characteristic odor. its main use is in the manufacture of aniline. ~aniline~ (c_{ }h_{ }nh_{ }). when nitrobenzene is heated with iron and hydrochloric acid the hydrogen evolved by the action of the iron upon the acid reduces the nitrobenzene in accordance with the following equation: c_{ }h_{ }no_{ } + h = c_{ }h_{ }nh_{ } + h_{ }o. the resulting compound is known as aniline, a liquid boiling at °. when first prepared it is colorless, but darkens on standing. large quantities of it are used in the manufacture of the _aniline or coal-tar dyes_, which include many important compounds. ~carbolic acid~ (c_{ }h_{ }oh). this compound, sometimes known as _phenol_, occurs in coal tar, and is also prepared from benzene. it forms colorless crystals which are very soluble in water. it is strongly corrosive and very poisonous. ~naphthalene and anthracene.~ these are hydrocarbons occurring along with benzene in coal tar. they are white solids, insoluble in water. the well-known _moth balls_ are made of naphthalene. large quantities of naphthalene are used in the preparation of _indigo_, a dye formerly obtained from the indigo plant, but now largely prepared by laboratory methods. similarly anthracene is used in the preparation of the dye _alizarin_, which was formerly obtained from the madder root. the alkaloids this term is applied to a group of compounds found in many plants and trees. they all contain nitrogen, and most of them are characterized by their power to combine with acids to form salts. this property is indicated by the name alkaloids, which signifies alkali-like. the salts are soluble in water, and on this account are more largely used than the free alkaloids, which are insoluble in water. many of the alkaloids are used in medicine, some of the more important ones being given below. ~quinine.~ this alkaloid occurs along with a number of others in the bark of certain trees which grow in districts in south america and also in java and other tropical islands. it is a white solid, and its sulphate is used in medicine in the treatment of fevers. ~morphine.~ when incisions are made in the unripe capsules of one of the varieties of the poppy plant, a milky juice exudes which soon thickens. this is removed and partially dried. the resulting substance is the ordinary _opium_ which contains a number of alkaloids, the principal one being morphine. this alkaloid is a white solid and is of great service in medicine. among the other alkaloids may be mentioned the following: _nicotine_, a very poisonous liquid, the salts of which occur in the leaves of the tobacco plant; _cocaine_, a crystalline solid present in coca leaves and used in medicine as a local anæsthetic; _atropine_, a solid present in the berry of the deadly nightshade, and used in the treatment of diseases of the eye; _strychnine_, a white, intensely poisonous solid present in the seeds of the members of the _strychnos_ family. index acetaldehyde acetic acid acetone acetylene series acids binary characteristics definition dibasic familiar monobasic nomenclature organic preparation strength ternary undissociated acker furnace, agate air a mechanical mixture carbon dioxide in changes in composition liquid nitrogen in oxygen in poisonous effects of exhaled properties quantitative analysis of regarded as an element standard for density water vapor in alabaster alchemists alchemy alcohol, common denatured ethyl methyl wood alcohols aldehydes alizarin alkali , family alkaline-earth family alkaloids allotropic forms alloys alum ammonium ammonium chrome ammonium iron baking powders potassium potassium chrome potassium iron aluminates aluminium bronze , chloride family hydroxide metallurgy occurrence oxide preparation properties silicates uses amalgam amethyst , ammonia composition preparation properties uses ammonium acid carbonate carbonate chloride compounds ammonium hydrosulphide hydroxide molybdate oxalate sulphate sulphide sulphide, yellow analysis anhydride carbonic chromic nitric nitrous phosphoric sulphuric anhydrite aniline anion anode anthracene antimony acids alloys chloride metallic properties occurrence oxides preparation properties sulphides apatite , , aqua ammonia aqua regia aqueous tension argon arsenic acids antidote marsh's test occurrence oxides preparation properties sulphides white arsenopyrites arsine asbestos , atmosphere constituents function of constituents atomic hypothesis theory and laws of matter and radium weights, accurate determination and general properties and specific heats calculation of dalton's method direct determination from molecular weights relation to equivalent standard for steps in determining atoms size atropine aurates avogadro's hypothesis and chemical calculations and molecular weights azote azurite babbitt metal bacteria decomposition of organic matter by nitrifying baking powders , alum soda barium chloride nitrate oxides sulphate barytes bases characteristics definition familiar nomenclature organic strength undissociated basic lining process bauxite beer benzene derivatives series benzine bessemer process bismuth basic salts chloride nitrate occurrence oxides preparation salts, hydrolysis of subnitrate uses bismuthyl chloride blast furnace lamp bleaching powder bleaching by chlorine by sulphurous acid boiler scale bone ash bone black borax bead bornite boron , acids fluoride hydride occurrence oxides preparation properties brass bread making bromides bromine occurrence oxygen compounds preparation properties bronze aluminium , butter fat butyric acid by-product cadmium compounds cæsium calamine calcite calcium carbide , carbonate chloride fluoride hydroxide occurrence oxide phosphate , preparation sulphate calomel calorie caramel carbohydrates carbolic acid carbon allotropic forms amorphous compounds crystalline forms cycle in nature dioxide and bases and plant life in air occurrence preparation properties solid disulphide , family hydrogen compounds monoxide occurrence oxides properties pure retort uses carbonates acid carbonic acid carborundum carnallite casein cassiterite catalysis catalyzers cathode cation caustic potash soda celestite celluloid cellulose cement ceramic industries cerium chalcedony chalcocite chalcopyrite chalk chamber acid changes, physical and chemical charcoal chemical affinity changes compounds equilibrium properties chemistry, definition chili saltpeter , chinaware chloric acid chlorides chlorine bleaching action chemical properties family historical occurrence oxides oxygen acids preparation properties chloroform chloroplatinic acid chlorous acid chromates chrome alum chromic acid anhydride chloride hydroxide sulphate sulphide chromite chromium a base-forming element an acid-forming element occurrence cinnabar citric acid clay coal gas products tar cobalt compounds cocaine coke collodion colemanite combining weights combustion broad sense in air phlogiston theory products spontaneous supporters compounds, chemical isomeric of metals, preparation structure of conservation of energy of matter contact process converter, bessemer copper acetate alloys of family hydroxide metallurgy occurrence ores oxide properties refining sulphate sulphide uses copperas coral corrosive sublimate corundum cream of tartar crocoisite cryolite , crystallization water of , crystallography crystals axes of systems cupric compounds cuprite cuprous compounds chloride oxide cyanides solutions are alkaline dalton's atomic hypothesis decay decomposition of organic matter decrepitation deliquescence density of gases desiccating agents developers dewar bulb dextrose diamond dichromates dichromic acid dimorphous substances dissociation and boiling point and freezing point equations of extent of distillation dogtooth spar dolomite double decomposition drummond light dyeing dynamite earth metals efflorescence electric furnace electro-chemical industries electrode electrolysis of sodium chloride of sodium sulphate of water , electrolytes electrolytic dissociation electroplating electrotyping elements, definition atomic weights earlier classification names natural groups number of occurrence periodic division physical state symbols of emery energy and plant life chemical conservation of transformation of enzyme epsom salts equations are quantitative knowledge requisite for not algebraic reading of equilibrium chemical in solution point of equivalent determination of elements with more than one relation to atomic weight etching ether ethereal salts ethers ethylamine ethylene series eudiometer evaporation families in periodic groups triads family resemblances fats fatty acid series feldspar , fermentation acetic alcoholic , lactic ferric chloride hydroxide salts reduction sulphate ferrochromium, ferromanganese ferrosilicon ferrous carbonate salts oxidation of sulphate sulphide fertilizers filtration , beds fire damp flames appearance blowpipe bunsen conditions for hydrogen luminosity oxidizing oxyhydrogen reactions reducing structure flash lights flint fluorides fluorine fluorspar , fluosilicic acid flux fool's gold formaldehyde formalin formic acid formulas how determined structural fractional distillation franklinite fuels furnace, arc electric resistance fusion methods galena gallium galvanized iron gas, collection of coal fuel illuminating measurement of natural purification of water gases, table gasoline german silver , germanium germs, effect of cold on in air in water glass coloring of etching of molding of nature of varieties glauber's salt glazing glucose glycerin nitrates of gold alloys chloride coin extraction of in copper mining occurrence properties refining of telluride goldschmidt method , gram-molecular weight granite graphite gun cotton metal powder gypsite gypsum halogens hard water heat of reaction helium , hematite , homologous series hydriodic acid hydrobromic acid hydrocarbons , properties series substitution products hydrochloric acid composition oxidation of preparation properties salts hydrocyanic acid hydrofluoric acid etching by salts of hydrogen dioxide explosive with oxygen occurrence preparation from acids preparation from water properties standard for atomic weights standard for molecular weights sulphide uses hydrolysis conditions affecting partial hydrosulphuric acid hydroxyl radical hypochlorous acid hypothesis avogadro's dalton's ice manufacture iceland spar indigo indium insoluble compounds iodic acid iodides iodine oxygen compounds preparation properties tincture iodoform , ions and electrolytes iridium iron alum cast compounds cyanides disulphide family metallurgy occurrence ores oxides pure varieties , wrought jasper kainite kaolin , kerosene ketones kieserite kindling temperature krypton lactic acid lampblack laughing gas law, definition of boyle of charles of combining volumes of conservation of energy of conservation of matter , of definite composition of dulong and petit of gay-lussac of multiple proportion of raoult periodic lead acetate , alloys basic carbonate carbonate chloride chromate insoluble compounds metallurgy nitrate occurrence oxides peroxide properties red soluble salts sugar of sulphate sulphide white le blanc soda process levulose lime air-slaked hypochlorite kilns slaked lime light limestone limewater limonite litharge lithium luminosity of flames lunar caustic magnesia alba usta magnesite magnesium basic carbonate carbonate cement chloride family hydroxide oxide silicates sulphate magnetite , malachite manganates manganese a base-forming element an acid-forming element in glass occurrence oxides manganic acid manganous salts marble marl marsh gas matches matte matter, classification conservation definition kinds measurement of gases mechanical mixtures meerschaum , mercuric chloride iodide oxide , sulphide mercurous chloride mercury iodides metallurgy occurrence oxides uses metaboric acid metallurgy metals , action on salts definition extraction occurrence preparation of compounds reduction from ores metaphosphoric acid metarsenic acid metasilicic acid metastannic acid methane , methylamine mexican onyx mica , microcosmic salt milk minerals minium mixed salts molasses molecular weights boiling-point method compared with oxygen determination freezing-point method oxygen standard of elements vapor-density method molecule molybdenum molybdic acid monazite sand mordants morphine mortar moth balls muriatic acid naphthalene naphthas nascent state natural gas sciences neon neutralization a definite act definition heat of partial niagara falls , nickel coin compounds plating nicotine nitrates nitric acid, action on metals decomposition oxidizing action preparation , properties salts nitric oxide nitrites nitrobenzene nitrocellulose nitrogen compounds in air occurrence , oxides preparation properties nitroglycerin nitrosulphuric acid nitrous acid oxide non-metals oil of myrbane of vitriol oleic acid olein oleomargarine onyx opal open-hearth process opium ores organic bases chemistry , matter, decomposition orpiment orthoarsenic acid orthophosphates orthophosphoric acid orthosilicic acid osmic acid osmium tetroxide oxalic acid oxidation , definition oxidizing agent oxygen and ozone commercial preparation history importance in air estimation, in air function, occurrence preparation properties standard for atomic weights two atoms in molecule oxyhydrogen blowpipe ozone , palladium palmitic acid palmitin paraffin paris green parkes's method for silver pearls perchloric acid periodic acid periodic division groups law law, imperfections law, value table table, arrangement permanent hardness permanganates permanganic acid peroxides petroleum pewter phenol philosopher's stone phlogiston phosphates phosphine phosphonium compounds phosphoric acid phosphorite phosphorous acid phosphorus acids family hydrogen compounds occurrence oxides preparation properties red yellow photography physical changes properties properties and periodic groups state physics , pitchblende plaster of paris platinic chloride platinized asbestos platinous chloride platinum a catalytic agent , pneumatic trough polyboric acid polyhalite polysilicic acids porcelain portland cement potash potassium acid carbonate acid sulphate acid sulphite alum, aluminium alum, chrome alum, iron and plant life aurate bromide carbonate chlorate chloride chromate cyanide dichromate ferricyanide ferrocyanide hydroxide hydroxide, action of halogens hypochlorite iodide manganate nitrate occurrence permanganate preparation sulphate precipitated chalk precipitation properties, chemical physical prussic acid puddling furnace pyridine pyrites pyrolusite pyrophosphoric acid quantitative equations quartz quicklime quinine quinoline radical radium reaction, classes addition completed heat of of decomposition of double decomposition of substitution reversible steps in realgar red lead phosphorus reducing agent reduction , rennin resemblances, family respiration rhodium rochelle salts rouge rubidium ruby ruthenium rutile safety lamp sal ammoniac soda salt saltpeter chili salts, acid, salts basic binary characteristics definition insoluble mixed nomenclature normal preparation by precipitation sand sandstone saponification sapphire satinspar scale schönite selenite selenium serpentine , shot , siderite silica silicates silicic acids silicides silicon acids dioxide fluoride hydride silver amalgamation process bromide chloride coin german in copper ores iodide metallurgy nitrate oxide parting of refining sulphide slag smalt smithsonite smokeless powder soaps soda ash soda lime sodium acetate bicarbonate carbonate carbonate, historical chloride chromates hydrogen carbonate hydroxide hyposulphite iodate nitrate occurrence peroxide phosphates preparation properties sulphate sulphite tetraborate thiosulphate solder , solubility of gases of solids solution and chemical action boiling point classes distribution of solids in electrolysis of freezing point of gases in liquids of solids in liquids properties saturated supersaturated solvay soda process sombrerite spectroscope sphalerite spiegel iron spinel spontaneous combustion stalactites stalagmites standard conditions stannates stannic acid chloride oxide stannous chloride starch stassfurt salts stearic acid stearin steel alloys properties tempering of tool stibine stibnite stoneware strontianite strontium hydroxide nitrate structural formulas structure of compounds strychnine substitution sugars cane fruit grape milk sulphates sulphides sulphites action of acids on sulphur allotropic forms chemical properties comparison with oxygen dioxide preparation properties extraction flowers of occurrence oxides physical properties trioxide uses varieties sulphuric acid action as an acid action on metals action on organic matter action on salts action on water fuming manufacture oxidizing action plant properties salts sulphuric anhydride sulphurous acid superphosphate of lime sylvine symbols synthesis table, alkali metals alkaline-earth metals alloys of copper aqueous tension appendix b atomic weights appendix a chlorine family composition of earth's crust composition of fuel gases constants of elements appendix b copper family elements appendix a gold and platinum metals hydrocarbons magnesium family manganese and chromium periodic arrangement phosphorus family silicon family solubility of gases in water solubility of salts solubility of salts at different temperatures tin and lead weights of gases appendix b talc , tartar emetic tartaric acid tellurium temporary hardness ternary acids salts tetraboric acid thallium theory, atomic definition value of thermite thio compounds thiosulphates thiosulphuric acid thorium tin block compounds crystals family foil metallurgy plate properties uses titanium , topaz triad families tungsten type metal , uranium valence a numerical property and combining ratios and equations and formulas and periodic groups and structure definition indirectly determined measure of variable vaseline venetian red verdigris vermilion vinegar vitriol, blue green oil of white volume and aqueous tension and pressure and temperature of combining gases water a compound and disease catalytic action of chalybeate chemical properties composition composition by volume composition by weight dissociation of distillation of electrolysis of , filtration of gas hard historical impurities in in air mineral occurrence of crystallization , physical properties purification of qualitative analysis quantitative analysis river sanitary analysis self-purification softening of standard substance synthesis uses of weights, atomic welsbach mantles , whisky wine witherite wood alcohol distillation wood's metal xenon yeast zinc alloys of blende chloride flowers of metallurgy occurrence oxide sulphate sulphide white zymase, announcements an elementary study of chemistry by william mcpherson, professor of chemistry in ohio state university, and william e. henderson, associate professor of chemistry in ohio state university. mo. cloth. pages. illustrated. list price, $ . ; mailing price, $ . this book is the outgrowth of many years of experience in the teaching of elementary chemistry. in its preparation the authors have steadfastly kept in mind the limitations of the student to whom chemistry is a new science. they have endeavored to present the subject in a clear, well-graded way, passing in a natural and logical manner from principles which are readily understood to those which are more difficult to grasp. the language is simple and as free as possible from unusual and technical phrases. those which are unavoidable are carefully defined. the outline is made very plain, and the paragraphing is designed to be of real assistance to the student in his reading. the book is in no way radical, either in the subject-matter selected or in the method of treatment. at the same time it is in thorough harmony with the most recent developments in chemistry, both in respect to theory and discovery. great care has been taken in the theoretical portions to make the treatment simple and well within the reach of the ability of an elementary student. the most recent discoveries have been touched upon where they come within the scope of an elementary text. especial attention has been given to the practical applications of chemistry, and to the description of the manufacturing processes in use at the present time. exercises in chemistry. by william mcpherson and william e. henderson. (_in press._) ginn & company publishers a first course in physics by robert a. millikan, associate professor of physics, and henry g. gale, assistant professor of physics in the university of chicago mo, cloth, pages, illustrated, $ . a laboratory course in physics _for secondary schools_ by robert a. millikan and henry g. gale mo, flexible cloth, pages, illustrated, cents this one-year course in physics has grown out of the experience of the authors in developing the work in physics at the school of education of the university of chicago, and in dealing with the physics instruction in affiliated high schools and academies. the book is a simple, objective presentation of the subject as opposed to a formal and mathematical one. it is intended for the third-year high-school pupils and is therefore adapted in style and method of treatment to the needs of students between the ages of fifteen and eighteen. it especially emphasizes the historical and practical aspects of the subject and connects the study very intimately with facts of daily observation and experience. the authors have made a careful distinction between the class of experiments which are essentially laboratory problems and those which belong more properly to the classroom and the lecture table. the former are grouped into a laboratory manual which is designed for use in connection with the text. the two books are not, however, organically connected, each being complete in itself. all the experiments included in the work have been carefully chosen with reference to their usefulness as effective classroom demonstrations. ginn and company publishers appendix a list of the elements, their symbols, and atomic weights the more important elements are marked with an asterisk o = *antimony sb . *argon a . *arsenic as . *barium ba . beryllium be . *bismuth bi . *boron b . *bromine br . *cadmium cd . cæsium cs . *calcium ca . *carbon c . cerium ce . *chlorine cl . *chromium cr . *cobalt co . columbium cb . *copper cu . erbium er . *fluorine f . gadolinium gd . gallium ga . germanium ge . *gold au . helium he . *hydrogen h . indium in . *iodine i . iridium ir . *iron fe . krypton kr . lanthanum la . *lead pb . lithium li . *magnesium mg . *manganese mn . *mercury hg . molybdenum mo . neodymium nd . neon ne . *nickel ni . *nitrogen n . osmium os . *oxygen o . palladium pd . *phosphorus p . *platinum pt . *potassium k . praseodymium pr . radium ra . rhodium rh . rubidium rb . ruthenium ru . samarium sm . scandium sc . selenium se . *silicon si . *silver ag . *sodium na . *strontium sr . *sulphur s . tantalum ta . tellurium te . terbium tb . thallium tl . thorium th . thulium tm . *tin sn . titanium ti . tungsten w . uranium u . vanadium v . xenon xe . ytterbium yb . yttrium yt . *zinc zn . zirconium zr . appendix b tension of aqueous vapor expressed in millimeters of mercury temperature pressure . . . . . . . . . . weight of liter of various gases measured under standard conditions acetylene . air . ammonia . carbon dioxide . carbon monoxide . chlorine . hydrocyanic acid . hydrochloric acid . hydrogen . hydrosulphuric acid . methane . nitric oxide . nitrogen . nitrous oxide . oxygen . sulphur dioxide . densities and melting points of some common elements density melting point aluminium . antimony . arsenic . -- barium . -- bismuth . boron . -- cadmium . cæsium . . calcium . -- carbon, diamond . -- " graphite . -- " charcoal . -- chromium . cobalt . copper . gold . iridium . iron . lead . lithium . magnesium . manganese . mercury . - . nickel . osmium . -- palladium . phosphorus . platinum . potassium . . rhodium . -- rubidium . . ruthenium . -- silicon . -- silver . sodium . . strontium . -- sulphur . . tin . titanium . -- zinc . the chemical history of a candle a course of lectures delivered before a juvenile audience at the royal institution by michael faraday, d.c.l., f.r.s. edited by william crookes, f.c.s. a new impression, with illustrations london chatto & windus preface from the primitive pine-torch to the paraffin candle, how wide an interval! between them how vast a contrast! the means adopted by man to illuminate his home at night, stamp at once his position in the scale of civilisation. the fluid bitumen of the far east, blazing in rude vessels of baked earth; the etruscan lamp, exquisite in form, yet ill adapted to its office; the whale, seal, or bear fat, filling the hut of the esquimaux or lap with odour rather than light; the huge wax candle on the glittering altar, the range of gas lamps in our streets,--all have their stories to tell. all, if they could speak (and, after their own manner, they can), might warm our hearts in telling, how they have ministered to man's comfort, love of home, toil, and devotion. surely, among the millions of fire-worshippers and fire-users who have passed away in earlier ages, _some_ have pondered over the mystery of fire; perhaps some clear minds have guessed shrewdly near the truth. think of the time man has lived in hopeless ignorance: think that only during a period which might be spanned by the life of one man, has the truth been known. atom by atom, link by link, has the reasoning chain been forged. some links, too quickly and too slightly made, have given way, and been replaced by better work; but now the great phenomena are known--the outline is correctly and firmly drawn--cunning artists are filling in the rest, and the child who masters these lectures knows more of fire than aristotle did. the candle itself is now made to light up the dark places of nature; the blowpipe and the prism are adding to our knowledge of the earth's crust; but the torch must come first. among the readers of this book some few may devote themselves to increasing the stores of knowledge: the lamp of science _must_ burn. "_alere flammam._" w. crookes. contents. lecture i. a candle: the flame--its sources--structure--mobility--brightness lecture ii. brightness of the flame--air necessary for combustion--production of water lecture iii. products: water from the combustion--nature of water--a compound--hydrogen lecture iv. hydrogen in the candle--burns into water--the other part of water--oxygen lecture v. oxygen present in the air--nature of the atmosphere--its properties--other products from the candle--carbonic acid--its properties lecture vi. carbon or charcoal--coal gas--respiration and its analogy to the burning op a candle--conclusion lecture on platinum. notes. the chemical history of a candle lecture i. a candle: the flame--its sources--structure--mobility--brightness. i purpose, in return for the honour you do us by coming to see what are our proceedings here, to bring before you, in the course of these lectures, the chemical history of a candle. i have taken this subject on a former occasion; and were it left to my own will, i should prefer to repeat it almost every year--so abundant is the interest that attaches itself to the subject, so wonderful are the varieties of outlet which it offers into the various departments of philosophy. there is not a law under which any part of this universe is governed which does not come into play, and is touched upon in these phenomena. there is no better, there is no more open door by which you can enter into the study of natural philosophy, than by considering the physical phenomena of a candle. i trust, therefore, i shall not disappoint you in choosing this for my subject rather than any newer topic, which could not be better, were it even so good. and before proceeding, let me say this also--that though our subject be so great, and our intention that of treating it honestly, seriously, and philosophically, yet i mean to pass away from all those who are seniors amongst us. i claim the privilege of speaking to juveniles as a juvenile myself. i have done so on former occasions--and, if you please, i shall do so again. and though i stand here with the knowledge of having the words i utter given to the world, yet that shall not deter me from speaking in the same familiar way to those whom i esteem nearest to me on this occasion. and now, my boys and girls, i must first tell you of what candles are made. some are great curiosities. i have here some bits of timber, branches of trees particularly famous for their burning. and here you see a piece of that very curious substance taken out of some of the bogs in ireland, called _candle-wood_,--a hard, strong, excellent wood, evidently fitted for good work as a resister of force, and yet withal burning so well that where it is found they make splinters of it, and torches, since it burns like a candle, and gives a very good light indeed. and in this wood we have one of the most beautiful illustrations of the general nature of a candle that i can possibly give. the fuel provided, the means of bringing that fuel to the place of chemical action, the regular and gradual supply of air to that place of action--heat and light--all produced by a little piece of wood of this kind, forming, in fact, a natural candle. but we must speak of candles as they are in commerce. here are a couple of candles commonly called dips. they are made of lengths of cotton cut off, hung up by a loop, dipped into melted tallow, taken out again and cooled, then re-dipped until there is an accumulation of tallow round the cotton. in order that you may have an idea of the various characters of these candles, you see these which i hold in my hand--they are very small, and very curious. they are, or were, the candles used by the miners in coal mines. in olden times the miner had to find his own candles; and it was supposed that a small candle would not so soon set fire to the fire-damp in the coal mines as a large one; and for that reason, as well as for economy's sake, he had candles made of this sort-- , , , or to the pound. they have been replaced since then by the steel-mill, and then by the davy-lamp, and other safety-lamps of various kinds. i have here a candle that was taken out of the _royal george_[ ], it is said, by colonel pasley. it has been sunk in the sea for many years, subject to the action of salt water. it shews you how well candles may be preserved; for though it is cracked about and broken a good deal, yet, when lighted, it goes on burning regularly, and the tallow resumes its natural condition as soon as it is fused. mr. field, of lambeth, has supplied me abundantly with beautiful illustrations of the candle and its materials. i shall therefore now refer to them. and, first, there is the suet--the fat of the ox--russian tallow, i believe, employed in the manufacture of these dips, which gay lussac, or some one who entrusted him with his knowledge, converted into that beautiful substance, stearin, which you see lying beside it. a candle, you know, is not now a greasy thing like an ordinary tallow candle, but a clean thing, and you may almost scrape off and pulverise the drops which fall from it without soiling anything. this is the process he adopted[ ]:--the fat or tallow is first boiled with quick-lime, and made into a soap, and then the soap is decomposed by sulphuric acid, which takes away the lime, and leaves the fat re-arranged as stearic acid, whilst a quantity of glycerin is produced at the same time. glycerin--absolutely a sugar, or a substance similar to sugar--comes out of the tallow in this chemical change. the oil is then pressed out of it; and you see here this series of pressed cakes, shewing how beautifully the impurities are carried out by the oily part as the pressure goes on increasing, and at last you have left that substance which is melted, and cast into candles as here represented. the candle i have in my hand is a stearin candle, made of stearin from tallow in the way i have told you. then here is a sperm candle, which comes from the purified oil of the spermaceti whale. here also are yellow bees-wax and refined bees-wax, from which candles are made. here, too, is that curious substance called paraffin, and some paraffin candles made of paraffin obtained from the bogs of ireland. i have here also a substance brought from japan, since we have forced an entrance into that out-of-the-way place--a sort of wax which a kind friend has sent me, and which forms a new material for the manufacture of candles. and how are these candles made? i have told you about dips, and i will shew you how moulds are made. let us imagine any of these candles to be made of materials which can be cast. "cast!" you say. "why, a candle is a thing that melts; and surely if you can melt it, you can cast it." not so. it is wonderful, in the progress of manufacture, and in the consideration of the means best fitted to produce the required result, how things turn up which one would not expect beforehand. candles cannot always be cast. a wax candle can never be cast. it is made by a particular process, which i can illustrate in a minute or two: but i must not spend much time on it. wax is a thing which, burning so well, and melting so easily in a candle, cannot be cast. however, let us take a material that can be cast. here is a frame, with a number of moulds fastened in it. the first thing to be done is to put a wick through them. here is one--a plaited wick, which does not require snuffing[ ]--supported by a little wire. it goes to the bottom, where it is pegged in--the little peg holding the cotton tight, and stopping the aperture, so that nothing fluid shall run out. at the upper part there is a little bar placed across, which stretches the cotton and holds it in the mould. the tallow is then melted, and the moulds are filled. after a certain time, when the moulds are cool, the excess of tallow is poured off at one corner, and then cleaned off altogether, and the ends of the wick cut away. the candles alone then remain in the mould, and you have only to upset them, as i am doing, when out they tumble, for the candles are made in the form of cones, being narrower at the top than at the bottom; so that what with their form and their own shrinking, they only need a little shaking, and out they fall. in the same way are made these candles of stearin and of paraffin. it is a curious thing to see how wax candles are made. a lot of cottons are hung upon frames, as you see here, and covered with metal tags at the ends to keep the wax from covering the cotton in those places. these are carried to a heater, where the wax is melted. as you see, the frames can turn round; and as they turn, a man takes a vessel of wax and pours it first down one, and then the next and the next, and so on. when he has gone once round, if it is sufficiently cool, he gives the first a second coat, and so on until they are all of the required thickness. when they have been thus clothed, or fed, or made up to that thickness, they are taken off, and placed elsewhere. i have here, by the kindness of mr. field, several specimens of these candles. here is one only half-finished. they are then taken down, and well rolled upon a fine stone slab, and the conical top is moulded by properly shaped tubes, and the bottoms cut off and trimmed. this is done so beautifully that they can make candles in this way weighing exactly four, or six, to the pound, or any number they please. we must not, however, take up more time about the mere manufacture, but go a little further into the matter. i have not yet referred you to luxuries in candles (for there is such a thing as luxury in candles). see how beautifully these are coloured: you see here mauve, magenta, and all the chemical colours recently introduced, applied to candles. you observe, also, different forms employed. here is a fluted pillar most beautifully shaped; and i have also here some candles sent me by mr. pearsall, which are ornamented with designs upon them, so that as they burn you have as it were a glowing sun above, and a bouquet of flowers beneath. all, however, that is fine and beautiful is not useful. these fluted candles, pretty as they are, are bad candles; they are bad because of their external shape. nevertheless, i shew you these specimens sent to me from kind friends on all sides, that you may see what is done, and what may be done in this or that direction; although, as i have said, when we come to these refinements, we are obliged to sacrifice a little in utility. now, as to the light of the candle. we will light one or two, and set them at work in the performance of their proper functions. you observe a candle is a very different thing from a lamp. with a lamp you take a little oil, fill your vessel, put in a little moss or some cotton prepared by artificial means, and then light the top of the wick. when the flame runs down the cotton to the oil, it gets extinguished, but it goes on burning in the part above. now, i have no doubt you will ask, how is it that the oil, which will not burn of itself, gets up to the top of the cotton, where it will burn? we shall presently examine that; but there is a much more wonderful thing about the burning of a candle than this. you have here a solid substance with no vessel to contain it; and how is it that this solid substance can get up to the place where the flame is? how is it that this solid gets there, it not being a fluid? or, when it is made a fluid, then how is it that it keeps together? this is a wonderful thing about a candle. we have here a good deal of wind, which will help us in some of our illustrations, but tease us in others; for the sake, therefore, of a little regularity, and to simplify the matter, i shall make a quiet flame--for who can study a subject when there are difficulties in the way not belonging to it? here is a clever invention of some costermonger or street stander in the market-place for the shading of their candles on saturday nights, when they are selling their greens, or potatoes, or fish. i have very often admired it. they put a lamp-glass round the candle, supported on a kind of gallery, which clasps it, and it can be slipped up and down as required. by the use of this lamp-glass, employed in the same way, you have a steady flame, which you can look at, and carefully examine, as i hope you will do, at home. you see, then, in the first instance, that a beautiful cup is formed. as the air comes to the candle it moves upwards by the force of the current which the heat of the candle produces, and it so cools all the sides of the wax, tallow, or fuel, as to keep the edge much cooler than the part within; the part within melts by the flame that runs down the wick as far as it can go before it is extinguished, but the part on the outside does not melt. if i made a current in one direction, my cup would be lop-sided, and the fluid would consequently run over,--for the same force of gravity which holds worlds together holds this fluid in a horizontal position, and if the cup be not horizontal, of course the fluid will run away in guttering. you see, therefore, that the cup is formed by this beautifully regular ascending current of air playing upon all sides, which keeps the exterior of the candle cool. no fuel would serve for a candle which has not the property of giving this cup, except such fuel as the irish bogwood, where the material itself is like a sponge, and holds its own fuel. you see now why you would have had such a bad result if you were to burn these beautiful candles that i have shewn you, which are irregular, intermittent in their shape, and cannot therefore have that nicely-formed edge to the cup which is the great beauty in a candle. i hope you will now see that the perfection of a process--that is, its utility--is the better point of beauty about it. it is not the best looking thing, but the best acting thing, which is the most advantageous to us. this good-looking candle is a bad burning one. there will be a guttering round about it because of the irregularity of the stream of air and the badness of the cup which is formed thereby. you may see some pretty examples (and i trust you will notice these instances) of the action of the ascending current when you have a little gutter run down the side of a candle, making it thicker there than it is elsewhere. as the candle goes on burning, that keeps its place and forms a little pillar sticking up by the side, because, as it rises higher above the rest of the wax or fuel, the air gets better round it, and it is more cooled and better able to resist the action of the heat at a little distance. now, the greatest mistakes and faults with regard to candles, as in many other things, often bring with them instruction which we should not receive if they had not occurred. we come here to be philosophers; and i hope you will always remember that whenever a result happens, especially if it be new, you should say, "what is the cause? why does it occur?" and you will in the course of time find out the reason. then, there is another point about these candles which will answer a question,--that is, as to the way in which this fluid gets out of the cup, up the wick, and into the place of combustion. you know that the flames on these burning wicks in candles made of beeswax, stearin, or spermaceti, do not run down to the wax or other matter, and melt it all away, but keep to their own right place. they are fenced off from the fluid below, and do not encroach on the cup at the sides. i cannot imagine a more beautiful example than the condition of adjustment under which a candle makes one part subserve to the other to the very end of its action. a combustible thing like that, burning away gradually, never being intruded upon by the flame, is a very beautiful sight; especially when you come to learn what a vigorous thing flame is--what power it has of destroying the wax itself when it gets hold of it, and of disturbing its proper form if it come only too near. but how does the flame get hold of the fuel? there is a beautiful point about that--_capillary attraction_[ ]. "capillary attraction!" you say,--"the attraction of hairs." well, never mind the name: it was given in old times, before we had a good understanding of what the real power was. it is by what is called capillary attraction that the fuel is conveyed to the part where combustion goes on, and is deposited there, not in a careless way, but very beautifully in the very midst of the centre of action which takes place around it. now, i am going to give you one or two instances of capillary attraction. it is that kind of action or attraction which makes two things that do not dissolve in each other still hold together. when you wash your hands, you wet them thoroughly; you take a little soap to make the adhesion better, and you find your hand remains wet. this is by that kind of attraction of which i am about to speak. and, what is more, if your hands are not soiled (as they almost always are by the usages of life), if you put your finger into a little warm water, the water will creep a little way up the finger, though you may not stop to examine it. i have here a substance which is rather porous--a column of salt--and i will pour into the plate at the bottom, not water, as it appears, but a saturated solution of salt which cannot absorb more; so that the action which you see will not be due to its dissolving anything. we may consider the plate to be the candle, and the salt the wick, and this solution the melted tallow. (i have coloured the fluid, that you may see the action better.) you observe that, now i pour in the fluid, it rises and gradually creeps up the salt higher and higher; and provided the column does not tumble over, it will go to the top. [illustration: fig. .] if this blue solution were combustible, and we were to place a wick at the top of the salt, it would burn as it entered into the wick. it is a most curious thing to see this kind of action taking place, and to observe how singular some of the circumstances are about it. when you wash your hands, you take a towel to wipe off the water; and it is by that kind of wetting, or that kind of attraction which makes the towel become wet with water, that the wick is made wet with the tallow. i have known some careless boys and girls (indeed, i have known it happen to careful people as well) who, having washed their hands and wiped them with a towel, have thrown the towel over the side of the basin, and before long it has drawn all the water out of the basin and conveyed it to the floor, because it happened to be thrown over the side in such a way as to serve the purpose of a syphon.[ ] that you may the better see the way in which the substances act one upon another, i have here a vessel made of wire gauze filled with water, and you may compare it in its action to the cotton in one respect, or to a piece of calico in the other. in fact, wicks are sometimes made of a kind of wire gauze. you will observe that this vessel is a porous thing; for if i pour a little water on to the top, it will run out at the bottom. you would be puzzled for a good while if i asked you what the state of this vessel is, what is inside it, and why it is there? the vessel is full of water, and yet you see the water goes in and runs out as if it were empty. in order to prove this to you, i have only to empty it. the reason is this,--the wire, being once wetted, remains wet; the meshes are so small that the fluid is attracted so strongly from the one side to the other, as to remain in the vessel although it is porous. in like manner the particles of melted tallow ascend the cotton and get to the top; other particles then follow by their mutual attraction for each other, and as they reach the flame they are gradually burned. here is another application of the same principle. you see this bit of cane. i have seen boys about the streets, who are very anxious to appear like men, take a piece of cane, and light it and smoke it, as an imitation of a cigar. they are enabled to do so by the permeability of the cane in one direction, and by its capillarity. if i place this piece of cane on a plate containing some camphin (which is very much like paraffin in its general character), exactly in the same manner as the blue fluid rose through the salt will this fluid rise through the piece of cane. there being no pores at the side, the fluid cannot go in that direction, but must pass through its length. already the fluid is at the top of the cane: now i can light it and make it serve as a candle. the fluid has risen by the capillary attraction of the piece of cane, just as it does through the cotton in the candle. now, the only reason why the candle does not burn all down the side of the wick is, that the melted tallow extinguishes the flame. you know that a candle, if turned upside down, so as to allow the fuel to run upon the wick, will be put out. the reason is, that the flame has not had time to make the fuel hot enough to burn, as it does above, where it is carried in small quantities into the wick, and has all the effect of the heat exercised upon it. there is another condition which you must learn as regards the candle, without which you would not be able fully to understand the philosophy of it, and that is the vaporous condition of the fuel. in order that you may understand that, let me shew you a very pretty, but very common-place experiment. if you blow a candle out cleverly, you will see the vapour rise from it. you have, i know, often smelt the vapour of a blown-out candle--and a very bad smell it is; but if you blow it out cleverly, you will be able to see pretty well the vapour into which this solid matter is transformed. i will blow out one of these candles in such a way as not to disturb the air around it, by the continuing action of my breath; and now, if i hold a lighted taper two or three inches from the wick, you will observe a train of fire going through the air till it reaches the candle. i am obliged to be quick and ready, because, if i allow the vapour time to cool, it becomes condensed into a liquid or solid, or the stream of combustible matter gets disturbed. now, as to the shape or form of the flame. it concerns us much to know about the condition which the matter of the candle finally assumes at the top of the wick--where you have such beauty and brightness as nothing but combustion or flame can produce. [illustration: fig. .] you have the glittering beauty of gold and silver, and the still higher lustre of jewels, like the ruby and diamond; but none of these rival the brilliancy and beauty of flame. what diamond can shine like flame? it owes its lustre at night-time to the very flame shining upon it. the flame shines in darkness, but the light which the diamond has is as nothing until the flame shine upon it, when it is brilliant again. the candle alone shines by itself, and for itself, or for those who have arranged the materials. now, let us look a little at the form of the flame as you see it under the glass shade. it is steady and equal; and its general form is that which is represented in the diagram, varying with atmospheric disturbances, and also varying according to the size of the candle. it is a bright oblong--brighter at the top than towards the bottom--with the wick in the middle, and besides the wick in the middle, certain darker parts towards the bottom, where the ignition is not so perfect as in the part above. [illustration: fig. .] i have a drawing here, sketched many years ago by hooke, when he made his investigations. it is the drawing of the flame of a lamp, but it will apply to the flame of a candle. the cup of the candle is the vessel or lamp, the melted spermaceti is the oil, and the wick is common to both. upon that he sets this little flame, and then he represents what is true--a certain quantity of matter rising about it which you do not see, and which, if you have not been here before, or are not familiar with the subject, you will not know of. he has here represented the parts of the surrounding atmosphere that are very essential to the flame, and that are always present with it. there is a current formed, which draws the flame out--for the flame which you see is really drawn out by the current, and drawn upward to a great height--just as hooke has here shewn you by that prolongation of the current in the diagram. you may see this by taking a lighted candle, and putting it in the sun so as to get its shadow thrown on a piece of paper. how remarkable it is that that thing which is light enough to produce shadows of other objects, can be made to throw its own shadow on a piece of white paper or card, so that you can actually see streaming round the flame something which is not part of the flame, but is ascending and drawing the flame upwards. now, i am going to imitate the sunlight, by applying the voltaic battery to the electric lamp. you now see our sun, and its great luminosity; and by placing a candle between it and the screen, we get the shadow of the flame. [illustration: fig. .] you observe the shadow of the candle and of the wick; then there is a darkish part, as represented in the diagram, and then a part which is more distinct. curiously enough, however, what we see in the shadow as the darkest part of the flame is, in reality, the brightest part; and here you see streaming upwards the ascending current of hot air, as shewn by hooke, which draws out the flame, supplies it with air, and cools the sides of the cup of melted fuel. i can give you here a little further illustration, for the purpose of shewing you how flame goes up or down; according to the current. i have here a flame--it is not a candle flame--but you can, no doubt, by this time, generalise enough to be able to compare one thing with another. what i am about to do is to change the ascending current that takes the flame upwards into a descending current. this i can easily do by the little apparatus you see before me. the flame, as i have said, is not a candle flame, but it is produced by alcohol, so that it shall not smoke too much. i will also colour the flame with another substance[ ], so that you may trace its course; for with the spirit alone you could hardly see well enough to have the opportunity of tracing its direction. by lighting this spirit-of-wine, we have then a flame produced; and you observe that when held in the air, it naturally goes upwards. [illustration: fig. ] you understand now easily enough why flames go up under ordinary circumstances--it is because of the draught of air by which the combustion is formed. but now, by blowing the flame down, you see i am enabled to make it go downwards into this little chimney--the direction of the current being changed. before we have concluded this course of lectures, we shall shew you a lamp in which the flame goes up and the smoke goes down, or the flame goes down and the smoke goes up. you see, then, that we have the power in this way of varying the flame in different directions. there are now some other points that i must bring before you. many of the flames you see here vary very much in their shape by the currents of air blowing around them in different directions; but we can, if we like, make flames so that they will look like fixtures, and we can photograph them--indeed, we have to photograph them--so that they become fixed to us, if we wish to find out everything concerning them. that, however, is not the only thing i wish to mention. if i take a flame sufficiently large, it does not keep that homogeneous, that uniform condition of shape, but it breaks out with a power of life which is quite wonderful. i am about to use another kind of fuel, but one which is truly and fairly a representative of the wax or tallow of a candle. i have here a large ball of cotton, which will serve as a wick. and, now that i have immersed it in spirit and applied a light to it, in what way does it differ from an ordinary candle? why, it differs very much in one respect, that we have a vivacity and power about it, a beauty and a life entirely different from the light presented by a candle. you see those fine tongues of flame rising up. you have the same general disposition of the mass of the flame from below upwards; but, in addition to that, you have this remarkable breaking out into tongues which you do not perceive in the case of a candle. now, why is this? i must explain it to you, because when you understand that perfectly, you will be able to follow me better in what i have to say hereafter. i suppose some here will have made for themselves the experiment i am going to shew you. am i right in supposing that anybody here has played at snapdragon? i do not know a more beautiful illustration of the philosophy of flame, as to a certain part of its history, than the game of snapdragon. first, here is the dish; and let me say, that when you play snapdragon properly, you ought to have the dish well-warmed; you ought also to have warm plums and warm brandy, which, however, i have not got. when you have put the spirit into the dish, you have the cup and the fuel; and are not the raisins acting like the wicks? i now throw the plums into the dish, and light the spirit, and you see those beautiful tongues of flame that i refer to. you have the air creeping in over the edge of the dish forming these tongues. why? because, through the force of the current and the irregularity of the action of the flame, it cannot flow in one uniform stream. the air flows in so irregularly that you have what would otherwise be a single image, broken up into a variety of forms, and each of these little tongues has an independent existence of its own. indeed, i might say, you have here a multitude of independent candles. you must not imagine, because you see these tongues all at once, that the flame is of this particular shape. a flame of that shape is never so at any one time. never is a body of flame, like that which you just saw rising from the ball, of the shape it appears to you. it consists of a multitude of different shapes, succeeding each other so fast that the eye is only able to take cognisance of them all at once. in former times, i purposely analysed a flame of that general character, and the diagram shews you the different parts of which it is composed. they do not occur all at once: it is only because we see these shapes in such rapid succession, that they seem to us to exist all at one time. [illustration: fig. .] it is too bad that we have not got further than my game of snapdragon; but we must not, under any circumstances, keep you beyond your time. it will be a lesson to me in future to hold you more strictly to the philosophy of the thing, than to take up your time so much with these illustrations. lecture ii. a candle: brightness of the flame--air necessary for combustion--production of water. we were occupied the last time we met in considering the general character and arrangement as regards the fluid portion of a candle, and the way in which that fluid got into the place of combustion. you see, when we have a candle burning fairly in a regular, steady atmosphere, it will have a shape something like the one shewn in the diagram, and will look pretty uniform, although very curious in its character. and now, i have to ask your attention to the means by which we are enabled to ascertain what happens in any particular part of the flame--why it happens, what it does in happening, and where, after all, the whole candle goes to: because, as you know very well, a candle being brought before us and burned, disappears, if burned properly, without the least trace of dirt in the candlestick--and this is a very curious circumstance. in order, then, to examine this candle carefully, i have arranged certain apparatus, the use of which you will see as i go on. here is a candle: i am about to put the end of this glass tube into the middle of the flame--into that part which old hooke has represented in the diagram as being rather dark, and which you can see at any time, if you will look at a candle carefully, without blowing it about. we will examine this dark part first. [illustration: fig. .] now, i take this bent glass tube, and introduce one end into that part of the flame, and you see at once that something is coming from the flame, out at the other end of the tube; and if i put a flask there, and leave it for a little while, you will see that something from the middle part of the flame is gradually drawn out, and goes through the tube and into that flask, and there behaves very differently from what it does in the open air. it not only escapes from the end of the tube, but falls down to the bottom of the flask like a heavy substance, as indeed it is. we find that this is the wax of the candle made into a vaporous fluid--not a gas. (you must learn the difference between a gas and a vapour: a gas remains permanent, a vapour is something that will condense.) if you blow out a candle, you perceive a very nasty smell, resulting from the condensation of this vapour. that is very different from what you have outside the flame; and, in order to make that more clear to you, i am about to produce and set fire to a larger portion of this vapour--for what we have in the small way in a candle, to understand thoroughly, we must, as philosophers, produce in a larger way, if needful, that we may examine the different parts. and now mr. anderson will give me a source of heat, and i am about to shew you what that vapour is. here is some wax in a glass flask, and i am going to make it hot, as the inside of that candle-flame is hot, and the matter about the wick is hot. [the lecturer placed some wax in a glass flask, and heated it over a lamp.] now, i dare say that is hot enough for me. you see that the wax i put in it has become fluid, and there is a little smoke coming from it. we shall very soon have the vapour rising up. i will make it still hotter, and now we get more of it, so that i can actually pour the vapour out of the flask into that basin, and set it on fire there. this, then, is exactly the same kind of vapour as we have in the middle of the candle; and that you may be sure this is the case, let us try whether we have not got here, in this flask, a real combustible vapour out of the middle of the candle. [taking the flask into which the tube from the candle proceeded, and introducing a lighted taper.] see how it burns. now, this is the vapour from the middle of the candle, produced by its own heat; and that is one of the first things you have to consider with respect to the progress of the wax in the course of its combustion, and as regards the changes it undergoes. i will arrange another tube carefully in the flame, and i should not wonder if we were able, by a little care, to get that vapour to pass through the tube to the other extremity, where we will light it, and obtain absolutely the flame of the candle at a place distant from it. now, look at that. is not that a very pretty experiment? talk about laying on gas--why, we can actually lay on a candle! and you see from this that there are clearly two different kinds of action--one the _production_ of the vapour, and the other the _combustion_ of it--both of which take place in particular parts of the candle. [illustration: fig. ] i shall get no vapour from that part which is already burnt. if i raise the tube (fig. ) to the upper part of the flame, so soon as the vapour has been swept out, what comes away will be no longer combustible: it is already burned. how burned? why, burned thus:--in the middle of the flame, where the wick is, there is this combustible vapour; on the outside of the flame is the air which we shall find necessary for the burning of the candle; between the two, intense chemical action takes place, whereby the air and the fuel act upon each other, and at the very same time that we obtain light the vapour inside is destroyed. if you examine where the heat of a candle is, you will find it very curiously arranged. suppose i take this candle, and hold a piece of paper close upon the flame, where is the heat of that flame? do you not see that it is _not_ in the inside? it is in a ring, exactly in the place where i told you the chemical action was; and even in my irregular mode of making the experiment, if there is not too much disturbance, there will always be a ring. this is a good experiment for you to make at home. take a strip of paper, have the air in the room quiet, and put the piece of paper right across the middle of the flame (i must not talk while i make the experiment), and you will find that it is burnt in two places, and that it is not burnt, or very little so, in the middle; and when you have tried the experiment once or twice, so as to make it nicely, you will be very interested to see where the heat is, and to find that it is where the air and the fuel come together. this is most important for us as we proceed with our subject. air is absolutely necessary for combustion; and, what is more, i must have you understand that _fresh_ air is necessary, or else we should be imperfect in our reasoning and our experiments. here is a jar of air. i place it over a candle, and it burns very nicely in it at first, shewing that what i have said about it is true; but there will soon be a change. see how the flame is drawing upwards, presently fading, and at last going out. and going out, why? not because it wants air merely, for the jar is as full now as it was before; but it wants pure, fresh air. the jar is full of air, partly changed, partly not changed; but it does not contain sufficient of the fresh air which is necessary for the combustion of a candle. these are all points which we, as young chemists, have to gather up; and if we look a little more closely into this kind of action, we shall find certain steps of reasoning extremely interesting. for instance, here is the oil-lamp i shewed you--an excellent lamp for our experiments--the old argand lamp. i now make it like a candle [obstructing the passage of air into the centre of the flame]; there is the cotton; there is the oil rising up it; and there is the conical flame. it burns poorly, because there is a partial restraint of air. i have allowed no air to get to it, save round the outside of the flame, and it does not burn well. i cannot admit more air from the outside, because the wick is large; but if, as argand did so cleverly, i open a passage to the middle of the flame, and so let air come in there, you will see how much more beautifully it burns. if i shut the air off, look how it smokes; and why? we have now some very interesting points to study. we have the case of the combustion of a candle; we have the case of a candle being put out by the want of air; and we have now the case of imperfect combustion; and this is to us so interesting, that i want you to understand it as thoroughly as you do the case of a candle burning in its best possible manner. i will now make a great flame, because we need the largest possible illustrations. here is a larger wick [burning turpentine on a ball of cotton]. all these things are the same as candles, after all. if we have larger wicks, we must have a larger supply of air, or we shall have less perfect combustion. look now at this black substance going up into the atmosphere; there is a regular stream of it. i have provided means to carry off the imperfectly burned part, lest it should annoy you. look at the soots that fly off from the flame: see what an imperfect combustion it is, because it cannot get enough air. what, then, is happening? why, certain things which are necessary to the combustion of a candle are absent, and very bad results are accordingly produced; but we see what happens to a candle when it is burnt in a pure and proper state of air. at the time when i shewed you this charring by the ring of flame on the one side of the paper, i might have also shewn you, by turning to the other side, that the burning of a candle produces the same kind of soot--charcoal or carbon. but, before i shew that, let me explain to you--as it is quite necessary for our purpose--that, though i take a candle and give you, as the general result, its combustion in the form of a flame, we must see whether combustion is always in this condition, or whether there are other conditions of flame; and we shall soon discover that there are, and that they are most important to us. i think, perhaps, the best illustration of such a point to us, as juveniles, is to shew the result of strong contrast. here is a little gunpowder. you know that gunpowder burns with flame--we may fairly call it flame. it contains carbon and other materials, which altogether cause it to burn with a flame. and here is some pulverised iron, or iron filings. now, i purpose burning these two things together. i have a little mortar in which i will mix them. (before i go into these experiments, let me hope that none of you, by trying to repeat them, for fun's sake, will do any harm. these things may all be very properly used if you take care; but without that, much mischief will be done.) well, then, here is a little gunpowder, which i put at the bottom of that little wooden vessel, and mix the iron filings up with it, my object being to make the gunpowder set fire to the filings and burn them in the air, and thereby shew the difference between substances burning with flame and not with flame. here is the mixture; and when i set fire to it, you must watch the combustion, and you will see that it is of two kinds. you will see the gunpowder burning with a flame, and the filings thrown up. you will see them burning too, but without the production of flame. they will each burn separately. [the lecturer then ignited the mixture.] there is the gunpowder, which burns with a flame; and there are the filings--they burn with a different kind of combustion. you see, then, these two great distinctions; and upon these differences depend all the utility and all the beauty of flame which we use for the purpose of giving out light. when we use oil, or gas, or candle, for the purpose of illumination, their fitness all depends upon these different kinds of combustion. there are such curious conditions of flame, that it requires some cleverness and nicety of discrimination to distinguish the kinds of combustion one from another. for instance, here is a powder which is very combustible, consisting, as you see, of separate little particles. it is called _lycopodium_[ ], and each of these particles can produce a vapour, and produce its own flame; but, to see them burning, you would imagine it was all one flame. i will now set fire to a quantity, and you will see the effect. we saw a cloud of flame, apparently in one body; but that rushing noise [referring to the sound produced by the burning] was a proof that the combustion was not a continuous or regular one. this is the lightning of the pantomimes, and a very good imitation. [the experiment was twice repeated by blowing lycopodium from a glass tube through a spirit-flame.] this is not an example of combustion like that of the filings i have been speaking of, to which we must now return. suppose i take a candle, and examine that part of it which appears brightest to our eyes. why, there i get these black particles, which already you have seen many times evolved from the flame, and which i am now about to evolve in a different way. i will take this candle and clear away the gutterage, which occurs by reason of the currents of air; and if i now arrange a glass tube so as just to dip into this luminous part, as in our first experiment, only higher, you see the result. in place of having the same white vapour that you had before, you will now have a black vapour. there it goes, as black as ink. it is certainly very different from the white vapour; and when we put a light to it, we shall find that it does not burn, but that it puts the light out. well, these particles, as i said before, are just the smoke of the candle; and this brings to mind that old employment which dean swift recommended to servants for their amusement, namely, writing on the ceiling of a room with a candle. but what is that black substance? why, it is the same carbon which exists in the candle. how comes it out of the candle? it evidently existed in the candle, or else we should not have had it here. and now i want you to follow me in this explanation. you would hardly think that all those substances which fly about london, in the form of soots and blacks, are the very beauty and life of the flame, and which are burned in it as those iron filings were burned here. here is a piece of wire gauze, which will not let the flame go through it; and i think you will see, almost immediately, that when i bring it low enough to touch that part of the flame which is otherwise so bright, that it quells and quenches it at once, and allows a volume of smoke to rise up. i want you now to follow me in this point,--that whenever a substance burns, as the iron filings burnt in the flame of gunpowder, without assuming the vaporous state (whether it becomes liquid or remains solid), it becomes exceedingly luminous. i have here taken three or four examples apart from the candle, on purpose to illustrate this point to you; because what i have to say is applicable to all substances, whether they burn or whether they do not burn,--that they are exceedingly bright if they retain their solid state, and that it is to this presence of solid particles in the candle-flame that it owes its brilliancy. here is a platinum-wire, a body which does not change by heat. if i heat it in this flame, see how exceedingly luminous it becomes. i will make the flame dim, for the purpose of giving a little light only, and yet you will see that the heat which it can give to that platinum-wire, though far less than the heat it has itself, is able to raise the platinum-wire to a far higher state of effulgence. this flame has carbon in it; but i will take one that has no carbon in it. there is a material, a kind of fuel--a vapour, or gas, whichever you like to call it--in that vessel, and it has no solid particles in it; so i take that because it is an example of flame itself burning without any solid matter whatever; and if i now put this solid substance in it, you see what an intense heat it has, and how brightly it causes the solid body to glow. this is the pipe through which we convey this particular gas, which we call hydrogen, and which you shall know all about next time we meet. and here is a substance called oxygen, by means of which this hydrogen can burn; and although we produce, by their mixture, far greater heat[ ] than you can obtain from the candle, yet there is very little light. if, however, i take a solid substance, and put that into it, we produce an intense light if i take a piece of lime, a substance which will not burn, and which will not vaporise by the heat (and because it does not vaporise, remains solid, and remains heated), you will soon observe what happens as to its glowing. i have here a most intense heat, produced by the burning of hydrogen in contact with the oxygen; but there is as yet very little light--not for want of heat, but for want of particles which can retain their solid state; but when i hold this piece of lime in the flame of the hydrogen as it burns in the oxygen, see how it glows! this is the glorious lime-light, which rivals the voltaic-light, and which is almost equal to sunlight. i have here a piece of carbon or charcoal, which will burn and give us light exactly in the same manner as if it were burnt as part of a candle. the heat that is in the flame of a candle decomposes the vapour of the wax, and sets free the carbon particles--they rise up heated and glowing as this now glows, and then enter into the air. but the particles when burnt never pass off from a candle in the form of carbon. they go off into the air as a perfectly invisible substance, about which we shall know hereafter. is it not beautiful to think that such a process is going on, and that such a dirty thing as charcoal can become so incandescent? you see it comes to this--that all bright flames contain these solid particles; all things that burn and produce solid particles, either during the time they are burning, as in the candle, or immediately after being burnt, as in the case of the gunpowder and iron-filings,--all these things give us this glorious and beautiful light. i will give you a few illustrations. here is a piece of phosphorus, which burns with a bright flame. very well; we may now conclude that phosphorus will produce, either at the moment that it is burning or afterwards, these solid particles. here is the phosphorus lighted, and i cover it over with this glass for the purpose of keeping in what is produced. what is all that smoke? that smoke consists of those very particles which are produced by the combustion of the phosphorus. here, again, are two substances. this is chlorate of potassa, and this other sulphuret of antimony. i shall mix these together a little, and then they may be burnt in many ways. i shall touch them with a drop of sulphuric acid, for the purpose of giving you an illustration of chemical action, and they will instantly burn[ ]. [the lecturer then ignited the mixture by means of sulphuric acid.] now, from the appearance of things, you can judge for yourselves whether they produce solid matter in burning. i have given you the train of reasoning which will enable you to say whether they do or do not; for what is this bright flame but the solid particles passing off? [illustration: fig. .] mr. anderson has in the furnace a very hot crucible,--i am about to throw into it some zinc filings, and they will burn with a flame like gunpowder. i make this experiment because you can make it well at home. now, i want you to see what will be the result of the combustion of this zinc. here it is burning--burning beautifully like a candle, i may say. but what is all that smoke, and what are those little clouds of wool which will come to you if you cannot come to them, and make themselves sensible to you in the form of the old philosophic wool, as it was called? we shall have left in that crucible, also, a quantity of this woolly matter. but i will take a piece of this same zinc and make an experiment a little more closely at home, as it were. you will have here the same thing happening. here is the piece of zinc, there [pointing to a jet of hydrogen] is the furnace, and we will set to work and try and burn the metal. it glows, you see: there is the combustion, and there is the white substance into which it burns. and so, if i take that flame of hydrogen as the representative of a candle, and shew you a substance like zinc burning in the flame, you will see that it was merely during the action of combustion that this substance glowed--while it was kept hot; and if i take a flame of hydrogen, and put this white substance from the zinc into it, look how beautifully it glows, and just because it is a solid substance. i will now take such a flame as i had a moment since, and set free from it the particles of carbon. here is some camphine, which will burn with a smoke; but if i send these particles of smoke through this pipe into the hydrogen flame, you will see they will burn and become luminous, because we heat them a second time. there they are. those are the particles of carbon re-ignited a second time. they are those particles which you can easily see by holding a piece of paper behind them, and which, whilst they are in the flame, are ignited by the heat produced, and, when so ignited, produce this brightness. when the particles are not separated, you get no brightness. the flame of coal-gas owes its brightness to the separation, during combustion, of these particles of carbon, which are equally in that as in a candle. i can very quickly alter that arrangement. here, for instance, is a bright flame of gas. supposing i add so much air to the flame as to cause it all to burn before those particles are set free, i shall not have this brightness; and i can do that in this way:--if i place over the jet this wire-gauze cap, as you see, and then light the gas over it, it burns with a non-luminous flame, owing to its having plenty of air mixed with it before it burns; and if i raise the gauze, you see it does not burn below[ ]. there is plenty of carbon in the gas; but, because the atmosphere can get to it, and mix with it before it burns, you see how pale and blue the flame is. and if i blow upon a bright gas-flame, so as to consume all this carbon before it gets heated to the glowing point, it will also burn blue: [the lecturer illustrated his remarks by blowing on the gas-light.] the only reason why i have not the same bright light when i thus blow upon the flame is, that the carbon meets with sufficient air to burn it before it gets separated in the flame in a free state. the difference is solely due to the solid particles not being separated before the gas is burnt. you observe that there are certain products as the result of the combustion of a candle, and that of these products one portion may be considered as charcoal, or soot; that charcoal, when afterwards burnt, produces some other product; and it concerns us very much now to ascertain what that other product is. we shewed that something was going away; and i want you now to understand how much is going up into the air; and for that purpose we will have combustion on a little larger scale. from that candle ascends heated air, and two or three experiments will shew you the ascending current; but, in order to give you a notion of the quantity of matter which ascends in this way, i will make an experiment by which i shall try to imprison some of the products of this combustion. for this purpose i have here what boys call a fire-balloon. i use this fire-balloon merely as a sort of measure of the result of the combustion we are considering; and i am about to make a flame in such an easy and simple manner as shall best serve my present purpose. this plate shall be the "cup," we will so say, of the candle; this spirit shall be our fuel; and i am about to place this chimney over it, because it is better for me to do so than to let things proceed at random. [illustration: fig. .] mr. anderson will now light the fuel, and here at the top we shall get the results of the combustion. what we get at the top of that tube is exactly the same, generally speaking, as you get from the combustion of a candle; but we do not get a luminous flame here, because we use a substance which is feeble in carbon. i am about to put this balloon--not into action, because that is not my object--but to shew you the effect which results from the action of those products which arise from the candle, as they arise here from the furnace. [the balloon was held over the chimney, when it immediately commenced to fill.] you see how it is disposed to ascend; but we must not let it up, because it might come in contact with those upper gas-lights, and that would be very inconvenient. [the upper gas-lights were turned out, at the request of the lecturer, and the balloon was allowed to ascend.] does not that shew you what a large bulk of matter is being evolved? now, there is going through this tube [placing a large glass tube over a candle] all the products of that candle, and you will presently see that the tube will become quite opaque. suppose i take another candle, and place it under a jar, and then put a light on the other side, just to shew you what is going on. you see that the sides of the jar become cloudy, and the light begins to burn feebly. it is the products, you see, which make the light so dim, and this is the same thing which makes the sides of the jar so opaque. if you go home and take a spoon that has been in the cold air, and hold it over a candle--not so as to soot it--you will find that it becomes dim, just as that jar is dim. if you can get a silver dish, or something of that kind, you will make the experiment still better. and now, just to carry your thoughts forward to the time we shall next meet, let me tell you that it is _water_ which causes the dimness; and when we next meet. i will shew you that we can make it, without difficulty, assume the form of a liquid. lecture iii. products: water from the combustion--nature of water--a compound--hydrogen. i dare say you will remember that when we parted we had just mentioned the word "products" from the candle. for when a candle burns we found we were able, by nice adjustment, to get various products from it. there was one substance which was not obtained when the candle was burning properly, which was charcoal or smoke; and there was some other substance that went upwards from the flame which did not appear as smoke, but took some other form, and made part of that general current which, ascending from the candle upwards, becomes invisible, and escapes. there were also other products to mention. you remember that in that rising current having its origin at the candle, we found that one part was condensable against a cold spoon, or against a clean plate, or any other cold thing, and another part was incondensable. we will first take the condensable part, and examine it; and, strange to say, we find that that part of the product is just water--nothing but water. on the last occasion i spoke of it incidentally, merely saying that water was produced among the condensable products of the candle; but to-day i wish to draw your attention to water, that we may examine it carefully, especially in relation to this subject, and also with respect to its general existence on the surface of the globe. now, having previously arranged an experiment for the purpose of condensing water from the products of the candle, my next point will be to shew you this water; and perhaps one of the best means that i can adopt for shewing its presence to so many at once, is to exhibit a very visible action of water, and then to apply that test to what is collected as a drop at the bottom of that vessel. i have here a chemical substance, discovered by sir humphrey davy, which has a very energetic action upon water, which i shall use as a test of the presence of water. if i take a little piece of it--it is called potassium, as coming from potash,--if i take a little piece of it, and throw it into that basin, you see how it shews the presence of water by lighting up and floating about, burning with a violent flame. i am now going to take away the candle which has been burning beneath the vessel containing ice and salt, and you see a drop of water--a condensed product of the candle--hanging from under the surface of the dish. [illustration: fig. .] i will shew you that potassium has the same action upon it as upon the water in that basin in the experiment we have just tried. see, it takes fire, and burns in just the same manner. i will take another drop upon this glass slab, and when i put the potassium on to it, you see at once, from its taking fire, that there is water present. now, that water was produced by the candle. in the same manner, if i put this spirit-lamp under that jar, you will soon see the latter become damp, from the dew which is deposited upon it--that dew being the result of combustion; and i have no doubt you will shortly see by the drops of water which fall upon the paper below, that there is a good deal of water produced from the combustion of the lamp. i will let it remain, and you can afterwards see how much water has been collected. so, if i take a gas-lamp, and put any cooling arrangement over it, i shall get water--water being likewise produced from the combustion of gas. here, in this bottle, is a quantity of water--perfectly pure, distilled water, produced from the combustion of a gas-lamp--in no point different from the water that you distil from the river, or ocean, or spring, but exactly the same thing. water is one individual thing--it never changes. we can add to it by careful adjustment, for a little while, or we can take it apart, and get other things from it; but water, as water, remains always the same, either in a solid, liquid, or fluid state. here, again [holding another bottle], is some water produced by the combustion of an oil-lamp. a pint of oil, when burnt fairly and properly, produces rather more than a pint of water. here, again, is some water, produced by a rather long experiment from a wax candle. and so we can go on with almost all combustible substances, and find that if they burn with a flame, as a candle, they produce water. you may make these experiments yourselves. the head of a poker is a very good thing to try with, and if it remains cold long enough over the candle, you may get water condensed in drops on it; or a spoon or ladle, or anything else may be used, provided it be clean, and can carry off the heat, and so condense the water. and now--to go into the history of this wonderful production of water from combustibles, and by combustion--i must first of all tell you that this water may exist in different conditions; and although you may now be acquainted with all its forms, they still require us to give a little attention to them for the present, so that we may perceive how the water, whilst it goes through its protean changes, is entirely and absolutely the same thing, whether it is produced from a candle, by combustion, or from the rivers or ocean. first of all, water, when at the coldest, is ice. now, we philosophers---i hope that i may class you and myself together in this case--speak of water as water, whether it be in its solid, or liquid, or gaseous state,--we speak of it chemically as water. water is a thing compounded of two substances, one of which we have derived from the candle, and the other we shall find elsewhere. water may occur as ice; and you have had most excellent opportunities lately of seeing this. ice changes back into water--for we had on our last sabbath a strong instance of this change, by the sad catastrophe which occurred in our own house, as well as in the houses of many of our friends,--ice changes back into water when the temperature is raised: water also changes into steam when it is warmed enough. the water which we have here before us is in its densest state[ ], and although it changes in weight, in condition, in form, and in many other qualities, it still is water; and whether we alter it into ice by cooling, or whether we change it into steam by heat, it increases in volume,--in the one case very strangely and powerfully, and in the other case very largely and wonderfully. for instance, i will now take this tin cylinder, and pour a little water into it; and seeing how much water i pour in, you may easily estimate for yourselves how high it will rise in the vessel: it will cover the bottom about two inches. i am now about to convert the water into steam, for the purpose of shewing to you the different volumes which water occupies in its different states of water and steam. let us now take the case of water changing into ice: we can effect that by cooling it in a mixture of salt and pounded ice[ ]; and i shall do so to shew you the expansion of water into a thing of larger bulk when it is so changed. these bottles [holding one] are made of strong cast iron, very strong and very thick--i suppose they are the third of an inch in thickness; they are very carefully filled with water, so as to exclude all air, and then they are screwed down tight. we shall see that when we freeze the water in these iron vessels, they will not be able to hold the ice, and the expansion within them will break them in pieces as these [pointing to some fragments] are broken, which have been bottles of exactly the same kind. i am about to put these two bottles into that mixture of ice and salt, for the purpose of shewing that when water becomes ice, it changes in volume in this extraordinary way. in the mean time look at the change which has taken place in the water to which we have applied heat--it is losing its fluid state. you may tell this by two or three circumstances. i have covered the mouth of this glass flask, in which water is boiling, with a watch-glass. do you see what happens? it rattles away like a valve chattering, because the steam rising from the boiling water sends the valve up and down, and forces itself out, and so makes it clatter. you can very easily perceive that the flask is quite full of steam, or else it would not force its way out. you see, also, that the flask contains a substance very much larger than the water, for it fills the whole of the flask over and over again, and there it is blowing away into the air; and yet you cannot observe any great diminution in the bulk of the water, which shews you that its change of bulk is very great when it becomes steam. i have put our iron bottles containing water into this freezing mixture, that you may see what happens. no communication will take place, you observe, between the water in the bottles and the ice in the outer vessel. but there will be a conveyance of heat from the one to the other; and if we are successful--we are making our experiment in very great haste--i expect you will by-and-by, so soon as the cold has taken possession of the bottles and their contents, hear a pop on the occasion of the bursting of the one bottle or the other; and, when we come to examine the bottles, we shall find their contents masses of ice, partly enclosed by the covering of iron which is too small for them, because the ice is larger in bulk than the water. you know very well that ice floats upon water: if a boy falls through a hole into the water, he tries to get on the ice again to float him up. why does the ice float?--think of that, and philosophise. because the ice is larger than the quantity of water which can produce it; and therefore the ice weighs the lighter, and the water is the heavier. to return now to the action of heat on water. see what a stream of vapour is issuing from this tin vessel! you observe, we must have made it quite full of steam to have it sent out in that great quantity. and now, as we can convert the water into steam by heat, we convert it back into liquid water by the application of cold. and if we take a glass, or any other cold thing, and hold it over this steam, see how soon it gets damp with water; it will condense it until the glass is warm--it condenses the water which is now running down the sides of it. i have here another experiment to shew the condensation of water from a vaporous state back into a liquid state, in the same way as the vapour, one of the products of the candle, was condensed against the bottom of the dish, and obtained in the form of water; and to shew you how truly and thoroughly these changes take place, i will take this tin flask, which is now full of steam, and close the top. we shall see what takes place when we cause this water or steam to return back to the fluid state by pouring some cold water on the outside. [the lecturer poured the cold water over the vessel, when it immediately collapsed.] you see what has happened. if i had closed the stopper, and still kept the heat applied to it, it would have burst the vessel; yet, when the steam returns to the state of water, the vessel collapses, there being a vacuum produced inside by the condensation of the steam. i shew you these experiments for the purpose of pointing out that in all these occurrences there is nothing that changes the water into any other thing--it still remains water; and so the vessel is obliged to give way, and is crushed inwards, as in the other case, by the further application of heat, it would have been blown outwards. [illustration: fig. .] and what do you think the bulk of that water is when it assumes the vaporous condition? you see that cube [pointing to a cubic foot]. there, by its side, is a cubic inch, exactly the same shape as the cubic foot, and that bulk of water [the cubic inch] is sufficient to expand into that bulk [the cubic foot] of steam; and, on the contrary, the application of cold will contract that large quantity of steam into this small quantity of water. [illustration: fig. .] [one of the iron bottles burst at that moment.] ah! there is one of our bottles burst, and here you see is a crack down one side an eighth of an inch in width. [the other now exploded, sending the freezing mixture in all directions.] this other bottle is also broken; although the iron was nearly half-an-inch thick, the ice has burst it asunder. these changes always take place in water: they do not require to be always produced by artificial means,--we only use them here because we want to produce a small winter round that little bottle, instead of a long and severe one. but if you go to canada, or to the north, you will find the temperature there out of doors will do the same thing as has been done here by the freezing mixture. to return to our quiet philosophy. we shall not in future be deceived, therefore, by any changes that are produced in water. water is the same everywhere, whether produced from the ocean or from the flame of the candle. where, then, is this water which we get from a candle? i must anticipate a little, and tell you. it evidently comes, as to part of it, from the candle; but is it within the candle beforehand? no. it is not in the candle; and it is not in the air round about the candle which is necessary for its combustion. it is neither in one nor the other, but it comes from their conjoint action, a part from the candle, a part from the air; and this we have now to trace, so that we may understand thoroughly what is the chemical history of a candle when we have it burning on our table. how shall we get at this? i myself know plenty of ways, but i want _you_ to get at it from the association in your own minds of what i have already told you. i think you can see a little in this way. we had just now the case of a substance which acted upon the water in the way that sir humphrey davy shewed us[ ], and which i am now going to recall to your minds by making again an experiment upon that dish. it is a thing which we have to handle very carefully, for you see, if i allow a little splash of water to come upon this mass, it sets fire to part of it; and if there were free access of air, it would quickly set fire to the whole. now, this is a metal--a beautiful and bright metal--which rapidly changes in the air, and, as you know, rapidly changes in water. i will put a piece on the water, and you see it burns beautifully, making a floating lamp, using the water in the place of air. again, if we take a few iron filings or turnings, and put them in water, we find that they likewise undergo an alteration. they do not change so much as this potassium does, but they change somewhat in the same way; they become rusty, and shew an action upon the water, though in a different degree of intensity to what this beautiful metal does: but they act upon the water in the same manner generally as this potassium. i want you to put these different facts together in your minds. i have another metal here [zinc], and when we examined it with regard to the solid substance produced by its combustion, we had an opportunity of seeing that it burned; and i suppose, if i take a little strip of this zinc and put it over the candle, you will see something half-way, as it were, between the combustion of potassium on the water and the action of iron,--you see there is a sort of combustion. it has burned, leaving a white ash or residuum, and here also we find that the metal has a certain amount of action upon water. by degrees we have learned how to modify the action of these different substances, and to make them tell us what we want to know. and now, first of all, i take iron. it is a common thing in all chemical reactions, where we get any result of this kind, to find that it is increased by the action of heat; and if we want to examine minutely and carefully the action of bodies one upon another, we often have to refer to the action of heat. you are aware, i believe, that iron-filings burn beautifully in the air; but i am about to shew you an experiment of this kind, because it will impress upon you what i am going to say about iron in its action on water. if i take a flame and make it hollow;--you know why, because i want to get air to it and into it, and therefore i make it hollow--and then take a few iron-filings and drop them into the flame, you see how well they burn. that combustion results from the chemical action which is going on when we ignite those particles. and so we proceed to consider these different effects, and ascertain what iron will do when it meets with water. it will tell us the story so beautifully, so gradually and regularly, that i think it will please you very much. i have here a furnace with a pipe going through it like an iron gun-barrel, and i have stuffed that barrel full of bright iron-turnings, and placed it across the fire, to be made red-hot. we can either send air through the barrel to come in contact with the iron, or we can send steam from this little boiler at the end of the barrel. here is a stop-cock which shuts off the steam from the barrel until we wish to admit it. there is some water in these glass jars, which i have coloured blue, so that you may see what happens. now, you know very well that any steam i might send through that barrel, if it went through into the water, would be condensed; for you have seen that steam cannot retain its gaseous form if it be cooled down. [illustration: fig. .] you saw it here [pointing to the tin flask] crushing itself into a small bulk, and causing the flask holding it to collapse; so that if i were to send steam through that barrel, it would be condensed--supposing the barrel were cold: it is, therefore, heated to perform the experiment i am now about to shew you. i am going to send the steam through the barrel in small quantities; and you shall judge for yourselves, when you see it issue from the other end, whether it still remains steam. steam is condensible into water, and when you lower the temperature of steam, you convert it back into fluid water; but i have lowered the temperature of the gas which i have collected in this jar, by passing it through water after it has traversed the iron barrel, and still it does not change back into water. i will take another test and apply to this gas. (i hold the jar in an inverted position, or my substance would escape.) if i now apply a light to the mouth of the jar, it ignites with a slight noise. that tells you that it is not steam. steam puts out a fire--it does not burn; but you saw that what i had in that jar burnt. we may obtain this substance equally from water produced from the candle-flame as from any other source. when it is obtained by the action of the iron upon the aqueous vapour, it leaves the iron in a state very similar to that in which these filings were after they were burnt. it makes the iron heavier than it was before. so long as the iron remains in the tube and is heated, and is cooled again without the access of air or water, it does not change in its weight; but after having had this current of steam passed over it, it then comes out heavier that it was before, having taken something out of the steam, and having allowed something else to pass forth, which we see here. and now, as we have another jar full, i will shew you something most interesting. it is a combustible gas; and i might at once take this jar and set fire to the contents, and shew you that it is combustible; but i intend to shew you more if i can. it is also a very light substance. steam will condense: this body will rise in the air, and not condense. [illustration: fig. ] suppose i take another glass jar, empty of all but air: if i examine it with a taper, i shall find that it contains nothing but air. i will now take this jar full of the gas that i am speaking of, and deal with it as though it were a light body. i will hold both upside-down, and turn the one up under the other; and that which did contain the gas procured from the steam, what does it contain now? you will find it now only contains air. but look! here is the combustible substance [taking the other jar] which i have poured out of the one jar into the other. it still preserves its quality, and condition, and independence, and therefore is the more worthy of our consideration, as belonging to the products of a candle. now, this substance which we have just prepared by the action of iron on the steam or water, we can also get by means of those other things which you have already seen act so well upon the water. if i take a piece of potassium, and make the necessary arrangements, it will produce this gas; and if, instead, a piece of zinc, i find, when i come to examine it very carefully, that the main reason why this zinc cannot act upon the water continuously as the other metal does, is because the result of the action of the water envelopes the zinc in a kind of protecting coat. we have learned in consequence, that if we put into our vessel only the zinc and water, they by themselves do not give rise to much action, and we get no result. but suppose i proceed to dissolve off this varnish--this encumbering substance--which i can do by a little acid; the moment i do this, i find the zinc acting upon the water exactly as the iron did, but at the common temperature. the acid in no way is altered, except in its combination with the oxide of zinc, which is produced. i have now poured the acid into the glass, and the effect is as though i were applying heat to cause this boiling up. there is something coming off from the zinc very abundantly, which is not steam. there is a jar full of it; and you will find that i have exactly the same combustible substance remaining in the vessel, when i hold it upside-down, that i produced during the experiment with the iron barrel. this is what we get from water--the same substance which is contained in the candle. [illustration: fig. .] let us now trace distinctly the connection between these two points. this is hydrogen--a body classed among those things which in chemistry we call elements, because we can get nothing else out of them. a candle is not an elementary body, because we can get carbon out of it; we can get this hydrogen out of it, or at least out of the water which it supplies. and this gas has been so named hydrogen, because it is that element which, in association with another, generates water. [footnote: [greek: hudos], "water," and [greek: gennao], "i generate."] mr. anderson having now been able to get two or three jars of gas, we shall have a few experiments to make, and i want to shew you the best way of making these experiments. i am not afraid to shew you, for i wish you to make experiments, if you will only make them with care and attention, and the assent of those around you. as we advance in chemistry, we are obliged to deal with substances which are rather injurious, if in their wrong places--the acids, and heat, and combustible things we use, might do harm if carelessly employed. if you want to make hydrogen, you can make it easily from bits of zinc, and sulphuric or muriatic acid. here is what in former times was called the "philosopher's candle." it is a little phial with a cork, and a tube or pipe passing through it. [illustration: fig. .] and i am now putting a few little pieces of zinc into it. this little instrument i am going to apply to a useful purpose in our demonstrations--for i want to shew you that you can prepare hydrogen, and make some experiments with it as you please at your own homes. let me here tell you why i am so careful to fill this phial nearly, and yet not quite full. i do it because the evolved gas, which, as you have seen, is very combustible, is explosive to a considerable extent when mixed with air, and might lead to harm, if you were to apply a light to the end of that pipe before all the air had been swept out of the space above the water. i am now about to pour in the sulphuric acid. i have used very little zinc, and more sulphuric acid and water, because i want to keep it at work for some time. i therefore take care in this way to modify the proportions of the ingredients, so that i may have a regular supply--not too quick, and not too slow. supposing i now take a glass and put it upside-down over the end of the tube, because the hydrogen is light i expect that it will remain in that vessel a little while. we will now test the contents of our glass to see if there be hydrogen in it. i think i am safe in saying we have caught some [applying a light]. there it is, you see. i will now apply a light to the top of the tube. there is the hydrogen burning. there is our philosophical candle. it is a foolish feeble sort of a flame, you may say; but it is so hot that scarcely any common flame gives out so much heat. it goes on burning regularly, and i am now about to put that flame to burn under a certain arrangement, in order that we may examine its results and make use of the information which we may thereby acquire. inasmuch as the candle produces water, and this gas comes out of the water, let us see what this gives us by the same process of combustion that the candle went through when it burnt in the atmosphere; and for that purpose i am going to put the lamp under this apparatus, in order to condense whatever may arise from the combustion within it in the course of a short time you will see moisture appearing in the cylinder, and you will get the water running down the side; and the water from this hydrogen flame will have absolutely the same effect upon all our tests, being obtained by the same general process as in the former case. this hydrogen is a very beautiful substance. it is so light that it carries things up: it is far lighter than the atmosphere; and i dare say i can shew you this by an experiment which, if you are very clever, some of you may even have skill enough to repeat. here is our generator of hydrogen, and here are some soap-suds. i have an india-rubber tube connected with the hydrogen generator, and at the end of the tube is a tobacco-pipe. [illustration: fig. .] i can thus put the pipe into the suds, and blow bubbles by means of the hydrogen. you observe how the bubbles fall downwards when i blow them with my warm breath; but notice the difference when i blow them with hydrogen. [the lecturer here blew bubbles with hydrogen, which rose to the roof of the theatre.] it shews you how light this gas must be in order to carry with it not merely the ordinary soap-bubble, but the larger portion of a drop hanging to the bottom of it. i can shew its lightness in a better way than this; larger bubbles than these may be so lifted up; indeed, in former times balloons used to be filled with this gas. mr. anderson will fasten this tube on to our generator, and we shall have a stream of hydrogen here with which we can charge this balloon made of collodion. i need not even be very careful to get all the air out, for i know the power of this gas to carry it up. [two collodion balloons were inflated, and sent up, one being held by a string.] here is another larger one made of thin membrane, which we will fill and allow to ascend. you will see they will all remain floating about until the gas escapes. what, then, are the comparative weights of these substances? i have a table here which will shew you the proportion which their weights bear to each other. i have taken a pint and a cubic foot as the measures, and have placed opposite to them the respective figures. a pint measure of this hydrogen weighs three-quarters of our smallest weight (a grain), and a cubic foot weighs one-twelfth of an ounce; whereas a pint of water weighs , grains, and a cubic foot of water weighs almost , ounces. you see, therefore, what a vast difference there is between the weight of a cubic foot of water and a cubic foot of hydrogen. hydrogen gives rise to no substance that can become solid, either during combustion or afterwards as a product of its combustion. but when it burns, it produces water only; and if we take a cold glass and put it over the flame, it becomes damp, and you have water, produced immediately in appreciable quantity; and nothing is produced by its combustion but the same water which you have seen the flame of the candle produce. it is important to remember that this hydrogen is the only thing in nature which furnishes water as the sole product of combustion. and now we must endeavour to find some additional proof of the general character and composition of water; and for this purpose i will keep you a little longer, so that at our next meeting we may be better prepared for the subject. we have the power of arranging the zinc which you have seen acting upon the water by the assistance of an acid, in such a manner as to cause all the power to be evolved in the place where we require it i have behind me a voltaic pile, and i am just about to shew you, at the end of this lecture, its character and power, that you may see what we shall have to deal with when next we meet. i hold here the extremities of the wires which transport the power from behind me, and which i shall cause to act on the water. we have previously seen what a power of combustion is possessed by the potassium, or the zinc, or the iron-filings; but none of them shew such energy as this. [the lecturer here made contact between the two terminal wires of the battery, when a brilliant flash of light was produced.] this light is, in fact, produced by a forty-zinc power of burning: it is a power that i can carry about in my hands, through these wires, at pleasure--although, if i applied it wrongly to myself, it would destroy me in an instant, for it is a most intense thing, and the power you see here put forth while you count five [bringing the poles in contact, and exhibiting the electric light] is equivalent to the power of several thunder-storms, so great is its force[ ]. and that you may see what intense energy it has, i will take the ends of the wires which convey the power from the battery, and with it i dare say i can burn this iron file. now, this is a chemical power, and one which, when we next meet, i shall apply to water, and shew you what results we are able to produce. lecture iv. hydrogen in the candle--burns into water--the other part of water--oxygen. i see you are not tired of the candle yet, or i am sure you would not be interested in the subject in the way you are. when our candle was burning, we found it produced water exactly like the water we have around us; and by further examination of this water we found in it that curious body, hydrogen--that light substance of which there is some in this jar. we afterwards saw the burning powers of that hydrogen, and that it produced water. and i think i introduced to your notice an apparatus which i very briefly said was an arrangement of chemical force, or power, or energy, so adjusted as to convey its power to us in these wires; and i said i should use that force to pull the water to pieces, to see what else there was in the water besides hydrogen; because, you remember, when we passed the water through the iron tube, we by no means got the weight of water back which we put in, in the form of steam, though we had a very large quantity of gas evolved. we have now to see what is the other substance present. that you may understand the character and use of this instrument, let us make an experiment or two. let us put together, first of all, some substances, knowing what they are, and then see what that instrument does to them. there is some copper (observe the various changes which it can undergo), and here is some nitric acid, and you will find that this, being a strong chemical agent, will act very powerfully when i add it to the copper. it is now sending forth a beautiful red vapour; but as we do not want that vapour, mr. anderson will hold it near the chimney for a short time, that we may have the use and beauty of the experiment without the annoyance. the copper which i have put into the flask will dissolve: it will change the acid and the water into a blue fluid, containing copper and other things; and i propose then shewing you how this voltaic battery deals with it; and in the mean-time we will arrange another kind of experiment for you to see what power it has. this is a substance which is to us like water--that is to say, it contains bodies which we do not know of as yet, as water contains a body which we do not know as yet. now, this solution of a salt[ ] i will put upon paper, and spread about, and apply the power of the battery to it, and observe what will happen. three or four important things will happen which we shall take advantage of. i place this wetted paper upon a sheet of tinfoil, which is convenient for keeping all clean, and also for the advantageous application of the power; and this solution, you see, is not at all affected by being put upon the paper or tinfoil, nor by anything else i have brought in contact with it yet, and which, therefore, is free to us to use as regards that instrument. but first let us see that our instrument is in order. here are our wires. let us see whether it is in the state in which it was last time. we can soon tell. as yet, when i bring them together, we have no power, because the conveyers--what we call the electrodes--the passages or ways for the electricity--are stopped; but now mr. anderson by that [referring to a sudden flash at the ends of the wires] has given me a telegram to say that it is ready. before i begin our experiment i will get mr. anderson to break contact again at the battery behind me, and we will put a platinum-wire across to connect the poles, and then if i find i can ignite a pretty good length of this wire, we shall be safe in our experiment. now you will see the power. [the connection was established, and the intermediate wire became red-hot.] there is the power running beautifully through the wire, which i have made thin on purpose to shew you that we have those powerful forces; and now, having that power, we will proceed with it to the examination of water. i have here two pieces of platinum, and if i lay them down upon this piece of paper [the moistened paper on the tinfoil], you will see no action; and if i take them up, there is no change that you can see, but the arrangement remains just as it was before. but, now, see what happens: if i take these two poles and put either one or the other of them down separately on the platinum-plates, they do nothing for me, both are perfectly without action; but if i let them both be in contact at the same moment, see what happens [a brown spot appeared under each pole of the battery]. look here at the effect that takes place, and see how i have pulled something apart from the white--something brown; and i have no doubt, if i were to arrange it thus, and were to put one of the poles to the tinfoil on the other side of the paper--why, i get such a beautiful action upon the paper, that i am going to see whether i cannot write with it--a telegram, if you please. [the lecturer here traced the word "juvenile" on the paper with one of the terminal wires.] see there how beautifully we can get our results! you see we have here drawn something, which we have not known about before, out of this solution. let us now take that flask from mr. andersen's hands, and see what we can draw out of that. this, you know, is a liquid which we have just made up from copper and nitric acid, whilst our other experiments were in hand; and though i am making this experiment very hastily, and may bungle a little, yet i prefer to let you see what i do rather than prepare it beforehand. now, see what happens. these two platinum-plates are the two ends (or i will make them so immediately) of this apparatus; and i am about to put them in contact with that solution just as we did a moment ago on the paper. it does not matter to us whether the solution be on the paper or whether it be in the jar, so long as we bring the ends of the apparatus to it. if i put the two platinums in by themselves, they come out as clean and as white as they go in [inserting them into the fluid without connecting them with the battery]; but when we take the power and lay that on [the platinums were connected with the battery and again dipped into the solution], this, you see [exhibiting one of the platinums], is at once turned into copper, as it were: it has become like a plate of copper; and that [exhibiting the other piece of platinum] has come out quite clean. if i take this coppered piece and change sides, the copper will leave the right-hand side and come over to the left side; what was before the coppered plate comes out clean, and the plate which was clean comes out coated with copper; and thus you see that the same copper we put into this solution we can also take out of it by means of this instrument. putting that solution aside, let us now see what effect this instrument will have upon water. here are two little platinum-plates which i intend to make the ends of the battery, and this (c) is a little vessel so shaped as to enable me to take it to pieces, and shew you its construction. in these two cups (a and b) i pour mercury, which touches the ends of the wires connected with the platinum-plates. in the vessel (c) i pour some water containing a little acid (but which is put only for the purpose of facilitating the action; it undergoes no change in the process), and connected with the top of the vessel is a bent glass tube (d), which may remind you of the pipe which was connected with the gun barrel in our furnace experiment, and which now passes under the jar (f). i have now adjusted this apparatus, and we will proceed to affect the water in some way or other. in the other case, i sent the water through a tube which was made red-hot; i am now going to pass the electricity through the contents of this vessel. perhaps i may boil the water; if i do boil the water, i shall get steam; and you know that steam condenses when it gets cold, and you will therefore see by that whether i do boil the water or not. perhaps, however, i shall not boil the water, but produce some other effect. you shall have the experiment and see. there is one wire which i will put to this side (a), and here is the other wire which i will put to the other side (b), and you will soon see whether any disturbance takes place. here it is seeming to boil up famously; but does it boil? let us see whether that which goes out is steam or not. i think you will soon see the jar (f) will be filled with vapour, if that which rises from the water is steam. but can it be steam? why, certainly not; because there it remains, you see, unchanged. there it is standing over the water, and it cannot therefore be steam, but must be a permanent gas of some sort what is it? is it hydrogen? is it anything else? well, we will examine it. if it is hydrogen, it will burn. [the lecturer then ignited a portion of the gas collected, which burnt with an explosion.] [illustration: fig. ] it is certainly something combustible, but not combustible in the way that hydrogen is. hydrogen would not have given you that noise; but the colour of that light, when the thing did burn, was like that of hydrogen: it will, however, burn without contact with the air. that is why i have chosen this other form of apparatus, for the purpose of pointing out to you what are the particular circumstances of this experiment. in place of an open vessel i have taken one that is closed (our battery is so beautifully active that we are even boiling the mercury, and getting all things right--not wrong, but vigorously right); and i am going to shew you that that gas, whatever it may be, can burn without air, and in that respect differs from a candle, which cannot burn without the air. and our manner of doing this is as follows:--i have here a glass vessel (g) which is fitted with two platinum-wires (ik), through which i can apply electricity; and we can put the vessel on the air-pump and exhaust the air, and when we have taken the air out we can bring it here and fasten it on to this jar (f), and let into the vessel that gas which was formed by the action of the voltaic battery upon the water, and which we have produced by changing the water into it,--for i may go as far as this, and say we have really, by that experiment, changed the water into that gas. we have not only altered its condition, but we have changed it really and truly into that gaseous substance, and all the water is there which was decomposed by the experiment. as i screw this vessel (gh) on here (h), and make the tubes well connected, and when i open the stop-cocks (hhh), if you watch the level of the water (in f), you will see that the gas will rise. i will now close the stop-cocks, as i have drawn up as much as the vessel can hold, and being safely conveyed into that chamber, i will pass into it an electric spark from this leyden jar (l), when the vessel, which is now quite clear and bright, will become dim. there will be no sound, for the vessel is strong enough to confine the explosion. [a spark was then passed through the jar, when the explosive mixture was ignited.] did you see that brilliant light? if i again screw the vessel on to the jar, and open these stop-cocks, you will see that the gas will rise a second time. [the stop-cocks were then opened.] those gases [referring to the gases first collected in the jar, and which had just been ignited by the electric spark] have disappeared, as you see: their place is vacant, and fresh gas has gone in. water has been formed from them; and if we repeat our operation [repeating the last experiment], i shall have another vacancy, as you will see by the water rising. i always have an empty vessel after the explosion, because the vapour or gas into which that water has been resolved by the battery explodes under the influence of the spark, and changes into water; and by-and-by you will see in this upper vessel some drops of water trickling down the sides and collecting at the bottom. we are here dealing with water entirely, without reference to the atmosphere. the water of the candle had the atmosphere helping to produce it; but in this way it can be produced independently of the air. water, therefore, ought to contain that other substance which the candle takes from the air, and which, combining with the hydrogen, produces water. just now you saw that one end of this battery took hold of the copper, extracting it from the vessel which contained the blue solution. it was effected by this wire; and surely we may say, if the battery has such power with a metallic solution which we made and unmade, may we not find that it is possible to split asunder the component parts of the water, and put them into this place and that place? suppose i take the poles--the metallic ends of this battery--and see what will happen with the water in this apparatus (fig. ), where we have separated the two ends far apart. [illustration: fig. .] i place one here (at a), and the other there (at b), and i have little shelves with holes which i can put upon each pole, and so arrange them that whatever escapes from the two ends of the battery will appear as separate gases; for you saw that the water did not become vaporous, but gaseous. the wires are now in perfect and proper connection with the vessel containing the water; and you see the bubbles rising: let us collect these bubbles and see what they are. here is a glass cylinder (o); i fill it with water and put it over one end (a) of the pile; and i will take another (h) and put it over the other end (b) of the pile. and so now we have a double apparatus, with both places delivering gas. both these jars will fill with gas. there they go, that to the right (h) filling very rapidly; the one to the left (o) filling not so rapidly; and though i have allowed some bubbles to escape, yet still the action is going on pretty regularly; and were it not that one is rather smaller than the other, you would see that i should have twice as much in this (h) as i have in that (o). both these gases are colourless; they stand over the water without condensing; they are alike in all things--i mean in all _apparent_ things; and we have here an opportunity of examining these bodies and ascertaining what they are. their bulk is large, and we can easily apply experiments to them. i will take this jar (h) first, and will ask you to be prepared to recognise hydrogen. think of all its qualities--the light gas which stood well in inverted vessels, burning with a pale flame at the mouth of the jar--and see whether this gas does not satisfy all these conditions. if it be hydrogen, it will remain here while i hold this jar inverted. [a light was then applied, when the hydrogen burnt] what is there now in the other jar? you know that the two together made an explosive mixture. but what can this be which we find as the other constituent in water, and which must therefore be that substance which made the hydrogen burn? we know that the water we put into the vessel consisted of the two things together. we find one of these is hydrogen: what must that other be which was in the water before the experiment, and which we now have by itself? i am about to put this lighted splinter of wood into the gas. the gas itself will not burn, but it will make the splinter of wood burn. [the lecturer ignited the end of the wood, and introduced it into the jar of gas.] see how it invigorates the combustion of the wood, and how it makes it burn far better than the air would make it burn; and now you see by itself that every other substance which is contained in the water, and which, when the water was formed by the burning of the candle, must have been taken from the atmosphere. what shall we call it, a, b, or c? let us call it o--call it "oxygen:" it is a very good distinct-sounding name. this, then, is the oxygen which was present in the water, forming so large a part of it. we shall now begin to understand more clearly our experiments and researches; because, when we have examined these things once or twice, we shall soon see why a candle burns in the air. when we have in this way analysed the water--that is to say, separated, or electrolysed its parts out of it--we get two volumes of hydrogen, and one of the body that burns it. and these two are represented to us on the following diagram, with their weights also stated; and we shall find that the oxygen is a very heavy body by comparison with the hydrogen. it is the other element in water. i had better, perhaps, tell you now how we get this oxygen abundantly, having shewn you how we can separate it from the water. oxygen, as you will immediately imagine, exists in the atmosphere; for how should the candle burn to produce water without it? _____________________ | | | | | | | | | | | oxygen. | oxygen, . . . . . | | | | |_________| hydrogen, . . . . | hydrogen. | ----- | | water,. . . . . . | | | | | | |___________| such a thing would be absolutely impossible, and chemically impossible, without oxygen. [illustration: fig. .] can we get it from the air? well, there are some very complicated and difficult processes by which we can get it from the air; but we have better processes. there is a substance called the black oxide of manganese: it is a very black-looking mineral, but very useful, and when made red-hot it gives out oxygen. here is an iron bottle which has had some of this substance put into it, and there is a tube fixed to it, and a fire ready made, and mr. anderson will put that retort into the fire, for it is made of iron, and can stand the heat. here is a salt called chlorate of potassa, which is now made in large quantities for bleaching, and chemical and medical uses, and for pyrotechnic and other purposes. i will take some and mix it with some of the oxide of manganese (oxide of copper, or oxide of iron would do as well); and if i put these together in a retort, far less than a red heat is sufficient to evolve this oxygen from the mixture. i am not preparing to make much, because we only want sufficient for our experiments; only, as you will see immediately, if i use too small a charge, the first portion of the gas will be mixed with the air already in the retort, and i should be obliged to sacrifice the first portion of the gas, because it would be so much diluted with air; the first portion must therefore be thrown away. you will find in this case, that a common spirit-lamp is quite sufficient for me to get the oxygen, and so we shall have two processes going on for its preparation. see how freely the gas is coming over from that small portion of the mixture. we will examine it, and see what are its properties. now, in this way we are producing, as you will observe, a gas just like the one we had in the experiment with the battery, transparent, undissolved by water, and presenting the ordinary visible properties of the atmosphere. (as this first jar contains the air, together with the first portions of the oxygen set free during the preparation, we will carry it out of the way, and be prepared to make our experiments in a regular, dignified manner.) and, inasmuch as that power of making wood, wax, or other things burn, was so marked in the oxygen we obtained by means of the voltaic battery from water, we may expect to find the same property here. we will try it you see there is the combustion of a lighted taper in air, and here is its combustion in this gas [lowering the taper into the jar]. see how brightly and how beautifully it burns! you can also see more than this,--you will perceive it is a heavy gas, whilst the hydrogen would go up like a balloon, or even faster than a balloon, when not encumbered with the weight of the envelope. [illustration: fig. .] you may easily see that although we obtained from water twice as much in volume of the hydrogen as of oxygen, it does not follow that we have twice as much in weight--because one is heavy, and the other a very light gas. we have means of weighing gases or air; but without stopping to explain, that, let me just tell you what their respective weights are. the weight of a pint of hydrogen is three-quarters of a grain; the weight of the same quantity of oxygen is nearly twelve grains. this is a very great difference. the weight of a cubit foot of hydrogen is one-twelfth of an ounce; and the weight of a cubit foot of oxygen is one ounce and a third. and so on we might come to masses of matter which may be weighed in the balance, and which we can take account of as to hundredweights and as to tons, as you will see almost immediately. now, as regards this very property of oxygen supporting combustion, which we may compare to air, i will take a piece of candle to shew it you in a rough way, and the result will be rough. there is our candle burning in the air: how will it burn in oxygen? i have here a jar of this gas, and i am about to put it over the candle for you to compare the action of this gas with that of the air. why, look at it: it looks something like the light you saw at the poles of the voltaic battery. think how vigorous that action must be! and yet, during all that action, nothing more is produced than what is produced by the burning of the candle in air. we have the same production of water, and the same phenomena exactly, when we use this gas instead of air, as we have when the candle is burnt in air. but now we have got a knowledge of this new substance, we can look at it a little more distinctly, in order to satisfy ourselves that we have got a good general understanding of this part of the product of a candle. it is wonderful how great the supporting powers of this substance are as regards combustion. for instance, here is a lamp which, simple though it be, is the original, i may say, of a great variety of lamps which are constructed for divers purposes--for light-houses, microscopic illuminations, and other uses; and if it were proposed to make it burn very brightly, you would say, "if a candle burnt better in oxygen, will not a lamp do the same?" why, it will do so. mr. anderson will give me a tube coming from our oxygen reservoir, and i am about to apply it to this flame, which i will previously make burn badly on purpose. there comes the oxygen: what a combustion that makes! but if i shut it off, what becomes of the lamp? [the flow of oxygen was stopped, and the lamp relapsed to its former dimness.] it is wonderful how, by means of oxygen, we get combustion accelerated. but it does not affect merely the combustion of hydrogen, or carbon, or the candle; but it exalts all combustions of the common kind. we will take one which relates to iron, for instance, as you have already seen iron burn a little in the atmosphere. here is a jar of oxygen, and this is a piece of iron wire; but if it were a bar as thick as my wrist, it would burn the same. [illustration: fig. .] i first attach a little piece of wood to the iron, i then set the wood on fire and let them both down together into the jar. the wood is now alight, and there it burns as wood should burn in oxygen; but it will soon communicate its combustion to the iron. the iron is now burning brilliantly, and will continue so for a long time. as long as we supply oxygen, so long can we carry on the combustion of the iron, until the latter is consumed. we will now put that on one side, and take some other substance; but we must limit our experiments, for we have not time to spare for all the illustrations you would have a right to if we had more time. we will take a piece of sulphur--you know how sulphur burns in the air--well, we put it into the oxygen, and you will see that whatever can burn in air, can burn with a far greater intensity in oxygen, leading you to think that perhaps the atmosphere itself owes all its power of combustion to this gas. the sulphur is now burning very quietly in the oxygen; but you cannot for a moment mistake the very high and increased action which takes place when it is so burnt, instead of being burnt merely in common air. [illustration: fig. .] i am now about to shew you the combustion of another substance--phosphorus. i can do it better for you here than you can do it at home. this is a very combustible substance; and if it be so combustible in air, what might you expect it would be in oxygen? i am about to shew it to you not in its fullest intensity, for if i did so we should almost blow the apparatus up--i may even now crack the jar, though i do not want to break things carelessly. you see how it burns in the air. but what a glorious light it gives out when i introduce it into oxygen! [introducing the lighted phosphorus into the jar of oxygen.] there you see the solid particles going off which cause that combustion to be so brilliantly luminous. thus far we have tested this power of oxygen, and the high combustion it produces by means of other substances. we must now, for a little while longer, look at it as respects the hydrogen. you know, when we allowed the oxygen and the hydrogen derived from the water to mix and burn together, we had a little explosion. you remember, also, that when i burnt the oxygen and the hydrogen in a jet together, we got very little light, but great heat. i am now about to set fire to oxygen and hydrogen, mixed in the proportion in which they occur in water. here is a vessel containing one volume of oxygen and two volumes of hydrogen. this mixture is exactly of the same nature as the gas we just now obtained from the voltaic battery: it would be far too much to burn at once; i have therefore arranged to blow soap-bubbles with it, and burn those bubbles, that we may see by a general experiment or two how this oxygen supports the combustion of the hydrogen. first of all, we will see whether we can blow a bubble. well, there goes the gas [causing it to issue through a tobacco-pipe into some soap-suds]. here i have a bubble. i am receiving them on my hand: and you will perhaps think i am acting oddly in this experiment; but it is to shew you that we must not always trust to noise and sounds, but rather to real facts. [exploding a bubble on the palm of his hand.] i am afraid to fire a bubble from the end of the pipe, because the explosion would pass up into the jar and blow it to pieces. this oxygen then will unite with the hydrogen, as you see by the phenomena, and hear by the sound, with the utmost readiness of action, and all its powers are then taken up in its neutralisation of the qualities of the hydrogen. so now i think you will perceive the whole history of water with reference to oxygen and the air, from what we have before said. why does a piece of potassium decompose water? because it finds oxygen in the water. what is set free when i put it in the water, as i am about to do again? it sets free hydrogen, and the hydrogen burns; but the potassium itself combines with oxygen; and this piece of potassium, in taking the water apart--the water, you may say, derived from the combustion of the candle--takes away the oxygen which the candle took from the air, and so sets the hydrogen free; and even if i take a piece of ice, and put a piece of potassium upon it, the beautiful affinities by which the oxygen and the hydrogen are related are such, that the ice will absolutely set fire to the potassium. i shew this to you to-day, in order to enlarge your ideas of these things, and that you may see how greatly results are modified by circumstances. there is the potassium on the ice, producing a sort of volcanic action. it will be my place, when next we meet, having pointed out these anomalous actions, to shew you that none of these extra and strange effects are met with by us--that none of these strange and injurious actions take place when we are burning, not merely a candle, but gas in our streets, or fuel in our fireplaces, so long as we confine ourselves within the laws that nature has made for our guidance. lecture v. oxygen present in the air--nature of the atmosphere--its properties--other products from the candle--carbonic acid--its properties. we have now seen that we can produce hydrogen and oxygen from the water that we obtained from the candle. hydrogen, you know, comes from the candle, and oxygen, you believe, comes from the air. but then you have a right to ask me, "how is it that the air and the oxygen do not equally well burn the candle?" if you remember what happened when i put a jar of oxygen over a piece of candle, you recollect there was a very different kind of combustion to that which took place in the air. now, why is this? it is a very important question, and one i shall endeavour to make you understand: it relates most intimately to the nature of the atmosphere, and is most important to us. we have several tests for oxygen besides the mere burning of bodies. you have seen a candle burnt in oxygen, or in the air; you have seen phosphorus burnt in the air, or in oxygen; and you have seen iron-filings burnt in oxygen. but we have other tests besides these, and i am about to refer to one or two of them for the purpose of carrying your conviction and your experience further. here we have a vessel of oxygen. i will shew its presence to you: if i take a little spark and put it into that oxygen, you know, by the experience you gained the last time we met, what will happen; if i put that spark into the jar, it will tell you whether we have oxygen here or not. yes! we have proved it by combustion; and now here is another test for oxygen, which is a very curious and useful one. i have here two jars full of gas, with a plate between them to prevent their mixing; i take the plate away, and the gases are creeping one into the other. "what happens?" say you: "they together produce no such combustion as was seen in the case of the candle." but see how the presence of oxygen is told by its association with this other substance[ ]. what a beautifully coloured gas i have obtained in this way, shewing me the presence of the oxygen! in the same way we can try this experiment by mixing common air with this test-gas. here is a jar containing air--such air as the candle would burn in--and here is a jar or bottle containing the test-gas. i let them come together over water, and you see the result: the contents of the test-bottle are flowing into the jar of air, and you see i obtain exactly the same kind of action as before, and that shews me that there is oxygen in the air--the very same substance that has been already obtained by us from the water produced by the candle. but then, beyond that, how is it that the candle does not burn in air as well as in oxygen? we will come to that point at once. i have here two jars; they are filled to the same height with gas, and the appearance to the eye is alike in both, and i really do not know at present which of these jars contains oxygen and which contains air, although i know they have previously been filled with these gases. but here is our test-gas, and i am going to work with the two jars, in order to examine whether there is any difference between them in the quality of reddening this gas. i am now going to turn this test-gas into one of the jars, and observe what happens. there is reddening, you see; there is then oxygen present. we will now test the other jar; but you see this is not so distinctly red as the first: and, further, this curious thing happens,--if i take these two gases and shake them well together with water, we shall absorb the red gas; and then, if i put in more of this test-gas and shake again, we shall absorb more; and i can go on as long as there be any oxygen present to produce that effect. if i let in air, it will not matter; but the moment i introduce water, the red gas disappears; and i may go on in this way, putting in more and more of the test-gas, until i come to something left behind which will not redden any longer by the use of that particular body that rendered the air and the oxygen red. why is that? you see in a moment it is because there is, besides oxygen, something else present which is left behind. i will let a little more air into the jar, and if it turns red you will know that some of that reddening gas is still present, and that consequently it was not for the want of this producing body that that air was left behind. now, you will begin to understand what i am about to say. you saw that when i burnt phosphorus in a jar, as the smoke produced by the phosphorus and the oxygen of the air condensed, it left a good deal of gas unburnt, just as this red gas left something untouched,--there was, in fact, this gas left behind, which the phosphorus cannot touch, which the reddening gas cannot touch, and this something is not oxygen, and yet is part of the atmosphere. so that is one way of opening out air into the two things of which it is composed--oxygen, which burns our candles, our phosphorus, or anything else; and this other substance--nitrogen--which will not burn them. this other part of the air is by far the larger proportion, and it is a very curious body, when we come to examine it; it is remarkably curious, and yet you say, perhaps, that it is very uninteresting. it is uninteresting in some respects because of this--that it shews no brilliant effects of combustion. if i test it with a taper as i do oxygen and hydrogen, it does not burn like hydrogen, nor does it make the taper burn like oxygen. try it in any way i will, it does neither the one thing nor the other: it will not take fire; it will not let the taper burn; it puts out the combustion of everything. there is nothing that will burn in it in common circumstances. it has no smell; it is not sour; it does not dissolve in water; it is neither an acid nor an alkali; it is as indifferent to all our organs as it is possible for a thing to be. and you might say, "it is nothing; it is not worth chemical attention; what does it do in the air?" ah! then come our beautiful and fine results shewn us by an observant philosophy. suppose, in place of having nitrogen, or nitrogen and oxygen, we had pure oxygen as our atmosphere; what would become of us? you know very well that a piece of iron lit in a jar of oxygen goes on burning to the end. when you see a fire in an iron grate, imagine where the grate would go to if the whole of the atmosphere were oxygen. the grate would burn up more powerfully than the coals--for the iron of the grate itself is even more combustible than the coals which we burn in it. a fire put into the middle of a locomotive would be a fire in a magazine of fuel, if the atmosphere were oxygen. the nitrogen lowers it down and makes it moderate and useful for us, and then, with all that, it takes away with it the fumes that you have seen produced from the candle, disperses them throughout the whole of the atmosphere, and carries them away to places where they are wanted to perform a great and glorious purpose of good to man, for the sustenance of vegetation; and thus does a most wonderful work, although you say, on examining it, "why, it is a perfectly indifferent thing." this nitrogen in its ordinary state is an inactive element; no action short of the most intense electric force, and then in the most infinitely small degree, can cause the nitrogen to combine directly with the other element of the atmosphere, or with other things round about it; it is a perfectly indifferent, and therefore to say, a safe substance. but before i take you to that result, i must tell you about the atmosphere itself. i have written on this diagram the composition of one hundred parts of atmospheric air:-- bulk. weight. oxygen, . . . . . . nitrogen, . . . . . ---- ----- l . it is a true analysis of the atmosphere, so far as regards the quantity of oxygen and the quantity of nitrogen present. by our analysis, we find that pints of the atmosphere contain only pint of oxygen, and pints, or parts, of nitrogen by bulk. that is our analysis of the atmosphere. it requires all that quantity of nitrogen to reduce the oxygen down, so as to be able to supply the candle properly with fuel, so as to supply us with an atmosphere which our lungs can healthily and safely breathe; for it is just as important to make the oxygen right for us to breathe, as it is to make the atmosphere right for the burning of the fire and the candle. but now for this atmosphere. first of all, let me tell you the weight of these gases. a pint of nitrogen weighs - / grains, or a cubic foot weighs - / ounce. that is the weight of the nitrogen. the oxygen is heavier: a pint of it weighs - / grains, and a cubic foot weighs - / ounce. a pint of air weighs about - / grains, and a cubic foot - / ounce. [illustration: fig. .] you have asked me several times, and i am very glad you have, "how do you weigh gases?" i will shew you; it is very simple, and easily done. here is a balance, and here a copper bottle, made as light as we can consistent with due strength, turned very nicely in the lathe, and made perfectly air-tight, with a stop-cock, which we can open and shut, which at present is open, and therefore allows the bottle to be full of air. i have here a nicely-adjusted balance, in which i think the bottle, in its present condition, will be balanced by the weight on the other side. and here is a pump by which we can force the air into this bottle, and with it we will force in a certain number of volumes of air, as measured by the pump. [twenty measures were pumped in.] we will shut that in and put it in the balance. see how it sinks: it is much heavier than it was. by what? by the air that we have forced into it by the pump. there is not a greater _bulk_ of air, but there is the same bulk of _heavier_ air, because we have forced in air upon it. and that you may have a fair notion in your mind as to how much this air measures, here is a jar full of water. we will open that copper vessel into this jar, and let the air return to its former state. all i have to do now is to screw them tightly together, and to turn the taps, when there, you see, is the bulk of the twenty pumps of air which i forced into the bottle; and to make sure that we have been quite correct in what we have been doing, we will take the bottle again to the balance, and, if it is now counterpoised by the original weight, we shall be quite sure we have made our experiment correctly. [illustration: fig. .] it is balanced; so, you see, we can find out the weight of the extra volumes of air forced in, in that way, and by that means we are able to ascertain that a cubic foot of air weighs - / ounce. but that small experiment will by no means convey to your mind the whole literal truth of this matter. it is wonderful how it accumulates when you come to larger volumes. this bulk of air [a cubic foot] weighs - / ounce. what do you think of the contents of that box above there, which i have had made for the purpose? the air which is within that box weighs one pound--a full pound; and i have calculated the weight of the air in this room,--you would hardly imagine it, but it is above a ton. so rapidly do the weights rise up, and so important is the presence of the atmosphere, and of the oxygen and the nitrogen in it, and the use it performs in conveying things to and fro from place to place, and carrying bad vapours to places where they will do good instead of harm. having given you that little illustration with respect to the weight of the air, let me shew you certain consequences of it. you have a right to them, because you would not understand so much without it. do you remember this kind of experiment? have you ever seen it? suppose i take a pump somewhat similar to the one i had a little while ago to force air into the bottle, and suppose i place it in such a manner that by certain arrangements i can apply my hand to it: my hand moves about in the air so easily that it seems to feel nothing, and i can hardly get velocity enough by any motion of my own in the atmosphere to make sure that there is much resistance to it. [illustration: fig. .] but, when i put my hand here [on the air-pump receiver, which was afterwards exhausted], you see what happens. why is my hand fastened to this place, and why am i able to pull this pump about? and see! how is it that i can hardly get my hand away? why is this? it is the weight of the air--the weight of the air that is above. i have another experiment here, which i think will explain to you more about it. when the air is pumped from underneath the bladder which is stretched over this glass, you will see the effect in another shape: the top is quite flat at present, but i will make a very little motion with the pump, and now look at it--see how it has gone down, see how it is bent in. you will see the bladder go in more and more, until at last i expect it will be driven in and broken by the force of the atmosphere pressing upon it. [illustration: fig. .] [the bladder at last broke with a loud report.] now, that was done entirely by the weight of the air pressing on it, and you can easily understand how that is. the particles that are piled up in the atmosphere stand upon each other, as these five cubes do. you can easily conceive that four of these five cubes are resting upon the bottom one, and if i take that away, the others will all sink down. so it is with the atmosphere: the air that is above is sustained by the air that is beneath; and when the air is pumped away from beneath them, the change occurs which you saw when i placed my hand on the air-pump, and which you saw in the case of the bladder, and which you shall see better here. i have tied over this jar a piece of sheet india-rubber, and i am now about to take away the air from the inside of the jar; and if you will watch the india-rubber--which acts as a partition between the air below and the air above--you will see, when i pump, how the pressure shews itself. see where it is going to--i can actually put my hand into the jar; and yet this result is only caused by the great and powerful action of the air above. how beautifully it shews this curious circumstance! here is something that you can have a pull at, when i have finished to-day. it is a little apparatus of two hollow brass hemispheres, closely fitted together, and having connected with it a pipe and a cock, through which we can exhaust the air from the inside; and although the two halves are so easily taken apart, while the air is left within, yet you will see, when we exhaust it by-and-by, no power of any two of you will be able to pull them apart. every square inch of surface that is contained in the area of that vessel sustains fifteen pounds by weight, or nearly so, when the air is taken out; and you may try your strength presently in seeing whether you can overcome that pressure of the atmosphere. here is another very pretty thing--the boys' sucker, only refined by the philosopher. we young ones have a perfect right to take toys, and make them into philosophy, inasmuch as now-a-days we are turning philosophy into toys. here is a sucker, only it is made of india-rubber: if i clap it upon the table, you see at once it holds. why does it hold? i can slip it about, and yet if i try to pull it up, it seems as if it would pull the table with it i can easily make it slip about from place to place; but only when i bring it to the edge of the table can i get it off. it is only kept down by the pressure of the atmosphere above. we have a couple of them; and if you take these two and press them together, you will see how firmly they stick. and, indeed, we may use them as they are proposed to be used, to stick against windows, or against walls, where they will adhere for an evening, and serve to hang anything on that you want. i think, however, that you boys ought to be shewn experiments that you can make at home; and so here is a very pretty experiment in illustration of the pressure of the atmosphere. here is a tumbler of water. suppose i were to ask you to turn that tumbler upside-down, so that the water should not fall out, and yet not be kept in by your hand, but merely by using the pressure of the atmosphere. could you do that? take a wine-glass, either quite full or half-full of water, and put a flat card on the top, turn it upside-down, and then see what becomes of the card and of the water. the air cannot get in because the water by its capillary attraction round the edge keeps it out. i think this will give you a correct notion of what you may call the materiality of the air; and when i tell you that the box holds a pound of it, and this room more than a ton, you will begin to think that air is something very serious. i will make another experiment, to convince you of this positive resistance. there is that beautiful experiment of the popgun, made so well and so easily, you know, out of a quill, or a tube, or anything of that kind,--where we take a slice of potato, for instance, or an apple, and take the tube and cut out a pellet, as i have now done, and push it to one end. i have made that end tight; and now i take another piece and put it in: it will confine the air that is within the tube perfectly and completely for our purpose; and i shall now find it absolutely impossible by any force of mine to drive that little pellet close up to the other. it cannot be done. i may press the air to a certain extent, but if i go on pressing, long before it comes to the second, the confined air will drive the front one out with a force something like that of gunpowder; for gunpowder is in part dependent upon the same action that you see here exemplified. i saw the other day an experiment which pleased me much, as i thought it would serve our purpose here. (i ought to have held my tongue for four or five minutes before beginning this experiment, because it depends upon my lungs for success.) by the proper application of air i expect to be able to drive this egg out of one cup into the other by the force of my breath; but if i fail, it is in a good cause; and i do not promise success, because i have been talking more than i ought to do to make the experiment succeed. [the lecturer here tried the experiment, and succeeded in blowing the egg from one egg-cup to the other.] you see that the air which i blow goes downwards between the egg and the cup, and makes a blast under the egg, and is thus able to lift a heavy thing--for a full egg is a very heavy thing for air to lift. if you want to make the experiment, you had better boil the egg quite hard first, and then you may very safely try to blow it from one cup to the other, with a little care. i have now kept you long enough upon this property of the weight of the air, but there is another thing i should like to mention. you saw the way in which, in this popgun, i was able to drive the second piece of potato half or two-thirds of an inch before the first piece started, by virtue of the elasticity of the air--just as i pressed into the copper bottle the particles of air by means of the pump. now, this depends upon a wonderful property in the air, namely, its elasticity; and i should like to give you a good illustration of this. if i take anything that confines the air properly, as this membrane, which also is able to contract and expand so as to give us a measure of the elasticity of the air, and confine in this bladder a certain portion of air; and then, if we take the atmosphere off from the outside of it, just as in these cases we put the pressure on--if we take the pressure off, you will see how it will then go on expanding and expanding, larger and larger, until it will fill the whole of this bell-jar, shewing you that wonderful property of the air, its elasticity, its compressibility, and expansibility, to an exceedingly large extent, and which is very essential for the purposes and services it performs in the economy of creation. we will now turn to another very important part of our subject, remembering that we have examined the candle in its burning, and have found that it gives rise to various products. we have the products, you know, of soot, of water, and of something else which you have not yet examined. we have collected the water, but have allowed the other things to go into the air. let us now examine some of these other products. here is an experiment which i think will help you in part in this way. we will put our candle there, and place over it a chimney, thus. i think my candle will go on burning, because the air-passage is open at the bottom and the top. in the first place, you see the moisture appearing--that you know about. it is water produced from the candle by the action of the air upon its hydrogen. but, besides that, something is going out at the top: it is not moisture--it is not water--it is not condensible; and yet, after all, it has very singular properties. you will find that the air coming out of the top of our chimney is nearly sufficient to blow the light out i am holding to it; and if i put the light fairly opposed to the current, it will blow it quite out. you will say that is as it should be; and i am supposing that you think it ought to do so, because the nitrogen does not support combustion, and ought to put the candle out, since the candle will not burn in nitrogen. [illustration: fig. .] but is there nothing else there than nitrogen? i must now anticipate--that is to say, i must use my own knowledge to supply you with the means that we adopt for the purpose of ascertaining these things, and examining such gases as these. i will take an empty bottle--here is one--and if i hold it over this chimney, i shall get the combustion of the candle below sending its results into the bottle above; and we shall soon find that this bottle contains, not merely an air that is bad as regards the combustion of a taper put into it, but having other properties. let me take a little quick-lime and pour some common water on to it--the commonest water will do. i will stir it a moment, then pour it upon a piece of filtering paper in a funnel, and we shall very quickly have a clear water proceeding to the bottle below, as i have here. i have plenty of this water in another bottle; but, nevertheless, i should like to use the lime-water that was prepared before you, so that you may see what its uses are. if i take some of this beautiful clear lime-water, and pour it into this jar, which has collected the air from the candle, you will see a change coming about. do you see that the water has become quite milky? observe, that will not happen with air merely. here is a bottle filled with air; and if i put a little lime-water into it, neither the oxygen nor the nitrogen, nor anything else that is in that quantity of air, will make any change in the lime-water. it remains perfectly clear, and no shaking of that quantity of lime-water with that quantity of air in its common state will cause any change; but if i take this bottle with the lime-water, and hold it so as to get the general products of the candle in contact with it, in a very short time we shall have it milky. there is the chalk, consisting of the lime which we used in making the lime-water, combined with something that came from the candle--that other product which we are in search of, and which i want to tell you about to-day. this is a substance made visible to us by its action, which is not the action of the lime-water either upon the oxygen or upon the nitrogen, nor upon the water itself, but it is something new to us from the candle. and then we find this white powder, produced by the lime-water and the vapour from the candle, appears to us very much like whitening or chalk, and, when examined, it does prove to be exactly the same substance as whitening or chalk. so we are led, or have been led, to observe upon the various circumstances of this experiment, and to trace this production of chalk to its various causes, to give us the true knowledge of the nature of this combustion of the candle--to find that this substance, issuing from the candle, is exactly the same as that substance which would issue from a retort, if i were to put some chalk into it with a little moisture, and make it red-hot: you would then find that exactly the same substance would issue from it as from the candle. but we have a better means of getting this substance, and in greater quantity, so as to ascertain what its general characters are. we find this substance in very great abundance in a multitude of cases where you would least expect it. all limestones contain a great deal of this gas which issues from the candle, and which we call _carbonic acid_. all chalks, all shells, all corals contain a great quantity of this curious air. we find it fixed in these stones; for which reason dr. black called it "fixed air"--finding it in these fixed things like marble and chalk. he called it fixed air, because it lost its quality of air, and assumed the condition of a solid body. we can easily get this air from marble. here is a jar containing a little muriatic acid, and here is a taper which, if i put it into that jar, will shew only the presence of common air. there is, you see, pure air down to the bottom; the jar is full of it here is a substance--marble[ ], a very beautiful and superior marble--and if i put these pieces of marble into the jar, a great boiling apparently goes on. that, however, is not steam--it is a gas that is rising up; and if i now search the jar by a candle, i shall have exactly the same effect produced upon the taper as i had from the air which issued from the end of the chimney over the burning candle. it is exactly the same action, and caused by the very same substance that issued from the candle; and in this way we can get carbonic acid in great abundance--we have already nearly filled the jar. we also find that this gas is not merely contained in marble. here is a vessel in which i have put some common whitening--chalk, which has been washed in water and deprived of its coarser particles, and so supplied to the plasterer as whitening. here is a large jar containing this whitening and water, and i have here some strong sulphuric acid, which is the acid you might have to use if you were to make these experiments (only, in using this acid with limestone, the body that is produced is an insoluble substance, whereas the muriatic acid produces a soluble substance that does not so much thicken the water). and you will seek out a reason why i take this kind of apparatus for the purpose of shewing this experiment. i do it because you may repeat in a small way what i am about to do in a large one. you will have here just the same kind of action; and i am evolving in this large jar carbonic acid, exactly the same in its nature and properties as the gas which we obtained from the combustion of the candle in the atmosphere. and no matter how different the two methods by which we prepare this carbonic acid, you will see, when we get to the end of our subject, that it is all exactly the same, whether prepared in the one way or in the other. we will now proceed to the next experiment with regard to this gas. what is its nature? here is one of the vessels full, and we will try it, as we have done so many other gases, by combustion. you see it is not combustible, nor does it support combustion. neither, as we know, does it dissolve much in water, because we collect it over water very easily. then, you know that it has an effect, and becomes white in contact with lime-water; and when it does become white in that way, it becomes one of the constituents to make carbonate of lime or limestone. the next thing i must shew you is, that it really does dissolve a little in water, and therefore that it is unlike oxygen and hydrogen in that respect i have here an apparatus by which we can produce this solution. in the lower part of this apparatus is marble and acid, and in the upper part cold water. the valves are so arranged that the gas can get from one to the other. i will set it in action now, and you can see the gas bubbling up through the water, as it has been doing all night long, and by this time we shall find that we have this substance dissolved in the water. if i take a glass and draw off some of the water, i find that it tastes a little acid to the mouth: it is impregnated with carbonic acid; and if i now apply a little lime-water to it, that will give us a test of its presence. this water will make the lime-water turbid and white, which is proof of the presence of carbonic acid. then it is a very weighty gas--it is heavier than the atmosphere. i have put their respective weights at the lower part of this table, along with, for comparison, the weights of the other gases we have been examining:-- pint. cubic foot. hydrogen, . . . . / grains. / ounce. oxygen, . . . . - / " - / " nitrogen, . . . . - / " - / " air,. . . . . . - / " - / " carbonic acid, . . - / " - / " a pint of it weighs - / grains, and a cubic foot weighs - / ounce, almost two ounces. you can see by many experiments that this is a heavy gas. suppose i take a glass containing nothing else but air, and from this vessel containing the carbonic acid i attempt to pour a little of this gas into that glass; i wonder whether any has gone in or not. i cannot tell by the appearance, but i can in this way [introducing the taper]. yes, there it is, you see; and if i were to examine it by lime-water, i should find it by that test also. i will take this little bucket, and put it down into the well of carbonic acid--indeed, we too often have real wells of carbonic acid--and now, if there is any carbonic acid, i must have got to it by this time, and it will be in this bucket, which we will examine with a taper. there it is, you see; it is full of carbonic acid. [illustration: fig. .] there is another experiment by which i will shew you its weight. i have here a jar suspended at one end of a balance--it is now equipoised; but when i pour this carbonic acid into the jar on the one side which now contains air, you will see it sink down at once, because of the carbonic acid that i pour into it. and now, if i examine this jar with the lighted taper, i shall find that the carbonic acid has fallen into it, and it no longer has any power of supporting the combustion. if i blow a soap-bubble, which of course will be filled with air, and let it fall into this jar of carbonic acid, it will float. [illustration: fig. .] but i shall first of all take one of these little balloons filled with air. i am not quite sure where the carbonic acid is; we will just try the depth, and see whereabouts is its level. there, you see, we have this bladder floating on the carbonic acid; and if i evolve some more of the carbonic acid, the bladder will be lifted up higher. there it goes--the jar is nearly full; and now i will see whether i can blow a soap-bubble on that, and float it in the same way. [the lecturer here blew a soap-bubble, and allowed it to fall into the jar of carbonic acid, when it floated in it midway.] it is floating, as the balloon floated, by virtue of the greater weight of the carbonic acid than of the air. and now, having so far given you the history of the carbonic acid--as to its sources in the candle, as to its physical properties and weight--when we next meet i shall shew you of what it is composed, and where it gets its elements from. lecture vi. carbon or charcoal--coal gas--respiration and its analogy to the burning of a candle--conclusion. a lady, who honours me by her presence at these lectures, has conferred a still further obligation by sending me these two candles, which are from japan, and, i presume, are made of that substance to which i referred in a former lecture. you see that they are even far more highly ornamented than the french candles; and, i suppose, are candles of luxury, judging from their appearance. they have a remarkable peculiarity about them--namely, a hollow wick,--that beautiful peculiarity which argand introduced into the lamp, and made so valuable. to those who receive such presents from the east, i may just say that this and such like materials gradually undergo a change which gives them on the surface a dull and dead appearance; but they may easily be restored to their original beauty, if the surface be rubbed with a clean cloth or silk handkerchief, so as to polish the little rugosity or roughness: this will restore the beauty of the colours. i have so rubbed one of these candles, and you see the difference between it and the other which has not been polished, but which may be restored by the same process. observe, also, that these moulded candles from japan are made more conical than the moulded candles in this part of the world. i told you, when we last met, a good deal about carbonic acid. we found, by the lime-water test, that when the vapour from the top of the candle or lamp was received into bottles, and tested by this solution of lime-water (the composition of which i explained to you, and which you can make for yourselves), we had that white opacity which was in fact calcareous matter, like shells and corals, and many of the rocks and minerals in the earth. but i have not yet told you fully and clearly the chemical history of this substance--carbonic acid--as we have it from the candle, and i must now resume that subject. we have seen the products, and the nature of them, as they issue from the candle. we have traced the water to its elements, and now we have to see where are the elements of the carbonic acid supplied by the candle. a few experiments will shew this. you remember that when a candle burns badly, it produces smoke; but if it is burning well, there is no smoke. and you know that the brightness of the candle is due to this smoke, which becomes ignited. here is an experiment to prove this: so long as the smoke remains in the flame of the candle and becomes ignited, it gives a beautiful light, and never appears to us in the form of black particles. i will light some fuel, which is extravagant in its burning. this will serve our purpose--a little turpentine on a sponge. you see the smoke rising from it, and floating into the air in large quantities; and, remember now, the carbonic acid that we have from the candle is from such smoke as that. to make that evident to you, i will introduce this turpentine burning on the sponge into a flask where i have plenty of oxygen, the rich part of the atmosphere, and you now see that the smoke is all consumed. this is the first part of our experiment; and now, what follows? the carbon which you saw flying off from the turpentine flame in the air is now entirely burned in this oxygen, and we shall find that it will, by this rough and temporary experiment, give us exactly the same conclusion and result as we had from the combustion of the candle. the reason why i make the experiment in this manner is solely that i may cause the steps of our demonstration to be so simple that you can never for a moment lose the train of reasoning, if you only pay attention. all the carbon which is burned in oxygen, or air, comes out as carbonic acid, whilst those particles which are not so burned shew you the second substance in the carbonic acid--namely, the carbon--that body which made the flame so bright whilst there was plenty of air, but which was thrown off in excess when there was not oxygen enough to burn it. i have also to shew you a little more distinctly the history of carbon and oxygen, in their union to make carbonic acid. you are now better able to understand this than before, and i have prepared three or four experiments by way of illustration. this jar is filled with oxygen, and here is some carbon which has been placed in a crucible, for the purpose of being made red-hot. i keep my jar dry, and venture to give you a result imperfect in some degree, in order that i may make the experiment brighter. i am about to put the oxygen and the carbon together. that this is carbon (common charcoal pulverised), you will see by the way in which it burns in the air [letting some of the red-hot charcoal fall out of the crucible]. i am now about to burn it in oxygen gas, and look at the difference. it may appear to you at a distance as if it were burning with a flame; but it is not so. every little piece of charcoal is burning as a spark, and whilst it so burns it is producing carbonic acid. i specially want these two or three experiments to point out what i shall dwell upon more distinctly by-and-by--that carbon burns in this way, and not as a flame. instead of taking many particles of carbon to burn, i will take a rather large piece, which will enable you to see the form and size; and to trace the effects very decidedly. here is the jar of oxygen, and here is the piece of charcoal, to which i have fastened a little piece of wood, which i can set fire to, and so commence the combustion, which i could not conveniently do without. you now see the charcoal burning, but not as a flame (or if there be a flame, it is the smallest possible one, which i know the cause of--namely, the formation of a little carbonic oxide close upon the surface of the carbon). it goes on burning, you see, slowly producing carbonic acid by the union of this carbon or charcoal (they are equivalent terms) with the oxygen. i have here another piece of charcoal, a piece of bark, which has the quality of being blown to pieces--exploding as it burns. by the effect of the heat, we shall reduce the lump of carbon into particles that will fly off; still every particle, equally with the whole mass, burns in this peculiar way: it burns as a coal, and not like a flame. you observe a multitude of little combustions going on, but no flame. i do not know a finer experiment than this, to shew that carbon burns with a spark. here, then, is carbonic acid formed from its elements. it is produced at once; and if we examined it by lime-water, you will see that we have the same substance which i have previously described to you. by putting together parts of carbon by weight (whether it comes from the flame of a candle or from powdered charcoal) and parts of oxygen by weight, we have parts of carbonic acid; and, as we saw last time, the parts of carbonic acid, combined with parts of lime, produced common carbonate of lime. if you were to examine an oyster-shell, and weigh the component parts, you would find that every parts would give of carbon and of oxygen, combined with of lime. however, i do not want to trouble you with these minuti¾--it is only the general philosophy of the matter that we can now go into. see how finely the carbon is dissolving away [pointing to the lump of charcoal burning quietly in the jar of oxygen]. you may say that the charcoal is actually dissolving in the air round about; and if that were perfectly pure charcoal, which we can easily prepare, there would be no residue whatever. when we have a perfectly cleansed and purified piece of carbon, there is no ash left. the carbon burns as a solid dense body, that heat alone cannot change as to its solidity, and yet it passes away into vapour that never condenses into solid or liquid under ordinary circumstances; and what is more curious still, is the fact that the oxygen does not change in its bulk by the solution of the carbon in it. just as the bulk is at first, so it is at last, only it has become carbonic acid. there is another experiment which i must give you before you are fully acquainted with the general nature of carbonic acid. being a compound body, consisting of carbon and oxygen, carbonic acid is a body that we ought to be able to take asunder. and so we can. as we did with water, so we can with carbonic acid--take the two parts asunder. the simplest and quickest way is to act upon the carbonic acid by a substance that can attract the oxygen from it, and leave the carbon behind. you recollect that i took potassium and put it upon water or ice, and you saw that it could take the oxygen from the hydrogen. now, suppose we do something of the same kind here with this carbonic acid. you know carbonic acid to be a heavy gas. i will not test it with lime-water, as that will interfere with our subsequent experiments; but i think the heaviness of the gas and the power of extinguishing flame will be sufficient for our purpose. i introduce a flame into the gas, and you will see whether it will be put out. you see the light is extinguished. indeed, the gas may, perhaps, put out phosphorus, which, you know, has a pretty strong combustion. here is a piece of phosphorus heated to a high degree. i introduce it into gas, and you observe the light is put out; but it will take fire again in the air, because there it re-enters into combustion. now, let me take a piece of potassium, a substance which, even at common temperatures, can act upon carbonic acid, though not sufficiently for our present purpose, because it soon gets covered with a protecting coat; but if we warm it up to the burning point in air, as we have a fair right to do, and as we have done with phosphorus, you will see that it can burn in carbonic acid; and if it burns, it will burn by taking oxygen, so that you will see what is left behind. i am going, then, to burn this potassium in the carbonic acid, as a proof of the existence of oxygen in the carbonic acid. [in the preliminary process of heating, the potassium exploded.] sometimes we get an awkward piece of potassium that explodes, or something like it, when it burns. i will take another piece; and now that it is heated, i introduce it into the jar, and you perceive that it burns in the carbonic acid--not so well as in the air, because the carbonic acid contains the oxygen combined; but it does burn, and takes away the oxygen. if i now put this potassium into water, i find that, besides the potash formed (which you need not trouble about), there is a quantity of carbon produced. i have here made the experiment in a very rough way; but i assure you that if i were to make it carefully, devoting a day to it, instead of five minutes, we should get all the proper amount of charcoal left in the spoon, or in the place where the potassium was burned, so that there could be no doubt as to the result. here, then, is the carbon obtained from the carbonic acid, as a common black substance; so that you have the entire proof of the nature of carbonic acid as consisting of carbon and oxygen. and now, i may tell you, that _whenever_ carbon burns under common circumstances, it produces carbonic acid. suppose i take this piece of wood, and put it into a bottle with lime-water. i might shake that lime-water up with wood and the atmosphere as long as i pleased, it would still remain clear as you see it; but suppose i burn the piece of wood in the air of that bottle. you, of course, know i get water. do i get carbonic acid? [the experiment was performed.] there it is, you see--that is to say, the carbonate lime, which results from carbonic acid, and that carbonic acid must be formed from the carbon which comes from the wood, from the candle, or any other thing. indeed, you have yourselves frequently tried a very pretty experiment, by which you may see the carbon in wood. if you take a piece of wood, and partly burn it, and then blow it out, you have carbon left. there are things that do not shew carbon in this way. a candle does not shew it, but it contains carbon. here also is a jar of coal-gas, which produces carbonic acid abundantly. you do not see the carbon, but we can soon shew it to you. i will light it, and as long as there is any gas in this cylinder it will go on burning. you see no carbon, but you see a flame; and because that is bright, it will lead you to guess that there is carbon in the flame. but i will shew it to you by another process. i have some of the same gas in another vessel, mixed with a body that will burn the hydrogen of the gas, but will not burn the carbon. i will light them with a burning taper, and you perceive the hydrogen is consumed, but not the carbon, which is left behind as a dense black smoke. i hope that by these three or four experiments you will learn to see when carbon is present, and understand what are the products of combustion, when gas or other bodies are thoroughly burned in the air. before we leave the subject of carbon, let us make a few experiments and remarks upon its wonderful condition as respects ordinary combustion. i have shewn you that the carbon in burning burns only as a solid body, and yet you perceive that, after it is burned, it ceases to be a solid. there are very few fuels that act like this. it is, in fact, only that great source of fuel, the carbonaceous series, the coals, charcoals, and woods, that can do it. i do not know that there is any other elementary substance besides carbon that burns with these conditions; and if it had not been so, what would happen to us? suppose all fuel had been like iron, which, when it burns, burns into a solid substance. we could not then have such a combustion as you have in this fire-place. here also is another kind of fuel which burns very well--as well as, if not better, than carbon--so well, indeed, as to take fire of itself when it is in the air, as you see [breaking a tube full of lead pyrophorus]. this substance is lead, and you see how wonderfully combustible it is. it is very much divided, and is like a heap of coals in the fireplace; the air can get to its surface and inside, and so it burns. but why does it not burn in that way now, when it is lying in a mass? [emptying the contents of the tube in a heap on to a plate of iron]. simply because the air cannot get to it. though it can produce a great heat, the great heat which we want in our furnaces and under our boilers, still that which is produced cannot get away from the portion which remains unburned underneath, and that portion, therefore, is prevented from coming in contact with the atmosphere, and cannot be consumed. how different is that from carbon. carbon burns just in the same way as this lead does, and so gives an intense fire in the furnace, or wherever you choose to burn it; but then the body produced by its combustion passes away, and the remaining carbon is left clear. i shewed you how carbon went on dissolving in the oxygen, leaving no ash; whereas here [pointing to the heap of pyrophorus] we have actually more ash than fuel, for it is heavier by the amount of the oxygen which has united with it. thus you see the difference between carbon and lead or iron: if we choose iron, which gives so wonderful a result in our application of this fuel, either as light or heat. if, when the carbon burnt, the product went off as a solid body, you would have had the room filled with an opaque substance, as in the case of the phosphorus; but when carbon burns, everything passes up into the atmosphere. it is in a fixed, almost unchangeable condition before the combustion; but afterwards it is in the form of gas, which it is very difficult (though we have succeeded) to produce in a solid or a liquid state. now, i must take you to a very interesting part of our subject--to the relation between the combustion of a candle and that living kind of combustion which goes on within us. in every one of us there is a living process of combustion going on very similar to that of a candle; and i must try to make that plain to you. for it is not merely true in a poetical sense--the relation of the life of man to a taper; and if you will follow, i think i can make this clear. in order to make the relation very plain, i have devised a little apparatus which we can soon build up before you. here is a board and a groove cut in it, and i can close the groove at the top part by a little cover. i can then continue the groove as a channel by a glass tube at each end, there being a free passage through the whole. suppose i take a taper or candle (we can now be liberal in our use of the word "candle," since we understand what it means), and place it in one of the tubes; it will go on, you see, burning very well. you observe that the air which feeds the flame passes down the tube at one end, then goes along the horizontal tube, and ascends the tube at the other end in which the taper is placed. [illustration: fig. ] if i stop the aperture through which the air enters, i stop combustion, as you perceive. i stop the supply of air, and consequently the candle goes out. but, now, what will you think of this fact? in a former experiment i shewed you the air going from one burning candle to a second candle. if i took the air proceeding from another candle, and sent it down by a complicated arrangement into this tube, i should put this burning candle out. but what will you say when i tell you that my breath will put out that candle? i do not mean by blowing at all, but simply that the nature of my breath is such that a candle cannot burn in it. i will now hold my mouth over the aperture, and without blowing the flame in any way, let no air enter the tube but what comes from my mouth. you see the result. i did not blow the candle out. i merely let the air which i expired pass into the aperture, and the result was that the light went out for want of oxygen, and for no other reason. something or other--namely, my lungs--had taken away the oxygen from the air, and there was no more to supply the combustion of the candle. it is, i think, very pretty to see the time it takes before the bad air which i throw into this part of the apparatus has reached the candle. the candle at first goes on burning, but so soon as the air has had time to reach it, it goes out. and, now, i will shew you another experiment, because this is an important part of our philosophy. here is a jar which contains fresh air, as you can see by the circumstance of a candle or gas-light burning it. i make it close for a little time, and by means of a pipe i get my mouth over it so that i can inhale the air. by putting it over water, in the way that you see, i am able to draw up this air (supposing the cork to be quite tight), take it into my lungs, and throw it back into the jar. [illustration: fig. .] we can then examine it, and see the result. you observe, i first take up the air, and then throw it back, as is evident from the ascent and descent of the water; and now, by putting a taper into the air, you will see the state in which it is, by the light being extinguished. even one inspiration, you see, has completely spoiled this air, so that it is no use my trying to breathe it a second time. now, you understand the ground of the impropriety of many of the arrangements among the houses of the poorer classes, by which the air is breathed over and over again, for the want of a supply, by means of proper ventilation, sufficient to produce a good result. you see how bad the air becomes by a single breathing; so that you can easily understand how essential fresh air is to us. to pursue this a little further, let us see what will happen with lime-water. here is a globe which contains a little lime-water, and it is so arranged as regards the pipes, as to give access to the air within, so that we can ascertain the effect of respired or unrespired air upon it. of course, i can either draw in air (through a), and so make the air that feeds my lungs go through the lime-water, or i can force the air out of my lungs through the tube (b), which goes to the bottom, and so shew its effect upon the lime-water. [illustration: fig. .] you will observe that, however long i draw the external air into the lime-water, and then through it to my lungs, i shall produce no effect upon the water--it will not make the lime-water turbid; but if i throw the air _from_ my lungs through the lime-water, several times in succession, you see how white and milky the water is getting, shewing the effect which expired air has had upon it; and now you begin to know that the atmosphere which we have spoiled by respiration is spoiled by carbonic acid, for you see it here in contact with the lime-water. i have here two bottles, one containing lime-water and the other common water, and tubes which pass into the bottles and connect them. the apparatus is very rough, but it is useful notwithstanding. [illustration: fig. .] if i take these two bottles, inhaling here and exhaling there, the arrangement of the tubes will prevent the air going backwards. the air coming in will go to my mouth and lungs, and in going out, will pass through the lime-water, so that i can go on breathing and making an experiment, very refined in its nature, and very good in its results. you will observe that the good air has done nothing to the lime-water; in the other case nothing has come to the lime-water but my respiration, and you see the difference in the two cases. let us now go a little further. what is all this process going on within us which we cannot do without, either day or night, which is so provided for by the author of all things that he has arranged that it shall be independent of all will? if we restrain our respiration, as we can to a certain extent, we should destroy ourselves. when we are asleep, the organs of respiration, and the parts that are associated with them, still go on with their action--so necessary is this process of respiration to us, this contact of the air with the lungs. i must tell you, in the briefest possible manner, what this process is. we consume food: the food goes through that strange set of vessels and organs within us, and is brought into various parts of the system, into the digestive parts especially; and alternately the portion which is so changed is carried through our lungs by one set of vessels, while the air that we inhale and exhale is drawn into and thrown out of the lungs by another set of vessels, so that the air and the food come close together, separated only by an exceedingly thin surface: the air can thus act upon the blood by this process, producing precisely the same results in kind as we have seen in the case of the candle. the candle combines with parts of the air, forming carbonic acid, and evolves heat; so in the lungs there is this curious, wonderful change taking place. the air entering, combines with the carbon (not carbon in a free state, but, as in this case, placed ready for action at the moment), and makes carbonic acid, and is so thrown out into the atmosphere, and thus this singular result takes place: we may thus look upon the food as fuel. let me take that piece of sugar, which will serve my purpose. it is a compound of carbon, hydrogen, and oxygen, similar to a candle, as containing the same elements, though not in the same proportion--the proportions being as shewn in this table:-- sugar. carbon, . . . . _ hydrogen, . . . | | oxygen, . . . . _| this is, indeed, a very curious thing, which you can well remember, for the oxygen and hydrogen are in exactly the proportions which form water, so that sugar may be said to be compounded of parts of carbon and parts of water; and it is the carbon in the sugar that combines with the oxygen carried in by the air in the process of respiration--so making us like candles--producing these actions, warmth, and far more wonderful results besides, for the sustenance of the system, by a most beautiful and simple process. to make this still more striking, i will take a little sugar; or, to hasten the experiment, i will use some syrup, which contains about three-fourths of sugar and a little water. if i put a little oil of vitriol on it, it takes away the water, and leaves the carbon in a black mass. [the lecturer mixed the two together.] you see how the carbon is coming out, and before long we shall have a solid mass of charcoal, all of which has come out of sugar. sugar, as you know, is food, and here we have absolutely a solid lump of carbon where you would not have expected it. and if i make arrangements so as to oxidize the carbon of sugar, we shall have a much more striking result here is sugar, and i have here an oxidizer--a quicker one than the atmosphere; and so we shall oxidize this fuel by a process different from respiration in its form, though not different in its kind. it is the combustion of the carbon by the contact of oxygen which the body has supplied to it. if i set this into action at once, you will see combustion produced. just what occurs in my lungs--taking in oxygen from another source, namely, the atmosphere--takes place here by a more rapid process. you will be astonished when i tell you what this curious play of carbon amounts to. a candle will burn some four, five, six, or seven hours. what, then, must be the daily amount of carbon going up into the air in the way of carbonic acid! what a quantity of carbon must go from each of us in respiration! what a wonderful change of carbon must take place under these circumstances of combustion or respiration! a man in twenty-four hours converts as much as seven ounces of carbon into carbonic acid; a milch cow will convert seventy ounces, and a horse seventy-nine ounces, solely by the act of respiration. that is, the horse in twenty-four hours burns seventy-nine ounces of charcoal, or carbon, in his organs of respiration, to supply his natural warmth in that time. all the warm-blooded animals get their warmth in this way, by the conversion of carbon, not in a free state, but in a state of combination. and what an extraordinary notion this gives us of the alterations going on in our atmosphere. as much as , , pounds, or tons, of carbonic acid is formed by respiration in london alone in twenty-four hours. and where does all this go? up into the air. if the carbon had been like the lead which i shewed you, or the iron which, in burning, produces a solid substance, what would happen? combustion could not go on. as charcoal burns, it becomes a vapour and passes off into the atmosphere, which is the great vehicle, the great carrier for conveying it away to other places. then, what becomes of it? wonderful is it to find that the change produced by respiration, which seems so injurious to us (for we cannot breathe air twice over), is the very life and support of plants and vegetables that grow upon the surface of the earth. it is the same also under the surface, in the great bodies of water; for fishes and other animals respire upon the same principle, though not exactly by contact with the open air. such fish as i have here [pointing to a globe of gold-fish] respire by the oxygen which is dissolved from the air by the water, and form carbonic acid; and they all move about to produce the one great work of making the animal and vegetable kingdoms subservient to each other. and all the plants growing upon the surface of the earth, like that which i have brought here to serve as an illustration, absorb carbon. these leaves are taking up their carbon from the atmosphere, to which we have given it in the form of carbonic acid, and they are growing and prospering. give them a pure air like ours, and they could not live in it; give them carbon with other matters, and they live and rejoice. this piece of wood gets all its carbon, as the trees and plants get theirs, from the atmosphere, which, as we have seen, carries away what is bad for us and at the same time good for them,--what is disease to the one being health to the other. so are we made dependent, not merely upon our fellow-creatures, but upon our fellow-existers, all nature being tied together by the laws that make one part conduce to the good of another. there is another little point which i must mention before we draw to a close--a point which concerns the whole of these operations, and most curious and beautiful it is to see it clustering upon and associated with the bodies that concern us--oxygen, hydrogen, and carbon, in different states of their existence. i shewed you just now some powdered lead, which i set burning[ ]; and you saw that the moment the fuel was brought to the air, it acted, even before it got out of the bottle--the moment the air crept in, it acted. now, there is a case of chemical affinity by which all our operations proceed. when we breathe, the same operation is going on within us. when we burn a candle, the attraction of the different parts one to the other is going on. here it is going on in this case of the lead; and it is a beautiful instance of chemical affinity. if the products of combustion rose off from the surface, the lead would take fire, and go on burning to the end; but you remember that we have this difference between charcoal and lead--that, while the lead can start into action at once, if there be access of air to it, the carbon will remain days, weeks, months, or years. the manuscripts of herculaneum were written with carbonaceous ink, and there they have been for , years or more, not having been at all changed by the atmosphere, though coming in contact with it under various circumstances. now, what is the circumstance which makes the lead and carbon differ in this respect? it is a striking thing to see that the matter which is appointed to serve the purpose of fuel _waits_ in its action: it does not start off burning, like the lead and many other things that i could shew you; but which i have not encumbered the table with; but it waits for action. this waiting is a curious and wonderful thing. candles--those japanese candles, for instance--do not start into action at once, like the lead or iron (for iron finely divided does the same thing as lead), but there they wait for years, perhaps for ages, without undergoing any alteration. i have here a supply of coal-gas. the jet is giving forth the gas, but you see it does not take fire--it comes out into the air, but it waits till it is hot enough before it burns. if i make it hot enough, it takes fire. if i blow it out, the gas that is issuing forth waits till the light is applied to it again. it is curious to see how different substances wait--how some will wait till the temperature is raised a little, and others till it is raised a good deal. i have here a little gunpowder and some gun-cotton; even these things differ in the conditions under which they will burn. the gunpowder is composed of carbon and other substances, making it highly combustible; and the gun-cotton is another combustible preparation. they are both waiting, but they will start into activity at different degrees of heat, or under different conditions. by applying a heated wire to them, we shall see which will start first [touching the gun-cotton with the hot iron]. you see the gun-cotton has gone off, but not even the hottest part of the wire is now hot enough to fire the gunpowder. how beautifully that shews you the difference in the degree in which bodies act in this way! in the one case the substance will wait any time until the associated bodies are made active by heat; but in the other, as in the process of respiration, it waits no time. in the lungs, as soon as the air enters, it unites with the carbon; even in the lowest temperature which the body can bear short of being frozen, the action begins at once, producing the carbonic acid of respiration: and so all things go on fitly and properly. thus you see the analogy between respiration and combustion is rendered still more beautiful and striking. indeed, all i can say to you at the end of these lectures (for we must come to an end at one time or other) is to express a wish that you may, in your generation, be fit to compare to a candle; that you may, like it, shine as lights to those about you; that, in all your actions, you may justify the beauty of the taper by making your deeds honourable and effectual in the discharge of your duty to your fellow-men. lecture on platinum. [_delivered before the_ royal institution, _on friday, february , ._] whether i was to have the honour of appearing before you this evening or not, seemed to be doubtful upon one or two points. one of these i will mention immediately; the other may or may not appear during the course of the hour that follows. the first point is this. when i was tempted to promise this subject for your attention this evening, it was founded upon a promise, and a full intent of performing that promise, on the part of my friend deville, of paris, to come here to shew before you a phenomenon in metallurgic chemistry not common. in that i have been disappointed. his intention was to have fused here some thirty or forty pounds of platinum, and so to have made manifest, through my mouth and my statement, the principles of a new process in metallurgy, in relation to this beautiful, magnificent, and valuable metal; but circumstances over which neither he nor i, nor others concerned, have sufficient control, have prevented the fulfilment of that intention; and the period at which i learned the fact was so recent, that i could hardly leave my place here to be filled by another, or permit you, who in your kindness have come to hear what might be said, to remain unreceived in the best manner possible to me under the circumstances. i therefore propose to state, as well as i can, what the principles are on which m. deville proceeds, by means of drawings, and some subordinate or inferior experiments. the metal platinum, of which you see some very fine specimens on the table, has been known to us about a hundred years. it has been wrought in a beautiful way in this country, in france, and elsewhere, and supplied to the consumer in ingots of this kind, or in plates, such as we have here, or in masses, that by their very fall upon the table indicate the great weight of the substance, which is, indeed, nearly at the head of all substances in that respect. this substance has been given to us hitherto mainly through the philosophy of dr. wollaston, whom many of us know, and it is obtained in great purity and beauty. it is a very remarkable metal in many points, besides its known special uses. it usually comes to us in grains. here is a very fine specimen of native platinum in grains. here is also a nugget or ingot, and here are some small pieces gathered out of certain alluvial soils in brazil, mexico, california, and the uralian districts of russia. it is strange that this metal is almost always found associated with some four or five other metals, most curious in their qualities and characteristics. they are called platiniferous metals; and they have not only the relation of being always found associated in this manner, but they have other relations of a curious nature, which i shall point out to you by a reference to one of the tables behind me. this substance is always native--it is always in the metallic state; and the metals with which it is found connected, and which are rarely found elsewhere, are palladium, rhodium, iridium, osmium, and ruthenium. we have the names in one of the tables arranged in two columns, representing, as you see, two groups--platinum, iridium, and osmium constituting one group; and ruthenium, rhodium, and palladium the other. three of these have the chemical equivalent of - / , and the others a chemical equivalent of about half that number. then the metals of one group have an extreme specific gravity--platinum being, in fact, the lightest of the three, or as light as the lightest. osmium has a specific gravity of . , and is the heaviest body in nature; platinum is . , and iridium the same; the specific gravity of the other three being only about half that, namely, . , . , and . . then there is this curious relation, that palladium and iridium are very much alike, so that you would scarcely know one from the other, though one has only half the weight of the other, and only half the equivalent power. so with iridium and rhodium, and osmium and ruthenium, which are so closely allied that they make pairs, being separated each from its own group. then these metals are the most infusible that we possess. osmium is the most difficult to fuse: indeed, i believe it never has been fused, while every other metal has. ruthenium comes next, iridium next, rhodium next, platinum next (so that it ranks here as a pretty fusible metal, and yet we have been long accustomed to speak of the infusibility of platinum), and next comes palladium, which is the most fusible metal of the whole. it is a curious thing to see this fine association of physical properties coming out in metals which are grouped together somehow or other in nature, but, no doubt, by causes which are related to analogous properties in their situation on the surface of the earth, for it is in alluvial soils that these things are found. now, with regard to this substance, let me tell you briefly how we get it. the process used to be this. the ore which i shewed you just now was taken, and digested in nitro-muriatic acid of a certain strength, and partly converted into a solution, with the leaving behind of certain bodies that i have upon the table. the platinum being dissolved with care in acids, to the solution the muriate of ammonia was added, as i am about to add it here. a yellow precipitate was then thrown down, as you perceive is the case now; and this, carefully washed and cleansed, gave us that body [pointing to a specimen of the chloride of platinum and ammonium], the other elements, or nearly all, being ejected. this substance being heated, gave us what we call platinum sponge, or platinum in the metallic state, so finely divided as to form a kind of heavy mass or sponge, which, at the time that dr. wollaston first sent it forth, was not fusible for the market or in the manufacturers' workshops, inasmuch as the temperature required was so high, and there were no furnaces that could bring the mass into a globule, and cause the parts to adhere together. most of our metals that we obtain from nature, and work in our shops, are brought at last into a mass by fusion. i am not aware that there is in the arts or sciences any other than iron which is not so. soft iron we do not bring together by fusion, but by a process which is analogous to the one that was followed in the case of platinum, namely, welding; for these divided grains of spongy platinum having been well washed and sunk in water for the purpose of excluding air, and pressed together, and heated, and hammered, and pressed again, until they come into a pretty close, dense, compact mass, did so cohere, that when the mass was put into the furnace of charcoal, and raised to a high temperature, the particles, at first infinitely divided--for they were chemically divided--adhered the one to the other, each to all the rest, until they made that kind of substance which you see here, which will bear rolling and expansion of every kind. no other process than that has hitherto been adopted for the purpose of obtaining this substance from the particles by solution, precipitation, ignition, and welding. it certainly is a very fine thing to see that we may so fully depend upon the properties of the various substances we have to deal with; that we can, by carrying out our processes, obtain a material like this, allowing of division and extension under a rolling mill--a material of the finest possible kind, the parts being held together, not with interstices, not with porosity, but so continuous that no fluids can pass between them; and, as dr. wollaston beautifully shewed, a globule of platinum fused by the voltaic battery and the oxy-hydrogen blowpipe, when drawn into a wire, was not sounder or stronger than this wire made by the curious coalescence of the particles by the sticking power that they had at high temperatures. this is the process adopted by messrs. johnson and matthey, to whose great kindness i am indebted for these ingots and for the valuable assistance i have received in the illustrations. the treatment, however, that i have to bring before you is of another kind; and it is in the hope that we shall be able before long to have such a thing as the manufacture of platinum of this kind, that i am encouraged to come before you, and tell you how far deville has gone in the matter, and to give you illustrations of the principles on which he proceeds. i think it is but fair that you should see an experiment shewing you the way in which we get the adhesion of platinum. probably you all know of the welding of iron: you go into the smith's shop, and you see him put the handle of a poker on to the stem, and by a little management and the application of heat he makes them one. you have no doubt seen him put the iron into the fire and sprinkle a little sand upon it. he does not know the philosophy he calls into play when he sprinkles a little sand over the oxide of iron, but he has a fine philosophy there, or practises it, when he gets his welding. i can shew you here this beautiful circumstance of the sticking together of the particles up to the fullest possible intensity of their combination. if you were to go into the workshops of mr. matthey, and see them hammering and welding away, you would see the value of the experiment i am about to shew you. i have here some platinum-wire. this is a metal which resists the action of acids, resists oxidation by heat, and change of any sort; and which, therefore, i may heat in the atmosphere without any flux. i bend the wire so as to make the ends cross: these i make hot by means of the blowpipe, and then, by giving them a tap with a hammer, i shall make them into one piece. now that the pieces are united, i shall have great difficulty in pulling them apart, though they are joined only at the point where the two cylindrical surfaces came together. and now i have succeeded in pulling the wire apart, the division is not at the point of welding, but where the force of the pincers has cut it, so that the junction we have effected is a complete one. this, then, is the principle of the manufacture and production of platinum in the old way. the treatment which deville proposes to carry out, and which he has carried out to a rather large extent in reference to the russian supply of platinum, is one altogether by heat, having little or no reference to the use of acids. that you may know what the problem is, look at this table, which gives you the composition of such a piece of platinum ore as i shewed you just now. wherever it comes from, the composition is as complicated, though the proportions vary:-- platinum, . . . . . . iridium,. . . . . . . rhodium,. . . . . . . palladium,. . . . . . gold, . . . . . . . . copper, . . . . . . . iron, . . . . . . . . osmide of iridium,. . sand, . . . . . . . . ----- . this refers to the uralian ore. in that state of combination, as shewn in the table, the iridium and osmium are found combined in crystals, sometimes to the amount of . per cent., and sometimes or per cent. now, this deville proposes to deal with in the dry way, in the place of dealing with it by any acid. i have here another kind of platinum; and i shew it to you for this reason. the russian government, having large stores of platinum in their dominions, have obtained it in a metallic state, and worked it into coin. the coin i have in my hand is a twelve silver rouble piece. the rouble is worth three shillings, and this coin is, therefore, of the value of thirty-six shillings. the smaller coin is worth half that sum; and the other, half of that. the metal, however, is unfit for coinage. when you have the two metals, gold and silver, used for coinage, you have a little confusion in the value of the two in the market; but when you have three precious metals (for you may call platinum a precious metal) worked into coin, they will be sure to run counter to one another. indeed, the case did happen, that the price of platinum coin fixed by the government was such, that it was worth while to purchase platinum in other countries, and make coin of it, and then take it into that country and circulate it. the result was, that the russian government stopped the issue. the composition of this coin is--platinum, . ; iridium, . ; rhodium, . ; palladium, . ; a little copper, and a little iron. it is, in fact, bad platinum: it scales, and it has an unfitness for commercial use and in the laboratory, which the other well-purified platinum has not. it wants working over again. now, deville's process depends upon three points,--upon intense heat, blowpipe action, and the volatility of certain metals. we know that there are plenty of metals that are volatile; but this, i think, is the first time that it has been proposed to use the volatility of certain metals--such as gold and palladium--for the purpose of driving them off and leaving something else behind. he counts largely upon the volatility of metals which we have not been in the habit of considering volatile, but which we have rather looked upon as fixed; and i must endeavour to illustrate these three points by a few experiments. perhaps i can best show you what is required in the process of heating platinum by using that source of heat which we have here, and which seems to be almost illimitable--namely, the voltaic battery; for it is only in consequence of the heat that the voltaic battery affects the platinum. by applying the two extremities of the battery to this piece of platinum-wire, you will see what result we shall obtain. you perceive that we can take about this heating agent wherever we like, and deal with it as we please, limiting it in any way. i am obliged to deal carefully with it; but even that circumstance will have an interest for you in watching the experiment. contact is now made. the electric current, when compressed into thin conducting-wires offering resistance, evolves heat to a large extent; and this is the power by which we work. you see the intense glow immediately imparted to the wire; and if i applied the heat continuously, the effect of the current would be to melt the wire. as soon as the contact is broken, the wire resumes its former appearance; and now that we make contact again, you perceive the glow as before. [the experiment was repeated several times in rapid succession.] you can see a line of light, though you can scarcely perceive the wire; and now that it has melted with the great heat, if you examine it, you will perceive that it is indeed a set of irregularities from end to end--a set of little spheres, which are strung upon an axis of platinum running through it. it is that wire which mr. grove described as being produced at the moment when fusion of the whole mass is commencing. in the same manner, if i take a tolerably thick piece of platinum, and subject it to the heat that can be produced by this battery, you will see the brilliancy of the effect produced. i shall put on a pair of spectacles for the experiment, as there is an injurious effect of the voltaic spark upon the eyes, if the action is continued; and it is neither policy nor bravery to subject any organ to unnecessary danger; and i want, at all events, to keep the full use of my eyes to the end of the lecture. you now see the action of the heat upon the piece of platinum--heat so great as to break in pieces the plate on which the drops of metal fall. you perceive, then, that we have sufficiently powerful sources of heat in nature to deal with platinum. i have here an apparatus by which the same thing can be shewn. here is a piece of platinum, which is put into a crucible of carbon made at the end of one pole of the battery, and you will see the brilliant light that will be produced. there is our furnace, and the platinum is rapidly getting heated; and now you perceive that it is melted, and throwing off little particles. what a magnificent philosophical instrument this is. when you look at the result, which is lying upon the charcoal, you will see a beautifully fused piece of platinum. it is now a fiery globule, with a surface so bright, and smooth, and reflecting, that i cannot tell whether it is transparent, or opaque, or what. this, then, will give you an idea of what has to be done by any process that pretends to deal with thirty, or forty, or fifty pounds of platinum at once. let me now tell you briefly what deville proposes to do. first of all, he takes this ore, with its impurities, and mixes it (as he finds it essential and best) with its own weight of sulphuret of lead--lead combined with sulphur. both the lead and the sulphur are wanted; for the iron that is there present, as you see by the table, is one of the most annoying substances in the treatment that you can imagine, because it is not volatile; and while the iron remains adhering to the platinum, the platinum will not flow readily. it cannot be sent away by a high temperature--sent into the atmosphere so as to leave the platinum behind. well, then, a hundred parts of ore and a hundred parts of sulphuret of lead, with about fifty parts of metallic lead, being all mingled together in a crucible, the sulphur of the sulphuret takes the iron, the copper, and some of the other metals and impurities, and combines with them to form a slag; and as it goes on boiling and oxidising, it carries off the iron, and so a great cleansing takes place. now, you ought to know that these metals, such as platinum, iridium, and palladium, have a strong affinity for such metals as lead and tin, and upon this a great deal depends. very much depends upon the platinum throwing out its impurities of iron and so forth, by being taken up with the lead present in it. that you may have a notion of the great power that platinum has of combining with other metals, i will refer you to a little of the chemist's experience--his bad experience. he knows very well that if he takes a piece of platinum-foil, and heats a piece of lead upon it, or if he takes a piece of platinum-foil, such as we have here, and heats things upon it that have lead in them, his platinum is destroyed. i have here a piece of platinum, and if i apply the heat of the spirit-lamp to it, in consequence of the presence of this little piece of lead which i will place on it, i shall make a hole in the metal. the heat of the lamp itself would do no harm to the platinum, nor would other chemical means; but because there is a little lead present, and there is an affinity between the two substances, the bodies fuse together at once. you see the hole i have made. it is large enough to put your finger in, though the platinum itself was, as you saw, almost infusible, except by the voltaic battery. for the purpose of shewing this fact in a more striking manner, i have taken pieces of platinum-foil, tin-foil, and lead-foil, and rolled them together; and if i apply the blowpipe to them, you will have, in fact, a repetition on a larger scale of the experiment you saw just now when the lead and platinum came together, and one spoiled the other. when the metals are laid one upon the other, and folded together and heat applied, you will not only see that the platinum runs to waste, but that at the time when the platinum and lead are combined there is ignition produced--there is a power of sustaining combustion. i have taken a large piece, that you may see the phenomenon on a large scale. you saw the ignition and the explosion which followed, of which we have here the results--the consequence of the chemical affinity between the platinum and the metals combined with it, which is the thing upon which deville founds his first result. when he has melted these substances and stirred them well up, and so obtained a complete mixture, he throws in air upon the surface to burn off all the sulphur from the remaining sulphuret of lead; and at last he gets an ingot of lead with platinum--much lead, comparatively, and little platinum. he gets that in the crucible with a lot of scoriæ and other things, which he treats afterwards. it is that platiniferous lead which we have to deal with in our future process. now, let me tell you what he does with it. his first object is to get rid of the lead. he has thrown out all the iron, and a number of other things, and he has got this kind of compound indicated in the table. he may get it as high as per cent. of platinum, and of lead; or , or , or of platinum, and , or , or of lead (which he calls weak platinum), and he then places it in the kind of vessel that you see before you. suppose we had the mixture here; we should have to make it hot, and then throw in air upon the surface. the combustible metal--that is, the lead--and the part that will oxidise, are thoroughly oxidised; the litharge would flow out in a fused state into a vessel placed to receive it, and the platinum remains behind. [illustration: fig. .] here is the process which deville adopts for the purpose of casting off the lead, after he has got out the platinum from the ore. (having made use of your friend, you get rid of him as quickly as you can.) he gets his heat by applying the combination of oxygen and hydrogen, or of carburetted fuel, for the purpose of producing a fire. i have here a source of coal-gas; there i have a source of hydrogen; and here i have a source of oxygen. i have here also one of the blowpipes used by deville in his process for working platinum in the way i have spoken of. there are two pipes, and one of them goes to the source of coal-gas, and the other to the supply of oxygen. [illustration: fig. .] by uniting these we obtain a flame of such a heat as to melt platinum. you will, perhaps, hardly imagine what the heat is, unless you have some proof of it; but you will soon see that i have actually the power of melting platinum. here is a piece of platinum-foil running like wax under the flame which i am bringing to bear against it. the question, however, is whether we shall get heat enough to melt, not this small quantity, but large masses--many pounds of the metal. having obtained heat like this, the next consideration is what vessel is he to employ which could retain the platinum when so heated, or bear the effects of the flame? such vessels are happily well supplied at paris, and are formed of a substance which surrounds paris; it is a kind of chalk (called, i believe, by geologists, _calcaire grossière_), and it has the property of enduring an extreme degree of heat. i am now going to get the highest heat that we can obtain. first, i shew you the combustion of hydrogen by itself. i have not a large supply, because the coal-gas is sufficient for most of our purposes. if i put a piece of lime obtained from this chalk into the gas, you see we get a pretty hot flame, which would burn one's fingers a good deal but now let me subject a piece of it to the joint action of oxygen and hydrogen. i do this for the purpose of shewing you the value of lime as a material for the furnaces and chambers that are to contain the substances to be operated on, and that are consequently to sustain the action of this extreme heat. here we have the hydrogen and the oxygen, which will give the most intense heat that can be obtained by chemical action; and if i put a piece of lime into the flame, we get what is called the lime-light. now, with all the beauty and intensity of action which you perceive, there is no sensible deterioration of the lime except by the mechanical force of the current of gases rushing from the jet against the lime, sweeping away such particles as are not strongly aggregated. "vapour of lime" some call it; and it may be so, but there is no other change of the lime than that under the action of heat of this highly-exalted chemical condition, though almost any other substance would melt at once. then, as to the way in which the heat is applied to the substance. it is all very well for me to take a piece of antimony, and fuse it in the flame of a blowpipe. but if i tried this piece in the ordinary lamp flame, i should do nothing; if i tried a smaller piece, i should do little or nothing; and if i tried a still smaller piece, i should do little or nothing; yet i have a condition which will represent what deville carries to the highest possible extent, and which we all carry to the highest extent, in the use of the blowpipe. suppose i take this piece of antimony: i shall not be able to melt it in that flame of the candle by merely holding it there; yet, by taking pains, we can even melt a piece of platinum there. this is a preparation which i made for the purpose of proving the fusibility of platinum in a common candle. there is a piece of wire, drawn by that ingenious process of dr. wollaston's, not more than the three-thousandth part of an inch in diameter. he put the wire into the middle of a cylinder of silver, and drew both together until the whole compound was exceedingly thin; and then he dissolved away the silver by nitric acid. there was left in the centre a substance which i can scarcely see with an eye-glass, but which i know is there, and which i can make visible, as you see, by putting it into the candle, where the heat makes it glow like a spark. i have again and again tried this experiment up-stairs in my own room, and have easily fused this platinum-wire by a common candle. you see we have, therefore, heat enough in the candle, as in the voltaic battery, or in the highly-exalted combustion of the blowpipe, but we do not supply a continuous source of heat. in the very act of this becoming ignited, the heat radiates so fast that you cannot accumulate enough to cause the fusion of the wire, except under the most careful arrangement. thus i cannot melt that piece of antimony by simply putting it into the candle; but if i put it upon charcoal, and drive the fiery current against it, there will be heat enough to melt it. the beauty of the blowpipe is, that it sends hot air (making hot air by the combustion of the flame) against the thing to be heated. i have only to hold the antimony in the course of that current, and particle by particle of the current impinges upon the antimony, and so we get it melted. you now see it red-hot, and i have no doubt it will continue to burn if i withdraw it from the flame and continue to force the air on it. now, you see it burning without any heat but that of its own combustion, which i am keeping up by sending the air against it. it would go out in a moment if i took away the current of air from it; but there it is burning, and the more air i give it, by this or any other action, the better it is. so, then, we have here not merely a mighty source of heat, but a means of driving the heat forcibly against substances. let me shew you another experiment with a piece of iron. it will serve two purposes--shewing you what the blowpipe does as a source of heat, and what it does by sending that heat where it is wanted. i have taken iron in contrast with silver or other metals, that you may see the difference of action, and so be more interested in the experiment. here is our fuel, the coal-gas; and here our oxygen. having thus my power of heat, i apply it to the iron, which, as you see, soon gets red-hot. it is now flowing about like a globule of melted mercury. but observe, i cannot raise any vapour: it is now covered with a coat of melted oxide, and unless i have a great power in my blowpipe, it is hardly possible to break through it. now, then, you see these beautiful sparks: you have not only a beautiful kind of combustion, but you see the iron is being driven off, not producing smoke, but burning in a fixed condition. how different this is from the action of some other metals--that piece of antimony, for instance, which we saw just now throwing off abundance of fumes. we can, of course, burn away this iron by giving plenty of air to it; but with the bodies which deville wants to expose to this intense heat he has not that means: the gas itself must have power enough to drive off the slag which forms on the surface of the metal, and power to impinge upon the platinum so as to get the full contact that he wants for the fusion to take place. we see here, then, the means to which he resorts--oxygen, and either coal-gas or water-gas[ ], or pure hydrogen, for producing heat, and the blowpipe for the purpose of impelling the heated current upon the metals. i have two or three rough drawings here, representing the kind of furnaces which he employs. they are larger, however, than the actual furnaces he uses. even the furnace in which he carries on that most serious operation of fusing fifty pounds of platinum at once is not much more than half the size of the drawing. it is made of a piece of lime below and a piece of lime above. you see how beautifully lime sustains heat without altering in shape; and you may have thought how beautifully it prevents the dissipation of the heat by its very bad conducting powers. [illustration: fig. ] while the front part of the lime which you saw here was so highly ignited, i could at any moment touch the back of it without feeling any annoyance from the heat so, by having a chamber of lime of this sort, he is able to get a vessel to contain these metals with scarcely any loss of heat. he puts the blowpipes through these apertures, and sends down these gases upon the metals, which are gradually melted. he then puts in more metal through a hole at the top. the results of the combustion issue out of the aperture which you see represented. if there be strips of platinum, he pushes them through the mouth out of which the heated current is coming, and there they get red-hot and white-hot before they get into the bath of platinum. so he is able to fuse a large body of platinum in this manner. when the platinum is melted, he takes off the top and pours out from the bottom piece, like a crucible, and makes his cast. this is the furnace by which he fuses his forty pounds or fifty pounds of platinum at once. the metal is raised to a heat that no eye can bear. there is no light and shadow, no chiaro-oscuro there; all is the same intensity of glow. you look in, and you cannot see where the metal or the lime is; it is all as one. we have, therefore, a platform with a handle, which turns upon an axis, that coincides with the gutter that is formed for the pouring of the metal; and when all is known to be ready, by means of dark glasses, the workmen take off the top piece and lift up the handle, and the mould being then placed in a proper position, he knows that the issue of the metal will be exactly in the line of the axis. no injury has ever happened from the use of this plan. you know with what care it is necessary to carry such a vessel of mercury as we have here, for fear of turning it over on one side or the other; but if it be a vessel of melted platinum, the very greatest care must be used, because the substance is twice as heavy: yet no injury has been done to any of the workmen in this operation. i have said that deville depends upon intense heat for carrying off vapour; and this brings me to the point of shewing how vapours are carried off. here is a basin of mercury, which boils easily, as you know, and gives us the opportunity of observing the facts and principles which are to guide us. i have here two poles of the battery, and if i bring them into contact with the mercury, see what a development of vapour we have. the mercury is flying off rapidly; and i might, if i pleased, put all the company around me in a bath of mercury vapour. and so, if we take this piece of lead and treat it in the same way, it will also give off vapour. observe the fumes that rise from it; and even if it was so far enclosed from the air that you could not form any litharge, you would still have those abundant fumes flying off. i may also take a piece of gold, and shew you the same thing. i have here a piece of gold which i put upon a clean surface of paris limestone. applying the heat of the blowpipe to it, you see how the heat drives off the vapour; and if you notice at the end of the lecture, you will observe on the stone a purple patch of condensed gold. thus you see a proof of the volatilisation of gold. it is the same with silver. you will not be startled if i sometimes use one agent and sometimes another to illustrate a particular point. the volatility of gold and silver is the same thing, whether it be effected by the voltaic battery or by the blowpipe. [a lump of silver was placed in a charcoal crucible between the poles of a voltaic battery.] now, look at the fumes of silver, and observe the peculiar and beautiful green colour which they produce. we shall now shew you this same process of boiling the silver, cast on a screen from the electric lamp which you have before you; and while dr. tyndall is kindly getting the lamp ready for this purpose, let me tell you that deville proposes to throw out in this way all these extraneous things that i have spoken of, except two--namely, iridium and rhodium. it so happens, as he says, that iridium and rhodium do make the metal more capable of resisting the attacks of acids than platinum itself. alloys are compounded up to per cent. of rhodium and iridium, by which the chemical inaction of the platinum is increased, and also its malleability and other physical properties. [the image of the voltaic discharge through vapour of silver was now thrown upon the screen.] what you have now on the screen is an inverted image of what you saw when we heated the silver before. the fine stream that you see around the silver is the discharge of the electric force that takes place, giving you that glorious green light which you see in the ray; and if dr. tyndall will open the top of the lamp, you will see the quantity of fumes that will come out of the aperture, shewing you at once the volatility of silver. i have now finished this imperfect account. it is but an apology for not having brought the process itself before you. i have done the best i could under the circumstances; and i know your kindness well, for if i were not aware that i might trust to it, i would not appear here so often as i have done. the gradual loss of memory and of my other faculties is making itself painfully evident to me, and requires, every time i appear before you, the continued remembrance of your kindness to enable me to get through my task. if i should happen to go on too long, or should fail in doing what you might desire, remember it is yourselves who are chargeable, by wishing me to remain. i have desired to retire, as i think every man ought to do before his faculties become impaired; but i must confess that the affection i have for this place, and for those who frequent this place, is such, that i hardly know when the proper time has arrived. notes. [footnote : page . the royal george sunk at spithead on the th of august, . colonel pasley commenced operations for the removal of the wreck by the explosion of gunpowder, in august, . the candle which professor faraday exhibited must therefore have been exposed to the action of salt water for upwards of fifty-seven years.] [footnote : page . the fat or tallow consists of a chemical combination of fatty acids with glycerine. the lime unites with the palmitic, oleic, and stearic acids, and separates the glycerine. after washing, the insoluble lime soap is decomposed with hot dilute sulphuric acid. the melted fatty acids thus rise as an oil to the surface, when they are decanted. they are again washed and cast into thin plates, which, when cold, are placed between layers of cocoa-nut matting, and submitted to intense hydraulic pressure. in this way the soft oleic acid is squeezed out, whilst the hard palmitic and stearic acids remain. these are further purified by pressure at a higher temperature, and washing in warm dilute sulphuric acid, when they are ready to be made into candles. these acids are harder and whiter than the fats from which they were obtained, whilst at the same time they are cleaner and more combustible.] [footnote : page . a little borax or phosphorus salt is sometimes added, in order to make the ash fusible.] [footnote : page . capillary attraction or repulsion is the cause which determines the ascent or descent of a fluid in a capillary tube. if a piece of thermometer tubing, open at each end, be plunged into water, the latter will instantly rise in the tube considerably above its external level. if, on the other hand, the tube be plunged into mercury, a repulsion instead of attraction will be exhibited, and the level of the mercury will be lower in the tube than it is outside.] [footnote : page . the late duke of sussex was, we believe, the first to shew that a prawn might be washed upon this principle. if the tail, after pulling off the fan part, be placed in a tumbler of water, and the head be allowed to hang over the outside, the water will be sucked up the tail by capillary attraction, and will continue to run out through the head until the water in the glass has sunk so low that the tail ceases to dip into it.] [footnote : page . the alcohol had chloride of copper dissolved in it: this produces a beautiful green flame.] [footnote : page . lycopodium is a yellowish powder found in the fruit of the club moss (_lycopodium clavatum_). it is used in fireworks.] [footnote : page . bunsen has calculated that the temperature of the oxyhydrogen blowpipe is ° centigrade. hydrogen burning in air has a temperature of ° c., and coal-gas in air, ° c.] [footnote : page . the following is the action of the sulphuric acid in inflaming the mixture of sulphuret of antimony and chlorate of potassa. a portion of the latter is decomposed by the sulphuric acid into oxide of chlorine, bisulphate of potassa, and perchlorate of potassa. the oxide of chlorine inflames the sulphuret of antimony, which is a combustible body, and the whole mass instantly bursts into flame.] [footnote : page . the "air-burner," which is of such value in the laboratory, owes its advantage to this principle. it consists of a cylindrical metal chimney, covered at the top with a piece of rather coarse iron-wire gauze. this is supported over an argand burner, in such a manner that the gas may mix in the chimney with an amount of air sufficient to burn the carbon and hydrogen simultaneously, so that there may be no separation of carbon in the flame with consequent deposition of soot. the flame, being unable to pass through the wire gauze, burns in a steady, nearly invisible manner above.] [footnote : page . water is in its densest state at a temperature of . ° fahrenheit] [footnote : page . a mixture of salt and pounded ice reduces the temperature from ° f. to zero--the ice at the same time becoming fluid.] [footnote : page . potassium, the metallic basis of potash, was discovered by sir humphrey davy in , who succeeded in separating it from potash by means of a powerful voltaic battery. its great affinity for oxygen causes it to decompose water with evolution of hydrogen, which takes fire with the heat produced.] [footnote : page . professor faraday has calculated that there is as much electricity required to decompose one grain of water as there is in a very powerful flash of lightning.] [footnote : page . a solution of acetate of lead submitted to the action of the voltaic current, yields lead at the negative pole, and brown peroxide of lead at the positive pole. a solution of nitrate of silver, under the same circumstances, yields silver at the negative pole, and peroxide of silver at the positive pole.] [footnote : page . the gas which is thus employed as a test for the presence of oxygen, is the binoxide of nitrogen, or nitrous oxide. it is a colourless gas, which, when brought in contact with oxygen, unites with it, forming hyponitric acid, the red gas referred to.] [footnote : page . _marble_ is a compound of carbonic acid and lime. the muriatic acid being the stronger of the two, takes the place of the carbonic acid, which escapes as a gas, the residue forming muriate of lime or chloride of calcium.] [footnote : page . _lead pyrophorus_ is made by heating dry tartrate of lead in a glass tube (closed at one end, and drawn out to a fine point at the other) until no more vapours are evolved. the open end of the tube is then to be sealed before the blowpipe. when the tube is broken and the contents shaken out into the air, they burn with a red flash.] [footnote : page . _water-gas_ is formed by passing vapour of water over red-hot charcoal or coke. it is a mixture of hydrogen and carbonic oxide; each of which is an inflammable gas.] poster's note: "combustion that makes!" was corrected from a misprint "combusion that makes!" in the original. none none note: project gutenberg also has an html version of this file which includes the original illustrations. see -h.htm or -h.zip: (http://www.gutenberg.net/dirs/ / / / / / -h/ -h.htm) or (http://www.gutenberg.net/dirs/ / / / / / -h.zip) transcriber's notes: underscores before and after words denote italics. underscore and {} denote subscripts. footnotes moved to end of book. the book starts using the word "chapter" only after its chapter number xi. i have left it the same in this text. the century books of useful science creative chemistry descriptive of recent achievements in the chemical industries by edwin e. slosson, m.s., ph.d. literary editor of _the independent_, associate in columbia school of journalism author of "great american universities," "major prophets of today," "six major prophets," "on acylhalogenamine derivatives and the beckmann rearrangement," "composition of wyoming petroleum," etc. with many illustrations [illustration (decorative)] new york the century co. copyright, , by the century co. copyright, , , , by the independent corporation published, october, [illustration: from "america's munitions" the production of new and stronger forms of steel is one of the greatest triumphs of modern chemistry the photograph shows the manufacture of a -inch gun at the plant of the midvale steel company during the late war. the gun tube, feet long, has just been drawn from the furnace where it was tempered at white heat and is now ready for quenching.] to my first teacher professor e.h.s. bailey of the university of kansas and my last teacher professor julius stieglitz of the university of chicago this volume is gratefully dedicated contents i three periods of progress ii nitrogen iii feeding the soil iv coal-tar colors v synthetic perfumes and flavors vi cellulose vii synthetic plastics viii the race for rubber ix the rival sugars x what comes from corn xi solidified sunshine xii fighting with fumes xiii products of the electric furnace xiv metals, old and new reading references index a card of thanks this book originated in a series of articles prepared for _the independent_ in - for the purpose of interesting the general reader in the recent achievements of industrial chemistry and providing supplementary reading for students of chemistry in colleges and high schools. i am indebted to hamilton holt, editor of _the independent_, and to karl v.s. howland, its publisher, for stimulus and opportunity to undertake the writing of these pages and for the privilege of reprinting them in this form. in gathering the material for this volume i have received the kindly aid of so many companies and individuals that it is impossible to thank them all but i must at least mention as those to whom i am especially grateful for information, advice and criticism: thomas h. norton of the department of commerce; dr. bernhard c. hesse; h.s. bailey of the department of agriculture; professor julius stieglitz of the university of chicago; l.e. edgar of the du pont de nemours company; milton whitney of the u.s. bureau of soils; dr. h.n. mccoy; k.f. kellerman of the bureau of plant industry. e.e.s. list of illustrations the production of new and stronger forms of steel is one of the greatest triumphs of modern chemistry _frontispiece_ facing page the hand grenades contain potential chemical energy capable of causing a vast amount of destruction when released women in a munition plant engaged in the manufacture of tri-nitro-toluol a chemical reaction on a large scale burning air in a birkeland-eyde furnace at the dupont plant a battery of birkeland-eyde furnaces for the fixation of nitrogen at the dupont plant fixing nitrogen by calcium carbide a barrow full of potash salts extracted from six tons of green kelp by the government chemists nature's silent method of nitrogen fixation in order to secure a new supply of potash salts the united states government set up an experimental plant at sutherland, california, for utilization of kelp overhead suction at the san diego wharf pumping kelp from the barge to the digestion tanks the kelp harvester gathering the seaweed from the pacific ocean a battery of koppers by-product coke-ovens at the plant of the bethlehem steel company, sparrows point, maryland in these mixing vats at the buffalo works, aniline dyes are prepared a paper mill in action cellulose from wood pulp is now made into a large variety of useful articles of which a few examples are here pictured plantation rubber forest rubber in making garden hose the rubber is formed into a tube by the machine on the right and coiled on the table to the left the rival sugars interior of a sugar mill showing the machinery for crushing cane to extract the juice vacuum pans of the american sugar refinery company cotton seed oil as it is squeezed from the seed by the presses cotton seed oil as it comes from the compressors flowing out of the faucets splitting coconuts on the island of tahiti the electric current passing through salt water in these cells decomposes the salt into caustic soda and chlorine gas germans starting a gas attack on the russian lines filling the cannisters of gas masks with charcoal made from fruit pits--long island city the chlorpicrin plant at the bdgewood arsenal repairing the broken stern post of the _u.s.s. northern pacific_, the biggest marine weld in the world making aloxite in the electric furnaces by fusing coke and bauxite a block of carborundum crystals making carborundum in the electric furnace types of gas mask used by america, the allies and germany during the war pumping melted white phosphorus into hand grenades filled with water--edgewood arsenal filling shell with "mustard gas" photomicrographs showing the structure of steel made by professor e.g. mahin of purdue university the microscopic structure of metals introduction by julius stieglitz formerly president of the american chemical society, professor of chemistry in the university of chicago the recent war as never before in the history of the world brought to the nations of the earth a realization of the vital place which the science of chemistry holds in the development of the resources of a nation. some of the most picturesque features of this awakening reached the great public through the press. thus, the adventurous trips of the _deutschland_ with its cargoes of concentrated aniline dyes, valued at millions of dollars, emphasized as no other incident our former dependence upon germany for these products of her chemical industries. the public read, too, that her chemists saved germany from an early disastrous defeat, both in the field of military operations and in the matter of economic supplies: unquestionably, without the tremendous expansion of her plants for the production of nitrates and ammonia from the air by the processes of haber, ostwald and others of her great chemists, the war would have ended in , or early in , from exhaustion of germany's supplies of nitrate explosives, if not indeed from exhaustion of her food supplies as a consequence of the lack of nitrate and ammonia fertilizer for her fields. inventions of substitutes for cotton, copper, rubber, wool and many other basic needs have been reported. these feats of chemistry, performed under the stress of dire necessity, have, no doubt, excited the wonder and interest of our public. it is far more important at this time, however, when both for war and for peace needs, the resources of our country are strained to the utmost, that the public should awaken to a clear realization of what this science of chemistry really means for mankind, to the realization that its wizardry permeates the whole life of the nation as a vitalizing, protective and constructive agent very much in the same way as our blood, coursing through our veins and arteries, carries the constructive, defensive and life-bringing materials to every organ in the body. if the layman will but understand that chemistry is the fundamental _science of the transformation of matter_, he will readily accept the validity of this sweeping assertion: he will realize, for instance, why exactly the same fundamental laws of the science apply to, and make possible scientific control of, such widely divergent national industries as agriculture and steel manufacturing. it governs the transformation of the salts, minerals and humus of our fields and the components of the air into corn, wheat, cotton and the innumerable other products of the soil; it governs no less the transformation of crude ores into steel and alloys, which, with the cunning born of chemical knowledge, may be given practically any conceivable quality of hardness, elasticity, toughness or strength. and exactly the same thing may be said of the hundreds of national activities that lie between the two extremes of agriculture and steel manufacture! moreover, the domain of the science of the transformation of matter includes even life itself as its loftiest phase: from our birth to our return to dust the laws of chemistry are the controlling laws of life, health, disease and death, and the ever clearer recognition of this relation is the strongest force that is raising medicine from the uncertain realm of an art to the safer sphere of an exact science. to many scientific minds it has even become evident that those most wonderful facts of life, heredity and character, must find their final explanation in the chemical composition of the components of life producing, germinal protoplasm: mere form and shape are no longer supreme but are relegated to their proper place as the housing only of the living matter which functions chemically. it must be quite obvious now why thoughtful men are insisting that the public should be awakened to a broad realization of the significance of the science of chemistry for its national life. it is a difficult science in its details, because it has found that it can best interpret the visible phenomena of the material world on the basis of the conception of invisible minute material atoms and molecules, each a world in itself, whose properties may be nevertheless accurately deduced by a rigorous logic controlling the highest type of scientific imagination. but a layman is interested in the wonders of great bridges and of monumental buildings without feeling the need of inquiring into the painfully minute and extended calculations of the engineer and architect of the strains and stresses to which every pin and every bar of the great bridge and every bit of stone, every foot of arch in a monumental edifice, will be exposed. so the public may understand and appreciate with the keenest interest the results of chemical effort without the need of instruction in the intricacies of our logic, of our dealings with our minute, invisible particles. the whole nation's welfare demands, indeed, that our public be enlightened in the matter of the relation of chemistry to our national life. thus, if our commerce and our industries are to survive the terrific competition that must follow the reëstablishment of peace, our public must insist that its representatives in congress preserve that independence in chemical manufacturing which the war has forced upon us in the matter of dyes, of numberless invaluable remedies to cure and relieve suffering; in the matter, too, of hundreds of chemicals, which our industries need for their successful existence. unless we are independent in these fields, how easily might an unscrupulous competing nation do us untold harm by the mere device, for instance, of delaying supplies, or by sending inferior materials to this country or by underselling our chemical manufacturers and, after the destruction of our chemical independence, handicapping our industries as they were in the first year or two of the great war! this is not a mere possibility created by the imagination, for our economic history contains instance after instance of the purposeful undermining and destruction of our industries in finer chemicals, dyes and drugs by foreign interests bent on preserving their monopoly. if one recalls that through control, for instance, of dyes by a competing nation, control is in fact also established over products, valued in the hundreds of millions of dollars, in which dyes enter as an essential factor, one may realize indeed the tremendous industrial and commercial power which is controlled by the single lever--chemical dyes. of even more vital moment is chemistry in the domain of health: the pitiful calls of our hospitals for local anesthetics to alleviate suffering on the operating table, the frantic appeals for the hypnotic that soothes the epileptic and staves off his seizure, the almost furious demands for remedy after remedy, that came in the early years of the war, are still ringing in the hearts of many of us. no wonder that our small army of chemists is grimly determined not to give up the independence in chemistry which war has achieved for us! only a widely enlightened public, however, can insure the permanence of what farseeing men have started to accomplish in developing the power of chemistry through research in every domain which chemistry touches. the general public should realize that in the support of great chemical research laboratories of universities and technical schools it will be sustaining important centers from which the science which improves products, abolishes waste, establishes new industries and preserves life, may reach out helpfully into all the activities of our great nation, that are dependent on the transformation of matter. the public is to be congratulated upon the fact that the writer of the present volume is better qualified than any other man in the country to bring home to his readers some of the great results of modern chemical activity as well as some of the big problems which must continue to engage the attention of our chemists. dr. slosson has indeed the unique quality of combining an exact and intimate knowledge of chemistry with the exquisite clarity and pointedness of expression of a born writer. we have here an exposition by a master mind, an exposition shorn of the terrifying and obscuring technicalities of the lecture room, that will be as absorbing reading as any thrilling romance. for the story of scientific achievement is the greatest epic the world has ever known, and like the great national epics of bygone ages, should quicken the life of the nation by a realization of its powers and a picture of its possibilities. creative chemistry la chimie posséde cette faculté créatrice à un degré plus éminent que les autres sciences, parce qu'elle pénètre plus profondément et atteint jusqu'aux éléments naturels des êtres. --_berthelot_. i three periods of progress the story of robinson crusoe is an allegory of human history. man is a castaway upon a desert planet, isolated from other inhabited worlds--if there be any such--by millions of miles of untraversable space. he is absolutely dependent upon his own exertions, for this world of his, as wells says, has no imports except meteorites and no exports of any kind. man has no wrecked ship from a former civilization to draw upon for tools and weapons, but must utilize as best he may such raw materials as he can find. in this conquest of nature by man there are three stages distinguishable: . the appropriative period . the adaptive period . the creative period these eras overlap, and the human race, or rather its vanguard, civilized man, may be passing into the third stage in one field of human endeavor while still lingering in the second or first in some other respect. but in any particular line this sequence is followed. the primitive man picks up whatever he can find available for his use. his successor in the next stage of culture shapes and develops this crude instrument until it becomes more suitable for his purpose. but in the course of time man often finds that he can make something new which is better than anything in nature or naturally produced. the savage discovers. the barbarian improves. the civilized man invents. the first finds. the second fashions. the third fabricates. the primitive man was a troglodyte. he sought shelter in any cave or crevice that he could find. later he dug it out to make it more roomy and piled up stones at the entrance to keep out the wild beasts. this artificial barricade, this false façade, was gradually extended and solidified until finally man could build a cave for himself anywhere in the open field from stones he quarried out of the hill. but man was not content with such materials and now puts up a building which may be composed of steel, brick, terra cotta, glass, concrete and plaster, none of which materials are to be found in nature. the untutored savage might cross a stream astride a floating tree trunk. by and by it occurred to him to sit inside the log instead of on it, so he hollowed it out with fire or flint. later, much later, he constructed an ocean liner. cain, or whoever it was first slew his brother man, made use of a stone or stick. afterward it was found a better weapon could be made by tying the stone to the end of the stick, and as murder developed into a fine art the stick was converted into the bow and this into the catapult and finally into the cannon, while the stone was developed into the high explosive projectile. the first music to soothe the savage breast was the soughing of the wind through the trees. then strings were stretched across a crevice for the wind to play upon and there was the Æolian harp. the second stage was entered when hermes strung the tortoise shell and plucked it with his fingers and when athena, raising the wind from her own lungs, forced it through a hollow reed. from these beginnings we have the organ and the orchestra, producing such sounds as nothing in nature can equal. the first idol was doubtless a meteorite fallen from heaven or a fulgurite or concretion picked up from the sand, bearing some slight resemblance to a human being. later man made gods in his own image, and so sculpture and painting grew until now the creations of futuristic art could be worshiped--if one wanted to--without violation of the second commandment, for they are not the likeness of anything that is in heaven above or that is in the earth beneath or that is in the water under the earth. in the textile industry the same development is observable. the primitive man used the skins of animals he had slain to protect his own skin. in the course of time he--or more probably his wife, for it is to the women rather than to the men that we owe the early steps in the arts and sciences--fastened leaves together or pounded out bark to make garments. later fibers were plucked from the sheepskin, the cocoon and the cotton-ball, twisted together and woven into cloth. nowadays it is possible to make a complete suit of clothes, from hat to shoes, of any desirable texture, form and color, and not include any substance to be found in nature. the first metals available were those found free in nature such as gold and copper. in a later age it was found possible to extract iron from its ores and today we have artificial alloys made of multifarious combinations of rare metals. the medicine man dosed his patients with decoctions of such roots and herbs as had a bad taste or queer look. the pharmacist discovered how to extract from these their medicinal principle such as morphine, quinine and cocaine, and the creative chemist has discovered how to make innumerable drugs adapted to specific diseases and individual idiosyncrasies. in the later or creative stages we enter the domain of chemistry, for it is the chemist alone who possesses the power of reducing a substance to its constituent atoms and from them producing substances entirely new. but the chemist has been slow to realize his unique power and the world has been still slower to utilize his invaluable services. until recently indeed the leaders of chemical science expressly disclaimed what should have been their proudest boast. the french chemist lavoisier in defined chemistry as "the science of analysis." the german chemist gerhardt in said: "i have demonstrated that the chemist works in opposition to living nature, that he burns, destroys, analyzes, that the vital force alone operates by synthesis, that it reconstructs the edifice torn down by the chemical forces." it is quite true that chemists up to the middle of the last century were so absorbed in the destructive side of their science that they were blind to the constructive side of it. in this respect they were less prescient than their contemned predecessors, the alchemists, who, foolish and pretentious as they were, aspired at least to the formation of something new. it was, i think, the french chemist berthelot who first clearly perceived the double aspect of chemistry, for he defined it as "the science of analysis _and synthesis_," of taking apart and of putting together. the motto of chemistry, as of all the empirical sciences, is _savoir c'est pouvoir_, to know in order to do. this is the pragmatic test of all useful knowledge. berthelot goes on to say: chemistry creates its object. this creative faculty, comparable to that of art itself, distinguishes it essentially from the natural and historical sciences.... these sciences do not control their object. thus they are too often condemned to an eternal impotence in the search for truth of which they must content themselves with possessing some few and often uncertain fragments. on the contrary, the experimental sciences have the power to realize their conjectures.... what they dream of that they can manifest in actuality.... chemistry possesses this creative faculty to a more eminent degree than the other sciences because it penetrates more profoundly and attains even to the natural elements of existences. since berthelot's time, that is, within the last fifty years, chemistry has won its chief triumphs in the field of synthesis. organic chemistry, that is, the chemistry of the carbon compounds, so called because it was formerly assumed, as gerhardt says, that they could only be formed by "vital force" of organized plants and animals, has taken a development far overshadowing inorganic chemistry, or the chemistry of mineral substances. chemists have prepared or know how to prepare hundreds of thousands of such "organic compounds," few of which occur in the natural world. but this conception of chemistry is yet far from having been accepted by the world at large. this was brought forcibly to my attention during the publication of these chapters in "the independent" by various letters, raising such objections as the following: when you say in your article on "what comes from coal tar" that "art can go ahead of nature in the dyestuff business" you have doubtless for the moment allowed your enthusiasm to sweep you away from the moorings of reason. shakespeare, anticipating you and your "creative chemistry," has shown the utter untenableness of your position: nature is made better by no mean, but nature makes that mean: so o'er that art, which, you say, adds to nature, is an art that nature makes. how can you say that art surpasses nature when you know very well that nothing man is able to make can in any way equal the perfection of all nature's products? it is blasphemous of you to claim that man can improve the works of god as they appear in nature. only the creator can create. man only imitates, destroys or defiles god's handiwork. no, it was not in momentary absence of mind that i claimed that man could improve upon nature in the making of dyes. i not only said it, but i proved it. i not only proved it, but i can back it up. i will give a million dollars to anybody finding in nature dyestuffs as numerous, varied, brilliant, pure and cheap as those that are manufactured in the laboratory. i haven't that amount of money with me at the moment, but the dyers would be glad to put it up for the discovery of a satisfactory natural source for their tinctorial materials. this is not an opinion of mine but a matter of fact, not to be decided by shakespeare, who was not acquainted with the aniline products. shakespeare in the passage quoted is indulging in his favorite amusement of a play upon words. there is a possible and a proper sense of the word "nature" that makes it include everything except the supernatural. therefore man and all his works belong to the realm of nature. a tenement house in this sense is as "natural" as a bird's nest, a peapod or a crystal. but such a wide extension of the term destroys its distinctive value. it is more convenient and quite as correct to use "nature" as i have used it, in contradistinction to "art," meaning by the former the products of the mineral, vegetable and animal kingdoms, excluding the designs, inventions and constructions of man which we call "art." we cannot, in a general and abstract fashion, say which is superior, art or nature, because it all depends on the point of view. the worm loves a rotten log into which he can bore. man prefers a steel cabinet into which the worm cannot bore. if man cannot improve upon nature he has no motive for making anything. artificial products are therefore superior to natural products as measured by man's convenience, otherwise they would have no reason for existence. science and christianity are at one in abhorring the natural man and calling upon the civilized man to fight and subdue him. the conquest of nature, not the imitation of nature, is the whole duty of man. metchnikoff and st. paul unite in criticizing the body we were born with. st. augustine and huxley are in agreement as to the eternal conflict between man and nature. in his romanes lecture on "evolution and ethics" huxley said: "the ethical progress of society depends, not on imitating the cosmic process, still less on running away from it, but on combating it," and again: "the history of civilization details the steps by which man has succeeded in building up an artificial world within the cosmos." there speaks the true evolutionist, whose one desire is to get away from nature as fast and far as possible. imitate nature? yes, when we cannot improve upon her. admire nature? possibly, but be not blinded to her defects. learn from nature? we should sit humbly at her feet until we can stand erect and go our own way. love nature? never! she is our treacherous and unsleeping foe, ever to be feared and watched and circumvented, for at any moment and in spite of all our vigilance she may wipe out the human race by famine, pestilence or earthquake and within a few centuries obliterate every trace of its achievement. the wild beasts that man has kept at bay for a few centuries will in the end invade his palaces: the moss will envelop his walls and the lichen disrupt them. the clam may survive man by as many millennia as it preceded him. in the ultimate devolution of the world animal life will disappear before vegetable, the higher plants will be killed off before the lower, and finally the three kingdoms of nature will be reduced to one, the mineral. civilized man, enthroned in his citadel and defended by all the forces of nature that he has brought under his control, is after all in the same situation as a savage, shivering in the darkness beside his fire, listening to the pad of predatory feet, the rustle of serpents and the cry of birds of prey, knowing that only the fire keeps his enemies off, but knowing too that every stick he lays on the fire lessens his fuel supply and hastens the inevitable time when the beasts of the jungle will make their fatal rush. chaos is the "natural" state of the universe. cosmos is the rare and temporary exception. of all the million spheres this is apparently the only one habitable and of this only a small part--the reader may draw the boundaries to suit himself--can be called civilized. anarchy is the natural state of the human race. it prevailed exclusively all over the world up to some five thousand years ago, since which a few peoples have for a time succeeded in establishing a certain degree of peace and order. this, however, can be maintained only by strenuous and persistent efforts, for society tends naturally to sink into the chaos out of which it has arisen. it is only by overcoming nature that man can rise. the sole salvation for the human race lies in the removal of the primal curse, the sentence of hard labor for life that was imposed on man as he left paradise. some folks are trying to elevate the laboring classes; some are trying to keep them down. the scientist has a more radical remedy; he wants to annihilate the laboring classes by abolishing labor. there is no longer any need for human labor in the sense of personal toil, for the physical energy necessary to accomplish all kinds of work may be obtained from external sources and it can be directed and controlled without extreme exertion. man's first effort in this direction was to throw part of his burden upon the horse and ox or upon other men. but within the last century it has been discovered that neither human nor animal servitude is necessary to give man leisure for the higher life, for by means of the machine he can do the work of giants without exhaustion. but the introduction of machines, like every other step of human progress, met with the most violent opposition from those it was to benefit. "smash 'em!" cried the workingman. "smash 'em!" cried the poet. "smash 'em!" cried the artist. "smash 'em!" cried the theologian. "smash 'em!" cried the magistrate. this opposition yet lingers and every new invention, especially in chemistry, is greeted with general distrust and often with legislative prohibition. man is the tool-using animal, and the machine, that is, the power-driven tool, is his peculiar achievement. it is purely a creation of the human mind. the wheel, its essential feature, does not exist in nature. the lever, with its to-and-fro motion, we find in the limbs of all animals, but the continuous and revolving lever, the wheel, cannot be formed of bone and flesh. man as a motive power is a poor thing. he can only convert three or four thousand calories of energy a day and he does that very inefficiently. but he can make an engine that will handle a hundred thousand times that, twice as efficiently and three times as long. in this way only can he get rid of pain and toil and gain the wealth he wants. gradually then he will substitute for the natural world an artificial world, molded nearer to his heart's desire. man the artifex will ultimately master nature and reign supreme over his own creation until chaos shall come again. in the ancient drama it was _deus ex machina_ that came in at the end to solve the problems of the play. it is to the same supernatural agency, the divinity in machinery, that we must look for the salvation of society. it is by means of applied science that the earth can be made habitable and a decent human life made possible. creative evolution is at last becoming conscious. ii nitrogen preserver and destroyer of life in the eyes of the chemist the great war was essentially a series of explosive reactions resulting in the liberation of nitrogen. nothing like it has been seen in any previous wars. the first battles were fought with cellulose, mostly in the form of clubs. the next were fought with silica, mostly in the form of flint arrowheads and spear-points. then came the metals, bronze to begin with and later iron. the nitrogenous era in warfare began when friar roger bacon or friar schwartz--whichever it was--ground together in his mortar saltpeter, charcoal and sulfur. the chinese, to be sure, had invented gunpowder long before, but they--poor innocents--did not know of anything worse to do with it than to make it into fire-crackers. with the introduction of "villainous saltpeter" war ceased to be the vocation of the nobleman and since the nobleman had no other vocation he began to become extinct. a bullet fired from a mile away is no respecter of persons. it is just as likely to kill a knight as a peasant, and a brave man as a coward. you cannot fence with a cannon ball nor overawe it with a plumed hat. the only thing you can do is to hide and shoot back. now you cannot hide if you send up a column of smoke by day and a pillar of fire by night--the most conspicuous of signals--every time you shoot. so the next step was the invention of a smokeless powder. in this the oxygen necessary for the combustion is already in such close combination with its fuel, the carbon and hydrogen, that no black particles of carbon can get away unburnt. in the old-fashioned gunpowder the oxygen necessary for the combustion of the carbon and sulfur was in a separate package, in the molecule of potassium nitrate, and however finely the mixture was ground, some of the atoms, in the excitement of the explosion, failed to find their proper partners at the moment of dispersal. the new gunpowder besides being smokeless is ashless. there is no black sticky mass of potassium salts left to foul the gun barrel. the gunpowder period of warfare was actively initiated at the battle of cressy, in which, as a contemporary historian says, "the english guns made noise like thunder and caused much loss in men and horses." smokeless powder as invented by paul vieille was adopted by the french government in . this, then, might be called the beginning of the guncotton or nitrocellulose period--or, perhaps in deference to the caveman's club, the second cellulose period of human warfare. better, doubtless, to call it the "high explosive period," for various other nitro-compounds besides guncotton are being used. the important thing to note is that all the explosives from gunpowder down contain nitrogen as the essential element. it is customary to call nitrogen "an inert element" because it was hard to get it into combination with other elements. it might, on the other hand, be looked upon as an active element because it acts so energetically in getting out of its compounds. we can dodge the question by saying that nitrogen is a most unreliable and unsociable element. like kipling's cat it walks by its wild lone. it is not so bad as argon the lazy and the other celibate gases of that family, where each individual atom goes off by itself and absolutely refuses to unite even temporarily with any other atom. the nitrogen atoms will pair off with each other and stick together, but they are reluctant to associate with other elements and when they do the combination is likely to break up any moment. you all know people like that, good enough when by themselves but sure to break up any club, church or society they get into. now, the value of nitrogen in warfare is due to the fact that all the atoms desert in a body on the field of battle. millions of them may be lying packed in a gun cartridge, as quiet as you please, but let a little disturbance start in the neighborhood--say a grain of mercury fulminate flares up--and all the nitrogen atoms get to trembling so violently that they cannot be restrained. the shock spreads rapidly through the whole mass. the hydrogen and carbon atoms catch up the oxygen and in an instant they are off on a stampede, crowding in every direction to find an exit, and getting more heated up all the time. the only movable side is the cannon ball in front, so they all pound against that and give it such a shove that it goes ten miles before it stops. the external bombardment by the cannon ball is, therefore, preceded by an internal bombardment on the cannon ball by the molecules of the hot gases, whose speed is about as great as the speed of the projectile that they propel. [illustration: © underwood & underwood the hand grenades which these women are boring will contain potential chemical energy capable of causing a vast amount of destruction when released. during the war the american government placed orders for , , such grenades as are here shown.] [illustration: © international film service, inc. women in a munition plant engaged in the manufacture of tri-nitro-toluol, the most important of modern high explosives] the active agent in all these explosives is the nitrogen atom in combination with two oxygen atoms, which the chemist calls the "nitro group" and which he represents by no_{ }. this group was, as i have said, originally used in the form of saltpeter or potassium nitrate, but since the chemist did not want the potassium part of it--for it fouled his guns--he took the nitro group out of the nitrate by means of sulfuric acid and by the same means hooked it on to some compound of carbon and hydrogen that would burn without leaving any residue, and give nothing but gases. one of the simplest of these hydrocarbon derivatives is glycerin, the same as you use for sunburn. this mixed with nitric and sulfuric acids gives nitroglycerin, an easy thing to make, though i should not advise anybody to try making it unless he has his life insured. but nitroglycerin is uncertain stuff to keep and being a liquid is awkward to handle. so it was mixed with sawdust or porous earth or something else that would soak it up. this molded into sticks is our ordinary dynamite. if instead of glycerin we take cellulose in the form of wood pulp or cotton and treat this with nitric acid in the presence of sulfuric we get nitrocellulose or guncotton, which is the chief ingredient of smokeless powder. now guncotton looks like common cotton. it is too light and loose to pack well into a gun. so it is dissolved with ether and alcohol or acetone to make a plastic mass that can be molded into rods and cut into grains of suitable shape and size to burn at the proper speed. here, then, we have a liquid explosive, nitroglycerin, that has to be soaked up in some porous solid, and a porous solid, guncotton, that has to soak up some liquid. why not solve both difficulties together by dissolving the guncotton in the nitroglycerin and so get a double explosive? this is a simple idea. any of us can see the sense of it--once it is suggested to us. but alfred nobel, the swedish chemist, who thought it out first in , made millions out of it. then, apparently alarmed at the possible consequences of his invention, he bequeathed the fortune he had made by it to found international prizes for medical, chemical and physical discoveries, idealistic literature and the promotion of peace. but his posthumous efforts for the advancement of civilization and the abolition of war did not amount to much and his high explosives were later employed to blow into pieces the doctors, chemists, authors and pacifists he wished to reward. nobel's invention, "cordite," is composed of nitroglycerin and nitrocellulose with a little mineral jelly or vaseline. besides cordite and similar mixtures of nitroglycerin and nitrocellulose there are two other classes of high explosives in common use. one is made from carbolic acid, which is familiar to us all by its use as a disinfectant. if this is treated with nitric and sulfuric acids we get from it picric acid, a yellow crystalline solid. every government has its own secret formula for this type of explosive. the british call theirs "lyddite," the french "melinite" and the japanese "shimose." the third kind of high explosives uses as its base toluol. this is not so familiar to us as glycerin, cotton or carbolic acid. it is one of the coal tar products, an inflammable liquid, resembling benzene. when treated with nitric acid in the usual way it takes up like the others three nitro groups and so becomes tri-nitro-toluol. realizing that people could not be expected to use such a mouthful of a word, the chemists have suggested various pretty nicknames, trotyl, tritol, trinol, tolite and trilit, but the public, with the wilfulness it always shows in the matter of names, persists in calling it tnt, as though it were an author like g.b.s., or g.k.c, or f.p.a. tnt is the latest of these high explosives and in some ways the best of them. picric acid has the bad habit of attacking the metals with which it rests in contact forming sensitive picrates that are easily set off, but tnt is inert toward metals and keeps well. tnt melts far below the boiling point of water so can be readily liquefied and poured into shells. it is insensitive to ordinary shocks. a rifle bullet can be fired through a case of it without setting it off, and if lighted with a match it burns quietly. the amazing thing about these modern explosives, the organic nitrates, is the way they will stand banging about and burning, yet the terrific violence with which they blow up when shaken by an explosive wave of a particular velocity like that of a fulminating cap. like picric acid, tnt stains the skin yellow and causes soreness and sometimes serious cases of poisoning among the employees, mostly girls, in the munition factories. on the other hand, the girls working with cordite get to using it as chewing gum; a harmful habit, not because of any danger of being blown up by it, but because nitroglycerin is a heart stimulant and they do not need that. [illustration: the genealogical tree of nitric acid from w.q. whitman's "the story of nitrates in the war," _general science quarterly_] tnt is by no means smokeless. the german shells that exploded with a cloud of black smoke and which british soldiers called "black marias," "coal-boxes" or "jack johnsons" were loaded with it. but it is an advantage to have a shell show where it strikes, although a disadvantage to have it show where it starts. it is these high explosives that have revolutionized warfare. as soon as the first german shell packed with these new nitrates burst inside the gruson cupola at liège and tore out its steel and concrete by the roots the world knew that the day of the fixed fortress was gone. the armies deserted their expensively prepared fortifications and took to the trenches. the british troops in france found their weapons futile and sent across the channel the cry of "send us high explosives or we perish!" the home government was slow to heed the appeal, but no progress was made against the germans until the allies had the means to blast them out of their entrenchments by shells loaded with five hundred pounds of tnt. all these explosives are made from nitric acid and this used to be made from nitrates such as potassium nitrate or saltpeter. but nitrates are rarely found in large quantities. napoleon and lee had a hard time to scrape up enough saltpeter from the compost heaps, cellars and caves for their gunpowder, and they did not use as much nitrogen in a whole campaign as was freed in a few days' cannonading on the somme. now there is one place in the world--and so far as we know one only--where nitrates are to be found abundantly. this is in a desert on the western slope of the andes where ancient guano deposits have decomposed and there was not enough rain to wash away their salts. here is a bed two miles wide, two hundred miles long and five feet deep yielding some twenty to fifty per cent. of sodium nitrate. the deposit originally belonged to peru, but chile fought her for it and got it in . here all countries came to get their nitrates for agriculture and powder making. germany was the largest customer and imported , tons of chilean nitrate in , besides using , tons of other nitrogen salts. by this means her old, wornout fields were made to yield greater harvests than our fresh land. germany and england were like two duelists buying powder at the same shop. the chilean government, pocketing an export duty that aggregated half a billion dollars, permitted the saltpeter to be shoveled impartially into british and german ships, and so two nitrogen atoms, torn from their pacific home and parted, like evangeline and gabriel, by transportation oversea, may have found themselves flung into each other's arms from the mouths of opposing howitzers in the air of flanders. goethe could write a romance on such a theme. now the moment war broke out this source of supply was shut off to both parties, for they blockaded each other. the british fleet closed up the german ports while the german cruisers in the pacific took up a position off the coast of chile in order to intercept the ships carrying nitrates to england and france. the panama canal, designed to afford relief in such an emergency, caved in most inopportunely. the british sent a fleet to the pacific to clear the nitrate route, but it was outranged and defeated on november , . then a stronger british fleet was sent out and smashed the germans off the falkland islands on december . but for seven weeks the nitrate route had been closed while the chemical reactions on the marne and yser were decomposing nitrogen-compounds at an unheard of rate. england was now free to get nitrates for her munition factories, but germany was still bottled up. she had stored up chilean nitrates in anticipation of the war and as soon as it was seen to be coming she bought all she could get in europe. but this supply was altogether inadequate and the war would have come to an end in the first winter if german chemists had not provided for such a contingency in advance by working out methods of getting nitrogen from the air. long ago it was said that the british ruled the sea and the french the land so that left nothing to the german but the air. the germans seem to have taken this jibe seriously and to have set themselves to make the most of the aerial realm in order to challenge the british and french in the fields they had appropriated. they had succeeded so far that the kaiser when he declared war might well have considered himself the prince of the power of the air. he had a fleet of zeppelins and he had means for the fixation of nitrogen such as no other nation possessed. the zeppelins burst like wind bags, but the nitrogen plants worked and made germany independent of chile not only during the war, but in the time of peace. germany during the war used , tons of nitric acid a year in explosives, yet her supply of nitrogen is exhaustless. [illustration: world production and consumption of fixed inorganic nitrogen expressed in tons nitrogen from _the journal of industrial and engineering chemistry_, march, .] nitrogen is free as air. that is the trouble; it is too free. it is fixed nitrogen that we want and that we are willing to pay for; nitrogen in combination with some other elements in the form of food or fertilizer so we can make use of it as we set it free. fixed nitrogen in its cheapest form, chile saltpeter, rose to $ during the war. free nitrogen costs nothing and is good for nothing. if a land-owner has a right to an expanding pyramid of air above him to the limits of the atmosphere--as, i believe, the courts have decided in the eaves-dropping cases--then for every square foot of his ground he owns as much nitrogen as he could buy for $ . the air is four-fifths free nitrogen and if we could absorb it in our lungs as we do the oxygen of the other fifth a few minutes breathing would give us a full meal. but we let this free nitrogen all out again through our noses and then go and pay cents a pound for steak or cents a dozen for eggs in order to get enough combined nitrogen to live on. though man is immersed in an ocean of nitrogen, yet he cannot make use of it. he is like coleridge's "ancient mariner" with "water, water, everywhere, nor any drop to drink." nitrogen is, as hood said not so truly about gold, "hard to get and hard to hold." the bacteria that form the nodules on the roots of peas and beans have the power that man has not of utilizing free nitrogen. instead of this quiet inconspicuous process man has to call upon the lightning when he wants to fix nitrogen. the air contains the oxygen and nitrogen which it is desired to combine to form nitrates but the atoms are paired, like to like. passing an electric spark through the air breaks up some of these pairs and in the confusion of the shock the lonely atoms seize on their nearest neighbor and so may get partners of the other sort. i have seen this same thing happen in a square dance where somebody made a blunder. it is easy to understand the reaction if we represent the atoms of oxygen and nitrogen by the initials of their names in this fashion: nn + oo --> no + no nitrogen oxygen nitric oxide the --> represents jove's thunderbolt, a stroke of artificial lightning. we see on the left the molecules of oxygen and nitrogen, before taking the electric treatment, as separate elemental pairs, and then to the right of the arrow we find them as compound molecules of nitric oxide. this takes up another atom of oxygen from the air and becomes noo, or using a subscript figure to indicate the number of atoms and so avoid repeating the letter, no_{ } which is the familiar nitro group of nitric acid (ho--no_{ }) and of its salts, the nitrates, and of its organic compounds, the high explosives. the no_{ } is a brown and evil-smelling gas which when dissolved in water (hoh) and further oxidized is completely converted into nitric acid. the apparatus which effects this transformation is essentially a gigantic arc light in a chimney through which a current of hot air is blown. the more thoroughly the air comes under the action of the electric arc the more molecules of nitrogen and oxygen will be broken up and rearranged, but on the other hand if the mixture of gases remains in the path of the discharge the no molecules are also broken up and go back into their original form of nn and oo. so the object is to spread out the electric arc as widely as possible and then run the air through it rapidly. in the schönherr process the electric arc is a spiral flame twenty-three feet long through which the air streams with a vortex motion. in the birkeland-eyde furnace there is a series of semi-circular arcs spread out by the repellent force of a powerful electric magnet in a flaming disc seven feet in diameter with a temperature of ° f. in the pauling furnace the electrodes between which the current strikes are two cast iron tubes curving upward and outward like the horns of a texas steer and cooled by a stream of water passing through them. these electric furnaces produce two or three ounces of nitric acid for each kilowatt-hour of current consumed. whether they can compete with the natural nitrates and the products of other processes depends upon how cheaply they can get their electricity. before the war there were several large installations in norway and elsewhere where abundant water power was available and now the norwegians are using half a million horse power continuously in the fixation of nitrogen and the rest of the world as much again. the germans had invested largely in these foreign oxidation plants, but shortly before the war they had sold out and turned their attention to other processes not requiring so much electrical energy, for their country is poorly provided with water power. the haber process, that they made most of, is based upon as simple a reaction as that we have been considering, for it consists in uniting two elemental gases to make a compound, but the elements in this case are not nitrogen and oxygen, but nitrogen and hydrogen. this gives ammonia instead of nitric acid, but ammonia is useful for its own purposes and it can be converted into nitric acid if this is desired. the reaction is: nn + hh + hh + hh --> nhhh + nhhh nitrogen hydrogen ammonia the animals go in two by two, but they come out four by four. four molecules of the mixed elements are turned into two molecules and so the gas shrinks to half its volume. at the same time it acquires an odor--familiar to us when we are curing a cold--that neither of the original gases had. the agent that effects the transformation in this case is not the electric spark--for this would tend to work the reaction backwards--but uranium, a rare metal, which has the peculiar property of helping along a reaction while seeming to take no part in it. such a substance is called a catalyst. the action of a catalyst is rather mysterious and whenever we have a mystery we need an analogy. we may, then, compare the catalyst to what is known as "a good mixer" in society. you know the sort of man i mean. he may not be brilliant or especially talkative, but somehow there is always "something doing" at a picnic or house-party when he is along. the tactful hostess, the salon leader, is a social catalyst. the trouble with catalysts, either human or metallic, is that they are rare and that sometimes they get sulky and won't work if the ingredients they are supposed to mix are unsuitable. but the uranium, osmium, platinum or whatever metal is used as a catalyzing agent is expensive and although it is not used up it is easily "poisoned," as the chemists say, by impurities in the gases. the nitrogen and the hydrogen for the haber process must then be prepared and purified before trying to combine them into ammonia. the nitrogen is obtained by liquefying air by cold and pressure and then boiling off the nitrogen at ° c. the oxygen left is useful for other purposes. the hydrogen needed is extracted by a similar process of fractional distillation from "water-gas," the blue-flame burning gas used for heating. then the nitrogen and hydrogen, mixed in the proportion of one to three, as shown in the reaction given above, are compressed to two hundred atmospheres, heated to ° f. and passed over the finely divided uranium. the stream of gas that comes out contains about four per cent. of ammonia, which is condensed to a liquid by cooling and the uncombined hydrogen and nitrogen passed again through the apparatus. the ammonia can be employed in refrigeration and other ways but if it is desired to get the nitrogen into the form of nitric acid it has to be oxidized by the so-called ostwald process. this is the reaction: nh_{ } + o --> hno_{ } + h_{ }o ammonia oxygen nitric acid water the catalyst used to effect this combination is the metal platinum in the form of fine wire gauze, since the action takes place only on the surface. the ammonia gas is mixed with air which supplies the oxygen and the heated mixture run through the platinum gauze at the rate of several yards a second. although the gases come in contact with the platinum only a five-hundredth part of a second yet eighty-five per cent. is converted into nitric acid. the haber process for the making of ammonia by direct synthesis from its constituent elements and the supplemental ostwald process for the conversion of the ammonia into nitric acid were the salvation of germany. as soon as the germans saw that their dash toward paris had been stopped at the marne they knew that they were in for a long war and at once made plans for a supply of fixed nitrogen. the chief german dye factories, the badische anilin and soda-fabrik, promptly put $ , , into enlarging its plant and raised its production of ammonium sulfate from , to , tons. one german electrical firm with aid from the city of berlin contracted to provide , , pounds of fixed nitrogen a year at a cost of three cents a pound for the next twenty-five years. the , tons of chilean nitrate imported annually by germany contained about , tons of the essential element nitrogen. the fourteen large plants erected during the war can fix in the form of nitrates , tons of nitrogen a year, which is more than twice the amount needed for internal consumption. so germany is now not only independent of the outside world but will have a surplus of nitrogen products which could be sold even in america at about half what the farmer has been paying for south american saltpeter. besides the haber or direct process there are other methods of making ammonia which are, at least outside of germany, of more importance. most prominent of these is the cyanamid process. this requires electrical power since it starts with a product of the electrical furnace, calcium carbide, familiar to us all as a source of acetylene gas. if a stream of nitrogen is passed over hot calcium carbide it is taken up by the carbide according to the following equation: cac_{ } + n_{ } --> cacn_{ } + c calcium carbide nitrogen calcium cyanamid carbon calcium cyanamid was discovered in by caro and franke when they were trying to work out a new process for making cyanide to use in extracting gold. it looks like stone and, under the name of lime-nitrogen, or kalkstickstoff, or nitrolim, is sold as a fertilizer. if it is desired to get ammonia, it is treated with superheated steam. the reaction produces heat and pressure, so it is necessary to carry it on in stout autoclaves or enclosed kettles. the cyanamid is completely and quickly converted into pure ammonia and calcium carbonate, which is the same as the limestone from which carbide was made. the reaction is: cacn_{ } + h_{ }o --> caco_{ } + nh_{ } calcium cyanamid water calcium carbonate ammonia another electrical furnace method, the serpek process, uses aluminum instead of calcium for the fixation of nitrogen. bauxite, or impure aluminum oxide, the ordinary mineral used in the manufacture of metallic aluminum, is mixed with coal and heated in a revolving electrical furnace through which nitrogen is passing. the equation is: al_{ }o_{ } + c + n_{ } --> aln + co aluminum carbon nitrogen aluminum carbon oxide nitride monoxide then the aluminum nitride is treated with steam under pressure, which produces ammonia and gives back the original aluminum oxide, but in a purer form than the mineral from which was made aln + h_{ }o --> nh_{ } + al_{ }o_{ } aluminum water ammonia aluminum oxide nitride the serpek process is employed to some extent in france in connection with the aluminum industry. these are the principal processes for the fixation of nitrogen now in use, but they by no means exhaust the possibilities. for instance, professor john c. bucher, of brown university, created a sensation in by announcing a new process which he had worked out with admirable completeness and which has some very attractive features. it needs no electric power or high pressure retorts or liquid air apparatus. he simply fills a twenty-foot tube with briquets made out of soda ash, iron and coke and passes producer gas through the heated tube. producer gas contains nitrogen since it is made by passing air over hot coal. the reaction is: na_{ }co_{ } + c + n_{ } = nacn + co sodium carbon nitrogen sodium carbon carbonate cyanide monoxide the iron here acts as the catalyst and converts two harmless substances, sodium carbonate, which is common washing soda, and carbon, into two of the most deadly compounds known to man, cyanide and carbon monoxide, which is what kills you when you blow out the gas. sodium cyanide is a salt of hydrocyanic acid, which for, some curious reason is called "prussic acid." it is so violent a poison that, as the freshman said in a chemistry recitation, "a single drop of it placed on the tongue of a dog will kill a man." but sodium cyanide is not only useful in itself, for the extraction of gold and cleaning of silver, but can be converted into ammonia, and a variety of other compounds such as urea and oxamid, which are good fertilizers; sodium ferrocyanide, that makes prussian blue; and oxalic acid used in dyeing. professor bucher claimed that his furnace could be set up in a day at a cost of less than $ and could turn out pounds of sodium cyanide in twenty-four hours. this process was placed freely at the disposal of the united states government for the war and a -ton plant was built at saltville, va., by the ordnance department. but the armistice put a stop to its operations and left the future of the process undetermined. [illustration: a chemical reaction on a large scale from the chemist's standpoint modern warfare consists in the rapid liberation of nitrogen from its compounds] [illustration: courtesy of e.i. du pont de nemours co. burning air in a birkeland-eyde furnace at the du pont plant an electric arc consuming about horse-power of energy is passing between the u-shaped electrodes which are made of copper tube cooled by an internal current of water. on the sides of the chamber are seen the openings through which the air passes impinging directly on both sides of the surface of the disk of flame. this flame is approximately seven feet in diameter and appears to be continuous although an alternating current of fifty cycles a second is used. the electric arc is spread into this disk flame by the repellent power of an electro-magnet the pointed pole of which is seen at bottom of the picture. under this intense heat a part of the nitrogen and oxygen of the air combine to form oxides of nitrogen which when dissolved in water form the nitric acid used in explosives.] [illustration: courtesy of e.i. du pont de nemours co. a battery of birkeland-eyde furnaces for the fixation of nitrogen at the du pont plant] we might have expected that the fixation of nitrogen by passing an electrical spark through hot air would have been an american invention, since it was franklin who snatched the lightning from the heavens as well as the scepter from the tyrant and since our output of hot air is unequaled by any other nation. but little attention was paid to the nitrogen problem until when it became evident that we should soon be drawn into a war "with a first class power." on june , , congress placed $ , , at the disposal of the president for investigation of "the best, cheapest and most available means for the production of nitrate and other products for munitions of war and useful in the manufacture of fertilizers and other useful products by water power or any other power." but by the time war was declared on april , , no definite program had been approved and by the time the armistice was signed on november , , no plants were in active operation. but five plants had been started and two of them were nearly ready to begin work when they were closed by the ending of the war. united states nitrate plant no. was located at sheffield, alabama, and was designed for the production of ammonia by "direct action" from nitrogen and hydrogen according to the plans of the american chemical company. its capacity was calculated at , pounds of anhydrous ammonia a day, half of which was to be oxidized to nitric acid. plant no. was erected at muscle shoals, alabama, to use the process of the american cyanamid company. this was contracted to produce , tons of ammonium nitrate a year and later two other cyanamid plants of half that capacity were started at toledo and ancor, ohio. at muscle shoals a mushroom city of , sprang up on an alabama cotton field in six months. the raw material, air, was as abundant there as anywhere and the power, water, could be obtained from the government hydro-electric plant on the tennessee river, but this was not available during the war, so steam was employed instead. the heat of the coal was used to cool the air down to the liquefying point. the principle of this process is simple. everybody knows that heat expands and cold contracts, but not everybody has realized the converse of this rule, that expansion cools and compression heats. if air is forced into smaller space, as in a tire pump, it heats up and if allowed to expand to ordinary pressure it cools off again. but if the air while compressed is cooled and then allowed to expand it must get still colder and the process can go on till it becomes cold enough to congeal. that is, by expanding a great deal of air, a little of it can be reduced to the liquefying point. at muscle shoals the plant for liquefying air, in order to get the nitrogen out of it, consisted of two dozen towers each capable of producing cubic feet of pure nitrogen per hour. the air was drawn in through two pipes, a yard across, and passed through scrubbing towers to remove impurities. the air was then compressed to pounds per square inch. nine tenths of the air was permitted to expand to pounds and this expansion cooled down the other tenth, still under high pressure, to the liquefying point. rectifying towers feet high were stacked with trays of liquid air from which the nitrogen was continually bubbling off since its boiling point is twelve degrees centigrade lower than that of oxygen. pure nitrogen gas collected at the top of the tower and the residual liquid air, now about half oxygen, was allowed to escape at the bottom. the nitrogen was then run through pipes into the lime-nitrogen ovens. there were of these about four feet square and each holding pounds of pulverized calcium carbide. this is at first heated by an electrical current to start the reaction which afterwards produces enough heat to keep it going. as the stream of nitrogen gas passes over the finely divided carbide it is absorbed to form calcium cyanamid as described on a previous page. this product is cooled, powdered and wet to destroy any quicklime or carbide left unchanged. then it is charged into autoclaves and steam at high temperature and pressure is admitted. the steam acting on the cyanamid sets free ammonia gas which is carried to towers down which cold water is sprayed, giving the ammonia water, familiar to the kitchen and the bathroom. but since nitric acid rather than ammonia was needed for munitions, the oxygen of the air had to be called into play. this process, as already explained, is carried on by aid of a catalyzer, in this case platinum wire. at muscle shoals there were of these catalyzer boxes. the ammonia gas, mixed with air to provide the necessary oxygen, was admitted at the top and passed down through a sheet of platinum gauze of mesh to the inch, heated to incandescence by electricity. in contact with this the ammonia is converted into gaseous oxides of nitrogen (the familiar red fumes of the laboratory) which, carried off in pipes, cooled and dissolved in water, form nitric acid. but since none of the national plants could be got into action during the war, the united states was compelled to draw upon south america for its supply. the imports of chilean saltpeter rose from half a million tons in to a million and a half in . after peace was made the department of war turned over to the department of agriculture its surplus of saltpeter, , tons, and it was sold to american farmers at cost, $ a ton. for nitrogen plays a double rôle in human economy. it appears like brahma in two aspects, vishnu the preserver and siva the destroyer. here i have been considering nitrogen in its maleficent aspect, its use in war. we now turn to its beneficent aspect, its use in peace. iii feeding the soil the great war not only starved people: it starved the land. enough nitrogen was thrown away in some indecisive battle on the aisne to save india from a famine. the population of europe as a whole has not been lessened by the war, but the soil has been robbed of its power to support the population. a plant requires certain chemical elements for its growth and all of these must be within reach of its rootlets, for it will accept no substitutes. a wheat stalk in france before the war had placed at its feet nitrates from chile, phosphates from florida and potash from germany. all these were shut off by the firing line and the shortage of shipping. out of the eighty elements only thirteen are necessary for crops. four of these are gases: hydrogen, oxygen, nitrogen and chlorine. five are metals: potassium, magnesium, calcium, iron and sodium. four are non-metallic solids: carbon, sulfur, phosphorus and silicon. three of these, hydrogen, oxygen and carbon, making up the bulk of the plant, are obtainable _ad libitum_ from the air and water. the other ten in the form of salts are dissolved in the water that is sucked up from the soil. the quantity needed by the plant is so small and the quantity contained in the soil is so great that ordinarily we need not bother about the supply except in case of three of them. they are nitrogen, potassium and phosphorus. these would be useless or fatal to plant life in the elemental form, but fixed in neutral salt they are essential plant foods. a ton of wheat takes away from the soil about pounds of nitrogen, pounds of phosphoric acid and pounds of potash. if then the farmer does not restore this much to his field every year he is drawing upon his capital and this must lead to bankruptcy in the long run. so much is easy to see, but actually the question is extremely complicated. when the german chemist, justus von liebig, pointed out in the possibility of maintaining soil fertility by the application of chemicals it seemed at first as though the question were practically solved. chemists assumed that all they had to do was to analyze the soil and analyze the crop and from this figure out, as easily as balancing a bank book, just how much of each ingredient would have to be restored to the soil every year. but somehow it did not work out that way and the practical agriculturist, finding that the formulas did not fit his farm, sneered at the professors and whenever they cited liebig to him he irreverently transposed the syllables of the name. the chemist when he went deeper into the subject saw that he had to deal with the colloids, damp, unpleasant, gummy bodies that he had hitherto fought shy of because they would not crystallize or filter. so the chemist called to his aid the physicist on the one hand and the biologist on the other and then they both had their hands full. the physicist found that he had to deal with a polyvariant system of solids, liquids and gases mutually miscible in phases too numerous to be handled by gibbs's rule. the biologist found that he had to deal with the invisible flora and fauna of a new world. plants obey the injunction of tennyson and rise on the stepping stones of their dead selves to higher things. each successive generation lives on what is left of the last in the soil plus what it adds from the air and sunshine. as soon as a leaf or tree trunk falls to the ground it is taken in charge by a wrecking crew composed of a myriad of microscopic organisms who proceed to break it up into its component parts so these can be used for building a new edifice. the process is called "rotting" and the product, the black, gummy stuff of a fertile soil, is called "humus." the plants, that is, the higher plants, are not able to live on their own proteids as the animals are. but there are lower plants, certain kinds of bacteria, that can break up the big complicated proteid molecules into their component parts and reduce the nitrogen in them to ammonia or ammonia-like compounds. having done this they stop and turn over the job to another set of bacteria to be carried through the next step. for you must know that soil society is as complex and specialized as that above ground and the tiniest bacterium would die rather than violate the union rules. the second set of bacteria change the ammonia over to nitrites and then a third set, the amalgamated union of nitrate workers, steps in and completes the process of oxidation with an efficiency that ostwald might envy, for ninety-six per cent. of the ammonia of the soil is converted into nitrates. but if the conditions are not just right, if the food is insufficient or unwholesome or if the air that circulates through the soil is contaminated with poison gases, the bacteria go on a strike. the farmer, not seeing the thing from the standpoint of the bacteria, says the soil is "sick" and he proceeds to doctor it according to his own notion of what ails it. first perhaps he tries running in strike breakers. he goes to one of the firms that makes a business of supplying nitrogen-fixing bacteria from the scabs or nodules of the clover roots and scatters these colonies over the field. but if the living conditions remain bad the newcomers will soon quit work too and the farmer loses his money. if he is wise, then, he will remedy the conditions, putting a better ventilation system in his soil perhaps or neutralizing the sourness by means of lime or killing off the ameboid banditti that prey upon the peaceful bacteria engaged in the nitrogen industry. it is not an easy job that the farmer has in keeping billions of billions of subterranean servants contented and working together, but if he does not succeed at this he wastes his seed and labor. the layman regards the soil as a platform or anchoring place on which to set plants. he measures its value by its superficial area without considering its contents, which is as absurd as to estimate a man's wealth by the size of his safe. the difference in point of view is well illustrated by the old story of the city chap who was showing his farmer uncle the sights of new york. when he took him to central park he tried to astonish him by saying "this land is worth $ , an acre." the old farmer dug his toe into the ground, kicked out a clod, broke it open, looked at it, spit on it and squeezed it in his hand and then said, "don't you believe it; 'tain't worth ten dollars an acre. mighty poor soil i call it." both were right. [illustration: courtesy of american cyanamid co. fixing nitrogen by calcium carbide a view of the oven room in the plant of the american cyanamid company. the steel cylinders standing in the background are packed with the carbide and then put into the ovens sunk in the floor. when these are heated internally by electricity to degrees fahrenheit pure nitrogen is let in and absorbed by the carbide, making cyanamid, which may be used as a fertilizer or for ammonia.] [illustration: photo by international film service a barrow full of potash salts extracted from six tons of green kelp by the government chemists] [illustration: nature's silent method of nitrogen fixation the nodules on the vetch roots contain colonies of bacteria which have the power of taking the free nitrogen out of the air and putting it in compounds suitable for plant food.] the modern agriculturist realizes that the soil is a laboratory for the production of plant food and he ordinarily takes more pains to provide a balanced ration for it than he does for his family. of course the necessity of feeding the soil has been known ever since man began to settle down and the ancient methods of maintaining its fertility, though discovered accidentally and followed blindly, were sound and efficacious. virgil, who like liberty hyde bailey was fond of publishing agricultural bulletins in poetry, wrote two thousand years ago: but sweet vicissitudes of rest and toil make easy labor and renew the soil yet sprinkle sordid ashes all around and load with fatt'ning dung thy fallow soil. the ashes supplied the potash and the dung the nitrate and phosphate. long before the discovery of the nitrogen-fixing bacteria, the custom prevailed of sowing pea-like plants every third year and then plowing them under to enrich the soil. but such local supplies were always inadequate and as soon as deposits of fertilizers were discovered anywhere in the world they were drawn upon. the richest of these was the chincha islands off the coast of peru, where millions of penguins and pelicans had lived in a most untidy manner for untold centuries. the guano composed of the excrement of the birds mixed with the remains of dead birds and the fishes they fed upon was piled up to a depth of feet. from this isle of penguins--which is not that described by anatole france--a billion dollars' worth of guano was taken and the deposit was soon exhausted. then the attention of the world was directed to the mainland of peru and chile, where similar guano deposits had been accumulated and, not being washed away on account of the lack of rain, had been deposited as sodium nitrate, or "saltpeter." these beds were discovered by a german, taddeo haenke, in , but it was not until the last quarter of the century that the nitrates came into common use as a fertilizer. since then more than , , tons have been taken out of these beds and the exportation has risen to a rate of , , to , , tons a year. how much longer they will last is a matter of opinion and opinion is largely influenced by whether you have your money invested in chilean nitrate stock or in one of the new synthetic processes for making nitrates. the united states department of agriculture says the nitrate beds will be exhausted in a few years. on the other hand the chilean inspector general of nitrate deposits in his latest official report says that they will last for two hundred years at the present rate and that then there are incalculable areas of low grade deposits, containing less than eleven per cent., to be drawn upon. anyhow, the south american beds cannot long supply the world's need of nitrates and we shall some time be starving unless creative chemistry comes to the rescue. in sir william crookes--the discoverer of the "crookes tubes," the radiometer and radiant matter--startled the british association for the advancement of science by declaring that the world was nearing the limit of wheat production and that by the bread-eaters, the caucasians, would have to turn to other grains or restrict their population while the rice and millet eaters of asia would continue to increase. sir william was laughed at then as a sensationalist. he was, but his sensations were apt to prove true and it is already evident that he was too near right for comfort. before we were half way to the date he set we had two wheatless days a week, though that was because we persisted in shooting nitrates into the air. the area producing wheat was by decades:[ ] the wheat fields of the world acres - , , - , , - , , probable limit , , if , , acres can be brought under cultivation for wheat and the average yield raised to twenty bushels to the acre, that will give enough to feed a billion people if they eat six bushels a year as do the english. whether this maximum is correct or not there is evidently some limit to the area which has suitable soil and climate for growing wheat, so we are ultimately thrown back upon crookes's solution of the problem; that is, we must increase the yield per acre and this can only be done by the use of fertilizers and especially by the fixation of atmospheric nitrogen. crookes estimated the average yield of wheat at . bushels to the acre, which is more than it is in the new lands of the united states, australia and russia, but less than in europe, where the soil is well fed. what can be done to increase the yield may be seen from these figures: gain in the yield of wheat in bushels per acre - germany belgium france united kingdom united states the greatest gain was made in germany and we see a reason for it in the fact that the german importation of chilean saltpeter was , tons in and , tons in . in potatoes, too, germany gets twice as big a crop from the same ground as we do, bushels per acre instead of our bushels. but the united states uses on the average only pounds of fertilizer per acre, while europe uses . it is clear that we cannot rely upon chile, but make nitrates for ourselves as germany had to in war time. in the first chapter we considered the new methods of fixing the free nitrogen from the air. but the fixation of nitrogen is a new business in this country and our chief reliance so far has been the coke ovens. when coal is heated in retorts or ovens for making coke or gas a lot of ammonia comes off with the other products of decomposition and is caught in the sulfuric acid used to wash the gas as ammonium sulfate. our american coke-makers have been in the habit of letting this escape into the air and consequently we have been losing some , tons of ammonium salts every year, enough to keep our land rich and give us all the explosives we should need. but now they are reforming and putting in ovens that save the by-products such as ammonia and coal tar, so in we got from this source , tons a year. [illustration: courtesy of _scientific american_. consumption of potash for agricultural purposes in different countries] germany had a natural monopoly of potash as chile had a natural monopoly of nitrates. the agriculture of europe and america has been virtually dependent upon these two sources of plant foods. now when the world was cleft in twain by the shock of august, , the allied powers had the nitrates and the central powers had the potash. if germany had not had up her sleeve a new process for making nitrates she could not long have carried on a war and doubtless would not have ventured upon it. but the outside world had no such substitute for the german potash salts and has not yet discovered one. consequently the price of potash in the united states jumped from $ to $ and the cost of food went up with it. even under the stimulus of prices ten times the normal and with chemists searching furnace crannies and bad lands the united states was able to scrape up less than , tons of potash in , and this was barely enough to satisfy our needs for two weeks! [illustration: what happened to potash when the war broke out. this diagram from the _journal of industrial and engineering chemistry_ of july, , shows how the supply of potassium muriate from germany was shut off in and how its price rose.] yet potash compounds are as cheap as dirt. pick up a handful of gravel and you will be able to find much of it feldspar or other mineral containing some ten per cent. of potash. unfortunately it is in combination with silica, which is harder to break up than a trust. but "constant washing wears away stones" and the potash that the metallurgist finds too hard to extract in his hottest furnace is washed out in the course of time through the dropping of the gentle rain from heaven. "all rivers run to the sea" and so the sea gets salt, all sorts of salts, principally sodium chloride (our table salt) and next magnesium, calcium and potassium chlorides or sulfates in this order of abundance. but if we evaporate sea-water down to dryness all these are left in a mix together and it is hard to sort them out. only patient nature has time for it and she only did on a large scale in one place, that is at stassfurt, germany. it seems that in the days when northwestern prussia was undetermined whether it should be sea or land it was flooded annually by sea-water. as this slowly evaporated the dissolved salts crystallized out at the critical points, leaving beds of various combinations. each year there would be deposited three to five inches of salts with a thin layer of calcium sulfate or gypsum on top. counting these annual layers, like the rings on a stump, we find that the stassfurt beds were ten thousand years in the making. they were first worked for their salt, common salt, alone, but in the prussian government began prospecting for new and deeper deposits and found, not the clean rock salt that they wanted, but bittern, largely magnesium sulfate or epsom salt, which is not at all nice for table use. this stuff was first thrown away until it was realized that it was much more valuable for the potash it contains than was the rock salt they were after. then the germans began to purify the stassfurt salts and market them throughout the world. they contain from fifteen to twenty-five per cent. of magnesium chloride mixed with magnesium chloride in "carnallite," with magnesium sulfate in "kainite" and sodium chloride in "sylvinite." more than thirty thousand miners and workmen are employed in the stassfurt works. there are some seventy distinct establishments engaged in the business, but they are in combination. in fact they are compelled to be, for the german government is as anxious to promote trusts as the american government is to prevent them. once the stassfurt firms had a falling out and began a cutthroat competition. but the german government objects to its people cutting each other's throats. american dealers were getting unheard of bargains when the german government stepped in and compelled the competing corporations to recombine under threat of putting on an export duty that would eat up their profits. the advantages of such business coöperation are specially shown in opening up a new market for an unknown product as in the case of the introduction of the stassfurt salts into american agriculture. the farmer in any country is apt to be set in his ways and when it comes to inducing him to spend his hard-earned money for chemicals that he never heard of and could not pronounce he--quite rightly--has to be shown. well, he was shown. it was, if i remember right, early in the nineties that the german kali syndikat began operations in america and the united states government became its chief advertising agent. in every state there was an agricultural experiment station and these were provided liberally with illustrated literature on stassfurt salts with colored wall charts and sets of samples and free sacks of salts for field experiments. the station men, finding that they could rely upon the scientific accuracy of the information supplied by kali and that the experiments worked out well, became enthusiastic advocates of potash fertilizers. the station bulletins--which uncle sam was kind enough to carry free to all the farmers of the state--sometimes were worded so like the kali company advertising that the company might have raised a complaint of plagiarizing, but they never did. the chilean nitrates, which are under british control, were later introduced by similar methods through the agency of the state agricultural experiment stations. as a result of all this missionary work, which cost the kali company $ , a year, the attention of a large proportion of american farmers was turned toward intensive farming and they began to realize the necessity of feeding the soil that was feeding them. they grew dependent upon these two foreign and widely separated sources of supply. in the year before the war the united states imported a million tons of stassfurt salts, for which the farmers paid more than $ , , . then a declaration of american independence--the german embargo of --cut us off from stassfurt and for five years we had to rely upon our own resources. we have seen how germany--shut off from chile--solved the nitrogen problem for her fields and munition plants. it was not so easy for us--shut off from germany--to solve the potash problem. there is no more lack of potash in the rocks than there is of nitrogen in the air, but the nitrogen is free and has only to be caught and combined, while the potash is shut up in a granite prison from which it is hard to get it free. it is not the percentage in the soil but the percentage in the soil water that counts. a farmer with his potash locked up in silicates is like the merchant who has left the key of his safe at home in his other trousers. he may be solvent, but he cannot meet a sight draft. it is only solvent potash that passes current. in the days of our grandfathers we had not only national independence but household independence. every homestead had its own potash plant and soap factory. the frugal housewife dumped the maple wood ashes of the fireplace into a hollow log set up on end in the backyard. water poured over the ashes leached out the lye, which drained into a bucket beneath. this gave her a solution of pearl ash or potassium carbonate whose concentration she tested with an egg as a hydrometer. in the meantime she had been saving up all the waste grease from the frying pan and pork rinds from the plate and by trying out these she got her soap fat. then on a day set apart for this disagreeable process in chemical technology she boiled the fat and the lye together and got "soft soap," or as the chemist would call it, potassium stearate. if she wanted hard soap she "salted it out" with brine. the sodium stearate being less soluble was precipitated to the top and cooled into a solid cake that could be cut into bars by pack thread. but the frugal housewife threw away in the waste water what we now consider the most valuable ingredients, the potash and the glycerin. but the old lye-leach is only to be found in ruins on an abandoned farm and we no longer burn wood at the rate of a log a night. in even under the stimulus of tenfold prices the amount of potash produced as pearl ash was only tons--and we need , tons in some form. it would, of course, be very desirable as a conservation measure if all the sawdust and waste wood were utilized by charring it in retorts. the gas makes a handy fuel. the tar washed from the gas contains a lot of valuable products. and potash can be leached out of the charcoal or from its ashes whenever it is burned. but this at best would not go far toward solving the problem of our national supply. there are other potash-bearing wastes that might be utilized. the cement mills which use feldspar in combination with limestone give off a potash dust, very much to the annoyance of their neighbors. this can be collected by running the furnace clouds into large settling chambers or long flues, where the dust may be caught in bags, or washed out by water sprays or thrown down by electricity. the blast furnaces for iron also throw off potash-bearing fumes. our six-million-ton crop of sugar beets contains some , tons of nitrogen, tons of phosphoric acid and , tons of potash, all of which is lost except where the waste liquors from the sugar factory are used in irrigating the beet land. the beet molasses, after extracting all the sugar possible by means of lime, leaves a waste liquor from which the potash can be recovered by evaporation and charring and leaching the residue. the germans get tons of potassium cyanide and as much ammonium sulfate annually from the waste liquor of their beet sugar factories and if it pays them to save this it ought to pay us where potash is dearer. various other industries can put in a bit when uncle sam passes around the contribution basket marked "potash for the poor." wool wastes and fish refuse make valuable fertilizers, although they will not go far toward solving the problem. if we saved all our potash by-products they would not supply more than fifteen per cent. of our needs. though no potash beds comparable to those of stassfurt have yet been discovered in the united states, yet in nebraska, utah, california and other western states there are a number of alkali lakes, wet or dry, containing a considerable amount of potash mixed with soda salts. of these deposits the largest is searles lake, california. here there are some twelve square miles of salt crust some seventy feet deep and the brine as pumped out contains about four per cent. of potassium chloride. the quantity is sufficient to supply the country for over twenty years, but it is not an easy or cheap job to separate the potassium from the sodium salts which are five times more abundant. these being less soluble than the potassium salts crystallize out first when the brine is evaporated. the final crystallization is done in vacuum pans as in getting sugar from the cane juice. in this way the american trona corporation is producing some tons of potash salts a month besides a thousand tons of borax. the borax which is contained in the brine to the extent of - / per cent. is removed from the fertilizer for a double reason. it is salable by itself and it is detrimental to plant life. another mineral source of potash is alunite, which is a sort of natural alum, or double sulfate of potassium and aluminum, with about ten per cent. of potash. it contains a lot of extra alumina, but after roasting in a kiln the potassium sulfate can be leached out. the alunite beds near marysville, utah, were worked for all they were worth during the war, but the process does not give potash cheap enough for our needs in ordinary times. [illustration: photo by international film service in order to secure a new supply of potash salts the united states government set up an experimental plant at sutherland, california, for the utilization of kelp. the harvester cuts tons of kelp at a load] [illustration: the kelp harvester gathering the seaweed from the pacific ocean] [illustration: courtesy of hercules powder co. overhead suction at the san diego wharf pumping kelp from the barge to the digestion tanks] the tourist going through wyoming on the union pacific will have to the north of him what is marked on the map as the "leucite hills." if he looks up the word in the unabridged that he carries in his satchel he will find that leucite is a kind of lava and that it contains potash. but he will also observe that the potash is combined with alumina and silica, which are hard to get out and useless when you get them out. one of the lavas of the leucite hills, that named from its native state "wyomingite," gives fifty-seven per cent. of its potash in a soluble form on roasting with alunite--but this costs too much. the same may be said of all the potash feldspars and mica. they are abundant enough, but until we find a way of utilizing the by-products, say the silica in cement and the aluminum as a metal, they cannot solve our problem. since it is so hard to get potash from the land it has been suggested that we harvest the sea. the experts of the united states department of agriculture have placed high hopes in the kelp or giant seaweed which floats in great masses in the pacific ocean not far off from the california coast. this is harvested with ocean reapers run by gasoline engines and brought in barges to the shore, where it may be dried and used locally as a fertilizer or burned and the potassium chloride leached out of the charcoal ashes. but it is hard to handle the bulky, slimy seaweed cheaply enough to get out of it the small amount of potash it contains. so efforts are now being made to get more out of the kelp than the potash. instead of burning the seaweed it is fermented in vats producing acetic acid (vinegar). from the resulting liquid can be obtained lime acetate, potassium chloride, potassium iodide, acetone, ethyl acetate (used as a solvent for guncotton) and algin, a gelatin-like gum. production of potash in the united states __________________________________________________________________________ | | | | source | tons k_{ }o | per cent. | tons k_{ }o | per cent. | | of total | | of total | | production | | production ____________________|_____________|____________|_____________|____________ | | | | mineral sources: | | | | natural brines | , | . | , | . altmite | , | . | , | . dust from cement | | | | mills | | | , | . dust from blast | | | | furnaces | | | | . organic sources: | | | | kelp | , | . | , | . molasses residue | | | | from distillers | , | . | , | . wood ashes | | . | | . waste liquors | | | | from beet-sugar | | | | refineries | | | | . miscellaneous | | | | industrial | | | | wastes | | . | | . | ___________ | __________ | ___________ | __________ | | | | total | , | . | , | . --from u s. bureau of mines report, . this table shows how inadequate was the reaction of the united states to the war demand for potassium salts. the minimum yearly requirements of the united states are estimated to be , tons of potash. this completes our survey of the visible sources of potash in america. in under the pressure of the embargo and unprecedented prices the output of potash (k_{ }o) in various forms was raised to , tons, but this is only about a tenth as much as we needed. in potash production was further raised to , tons, chiefly through the increase of the output from natural brines to , tons, nearly twice what it was the year before. the rust in cotton and the resulting decrease in yield during the war are laid to lack of potash. truck crops grown in soils deficient in potash do not stand transportation well. the bureau of animal industry has shown in experiments in aroostook county, maine, that the addition of moderate amounts of potash doubled the yield of potatoes. professor ostwald, the great leipzig chemist, boasted in the war: america went into the war like a man with a rope round his neck which is in his enemy's hands and is pretty tightly drawn. with its tremendous deposits germany has a world monopoly in potash, a point of immense value which cannot be reckoned too highly when once this war is going to be settled. it is in germany's power to dictate which of the nations shall have plenty of food and which shall starve. if, indeed, some mineralogist or metallurgist will cut that rope by showing us a supply of cheap potash we will erect him a monument as big as washington's. but ostwald is wrong in supposing that america is as dependent as germany upon potash. the bulk of our food crops are at present raised without the use of any fertilizers whatever. as the cession of lorraine in gave germany the phosphates she needed for fertilizers so the retrocession of alsace in gives france the potash she needed for fertilizers. ten years before the war a bed of potash was discovered in the forest of monnebruck, near hartmannsweilerkopf, the peak for which french and germans contested so fiercely and so long. the layer of potassium salts is - / feet thick and the total deposit is estimated to be , , tons of potash. at any rate it is a formidable rival of stassfurt and its acquisition by france breaks the german monopoly. when we turn to the consideration of the third plant food we feel better. while the united states has no such monopoly of phosphates as germany had of potash and chile had of nitrates we have an abundance and to spare. whereas we formerly _imported_ about $ , , worth of potash from germany and $ , , worth of nitrates from chile a year we _exported_ $ , , worth of phosphates. whoever it was who first noticed that the grass grew thicker around a buried bone he lived so long ago that we cannot do honor to his powers of observation, but ever since then--whenever it was--old bones have been used as a fertilizer. but we long ago used up all the buffalo bones we could find on the prairies and our packing houses could not give us enough bone-meal to go around, so we have had to draw upon the old bone-yards of prehistoric animals. deposits of lime phosphate of such origin were found in south carolina in and in florida in . since then the industry has developed with amazing rapidity until in the united states produced over three million tons of phosphates, nearly half of which was sent abroad. the chief source at present is the florida pebbles, which are dredged up from the bottoms of lakes and rivers or washed out from the banks of streams by a hydraulic jet. the gravel is washed free from the sand and clay, screened and dried, and then is ready for shipment. the rock deposits of florida and south carolina are more limited than the pebble beds and may be exhausted in twenty-five or thirty years, but tennessee and kentucky have a lot in reserve and behind them are idaho, wyoming and other western states with millions of acres of phosphate land, so in this respect we are independent. but even here the war hit us hard. for the calcium phosphate as it comes from the ground is not altogether available because it is not very soluble and the plants can only use what they can get in the water that they suck up from the soil. but if the phosphate is treated with sulfuric acid it becomes more soluble and this product is sold as "superphosphate." the sulfuric acid is made mostly from iron pyrite and this we have been content to import, over , tons of it a year, largely from spain, although we have an abundance at home. since the shortage of shipping shut off the foreign supply we are using more of our own pyrite and also our deposits of native sulfur along the gulf coast. but as a consequence of this sulfuric acid during the war went up from $ to $ a ton and acidulated phosphates rose correspondingly. germany is short on natural phosphates as she is long on natural potash. but she has made up for it by utilizing a by-product of her steelworks. when phosphorus occurs in iron ore, even in minute amounts, it makes the steel brittle. much of the iron ores of alsace-lorraine were formerly considered unworkable because of this impurity, but shortly after germany took these provinces from france in a method was discovered by two british metallurgists, thomas and gilchrist, by which the phosphorus is removed from the iron in the process of converting it into steel. this consists in lining the crucible or converter with lime and magnesia, which takes up the phosphorus from the melted iron. this slag lining, now rich in phosphates, can be taken out and ground up for fertilizer. so the phosphorus which used to be a detriment is now an additional source of profit and this british invention has enabled germany to make use of the territory she stole from france to outstrip england in the steel business. in germany produced , , tons of thomas slag while only , tons were produced in the united kingdom. the open hearth process now chiefly used in the united states gives an acid instead of a basic phosphate slag, not suitable as a fertilizer. the iron ore of america, with the exception of some of the southern ores, carries so small a percentage of phosphorus as to make a basic process inadvisable. recently the germans have been experimenting with a combined fertilizer, schröder's potassium phosphate, which is said to be as good as thomas slag for phosphates and as good as stassfurt salts for potash. the american cyanamid company is just putting out a similar product, "ammo-phos," in which the ammonia can be varied from thirteen to twenty per cent. and the phosphoric acid from twenty to forty-seven per cent. so as to give the proportions desired for any crop. we have then the possibility of getting the three essential plant foods altogether in one compound with the elimination of most of the extraneous elements such as lime and magnesia, chlorids and sulfates. for the last three hundred years the american people have been living on the unearned increment of the unoccupied land. but now that all our land has been staked out in homesteads and we cannot turn to new soil when we have used up the old, we must learn, as the older races have learned, how to keep up the supply of plant food. only in this way can our population increase and prosper. as we have seen, the phosphate question need not bother us and we can see our way clear toward solving the nitrate question. we gave the government $ , , to experiment on the production of nitrates from the air and the results will serve for fields as well as firearms. but the question of an independent supply of cheap potash is still unsolved. iv coal-tar colors if you put a bit of soft coal into a test tube (or, if you haven't a test tube, into a clay tobacco pipe and lute it over with clay) and heat it you will find a gas coming out of the end of the tube that will burn with a yellow smoky flame. after all the gas comes off you will find in the bottom of the test tube a chunk of dry, porous coke. these, then, are the two main products of the destructive distillation of coal. but if you are an unusually observant person, that is, if you are a born chemist with an eye to by-products, you will notice along in the middle of the tube where it is neither too hot nor too cold some dirty drops of water and some black sticky stuff. if you are just an ordinary person, you won't pay any attention to this because there is only a little of it and because what you are after is the coke and gas. you regard the nasty, smelly mess that comes in between as merely a nuisance because it clogs up and spoils your nice, clean tube. now that is the way the gas-makers and coke-makers--being for the most part ordinary persons and not born chemists--used to regard the water and tar that got into their pipes. they washed it out so as to have the gas clean and then ran it into the creek. but the neighbors--especially those who fished in the stream below the gas-works--made a fuss about spoiling the water, so the gas-men gave away the tar to the boys for use in celebrating the fourth of july and election night or sold it for roofing. [illustration: the production of coal tar a battery of koppers by-product coke-ovens at the plant of the bethlehem steel company, sparrows point, maryland. the coke is being pushed out of one of the ovens into the waiting car. the vapors given off from the coal contain ammonia and the benzene compound used to make dyes and explosives] [illustration: in these mixing vats at the buffalo works, aniline dyes are prepared] but this same tar, which for a hundred years was thrown away and nearly half of which is thrown away yet in the united states, turns out to be one of the most useful things in the world. it is one of the strategic points in war and commerce. it wounds and heals. it supplies munitions and medicines. it is like the magic purse of fortunatus from which anything wished for could be drawn. the chemist puts his hand into the black mass and draws out all the colors of the rainbow. this evil-smelling substance beats the rose in the production of perfume and surpasses the honey-comb in sweetness. bishop berkeley, after having proved that all matter was in your mind, wrote a book to prove that wood tar would cure all diseases. nobody reads it now. the name is enough to frighten them off: "siris: a chain of philosophical reflections and inquiries concerning the virtues of tar water." he had a sort of mystical idea that tar contained the quintessence of the forest, the purified spirit of the trees, which could somehow revive the spirit of man. people said he was crazy on the subject, and doubtless he was, but the interesting thing about it is that not even his active and ingenious imagination could begin to suggest all of the strange things that can be got out of tar, whether wood or coal. the reason why tar supplies all sorts of useful material is because it is indeed the quintessence of the forest, of the forests of untold millenniums if it is coal tar. if you are acquainted with a village tinker, one of those all-round mechanics who still survive in this age of specialization and can mend anything from a baby-carriage to an automobile, you will know that he has on the floor of his back shop a heap of broken machinery from which he can get almost anything he wants, a copper wire, a zinc plate, a brass screw or a steel rod. now coal tar is the scrap-heap of the vegetable kingdom. it contains a little of almost everything that makes up trees. but you must not imagine that all that comes out of coal tar is contained in it. there are only about a dozen primary products extracted from coal tar, but from these the chemist is able to build up hundreds of thousands of new substances. this is true creative chemistry, for most of these compounds are not to be found in plants and never existed before they were made in the laboratory. it used to be thought that organic compounds, the products of vegetable and animal life, could only be produced by organized beings, that they were created out of inorganic matter by the magic touch of some "vital principle." but since the chemist has learned how, he finds it easier to make organic than inorganic substances and he is confident that he can reproduce any compound that he can analyze. he cannot only imitate the manufacturing processes of the plants and animals, but he can often beat them at their own game. when coal is heated in the open air it is burned up and nothing but the ashes is left. but heat the coal in an enclosed vessel, say a big fireclay retort, and it cannot burn up because the oxygen of the air cannot get to it. so it breaks up. all parts of it that can be volatized at a high heat pass off through the outlet pipe and nothing is left in the retort but coke, that is carbon with the ash it contains. when the escaping vapors reach a cool part of the outlet pipe the oily and tarry matter condenses out. then the gas is passed up through a tower down which water spray is falling and thus is washed free from ammonia and everything else that is soluble in water. this process is called "destructive distillation." what products come off depends not only upon the composition of the particular variety of coal used, but upon the heat, pressure and rapidity of distillation. the way you run it depends upon what you are most anxious to have. if you want illuminating gas you will leave in it the benzene. if you are after the greatest yield of tar products, you impoverish the gas by taking out the benzene and get a blue instead of a bright yellow flame. if all you are after is cheap coke, you do not bother about the by-products, but let them escape and burn as they please. the tourist passing across the coal region at night could see through his car window the flames of hundreds of old-fashioned bee-hive coke-ovens and if he were of economical mind he might reflect that this display of fireworks was costing the country $ , , a year besides consuming the irreplaceable fuel supply of the future. but since the gas was not needed outside of the cities and since the coal tar, if it could be sold at all, brought only a cent or two a gallon, how could the coke-makers be expected to throw out their old bee-hive ovens and put in the expensive retorts and towers necessary to the recovery of the by-products? but within the last ten years the by-product ovens have come into use and now nearly half our coke is made in them. although the products of destructive distillation vary within wide limits, yet the following table may serve to give an approximate idea of what may be got from a ton of soft coal: ton of coal may give gas, , cubic feet liquor (washings) ammonium sulfate ( - pounds) tar ( pounds) benzene ( - pounds) toluene ( pounds) xylene ( - / pounds) phenol ( / pound) naphthalene ( / pound) anthracene ( / pound) pitch ( pounds) coke ( - pounds) when the tar is redistilled we get, among other things, the ten "crudes" which are fundamental material for making dyes. their names are: benzene, toluene, xylene, phenol, cresol, naphthalene, anthracene, methyl anthracene, phenanthrene and carbazol. there! i had to introduce you to the whole receiving line, but now that that ceremony is over we are at liberty to do as we do at a reception, meet our old friends, get acquainted with one or two more and turn our backs on the rest. two of them, i am sure, you've met before, phenol, which is common carbolic acid, and naphthalene, which we use for mothballs. but notice one thing in passing, that not one of them is a dye. they are all colorless liquids or white solids. also they all have an indescribable odor--all odors that you don't know are indescribable--which gives them and their progeny, even when odorless, the name of "aromatic compounds." [illustration: fig. . diagram of the products obtained from coal and some of their uses.] the most important of the ten because he is the father of the family is benzene, otherwise called benzol, but must not be confused with "benzine" spelled with an _i_ which we used to burn and clean our clothes with. "benzine" is a kind of gasoline, but benzene _alias_ benzol has quite another constitution, although it looks and burns the same. now the search for the constitution of benzene is one of the most exciting chapters in chemistry; also one of the most intricate chapters, but, in spite of that, i believe i can make the main point of it clear even to those who have never studied chemistry--provided they retain their childish liking for puzzles. it is really much like putting together the old six-block chinese puzzle. the chemist can work better if he has a picture of what he is working with. now his unit is the molecule, which is too small even to analyze with the microscope, no matter how high powered. so he makes up a sort of diagram of the molecule, and since he knows the number of atoms and that they are somehow attached to one another, he represents each atom by the first letter of its name and the points of attachment or bonds by straight lines connecting the atoms of the different elements. now it is one of the rules of the game that all the bonds must be connected or hooked up with atoms at both ends, that there shall be no free hands reaching out into empty space. carbon, for instance, has four bonds and hydrogen only one. they unite, therefore, in the proportion of one atom of carbon to four of hydrogen, or ch_{ }, which is methane or marsh gas and obviously the simplest of the hydrocarbons. but we have more complex hydrocarbons such as c_{ }h_{ }, known as hexane. now if you try to draw the diagrams or structural formulas of these two compounds you will easily get h h h h h h h | | | | | | | h-c-h h-c-c-c-c-c-c-h | | | | | | | h h h h h h h methane hexane each carbon atom, you see, has its four hands outstretched and duly grasped by one-handed hydrogen atoms or by neighboring carbon atoms in the chain. we can have such chains as long as you please, thirty or more in a chain; they are all contained in kerosene and paraffin. so far the chemist found it east to construct diagrams that would satisfy his sense of the fitness of things, but when he found that benzene had the compostion c_{ }h_{ } he was puzzled. if you try to draw the picture of c_{ }h_{ } you will get something like this: | | | | | | -c-c-c-c-c-c- | | | | | | h h h h h h which is an absurdity because more than half of the carbon hands are waving wildly around asking to be held by something. benzene, c_{ }h_{ }, evidently is like hexane, c_{ }h_{ }, in having a chain of six carbon atoms, but it has dropped its h's like an englishman. eight of the h's are missing. now one of the men who was worried over this benzene puzzle was the german chemist, kekulé. one evening after working over the problem all day he was sitting by the fire trying to rest, but he could not throw it off his mind. the carbon and the hydrogen atoms danced like imps on the carpet and as he watched them through his half-closed eyes he suddenly saw that the chain of six carbon atoms had joined at the ends and formed a ring while the six hydrogen atoms were holding on to the outside hands, in this fashion: h | c / \\ h-c c-h || | h-c c-h \ // c | h professor kekulé saw at once that the demons of his subconscious self had furnished him with a clue to the labyrinth, and so it proved. we need not suppose that the benzene molecule if we could see it would look anything like this diagram of it, but the theory works and that is all the scientist asks of any theory. by its use thousands of new compounds have been constructed which have proved of inestimable value to man. the modern chemist is not a discoverer, he is an inventor. he sits down at his desk and draws a "kekulé ring" or rather hexagon. then he rubs out an h and hooks a nitro group (no_{ }) on to the carbon in place of it; next he rubs out the o_{ } of the nitro group and puts in h_{ }; then he hitches on such other elements, or carbon chains and rings as he likes. he works like an architect designing a house and when he gets a picture of the proposed compounds to suit him he goes into the laboratory to make it. first he takes down the bottle of benzene and boils up some of this with nitric acid and sulfuric acid. this he puts in the nitro group and makes nitro-benzene, c_{ }h_{ }no_{ }. he treats this with hydrogen, which displaces the oxygen and gives c_{ }h_{ }nh_{ } or aniline, which is the basis of so many of these compounds that they are all commonly called "the aniline dyes." but aniline itself is not a dye. it is a colorless or brownish oil. it is not necessary to follow our chemist any farther now that we have seen how he works, but before we pass on we will just look at one of his products, not one of the most complicated but still complicated enough. [illustration: a molecule of a coal-tar dye] the name of this is sodium ditolyl-disazo-beta-naphthylamine- -sulfonic-beta-naphthylamine- . -disulfonate. these chemical names of organic compounds are discouraging to the beginner and amusing to the layman, but that is because neither of them realizes that they are not really words but formulas. they are hyphenated because they come from germany. the name given above is no more of a mouthful than "a-square-plus-two-a-b-plus-b-square" or "third assistant secretary of war to the president of the united states of america." the trade name of this dye is brilliant congo, but while that is handier to say it does not mean anything. nobody but an expert in dyes would know what it was, while from the formula name any chemist familiar with such compounds could draw its picture, tell how it would behave and what it was made from, or even make it. the old alchemist was a secretive and pretentious person and used to invent queer names for the purpose of mystifying and awing the ignorant. but the chemist in dropping the al- has dropped the idea of secrecy and his names, though equally appalling to the layman, are designed to reveal and not to conceal. from this brief explanation the reader who has not studied chemistry will, i think, be able to get some idea of how these very intricate compounds are built up step by step. a completed house is hard to understand, but when we see the mason laying one brick on top of another it does not seem so difficult, although if we tried to do it we should not find it so easy as we think. anyhow, let me give you a hint. if you want to make a good impression on a chemist don't tell him that he seems to you a sort of magician, master of a black art, and all that nonsense. the chemist has been trying for three hundred years to live down the reputation of being inspired of the devil and it makes him mad to have his past thrown up at him in this fashion. if his tactless admirers would stop saying "it is all a mystery and a miracle to me, and i cannot understand it" and pay attention to what he is telling them they would understand it and would find that it is no more of a mystery or a miracle than anything else. you can make an electrician mad in the same way by interrupting his explanation of a dynamo by asking: "but you cannot tell me what electricity really is." the electrician does not care a rap what electricity "really is"--if there really is any meaning to that phrase. all he wants to know is what he can do with it. [illustration: comparison of coal and its distillation products from hesse's "the industry of the coal tar dyes," _journal of industrial and engineering chemistry_, december, ] the tar obtained from the gas plant or the coke plant has now to be redistilled, giving off the ten "crudes" already mentioned and leaving in the still sixty-five per cent. of pitch, which may be used for roofing, paving and the like. the ten primary products or crudes are then converted into secondary products or "intermediates" by processes like that for the conversion of benzene into aniline. there are some three hundred of these intermediates in use and from them are built up more than three times as many dyes. the year before the war the american custom house listed distinct brands of synthetic dyes imported, chiefly from germany, but some of these were trade names for the same product made by different firms or represented by different degrees of purity or form of preparation. although the number of possible products is unlimited and over five thousand dyes are known, yet only about nine hundred are in use. we can summarize the situation so: coal-tar --> crudes --> intermediates --> dyes --> brands. or, to borrow the neat simile used by dr. bernhard c. hesse, it is like cloth-making where "ten fibers make yarns which are woven into patterns." the advantage of the artificial dyestuffs over those found in nature lies in their variety and adaptability. practically any desired tint or shade can be made for any particular fabric. if my lady wants a new kind of green for her stockings or her hair she can have it. candies and jellies and drinks can be made more attractive and therefore more appetizing by varied colors. easter eggs and easter bonnets take on new and brighter hues. more and more the chemist is becoming the architect of his own fortunes. he does not make discoveries by picking up a beaker and pouring into it a little from each bottle on the shelf to see what happens. he generally knows what he is after, and he generally gets it, although he is still often baffled and occasionally happens on something quite unexpected and perhaps more valuable than what he was looking for. columbus was looking for india when he ran into an obstacle that proved to be america. william henry perkin was looking for quinine when he blundered into that rich and undiscovered country, the aniline dyes. william henry was a queer boy. he had rather listen to a chemistry lecture than eat. when he was attending the city of london school at the age of thirteen there was an extra course of lectures on chemistry given at the noon recess, so he skipped his lunch to take them in. hearing that a german chemist named hofmann had opened a laboratory in the royal college of london he headed for that. hofmann obviously had no fear of forcing the young intellect prematurely. he perhaps had never heard that "the tender petals of the adolescent mind must be allowed to open slowly." he admitted young perkin at the age of fifteen and started him on research at the end of his second year. an american student nowadays thinks he is lucky if he gets started on his research five years older than perkin. now if hofmann had studied pedagogical psychology he would have been informed that nothing chills the ardor of the adolescent mind like being set at tasks too great for its powers. if he had heard this and believed it, he would not have allowed perkin to spend two years in fruitless endeavors to isolate phenanthrene from coal tar and to prepare artificial quinine--and in that case perkin would never have discovered the aniline dyes. but perkin, so far from being discouraged, set up a private laboratory so he could work over-time. while working here during the easter vacation of --the date is as well worth remembering as --he was oxidizing some aniline oil when he got what chemists most detest, a black, tarry mass instead of nice, clean crystals. when he went to wash this out with alcohol he was surprised to find that it gave a beautiful purple solution. this was "mauve," the first of the aniline dyes. the funny thing about it was that when perkin tried to repeat the experiment with purer aniline he could not get his color. it was because he was working with impure chemicals, with aniline containing a little toluidine, that he discovered mauve. it was, as i said, a lucky accident. but it was not accidental that the accident happened to the young fellow who spent his noonings and vacations at the study of chemistry. a man may not find what he is looking for, but he never finds anything unless he is looking for something. mauve was a product of creative chemistry, for it was a substance that had never existed before. perkin's next great triumph, ten years later, was in rivaling nature in the manufacture of one of her own choice products. this is alizarin, the coloring matter contained in the madder root. it was an ancient and oriental dyestuff, known as "turkey red" or by its arabic name of "alizari." when madder was introduced into france it became a profitable crop and at one time half a million tons a year were raised. a couple of french chemists, robiquet and colin, extracted from madder its active principle, alizarin, in , but it was not until forty years later that it was discovered that alizarin had for its base one of the coal-tar products, anthracene. then came a neck-and-neck race between perkin and his german rivals to see which could discover a cheap process for making alizarin from anthracene. the german chemists beat him to the patent office by one day! graebe and liebermann filed their application for a patent on the sulfuric acid process as no. on june , . perkin filed his for the same process as no. on june . it had required twenty years to determine the constitution of alizarin, but within six months from its first synthesis the commercial process was developed and within a few years the sale of artificial alizarin reached $ , , annually. the madder fields of france were put to other uses and even the french soldiers became dependent on made-in-germany dyes for their red trousers. the british soldiers were placed in a similar situation as regards their red coats when after the azo scarlets put the cochineal bug out of business. the modern chemist has robbed royalty of its most distinctive insignia, tyrian purple. in ancient times to be "porphyrogene," that is "born to the purple," was like admission to the almanach de gotha at the present time, for only princes or their wealthy rivals could afford to pay $ a pound for crimsoned linen. the precious dye is secreted by a snail-like shellfish of the eastern coast of the mediterranean. from a tiny sac behind the head a drop of thick whitish liquid, smelling like garlic, can be extracted. if this is spread upon cloth of any kind and exposed to air and sunlight it turns first green, next blue and then purple. if the cloth is washed with soap--that is, set by alkali--it becomes a fast crimson, such as catholic cardinals still wear as princes of the church. the phoenician merchants made fortunes out of their monopoly, but after the fall of tyre it became one of "the lost arts"--and accordingly considered by those whose faces are set toward the past as much more wonderful than any of the new arts. but in friedlander put an end to the superstition by analyzing tyrian purple and finding that it was already known. it was the same as a dye that had been prepared five years before by sachs but had not come into commercial use because of its inferiority to others in the market. it required , of the mollusks to supply the little material needed for analysis, but once the chemist had identified it he did not need to bother the murex further, for he could make it by the ton if he had wanted to. the coloring principle turned out to be a di-brom indigo, that is the same as the substance extracted from the indian plant, but with the addition of two atoms of bromine. why a particular kind of a shellfish should have got the habit of extracting this rare element from sea water and stowing it away in this peculiar form is "one of those things no fellow can find out." but according to the chemist the murex mollusk made a mistake in hitching the bromine to the wrong carbon atoms. he finds as he would word it that the : ' di-brom indigo secreted by the shellfish is not so good as the : ' di-brom indigo now manufactured at a cheap rate and in unlimited quantity. but we must not expect too much of a mollusk's mind. in their cheapness lies the offense of the aniline dyes in the minds of some people. our modern aristocrats would delight to be entitled "porphyrogeniti" and to wear exclusive gowns of "purple and scarlet from the isles of elishah" as was done in ezekiel's time, but when any shopgirl or sailor can wear the royal color it spoils its beauty in their eyes. applied science accomplishes a real democracy such as legislation has ever failed to establish. any kind of dye found in nature can be made in the laboratory whenever its composition is understood and usually it can be made cheaper and purer than it can be extracted from the plant. but to work out a profitable process for making it synthetically is sometimes a task requiring high skill, persistent labor and heavy expenditure. one of the latest and most striking of these achievements of synthetic chemistry is the manufacture of indigo. indigo is one of the oldest and fastest of the dyestuffs. to see that it is both ancient and lasting look at the unfaded blue cloths that enwrap an egyptian mummy. when caesar conquered our british ancestors he found them tattooed with woad, the native indigo. but the chief source of indigo was, as its name implies, india. in nearly a million acres in india were growing the indigo plant and the annual value of the crop was $ , , . then the fall began and by india was producing only $ , worth! what had happened to destroy this profitable industry? some blight or insect? no, it was simply that the badische anilin-und-soda fabrik had worked out a practical process for making artificial indigo. that indigo on breaking up gave off aniline was discovered as early as . in fact that was how aniline got its name, for when fritzsche distilled indigo with caustic soda he called the colorless distillate "aniline," from the arabic name for indigo, "anil" or "al-nil," that is, "the blue-stuff." but how to reverse the process and get indigo from aniline puzzled chemists for more than forty years until finally it was solved by adolf von baeyer of munich, who died in at the age of eighty-four. he worked on the problem of the constitution of indigo for fifteen years and discovered several ways of making it. it is possible to start from benzene, toluene or naphthalene. the first process was the easiest, but if you will refer to the products of the distillation of tar you will find that the amount of toluene produced is less than the naphthalene, which is hard to dispose of. that is, if a dye factory had worked out a process for making indigo from toluene it would not be practicable because there was not enough toluene produced to supply the demand for indigo. so the more complicated napthalene process was chosen in preference to the others in order to utilize this by-product. the badische anilin-und-soda fabrik spent $ , , and seventeen years in chemical research before they could make indigo, but they gained a monopoly (or, to be exact, ninety-six per cent.) of the world's production. a hundred years ago indigo cost as much as $ a pound. in we were paying fifteen cents a pound for it. even the pauper labor of india could not compete with the german chemists at that price. at the beginning of the present century germany was paying more than $ , , a year for indigo. fourteen years later germany was _selling_ indigo to the amount of $ , , . besides its cheapness, artificial indigo is preferable because it is of uniform quality and greater purity. vegetable indigo contains from forty to eighty per cent. of impurities, among them various other tinctorial substances. artificial indigo is made pure and of any desired strength, so the dyers can depend on it. the value of the aniline colors lies in their infinite variety. some are fast, some will fade, some will stand wear and weather as long as the fabric, some will wash out on the spot. dyes can be made that will attach themselves to wool, to silk or to cotton, and give it any shade of any color. the period of discovery by accident has long gone by. the chemist nowadays decides first just what kind of a dye he wants, and then goes to work systematically to make it. he begins by drawing a diagram of the molecule, double-linking nitrogen or carbon and oxygen atoms to give the required intensity, putting in acid or basic radicals to fasten it to the fiber, shifting the color back and forth along the spectrum at will by introducing methyl groups, until he gets it just to his liking. art can go ahead of nature in the dyestuff business. before man found that he could make all the dyes he wanted from the tar he had been burning up at home he searched the wide world over to find colors by which he could make himself--or his wife--garments as beautiful as those that arrayed the flower, the bird and the butterfly. he sent divers down into the mediterranean to rob the murex of his purple. he sent ships to the new world to get brazil wood and to the oldest world for indigo. he robbed the lady cochineal of her scarlet coat. why these peculiar substances were formed only by these particular plants, mussels and insects it is hard to understand. i don't know that mrs. cacti coccus derived any benefit from her scarlet uniform when khaki would be safer, and i can't imagine that to a shellfish it was of advantage to turn red as it rots or to an indigo plant that its leaves in decomposing should turn blue. but anyhow, it was man that took advantage of them until he learned how to make his own dyestuffs. our independent ancestors got along so far as possible with what grew in the neighborhood. sweetapple bark gave a fine saffron yellow. ribbons were given the hue of the rose by poke berry juice. the confederates in their butternut-colored uniform were almost as invisible as if in khaki or _feldgrau_. madder was cultivated in the kitchen garden. only logwood from jamaica and indigo from india had to be imported. that we are not so independent today is our own fault, for we waste enough coal tar to supply ourselves and other countries with all the new dyes needed. it is essentially a question of economy and organization. we have forgotten how to economize, but we have learned how to organize. the british government gave the discoverer of mauve a title, but it did not give him any support in his endeavors to develop the industry, although england led the world in textiles and needed more dyes than any other country. so in sir william perkin relinquished the attempt to manufacture the dyes he had discovered because, as he said, oxford and cambridge refused to educate chemists or to carry on research. their students, trained in the classics for the profession of being a gentleman, showed a decided repugnance to the laboratory on account of its bad smells. so when hofmann went home he virtually took the infant industry along with him to germany, where ph.d.'s were cheap and plentiful and not afraid of bad smells. there the business throve amazingly, and by the germans were manufacturing more than three-fourths of all the coal-tar products of the world and supplying material for most of the rest. the british cursed the universities for thus imperiling the nation through their narrowness and neglect; but this accusation, though natural, was not altogether fair, for at least half the blame should go to the british dyer, who did not care where his colors came from, so long as they were cheap. when finally the universities did turn over a new leaf and began to educate chemists, the manufacturers would not employ them. before the war six english factories producing dyestuffs employed only chemists altogether, while one german color works, the höchster farbwerke, employed expert chemists and technologists. this firm united with the six other leading dye companies of germany on january , , to form a trust to last for fifty years. during this time they will maintain uniform prices and uniform wage scales and hours of labor, and exchange patents and secrets. they will divide the foreign business _pro rata_ and share the profits. the german chemical works made big profits during the war, mostly from munitions and medicines, and will be, through this new combination, in a stronger position than ever to push the export trade. as a consequence of letting the dye business get away from her, england found herself in a fix when war broke out. she did not have dyes for her uniforms and flags, and she did not have drugs for her wounded. she could not take advantage of the blockade to capture the german trade in asia and south america, because she could not color her textiles. a blue cotton dyestuff that sold before the war at sixty cents a pound, brought $ a pound. a bright pink rhodamine formerly quoted at a dollar a pound jumped to $ . when one keg of dye ordinarily worth $ was put up at forced auction sale in it was knocked down at $ . the highlanders could not get the colors for their kilts until some german dyes were smuggled into england. the textile industries of great britain, that brought in a billion dollars a year and employed one and a half million workers, were crippled for lack of dyes. the demand for high explosives from the front could not be met because these also are largely coal-tar products. picric acid is both a dye and an explosive. it is made from carbolic acid and the famous trinitrotoluene is made from toluene, both of which you will find in the list of the ten fundamental "crudes." both great britain and the united states realized the danger of allowing germany to recover her former monopoly, and both have shown a readiness to cast overboard their traditional policies to meet this emergency. the british government has discovered that a country without a tariff is a land without walls. the american government has discovered that an industry is not benefited by being cut up into small pieces. both governments are now doing all they can to build up big concerns and to provide them with protection. the british government assisted in the formation of a national company for the manufacture of synthetic dyes by taking one-sixth of the stock and providing $ , for a research laboratory. but this effort is now reported to be "a great failure" because the government put it in charge of the politicians instead of the chemists. the united states, like england, had become dependent upon germany for its dyestuffs. we imported nine-tenths of what we used and most of those that were produced here were made from imported intermediates. when the war broke out there were only seven firms and persons employed in the manufacture of dyes in the united states. one of these, the schoelkopf aniline and chemical works, of buffalo, deserves mention, for it had stuck it out ever since , and in was making dyes. in june, , this firm, with the encouragement of the government bureau of foreign and domestic commerce, joined with some of the other american producers to form a trade combination, the national aniline and chemical company. the du pont company also entered the field on an extensive scale and soon there were concerns engaged in it with great profit. during the war $ , , was invested in the domestic dyestuff industry. to protect this industry congress put on a specific duty of five cents a pound and an ad valorem duty of per cent. on imported dyestuffs; but if, after five years, american manufacturers are not producing per cent. in value of the domestic consumption, the protection is to be removed. for some reason, not clearly understood and therefore hotly discussed, congress at the last moment struck off the specific duty from two of the most important of the dyestuffs, indigo and alizarin, as well as from all medicinals and flavors. the manufacture of dyes is not a big business, but it is a strategic business. heligoland is not a big island, but england would have been glad to buy it back during the war at a high price per square yard. american industries employing over two million men and women and producing over three billion dollars' worth of products a year are dependent upon dyes. chief of these is of course textiles, using more than half the dyes; next come leather, paper, paint and ink. we have been importing more than $ , , worth of coal-tar products a year, but the cottonseed oil we exported in would alone suffice to pay that bill twice over. but although the manufacture of dyes cannot be called a big business, in comparison with some others, it is a paying business when well managed. the german concerns paid on an average per cent. dividends on their capital and sometimes as high as per cent. most of the standard dyes have been so long in use that the patents are off and the processes are well enough known. we have the coal tar and we have the chemists, so there seems no good reason why we should not make our own dyes, at least enough of them so we will not be caught napping as we were in . it was decidedly humiliating for our government to have to beg germany to sell us enough colors to print our stamps and greenbacks and then have to beg great britain for permission to bring them over by dutch ships. the raw material for the production of coal-tar products we have in abundance if we will only take the trouble to save it. in the crude light oil collected from the coke-ovens would have produced only about , , gallons of benzol and , , gallons of toluol, but in this output was raised to , , gallons of benzol and , , of toluol. the toluol was used mostly in the manufacture of trinitrotoluol for use in europe. when the war broke out in it shut off our supply of phenol (carbolic acid) for which we were dependent upon foreign sources. this threatened not only to afflict us with headaches by depriving us of aspirin but also to removed the consolation of music, for phenol is used in making phonographic records. mr. edison with his accustomed energy put up a factory within a few weeks for the manufacture of synthetic phenol. when we entered the war the need for phenol became yet more imperative, for it was needed to make picric acid for filling bombs. this demand was met, and in there were fifteen new plants turning out , , pounds of phenol valued at $ , , . some of the coal-tar products, as we see, serve many purposes. for instance, picric acid appears in three places in this book. it is a high explosive. it is a powerful and permanent yellow dye as any one who has touched it knows. thirdly it is used as an antiseptic to cover burned skin. other coal-tar dyes are used for the same purpose, "malachite green," "brilliant green," "crystal violet," "ethyl violet" and "victoria blue," so a patient in a military hospital is decorated like an easter egg. during the last five years surgeons have unfortunately had unprecedented opportunities for the study of wounds and fortunately they have been unprecedentedly successful in finding improved methods of treating them. in former wars a serious wound meant usually death or amputation. now nearly ninety per cent. of the wounded are able to continue in the service. the reason for this improvement is that medicines are now being made to order instead of being gathered "from china to peru." the old herb doctor picked up any strange plant that he could find and tried it on any sick man that would let him. this empirical method, though hard on the patients, resulted in the course of five thousand years in the discovery of a number of useful remedies. but the modern medicine man when he knows the cause of the disease is usually able to devise ways of counteracting it directly. for instance, he knows, thanks to pasteur and metchnikoff, that the cause of wound infection is the bacterial enemies of man which swarm by the million into any breach in his protective armor, the skin. now when a breach is made in a line of intrenchments the defenders rush troops to the threatened spot for two purposes, constructive and destructive, engineers and warriors, the former to build up the rampart with sandbags, the latter to kill the enemy. so when the human body is invaded the blood brings to the breach two kinds of defenders. one is the serum which neutralizes the bacterial poison and by coagulating forms a new skin or scab over the exposed flesh. the other is the phagocytes or white corpuscles, the free lances of our corporeal militia, which attack and kill the invading bacteria. the aim of the physician then is to aid these defenders as much as possible without interfering with them. therefore the antiseptic he is seeking is one that will assist the serum in protecting and repairing the broken tissues and will kill the hostile bacteria without killing the friendly phagocytes. carbolic acid, the most familiar of the coal-tar antiseptics, will destroy the bacteria when it is diluted with parts of water, but unfortunately it puts a stop to the fighting activities of the phagocytes when it is only half that strength, or one to , so it cannot destroy the infection without hindering the healing. in this search for substances that would attack a specific disease germ one of the leading investigators was prof. paul ehrlich, a german physician of the hebrew race. he found that the aniline dyes were useful for staining slides under the microscope, for they would pick out particular cells and leave others uncolored and from this starting point he worked out organic and metallic compounds which would destroy the bacteria and parasites that cause some of the most dreadful of diseases. a year after the war broke out professor ehrlich died while working in his laboratory on how to heal with coal-tar compounds the wounds inflicted by explosives from the same source. one of the most valuable of the aniline antiseptics employed by ehrlich is flavine or, if the reader prefers to call it by its full name, diaminomethylacridinium chloride. flavine, as its name implies, is a yellow dye and will kill the germs causing ordinary abscesses when in solution as dilute as one part of the dye to , parts of water, but it does not interfere with the bactericidal action of the white blood corpuscles unless the solution is times as strong as this, that is one part in . unlike carbolic acid and other antiseptics it is said to stimulate the serum instead of impairing its activity. another antiseptic of the coal-tar family which has recently been brought into use by dr. dakin of the rockefeller institute is that called by european physicians chloramine-t and by american physicians chlorazene and by chemists para-toluene-sodium-sulfo-chloramide. this may serve to illustrate how a chemist is able to make such remedies as the doctor needs, instead of depending upon the accidental by-products of plants. on an earlier page i explained how by starting with the simplest of ring-compounds, the benzene of coal tar, we could get aniline. suppose we go a step further and boil the aniline oil with acetic acid, which is the acid of vinegar minus its water. this easy process gives us acetanilid, which when introduced into the market some years ago under the name of "antifebrin" made a fortune for its makers. the making of medicines from coal tar began in when kolbe made salicylic acid from carbolic acid. salicylic acid is a rheumatism remedy and had previously been extracted from willow bark. if now we treat salicylic acid with concentrated acetic acid we get "aspirin." from aniline again are made "phenacetin," "antipyrin" and a lot of other drugs that have become altogether too popular as headache remedies--say rather "headache relievers." another class of synthetics equally useful and likewise abused, are the soporifics, such as "sulphonal," "veronal" and "medinal." when it is not desired to put the patient to sleep but merely to render insensible a particular place, as when a tooth is to be pulled, cocain may be used. this, like alcohol and morphine, has proved a curse as well as a blessing and its sale has had to be restricted because of the many victims to the habit of using this drug. cocain is obtained from the leaves of the south american coca tree, but can be made artificially from coal-tar products. the laboratory is superior to the forest because other forms of local anesthetics, such as eucain and novocain, can be made that are better than the natural alkaloid because more effective and less poisonous. i must not forget to mention another lot of coal-tar derivatives in which some of my readers will take a personal interest. that is the photographic developers. i am old enough to remember when we used to develop our plates in ferrous sulfate solution and you never saw nicer negatives than we got with it. but when pyrogallic acid came in we switched over to that even though it did stain our fingers and sometimes our plates. later came a swarm of new organic reducing agents under various fancy names, such as metol, hydro (short for hydro-quinone) and eikongen ("the image-maker"). every fellow fixed up his own formula and called his fellow-members of the camera club fools for not adopting it though he secretly hoped they would not. under the double stimulus of patriotism and high prices the american drug and dyestuff industry developed rapidly. in about as many pounds of dyes were manufactured in america as were imported in and our _exports_ of american-made dyes exceeded in value our _imports_ before the war. in the output of american dyes was valued at $ , , . in it amounted to over $ , , . this does not mean that the problem was solved, for the home products were not equal in variety and sometimes not in quality to those made in germany. many valuable dyes were lacking and the cost was of course much higher. whether the american industry can compete with the foreign in an open market and on equal terms is impossible to say because such conditions did not prevail before the war and they are not going to prevail in the future. formerly the large german cartels through their agents and branches in this country kept the business in their own hands and now the american manufacturers are determined to maintain the independence they have acquired. they will not depend hereafter upon the tariff to cut off competition but have adopted more effective measures. the german chemical patents that had been seized by the alien property custodian were sold by him for $ , to the chemical foundation, an association of american manufacturers organized "for the americanization of such institutions as may be affected thereby, for the exclusion or elimination of alien interests hostile or detrimental to said industries and for the advancement of chemical and allied science and industry in the united states." the foundation has a large fighting fund so that it "may be able to commence immediately and prosecute with the utmost vigor infringement proceedings whenever the first german attempt shall hereafter be made to import into this country." so much mystery has been made of the achievements of german chemists--as though the teutonic brain had a special lobe for that faculty, lacking in other craniums--that i want to quote what dr. hesse says about his first impressions of a german laboratory of industrial research: directly after graduating from the university of chicago in , i entered the employ of the largest coal-tar dye works in the world at its plant in germany and indeed in one of its research laboratories. this was my first trip outside the united states and it was, of course, an event of the first magnitude for me to be in europe, and, as a chemist, to be in germany, in a german coal-tar dye plant, and to cap it all in its research laboratory--a real _sanctum sanctorum_ for chemists. in a short time the daily routine wore the novelty off my experience and i then settled down to calm analysis and dispassionate appraisal of my surroundings and to compare what was actually before and around me with my expectations. i found that the general laboratory equipment was no better than what i had been accustomed to; that my colleagues had no better fundamental training than i had enjoyed nor any better fact--or manipulative--equipment than i; that those in charge of the work had no better general intellectual equipment nor any more native ability than had my instructors; in short, there was nothing new about it all, nothing that we did not have back home, nothing--except the specific problems that were engaging their attention, and the special opportunities of attacking them. those problems were of no higher order of complexity than those i had been accustomed to for years, in fact, most of them were not very complex from a purely intellectual viewpoint. there was nothing inherently uncanny, magical or wizardly about their occupation whatever. it was nothing but plain hard work and keeping everlastingly at it. now, what was the actual thing behind that chemical laboratory that we did not have at home? it was money, willing to back such activity, convinced that in the final outcome, a profit would be made; money, willing to take university graduates expecting from them no special knowledge other than a good and thorough grounding in scientific research and provide them with opportunity to become specialists suited to the factory's needs. it is evidently not impossible to make the united states self-sufficient in the matter of coal-tar products. we've got the tar; we've got the men; we've got the money, too. whether such a policy would pay us in the long run or whether it is necessary as a measure of military or commercial self-defense is another question that cannot here be decided. but whatever share we may have in it the coal-tar industry has increased the economy of civilization and added to the wealth of the world by showing how a waste by-product could be utilized for making new dyes and valuable medicines, a better use for tar than as fuel for political bonfires and as clothing for the nakedness of social outcasts. v synthetic perfumes and flavors the primitive man got his living out of such wild plants and animals as he could find. next he, or more likely his wife, began to cultivate the plants and tame the animals so as to insure a constant supply. this was the first step toward civilization, for when men had to settle down in a community (_civitas_) they had to ameliorate their manners and make laws protecting land and property. in this settled and orderly life the plants and animals improved as well as man and returned a hundredfold for the pains that their master had taken in their training. but still man was dependent upon the chance bounties of nature. he could select, but he could not invent. he could cultivate, but he could not create. if he wanted sugar he had to send to the west indies. if he wanted spices he had to send to the east indies. if he wanted indigo he had to send to india. if he wanted a febrifuge he had to send to peru. if he wanted a fertilizer he had to send to chile. if he wanted rubber he had to send to the congo. if he wanted rubies he had to send to mandalay. if he wanted otto of roses he had to send to turkey. man was not yet master of his environment. this period of cultivation, the second stage of civilization, began before the dawn of history and lasted until recent times. we might almost say up to the twentieth century, for it was not until the fundamental laws of heredity were discovered that man could originate new species of plants and animals according to a predetermined plan by combining such characteristics as he desired to perpetuate. and it was not until the fundamental laws of chemistry were discovered that man could originate new compounds more suitable to his purpose than any to be found in nature. since the progress of mankind is continuous it is impossible to draw a date line, unless a very jagged one, along the frontier of human culture, but it is evident that we are just entering upon the third era of evolution in which man will make what he needs instead of trying to find it somewhere. the new epoch has hardly dawned, yet already a man may stay at home in new york or london and make his own rubber and rubies, his own indigo and otto of roses. more than this, he can make gems and colors and perfumes that never existed since time began. the man of science has signed a declaration of independence of the lower world and we are now in the midst of the revolution. our eyes are dazzled by the dawn of the new era. we know what the hunter and the horticulturist have already done for man, but we cannot imagine what the chemist can do. if we look ahead through the eyes of one of the greatest of french chemists, berthelot, this is what we shall see: the problem of food is a chemical problem. whenever energy can be obtained economically we can begin to make all kinds of aliment, with carbon borrowed from carbonic acid, hydrogen taken from the water and oxygen and nitrogen drawn from the air.... the day will come when each person will carry for his nourishment his little nitrogenous tablet, his pat of fatty matter, his package of starch or sugar, his vial of aromatic spices suited to his personal taste; all manufactured economically and in unlimited quantities; all independent of irregular seasons, drought and rain, of the heat that withers the plant and of the frost that blights the fruit; all free from pathogenic microbes, the origin of epidemics and the enemies of human life. on that day chemistry will have accomplished a world-wide revolution that cannot be estimated. there will no longer be hills covered with vineyards and fields filled with cattle. man will gain in gentleness and morality because he will cease to live by the carnage and destruction of living creatures.... the earth will be covered with grass, flowers and woods and in it the human race will dwell in the abundance and joy of the legendary age of gold--provided that a spiritual chemistry has been discovered that changes the nature of man as profoundly as our chemistry transforms material nature. but this is looking so far into the future that we can trust no man's eyesight, not even berthelot's. there is apparently no impossibility about the manufacture of synthetic food, but at present there is no apparent probability of it. there is no likelihood that the laboratory will ever rival the wheat field. the cornstalk will always be able to work cheaper than the chemist in the manufacture of starch. but in rarer and choicer products of nature the chemist has proved his ability to compete and even to excel. what have been from the dawn of history to the rise of synthetic chemistry the most costly products of nature? what could tempt a merchant to brave the perils of a caravan journey over the deserts of asia beset with arab robbers? what induced the portuguese and spanish mariners to risk their frail barks on perilous waters of the cape of good hope or the horn? the chief prizes were perfumes, spices, drugs and gems. and why these rather than what now constitutes the bulk of oversea and overland commerce? because they were precious, portable and imperishable. if the merchant got back safe after a year or two with a little flask of otto of roses, a package of camphor and a few pearls concealed in his garments his fortune was made. if a single ship of the argosy sent out from lisbon came back with a load of sandalwood, indigo or nutmeg it was regarded as a successful venture. you know from reading the bible, or if not that, from your reading of arabian nights, that a few grains of frankincense or a few drops of perfumed oil were regarded as gifts worthy the acceptance of a king or a god. these products of the orient were equally in demand by the toilet and the temple. the unctorium was an adjunct of the roman bathroom. kings had to be greased and fumigated before they were thought fit to sit upon a throne. there was a theory, not yet altogether extinct, that medicines brought from a distance were most efficacious, especially if, besides being expensive, they tasted bad like myrrh or smelled bad like asafetida. and if these failed to save the princely patient he was embalmed in aromatics or, as we now call them, antiseptics of the benzene series. today, as always, men are willing to pay high for the titillation of the senses of smell and taste. the african savage will trade off an ivory tusk for a piece of soap reeking with synthetic musk. the clubman will pay $ for a bottle of wine which consists mostly of water with about ten per cent. of alcohol, worth a cent or two, but contains an unweighable amount of the "bouquet" that can only be produced on the sunny slopes of champagne or in the valley of the rhine. but very likely the reader is quite as extravagant, for when one buys the natural violet perfumery he is paying at the rate of more than $ , a pound for the odoriferous oil it contains; the rest is mere water and alcohol. but you would not want the pure undiluted oil if you could get it, for it is unendurable. a single whiff of it paralyzes your sense of smell for a time just as a loud noise deafens you. of the five senses, three are physical and two chemical. by touch we discern pressures and surface textures. by hearing we receive impressions of certain air waves and by sight of certain ether waves. but smell and taste lead us to the heart of the molecule and enable us to tell how the atoms are put together. these twin senses stand like sentries at the portals of the body, where they closely scrutinize everything that enters. sounds and sights may be disagreeable, but they are never fatal. a man can live in a boiler factory or in a cubist art gallery, but he cannot live in a room containing hydrogen sulfide. since it is more important to be warned of danger than guided to delights our senses are made more sensitive to pain than pleasure. we can detect by the smell one two-millionth of a milligram of oil of roses or musk, but we can detect one two-billionth of a milligram of mercaptan, which is the vilest smelling compound that man has so far invented. if you do not know how much a milligram is consider a drop picked up by the point of a needle and imagine that divided into two billion parts. also try to estimate the weight of the odorous particles that guide a dog to the fox or warn a deer of the presence of man. the unaided nostril can rival the spectroscope in the detection and analysis of unweighable amounts of matter. what we call flavor or savor is a joint effect of taste and odor in which the latter predominates. there are only four tastes of importance, acid, alkaline, bitter and sweet. the acid, or sour taste, is the perception of hydrogen atoms charged with positive electricity. the alkaline, or soapy taste, is the perception of hydroxyl radicles charged with negative electricity. the bitter and sweet tastes and all the odors depend upon the chemical constitution of the compound, but the laws of the relation have not yet been worked out. since these sense organs, the taste and smell buds, are sunk in the moist mucous membrane they can only be touched by substances soluble in water, and to reach the sense of smell they must also be volatile so as to be diffused in the air inhaled by the nose. the "taste" of food is mostly due to the volatile odors of it that creep up the back-stairs into the olfactory chamber. a chemist given an unknown substance would have to make an elementary analysis and some tedious tests to determine whether it contained methyl or ethyl groups, whether it was an aldehyde or an ester, whether the carbon atoms were singly or doubly linked and whether it was an open chain or closed. but let him get a whiff of it and he can give instantly a pretty shrewd guess as to these points. his nose knows. although the chemist does not yet know enough to tell for certain from looking at the structural formula what sort of odor the compound would have or whether it would have any, yet we can divide odoriferous substances into classes according to their constitution. what are commonly known as "fruity" odors belong mostly to what the chemist calls the fatty or aliphatic series. for instance, we may have in a ripe fruit an alcohol (say ethyl or common alcohol) and an acid (say acetic or vinegar) and a combination of these, the ester or organic salt (in this case ethyl acetate), which is more odorous than either of its components. these esters of the fatty acids give the characteristic savor to many of our favorite fruits, candies and beverages. the pear flavor, amyl acetate, is made from acetic acid and amyl alcohol--though amyl alcohol (fusel oil) has a detestable smell. pineapple is ethyl butyrate--but the acid part of it (butyric acid) is what gives limburger cheese its aroma. these essential oils are easily made in the laboratory, but cannot be extracted from the fruit for separate use. if the carbon chain contains one or more double linkages we get the "flowery" perfumes. for instance, here is the symbol of geraniol, the chief ingredient of otto of roses: (ch_{ })_{ }c = chch_{ }ch_{ }c(ch_{ })_{ } = chch_{ }oh the rose would smell as sweet under another name, but it may be questioned whether it would stand being called by the name of dimethyl- - -octadiene- - -ol- . geraniol by oxidation goes into the aldehyde, citral, which occurs in lemons, oranges and verbena flowers. another compound of this group, linalool, is found in lavender, bergamot and many flowers. geraniol, as you would see if you drew up its structural formula in the way i described in the last chapter, contains a chain of six carbon atoms, that is, the same number as make a benzene ring. now if we shake up geraniol and other compounds of this group (the diolefines) with diluted sulfuric acid the carbon chain hooks up to form a benzene ring, but with the other carbon atoms stretched across it; rather too complicated to depict here. these "bridged rings" of the formula c_{ }h_{ }, or some multiple of that, constitute the important group of the terpenes which occur in turpentine and such wild and woodsy things as sage, lavender, caraway, pine needles and eucalyptus. going further in this direction we are led into the realm of the heavy oriental odors, patchouli, sandalwood, cedar, cubebs, ginger and camphor. camphor can now be made directly from turpentine so we may be independent of formosa and borneo. when we have a six carbon ring without double linkings (cyclo-aliphatic) or with one or two such, we get soft and delicate perfumes like the violet (ionone and irone). but when these pass into the benzene ring with its three double linkages the odor becomes more powerful and so characteristic that the name "aromatic compound" has been extended to the entire class of benzene derivatives, although many of them are odorless. the essential oils of jasmine, orange blossoms, musk, heliotrope, tuberose, ylang ylang, etc., consist mostly of this class and can be made from the common source of aromatic compounds, coal tar. the synthetic flavors and perfumes are made in the same way as the dyes by starting with some coal-tar product or other crude material and building up the molecule to the desired complexity. for instance, let us start with phenol, the ill-smelling and poisonous carbolic acid of disagreeable associations and evil fame. treat this to soda-water and it is transformed into salicylic acid, a white odorless powder, used as a preservative and as a rheumatism remedy. add to this methyl alcohol which is obtained by the destructive distillation of wood and is much more poisonous than ordinary ethyl alcohol. the alcohol and the acid heated together will unite with the aid of a little sulfuric acid and we get what the chemist calls methyl salicylate and other people call oil of wintergreen, the same as is found in wintergreen berries and birch bark. we have inherited a taste for this from our pioneer ancestors and we use it extensively to flavor our soft drinks, gum, tooth paste and candy, but the europeans have not yet found out how nice it is. but, starting with phenol again, let us heat it with caustic alkali and chloroform. this gives us two new compounds of the same composition, but differing a little in the order of the atoms. if you refer back to the diagram of the benzene ring which i gave in the last chapter, you will see that there are six hydrogen atoms attached to it. now any or all these hydrogen atoms may be replaced by other elements or groups and what the product is depends not only on what the new elements are, but where they are put. it is like spelling words. the three letters _t_, _r_ and _a_ mean very different things according to whether they are put together as _art_, _tar_ or _rat_. or, to take a more apposite illustration, every hostess knows that the success of her dinner depends upon how she seats her guests around the table. so in the case of aromatic compounds, a little difference in the seating arrangement around the benzene ring changes the character. the two derivatives of phenol, which we are now considering, have two substituting groups. one is--o-h (called the hydroxyl group). the other is--cho (called the aldehyde group). if these are opposite (called the para position) we have an odorless white solid. if they are side by side (called the ortho position) we have an oil with the odor of meadowsweet. treating the odorless solid with methyl alcohol we get audepine (or anisic aldehyde) which is the perfume of hawthorn blossoms. but treating the other of the twin products, the fragrant oil, with dry acetic acid ("perkin's reaction") we get cumarin, which is the perfume part of the tonka or tonquin beans that our forefathers used to carry in their snuff boxes. one ounce of cumarin is equal to four pounds of tonka beans. it smells sufficiently like vanilla to be used as a substitute for it in cheap extracts. in perfumery it is known as "new mown hay." you may remember what i said on a former page about the career of william henry perkin, the boy who loved chemistry better than eating, and how he discovered the coal-tar dyes. well, it is also to his ingenious mind that we owe the starting of the coal-tar perfume business which has had almost as important a development. perkin made cumarin in , but this, like the dye industry, escaped from english hands and flew over the north sea. before the war germany was exporting $ , , worth of synthetic perfumes a year. part of these went to france, where they were mixed and put up in fancy bottles with french names and sold to americans at fancy prices. the real vanilla flavor, vanillin, was made by tiemann in . at first it sold for nearly $ a pound, but now it may be had for $ . how extensively it is now used in chocolate, ice cream, soda water, cakes and the like we all know. it should be noted that cumarin and vanillin, however they may be made, are not imitations, but identical with the chief constituent of the tonka and vanilla beans and, of course, are equally wholesome or harmless. but the nice palate can distinguish a richer flavor in the natural extracts, for they contain small quantities of other savory ingredients. a true perfume consists of a large number of odoriferous chemical compounds mixed in such proportions as to produce a single harmonious effect upon the sense of smell in a fine brand of perfume may be compounded a dozen or twenty different ingredients and these, if they are natural essences, are complex mixtures of a dozen or so distinct substances. perfumery is one of the fine arts. the perfumer, like the orchestra leader, must know how to combine and coördinate his instruments to produce a desired sensation. a wagnerian opera requires musicians. a strauss opera requires . now if the concert manager wants to economize he will insist upon cutting down on the most expensive musicians and dropping out some of the others, say, the supernumerary violinists and the man who blows a single blast or tinkles a triangle once in the course of the evening. only the trained ear will detect the difference and the manager can make more money. suppose our mercenary impresario were unable to get into the concert hall of his famous rival. he would then listen outside the window and analyze the sound in this fashion: "fifty per cent. of the sound is made by the tuba, per cent. by the bass drum, per cent. by the 'cello and per cent. by the clarinet. there are some other instruments, but they are not loud and i guess if we can leave them out nobody will know the difference." so he makes up his orchestra out of these four alone and many people do not know the difference. the cheap perfumer goes about it in the same way. he analyzes, for instance, the otto or oil of roses which cost during the war $ a pound--if you could get it at any price--and he finds that the chief ingredient is geraniol, costing only $ , and next is citronelol, costing $ ; then comes nerol and others. so he makes up a cheap brand of perfumery out of three or four such compounds. but the genuine oil of roses, like other natural essences, contains a dozen or more constituents and to leave many of them out is like reducing an orchestra to a few loud-sounding instruments or a painting to a three-color print. a few years ago an attempt was made to make music electrically by producing separately each kind of sound vibration contained in the instruments imitated. theoretically that seems easy, but practically the tone was not satisfactory because the tones and overtones of a full orchestra or even of a single violin are too numerous and complex to be reproduced individually. so the synthetic perfumes have not driven out the natural perfumes, but, on the contrary, have aided and stimulated the growth of flowers for essences. the otto or attar of roses, favorite of the persian monarchs and romances, has in recent years come chiefly from bulgaria. but wars are not made with rosewater and the bulgars for the last five years have been engaged in other business than cultivating their own gardens. the alembic or still was invented by the arabian alchemists for the purpose of obtaining the essential oil or attar of roses. but distillation, even with the aid of steam, is not altogether satisfactory. for instance, the distilled rose oil contains anywhere from to per cent. of a paraffin wax (stearopten) that is odorless and, on the other hand, phenyl-ethyl alcohol, which is an important constituent of the scent of roses, is broken up in the process of distillation. so the perfumer can improve on the natural or rather the distilled oil by leaving out part of the paraffin and adding the missing alcohol. even the imported article taken direct from the still is not always genuine, for the wily bulgar sometimes "increases the yield" by sprinkling his roses in the vat with synthetic geraniol just as the wily italian pours a barrel of american cottonseed oil over his olives in the press. another method of extracting the scent of flowers is by _enfleurage_, which takes advantage of the tendency of fats to absorb odors. you know how butter set beside fish in the ice box will get a fishy flavor. in _enfleurage_ moist air is carried up a tower passing alternately over trays of fresh flowers, say violets, and over glass plates covered with a thin layer of lard. the perfumed lard may then be used as a pomade or the perfume may be extracted by alcohol. but many sweet flowers do not readily yield an essential oil, so in such oases we have to rely altogether upon more or less successful substitutes. for instance, the perfumes sold under the names of "heliotrope," "lily of the valley," "lilac," "cyclamen," "honeysuckle," "sweet pea," "arbutus," "mayflower" and "magnolia" are not produced from these flowers but are simply imitations made from other essences, synthetic or natural. among the "thousand flowers" that contribute to the "eau de mille fleurs" are the civet cat, the musk deer and the sperm whale. some of the published formulas for "jockey club" call for civet or ambergris and those of "lavender water" for musk and civet. the less said about the origin of these three animal perfumes the better. fortunately they are becoming too expensive to use and are being displaced by synthetic products more agreeable to a refined imagination. the musk deer may now be saved from extinction since we can make tri-nitro-butyl-xylene from coal tar. this synthetic musk passes muster to human nostrils, but a cat will turn up her nose at it. the synthetic musk is not only much cheaper than the natural, but a dozen times as strong, or let us say, goes a dozen times as far, for nobody wants it any stronger. such powerful scents as these are only pleasant when highly diluted, yet they are, as we have seen, essential ingredients of the finest perfumes. for instance, the natural oil of jasmine and other flowers contain traces of indols and skatols which have most disgusting odors. though our olfactory organs cannot detect their presence yet we perceive their absence so they have to be put into the artificial perfume. just so a brief but violent discord in a piece of music or a glaring color contrast in a painting may be necessary to the harmony of the whole. it is absurd to object to "artificial" perfumes, for practically all perfumes now sold are artificial in the sense of being compounded by the art of the perfumer and whether the materials he uses are derived from the flowers of yesteryear or of carboniferous era is nobody's business but his. and he does not tell. the materials can be purchased in the open market. various recipes can be found in the books. but every famous perfumer guards well the secret of his formulas and hands it as a legacy to his posterity. the ancient roman family of frangipani has been made immortal by one such hereditary recipe. the farina family still claims to have the exclusive knowledge of how to make eau de cologne. this famous perfume was first compounded by an italian, giovanni maria farina, who came to cologne in . it soon became fashionable and was for a time the only scent allowed at some of the german courts. the various published recipes contain from six to a dozen ingredients, chiefly the oils of neroli, rosemary, bergamot, lemon and lavender dissolved in very pure alcohol and allowed to age like wine. the invention, in , of artificial neroli (orange flowers) has improved the product. french perfumery, like the german, had its origin in italy, when catherine de' medici came to paris as the bride of henri ii. she brought with her, among other artists, her perfumer, sieur toubarelli, who established himself in the flowery land of grasse. here for four hundred years the industry has remained rooted and the family formulas have been handed down from generation to generation. in the city of grasse there were at the outbreak of the war fifty establishments making perfumes. the french perfumer does not confine himself to a single sense. he appeals as well to sight and sound and association. he adds to the attractiveness of his creation by a quaintly shaped bottle, an artistic box and an enticing name such as "dans les nues," "le coeur de jeannette," "nuit de chine," "un air embaumé," "le vertige," "bon vieux temps," "l'heure bleue," "nuit d'amour," "quelques fleurs," "djer-kiss." the requirements of a successful scent are very strict. a perfume must be lasting, but not strong. all its ingredients must continue to evaporate in the same proportion, otherwise it will change odor and deteriorate. scents kill one another as colors do. the minutest trace of some impurity or foreign odor may spoil the whole effect. to mix the ingredients in a vessel of any metal but aluminum or even to filter through a tin funnel is likely to impair the perfume. the odoriferous compounds are very sensitive and unstable bodies, otherwise they would have no effect upon the olfactory organ. the combination that would be suitable for a toilet water would not be good for a talcum powder and might spoil in a soap. perfumery is used even in the "scentless" powders and soaps. in fact it is now used more extensively, if less intensively, than ever before in the history of the world. during the unwashed ages, commonly called the dark ages, between the destruction of the roman baths and the construction of the modern bathroom, the art of the perfumer, like all the fine arts, suffered an eclipse. "the odor of sanctity" was in highest esteem and what that odor was may be imagined from reading the lives of the saints. but in the course of centuries the refinements of life began to seep back into europe from the east by means of the arabs and crusaders, and chemistry, then chiefly the art of cosmetics, began to revive. when science, the greatest democratizing agent on earth, got into action it elevated the poor to the ranks of kings and priests in the delights of the palate and the nose. we should not despise these delights, for the pleasure they confer is greater, in amount at least, than that of the so-called higher senses. we eat three times a day; some of us drink oftener; few of us visit the concert hall or the art gallery as often as we do the dining room. then, too, these primitive senses have a stronger influence upon our emotional nature than those acquired later in the course of evolution. as kipling puts it: smells are surer than sounds or sights to make your heart-strings crack. vi cellulose organic compounds, on which our life and living depend, consist chiefly of four elements: carbon, hydrogen, oxygen and nitrogen. these compounds are sometimes hard to analyze, but when once the chemist has ascertained their constitution he can usually make them out of their elements--if he wants to. he will not want to do it as a business unless it pays and it will not pay unless the manufacturing process is cheaper than the natural process. this depends primarily upon the cost of the crude materials. what, then, is the market price of these four elements? oxygen and nitrogen are free as air, and as we have seen in the second chapter, their direct combination by the electric spark is possible. hydrogen is free in the form of water but expensive to extricate by means of the electric current. but we need more carbon than anything else and where shall we get that? bits of crystallized carbon can be picked up in south africa and elsewhere, but those who can afford to buy them prefer to wear them rather than use them in making synthetic food. graphite is rare and hard to melt. we must then have recourse to the compounds of carbon. the simplest of these, carbon dioxide, exists in the air but only four parts in ten thousand by volume. to extract the carbon and get it into combination with the other elements would be a difficult and expensive process. here, then, we must call in cheap labor, the cheapest of all laborers, the plants. pine trees on the highlands and cotton plants on the lowlands keep their green traps set all the day long and with the captured carbon dioxide build up cellulose. if, then, man wants free carbon he can best get it by charring wood in a kiln or digging up that which has been charred in nature's kiln during the carboniferous era. but there is no reason why he should want to go back to elemental carbon when he can have it already combined with hydrogen in the remains of modern or fossil vegetation. the synthetic products on which modern chemistry prides itself, such as vanillin, camphor and rubber, are not built up out of their elements, c, h and o, although they might be as a laboratory stunt. instead of that the raw material of the organic chemist is chiefly cellulose, or the products of its recent or remote destructive distillation, tar and oil. it is unnecessary to tell the reader what cellulose is since he now holds a specimen of it in his hand, pretty pure cellulose except for the sizing and the specks of carbon that mar the whiteness of its surface. this utilization of cellulose is the chief cause of the difference between the modern world and the ancient, for what is called the invention of printing is essentially the inventing of paper. the romans made type to stamp their coins and lead pipes with and if they had had paper to print upon the world might have escaped the dark ages. but the clay tablets of the babylonians were cumbersome; the wax tablets of the greeks were perishable; the papyrus of the egyptians was fragile; parchment was expensive and penning was slow, so it was not until literature was put on a paper basis that democratic education became possible. at the present time sheepskin is only used for diplomas, treaties and other antiquated documents. and even if your diploma is written in latin it is likely to be made of sulfated cellulose. the textile industry has followed the same law of development that i have indicated in the other industries. here again we find the three stages of progress, ( ) utilization of natural products, ( ) cultivation of natural products, ( ) manufacture of artificial products. the ancients were dependent upon plants, animals and insects for their fibers. china used silk, greece and rome used wool, egypt used flax and india used cotton. in the course of cultivation for three thousand years the animal and vegetable fibers were lengthened and strengthened and cheapened. but at last man has risen to the level of the worm and can spin threads to suit himself. he can now rival the wasp in the making of paper. he is no longer dependent upon the flax and the cotton plant, but grinds up trees to get his cellulose. a new york newspaper uses up nearly acres of forest a year. the united states grinds up about five million cords of wood a year in the manufacture of pulp for paper and other purposes. in making "mechanical pulp" the blocks of wood, mostly spruce and hemlock, are simply pressed sidewise of the grain against wet grindstones. but in wood fiber the cellulose is in part combined with lignin, which is worse than useless. to break up the ligno-cellulose combine chemicals are used. the logs for this are not ground fine, but cut up by disk chippers. the chips are digested for several hours under heat and pressure with acid or alkali. there are three processes in vogue. in the most common process the reagent is calcium sulfite, made by passing sulfur fumes (so_{ }) into lime water. in another process a solution of caustic of soda is used to disintegrate the wood. the third, known as the "sulfate" process, should rather be called the sulfide process since the active agent is an alkaline solution of sodium sulfide made by roasting sodium sulfate with the carbonaceous matter extracted from the wood. this sulfate process, though the most recent of the three, is being increasingly employed in this country, for by means of it the resinous pine wood of the south can be worked up and the final product, known as kraft paper because it is strong, is used for wrapping. but whatever the process we get nearly pure cellulose which, as you can see by examining this page under a microscope, consists of a tangled web of thin white fibers, the remains of the original cell walls. owing to the severe treatment it has undergone wood pulp paper does not last so long as the linen rag paper used by our ancestors. the pages of the newspapers, magazines and books printed nowadays are likely to become brown and brittle in a few years, no great loss for the most part since they have served their purpose, though it is a pity that a few copies of the worst of them could not be printed on permanent paper for preservation in libraries so that future generations could congratulate themselves on their progress in civilization. but in our absorption in the printed page we must not forget the other uses of paper. the paper clothing, so often prophesied, has not yet arrived. even paper collars have gone out of fashion--if they ever were in. in germany during the war paper was used for socks, shirts and shoes as well as handkerchiefs and napkins but it could not stand wear and washing. our sanitary engineers have set us to drinking out of sharp-edged paper cups and we blot our faces instead of wiping them. twine is spun of paper and furniture made of the twine, a rival of rattan. cloth and matting woven of paper yarn are being used for burlap and grass in the making of bags and suitcases. here, however, we are not so much interested in manufactures of cellulose itself, that is, wood, paper and cotton, as we are in its chemical derivatives. cellulose, as we can see from the symbol, c_{ }h_{ }o_{ }, is composed of the three elements of carbon, hydrogen and oxygen. these are present in the same proportion as in starch (c_{ }h_{ }o_{ }), while glucose or grape sugar (c_{ }h_{ }o_{ }) has one molecule of water more. but glucose is soluble in cold water and starch is soluble in hot, while cellulose is soluble in neither. consequently cellulose cannot serve us for food, although some of the vegetarian animals, notably the goat, have a digestive apparatus that can handle it. in finland and germany birch wood pulp and straw were used not only as an ingredient of cattle food but also put into war bread. it is not likely, however, that the human stomach even under the pressure of famine is able to get much nutriment out of sawdust. but by digesting with dilute acid sawdust can be transformed into sugars and these by fermentation into alcohol, so it would be possible for a man after he has read his morning paper to get drunk on it. if the cellulose, instead of being digested a long time in dilute acid, is dipped into a solution of sulfuric acid ( to per cent.) and then washed and dried it acquires a hard, tough and translucent coating that makes it water-proof and grease-proof. this is the "parchment paper" that has largely replaced sheepskin. strong alkali has a similar effect to strong acid. in john mercer, a lancashire calico printer, discovered that by passing cotton cloth or yarn through a cold per cent. solution of caustic soda the fiber is shortened and strengthened. for over forty years little attention was paid to this discovery, but when it was found that if the material was stretched so that it could not shrink on drying the twisted ribbons of the cotton fiber were changed into smooth-walled cylinders like silk, the process came into general use and nowadays much that passes for silk is "mercerized" cotton. another step was taken when cross of london discovered that when the mercerized cotton was treated with carbon disulfide it was dissolved to a yellow liquid. this liquid contains the cellulose in solution as a cellulose xanthate and on acidifying or heating the cellulose is recovered in a hydrated form. if this yellow solution of cellulose is squirted out of tubes through extremely minute holes into acidulated water, each tiny stream becomes instantly solidified into a silky thread which may be spun and woven like that ejected from the spinneret of the silkworm. the origin of natural silk, if we think about it, rather detracts from the pleasure of wearing it, and if "he who needlessly sets foot upon a worm" is to be avoided as a friend we must hope that the advance of the artificial silk industry will be rapid enough to relieve us of the necessity of boiling thousands of baby worms in their cradles whenever we want silk stockings. on a plain rush hurdle a silkworm lay when a proud young princess came that way. the haughty daughter of a lordly king threw a sidelong glance at the humble thing, little thinking she walked in pride in the winding sheet where the silkworm died. but so far we have not reached a stage where we can altogether dispense with the services of the silkworm. the viscose threads made by the process look as well as silk, but they are not so strong, especially when wet. besides the viscose method there are several other methods of getting cellulose into solution so that artificial fibers may be made from it. a strong solution of zinc chloride will serve and this process used to be employed for making the threads to be charred into carbon filaments for incandescent bulbs. cellulose is also soluble in an ammoniacal solution of copper hydroxide. the liquid thus formed is squirted through a fine nozzle into a precipitating solution of caustic soda and glucose, which brings back the cellulose to its original form. in the chapter on explosives i explained how cellulose treated with nitric acid in the presence of sulfuric acid was nitrated. the cellulose molecule having three hydroxyl (--oh) groups, can take up one, two or three nitrate groups (--ono_{ }). the higher nitrates are known as guncotton and form the basis of modern dynamite and smokeless powder. the lower nitrates, known as pyroxylin, are less explosive, although still very inflammable. all these nitrates are, like the original cellulose, insoluble in water, but unlike the original cellulose, soluble in a mixture of ether and alcohol. the solution is called collodion and is now in common use to spread a new skin over a wound. the great war might be traced back to nobel's cut finger. alfred nobel was a swedish chemist--and a pacifist. one day while working in the laboratory he cut his finger, as chemists are apt to do, and, again as chemists are apt to do, he dissolved some guncotton in ether-alcohol and swabbed it on the wound. at this point, however, his conduct diverges from the ordinary, for instead of standing idle, impatiently waving his hand in the air to dry the film as most people, including chemists, are apt to do, he put his mind on it and it occurred to him that this sticky stuff, slowly hardening to an elastic mass, might be just the thing he was hunting as an absorbent and solidifier of nitroglycerin. so instead of throwing away the extra collodion that he had made he mixed it with nitroglycerin and found that it set to a jelly. the "blasting gelatin" thus discovered proved to be so insensitive to shock that it could be safely transported or fired from a cannon. this was the first of the high explosives that have been the chief factor in modern warfare. but on the whole, collodion has healed more wounds than it has caused besides being of infinite service to mankind otherwise. it has made modern photography possible, for the film we use in the camera and moving picture projector consists of a gelatin coating on a pyroxylin backing. if collodion is forced through fine glass tubes instead of through a slit, it comes out a thread instead of a film. if the collodion jet is run into a vat of cold water the ether and alcohol dissolve; if it is run into a chamber of warm air they evaporate. the thread of nitrated cellulose may be rendered less inflammable by taking out the nitrate groups by treatment with ammonium or calcium sulfide. this restores the original cellulose, but now it is an endless thread of any desired thickness, whereas the native fiber was in size and length adapted to the needs of the cottonseed instead of the needs of man. the old motto, "if you want a thing done the way you want it you must do it yourself," explains why the chemist has been called in to supplement the work of nature in catering to human wants. instead of nitric acid we may use strong acetic acid to dissolve the cotton. the resulting cellulose acetates are less inflammable than the nitrates, but they are more brittle and more expensive. motion picture films made from them can be used in any hall without the necessity of imprisoning the operator in a fire-proof box where if anything happens he can burn up all by himself without disturbing the audience. the cellulose acetates are being used for auto goggles and gas masks as well as for windows in leather curtains and transparent coverings for index cards. a new use that has lately become important is the varnishing of aeroplane wings, as it does not readily absorb water or catch fire and makes the cloth taut and air-tight. aeroplane wings can be made of cellulose acetate sheets as transparent as those of a dragon-fly and not easy to see against the sky. the nitrates, sulfates and acetates are the salts or esters of the respective acids, but recently true ethers or oxides of cellulose have been prepared that may prove still better since they contain no acid radicle and are neutral and stable. these are in brief the chief processes for making what is commonly but quite improperly called "artificial silk." they are not the same substance as silkworm silk and ought not to be--though they sometimes are--sold as such. they are none of them as strong as the silk fiber when wet, although if i should venture to say which of the various makes weakens the most on wetting i should get myself into trouble. i will only say that if you have a grudge against some fisherman give him a fly line of artificial silk, 'most any kind. the nitrate process was discovered by count hilaire de chardonnet while he was at the polytechnic school of paris, and he devoted his life and his fortune trying to perfect it. samples of the artificial silk were exhibited at the paris exposition in and two years later he started a factory at basançon. in , cross and bevan, english chemists, discovered the viscose or xanthate process, and later the acetate process. but although all four of these processes were invented in france and england, germany reaped most benefit from the new industry, which was bringing into that country $ , , a year before the war. the largest producer in the world was the vereinigte glanzstoff-fabriken of elberfeld, which was paying annual dividends of per cent. in . the raw materials, as may be seen, are cheap and abundant, merely cellulose, salt, sulfur, carbon, air and water. any kind of cellulose can be used, cotton waste, rags, paper, or even wood pulp. the processes are various, the names of the products are numerous and the uses are innumerable. even the most inattentive must have noticed the widespread employment of these new forms of cellulose. we can buy from a street barrow for fifteen cents near-silk neckties that look as well as those sold for seventy-five. as for wear--well, they all of them wear till after we get tired of wearing them. paper "vulcanized" by being run through a per cent. solution of zinc chloride and subjected to hydraulic pressure comes out hard and horny and may be used for trunks and suit cases. viscose tubes for sausage containers are more sanitary and appetizing than the customary casings. viscose replaces ramie or cotton in the welsbach gas mantles. viscose film, transparent and a thousandth of an inch thick (cellophane), serves for candy wrappers. cellulose acetate cylinders spun out of larger orifices than silk are trying--not very successfully as yet--to compete with hog's bristles and horsehair. stir powdered metals into the cellulose solution and you have the bayko yarn. bayko (from the manufacturers, farbenfabriken vorm. friedr. bayer and company) is one of those telescoped names like socony, nylic, fominco, alco, ropeco, ripans, penn-yan, anzac, dagor, dora and cadets, which will be the despair of future philologers. [illustration: a paper mill in action this photograph was taken in the barking room of the big pulp mill of the great northern paper company at millinocket, maine] [illustration: cellulose from wood pulp this is now made into a large variety of useful articles of which a few examples are here pictured] soluble cellulose may enable us in time to dispense with the weaver as well as the silkworm. it may by one operation give us fabrics instead of threads. a machine has been invented for manufacturing net and lace, the liquid material being poured on one side of a roller and the fabric being reeled off on the other side. the process seems capable of indefinite extension and application to various sorts of woven, knit and reticulated goods. the raw material is cotton waste and the finished fabric is a good substitute for silk. as in the process of making artificial silk the cellulose is dissolved in a cupro-ammoniacal solution, but instead of being forced out through minute openings to form threads, as in that process, the paste is allowed to flow upon a revolving cylinder which is engraved with the pattern of the desired textile. a scraper removes the excess and the turning of the cylinder brings the paste in the engraved lines down into a bath which solidifies it. tulle or net is now what is chiefly being turned out, but the engraved design may be as elaborate and artistic as desired, and various materials can be used. since the threads wherever they cross are united, the fabric is naturally stronger than the ordinary. it is all of a piece and not composed of parts. in short, we seem to be on the eve of a revolution in textiles that is the same as that taking place in building materials. our concrete structures, however great, are all one stone. they are not built up out of blocks, but cast as a whole. lace has always been the aristocrat among textiles. it has maintained its exclusiveness hitherto by being based upon hand labor. in no other way could one get so much painful, patient toil put into such a light and portable form. a filmy thing twined about a neck or dropping from a wrist represented years of work by poor peasant girls or pallid, unpaid nuns. a visit to a lace factory, even to the public rooms where the wornout women were not to be seen, is enough to make one resolve never to purchase any such thing made by hand again. but our good resolutions do not last long and in time we forget the strained eyes and bowed backs, or, what is worse, value our bit of lace all the more because it means that some poor woman has put her life and health into it, netting and weaving, purling and knotting, twining and twisting, throwing and drawing, thread by thread, day after day, until her eyes can no longer see and her fingers have become stiffened. but man is not naturally cruel. he does not really enjoy being a slave driver, either of human or animal slaves, although he can be hardened to it with shocking ease if there seems no other way of getting what he wants. so he usually welcomes that great liberator, the machine. he prefers to drive the tireless engine than to whip the straining horses. he had rather see the farmer riding at ease in a mowing machine than bending his back over a scythe. the machine is not only the great liberator, it is the great leveler also. it is the most powerful of the forces for democracy. an aristocracy can hardly be maintained except by distinction in dress, and distinction in dress can only be maintained by sumptuary laws or costliness. sumptuary laws are unconstitutional in this country, hence the stress laid upon costliness. but machinery tends to bring styles and fabrics within the reach of all. the shopgirl is almost as well dressed on the street as her rich customer. the man who buys ready-made clothing is only a few weeks behind the vanguard of the fashion. there is often no difference perceptible to the ordinary eye between cheap and high-priced clothing once the price tag is off. jewels as a portable form of concentrated costliness have been in favor from the earliest ages, but now they are losing their factitious value through the advance of invention. rubies of unprecedented size, not imitation, but genuine rubies, can now be manufactured at reasonable rates. and now we may hope that lace may soon be within the reach of all, not merely lace of the established forms, but new and more varied and intricate and beautiful designs, such as the imagination has been able to conceive, but the hand cannot execute. dissolving nitrocellulose in ether and alcohol we get the collodion varnish that we are all familiar with since we have used it on our cut fingers. spread it on cloth instead of your skin and it makes a very good leather substitute. as we all know to our cost the number of animals to be skinned has not increased so rapidly in recent years as the number of feet to be shod. after having gone barefoot for a million years or so the majority of mankind have decided to wear shoes and this change in fashion comes at a time, roughly speaking, when pasture land is getting scarce. also there are books to be bound and other new things to be done for which leather is needed. the war has intensified the stringency; so has feminine fashion. the conventions require that the shoe-tops extend nearly to skirt-bottom and this means that an inch or so must be added to the shoe-top every year. consequent to this rise in leather we have to pay as much for one shoe as we used to pay for a pair. here, then, is a chance for necessity to exercise her maternal function. and she has responded nobly. a progeny of new substances have been brought forth and, what is most encouraging to see, they are no longer trying to worm their way into favor as surreptitious surrogates under the names of "leatheret," "leatherine," "leatheroid" and "leather-this-or-that" but come out boldly under names of their own coinage and declare themselves not an imitation, not even a substitute, but "better than leather." this policy has had the curious result of compelling the cowhide men to take full pages in the magazines to call attention to the forgotten virtues of good old-fashioned sole-leather! there are now upon the market synthetic shoes that a vegetarian could wear with a clear conscience. the soles are made of some rubber composition; the uppers of cellulose fabric (canvas) coated with a cellulose solution such as i have described. each firm keeps its own process for such substance a dead secret, but without prying into these we can learn enough to satisfy our legitimate curiosity. the first of the artificial fabrics was the old-fashioned and still indispensable oil-cloth, that is canvas painted or printed with linseed oil carrying the desired pigments. linseed oil belongs to the class of compounds that the chemist calls "unsaturated" and the psychologist would call "unsatisfied." they take up oxygen from the air and become solid, hence are called the "drying oils," although this does not mean that they lose water, for they have not any to lose. later, ground cork was mixed with the linseed oil and then it went by its latin name, "linoleum." the next step was to cut loose altogether from the natural oils and use for the varnish a solution of some of the cellulose esters, usually the nitrate (pyroxylin or guncotton), more rarely the acetate. as a solvent the ether-alcohol mixture forming collodion was, as we have seen, the first to be employed, but now various other solvents are in use, among them castor oil, methyl alcohol, acetone, and the acetates of amyl or ethyl. some of these will be recognized as belonging to the fruit essences that we considered in chapter v, and doubtless most of us have perceived an odor as of over-ripe pears, bananas or apples mysteriously emanating from a newly lacquered radiator. with powdered bronze, imitation gold, aluminum or something of the kind a metallic finish can be put on any surface. canvas coated or impregnated with such soluble cellulose gives us new flexible and durable fabrics that have other advantages over leather besides being cheaper and more abundant. without such material for curtains and cushions the automobile business would have been sorely hampered. it promises to provide us with a book binding that will not crumble to powder in the course of twenty years. linen collars may be water-proofed and possibly dame fashion--being a fickle lady--may some day relent and let us wear such sanitary and economical neckwear. for shoes, purses, belts and the like the cellulose varnish or veneer is usually colored and stamped to resemble the grain of any kind of leather desired, even snake or alligator. if instead of dissolving the cellulose nitrate and spreading it on fabric we combine it with camphor we get celluloid, a plastic solid capable of innumerable applications. but that is another story and must be reserved for the next chapter. but before leaving the subject of cellulose proper i must refer back again to its chief source, wood. we inherited from the indians a well-wooded continent. but the pioneer carried an ax on his shoulder and began using it immediately. for three hundred years the trees have been cut down faster than they could grow, first to clear the land, next for fuel, then for lumber and lastly for paper. consequently we are within sight of a shortage of wood as we are of coal and oil. but the coal and oil are irrecoverable while the wood may be regrown, though it would require another three hundred years and more to grow some of the trees we have cut down. for fuel a pound of coal is about equal to two pounds of wood, and a pound of gasoline to three pounds of wood in heating value, so there would be a great loss in efficiency and economy if the world had to go back to a wood basis. but when that time shall come, as, of course, it must come some time, the wood will doubtless not be burned in its natural state but will be converted into hydrogen and carbon monoxide in a gas producer or will be distilled in closed ovens giving charcoal and gas and saving the by-products, the tar and acid liquors. as it is now the lumberman wastes two-thirds of every tree he cuts down. the rest is left in the forest as stump and tops or thrown out at the mill as sawdust and slabs. the slabs and other scraps may be used as fuel or worked up into small wood articles like laths and clothes-pins. the sawdust is burned or left to rot. but it is possible, although it may not be profitable, to save all this waste. in a former chapter i showed the advantages of the introduction of by-product coke-ovens. the same principle applies to wood as to coal. if a cord of wood ( cubic feet) is subjected to a process of destructive distillation it yields about bushels of charcoal, , cubic feet of gas, gallons of tar, gallons of crude wood alcohol and pounds of crude acetate of lime. resinous woods such as pine and fir distilled with steam give turpentine and rosin. the acetate of lime gives acetic acid and acetone. the wood (methyl) alcohol is almost as useful as grain (ethyl) alcohol in arts and industry and has the advantage of killing off those who drink it promptly instead of slowly. the chemist is an economical soul. he is never content until he has converted every kind of waste product into some kind of profitable by-product. he now has his glittering eye fixed upon the mountains of sawdust that pile up about the lumber mills. he also has a notion that he can beat lumber for some purposes. vii synthetic plastics in the last chapter i told how alfred nobel cut his finger and, daubing it over with collodion, was led to the discovery of high explosive, dynamite. i remarked that the first part of this process--the hurting and the healing of the finger--might happen to anybody but not everybody would be led to discovery thereby. that is true enough, but we must not think that the swedish chemist was the only observant man in the world. about this same time a young man in albany, named john wesley hyatt, got a sore finger and resorted to the same remedy and was led to as great a discovery. his father was a blacksmith and his education was confined to what he could get at the seminary of eddytown, new york, before he was sixteen. at that age he set out for the west to make his fortune. he made it, but after a long, hard struggle. his trade of typesetter gave him a living in illinois, new york or wherever he wanted to go, but he was not content with his wages or his hours. however, he did not strike to reduce his hours or increase his wages. on the contrary, he increased his working time and used it to increase his income. he spent his nights and sundays in making billiard balls, not at all the sort of thing you would expect of a young man of his christian name. but working with billiard balls is more profitable than playing with them--though that is not the sort of thing you would expect a man of my surname to say. hyatt had seen in the papers an offer of a prize of $ , for the discovery of a satisfactory substitute for ivory in the making of billiard balls and he set out to get that prize. i don't know whether he ever got it or not, but i have in my hand a newly published circular announcing that mr. hyatt has now perfected a process for making billiard balls "better than ivory." meantime he has turned out several hundred other inventions, many of them much more useful and profitable, but i imagine that he takes less satisfaction in any of them than he does in having solved the problem that he undertook fifty years ago. the reason for the prize was that the game on the billiard table was getting more popular and the game in the african jungle was getting scarcer, especially elephants having tusks more than - / inches in diameter. the raising of elephants is not an industry that promises as quick returns as raising chickens or belgian hares. to make a ball having exactly the weight, color and resiliency to which billiard players have become accustomed seemed an impossibility. hyatt tried compressed wood, but while he did not succeed in making billiard balls he did build up a profitable business in stamped checkers and dominoes. setting type in the way they did it in the sixties was hard on the hands. and if the skin got worn thin or broken the dirty lead type were liable to infect the fingers. one day in hyatt, finding his fingers were getting raw, went to the cupboard where was kept the "liquid cuticle" used by the printers. but when he got there he found it was bare, for the vial had tipped over--you know how easily they tip over--and the collodion had run out and solidified on the shelf. possibly hyatt was annoyed, but if so he did not waste time raging around the office to find out who tipped over that bottle. instead he pulled off from the wood a bit of the dried film as big as his thumb nail and examined it with that "'satiable curtiosity," as kipling calls it, which is characteristic of the born inventor. he found it tough and elastic and it occurred to him that it might be worth $ , . it turned out to be worth many times that. collodion, as i have explained in previous chapters, is a solution in ether and alcohol of guncotton (otherwise known as pyroxylin or nitrocellulose), which is made by the action of nitric acid on cotton. hyatt tried mixing the collodion with ivory powder, also using it to cover balls of the necessary weight and solidity, but they did not work very well and besides were explosive. a colorado saloon keeper wrote in to complain that one of the billiard players had touched a ball with a lighted cigar, which set it off and every man in the room had drawn his gun. the trouble with the dissolved guncotton was that it could not be molded. it did not swell up and set; it merely dried up and shrunk. when the solvent evaporated it left a wrinkled, shriveled, horny film, satisfactory to the surgeon but not to the man who wanted to make balls and hairpins and knife handles out of it. in england alexander parkes began working on the problem in and stuck to it for ten years before he, or rather his backers, gave up. he tried mixing in various things to stiffen up the pyroxylin. of these, camphor, which he tried in , worked the best, but since he used castor oil to soften the mass articles made of "parkesine" did not hold up in all weathers. another englishman, daniel spill, an associate of parkes, took up the problem where he had dropped it and turned out a better product, "xylonite," though still sticking to the idea that castor oil was necessary to get the two solids, the guncotton and the camphor, together. but hyatt, hearing that camphor could be used and not knowing enough about what others had done to follow their false trails, simply mixed his camphor and guncotton together without any solvent and put the mixture in a hot press. the two solids dissolved one another and when the press was opened there was a clear, solid, homogeneous block of--what he named--"celluloid." the problem was solved and in the simplest imaginable way. tissue paper, that is, cellulose, is treated with nitric acid in the presence of sulfuric acid. the nitration is not carried so far as to produce the guncotton used in explosives but only far enough to make a soluble nitrocellulose or pyroxylin. this is pulped and mixed with half the quantity of camphor, pressed into cakes and dried. if this mixture is put into steam-heated molds and subjected to hydraulic pressure it takes any desired form. the process remains essentially the same as was worked out by the hyatt brothers in the factory they set up in newark in and some of their original machines are still in use. but this protean plastic takes innumerable forms and almost as many names. each factory has its own secrets and lays claim to peculiar merits. the fundamental product itself is not patented, so trade names are copyrighted to protect the product. i have already mentioned three, "parkesine," "xylonite" and "celluloid," and i may add, without exhausting the list of species belonging to this genus, "viscoloid," "lithoxyl," "fiberloid," "coraline," "eburite," "pulveroid," "ivorine," "pergamoid," "duroid," "ivortus," "crystalloid," "transparene," "litnoid," "petroid," "pasbosene," "cellonite" and "pyralin." celluloid can be given any color or colors by mixing in aniline dyes or metallic pigments. the color may be confined to the surface or to the interior or pervade the whole. if the nitrated tissue paper is bleached the celluloid is transparent or colorless. in that case it is necessary to add an antacid such as urea to prevent its getting yellow or opaque. to make it opaque and less inflammable oxides or chlorides of zinc, aluminum, magnesium, etc., are mixed in. without going into the question of their variations and relative merits we may consider the advantages of the pyroxylin plastics in general. here we have a new substance, the product of the creative genius of man, and therefore adaptable to his needs. it is hard but light, tough but elastic, easily made and tolerably cheap. heated to the boiling point of water it becomes soft and flexible. it can be turned, carved, ground, polished, bent, pressed, stamped, molded or blown. to make a block of any desired size simply pile up the sheets and put them in a hot press. to get sheets of any desired thickness, simply shave them off the block. to make a tube of any desired size, shape or thickness squirt out the mixture through a ring-shaped hole or roll the sheets around a hot bar. cut the tube into sections and you have rings to be shaped and stamped into box bodies or napkin rings. print words or pictures on a celluloid sheet, put a thin transparent sheet over it and weld them together, then you have something like the horn book of our ancestors, but better. nowadays such things as celluloid and pyralin can be sold under their own name, but in the early days the artificial plastics, like every new thing, had to resort to _camouflage_, a very humiliating expedient since in some cases they were better than the material they were forced to imitate. tortoise shell, for instance, cracks, splits and twists, but a "tortoise shell" comb of celluloid looks as well and lasts better. horn articles are limited to size of the ceratinous appendages that can be borne on the animal's head, but an imitation of horn can be made of any thickness by wrapping celluloid sheets about a cone. ivory, which also has a laminated structure, may be imitated by rolling together alternate white opaque and colorless translucent sheets. some of the sheets are wrinkled in order to produce the knots and irregularities of the grain of natural ivory. man's chief difficulty in all such work is to imitate the imperfections of nature. his whites are too white, his surfaces are too smooth, his shapes are too regular, his products are too pure. the precious red coral of the mediterranean can be perfectly imitated by taking a cast of a coral branch and filling in the mold with celluloid of the same color and hardness. the clear luster of amber, the dead black of ebony, the cloudiness of onyx, the opalescence of alabaster, the glow of carnelian--once confined to the selfish enjoyment of the rich--are now within the reach of every one, thanks to this chameleon material. mosaics may be multiplied indefinitely by laying together sheets and sticks of celluloid, suitably cut and colored to make up the picture, fusing the mass, and then shaving off thin layers from the end. that _chef d'oeuvre_ of the venetian glass makers, the battle of isus, from the house of the faun in pompeii, can be reproduced as fast as the machine can shave them off the block. and the tesserae do not fall out like those you bought on the rialto. the process thus does for mosaics, ivory and coral what printing does for pictures. it is a mechanical multiplier and only by such means can we ever attain to a state of democratic luxury. the product, in cases where the imitation is accurate, is equally valuable except to those who delight in thinking that coral insects, italian craftsmen and elephants have been laboring for years to put a trinket into their hands. the lord may be trusted to deal with such selfish souls according to their deserts. but it is very low praise for a synthetic product that it can pass itself off, more or less acceptably, as a natural product. if that is all we could do without it. it must be an improvement in some respects on anything to be found in nature or it does not represent a real advance. so celluloid and its congeners are not confined to the shapes of shell and coral and crystal, or to the grain of ivory and wood and horn, the colors of amber and amethyst and lapis lazuli, but can be given forms and textures and tints that were never known before . let me see now, have i mentioned all the uses of celluloid? oh, no, there are handles for canes, umbrellas, mirrors and brushes, knives, whistles, toys, blown animals, card cases, chains, charms, brooches, badges, bracelets, rings, book bindings, hairpins, campaign buttons, cuff and collar buttons, cuffs, collars and dickies, tags, cups, knobs, paper cutters, picture frames, chessmen, pool balls, ping pong balls, piano keys, dental plates, masks for disfigured faces, penholders, eyeglass frames, goggles, playing cards--and you can carry on the list as far as you like. celluloid has its disadvantages. you may mold, you may color the stuff as you will, the scent of the camphor will cling around it still. this is not usually objectionable except where the celluloid is trying to pass itself off for something else, in which case it deserves no sympathy. it is attacked and dissolved by hot acids and alkalies. it softens up when heated, which is handy in shaping it though not so desirable afterward. but the worst of its failings is its combustibility. it is not explosive, but it takes fire from a flame and burns furiously with clouds of black smoke. but celluloid is only one of many plastic substances that have been introduced to the present generation. a new and important group of them is now being opened up, the so-called "condensation products." if you will take down any old volume of chemical research you will find occasionally words to this effect: "the reaction resulted in nothing but an insoluble resin which was not further investigated." such a passage would be marked with a tear if chemists were given to crying over their failures. for it is the epitaph of a buried hope. it likely meant the loss of months of labor. the reason the chemist did not do anything further with the gummy stuff that stuck up his test tube was because he did not know what to do with it. it could not be dissolved, it could not be crystallized, it could not be distilled, therefore it could not be purified, analyzed and identified. what had happened was in most cases this. the molecule of the compound that the chemist was trying to make had combined with others of its kind to form a molecule too big to be managed by such means. financiers call the process a "merger." chemists call it "polymerization." the resin was a molecular trust, indissoluble, uncontrollable and contaminating everything it touched. but chemists--like governments--have learned wisdom in recent years. they have not yet discovered in all cases how to undo the process of polymerization, or, if you prefer the financial phrase, how to unscramble the eggs. but they have found that these molecular mergers are very useful things in their way. for instance there is a liquid known as isoprene (c_{ }h_{ }). this on heating or standing turns into a gum, that is nothing less than rubber, which is some multiple of c_{ }h_{ }. for another instance there is formaldehyde, an acrid smelling gas, used as a disinfectant. this has the simplest possible formula for a carbohydrate, ch_{ }o. but in the leaf of a plant this molecule multiplies itself by six and turns into a sweet solid glucose (c_{ }h_{ }o_{ }), or with the loss of water into starch (c_{ }h_{ }o_{ }) or cellulose (c_{ }h_{ }o_{ }). but formaldehyde is so insatiate that it not only combines with itself but seizes upon other substances, particularly those having an acquisitive nature like its own. such a substance is carbolic acid (phenol) which, as we all know, is used as a disinfectant like formaldehyde because it, too, has the power of attacking decomposable organic matter. now prof. adolf von baeyer discovered in that when phenol and formaldehyde were brought into contact they seized upon one another and formed a combine of unusual tenacity, that is, a resin. but as i have said, chemists in those days were shy of resins. kleeberg in tried to make something out of it and w.h. story in went so far as to name the product "resinite," but nothing came of it until when l.h. baekeland undertook a serious and systematic study of this reaction in new york. baekeland was a belgian chemist, born at ghent in and professor at bruges. while a student at ghent he took up photography as a hobby and began to work on the problem of doing away with the dark-room by producing a printing paper that could be developed under ordinary light. when he came over to america in he brought his idea with him and four years later turned out "velox," with which doubtless the reader is familiar. velox was never patented because, as dr. baekeland explained in his speech of acceptance of the perkin medal from the chemists of america, lawsuits are too expensive. manufacturers seem to be coming generally to the opinion that a synthetic name copyrighted as a trademark affords better protection than a patent. later dr. baekeland turned his attention to the phenol condensation products, working gradually up from test tubes to ton vats according to his motto: "make your mistakes on a small scale and your profits on a large scale." he found that when equal weights of phenol and formaldehyde were mixed and warmed in the presence of an alkaline catalytic agent the solution separated into two layers, the upper aqueous and the lower a resinous precipitate. this resin was soft, viscous and soluble in alcohol or acetone. but if it was heated under pressure it changed into another and a new kind of resin that was hard, inelastic, unplastic, infusible and insoluble. the chemical name of this product is "polymerized oxybenzyl methylene glycol anhydride," but nobody calls it that, not even chemists. it is called "bakelite" after its inventor. the two stages in its preparation are convenient in many ways. for instance, porous wood may be soaked in the soft resin and then by heat and pressure it is changed to the bakelite form and the wood comes out with a hard finish that may be given the brilliant polish of japanese lacquer. paper, cardboard, cloth, wood pulp, sawdust, asbestos and the like may be impregnated with the resin, producing tough and hard material suitable for various purposes. brass work painted with it and then baked at ° f. acquires a lacquered surface that is unaffected by soap. forced in powder or sheet form into molds under a pressure of to pounds to the square inch it takes the most delicate impressions. billiard balls of bakelite are claimed to be better than ivory because, having no grain, they do not swell unequally with heat and humidity and so lose their sphericity. pipestems and beads of bakelite have the clear brilliancy of amber and greater strength. fountain pens made of it are transparent so you can see how much ink you have left. a new and enlarging field for bakelite and allied products is the making of noiseless gears for automobiles and other machinery, also of air-plane propellers. celluloid is more plastic and elastic than bakelite. it is therefore more easily worked in sheets and small objects. celluloid can be made perfectly transparent and colorless while bakelite is confined to the range between a clear amber and an opaque brown or black. on the other hand bakelite has the advantage in being tasteless, odorless, inert, insoluble and non-inflammable. this last quality and its high electrical resistance give bakelite its chief field of usefulness. electricity was discovered by the greeks, who found that amber (_electron_) when rubbed would pick up straws. this means simply that amber, like all such resinous substances, natural or artificial, is a non-conductor or di-electric and does not carry off and scatter the electricity collected on the surface by the friction. bakelite is used in its liquid form for impregnating coils to keep the wires from shortcircuiting and in its solid form for commutators, magnetos, switch blocks, distributors, and all sorts of electrical apparatus for automobiles, telephones, wireless telegraphy, electric lighting, etc. bakelite, however, is only one of an indefinite number of such condensation products. as baeyer said long ago: "it seems that all the aldehydes will, under suitable circumstances, unite with the aromatic hydrocarbons to form resins." so instead of phenol, other coal tar products such as cresol, naphthol or benzene itself may be used. the carbon links (-ch_{ }-, methylene) necessary to hook these carbon rings together may be obtained from other substances than the aldehydes, for instance from the amines, or ammonia derivatives. three chemists, l.v. kedman, a.j. weith and f.p. broek, working in on the industrial fellowships of the late robert kennedy duncan at the university of kansas, developed a process using formin instead of formaldehyde. formin--or, if you insist upon its full name, hexa-methylene-tetramine--is a sugar-like substance with a fish-like smell. this mixed with crystallized carbolic acid and slightly warmed melts to a golden liquid that sets on pouring into molds. it is still plastic and can be bent into any desired shape, but on further heating it becomes hard without the need of pressure. ammonia is given off in this process instead of water which is the by-product in the case of formaldehyde. the product is similar to bakelite, exactly how similar is a question that the courts will have to decide. the inventors threatened to call it phenyl-endeka-saligeno-saligenin, but, rightly fearing that this would interfere with its salability, they have named it "redmanol." a phenolic condensation product closely related to bakelite and redmanol is condensite, the invention of jonas walter aylesworth. aylesworth was trained in what he referred to as "the greatest university of the world, the edison laboratory." he entered this university at the age of nineteen at a salary of $ a week, but edison soon found that he had in his new boy an assistant who could stand being shut up in the laboratory working day and night as long as he could. after nine years of close association with edison he set up a little laboratory in his own back yard to work out new plastics. he found that by acting on naphthalene--the moth-ball stuff--with chlorine he got a series of useful products called "halowaxes." the lower chlorinated products are oils, which may be used for impregnating paper or soft wood, making it non-inflammable and impregnable to water. if four atoms of chlorine enter the naphthalene molecule the product is a hard wax that rings like a metal. condensite is anhydrous and infusible, and like its rivals finds its chief employment in the insulation parts of electrical apparatus. the records of the edison phonograph are made of it. so are the buttons of our blue-jackets. the government at the outbreak of the war ordered , goggles in condensite frames to protect the eyes of our gunners from the glare and acid fumes. the various synthetics played an important part in the war. according to an ancient military pun the endurance of soldiers depends upon the strength of their soles. the new compound rubber soles were found useful in our army and the germans attribute their success in making a little leather go a long way during the late war to the use of a new synthetic tanning material known as "neradol." there are various forms of this. some are phenolic condensation products of formaldehyde like those we have been considering, but some use coal-tar compounds having no phenol groups, such as naphthalene sulfonic acid. these are now being made in england under such names as "paradol," "cresyntan" and "syntan." they have the advantage of the natural tannins such as bark in that they are of known strength and can be varied to suit. this very grasping compound, formaldehyde, will attack almost anything, even molecules many times its size. gelatinous and albuminous substances of all sorts are solidified by it. glue, skimmed milk, blood, eggs, yeast, brewer's slops, may by this magic agent be rescued from waste and reappear in our buttons, hairpins, roofing, phonographs, shoes or shoe-polish. the french have made great use of casein hardened by formaldehyde into what is known as "galalith" (i.e., milkstone). this is harder than celluloid and non-inflammable, but has the disadvantages of being more brittle and of absorbing moisture. a mixture of casein and celluloid has something of the merits of both. the japanese, as we should expect, are using the juice of the soy bean, familiar as a condiment to all who patronize chop-sueys or use worcestershire sauce. the soy glucine coagulated by formalin gives a plastic said to be better and cheaper than celluloid. its inventor, s. sato, of sendai university, has named it, according to american precedent, "satolite," and has organized a million-dollar satolite company at mukojima. the algin extracted from the pacific kelp can be used as a rubber surrogate for water-proofing cloth. when combined with heavier alkaline bases it forms a tough and elastic substance that can be rolled into transparent sheets like celluloid or turned into buttons and knife handles. in australia when the war shut off the supply of tin the government commission appointed to devise means of preserving fruits recommended the use of cardboard containers varnished with "magramite." this is a name the australians coined for synthetic resin made from phenol and formaldehyde like bakelite. magramite dissolved in alcohol is painted on the cardboard cans and when these are stoved the coating becomes insoluble. tarasoff has made a series of condensation products from phenol and formaldehyde with the addition of sulfonated oils. these are formed by the action of sulfuric acid on coconut, castor, cottonseed or mineral oils. the products of this combination are white plastics, opaque, insoluble and infusible. since i am here chiefly concerned with "creative chemistry," that is, with the art of making substances not found in nature, i have not spoken of shellac, asphaltum, rosin, ozocerite and the innumerable gums, resins and waxes, animal, mineral and vegetable, that are used either by themselves or in combination with the synthetics. what particular "dope" or "mud" is used to coat a canvas or form a telephone receiver is often hard to find out. the manufacturer finds secrecy safer than the patent office and the chemist of a rival establishment is apt to be baffled in his attempt to analyze and imitate. but we of the outside world are not concerned with this, though we are interested in the manifold applications of these new materials. there seems to be no limit to these compounds and every week the journals report new processes and patents. but we must not allow the new ones to crowd out the remembrance of the oldest and most famous of the synthetic plasters, hard rubber, to which a separate chapter must be devoted. viii the race for rubber there is one law that regulates all animate and inanimate things. it is formulated in various ways, for instance: running down a hill is easy. in latin it reads, _facilis descensus averni._ herbert spencer calls it the dissolution of definite coherent heterogeneity into indefinite incoherent homogeneity. mother goose expresses it in the fable of humpty dumpty, and the business man extracts the moral as, "you can't unscramble an egg." the theologian calls it the dogma of natural depravity. the physicist calls it the second law of thermodynamics. clausius formulates it as "the entropy of the world tends toward a maximum." it is easier to smash up than to build up. children find that this is true of their toys; the bolsheviki have found that it is true of a civilization. so, too, the chemist knows analysis is easier than synthesis and that creative chemistry is the highest branch of his art. this explains why chemists discovered how to take rubber apart over sixty years before they could find out how to put it together. the first is easy. just put some raw rubber into a retort and heat it. if you can stand the odor you will observe the caoutchouc decomposing and a benzine-like liquid distilling over. this is called "isoprene." any freshman chemist could write the reaction for this operation. it is simply c_{ }h_{ } --> c_{ }h_{ } caoutchouc isoprene that is, one molecule of the gum splits up into two molecules of the liquid. it is just as easy to write the reaction in the reverse directions, as isoprene--> caoutchouc, but nobody could make it go in that direction. yet it could be done. it had been done. but the man who did it did not know how he did it and could not do it again. professor tilden in may, , read a paper before the birmingham philosophical society in which he said: i was surprised a few weeks ago at finding the contents of the bottles containing isoprene from turpentine entirely changed in appearance. in place of a limpid, colorless liquid the bottles contained a dense syrup in which were floating several large masses of a yellowish color. upon examination this turned out to be india rubber. but neither professor tilden nor any one else could repeat this accidental metamorphosis. it was tantalizing, for the world was willing to pay $ , , , a year for rubber and the forests of the amazon and congo were failing to meet the demand. a large share of these millions would have gone to any chemist who could find out how to make synthetic rubber and make it cheaply enough. with such a reward of fame and fortune the competition among chemists was intense. it took the form of an international contest in which england and germany were neck and neck. [illustration: courtesy of the "india rubber world." what goes into rubber and what is made out of it] the english, who had been beaten by the germans in the dye business where they had the start, were determined not to lose in this. prof. w.h. perkin, of manchester university, was one of the most eager, for he was inspired by a personal grudge against the germans as well as by patriotism and scientific zeal. it was his father who had, fifty years before, discovered mauve, the first of the anilin dyes, but england could not hold the business and its rich rewards went over to germany. so in a corps of chemists set to work under professor perkin in the manchester laboratories to solve the problem of synthetic rubber. what reagent could be found that would reverse the reaction and convert the liquid isoprene into the solid rubber? it was discovered, by accident, we may say, but it should be understood that such advantageous accidents happen only to those who are working for them and know how to utilize them. in july, , dr. matthews, who had charge of the research, set some isoprene to drying over metallic sodium, a common laboratory method of freeing a liquid from the last traces of water. in september he found that the flask was filled with a solid mass of real rubber instead of the volatile colorless liquid he had put into it. twenty years before the discovery would have been useless, for sodium was then a rare and costly metal, a little of it in a sealed glass tube being passed around the chemistry class once a year as a curiosity, or a tiny bit cut off and dropped in water to see what a fuss it made. but nowadays metallic sodium is cheaply produced by the aid of electricity. the difficulty lay rather in the cost of the raw material, isoprene. in industrial chemistry it is not sufficient that a thing can be made; it must be made to pay. isoprene could be obtained from turpentine, but this was too expensive and limited in supply. it would merely mean the destruction of pine forests instead of rubber forests. starch was finally decided upon as the best material, since this can be obtained for about a cent a pound from potatoes, corn and many other sources. here, however, the chemist came to the end of his rope and had to call the bacteriologist to his aid. the splitting of the starch molecule is too big a job for man; only the lower organisms, the yeast plant, for example, know enough to do that. owing perhaps to the _entente cordiale_ a french biologist was called into the combination, professor fernbach, of the pasteur institute, and after eighteen months' hard work he discovered a process of fermentation by which a large amount of fusel oil can be obtained from any starchy stuff. hitherto the aim in fermentation and distillation had been to obtain as small a proportion of fusel as possible, for fusel oil is a mixture of the heavier alcohols, all of them more poisonous and malodorous than common alcohol. but here, as has often happened in the history of industrial chemistry, the by-product turned out to be more valuable than the product. from fusel oil by the use of chlorine isoprene can be prepared, so the chain was complete. but meanwhile the germans had been making equal progress. in prof. karl harries, of berlin, found out the name of the caoutchouc molecule. this discovery was to the chemists what the architect's plan of a house is to the builder. they knew then what they were trying to construct and could go about their task intelligently. mark twain said that he could understand something about how astronomers could measure the distance of the planets, calculate their weights and so forth, but he never could see how they could find out their names even with the largest telescopes. this is a joke in astronomy but it is not in chemistry. for when the chemist finds out the structure of a compound he gives it a name which means that. the stuff came to be called "caoutchouc," because that was the way the spaniards of columbus's time caught the indian word "cahuchu." when dr. priestley called it "india rubber" he told merely where it came from and what it was good for. but when harries named it " - -dimethyl-cyclo-octadien- - " any chemist could draw a picture of it and give a guess as to how it could be made. even a person without any knowledge of chemistry can get the main point of it by merely looking at this diagram: c c c---c || || || | c--c c c--c c | | --> | | c c--c c c--c || || | || c c c---c [illustration: isoprene _turns into_ caoutchouc] i have dropped the h's or hydrogen atoms of the formula for simplicity's sake. they simply hook on wherever they can. you will see that the isoprene consists of a chain of four carbon atoms (represented by the c's) with an extra carbon on the side. in the transformation of this colorless liquid into soft rubber two of the double linkages break and so permit the two chains of c's to unite to form one ring of eight. if you have ever played ring-around-a-rosy you will get the idea. in chapter iv i explained that the anilin dyes are built up upon the benzene ring of six carbon atoms. the rubber ring consists of eight at least and probably more. any substance containing that peculiar carbon chain with two double links c=c-c=c can double up--polymerize, the chemist calls it--into a rubber-like substance. so we may have many kinds of rubber, some of which may prove to be more useful than that which happens to be found in nature. with the structural formula of harries as a clue chemists all over the world plunged into the problem with renewed hope. the famous bayer dye works at elberfeld took it up and there in august, , dr. fritz hofmann worked out a process for the converting of pure isoprene into rubber by heat. then in harries happened upon the same sodium reaction as matthews, but when he came to get it patented he found that the englishman had beaten him to the patent office by a few weeks. this anglo-german rivalry came to a dramatic climax in at the great hall of the college of the city of new york when dr. carl duisberg, of the elberfeld factory, delivered an address on the latest achievements of the chemical industry before the eighth--and the last for a long time--international congress of applied chemistry. duisberg insisted upon talking in german, although more of his auditors would have understood him in english. he laid full emphasis upon german achievements and cast doubt upon the claim of "the englishman tilden" to have prepared artificial rubber in the eighties. perkin, of manchester, confronted him with his new process for making rubber from potatoes, but duisberg countered by proudly displaying two automobile tires made of synthetic rubber with which he had made a thousand-mile run. the intense antagonism between the british and german chemists at this congress was felt by all present, but we did not foresee that in two years from that date they would be engaged in manufacturing poison gas to fire at one another. it was, however, realized that more was at stake than personal reputation and national prestige. under pressure of the new demand for automobiles the price of rubber jumped from $ . to $ a pound in , and millions had been invested in plantations. if professor perkin was right when he told the congress that by his process rubber could be made for less than cents a pound it meant that these plantations would go the way of the indigo plantations when the germans succeeded in making artificial indigo. if dr. duisberg was right when he told the congress that synthetic rubber would "certainly appear on the market in a very short time," it meant that germany in war or peace would become independent of brazil in the matter of rubber as she had become independent of chile in the matter of nitrates. as it turned out both scientists were too sanguine. synthetic rubber has not proved capable of displacing natural rubber by underbidding it nor even of replacing natural rubber when this is shut out. when germany was blockaded and the success of her armies depended on rubber, price was no object. three danish sailors who were caught by united states officials trying to smuggle dental rubber into germany confessed that they had been selling it there for gas masks at $ a pound. the german gas masks in the latter part of the war were made without rubber and were frail and leaky. they could not have withstood the new gases which american chemists were preparing on an unprecedented scale. every scrap of old rubber in germany was saved and worked over and over and diluted with fillers and surrogates to the limit of elasticity. spring tires were substituted for pneumatics. so it is evident that the supply of synthetic rubber could not have been adequate or satisfactory. neither, on the other hand, have the british made a success of the perkin process, although they spent $ , on it in the first two years. but, of course, there was not the same necessity for it as in the case of germany, for england had practically a monopoly of the world's supply of natural rubber either through owning plantations or controlling shipping. if rubber could not be manufactured profitably in germany when the demand was imperative and price no consideration it can hardly be expected to compete with the natural under peace conditions. the problem of synthetic rubber has then been solved scientifically but not industrially. it can be made but cannot be made to pay. the difficulty is to find a cheap enough material to start with. we can make rubber out of potatoes--but potatoes have other uses. it would require more land and more valuable land to raise the potatoes than to raise the rubber. we can get isoprene by the distillation of turpentine--but why not bleed a rubber tree as well as a pine tree? turpentine is neither cheap nor abundant enough. any kind of wood, sawdust for instance, can be utilized by converting the cellulose over into sugar and fermenting this to alcohol, but the process is not likely to prove profitable. petroleum when cracked up to make gasoline gives isoprene or other double-bond compounds that go over into some form of rubber. but the most interesting and most promising of all is the complete inorganic synthesis that dispenses with the aid of vegetation and starts with coal and lime. these heated together in the electric furnace form calcium carbide and this, as every automobilist knows, gives acetylene by contact with water. from this gas isoprene can be made and the isoprene converted into rubber by sodium, or acid or alkali or simple heating. acetone, which is also made from acetylene, can be converted directly into rubber by fuming sulfuric acid. this seems to have been the process chiefly used by the germans during the war. several carbide factories were devoted to it. but the intermediate and by-products of the process, such as alcohol, acetic acid and acetone, were in as much demand for war purposes as rubber. the germans made some rubber from pitch imported from sweden. they also found a useful substitute in aluminum naphthenate made from baku petroleum, for it is elastic and plastic and can be vulcanized. so although rubber can be made in many different ways it is not profitable to make it in any of them. we have to rely still upon the natural product, but we can greatly improve upon the way nature produces it. when the call came for more rubber for the electrical and automobile industries the first attempt to increase the supply was to put pressure upon the natives to bring in more of the latex. as a consequence the trees were bled to death and sometimes also the natives. the belgian atrocities in the congo shocked the civilized world and at putumayo on the upper amazon the same cause produced the same horrible effects. but no matter what cruelty was practiced the tropical forests could not be made to yield a sufficient increase, so the cultivation of the rubber was begun by far-sighted men in dutch java, sumatra and borneo and in british malaya and ceylon. brazil, feeling secure in the possession of a natural monopoly, made no effort to compete with these parvenus. it cost about as much to gather rubber from the amazon forests as it did to raise it on a malay plantation, that is, cents a pound. the brazilian government clapped on another cents export duty and spent the money lavishly. in the treasury of para took in $ , , from the rubber tax and a good share of the money was spent on a magnificent new theater at manaos--not on setting out rubber trees. the result of this rivalry between the collector and the cultivator is shown by the fact that in the decade - the world's output of plantation rubber increased from to , tons, while the output of wild rubber decreased from , to , . besides this the plantation rubber is a cleaner and more even product, carefully coagulated by acetic acid instead of being smoked over a forest fire. it comes in pale yellow sheets instead of big black balls loaded with the dirt or sticks and stones that the honest indian sometimes adds to make a bigger lump. what's better, the man who milks the rubber trees on a plantation may live at home where he can be decently looked after. the agriculturist and the chemist may do what the philanthropist and statesman could not accomplish: put an end to the cruelties involved in the international struggle for "black gold." the united states uses three-fourths of the world's rubber output and grows none of it. what is the use of tropical possessions if we do not make use of them? the philippines could grow all our rubber and keep a $ , , business under our flag. santo domingo, where rubber was first discovered, is now under our supervision and could be enriched by the industry. the guianas, where the rubber tree was first studied, might be purchased. it is chiefly for lack of a definite colonial policy that our rubber industry, by far the largest in the world, has to be dependent upon foreign sources for all its raw materials. because the philippines are likely to be cast off at any moment, american manufacturers are placing their plantations in the dutch or british possessions. the goodyear company has secured a concession of , acres near medan in dutch sumatra. while the united states is planning to relinquish its pacific possessions the british have more than doubled their holdings in new guinea by the acquisition of kaiser wilhelm's land, good rubber country. the british malay states in exported over $ , , worth of plantation-grown rubber and could have sold more if shipping had not been short and production restricted. fully per cent. of the cultivated rubber is now grown in british colonies or on british plantations in the dutch east indies. to protect this monopoly an act has been passed preventing foreigners from buying more land in the malay peninsula. the japanese have acquired there , acres, on which they are growing more than a million dollars' worth of rubber a year. the british _tropical life_ says of the american invasion: "as america is so extremely wealthy uncle sam can well afford to continue to buy our rubber as he has been doing instead of coming in to produce rubber to reduce his competition as a buyer in the world's market." the malaya estates calculate to pay a dividend of per cent. on the investment with rubber selling at cents a pound and every two cents additional on the price brings a further - / per cent. dividend. the output is restricted by the rubber growers' association so as to keep the price up to - cents. when the plantations first came into bearing in rubber was bringing nearly $ a pound, and since it can be produced at less than cents a pound we can imagine the profits of the early birds. the fact that the world's rubber trade was in the control of great britain caused america great anxiety and financial loss in the early part of the war when the british government, suspecting--not without reason--that some american rubber goods were getting into germany through neutral nations, suddenly shut off our supply. this threatened to kill the fourth largest of our industries and it was only by the submission of american rubber dealers to the closest supervision and restriction by the british authorities that they were allowed to continue their business. sir francis hopwood, in laying down these regulations, gave emphatic warning "that in case any manufacturer, importer or dealer came under suspicion his permits should be immediately revoked. reinstatement will be slow and difficult. the british government will cancel first and investigate afterward." of course the british had a right to say under what conditions they should sell their rubber and we cannot blame them for taking such precautions to prevent its getting to their enemies, but it placed the united states in a humiliating position and if we had not been in sympathy with their side it would have aroused more resentment than it did. but it made evident the desirability of having at least part of our supply under our own control and, if possible, within our own country. rubber is not rare in nature, for it is contained in almost every milky juice. every country boy knows that he can get a self-feeding mucilage brush by cutting off a milkweed stalk. the only native source so far utilized is the guayule, which grows wild on the deserts of the mexican and the american border. the plant was discovered in by dr. j.m. bigelow near escondido creek, texas. professor asa gray described it and named it parthenium argentatum, or the silver pallas. when chopped up and macerated guayule gives a satisfactory quality of caoutchouc in profitable amounts. in seven thousand tons of guayule were imported from mexico; in only seventeen hundred tons. why this falling off? because the eager exploiters had killed the goose that laid the golden egg, or in plain language, pulled up the plant by the roots. now guayule is being cultivated and is reaped instead of being uprooted. experiments at the tucson laboratory have recently removed the difficulty of getting the seed to germinate under cultivation. this seems the most promising of the home-grown plants and, until artificial rubber can be made profitable, gives us the only chance of being in part independent of oversea supply. there are various other gums found in nature that can for some purposes be substituted for caoutchouc. gutta percha, for instance, is pliable and tough though not very elastic. it becomes plastic by heat so it can be molded, but unlike rubber it cannot be hardened by heating with sulfur. a lump of gutta percha was brought from java in and placed in a british museum, where it lay for nearly a hundred years before it occurred to anybody to do anything with it except to look at it. but a german electrician, siemens, discovered in that gutta percha was valuable for insulating telegraph lines and it found extensive employment in submarine cables as well as for golf balls, and the like. balata, which is found in the forests of the guianas, is between gutta percha and rubber, not so good for insulation but useful for shoe soles and machine belts. the bark of the tree is so thick that the latex does not run off like caoutchouc when the bark is cut. so the bark has to be cut off and squeezed in hand presses. formerly this meant cutting down the tree, but now alternate strips of the bark are cut off and squeezed so the tree continues to live. when columbus discovered santo domingo he found the natives playing with balls made from the gum of the caoutchouc tree. the soldiers of pizarro, when they conquered inca-land, adopted the peruvian custom of smearing caoutchouc over their coats to keep out the rain. a french scientist, m. de la condamine, who went to south america to measure the earth, came back in with some specimens of caoutchouc from para as well as quinine from peru. the vessel on which he returned, the brig _minerva_, had a narrow escape from capture by an english cruiser, for great britain was jealous of any trespassing on her american sphere of influence. the old world need not have waited for the discovery of the new, for the rubber tree grows wild in annam as well as brazil, but none of the asiatics seems to have discovered any of the many uses of the juice that exudes from breaks in the bark. the first practical use that was made of it gave it the name that has stuck to it in english ever since. magellan announced in that it was good to remove pencil marks. a lump of it was sent over from france to priestley, the clergyman chemist who discovered oxygen and was mobbed out of manchester for being a republican and took refuge in pennsylvania. he cut the lump into little cubes and gave them to his friends to eradicate their mistakes in writing or figuring. then they asked him what the queer things were and he said that they were "india rubbers." [illustration: forest rubber compare this tropical tangle and gnarled trunk with the straight tree and cleared ground of the plantation. at the foot of the trunk are cups collecting rubber juice.] [illustration: plantation rubber this spiral cut draws off the milk as completely and quickly as possible without harming the tree. the man is pulling off a strip of coagulated rubber that clogs it.] [illustration: in making garden hose the rubber is formed into a tube by the machine on the right and coiled on the table to the left] the peruvian natives had used caoutchouc for water-proof clothing, shoes, bottles and syringes, but europe was slow to take it up, for the stuff was too sticky and smelled too bad in hot weather to become fashionable in fastidious circles. in mackintosh made his name immortal by putting a layer of rubber between two cloths. a german chemist, ludersdorf, discovered in that the gum could be hardened by treating it with sulfur dissolved in turpentine. but it was left to a yankee inventor, charles goodyear, of connecticut, to work out a practical solution of the problem. a friend of his, hayward, told him that it had been revealed to him in a dream that sulfur would harden rubber, but unfortunately the angel or defunct chemist who inspired the vision failed to reveal the details of the process. so hayward sold out his dream to goodyear, who spent all his own money and all he could borrow from his friends trying to convert it into a reality. he worked for ten years on the problem before the "lucky accident" came to him. one day in he happened to drop on the hot stove of the kitchen that he used as a laboratory a mixture of caoutchouc and sulfur. to his surprise he saw the two substances fuse together into something new. instead of the soft, tacky gum and the yellow, brittle brimstone he had the tough, stable, elastic solid that has done so much since to make our footing and wheeling safe, swift and noiseless. the gumshoes or galoshes that he was then enabled to make still go by the name of "rubbers" in this country, although we do not use them for pencil erasers. goodyear found that he could vary this "vulcanized rubber" at will. by adding a little more sulfur he got a hard substance which, however, could be softened by heat so as to be molded into any form wanted. out of this "hard rubber" "vulcanite" or "ebonite" were made combs, hairpins, penholders and the like, and it has not yet been superseded for some purposes by any of its recent rivals, the synthetic resins. the new form of rubber made by the germans, methyl rubber, is said to be a superior substitute for the hard variety but not satisfactory for the soft. the electrical resistance of the synthetic product is per cent, higher than the natural, so it is excellent for insulation, but it is inferior in elasticity. in the latter part of the war the methyl rubber was manufactured at the rate of tons a month. the first pneumatic tires, known then as "patent aerial wheels," were invented by robert william thomson of london in . on the following year a carriage equipped with them was seen in the streets of new york city. but the pneumatic tire did not come into use until after , when an irish horse-doctor, john boyd dunlop, of belfast, tied a rubber tube around the wheels of his little son's velocipede. within seven years after that a $ , , corporation was manufacturing dunlop tires. later america took the lead in this business. in the united states exported $ , , worth of tires and tubes. in the american exports rose to $ , , , not counting what went to the allies. the number of pneumatic tires sold in is estimated at , , , which at an average cost of $ would amount to $ , , . no matter how much synthetic rubber may be manufactured or how many rubber trees are set out there is no danger of glutting the market, for as the price falls the uses of rubber become more numerous. one can think of a thousand ways in which rubber could be used if it were only cheap enough. in the form of pads and springs and tires it would do much to render traffic noiseless. even the elevated railroad and the subway might be opened to conversation, and the city made habitable for mild voiced and gentle folk. it would make one's step sure, noiseless and springy, whether it was used individualistically as rubber heels or collectivistically as carpeting and paving. in roofing and siding and paint it would make our buildings warmer and more durable. it would reduce the cost and permit the extension of electrical appliances of almost all kinds. in short, there is hardly any other material whose abundance would contribute more to our comfort and convenience. noise is an automatic alarm indicating lost motion and wasted energy. silence is economy and resiliency is superior to resistance. a gumshoe outlasts a hobnailed sole and a rubber tube full of air is better than a steel tire. ix the rival sugars the ancient greeks, being an inquisitive and acquisitive people, were fond of collecting tales of strange lands. they did not care much whether the stories were true or not so long as they were interesting. among the marvels that the greeks heard from the far east two of the strangest were that in india there were plants that bore wool without sheep and reeds that bore honey without bees. these incredible tales turned out to be true and in the course of time europe began to get a little calico from calicut and a kind of edible gravel that the arabs who brought it called "sukkar." but of course only kings and queens could afford to dress in calico and have sugar prescribed for them when they were sick. fortunately, however, in the course of time the arabs invaded spain and forced upon the unwilling inhabitants of europe such instrumentalities of higher civilization as arithmetic and algebra, soap and sugar. later the spaniards by an act of equally unwarranted and beneficent aggression carried the sugar cane to the caribbean, where it thrived amazingly. the west indies then became a rival of the east indies as a treasure-house of tropical wealth and for several centuries the spanish, portuguese, dutch, english, danes and french fought like wildcats to gain possession of this little nest of islands and the routes leading thereunto. the english finally overcame all these enemies, whether they fought her singly or combined. great britain became mistress of the seas and took such caribbean lands as she wanted. but in the end her continental foes came out ahead, for they rendered her victory valueless. they were defeated in geography but they won in chemistry. canning boasted that "the new world had been called into existence to redress the balance of the old." napoleon might have boasted that he had called in the sugar beet to balance the sugar cane. france was then, as germany was a century later, threatening to dominate the world. england, then as in the great war, shut off from the seas the shipping of the aggressive power. france then, like germany later, felt most keenly the lack of tropical products, chief among which, then but not in the recent crisis, was sugar. the cause of this vital change is that in marggraf, a berlin chemist, discovered that it was possible to extract sugar from beets. there was only a little sugar in the beet root then, some six per cent., and what he got out was dirty and bitter. one of his pupils in set up a beet sugar factory near breslau under the patronage of the king of prussia, but the industry was not a success until napoleon took it up and in offered a prize of a million francs for a practical process. how the french did make fun of him for this crazy notion! in a comic paper of that day you will find a cartoon of napoleon in the nursery beside the cradle of his son and heir, the king of rome--known to the readers of rostand as l'aiglon. the emperor is squeezing the juice of a beet into his coffee and the nurse has put a beet into the mouth of the infant king, saying: "suck, dear, suck. your father says it's sugar." in like manner did the wits ridicule franklin for fooling with electricity, rumford for trying to improve chimneys, parmentier for thinking potatoes were fit to eat, and jefferson for believing that something might be made of the country west of the mississippi. in all ages ridicule has been the chief weapon of conservatism. if you want to know what line human progress will take in the future read the funny papers of today and see what they are fighting. the satire of every century from aristophanes to the latest vaudeville has been directed against those who are trying to make the world wiser or better, against the teacher and the preacher, the scientist and the reformer. in spite of the ridicule showered upon it the despised beet year by year gained in sweetness of heart. the percentage of sugar rose from six to eighteen and by improved methods of extraction became finally as pure and palatable as the sugar of the cane. an acre of german beets produces more sugar than an acre of louisiana cane. continental europe waxed wealthy while the british west indies sank into decay. as the beets of europe became sweeter the population of the islands became blacker. before the war england was paying out $ , , for sugar, and more than two-thirds of this money was going to germany and austria-hungary. fostered by scientific study, protected by tariff duties, and stimulated by export bounties, the beet sugar industry became one of the financial forces of the world. the english at home, especially the marmalade-makers, at first rejoiced at the idea of getting sugar for less than cost at the expense of her continental rivals. but the suffering colonies took another view of the situation. in a conference of the powers called at london agreed to stop competing by the pernicious practice of export bounties, but france and the united states refused to enter, so the agreement fell through. another conference ten years later likewise failed, but when the parvenu beet sugar ventured to invade the historic home of the cane the limit of toleration had been reached. the council of india put on countervailing duties to protect their homegrown cane from the bounty-fed beet. this forced the calling of a convention at brussels in "to equalize the conditions of competition between beet sugar and cane sugar of the various countries," at which the powers agreed to a mutual suppression of bounties. beet sugar then divided the world's market equally with cane sugar and the two rivals stayed substantially neck and neck until the great war came. this shut out from england the product of germany, austria-hungary, belgium, northern france and russia and took the farmers from their fields. the battle lines of the central powers enclosed the land which used to grow a third of the world's supply of sugar. in the beet and the cane each supplied about nine million tons of sugar. in the output of cane sugar was , , and of beet sugar , , tons. consequently the old world had to draw upon the new. cuba, on which the united states used to depend for half its sugar supply, sent over , tons of raw sugar to england in . the united states sent as much more refined sugar. the lack of shipping interfered with our getting sugar from our tropical dependencies, hawaii, porto rico and the philippines. the homegrown beets give us only a fifth and the cane of louisiana and texas only a fifteenth of the sugar we need. as a result we were obliged to file a claim in advance to get a pound of sugar from the corner grocery and then we were apt to be put off with rock candy, muscovado or honey. lemon drops proved useful for russian tea and the "long sweetening" of our forefathers came again into vogue in the form of various syrups. the united states was accustomed to consume almost a fifth of all the sugar produced in the world--and then we could not get it. [illustration: map showing location of european beet sugar factories--also battle lines at close of estimated that one-third of worlds production before the war was produced within battle lines courtesy american sugar refining co.] the shortage made us realize how dependent we have become upon sugar. yet it was, as we have seen, practically unknown to the ancients and only within the present generation has it become an essential factor in our diet. as soon as the chemist made it possible to produce sugar at a reasonable price all nations began to buy it in proportion to their means. americans, as the wealthiest people in the world, ate the most, ninety pounds a year on the average for every man, woman and child. in other words we ate our weight of sugar every year. the english consumed nearly as much as the americans; the french and germans about half as much; the balkan peoples less than ten pounds per annum; and the african savages none. [illustration: how the sugar beet has gained enormously in sugar content under chemical control] pure white sugar is the first and greatest contribution of chemistry to the world's dietary. it is unique in being a single definite chemical compound, sucrose, c_{ }h_{ }o_{ }. all natural nutriments are more or less complex mixtures. many of them, like wheat or milk or fruit, contain in various proportions all of the three factors of foods, the fats, the proteids and the carbohydrates, as well as water and the minerals and other ingredients necessary to life. but sugar is a simple substance, like water or salt, and like them is incapable of sustaining life alone, although unlike them it is nutritious. in fact, except the fats there is no more nutritious food than sugar, pound for pound, for it contains no water and no waste. it is therefore the quickest and usually the cheapest means of supplying bodily energy. but as may be seen from its formula as given above it contains only three elements, carbon, hydrogen and oxygen, and omits nitrogen and other elements necessary to the body. an engine requires not only coal but also lubricating oil, water and bits of steel and brass to keep it in repair. but as a source of the energy needed in our strenuous life sugar has no equal and only one rival, alcohol. alcohol is the offspring of sugar, a degenerate descendant that retains but few of the good qualities of its sire and has acquired some evil traits of its own. alcohol, like sugar, may serve to furnish the energy of a steam engine or a human body. used as a fuel alcohol has certain advantages, but used as a food it has the disqualification of deranging the bodily mechanism. even a little alcohol will impair the accuracy and speed of thought and action, while a large quantity, as we all know from observation if not experience, will produce temporary incapacitation. when man feeds on sugar he splits it up by the aid of air into water and carbon dioxide in this fashion: c_{ }h_{ }o_{ } + o_{ } --> h_{ }o + co_{ } cane sugar oxygen water carbon dioxide when sugar is burned the reaction is just the same. but when the yeast plant feeds on sugar it carries the process only part way and instead of water the product is alcohol, a very different thing, so they say who have tried both as beverages. the yeast or fermentation reaction is this: c_{ }h_{ }o_{ } + h_{ }o --> c_{ }h_{ }o + co_{ } cane sugar water alcohol carbon dioxide alcohol then is the first product of the decomposition of sugar, a dangerous half-way house. the twin product, carbon dioxide or carbonic acid, is a gas of slightly sour taste which gives an attractive tang and effervescence to the beer, wine, cider or champagne. that is to say, one of these twins is a pestilential fellow and the other is decidedly agreeable. yet for several thousand years mankind took to the first and let the second for the most part escape into the air. but when the chemist appeared on the scene he discovered a way of separating the two and bottling the harmless one for those who prefer it. an increasing number of people were found to prefer it, so the american soda-water fountain is gradually driving demon rum out of the civilized world. the brewer nowadays caters to two classes of customers. he bottles up the beer with the alcohol and a little carbonic acid in it for the saloon and he catches the rest of the carbonic acid that he used to waste and sells it to the drug stores for soda-water or uses it to charge some non-alcoholic beer of his own. this catering to rival trades is not an uncommon thing with the chemist. as we have seen, the synthetic perfumes are used to improve the natural perfumes. cottonseed is separated into oil and meal; the oil going to make margarin and the meal going to feed the cows that produce butter. some people have been drinking coffee, although they do not like the taste of it, because they want the stimulating effect of its alkaloid, caffein. other people liked the warmth and flavor of coffee but find that caffein does not agree with them. formerly one had to take the coffee whole or let it alone. now one can have his choice, for the caffein is extracted for use in certain popular cold drinks and the rest of the bean sold as caffein-free coffee. most of the "soft drinks" that are now gradually displacing the hard ones consist of sugar, water and carbonic acid, with various flavors, chiefly the esters of the fatty and aromatic acids, such as i described in a previous chapter. these are still usually made from fruits and spices and in some cases the law or public opinion requires this, but eventually, i presume, the synthetic flavors will displace the natural and then we shall get rid of such extraneous and indigestible matter as seeds, skins and bark. suppose the world had always been used to synthetic and hence seedless figs, strawberries and blackberries. suppose then some manufacturer of fig paste or strawberry jam should put in ten per cent. of little round hard wooden nodules, just the sort to get stuck between the teeth or caught in the vermiform appendix. how long would it be before he was sent to jail for adulterating food? but neither jail nor boycott has any reformatory effect on nature. nature is quite human in that respect. but you can reform nature as you can human beings by looking out for heredity and culture. in this way mother nature has been quite cured of her bad habit of putting seeds in bananas and oranges. figs she still persists in adulterating with particles of cellulose as nutritious as sawdust. but we can circumvent the old lady at this. i got on christmas a package of figs from california without a seed in them. somebody had taken out all the seeds--it must have been a big job--and then put the figs together again as natural looking as life and very much better tasting. sugar and alcohol are both found in nature; sugar in the ripe fruit, alcohol when it begins to decay. but it was the chemist who discovered how to extract them. he first worked with alcohol and unfortunately succeeded. previous to the invention of the still by the arabian chemists man could not get drunk as quickly as he wanted to because his liquors were limited to what the yeast plant could stand without intoxication. when the alcoholic content of wine or beer rose to seventeen per cent. at the most the process of fermentation stopped because the yeast plants got drunk and quit "working." that meant that a man confined to ordinary wine or beer had to drink ten or twenty quarts of water to get one quart of the stuff he was after, and he had no liking for water. so the chemist helped him out of this difficulty and got him into worse trouble by distilling the wine. the more volatile part that came over first contained the flavor and most of the alcohol. in this way he could get liquors like brandy and whisky, rum and gin, containing from thirty to eighty per cent. of alcohol. this was the origin of the modern liquor problem. the wine of the ancients was strong enough to knock out noah and put the companions of socrates under the table, but it was not until distilled liquors came in that alcoholism became chronic, epidemic and ruinous to whole populations. but the chemist later tried to undo the ruin he had quite inadvertently wrought by introducing alcohol into the world. one of his most successful measures was the production of cheap and pure sugar which, as we have seen, has become a large factor in the dietary of civilized countries. as a country sobers up it takes to sugar as a "self-starter" to provide the energy needed for the strenuous life. a five o'clock candy is a better restorative than a five o'clock highball or even a five o'clock tea, for it is a true nutrient instead of a mere stimulant. it is a matter of common observation that those who like sweets usually do not like alcohol. women, for instance, are apt to eat candy but do not commonly take to alcoholic beverages. look around you at a banquet table and you will generally find that those who turn down their wine glasses generally take two lumps in their demi-tasses. we often hear it said that whenever a candy store opens up a saloon in the same block closes up. our grandmothers used to warn their daughters: "don't marry a man who does not want sugar in his tea. he is likely to take to drink." so, young man, when next you give a box of candy to your best girl and she offers you some, don't decline it. eat it and pretend to like it, at least, for it is quite possible that she looked into a physiology and is trying you out. you never can tell what girls are up to. in the army and navy ration the same change has taken place as in the popular dietary. the ration of rum has been mostly replaced by an equivalent amount of candy or marmalade. instead of the tippling trooper of former days we have "the chocolate soldier." no previous war in history has been fought so largely on sugar and so little on alcohol as the last one. when the war reduced the supply and increased the demand we all felt the sugar famine and it became a mark of patriotism to refuse candy and to drink coffee unsweetened. this, however, is not, as some think, the mere curtailment of a superfluous or harmful luxury, the sacrifice of a pleasant sensation. it is a real deprivation and a serious loss to national nutrition. for there is no reason to think the constantly rising curve of sugar consumption has yet reached its maximum or optimum. individuals overeat, but not the population as a whole. according to experiments of the department of agriculture men doing heavy labor may add three-quarters of a pound of sugar to their daily diet without any deleterious effects. this is at the rate of pounds a year, which is three times the average consumption of england and america. but the department does not state how much a girl doing nothing ought to eat between meals. of the to calories of energy required to keep a man going for a day the best source of supply is the carbohydrates, that is, the sugars and starches. the fats are more concentrated but are more expensive and less easily assimilable. the proteins are also more expensive and their decomposition products are more apt to clog up the system. common sugar is almost an ideal food. cheap, clean, white, portable, imperishable, unadulterated, pleasant-tasting, germ-free, highly nutritious, completely soluble, altogether digestible, easily assimilable, requires no cooking and leaves no residue. its only fault is its perfection. it is so pure that a man cannot live on it. four square lumps give one hundred calories of energy. but twenty-five or thirty-five times that amount would not constitute a day's ration, in fact one would ultimately starve on such fare. it would be like supplying an army with an abundance of powder but neglecting to provide any bullets, clothing or food. to make sugar the sole food is impossible. to make it the main food is unwise. it is quite proper for man to separate out the distinct ingredients of natural products--to extract the butter from the milk, the casein from the cheese, the sugar from the cane--but he must not forget to combine them again at each meal with the other essential foodstuffs in their proper proportion. [illustration: the rival sugars the sugar beet of the north has become a close rival of the sugar cane of the south] [illustration: interior of a sugar mill showing the machinery for crushing cane to extract the juice] [illustration: courtesy of american sugar refinery co. vacuum pans of the american sugar refinery company in these air-tight vats the water is boiled off from the cane juice under diminished atmospheric pressure until the sugar crystallizes out] sugar is not a synthetic product and the business of the chemist has been merely to extract and purify it. but this is not so simple as it seems and every sugar factory has had to have its chemist. he has analyzed every mother beet for a hundred years. he has watched every step of the process from the cane to the crystal lest the sucrose should invert to the less sweet and non-crystallizable glucose. he has tested with polarized light every shipment of sugar that has passed through the custom house, much to the mystification of congressmen who have often wondered at the money and argumentation expended in a tariff discussion over the question of the precise angle of rotation of the plane of vibration of infinitesimal waves in a hypothetical ether. the reason for this painstaking is that there are dozens of different sugars, so much alike that they are difficult to separate. they are all composed of the same three elements, c, h and o, and often in the same proportion. sometimes two sugars differ only in that one has a right-handed and the other a left-handed twist to its molecule. they bear the same resemblance to one another as the two gloves of a pair. cane sugar and beet sugar are when completely purified the same substance, that is, sucrose, c_{ }h_{ }o_{ }. the brown and straw-colored sugars, which our forefathers used and which we took to using during the war, are essentially the same but have not been so completely freed from moisture and the coloring and flavoring matter of the cane juice. maple sugar is mostly sucrose. so partly is honey. candies are made chiefly of sucrose with the addition of glucose, gums or starch, to give them the necessary consistency and of such colors and flavors, natural or synthetic, as may be desired. practically all candy, even the cheapest, is nowadays free from deleterious ingredients in the manufacture, though it is liable to become contaminated in the handling. in fact sugar is about the only food that is never adulterated. it would be hard to find anything cheaper to add to it that would not be easily detected. "sanding the sugar," the crime of which grocers are generally accused, is the one they are least likely to be guilty of. besides the big family of sugars which are all more or less sweet, similar in structure and about equally nutritious, there are, very curiously, other chemical compounds of altogether different composition which taste like sugar but are not nutritious at all. one of these is a coal-tar derivative, discovered accidentally by an american student of chemistry, ira remsen, afterward president of johns hopkins university, and named by him "saccharin." this has the composition c_{ }h_{ }coso_{ }nh, and as you may observe from the symbol it contains sulfur (s) and nitrogen (n) and the benzene ring (c_{ }h_{ }) that are not found in any of the sugars. it is several hundred times sweeter than sugar, though it has also a slightly bitter aftertaste. a minute quantity of it can therefore take the place of a large amount of sugar in syrups, candies and preserves, so because it lends itself readily to deception its use in food has been prohibited in the united states and other countries. but during the war, on account of the shortage of sugar, it came again into use. the european governments encouraged what they formerly tried to prevent, and it became customary in germany or italy to carry about a package of saccharin tablets in the pocket and drop one or two into the tea or coffee. such reversals of administrative attitude are not uncommon. when the use of hops in beer was new it was prohibited by british law. but hops became customary nevertheless and now the law requires hops to be used in beer. when workingmen first wanted to form unions, laws were passed to prevent them. but now, in australia for instance, the laws require workingmen to form unions. governments naturally tend to a conservative reaction against anything new. it is amusing to turn back to the pure food agitation of ten years ago and read the sensational articles in the newspapers about the poisonous nature of this dangerous drug, saccharin, in view of the fact that it is being used by millions of people in europe in amounts greater than once seemed to upset the tender stomachs of the washington "poison squads." but saccharin does not appear to be responsible for any fatalities yet, though people are said to be heartily sick of it. and well they may be, for it is not a substitute for sugar except to the sense of taste. glucose may correctly be called a substitute for sucrose as margarin for butter, since they not only taste much the same but have about the same food value. but to serve saccharin in the place of sugar is like giving a rubber bone to a dog. it is reported from europe that the constant use of saccharin gives one eventually a distaste for all sweets. this is quite likely, although it means the reversal within a few years of prehistoric food habits. mankind has always associated sweetness with food value, for there are few sweet things found in nature except the sugars. we think we eat sugar because it is sweet. but we do not. we eat it because it is good for us. the reason it tastes sweet to us is because it is good for us. so man makes a virtue out of necessity, a pleasure out of duty, which is the essence of ethics. in the ancient days of ind the great raja trishanku possessed an earthly paradise that had been constructed for his delectation by a magician. therein grew all manner of beautiful flowers, savory herbs and delicious fruits such as had never been known before outside heaven. of them all the raja and his harems liked none better than the reed from which they could suck honey. but indra, being a jealous god, was wroth when he looked down and beheld mere mortals enjoying such delights. so he willed the destruction of the enchanted garden. with drought and tempest it was devastated, with fire and hail, until not a leaf was left of its luxuriant vegetation and the ground was bare as a threshing floor. but the roots of the sugar cane are not destroyed though the stalk be cut down; so when men ventured to enter the desert where once had been this garden of eden, they found the cane had grown up again and they carried away cuttings of it and cultivated it in their gardens. thus it happened that the nectar of the gods descended first to monarchs and their favorites, then was spread among the people and carried abroad to other lands until now any child with a penny in his hand may buy of the best of it. so it has been with many things. so may it be with all things. x what comes from corn the discovery of america dowered mankind with a world of new flora. the early explorers in their haste to gather up gold paid little attention to the more valuable products of field and forest, but in the course of centuries their usefulness has become universally recognized. the potato and tomato, which europe at first considered as unfit for food or even as poisonous, have now become indispensable among all classes. new world drugs like quinine and cocaine have been adopted into every pharmacopeia. cocoa is proving a rival of tea and coffee, and even the banana has made its appearance in european markets. tobacco and chicle occupy the nostrils and jaws of a large part of the human race. maize and rubber are become the common property of mankind, but still may be called american. the united states alone raises four-fifths of the corn and uses three-fourths of the caoutchouc of the world. all flesh is grass. this may be taken in a dietary as well as a metaphorical sense. the graminaceae provide the greater part of the sustenance of man and beast; hay and cereals, wheat, oats, rye, barley, rice, sugar cane, sorghum and corn. from an american viewpoint the greatest of these, physically and financially, is corn. the corn crop of the united states for , amounting to , , , bushels, brought in more money than the wheat, cotton, potato and rye crops all together. when columbus reached the west indies he found the savages playing with rubber balls, smoking incense sticks of tobacco and eating cakes made of a new grain that they called _mahiz_. when pizarro invaded peru he found this same cereal used by the natives not only for food but also for making alcoholic liquor, in spite of the efforts of the incas to enforce prohibition. when the pilgrim fathers penetrated into the woods back of plymouth harbor they discovered a cache of indian corn. so throughout the three americas, from canada to peru, corn was king and it has proved worthy to rank with the rival cereals of other continents, the wheat of europe and the rice of asia. but food habits are hard to change and for the most part the people of the old world are still ignorant of the delights of hasty pudding and indian pudding, of hoe-cake and hominy, of sweet corn and popcorn. i remember thirty years ago seeing on a london stand a heap of dejected popcorn balls labeled "novel american confection. please try one." but nobody complied with this pitiful appeal but me and i was sorry that i did. americans used to respond with a shipload of corn whenever an appeal came from famine sufferers in armenia, russia, ireland, india or austria, but their generosity was chilled when they found that their gift was resented as an insult or as an attempt to poison the impoverished population, who declared that they would rather die than eat it--and some of them did. our department of agriculture sent maize missionaries to europe with farmers and millers as educators and expert cooks to serve free flapjacks and pones, but the propaganda made little impression and today americans are urged to eat more of their own corn because the famished families of the war-stricken region will not touch it. just so the beggars of munich revolted at potato soup when the pioneer of american food chemists, bumford, attempted to introduce this transatlantic dish. but here we are not so much concerned with corn foods as we are with its manufactured products. if you split a kernel in two you will find that it consists of three parts: a hard and horny hull on the outside, a small oily and nitrogenous germ at the point, and a white body consisting mostly of starch. each of these is worked up into various products, as may be seen from the accompanying table. the hull forms bran and may be mixed with the gluten as a cattle food. the corn steeped for several days with sulfurous acid is disintegrated and on being ground the germs are floated off, the gluten or nitrogenous portion washed out, the starch grains settled down and the residue pressed together as oil cake fodder. the refined oil from the germ is marketed as a table or cooking oil under the name of "mazola" and comes into competition with olive, peanut and cottonseed oil in the making of vegetable substitutes for lard and butter. inferior grades may be used for soaps or for glycerin and perhaps nitroglycerin. a bushel of corn yields a pound or more of oil. from the corn germ also is extracted a gum called "paragol" that forms an acceptable substitute for rubber in certain uses. the "red rubber" sponges and the eraser tips to pencils may be made of it and it can contribute some twenty per cent. to the synthetic soles of shoes. [illustration: corn products] starch, which constitutes fifty-five per cent. of the corn kernel, can be converted into a variety of products for dietary and industrial uses. as found in corn, potatoes or any other vegetables starch consists of small, round, white, hard grains, tasteless, and insoluble in cold water. but hot water converts it into a soluble, sticky form which may serve for starching clothes or making cornstarch pudding. carrying the process further with the aid of a little acid or other catalyst it takes up water and goes over into a sugar, dextrose, commonly called "glucose." expressed in chemical shorthand this reaction is c_{ }h_{ }o_{ } + h_{ }o --> c_{ }h_{ }o_{ } starch water dextrose this reaction is carried out on forty million bushels of corn a year in the united states. the "starch milk," that is, the starch grains washed out from the disintegrated corn kernel by water, is digested in large pressure tanks under fifty pounds of steam with a few tenths of one per cent. of hydrochloric acid until the required degree of conversion is reached. then the remaining acid is neutralized by caustic soda, and thereby converted into common salt, which in this small amount does not interfere but rather enhances the taste. the product is the commercial glucose or corn syrup, which may if desired be evaporated to a white powder. it is a mixture of three derivatives of starch in about this proportion: maltose per cent. dextrose per cent. dextrin per cent. there are also present three- or four-tenths of one per cent. salt and as much of the corn protein and a variable amount of water. it will be noticed that the glucose (dextrose), which gives name to the whole, is the least of the three ingredients. maltose, or malt sugar, has the same composition as cane sugar (c_{ }h_{ }o_{ }), but is not nearly so sweet. dextrin, or starch paste, is not sweet at all. dextrose or glucose is otherwise known; as grape sugar, for it is commonly found in grapes and other ripe fruits. it forms half of honey and it is one of the two products into which cane sugar splits up when we take it into the mouth. it is not so sweet as cane sugar and cannot be so readily crystallized, which, however, is not altogether a disadvantage. the process of changing starch into dextrose that takes place in the great steam kettles of the glucose factory is essentially the same as that which takes place in the ripening of fruit and in the digestion of starch. a large part of our nutriment, therefore, consists of glucose either eaten as such in ripe fruits or produced in the mouth or stomach by the decomposition of the starch of unripe fruit, vegetables and cereals. glucose may be regarded as a predigested food. in spite of this well-known fact we still sometimes read "poor food" articles in which glucose is denounced as a dangerous adulterant and even classed as a poison. the other ingredients of commercial glucose, the maltose and dextrin, have of course the same food value as the dextrose, since they are made over into dextrose in the process of digestion. whether the glucose syrup is fit to eat depends, like anything else, on how it is made. if, as was formerly sometimes the case, sulfuric acid was used to effect the conversion of the starch or sulfurous acid to bleach the glucose and these acids were not altogether eliminated, the product might be unwholesome or worse. some years ago in england there was a mysterious epidemic of arsenical poisoning among beer drinkers. on tracing it back it was found that the beer had been made from glucose which had been made from sulfuric acid which had been made from sulfur which had been made from a batch of iron pyrites which contained a little arsenic. the replacement of sulfuric acid by hydrochloric has done away with that danger and the glucose now produced is pure. the old recipe for home-made candy called for the addition of a little vinegar to the sugar syrup to prevent "graining." the purpose of the acid was of course to invert part of the cane sugar to glucose so as to keep it from crystallizing out again. the professional candy-maker now uses the corn glucose for that purpose, so if we accuse him of "adulteration" on that ground we must levy the same accusation against our grandmothers. the introduction of glucose into candy manufacture has not injured but greatly increased the sale of sugar for the same purpose. this is not an uncommon effect of scientific progress, for as we have observed, the introduction of synthetic perfumes has stimulated the production of odoriferous flowers and the price of butter has gone up with the introduction of margarin. so, too, there are more weavers employed and they get higher wages than in the days when they smashed up the first weaving machines, and the same is true of printers and typesetting machines. the popular animosity displayed toward any new achievement of applied science is never justified, for it benefits not only the world as a whole but usually even those interests with which it seems at first to conflict. the chemist is an economizer. it is his special business to hunt up waste products and make them useful. he was, for instance, worried over the waste of the cores and skins and scraps that were being thrown away when apples were put up. apple pulp contains pectin, which is what makes jelly jell, and berries and fruits that are short of it will refuse to "jell." but using these for their flavor he adds apple pulp for pectin and glucose for smoothness and sugar for sweetness and, if necessary, synthetic dyes for color, he is able to put on the market a variety of jellies, jams and marmalades at very low price. the same principle applies here as in the case of all compounded food products. if they are made in cleanly fashion, contain no harmful ingredients and are truthfully labeled there is no reason for objecting to them. but if the manufacturer goes so far as to put strawberry seeds--or hayseed--into his artificial "strawberry jam" i think that might properly be called adulteration, for it is imitating the imperfections of nature, and man ought to be too proud to do that. the old-fashioned open kettle molasses consisted mostly of glucose and other invert sugars together with such cane sugar as could not be crystallized out. but when the vacuum pan was introduced the molasses was impoverished of its sweetness and beet sugar does not yield any molasses. so we now have in its place the corn syrups consisting of about per cent. of glucose and per cent. of sugar flavored with maple or vanillin or whatever we like. it is encouraging to see the bill boards proclaiming the virtues of "karo" syrup and "mazola" oil when only a few years ago the products of our national cereal were without honor in their own country. many other products besides foods are made from corn starch. dextrin serves in place of the old "gum arabic" for the mucilage of our envelopes and stamps. another form of dextrin sold as "kordex" is used to hold together the sand of the cores of castings. after the casting has been made the scorched core can be shaken out. glucose is used in place of sugar as a filler for cheap soaps and for leather. altogether more than a hundred different commercial products are now made from corn, not counting cob pipes. every year the factories of the united states work up over , , bushels of corn into , , pounds of corn syrup, , , pounds of starch, , , pounds of corn sugar, , , pounds of gluten feed, , , pounds of oil and , , pounds of oil cake. two million bushels of cobs are wasted every year in the united states. can't something be made out of them? this is the question that is agitating the chemists of the carbohydrate laboratory of the department of agriculture at washington. they have found it possible to work up the corn cobs into glucose and xylose by heating with acid. but glucose can be more cheaply obtained from other starchy or woody materials and they cannot find a market for the xylose. this is a sort of a sugar but only about half as sweet as that from cane. who can invent a use for it! more promising is the discovery by this laboratory that by digesting the cobs with hot water there can be extracted about per cent. of a gum suitable for bill posting and labeling. since the starches and sugars belong to the same class of compounds as the celluloses they also can be acted upon by nitric acid with the production of explosives like guncotton. nitro-sugar has not come into common use, but nitro-starch is found to be one of safest of the high explosives. on account of the danger of decomposition and spontaneous explosion from the presence of foreign substances the materials in explosives must be of the purest possible. it was formerly thought that tapioca must be imported from java for making nitro-starch. but during the war when shipping was short, the war department found that it could be made better and cheaper from our home-grown corn starch. when the war closed the united states was making , , pounds of nitro-starch a month for loading hand grenades. so, too, the post office department discovered that it could use mucilage made of corn dextrin as well as that which used to be made from tapioca. this is progress in the right direction. it would be well to divert some of the energetic efforts now devoted to the increase of commerce to the discovery of ways of reducing the need for commerce by the development of home products. there is no merit in simply hauling things around the world. in the last chapter we saw how dextrose or glucose could be converted by fermentation into alcohol. since corn starch, as we have seen, can be converted into dextrose, it can serve as a source of alcohol. this was, in fact, one of the earliest misuses to which corn was put, and before the war put a stop to it , , bushels went into the making of whiskey in the united states every year, not counting the moonshiners' output. but even though we left off drinking whiskey the distillers could still thrive. mars is more thirsty than bacchus. the output of whiskey, denatured for industrial purposes, is more than three times what is was before the war, and the price has risen from cents a gallon to cents. this may make it profitable to utilize sugars, starches and cellulose that formerly were out of the question. according to the calculations of the forest products laboratory of madison it costs from to cents a gallon to make alcohol from corn, but it may be made from sawdust at a cost of from to cents. this is not "wood alcohol" (that is, methyl alcohol, ch_{ }o) such as is made by the destructive distillation of wood, but genuine "grain alcohol" (ethyl alcohol, c_{ }h_{ }o), such as is made by the fermentation of glucose or other sugar. the first step in the process is to digest the sawdust or chips with dilute sulfuric acid under heat and pressure. this converts the cellulose (wood fiber) in large part into glucose ("corn sugar") which may be extracted by hot water in a diffusion battery as in extracting the sugar from beet chips. this glucose solution may then be fermented by yeast and the resulting alcohol distilled off. the process is perfectly practicable but has yet to be proved profitable. but the sulfite liquors of the paper mills are being worked up successfully into industrial alcohol. the rapidly approaching exhaustion of our oil fields which the war has accelerated leads us to look around to see what we can get to take the place of gasoline. one of the most promising of the suggested substitutes is alcohol. the united states is exceptionally rich in mineral oil, but some countries, for instance england, germany, france and australia, have little or none. the australian advisory council of science, called to consider the problem, recommends alcohol for stationary engines and motor cars. alcohol has the disadvantage of being less volatile than gasoline so it is hard to start up the engine from the cold. but the lower volatility and ignition point of alcohol are an advantage in that it can be put under a pressure of pounds to the square inch. a pound of gasoline contains fifty per cent. more potential energy than a pound of alcohol, but since the alcohol vapor can be put under twice the compression of the gasoline and requires only one-third the amount of air, the thermal efficiency of an alcohol engine may be fifty per cent. higher than that of a gasoline engine. alcohol also has several other conveniences that can count in its favor. in the case of incomplete combustion the cylinders are less likely to be clogged with carbon and the escaping gases do not have the offensive odor of the gasoline smoke. alcohol does not ignite so easily as gasoline and the fire is more readily put out, for water thrown upon blazing alcohol dilutes it and puts out the flame while gasoline floats on water and the fire is spread by it. it is possible to increase the inflammability of alcohol by mixing with it some hydrocarbon such as gasoline, benzene or acetylene. in the taylor-white process the vapor from low-grade alcohol containing per cent. water is passed over calcium carbide. this takes out the water and adds acetylene gas, making a suitable mixture for an internal combustion engine. alcohol can be made from anything of a starchy, sugary or woody nature, that is, from the main substance of all vegetation. if we start with wood (cellulose) we convert it first into sugar (glucose) and, of course, we could stop here and use it for food instead of carrying it on into alcohol. this provides one factor of our food, the carbohydrate, but by growing the yeast plants on glucose and feeding them with nitrates made from the air we can get the protein and fat. so it is quite possible to live on sawdust, although it would be too expensive a diet for anybody but a millionaire, and he would not enjoy it. glucose has been made from formaldehyde and this in turn made from carbon, hydrogen and oxygen, so the synthetic production of food from the elements is not such an absurdity as it was thought when berthelot suggested it half a century ago. the first step in the making of alcohol is to change the starch over into sugar. this transformation is effected in the natural course of sprouting by which the insoluble starch stored up in the seed is converted into the soluble glucose for the sap of the growing plant. this malting process is that mainly made use of in the production of alcohol from grain. but there are other ways of effecting the change. it may be done by heating with acid as we have seen, or according to a method now being developed the final conversion may be accomplished by mold instead of malt. in applying this method, known as the amylo process, to corn, the meal is mixed with twice its weight of water, acidified with hydrochloric acid and steamed. the mash is then cooled down somewhat, diluted with sterilized water and innoculated with the mucor filaments. as the mash molds the starch is gradually changed over to glucose and if this is the product desired the process may be stopped at this point. but if alcohol is wanted yeast is added to ferment the sugar. by keeping it alkaline and treating with the proper bacteria a high yield of glycerin can be obtained. in the fermentation process for making alcoholic liquors a little glycerin is produced as a by-product. glycerin, otherwise called glycerol, is intermediate between sugar and alcohol. its molecule contains three carbon atoms, while glucose has six and alcohol two. it is possible to increase the yield of glycerin if desired by varying the form of fermentation. this was desired most earnestly in germany during the war, for the british blockade shut off the importation of the fats and oils from which the germans extracted the glycerin for their nitroglycerin. under pressure of this necessity they worked out a process of getting glycerin in quantity from sugar and, news of this being brought to this country by dr. alonzo taylor, the united states treasury department set up a special laboratory to work out this problem. john r. eoff and other chemists working in this laboratory succeeded in getting a yield of twenty per cent. of glycerin by fermenting black strap molasses or other syrup with california wine yeast. during the fermentation it is necessary to neutralize the acetic acid formed with sodium or calcium carbonate. it was estimated that glycerin could be made from waste sugars at about a quarter of its war-time cost, but it is doubtful whether the process would be profitable at normal prices. we can, if we like, dispense with either yeast or bacteria in the production of glycerin. glucose syrup suspended in oil under steam pressure with finely divided nickel as a catalyst and treated with nascent hydrogen will take up the hydrogen and be converted into glycerin. but the yield is poor and the process expensive. food serves substantially the same purpose in the body as fuel in the engine. it provides the energy for work. the carbohydrates, that is the sugars, starches and celluloses, can all be used as fuels and can all--even, as we have seen, the cellulose--be used as foods. the final products, water and carbon dioxide, are in both cases the same and necessarily therefore the amount of energy produced is the same in the body as in the engine. corn is a good example of the equivalence of the two sources of energy. there are few better foods and no better fuels. i can remember the good old days in kansas when we had corn to burn. it was both an economy and a luxury, for--at ten cents a bushel--it was cheaper than coal or wood and preferable to either at any price. the long yellow ears, each wrapped in its own kindling, could be handled without crocking the fingers. each kernel as it crackled sent out a blazing jet of oil and the cobs left a fine bed of coals for the corn popper to be shaken over. driftwood and the pyrotechnic fuel they make now by soaking sticks in strontium and copper salts cannot compare with the old-fashioned corn-fed fire in beauty and the power of evoking visions. doubtless such luxury would be condemned as wicked nowadays, but those who have known the calorific value of corn would find it hard to abandon it altogether, and i fancy that the western farmer's wife, when she has an extra batch of baking to do, will still steal a few ears from the crib. xi solidified sunshine all life and all that life accomplishes depend upon the supply of solar energy stored in the form of food. the chief sources of this vital energy are the fats and the sugars. the former contain two and a quarter times the potential energy of the latter. both, when completely purified, consist of nothing but carbon, hydrogen and oxygen; elements that are to be found freely everywhere in air and water. so when the sunny southland exports fats and oils, starches and sugar, it is then sending away nothing material but what comes back to it in the next wind. what it is sending to the regions of more slanting sunshine is merely some of the surplus of the radiant energy it has received so abundantly, compacted for convenience into a portable and edible form. in previous chapters i have dealt with some of the uses of cotton, its employment for cloth, for paper, for artificial fibers, for explosives, and for plastics. but i have ignored the thing that cotton is attached to and for which, in the economy of nature, the fibers are formed; that is, the seed. it is as though i had described the aeroplane and ignored the aviator whom it was designed to carry. but in this neglect i am but following the example of the human race, which for three thousand years used the fiber but made no use of the seed except to plant the next crop. just as mankind is now divided into the two great classes, the wheat-eaters and the rice-eaters, so the ancient world was divided into the wool-wearers and the cotton-wearers. the people of india wore cotton; the europeans wore wool. when the greeks under alexander fought their way to the far east they were surprised to find wool growing on trees. later travelers returning from cathay told of the same marvel and travelers who stayed at home and wrote about what they had not seen, like sir john maundeville, misunderstood these reports and elaborated a legend of a tree that bore live lambs as fruit. here, for instance, is how a french poetical botanist, delacroix, described it in , as translated from his latin verse: upon a stalk is fixed a living brute, a rooted plant bears quadruped for fruit; it has a fleece, nor does it want for eyes, and from its brows two wooly horns arise. the rude and simple country people say it is an animal that sleeps by day and wakes at night, though rooted to the ground, to feed on grass within its reach around. but modern commerce broke down the barrier between east and west. a new cotton country, the best in the world, was discovered in america. cotton invaded england and after a hard fight, with fists as well as finance, wool was beaten in its chief stronghold. cotton became king and the wool-sack in the house of lords lost its symbolic significance. still two-thirds of the cotton crop, the seed, was wasted and it is only within the last fifty years that methods of using it have been developed to any extent. the cotton crop of the united states for amounted to about , , bales of pounds each. when the great war broke out and no cotton could be exported to germany and little to england the south was in despair, for cotton went down to five or six cents a pound. the national government, regardless of states' rights, was called upon for aid and everybody was besought to "buy a bale." those who responded to this patriotic appeal were well rewarded, for cotton rose as the war went on and sold at twenty-nine cents a pound. [illustration: products and uses of cottonseed] but the chemist has added some $ , , a year to the value of the crop by discovering ways of utilizing the cottonseed that used to be thrown away or burned as fuel. the genealogical table of the progeny of the cottonseed herewith printed will give some idea of their variety. if you will examine a cottonseed you will see first that there is a fine fuzz of cotton fiber sticking to it. these linters can be removed by machinery and used for any purpose where length of fiber is not essential. for instance, they may be nitrated as described in previous articles and used for making smokeless powder or celluloid. on cutting open the seed you will observe that it consists of an oily, mealy kernel encased in a thin brown hull. the hulls, amounting to or pounds in a ton of seed, were formerly burned. now, however, they bring from $ to $ a ton because they can be ground up into cattle-feed or paper stock or used as fertilizer. the kernel of the cottonseed on being pressed yields a yellow oil and leaves a mealy cake. this last, mixed with the hulls, makes a good fodder for fattening cattle. also, adding twenty-five per cent. of the refined cottonseed meal to our war bread made it more nutritious and no less palatable. cottonseed meal contains about forty per cent. of protein and is therefore a highly concentrated and very valuable feeding stuff. before the war we were exporting nearly half a million tons of cottonseed meal to europe, chiefly to germany and denmark, where it is used for dairy cows. the british yeoman, his country's pride, has not yet been won over to the use of any such newfangled fodder and consequently the british manufacturer could not compete with his continental rivals in the seed-crushing business, for he could not dispose of his meal-cake by-product as did they. [illustration: photo by press illustrating service cottonseed oil as it is squeezed from the seed by the presses] [illustration: photo by press illustrating service cottonseed oil as it comes from the compressors flowing out of the faucets when cold it is firm and white like lard] let us now turn to the most valuable of the cottonseed products, the oil. the seed contains about twenty per cent. of oil, most of which can be squeezed out of the hot seeds by hydraulic pressure. it comes out as a red liquid of a disagreeable odor. this is decolorized, deodorized and otherwise purified in various ways: by treatment with alkalies or acids, by blowing air and steam through it, by shaking up with fuller's earth, by settling and filtering. the refined product is a yellow oil, suitable for table use. formerly, on account of the popular prejudice against any novel food products, it used to masquerade as olive oil. now, however, it boldly competes with its ancient rival in the lands of the olive tree and america ships some , barrels of cottonseed oil a year to the mediterranean. the turkish government tried to check the spread of cottonseed oil by calling it an adulterant and prohibiting its mixture with olive oil. the result was that the sale of turkish olive oil fell off because people found its flavor too strong when undiluted. italy imports cottonseed oil and exports her olive oil. denmark imports cottonseed meal and margarine and exports her butter. northern nations are accustomed to hard fats and do not take to oils for cooking or table use as do the southerners. butter and lard are preferred to olive oil and ghee. but this does not rule out cottonseed. it can be combined with the hard fats of animal or vegetable origin in margarine or it may itself be hardened by hydrogen. to understand this interesting reaction which is profoundly affecting international relations it will be necessary to dip into the chemistry of the subject. here are the symbols of the chief ingredients of the fats and oils. please look at them. linoleic acid c_{ }h_{ }o_{ } oleic acid c_{ }h_{ }o_{ } stearic acid c_{ }h_{ }o_{ } don't skip these because you have not studied chemistry. that's why i am giving them to you. if you had studied chemistry you would know them without my telling. just examine them and you will discover the secret. you will see that all three are composed of the same elements, carbon, hydrogen, and oxygen. notice next the number of atoms in each element as indicated by the little low figures on the right of each letter. you observe that all three contain the same number of atoms of carbon and oxygen but differ in the amount of hydrogen. this trifling difference in composition makes a great difference in behavior. the less the hydrogen the lower the melting point. or to say the same thing in other words, fatty substances low in hydrogen are apt to be liquids and those with a full complement of hydrogen atoms are apt to be solids at the ordinary temperature of the air. it is common to call the former "oils" and the latter "fats," but that implies too great a dissimilarity, for the distinction depends on whether we are living in the tropics or the arctic. it is better, therefore, to lump them all together and call them "soft fats" and "hard fats," respectively. fats of the third order, the stearic group, are called "saturated" because they have taken up all the hydrogen they can hold. fats of the other two groups are called "unsaturated." the first, which have the least hydrogen, are the most eager for more. if hydrogen is not handy they will take up other things, for instance oxygen. linseed oil, which consists largely, as the name implies, of linoleic acid, will absorb oxygen on exposure to the air and become hard. that is why it is used in painting. such oils are called "drying" oils, although the hardening process is not really drying, since they contain no water, but is oxidation. the "semi-drying oils," those that will harden somewhat on exposure to the air, include the oils of cottonseed, corn, sesame, soy bean and castor bean. olive oil and peanut oil are "non-drying" and contain oleic compounds (olein). the hard fats, such as stearin, palmitin and margarin, are mostly of animal origin, tallow and lard, though coconut and palm oil contain a large proportion of such saturated compounds. though the chemist talks of the fatty "acids," nobody else would call them so because they are not sour. but they do behave like the acids in forming salts with bases. the alkali salts of the fatty acids are known to us as soaps. in the natural fats they exist not as free acids but as salts of an organic base, glycerin, as i explained in a previous chapter. the natural fats and oils consist of complex mixtures of the glycerin compounds of these acids (known as olein, stearin, etc.), as well as various others of a similar sort. if you will set a bottle of salad oil in the ice-box you will see it separate into two parts. the white, crystalline solid that separates out is largely stearin. the part that remains liquid is largely olein. you might separate them by filtering it cold and if then you tried to sell the two products you would find that the hard fat would bring a higher price than the oil, either for food or soap. if you tried to keep them you would find that the hard fat kept neutral and "sweet" longer than the other. you may remember that the perfumes (as well as their odorous opposites) were mostly unsaturated compounds. so we find that it is the free and unsaturated fatty acids that cause butter and oil to become rank and rancid. obviously, then, we could make money if we could turn soft, unsaturated fats like olein into hard, saturated fats like stearin. referring to the symbols we see that all that is needed to effect the change is to get the former to unite with hydrogen. this requires a little coaxing. the coaxer is called a catalyst. a catalyst, as i have previously explained, is a substance that by its mere presence causes the union of two other substances that might otherwise remain separate. for that reason the catalyst is referred to as "a chemical parson." finely divided metals have a strong catalytic action. platinum sponge is excellent but too expensive. so in this case nickel is used. a nickel salt mixed with charcoal or pumice is reduced to the metallic state by heating in a current of hydrogen. then it is dropped into the tank of oil and hydrogen gas is blown through. the hydrogen may be obtained by splitting water into its two components, hydrogen and oxygen, by means of the electrical current, or by passing steam over spongy iron which takes out the oxygen. the stream of hydrogen blown through the hot oil converts the linoleic acid to oleic and then the oleic into stearic. if you figured up the weights from the symbols given above you would find that it takes about one pound of hydrogen to convert a hundred pounds of olein to stearin and the cost is only about one cent a pound. the nickel is unchanged and is easily separated. a trace of nickel may remain in the product, but as it is very much less than the amount dissolved when food is cooked in nickel-plated vessels it cannot be regarded as harmful. even more unsaturated fats may be hydrogenated. fish oil has hitherto been almost unusable because of its powerful and persistent odor. this is chiefly due to a fatty acid which properly bears the uneuphonious name of clupanodonic acid and has the composition of c_{ }h_{ }o_{ }. by comparing this with the symbol of the odorless stearic acid, c_{ }h_{ }o_{ }, you will see that all the rank fish oil lacks to make it respectable is eight hydrogen atoms. a japanese chemist, tsujimoto, has discovered how to add them and now the reformed fish oil under the names of "talgol" and "candelite" serves for lubricant and even enters higher circles as a soap or food. this process of hardening fats by hydrogenation resulted from the experiments of a french chemist, professor sabatier of toulouse, in the last years of the last century, but, as in many other cases, the germans were the first to take it up and profit by it. before the war the copra or coconut oil from the british asiatic colonies of india, ceylon and malaya went to germany at the rate of $ , , a year. the palm kernels grown in british west africa were shipped, not to liverpool, but to hamburg, $ , , worth annually. here the oil was pressed out and used for margarin and the residual cake used for feeding cows produced butter or for feeding hogs produced lard. half of the copra raised in the british possessions was sent to germany and half of the oil from it was resold to the british margarin candle and soap makers at a handsome profit. the british chemists were not blind to this, but they could do nothing, first because the english politician was wedded to free trade, second, because the english farmer would not use oil cake for his stock. france was in a similar situation. marseilles produced , , gallons of oil from peanuts grown largely in the french african colonies--but shipped the oil-cake on to hamburg. meanwhile the germans, in pursuit of their policy of attaining economic independence, were striving to develop their own tropical territory. the subjects of king george who because they had the misfortune to live in india were excluded from the british south african dominions or mistreated when they did come, were invited to come to german east africa and set to raising peanuts in rivalry to french senegal and british coromandel. before the war germany got half of the egyptian cottonseed and half of the philippine copra. that is one of the reasons why german warships tried to check dewey at manila in and german troops tried to conquer egypt in . but the tide of war set the other way and the german plantations of palmnuts and peanuts in africa have come into british possession and now the british government is starting an educational campaign to teach their farmers to feed oil cake like the germans and their people to eat peanuts like the americans. the germans shut off from the tropical fats supply were hard up for food and for soap, for lubricants and for munitions. every person was given a fat card that reduced his weekly allowance to the minimum. millers were required to remove the germs from their cereals and deliver them to the war department. children were set to gathering horse-chestnuts, elderberries, linden-balls, grape seeds, cherry stones and sunflower heads, for these contain from six to twenty per cent. of oil. even the blue-bottle fly--hitherto an idle creature for whom beelzebub found mischief--was conscripted into the national service and set to laying eggs by the billion on fish refuse. within a few days there is a crop of larvae which, to quote the "chemische zentralblatt," yields forty-five grams per kilogram of a yellow oil. this product, we should hope, is used for axle-grease and nitroglycerin, although properly purified it would be as nutritious as any other--to one who has no imagination. driven to such straits germany would have given a good deal for one of those tropical islands that we are so careless about. it might have been supposed that since the united states possessed the best land in the world for the production of cottonseed, coconuts, peanuts, and corn that it would have led all other countries in the utilization of vegetable oils for food. that this country has not so used its advantage is due to the fact that the new products have not merely had to overcome popular conservatism, ignorance and prejudice--hard things to fight in any case--but have been deliberately checked and hampered by the state and national governments in defense of vested interests. the farmer vote is a power that no politician likes to defy and the dairy business in every state was thoroughly organized. in new york the oleomargarin industry that in was turning out products valued at more than $ , , a year was completely crushed out by state legislation.[ ] the output of the united states, which in had risen to , , pounds, was cut down to , , pounds in by federal legislation. according to the disingenuous custom of american lawmakers the act of was passed through congress as a "revenue measure," although it meant a loss to the government of more than three million dollars a year over what might be produced by a straight two cents a pound tax. a wholesale dealer in oleomargarin was made to pay a higher license than a wholesale liquor dealer. the federal law put a tax of ten cents a pound on yellow oleomargarin and a quarter of a cent a pound on the uncolored. but people--doubtless from pure prejudice--prefer a yellow spread for their bread, so the economical housewife has to work over her oleomargarin with the annatto which is given to her when she buys a package or, if the law prohibits this, which she is permitted to steal from an open box on the grocer's counter. a plausible pretext for such legislation is afforded by the fact that the butter substitutes are so much like butter that they cannot be easily distinguished from it unless the use of annatto is permitted to butter and prohibited to its competitors. fradulent sales of substitutes of any kind ought to be prevented, but the recent pure food legislation in america has shown that it is possible to secure truthful labeling without resorting to such drastic measures. in europe the laws against substitution were very strict, but not devised to restrict the industry. consequently the margarin output of germany doubled in the five years preceding the war and the output of england tripled. in denmark the consumption of margarin rose from . pounds per capita in to . pounds in . yet the butter business, denmark's pride, was not injured, and germany and england imported more butter than ever before. now that the price of butter in america has gone over the seventy-five cent mark congress may conclude that it no longer needs to be protected against competition. the "compound lards" or "lard compounds," consisting usually of cottonseed oil and oleo-stearin, although the latter may now be replaced by hardened oil, met with the same popular prejudice and attempted legislative interference, but succeeded more easily in coming into common use under such names as "cottosuet," "kream krisp," "kuxit," "korno," "cottolene" and "crisco." oleomargarin, now generally abbreviated to margarin, originated, like many other inventions, in military necessity. the french government in offered a prize for a butter substitute for the army that should be cheaper and better than butter in that it did not spoil so easily. the prize was won by a french chemist, mége-mouries, who found that by chilling beef fat the solid stearin could be separated from an oil (oleo) which was the substantially same as that in milk and hence in butter. neutral lard acts the same. this discovery of how to separate the hard and soft fats was followed by improved methods for purifying them and later by the process for converting the soft into the hard fats by hydrogenation. the net result was to put into the hands of the chemist the ability to draw his materials at will from any land and from the vegetable and animal kingdoms and to combine them as he will to make new fat foods for every use; hard for summer, soft for winter; solid for the northerners and liquid for the southerners; white, yellow or any other color, and flavored to suit the taste. the hindu can eat no fat from the sacred cow; the mohammedan and the jew can eat no fat from the abhorred pig; the vegetarian will touch neither; other people will take both. no matter, all can be accommodated. all the fats and oils, though they consist of scores of different compounds, have practically the same food value when freed from the extraneous matter that gives them their characteristic flavors. they are all practically tasteless and colorless. the various vegetable and animal oils and fats have about the same digestibility, per cent.,[ ] and are all ordinarily completely utilized in the body, supplying it with two and a quarter times as much energy as any other food. it does not follow, however, that there is no difference in the products. the margarin men accuse butter of harboring tuberculosis germs from which their product, because it has been heated or is made from vegetable fats, is free. the butter men retort that margarin is lacking in vitamines, those mysterious substances which in minute amounts are necessary for life and especially for growth. both the claim and the objection lose a large part of their force where the margarin, as is customarily the case, is mixed with butter or churned up with milk to give it the familiar flavor. but the difficulty can be easily overcome. the milk used for either butter or margarin should be free or freed from disease germs. if margarin is altogether substituted for butter, the necessary vitamines may be sufficiently provided by milk, eggs and greens. owing to these new processes all the fatty substances of all lands have been brought into competition with each other. in such a contest the vegetable is likely to beat the animal and the southern to win over the northern zones. in europe before the war the proportion of the various ingredients used to make butter substitutes was as follows: average composition of european margarin per cent. animal hard fats vegetable hard fats copra palm-kernel vegetable soft fats cottonseed peanut sesame soya-bean water, milk, salt ___ this is not the composition of any particular brand but the average of them all. the use of a certain amount of the oil of the sesame seed is required by the laws of germany and denmark because it can be easily detected by a chemical color test and so serves to prevent the margarin containing it from being sold as butter. "open sesame!" is the password to these markets. remembering that margarin originally was made up entirely of animal fats, soft and hard, we can see from the above figures how rapidly they are being displaced by the vegetable fats. the cottonseed and peanut oils have replaced the original oleo oil and the tropical oils from the coconut (copra) and african palm are crowding out the animal hard fats. since now we can harden at will any of the vegetable oils it is possible to get along altogether without animal fats. such vegetable margarins were originally prepared for sale in india, but proved unexpectedly popular in europe, and are now being introduced into america. they are sold under various trade names suggesting their origin, such as "palmira," "palmona," "milkonut," "cocose," "coconut oleomargarin" and "nucoa nut margarin." the last named is stated to be made of coconut oil (for the hard fat) and peanut oil (for the soft fat), churned up with a culture of pasteurized milk (to impart the butter flavor). the law requires such a product to be branded "oleomargarine" although it is not. such cases of compulsory mislabeling are not rare. you remember the "pigs is pigs" story. peanut butter has won its way into the american menu without any camouflage whatever, and as a salad oil it is almost equally frank about its lowly origin. this nut, which grows on a vine instead of a tree, and is dug from the ground like potatoes instead of being picked with a pole, goes by various names according to locality, peanuts, ground-nuts, monkey-nuts, arachides and goobers. as it takes the place of cotton oil in some of its products so it takes its place in the fields and oilmills of texas left vacant by the bollweevil. the once despised peanut added some $ , , to the wealth of the south in . the peanut is rich in the richest of foods, some per cent. of oil and per cent. of protein. the latter can be worked up into meat substitutes that will make the vegetarian cease to envy his omnivorous neighbor. thanks largely to the chemist who has opened these new fields of usefulness, the peanut-raiser got $ . a bushel in instead of the cents that he got four years before. it would be impossible to enumerate all the available sources of vegetable oils, for all seeds and nuts contain more or less fatty matter and as we become more economical we shall utilize of what we now throw away. the germ of the corn kernel, once discarded in the manufacture of starch, now yields a popular table oil. from tomato seeds, one of the waste products of the canning factory, can be extracted per cent. of an edible oil. oats contain per cent. of oil. from rape seed the japanese get , tons of oil a year. to the sources previously mentioned may be added pumpkin seeds, poppy seeds, raspberry seeds, tobacco seeds, cockleburs, hazelnuts, walnuts, beechnuts and acorns. the oil-bearing seeds of the tropics are innumerable and will become increasingly essential to the inhabitants of northern lands. it was the realization of this that brought on the struggle of the great powers for the possession of tropical territory which, for years before, they did not think worth while raising a flag over. no country in the future can consider itself safe unless it has secure access to such sources. we had a sharp lesson in this during the war. palm oil, it seems, is necessary for the manufacture of tinplate, an industry that was built up in the united states by the mckinley tariff. the british possessions in west africa were the chief source of palm oil and the germans had the handling of it. during the war the british government assumed control of the palm oil products of the british and german colonies and prohibited their export to other countries than england. americans protested and beseeched, but in vain. the british held, quite correctly, that they needed all the oil they could get for food and lubrication and nitroglycerin. but the british also needed canned meat from america for their soldiers and when it was at length brought to their attention that the packers could not ship meat unless they had cans and that cans could not be made without tin and that tin could not be made without palm oil the british government consented to let us buy a little of their palm oil. the lesson is that of voltaire's story, "candide," "let us cultivate our own garden"--and plant a few palm trees in it--also rubber trees, but that is another story. the international struggle for oil led to the partition of the pacific as the struggle for rubber led to the partition of africa. theodor weber, as stevenson says, "harried the samoans" to get copra much as king leopold of belgium harried the congoese to get caoutchouc. it was weber who first fully realized that the south sea islands, formerly given over to cannibals, pirates and missionaries, might be made immensely valuable through the cultivation of the coconut palms. when the ripe coconut is split open and exposed to the sun the meat dries up and shrivels and in this form, called "copra," it can be cut out and shipped to the factory where the oil is extracted and refined. weber while german consul in samoa was also manager of what was locally known as "the long-handled concern" (_deutsche handels und plantagen gesellschaft der südsee inseln zu hamburg_), a pioneer commercial and semi-official corporation that played a part in the pacific somewhat like the british hudson bay company in canada or east india company in hindustan. through the agency of this corporation on the start germany acquired a virtual monopoly of the transportation and refining of coconut oil and would have become the dominant power in the pacific if she had not been checked by force of arms. in apia bay in and again in manila bay in an american fleet faced a german fleet ready for action while a british warship lay between. so we rescued the philippines and samoa from german rule and in german power was eliminated from the pacific. during the ten years before the war, the production of copra in the german islands more than doubled and this was only the beginning of the business. now these islands have been divided up among australia, new zealand and japan, and these countries are planning to take care of the copra. but although we get no extension of territory from the war we still have the philippines and some of the samoan islands, and these are capable of great development. from her share of the samoan islands germany got a million dollars' worth of copra and we might get more from ours. the philippines now lead the world in the production of copra, but java is a close second and ceylon not far behind. if we do not look out we will be beaten both by the dutch and the british, for they are undertaking the cultivation of the coconut on a larger scale and in a more systematic way. according to an official bulletin of the philippine government a coconut plantation should bring in "dividends ranging from to per cent. from the tenth to the hundredth year." and this being printed in figured the price of copra at - / cents, whereas it brought - / cents in , so the prospect is still more encouraging. the copra is half fat and can be cheaply shipped to america, where it can be crushed in the southern oilmills when they are not busy on cottonseed or peanuts. but even this cost of transportation can be reduced by extracting the oil in the islands and shipping it in bulk like petroleum in tank steamers. in the year ending june, , the united states imported from the philippines , , pounds of coconut oil worth $ , , and , , pounds of copra worth $ , , . but this was about half our total importations; the rest of it we had to get from foreign countries. panama palms may give us a little relief from this dependence on foreign sources. in we imported , , whole coconuts from panama valued at $ , . [illustration: splitting coconuts on the island of tahiti after drying in the sun the meat is picked and the oil extracted for making coconut butter] [illustration: from "america's munitions" the electric current passing through salt water in these cells decomposes the salt into caustic soda and chlorine gas there were eight rooms like this in the edgewood plant, capable of producing , pounds of chlorine a day] a new form of fat that has rapidly come into our market is the oil of the soya or soy bean. in we imported over , , pounds of soy-bean oil, mostly from manchuria. the oil is used in manufacture of substitutes for butter, lard, cheese, milk and cream, as well as for soap and paint. the soy-bean can be raised in the united states wherever corn can be grown and provides provender for man and beast. the soy meal left after the extraction of the oil makes a good cattle food and the fermented juice affords the shoya sauce made familiar to us through the popularity of the chop-suey restaurants. as meat and dairy products become scarcer and dearer we shall become increasingly dependent upon the vegetable fats. we should therefore devise means of saving what we now throw away, raise as much as we can under our own flag, keep open avenues for our foreign supply and encourage our cooks to make use of the new products invented by our chemists. chapter xii fighting with fumes the germans opened the war using projectiles seventeen inches in diameter. they closed it using projectiles one one-hundred millionth of an inch in diameter. and the latter were more effective than the former. as the dimensions were reduced from molar to molecular the battle became more intense. for when the big bertha had shot its bolt, that was the end of it. whomever it hit was hurt, but after that the steel fragments of the shell lay on the ground harmless and inert. the men in the dugouts could hear the shells whistle overhead without alarm. but the poison gas could penetrate where the rifle ball could not. the malignant molecules seemed to search out their victims. they crept through the crevices of the subterranean shelters. they hunted for the pinholes in the face masks. they lay in wait for days in the trenches for the soldiers' return as a cat watches at the hole of a mouse. the cannon ball could be seen and heard. the poison gas was invisible and inaudible, and sometimes even the chemical sense which nature has given man for his protection, the sense of smell, failed to give warning of the approach of the foe. the smaller the matter that man can deal with the more he can get out of it. so long as man was dependent for power upon wind and water his working capacity was very limited. but as soon as he passed over the border line from physics into chemistry and learned how to use the molecule, his efficiency in work and warfare was multiplied manifold. the molecular bombardment of the piston by steam or the gases of combustion runs his engines and propels his cars. the first man who wanted to kill another from a safe distance threw the stone by his arm's strength. david added to his arm the centrifugal force of a sling when he slew goliath. the romans improved on this by concentrating in a catapult the strength of a score of slaves and casting stone cannon balls to the top of the city wall. but finally man got closer to nature's secret and discovered that by loosing a swarm of gaseous molecules he could throw his projectile seventy-five miles and then by the same force burst it into flying fragments. there is no smaller projectile than the atom unless our belligerent chemists can find a way of using the electron stream of the cathode ray. but this so far has figured only in the pages of our scientific romancers and has not yet appeared on the battlefield. if, however, man could tap the reservoir of sub-atomic energy he need do no more work and would make no more war, for unlimited powers of construction and destruction would be at his command. the forces of the infinitesimal are infinite. the reason why a gas is so active is because it is so egoistic. psychologically interpreted, a gas consists of particles having the utmost aversion to one another. each tries to get as far away from every other as it can. there is no cohesive force; no attractive impulse; nothing to draw them together except the all too feeble power of gravitation. the hotter they get the more they try to disperse and so the gas expands. the gas represents the extreme of individualism as steel represents the extreme of collectivism. the combination of the two works wonders. a hot gas in a steel cylinder is the most powerful agency known to man, and by means of it he accomplishes his greatest achievements in peace or war time. the projectile is thrown from the gun by the expansive force of the gases released from the powder and when it reaches its destination it is blown to pieces by the same force. this is the end of it if it is a shell of the old-fashioned sort, for the gases of combustion mingle harmlessly with the air of which they are normal constituents. but if it is a poison gas shell each molecule as it is released goes off straight into the air with a speed twice that of the cannon ball and carries death with it. a man may be hit by a heavy piece of lead or iron and still survive, but an unweighable amount of lethal gas may be fatal to him. most of the novelties of the war were merely extensions of what was already known. to increase the caliber of a cannon from to centimeters or its range from to miles does indeed make necessary a decided change in tactics, but it is not comparable to the revolution effected by the introduction of new weapons of unprecedented power such as airplanes, submarines, tanks, high explosives or poison gas. if any army had been as well equipped with these in the beginning as all armies were at the end it might easily have won the war. that is to say, if the general staff of any of the powers had had the foresight and confidence to develop and practise these modes of warfare on a large scale in advance it would have been irresistible against an enemy unprepared to meet them. but no military genius appeared on either side with sufficient courage and imagination to work out such schemes in secret before trying them out on a small scale in the open. consequently the enemy had fair warning and ample time to learn how to meet them and methods of defense developed concurrently with methods of attack. for instance, consider the motor fortresses to which ludendorff ascribes his defeat. the british first sent out a few clumsy tanks against the german lines. then they set about making a lot of stronger and livelier ones, but by the time these were ready the germans had field guns to smash them and chain fences with concrete posts to stop them. on the other hand, if the germans had followed up their advantage when they first set the cloud of chlorine floating over the battlefield of ypres they might have won the war in the spring of instead of losing it in the fall of . for the british were unprepared and unprotected against the silent death that swept down upon them on the nd of april, . what happened then is best told by sir arthur conan doyle in his "history of the great war." from the base of the german trenches over a considerable length there appeared jets of whitish vapor, which gathered and swirled until they settled into a definite low cloud-bank, greenish-brown below and yellow above, where it reflected the rays of the sinking sun. this ominous bank of vapor, impelled by a northern breeze, drifted swiftly across the space which separated the two lines. the french troops, staring over the top of their parapet at this curious screen which ensured them a temporary relief from fire, were observed suddenly to throw up their hands, to clutch at their throats, and to fall to the ground in the agonies of asphyxiation. many lay where they had fallen, while their comrades, absolutely helpless against this diabolical agency, rushed madly out of the mephitic mist and made for the rear, over-running the lines of trenches behind them. many of them never halted until they had reached ypres, while others rushed westwards and put the canal between themselves and the enemy. the germans, meanwhile, advanced, and took possession of the successive lines of trenches, tenanted only by the dead garrisons, whose blackened faces, contorted figures, and lips fringed with the blood and foam from their bursting lungs, showed the agonies in which they had died. some thousands of stupefied prisoners, eight batteries of french field-guns, and four british . 's, which had been placed in a wood behind the french position, were the trophies won by this disgraceful victory. under the shattering blow which they had received, a blow particularly demoralizing to african troops, with their fears of magic and the unknown, it was impossible to rally them effectually until the next day. it is to be remembered in explanation of this disorganization that it was the first experience of these poison tactics, and that the troops engaged received the gas in a very much more severe form than our own men on the right of langemarck. for a time there was a gap five miles broad in the front of the position of the allies, and there were many hours during which there was no substantial force between the germans and ypres. they wasted their time, however, in consolidating their ground, and the chance of a great coup passed forever. they had sold their souls as soldiers, but the devil's price was a poor one. had they had a corps of cavalry ready, and pushed them through the gap, it would have been the most dangerous moment of the war. a deserter had come over from the german side a week before and told them that cylinders of poison gas had been laid in the front trenches, but no one believed him or paid any attention to his tale. war was then, in the englishman's opinion, a gentleman's game, the royal sport, and poison was prohibited by the hague rules. but the germans were not playing the game according to the rules, so the british soldiers were strangled in their own trenches and fell easy victims to the advancing foe. within half an hour after the gas was turned on per cent. of the opposing troops were knocked out. the canadians, with wet handkerchiefs over their faces, closed in to stop the gap, but if the germans had been prepared for such success they could have cleared the way to the coast. but after such trials the germans stopped the use of free chlorine and began the preparation of more poisonous gases. in some way that may not be revealed till the secret history of the war is published, the british intelligence department obtained a copy of the lecture notes of the instructions to the german staff giving details of the new system of gas warfare to be started in december. among the compounds named was phosgene, a gas so lethal that one part in ten thousand of air may be fatal. the antidote for it is hexamethylene tetramine. this is not something the soldier--or anybody else--is accustomed to carry around with him, but the british having had a chance to cram up in advance on the stolen lecture notes were ready with gas helmets soaked in the reagent with the long name. the germans rejoiced when gas bombs took the place of bayonets because this was a field in which intelligence counted for more than brute force and in which therefore they expected to be supreme. as usual they were right in their major premise but wrong in their conclusion, owing to the egoism of their implicit minor premise. it does indeed give the advantage to skill and science, but the germans were beaten at their own game, for by the end of the war the united states was able to turn out toxic gases at a rate of tons a day, while the output of germany or england was only about tons. a gas plant was started at edgewood, maryland, in november, . by march it was filling shell and before the war put a stop to its activities in the fall it was producing , , pounds of chlorine, , , pounds of chlorpicrin, , , pounds of phosgene and , pounds of mustard gas a month. chlorine, the first gas used, is unpleasantly familiar to every one who has entered a chemical laboratory or who has smelled the breath of bleaching powder. it is a greenish-yellow gas made from common salt. the germans employed it at ypres by laying cylinders of the liquefied gas in the trenches, about a yard apart, and running a lead discharge pipe over the parapet. when the stop cocks are turned the gas streams out and since it is two and a half times as heavy as air it rolls over the ground like a noisome mist. it works best when the ground slopes gently down toward the enemy and when the wind blows in that direction at a rate between four and twelve miles an hour. but the wind, being strictly neutral, may change its direction without warning and then the gases turn back in their flight and attack their own side, something that rifle bullets have never been known to do. [illustration: © international film service germans starting a gas attack on the russian lines behind the cylinders from which the gas streams are seen three lines of german troops waiting to attack. the photograph was taken from above by a russian airman] [illustration: © press illustrating service filling the cannisters of gas masks with charcoal made from fruit pits in long island city] because free chlorine would not stay put and was dependent on the favor of the wind for its effect, it was later employed, not as an elemental gas, but in some volatile liquid that could be fired in a shell and so released at any particular point far back of the front trenches. the most commonly used of these compounds was phosgene, which, as the reader can see by inspection of its formula, cocl_{ }, consists of chlorine (cl) combined with carbon monoxide (co), the cause of deaths from illuminating gas. these two poisonous gases, chlorine and carbon monoxide, when mixed together, will not readily unite, but if a ray of sunlight falls upon the mixture they combine at once. for this reason john davy, who discovered the compound over a hundred years ago, named it phosgene, that is, "produced by light." the same roots recur in hydrogen, so named because it is "produced from water," and phosphorus, because it is a "light-bearer." in its modern manufacture the catalyzer or instigator of the combination is not sunlight but porous carbon. this is packed in iron boxes eight feet long, through which the mixture of the two gases was forced. carbon monoxide may be made by burning coke with a supply of air insufficient for complete combustion, but in order to get the pure gas necessary for the phosgene common air was not used, but instead pure oxygen extracted from it by a liquid air plant. phosgene is a gas that may be condensed easily to a liquid by cooling it down to degrees fahrenheit. a mixture of three-quarters chlorine with one-quarter phosgene has been found most effective. by itself phosgene has an inoffensive odor somewhat like green corn and so may fail to arouse apprehension until a toxic concentration is reached. but even small doses have such an effect upon the heart action for days afterward that a slight exertion may prove fatal. the compound manufactured in largest amount in america was chlorpicrin. this, like the others, is not so unfamiliar as it seems. as may be seen from its formula, ccl_{ }no_{ }, it is formed by joining the nitric acid radical (no_{ }), found in all explosives, with the main part of chloroform (hccl_{ }). this is not quite so poisonous as phosgene, but it has the advantage that it causes nausea and vomiting. the soldier so affected is forced to take off his gas mask and then may fall victim to more toxic gases sent over simultaneously. chlorpicrin is a liquid and is commonly loaded in a shell or bomb with per cent. of tin chloride, which produces dense white fumes that go through gas masks. it is made from picric acid (trinitrophenol), one of the best known of the high explosives, by treatment with chlorine. the chlorine is obtained, as it is in the household, from common bleaching powder, or "chloride of lime." this is mixed with water to form a cream in a steel still feet high and feet in diameter. a solution of calcium picrate, that is, the lime salt of picric acid, is pumped in and as the reaction begins the mixture heats up and the chlorpicrin distils over with the steam. when the distillate is condensed the chlorpicrin, being the heavier liquid, settles out under the layer of water and may be drawn off to fill the shell. much of what a student learns in the chemical laboratory he is apt to forget in later life if he does not follow it up. but there are two gases that he always remembers, chlorine and hydrogen sulfide. he is lucky if he has escaped being choked by the former or sickened by the latter. he can imagine what the effect would be if two offensive fumes could be combined without losing their offensive features. now a combination something like this is the so-called mustard gas, which is not a gas and is not made from mustard. but it is easily gasified, and oil of mustard is about as near as nature dare come to making such sinful stuff. it was first made by guthrie, an englishman, in , and rediscovered by a german chemist, victor meyer, in , but he found it so dangerous to work with that he abandoned the investigation. nobody else cared to take it up, for nobody could see any use for it. so it remained in innocuous desuetude, a mere name in "beilstein's dictionary," together with the thousands of other organic compounds that have been invented and never utilized. but on july , , the british holding the line at ypres were besprinkled with this villainous substance. its success was so great that the germans henceforth made it their main reliance and soon the allies followed suit. in one offensive of ten days the germans are said to have used a million shells containing tons of mustard gas. the making of so dangerous a compound on a large scale was one of the most difficult tasks set before the chemists of this and other countries, yet it was successfully solved. the raw materials are chlorine, alcohol and sulfur. the alcohol is passed with steam through a vertical iron tube filled with kaolin and heated. this converts the alcohol into a gas known as ethylene (c_{ }h_{ }). passing a stream of chlorine gas into a tank of melted sulfur produces sulfur monochloride and this treated with the ethylene makes the "mustard." the final reaction was carried on at the edgewood arsenal in seven airtight tanks or "reactors," each having a capacity of , pounds. the ethylene gas being led into the tank and distributed through the liquid sulfur chloride by porous blocks or fine nozzles, the two chemicals combined to form what is officially named "di-chlor-di-ethyl-sulfide" (clc_{ }h_{ }sc_{ }h_{ }cl). this, however, is too big a mouthful, so even the chemists were glad to fall in with the commonalty and call it "mustard gas." the effectiveness of "mustard" depends upon its persistence. it is a stable liquid, evaporating slowly and not easily decomposed. it lingers about trenches and dugouts and impregnates soil and cloth for days. gas masks do not afford complete protection, for even if they are impenetrable they must be taken off some time and the gas lies in wait for that time. in some cases the masks were worn continuously for twelve hours after the attack, but when they were removed the soldiers were overpowered by the poison. a place may seem to be free from it but when the sun heats up the ground the liquid volatilizes and the vapor soaks through the clothing. as the men become warmed up by work their skin is blistered, especially under the armpits. the mustard acts like steam, producing burns that range from a mere reddening to serious ulcerations, always painful and incapacitating, but if treated promptly in the hospital rarely causing death or permanent scars. the gas attacks the eyes, throat, nose and lungs and may lead to bronchitis or pneumonia. it was found necessary at the front to put all the clothing of the soldiers into the sterilizing ovens every night to remove all traces of mustard. general johnson and his staff in the th division were poisoned in their dugouts because they tried to alleviate the discomfort of their camp cots by bedding taken from a neighboring village that had been shelled the day before. of the cases requiring medical attention at the edgewood arsenal were due to mustard. during the month of august - / per cent. of the mustard plant force were sent to the hospital each day on the average. but the record of the edgewood arsenal is a striking demonstration of what can be done in the prevention of industrial accidents by the exercise of scientific prudence. in spite of the fact that from three to eleven thousand men were employed at the plant for the year and turned out some twenty thousand tons of the most poisonous gases known to man, there were only three fatalities and not a single case of blindness. besides the four toxic gases previously described, chlorine, phosgene, chlorpicrin and mustard, various other compounds have been and many others might be made. a list of those employed in the present war enumerates thirty, among them compounds of bromine, arsenic and cyanogen that may prove more formidable than any so far used. american chemists kept very mum during the war but occasionally one could not refrain from saying: "if the kaiser knew what i know he would surrender unconditionally by telegraph." no doubt the science of chemical warfare is in its infancy and every foresighted power has concealed weapons of its own in reserve. one deadly compound, whose identity has not yet been disclosed, is known as "lewisite," from professor lewis of northwestern, who was manufacturing it at the rate of ten tons a day in the "mouse trap" stockade near cleveland. throughout the history of warfare the art of defense has kept pace with the art of offense and the courage of man has never failed, no matter to what new danger he was exposed. as each new gas employed by the enemy was detected it became the business of our chemists to discover some method of absorbing or neutralizing it. porous charcoal, best made from such dense wood as coconut shells, was packed in the respirator box together with layers of such chemicals as will catch the gases to be expected. charcoal absorbs large quantities of any gas. soda lime and potassium permanganate and nickel salts were among the neutralizers used. the mask is fitted tightly about the face or over the head with rubber. the nostrils are kept closed with a clip so breathing must be done through the mouth and no air can be inhaled except that passing through the absorbent cylinder. men within five miles of the front were required to wear the masks slung on their chests so they could be put on within six seconds. a well-made mask with a fresh box afforded almost complete immunity for a time and the soldiers learned within a few days to handle their masks adroitly. so the problem of defense against this new offensive was solved satisfactorily, while no such adequate protection against the older weapons of bayonet and shrapnel has yet been devised. then the problem of the offense was to catch the opponent with his mask off or to make him take it off. here the lachrymators and the sternutators, the tear gases and the sneeze gases, came into play. phenylcarbylamine chloride would make the bravest soldier weep on the battlefield with the abandonment of a greek hero. di-phenyl-chloro-arsine would set him sneezing. the germans alternated these with diabolical ingenuity so as to catch us unawares. some shells gave off voluminous smoke or a vile stench without doing much harm, but by the time our men got used to these and grew careless about their masks a few shells of some extremely poisonous gas were mixed with them. the ideal gas for belligerent purposes would be odorless, colorless and invisible, toxic even when diluted by a million parts of air, not set on fire or exploded by the detonator of the shell, not decomposed by water, not readily absorbed, stable enough to stand storage for six months and capable of being manufactured by the thousands of tons. no one gas will serve all aims. for instance, phosgene being very volatile and quickly dissipated is thrown into trenches that are soon to be taken while mustard gas being very tenacious could not be employed in such a case for the trenches could not be occupied if they were captured. the extensive use of poison gas in warfare by all the belligerents is a vindication of the american protest at the hague conference against its prohibition. at the first conference of captain mahan argued very sensibly that gas shells were no worse than other projectiles and might indeed prove more merciful and that it was illogical to prohibit a weapon merely because of its novelty. the british delegates voted with the americans in opposition to the clause "the contracting parties agree to abstain from the use of projectiles the sole object of which is the diffusion of asphyxiating or deleterious gases." but both great britain and germany later agreed to the provision. the use of poison gas by germany without warning was therefore an act of treachery and a violation of her pledge, but the united states has consistently refused to bind herself to any such restriction. the facts reported by general amos a. fries, in command of the overseas branch of the american chemical warfare service, give ample support to the american contention at the hague: out of gas casualties there are from to fatalities, while out of high explosive casualties the number of fatalities run from to . while exact figures are as yet not available concerning the men permanently crippled or blinded by high explosives one has only to witness the debarkation of a shipload of troops to be convinced that the number is very large. on the other hand there is, so far as known at present, not a single case of permanent disability or blindness among our troops due to gas and this in face of the fact that the germans used relatively large quantities of this material. in the light of these facts the prejudice against the use of gas must gradually give way; for the statement made to the effect that its use is contrary to the principles of humanity will apply with far greater force to the use of high explosives. as a matter of fact, for certain purposes toxic gas is an ideal agent. for example, it is difficult to imagine any agent more effective or more humane that may be used to render an opposing battery ineffective or to protect retreating troops. captain mahan's argument at the hague against the proposed prohibition of poison gas is so cogent and well expressed that it has been quoted in treatises on international law ever since. these reasons were, briefly: . that no shell emitting such gases is as yet in practical use or has undergone adequate experiment; consequently, a vote taken now would be taken in ignorance of the facts as to whether the results would be of a decisive character or whether injury in excess of that necessary to attain the end of warfare--the immediate disabling of the enemy--would be inflicted. . that the reproach of cruelty and perfidy, addressed against these supposed shells, was equally uttered formerly against firearms and torpedoes, both of which are now employed without scruple. until we know the effects of such asphyxiating shells, there was no saying whether they would be more or less merciful than missiles now permitted. that it was illogical, and not demonstrably humane, to be tender about asphyxiating men with gas, when all are prepared to admit that it was allowable to blow the bottom out of an ironclad at midnight, throwing four or five hundred into the sea, to be choked by water, with scarcely the remotest chance of escape. as captain mahan says, the same objection has been raised at the introduction of each new weapon of war, even though it proved to be no more cruel than the old. the modern rifle ball, swift and small and sterilized by heat, does not make so bad a wound as the ancient sword and spear, but we all remember how gunpowder was regarded by the dandies of hotspur's time: and it was great pity, so it was, this villainous saltpeter should be digg'd out of the bowels of the harmless earth which many a good tall fellow had destroy'd so cowardly; and but for these vile guns he would himself have been a soldier. the real reason for the instinctive aversion manifested against any new arm or mode of attack is that it reveals to us the intrinsic horror of war. we naturally revolt against premeditated homicide, but we have become so accustomed to the sword and latterly to the rifle that they do not shock us as they ought when we think of what they are made for. the constitution of the united states prohibits the infliction of "cruel and unusual punishments." the two adjectives were apparently used almost synonymously, as though any "unusual" punishment were necessarily "cruel," and so indeed it strikes us. but our ingenious lawyers were able to persuade the courts that electrocution, though unknown to the fathers and undeniably "unusual," was not unconstitutional. dumdum bullets are rightfully ruled out because they inflict frightful and often incurable wounds, and the aim of humane warfare is to disable the enemy, not permanently to injure him. [illustration: from "america's munitions" the chlorpicrin plant at the edgewood arsenal from these stills, filled with a mixture of bleaching powder, lime, and picric acid, the poisonous gas, chlorpicrin, distills off. this plant produced tons in one day] [illustration: courtesy of the metal and thermit corporation, n.y. repairing the broken stern post of the u.s.s. northern pacific, the biggest marine weld in the world on the right the fractured stern post is shown. on the left it is being mended by means of thermit. two crucibles each containing pounds of the thermit mixture are seen on the sides of the vessel. from the bottom of these the melted steel flowed down to fill the fracture] in spite of the opposition of the american and british delegates the first hague conference adopted the clause, "the contracting powers agree to abstain from the use of projectiles the [sole] object of which is the diffusion of asphyxiating or deleterious gases." the word "sole" (_unique_) which appears in the original french text of the hague convention is left out of the official english translation. this is a strange omission considering that the french and british defended their use of explosives which diffuse asphyxiating and deleterious gases on the ground that this was not the "sole" purpose of the bombs but merely an accidental effect of the nitric powder used. the hague congress of placed in its rules for war: "it is expressly forbidden to employ poisons or poisonous weapons." but such attempts to rule out new and more effective means of warfare are likely to prove futile in any serious conflict and the restriction gives the advantage to the most unscrupulous side. we americans, if ever we give our assent to such an agreement, would of course keep it, but our enemy--whoever he may be in the future--will be, as he always has been, utterly without principle and will not hesitate to employ any weapon against us. besides, as the germans held, chemical warfare favors the army that is most intelligent, resourceful and disciplined and the nation that stands highest in science and industry. this advantage, let us hope, will be on our side. chapter xiii products of the electric furnace the control of man over the materials of nature has been vastly enhanced by the recent extension of the range of temperature at his command. when fahrenheit stuck the bulb of his thermometer into a mixture of snow and salt he thought he had reached the nadir of temperature, so he scratched a mark on the tube where the mercury stood and called it zero. but we know that absolute zero, the total absence of heat, is of fahrenheit's degrees lower than his zero point. the modern scientist can get close to that lowest limit by making use of the cooling by the expansion principle. he first liquefies air under pressure and then releasing the pressure allows it to boil off. a tube of hydrogen immersed in the liquid air as it evaporates is cooled down until it can be liquefied. then the boiling hydrogen is used to liquefy helium, and as this boils off it lowers the temperature to within three or four degrees of absolute zero. the early metallurgist had no hotter a fire than he could make by blowing charcoal with a bellows. this was barely enough for the smelting of iron. but by the bringing of two carbon rods together, as in the electric arc light, we can get enough heat to volatilize the carbon at the tips, and this means over degrees fahrenheit. by putting a pressure of twenty atmospheres onto the arc light we can raise it to perhaps , degrees, which is degrees hotter than the sun. this gives the modern man a working range of about , degrees, so it is no wonder that he can perform miracles. when a builder wants to make an old house over into a new one he takes it apart brick by brick and stone by stone, then he puts them together in such new fashion as he likes. the electric furnace enables the chemist to take his materials apart in the same way. as the temperature rises the chemical and physical forces that hold a body together gradually weaken. first the solid loosens up and becomes a liquid, then this breaks bonds and becomes a gas. compounds break up into their elements. the elemental molecules break up into their component atoms and finally these begin to throw off corpuscles of negative electricity eighteen hundred times smaller than the smallest atom. these electrons appear to be the building stones of the universe. no indication of any smaller units has been discovered, although we need not assume that in the electron science has delivered, what has been called, its "ultim-atom." the greeks called the elemental particles of matter "atoms" because they esteemed them "indivisible," but now in the light of the x-ray we can witness the disintegration of the atom into electrons. all the chemical and physical properties of matter, except perhaps weight, seem to depend upon the number and movement of the negative and positive electrons and by their rearrangement one element may be transformed into another. so the electric furnace, where the highest attainable temperature is combined with the divisive and directive force of the current, is a magical machine for accomplishment of the metamorphoses desired by the creative chemist. a hundred years ago davy, by dipping the poles of his battery into melted soda lye, saw forming on one of them a shining globule like quicksilver. it was the metal sodium, never before seen by man. nowadays this process of electrolysis (electric loosening) is carried out daily by the ton at niagara. the reverse process, electro-synthesis (electric combining), is equally simple and even more important. by passing a strong electric current through a mixture of lime and coke the metal calcium disengages itself from the oxygen of the lime and attaches itself to the carbon. or, to put it briefly, cao + c --> cac_{ } + co lime coke calcium carbon carbide monoxide this reaction is of peculiar importance because it bridges the gulf between the organic and inorganic worlds. it was formerly supposed that the substances found in plants and animals, mostly complex compounds of carbon, hydrogen and oxygen, could only be produced by "vital forces." if this were true it meant that chemistry was limited to the mineral kingdom and to the extraction of such carbon compounds as happened to exist ready formed in the vegetable and animal kingdoms. but fortunately this barrier to human achievement proved purely illusory. the organic field, once man had broken into it, proved easier to work in than the inorganic. but it must be confessed that man is dreadfully clumsy about it yet. he takes a thousand horsepower engine and an electric furnace at several thousand degrees to get carbon into combination with hydrogen while the little green leaf in the sunshine does it quietly without getting hot about it. evidently man is working as wastefully as when he used a thousand slaves to drag a stone to the pyramid or burned down a house to roast a pig. not until his laboratory is as cool and calm and comfortable as the forest and the field can the chemist call himself completely successful. but in spite of his clumsiness the chemist is actually making things that he wants and cannot get elsewhere. the calcium carbide that he manufactures from inorganic material serves as the raw material for producing all sorts of organic compounds. the electric furnace was first employed on a large scale by the cowles electric smelting and aluminum company at cleveland in . on the dump were found certain lumps of porous gray stone which, dropped into water, gave off a gas that exploded at touch of a match with a splendid bang and flare. this gas was acetylene, and we can represent the reaction thus: cac_{ } + h_{ }o --> c_{ }h_{ } + cao_{ }h_{ } calcium carbide _added_ to water _ gives_ acetylene _and_ slaked lime we are all familiar with this reaction now, for it is acetylene that gives the dazzling light of the automobiles and of the automatic signal buoys of the seacoast. when burned with pure oxygen instead of air it gives the hottest of chemical flames, hotter even than the oxy-hydrogen blowpipe. for although a given weight of hydrogen will give off more heat when it burns than carbon will, yet acetylene will give off more heat than either of its elements or both of them when they are separate. this is because acetylene has stored up heat in its formation instead of giving it off as in most reactions, or to put it in chemical language, acetylene is an endothermic compound. it has required energy to bring the h and the c together, therefore it does not require energy to separate them, but, on the contrary, energy is released when they are separated. that is to say, acetylene is explosive not only when mixed with air as coal gas is but by itself. under a suitable impulse acetylene will break up into its original carbon and hydrogen with great violence. it explodes with twice as much force without air as ordinary coal gas with air. it forms an explosive compound with copper, so it has to be kept out of contact with brass tubes and stopcocks. but compressed in steel cylinders and dissolved in acetone, it is safe and commonly used for welding and melting. it is a marvelous though not an unusual sight on city streets to see a man with blue glasses on cutting down through a steel rail with an oxy-acetylene blowpipe as easily as a carpenter saws off a board. with such a flame he can carve out a pattern in a steel plate in a way that reminds me of the days when i used to make brackets with a scroll saw out of cigar boxes. the torch will travel through a steel plate an inch or two thick at a rate of six to ten inches a minute. [illustration: courtesy of the carborundum company, niagara falls making aloxite in the electric furnaces by fusing coke and bauxite in the background are the circular furnaces. in the foreground are the fused masses of the product] [illustration: courtesy of the carborundum co., niagara falls a block of carborundum crystals] [illustration: courtesy of the carborundum co., niagara falls making carborundum in the electric furnace at the end may be seen the attachments for the wires carrying the electric current and on the side the flames from the burning carbon.] the temperatures attainable with various fuels in the compound blowpipe are said to be: acetylene with oxygen ° f. hydrogen with oxygen ° f. coal gas with oxygen ° f. gasoline with oxygen ° f. if we compare the formula of acetylene, c_{ }h_{ } with that of ethylene, c_{ }h_{ }, or with ethane, c_{ }h_{ }, we see that acetylene could take on two or four more atoms. it is evidently what the chemists call an "unsaturated" compound, one that has not reached its limit of hydrogenation. it is therefore a very active and energetic compound, ready to pick up on the slightest instigation hydrogen or oxygen or chlorine or any other elements that happen to be handy. this is why it is so useful as a starting point for synthetic chemistry. to build up from this simple substance, acetylene, the higher compounds of carbon and oxygen it is necessary to call in the aid of that mysterious agency, the catalyst. acetylene is not always acted upon by water, as we know, for we see it bubbling up through the water when prepared from the carbide. but if to the water be added a little acid and a mercury salt, the acetylene gas will unite with the water forming a new compound, acetaldehyde. we can show the change most simply in this fashion: c_{ }h_{ } + h_{ }o --> c_{ }h_{ }o acetylene _added to_ water _forms_ acetaldehyde acetaldehyde is not of much importance in itself, but is useful as a transition. if its vapor mixed with hydrogen is passed over finely divided nickel, serving as a catalyst, the two unite and we have alcohol, according to this reaction: c_{ }h_{ }o + h_{ } --> c_{ }h_{ }o acetaldehyde _added to_ hydrogen _forms_ alcohol alcohol we are all familiar with--some of us too familiar, but the prohibition laws will correct that. the point to be noted is that the alcohol we have made from such unpromising materials as limestone and coal is exactly the same alcohol as is obtained by the fermentation of fruits and grains by the yeast plant as in wine and beer. it is not a substitute or imitation. it is not the wood spirits (methyl alcohol, ch_{ }o), produced by the destructive distillation of wood, equally serviceable as a solvent or fuel, but undrinkable and poisonous. now, as we all know, cider and wine when exposed to the air gradually turn into vinegar, that is, by the growth of bacteria the alcohol is oxidized to acetic acid. we can, if we like, dispense with the bacteria and speed up the process by employing a catalyst. acetaldehyde, which is halfway between alcohol and acid, may also be easily oxidized to acetic acid. the relationship is readily seen by this: c{ }h_{ }o --> cc_{ }h_{ }o --> c_{ }h_{ }o_{ } alcohol acetaldehyde acetic acid acetic acid, familiar to us in a diluted and flavored form as vinegar, is when concentrated of great value in industry, especially as a solvent. i have already referred to its use in combination with cellulose as a "dope" for varnishing airplane canvas or making non-inflammable film for motion pictures. its combination with lime, calcium acetate, when heated gives acetone, which, as may be seen from its formula (c_{ }h_{ }o) is closely related to the other compounds we have been considering, but it is neither an alcohol nor an acid. it is extensively employed as a solvent. acetone is not only useful for dissolving solids but it will under pressure dissolve many times its volume of gaseous acetylene. this is a convenient way of transporting and handling acetylene for lighting or welding. if instead of simply mixing the acetone and acetylene in a solution we combine them chemically we can get isoprene, which is the mother substance of ordinary india rubber. from acetone also is made the "war rubber" of the germans (methyl rubber), which i have mentioned in a previous chapter. the germans had been getting about half their supply of acetone from american acetate of lime and this was of course shut off. that which was produced in germany by the distillation of beech wood was not even enough for the high explosives needed at the front. so the germans resorted to rotting potatoes--or rather let us say, since it sounds better--to the cultivation of _bacillus macerans_. this particular bacillus converts the starch of the potato into two-thirds alcohol and one-third acetone. but soon potatoes got too scarce to be used up in this fashion, so the germans turned to calcium carbide as a source of acetone and before the war ended they had a factory capable of manufacturing tons of methyl rubber a year. this shows the advantage of having several strings to a bow. the reason why acetylene is such an active and acquisitive thing the chemist explains, or rather expresses, by picturing its structure in this shape: h-c[triple bond]c-h now the carbon atoms are holding each other's hands because they have nothing else to do. there are no other elements around to hitch on to. but the two carbons of acetylene readily loosen up and keeping the connection between them by a single bond reach out in this fashion with their two disengaged arms and grab whatever alien atoms happen to be in the vicinity: | | h-c-c-h | | carbon atoms belong to the quadrumani like the monkeys, so they are peculiarly fitted to forming chains and rings. this accounts for the variety and complexity of the carbon compounds. so when acetylene gas mixed with other gases is passed over a catalyst, such as a heated mass of iron ore or clay (hydrates or silicates of iron or aluminum), it forms all sorts of curious combinations. in the presence of steam we may get such simple compounds as acetic acid, acetone and the like. but when three acetylene molecules join to form a ring of six carbon atoms we get compounds of the benzene series such as were described in the chapter on the coal-tar colors. if ammonia is mixed with acetylene we may get rings with the nitrogen atom in place of one of the carbons, like the pyridins and quinolins, pungent bases such as are found in opium and tobacco. or if hydrogen sulfide is mixed with the acetylene we may get thiophenes, which have sulfur in the ring. so, starting with the simple combination of two atoms of carbon with two of hydrogen, we can get directly by this single process some of the most complicated compounds of the organic world, as well as many others not found in nature. in the development of the electric furnace america played a pioneer part. provost smith of the university of pennsylvania, who is the best authority on the history of chemistry in america, claims for robert hare, a philadelphia chemist born in , the honor of constructing the first electrical furnace. with this crude apparatus and with no greater electromotive force than could be attained from a voltaic pile, he converted charcoal into graphite, volatilized phosphorus from its compounds, isolated metallic calcium and synthesized calcium carbide. it is to hare also that we owe the invention in of the oxy-hydrogen blowpipe, which nowadays is used with acetylene as well as hydrogen. with this instrument he was able to fuse strontia and volatilize platinum. but the electrical furnace could not be used on a commercial scale until the dynamo replaced the battery as a source of electricity. the industrial development of the electrical furnace centered about the search for a cheap method of preparing aluminum. this is the metallic base of clay and therefore is common enough. but clay, as we know from its use in making porcelain, is very infusible and difficult to decompose. sixty years ago aluminum was priced at $ a pound, but one would have had difficulty in buying such a large quantity as a pound at any price. at international expositions a small bar of it might be seen in a case labeled "silver from clay." mechanics were anxious to get the new metal, for it was light and untarnishable, but the metallurgists could not furnish it to them at a low enough price. in order to extract it from clay a more active metal, sodium, was essential. but sodium also was rare and expensive. in those days a professor of chemistry used to keep a little stick of it in a bottle under kerosene and once a year he whittled off a piece the size of a pea and threw it into water to show the class how it sizzled and gave off hydrogen. the way to get cheaper aluminum was, it seemed, to get cheaper sodium and hamilton young castner set himself at this problem. he was a brooklyn boy, a student of chandler's at columbia. you can see the bronze tablet in his honor at the entrance of havemeyer hall. in he produced metallic sodium by mixing caustic soda with iron and charcoal in an iron pot and heating in a gas furnace. before this experiment sodium sold at $ a pound; after it sodium sold at twenty cents a pound. but although castner had succeeded in his experiment he was defeated in his object. for while he was perfecting the sodium process for making aluminum the electrolytic process for getting aluminum directly was discovered in oberlin. so the $ , plant of the "aluminium company ltd." that castner had got erected at birmingham, england, did not make aluminum at all, but produced sodium for other purposes instead. castner then turned his attention to the electrolytic method of producing sodium by the use of the power of niagara falls, electric power. here in he succeeded in separating common salt into its component elements, chlorine and sodium, by passing the electric current through brine and collecting the sodium in the mercury floor of the cell. the sodium by the action of water goes into caustic soda. nowadays sodium and chlorine and their components are made in enormous quantities by the decomposition of salt. the united states government in procured nearly , , pounds of chlorine for gas warfare. the discovery of the electrical process of making aluminum that displaced the sodium method was due to charles m. hall. he was the son of a congregational minister and as a boy took a fancy to chemistry through happening upon an old text-book of that science in his father's library. he never knew who the author was, for the cover and title page had been torn off. the obstacle in the way of the electrolytic production of aluminum was, as i have said, because its compounds were so hard to melt that the current could not pass through. in , when hall was twenty-two, he solved the problem in the laboratory of oberlin college with no other apparatus than a small crucible, a gasoline burner to heat it with and a galvanic battery to supply the electricity. he found that a greenland mineral, known as cryolite (a double fluoride of sodium and aluminum), was readily fused and would dissolve alumina (aluminum oxide). when an electric current was passed through the melted mass the metal aluminum would collect at one of the poles. in working out the process and defending his claims hall used up all his own money, his brother's and his uncle's, but he won out in the end and judge taft held that his patent had priority over the french claim of hérault. on his death, a few years ago, hall left his large fortune to his alma mater, oberlin. two other young men from ohio, alfred and eugene cowles, with whom hall was for a time associated, wore the first to develop the wide possibilities of the electric furnace on a commercial scale. in they started the cowles electric smelting and aluminum company at lockport, new york, using niagara power. the various aluminum bronzes made by absorbing the electrolyzed aluminum in copper attracted immediate attention by their beauty and usefulness in electrical work and later the company turned out other products besides aluminum, such as calcium carbide, phosphorus, and carborundum. they got carborundum as early as but miscalled it "crystallized silicon," so its introduction was left to e.a. acheson, who was a graduate of edison's laboratory. in he packed clay and charcoal into an iron bowl, connected it to a dynamo and stuck into the mixture an electric light carbon connected to the other pole of the dynamo. when he pulled out the rod he found its end encrusted with glittering crystals of an unknown substance. they were blue and black and iridescent, exceedingly hard and very beautiful. he sold them at first by the carat at a rate that would amount to $ a pound. they were as well worth buying as diamond dust, but those who purchased them must have regretted it, for much finer crystals were soon on sale at ten cents a pound. the mysterious substance turned out to be a compound of carbon and silicon, the simplest possible compound, one atom of each, csi. acheson set up a factory at niagara, where he made it in ten-ton batches. the furnace consisted simply of a brick box fifteen feet long and seven feet wide and deep, with big carbon electrodes at the ends. between them was packed a mixture of coke to supply the carbon, sand to supply the silicon, sawdust to make the mass porous and salt to make it fusible. [illustration: the first american electric furnace, constructed by robert hare of philadelphia. from "chemistry in america," by edgar fahs smith] the substance thus produced at niagara falls is known as "carborundum" south of the american-canadian boundary and as "crystolon" north of this line, as "carbolon" by another firm, and as "silicon carbide" by chemists the world over. since it is next to the diamond in hardness it takes off metal faster than emery (aluminum oxide), using less power and wasting less heat in futile fireworks. it is used for grindstones of all sizes, including those the dentist uses on your teeth. it has revolutionized shop-practice, for articles can be ground into shape better and quicker than they can be cut. what is more, the artificial abrasives do not injure the lungs of the operatives like sandstone. the output of artificial abrasives in the united states and canada for was: tons value silicon carbide , $ , , aluminum oxide , , , a new use for carborundum was found during the war when uncle sam assumed the rôle of jove as "cloud-compeller." acting on carborundum with chlorine--also, you remember, a product of electrical dissolution--the chlorine displaces the carbon, forming silicon tetra-chloride (sicl_{ }), a colorless liquid resembling chloroform. when this comes in contact with moist air it gives off thick, white fumes, for water decomposes it, giving a white powder (silicon hydroxide) and hydrochloric acid. if ammonia is present the acid will unite with it, giving further white fumes of the salt, ammonium chloride. so a mixture of two parts of silicon chloride with one part of dry ammonia was used in the war to produce smoke-screens for the concealment of the movements of troops, batteries and vessels or put in shells so the outlook could see where they burst and so get the range. titanium tetra-chloride, a similar substance, proved per cent. better than silicon, but phosphorus--which also we get from the electric furnace--was the most effective mistifier of all. before the introduction of the artificial abrasives fine grinding was mostly done by emery, which is an impure form of aluminum oxide found in nature. a purer form is made from the mineral bauxite by driving off its combined water. bauxite is the ore from which is made the pure aluminum oxide used in the electric furnace for the production of metallic aluminum. formerly we imported a large part of our bauxite from france, but when the war shut off this source we developed our domestic fields in arkansas, alabama and georgia, and these are now producing half a million tons a year. bauxite simply fused in the electric furnace makes a better abrasive than the natural emery or corundum, and it is sold for this purpose under the name of "aloxite," "alundum," "exolon," "lionite" or "coralox." when the fused bauxite is worked up with a bonding material into crucibles or muffles and baked in a kiln it forms the alundum refractory ware. since alundum is porous and not attacked by acids it is used for filtering hot and corrosive liquids that would eat up filter-paper. carborundum or crystolon is also made up into refractory ware for high temperature work. when the fused mass of the carborundum furnace is broken up there is found surrounding the carborundum core a similar substance though not quite so hard and infusible, known as "carborundum sand" or "siloxicon." this is mixed with fireclay and used for furnace linings. many new forms of refractories have come into use to meet the demands of the new high temperature work. the essentials are that it should not melt or crumble at high heat and should not expand and contract greatly under changes of temperature (low coefficient of thermal expansion). whether it is desirable that it should heat through readily or slowly (coefficient of thermal conductivity) depends on whether it is wanted as a crucible or as a furnace lining. lime (calcium oxide) fuses only at the highest heat of the electric furnace, but it breaks down into dust. magnesia (magnesium oxide) is better and is most extensively employed. for every ton of steel produced five pounds of magnesite is needed. formerly we imported per cent. of our supply from austria, but now we get it from california and washington. in the american production of magnesite was only tons. in it was , . zirconia (zirconium oxide) is still more refractory and in spite of its greater cost zirkite is coming into use as a lining for electric furnaces. silicon is next to oxygen the commonest element in the world. it forms a quarter of the earth's crust, yet it is unfamiliar to most of us. that is because it is always found combined with oxygen in the form of silica as quartz crystal or sand. this used to be considered too refractory to be blown but is found to be easily manipulable at the high temperatures now at the command of the glass-blower. so the chemist rejoices in flasks that he can heat red hot in the bunsen burner and then plunge into ice water without breaking, and the cook can bake and serve in a dish of "pyrex," which is per cent. silica. at the beginning of the twentieth century minute specimens of silicon were sold as laboratory curiosities at the price of $ an ounce. two years later it was turned out by the barrelful at niagara as an accidental by-product and could not find a market at ten cents a pound. silicon from the electric furnace appears in the form of hard, glittering metallic crystals. an alloy of iron and silicon, ferro-silicon, made by heating a mixture of iron ore, sand and coke in the electrical furnace, is used as a deoxidizing agent in the manufacture of steel. since silicon has been robbed with difficulty of its oxygen it takes it on again with great avidity. this has been made use of in the making of hydrogen. a mixture of silicon (or of the ferro-silicon alloy containing per cent. of silicon) with soda and slaked lime is inert, compact and can be transported to any point where hydrogen is needed, say at a battle front. then the "hydrogenite," as the mixture is named, is ignited by a hot iron ball and goes off like thermit with the production of great heat and the evolution of a vast volume of hydrogen gas. or the ferro-silicon may be simply burned in an atmosphere of steam in a closed tank after ignition with a pinch of gunpowder. the iron and the silicon revert to their oxides while the hydrogen of the water is set free. the french "silikol" method consists in treating silicon with a per cent. solution of soda. another source of hydrogen originating with the electric furnace is "hydrolith," which consists of calcium hydride. metallic calcium is prepared from lime in the electric furnace. then pieces of the calcium are spread out in an oven heated by electricity and a current of dry hydrogen passed through. the gas is absorbed by the metal, forming the hydride (cah_{ }). this is packed up in cans and when hydrogen is desired it is simply dropped into water, when it gives off the gas just as calcium carbide gives off acetylene. this last reaction was also used in germany for filling zeppelins. for calcium carbide is convenient and portable and acetylene, when it is once started, as by an electric shock, decomposes spontaneously by its own internal heat into hydrogen and carbon. the latter is left as a fine, pure lampblack, suitable for printer's ink. napoleon, who was always on the lookout for new inventions that could be utilized for military purposes, seized immediately upon the balloon as an observation station. within a few years after the first ascent had been made in paris napoleon took balloons and apparatus for generating hydrogen with him on his "archeological expedition" to egypt in which he hoped to conquer asia. but the british fleet in the mediterranean put a stop to this experiment by intercepting the ship, and military aviation waited until the great war for its full development. this caused a sudden demand for immense quantities of hydrogen and all manner of means was taken to get it. water is easily decomposed into hydrogen and oxygen by passing an electric current through it. in various electrolytical processes hydrogen has been a wasted by-product since the balloon demand was slight and it was more bother than it was worth to collect and purify the hydrogen. another way of getting hydrogen in quantity is by passing steam over red-hot coke. this produces the blue water-gas, which contains about per cent. hydrogen, per cent. carbon monoxide and the rest nitrogen and carbon dioxide. the last is removed by running the mixed gases through lime. then the nitrogen and carbon monoxide are frozen out in an air-liquefying apparatus and the hydrogen escapes to the storage tank. the liquefied carbon monoxide, allowed to regain its gaseous form, is used in an internal combustion engine to run the plant. there are then many ways of producing hydrogen, but it is so light and bulky that it is difficult to get it where it is wanted. the american government in the war made use of steel cylinders each holding cubic feet of the gas under a pressure of pounds per square inch. even the hydrogen used by the troops in france was shipped from america in this form. for field use the ferro-silicon and soda process was adopted. a portable generator of this type was capable of producing , cubic feet of the gas per hour. the discovery by a kansas chemist of natural sources of helium may make it possible to free ballooning of its great danger, for helium is non-inflammable and almost as light as hydrogen. other uses of hydrogen besides ballooning have already been referred to in other chapters. it is combined with nitrogen to form synthetic ammonia. it is combined with oxygen in the oxy-hydrogen blowpipe to produce heat. it is combined with vegetable and animal oils to convert them into solid fats. there is also the possibility of using it as a fuel in the internal combustion engine in place of gasoline, but for this purpose we must find some way of getting hydrogen portable or producible in a compact form. aluminum, like silicon, sodium and calcium, has been rescued by violence from its attachment to oxygen and like these metals it reverts with readiness to its former affinity. dr. goldschmidt made use of this reaction in his thermit process. powdered aluminum is mixed with iron oxide (rust). if the mixture is heated at any point a furious struggle takes place throughout the whole mass between the iron and the aluminum as to which metal shall get the oxygen, and the aluminum always comes out ahead. the temperature runs up to some degrees fahrenheit within thirty seconds and the freed iron, completely liquefied, runs down into the bottom of the crucible, where it may be drawn off by opening a trap door. the newly formed aluminum oxide (alumina) floats as slag on top. the applications of the thermit process are innumerable. if, for instance, it is desired to mend a broken rail or crank shaft without moving it from its place, the two ends are brought together or fixed at the proper distance apart. a crucible filled with the thermit mixture is set up above the joint and the thermit ignited with a priming of aluminum and barium peroxide to start it off. the barium peroxide having a superabundance of oxygen gives it up readily and the aluminum thus encouraged attacks the iron oxide and robs it of its oxygen. as soon as the iron is melted it is run off through the bottom of the crucible and fills the space between the rail ends, being kept from spreading by a mold of refractory material such as magnesite. the two ends of the rail are therefore joined by a section of the same size, shape, substance and strength as themselves. the same process can be used for mending a fracture or supplying a missing fragment of a steel casting of any size, such as a ship's propeller or a cogwheel. [illustration: types of gas mask used by america, the allies, and germany during the war in the top row are the american masks, chronologically, from left to right: u.s. navy mask (obsolete), u.s. navy mask (final type), u.s. army box respirator (used throughout the war), u.s.r.f.k. respirator, u.s.a.t. respirator (an all-rubber mask), u.s.k.t. respirator (a sewed fabric mask), and u.s. "model ," ready for production when the armistice was signed. in the middle row, left to right, are: british veil (the original emergency mask used in april, ), british p.h. helmet (the next emergency mask), british box respirator (standard british army type), french m mask (original type), french tissot artillery mask, and french a.r.s. mask (latest type). in the front row: the latest german mask, the russian mask, italian mask, british motor corps mask, u.s. rear area emergency respirator, and u.s. connell mask] [illustration: pumping melted white phosphorus into hand grenades filled with water--edgewood arsenal] [illustration: filling shell with "mustard gas" empty shells are being placed on small trucks to be run into the filling chamber. the large truck in the foreground contains loaded shell] for smaller work thermit has two rivals, the oxy-acetylene torch and electric welding. the former has been described and the latter is rather out of the range of this volume, although i may mention that in the latter part of there was launched from a british shipyard the first rivotless steel vessel. in this the steel plates forming the shell, bulkheads and floors are welded instead of being fastened together by rivets. there are three methods of doing this depending upon the thickness of the plates and the sort of strain they are subject to. the plates may be overlapped and tacked together at intervals by pressing the two electrodes on opposite sides of the same point until the spot is sufficiently heated to fuse together the plates here. or roller electrodes may be drawn slowly along the line of the desired weld, fusing the plates together continuously as they go. or, thirdly, the plates may be butt-welded by being pushed together edge to edge without overlapping and the electric current being passed from one plate to the other heats up the joint where the conductivity is interrupted. it will be observed that the thermit process is essentially like the ordinary blast furnace process of smelting iron and other metals except that aluminum is used instead of carbon to take the oxygen away from the metal in the ore. this has an advantage in case carbon-free metals are desired and the process is used for producing manganese, tungsten, titanium, molybdenum, vanadium and their allows with iron and copper. during the war thermit found a new and terrible employment, as it was used by the airmen for setting buildings on fire and exploding ammunition dumps. the german incendiary bombs consisted of a perforated steel nose-piece, a tail to keep it falling straight and a cylindrical body which contained a tube of thermit packed around with mineral wax containing potassium perchlorate. the fuse was ignited as the missile was released and the thermit, as it heated up, melted the wax and allowed it to flow out together with the liquid iron through the holes in the nose-piece. the american incendiary bombs were of a still more malignant type. they weighed about forty pounds apiece and were charged with oil emulsion, thermit and metallic sodium. sodium decomposes water so that if any attempt were made to put out with a hose a fire started by one of these bombs the stream of water would be instantaneously changed into a jet of blazing hydrogen. besides its use in combining and separating different elements the electric furnace is able to change a single element into its various forms. carbon, for instance, is found in three very distinct forms: in hard, transparent and colorless crystals as the diamond, in black, opaque, metallic scales as graphite, and in shapeless masses and powder as charcoal, coke, lampblack, and the like. in the intense heat of the electric arc these forms are convertible one into the other according to the conditions. since the third form is the cheapest the object is to change it into one of the other two. graphite, plumbago or "blacklead," as it is still sometimes called, is not found in many places and more rarely found pure. the supply was not equal to the demand until acheson worked out the process of making it by packing powdered anthracite between the electrodes of his furnace. in this way graphite can be cheaply produced in any desired quantity and quality. since graphite is infusible and incombustible except at exceedingly high temperatures, it is extensively used for crucibles and electrodes. these electrodes are made in all sizes for the various forms of electric lamps and furnaces from rods one-sixteenth of an inch in diameter to bars a foot thick and six feet long. it is graphite mixed with fine clay to give it the desired degree of hardness that forms the filling of our "lead" pencils. finely ground and flocculent graphite treated with tannin may be held in suspension in liquids and even pass through filter-paper. the mixture with water is sold under the name of "aquadag," with oil as "oildag" and with grease as "gredag," for lubrication. the smooth, slippery scales of graphite in suspension slide over each other easily and keep the bearings from rubbing against each other. the other and more difficult metamorphosis of carbon, the transformation of charcoal into diamond, was successfully accomplished by moissan in . henri moissan was a toxicologist, that is to say, a professor of poisoning, in the paris school of pharmacy, who took to experimenting with the electric furnace in his leisure hours and did more to demonstrate its possibilities than any other man. with it he isolated fluorine, most active of the elements, and he prepared for the first time in their purity many of the rare metals that have since found industrial employment. he also made the carbides of the various metals, including the now common calcium carbide. among the problems that he undertook and solved was the manufacture of artificial diamonds. he first made pure charcoal by burning sugar. this was packed with iron in the hollow of a block of lime into which extended from opposite sides the carbon rods connected to the dynamo. when the iron had melted and dissolved all the carbon it could, moissan dumped it into water or better into melted lead or into a hole in a copper block, for this cooled it most rapidly. after a crust was formed it was left to solidify slowly. the sudden cooling of the iron on the outside subjected the carbon, which was held in solution, to intense pressure and when the bit of iron was dissolved in acid some of the carbon was found to be crystallized as diamond, although most of it was graphite. to be sure, the diamonds were hardly big enough to be seen with the naked eye, but since moissan's aim was to make diamonds, not big diamonds, he ceased his efforts at this point. to produce large diamonds the carbon would have to be liquefied in considerable quantity and kept in that state while it slowly crystallized. but that could only be accomplished at a temperature and pressure and duration unattainable as yet. under ordinary atmospheric pressure carbon passes over from the solid to the gaseous phase without passing through the liquid, just as snow on a cold, clear day will evaporate without melting. probably some one in the future will take up the problem where moissan dropped it and find out how to make diamonds of any size. but it is not a question that greatly interests either the scientist or the industrialist because there is not much to be learned from it and not much to be made out of it. if the inventor of a process for making cheap diamonds could keep his electric furnace secretly in his cellar and market his diamonds cautiously he might get rich out of it, but he would not dare to turn out very large stones or too many of them, for if a suspicion got around that he was making them the price would fall to almost nothing even if he did sell another one. for the high price of the diamond is purely fictitious. it is in the first place kept up by limiting the output of the natural stone by the combination of dealers and, further, the diamond is valued not for its usefulness or beauty but by its real or supposed rarity. chesterton says: "all is gold that glitters, for the glitter is the gold." this is not so true of gold, for if gold were as cheap as nickel it would be very valuable, since we should gold-plate our machinery, our ships, our bridges and our roofs. but if diamonds were cheap they would be good for nothing except grindstones and drills. an imitation diamond made of heavy glass (paste) cannot be distinguished from the genuine gem except by an expert. it sparkles about as brilliantly, for its refractive index is nearly as high. the reason why it is not priced so highly is because the natural stone has presumably been obtained through the toil and sweat of hundreds of negroes searching in the blue ground of the transvaal for many months. it is valued exclusively by its cost. to wear a diamond necklace is the same as hanging a certified check for $ , by a string around the neck. real values are enhanced by reduction in the cost of the price of production. fictitious values are destroyed by it. aluminum at twenty-five cents a pound is immensely more valuable to the world than when it is a curiosity in the chemist's cabinet and priced at $ a pound. so the scope of the electric furnace reaches from the costly but comparatively valueless diamond to the cheap but indispensable steel. as f.j. tone says, if the automobile manufacturers were deprived of niagara products, the abrasives, aluminum, acetylene for welding and high-speed tool steel, a factory now turning out five hundred cars a day would be reduced to one hundred. i have here been chiefly concerned with electricity as effecting chemical changes in combining or separating elements, but i must not omit to mention its rapidly extending use as a source of heat, as in the production and casting of steel. in there were only fifty-five tons of steel produced by the electric furnace in the united states, but by this had risen to , tons. and besides ordinary steel the electric furnace has given us alloys of iron with the once "rare metals" that have created a new science of metallurgy. chapter xiv metals, old and new the primitive metallurgist could only make use of such metals as he found free in nature, that is, such as had not been attacked and corroded by the ubiquitous oxygen. these were primarily gold or copper, though possibly some original genius may have happened upon a bit of meteoric iron and pounded it out into a sword. but when man found that the red ocher he had hitherto used only as a cosmetic could be made to yield iron by melting it with charcoal he opened a new era in civilization, though doubtless the ocher artists of that day denounced him as a utilitarian and deplored the decadence of the times. iron is one of the most timid of metals. it has a great disinclination to be alone. it is also one of the most altruistic of the elements. it likes almost every other element better than itself. it has an especial affection for oxygen, and, since this is in both air and water, and these are everywhere, iron is not long without a mate. the result of this union goes by various names in the mineralogical and chemical worlds, but in common language, which is quite good enough for our purpose, it is called iron rust. [illustration: by courtesy _mineral foote-notes_. from agricola's "de re metallica ." primitive furnace for smelting iron ore.] not many of us have ever seen iron, the pure metal, soft, ductile and white like silver. as soon as it is exposed to the air it veils itself with a thin film of rust and becomes black and then red. for that reason there is practically no iron in the world except what man has made. it is rarer than gold, than diamonds; we find in the earth no nuggets or crystals of it the size of the fist as we find of these. but occasionally there fall down upon us out of the clear sky great chunks of it weighing tons. these meteorites are the mavericks of the universe. we do not know where they come from or what sun or planet they belonged to. they are our only visitors from space, and if all the other spheres are like these fragments we know we are alone in the universe. for they contain rustless iron, and where iron does not rust man cannot live, nor can any other animal or any plant. iron rusts for the same reason that a stone rolls down hill, because it gets rid of its energy that way. all things in the universe are constantly trying to get rid of energy except man, who is always trying to get more of it. or, on second thought, we see that man is the greatest spendthrift of all, for he wants to expend so much more energy than he has that he borrows from the winds, the streams and the coal in the rocks. he robs minerals and plants of the energy which they have stored up to spend for their own purposes, just as he robs the bee of its honey and the silk worm of its cocoon. man's chief business is in reversing the processes of nature. that is the way he gets his living. and one of his greatest triumphs was when he discovered how to undo iron rust and get the metal out of it. in the four thousand years since he first did this he has accomplished more than in the millions of years before. without knowing the value of iron rust man could attain only to the culture of the aztecs and incas, the ancient egyptians and assyrians. the prosperity of modern states is dependent on the amount of iron rust which they possess and utilize. england, united states, germany, all nations are competing to see which can dig the most iron rust out of the ground and make out of it railroads, bridges, buildings, machinery, battleships and such other tools and toys and then let them relapse into rust again. civilization can be measured by the amount of iron rusted per capita, or better, by the amount rescued from rust. but we are devoting so much space to the consideration of the material aspects of iron that we are like to neglect its esthetic and ethical uses. the beauty of nature is very largely dependent upon the fact that iron rust and, in fact, all the common compounds of iron are colored. few elements can assume so many tints. look at the paint pot cañons of the yellowstone. cheap glass bottles turn out brown, green, blue, yellow or black, according to the amount and kind of iron they contain. we build a house of cream-colored brick, varied with speckled brick and adorned with terra cotta ornaments of red, yellow and green, all due to iron. iron rusts, therefore it must be painted; but what is there better to paint it with than iron rust itself? it is cheap and durable, for it cannot rust any more than a dead man can die. and what is also of importance, it is a good, strong, clean looking, endurable color. whenever we take a trip on the railroad and see the miles of cars, the acres of roofing and wall, the towns full of brick buildings, we rejoice that iron rust is red, not white or some leas satisfying color. we do not know why it is so. zinc and aluminum are metals very much like iron in chemical properties, but all their salts are colorless. why is it that the most useful of the metals forms the most beautiful compounds? some say, providence; some say, chance; some say nothing. but if it had not been so we would have lost most of the beauty of rocks and trees and human beings. for the leaves and the flowers would all be white, and all the men and women would look like walking corpses. without color in the flower what would the bees and painters do? if all the grass and trees were white, it would be like winter all the year round. if we had white blood in our veins like some of the insects it would be hard lines for our poets. and what would become of our morality if we could not blush? "as for me, i thrill to see the bloom a velvet cheek discloses! made of dust! i well believe it, so are lilies, so are roses." an etiolated earth would be hardly worth living in. the chlorophyll of the leaves and the hemoglobin of the blood are similar in constitution. chlorophyll contains magnesium in place of iron but iron is necessary to its formation. we all know how pale a plant gets if its soil is short of iron. it is the iron in the leaves that enables the plants to store up the energy of the sunshine for their own use and ours. it is the iron in our blood that enables us to get the iron out of iron rust and make it into machines to supplement our feeble hands. iron is for us internally the carrier of energy, just as in the form of a trolley wire or of a third rail it conveys power to the electric car. withdraw the iron from the blood as indicated by the pallor of the cheeks, and we become weak, faint and finally die. if the amount of iron in the blood gets too small the disease germs that are always attacking us are no longer destroyed, but multiply without check and conquer us. when the iron ceases to work efficiently we are killed by the poison we ourselves generate. counting the number of iron-bearing corpuscles in the blood is now a common method of determining disease. it might also be useful in moral diagnosis. a microscopical and chemical laboratory attached to the courtroom would give information of more value than some of the evidence now obtained. for the anemic and the florid vices need very different treatment. an excess or a deficiency of iron in the body is liable to result in criminality. a chemical system of morals might be developed on this basis. among the ferruginous sins would be placed murder, violence and licentiousness. among the non-ferruginous, cowardice, sloth and lying. the former would be mostly sins of commission, the latter, sins of omission. the virtues could, of course, be similarly classified; the ferruginous virtues would include courage, self-reliance and hopefulness; the non-ferruginous, peaceableness, meekness and chastity. according to this ethical criterion the moral man would be defined as one whose conduct is better than we should expect from the per cent. of iron in his blood. the reason why iron is able to serve this unique purpose of conveying life-giving air to all parts of the body is because it rusts so readily. oxidation and de-oxidation proceed so quietly that the tenderest cells are fed without injury. the blood changes from red to blue and _vice versa_ with greater ease and rapidity than in the corresponding alternations of social status in a democracy. it is because iron is so rustable that it is so useful. the factories with big scrap-heaps of rusting machinery are making the most money. the pyramids are the most enduring structures raised by the hand of man, but they have not sheltered so many people in their forty centuries as our skyscrapers that are already rusting. we have to carry on this eternal conflict against rust because oxygen is the most ubiquitous of the elements and iron can only escape its ardent embraces by hiding away in the center of the earth. the united elements, known to the chemist as iron oxide and to the outside world as rust, are among the commonest of compounds and their colors, yellow and red like the spanish flag, are displayed on every mountainside. from the time of tubal cain man has ceaselessly labored to divorce these elements and, having once separated them, to keep them apart so that the iron may be retained in his service. but here, as usual, man is fighting against nature and his gains, as always, are only temporary. sooner or later his vigilance is circumvented and the metal that he has extricated by the fiery furnace returns to its natural affinity. the flint arrowheads, the bronze spearpoints, the gold ornaments, the wooden idols of prehistoric man are still to be seen in our museums, but his earliest steel swords have long since crumbled into dust. every year the blast furnaces of the world release , , tons of iron from its oxides and every year a large part, said to be a quarter of that amount, reverts to its primeval forms. if so, then man after five thousand years of metallurgical industry has barely got three years ahead of nature, and should he cease his efforts for a generation there would be little left to show that man had ever learned to extract iron from its ores. the old question, "what becomes of all the pins?" may be as well asked of rails, pipes and threshing machines. the end of all iron is the same. however many may be its metamorphoses while in the service of man it relapses at last into its original state of oxidation. to save a pound of iron from corrosion is then as much a benefit to the world as to produce another pound from the ore. in fact it is of much greater benefit, for it takes four pounds of coal to produce one pound of steel, so whenever a piece of iron is allowed to oxidize it means that four times as much coal must be oxidized in order to replace it. and the beds of coal will be exhausted before the beds of iron ore. if we are ever to get ahead, if we are to gain any respite from this enormous waste of labor and natural resources, we must find ways of preventing the iron which we have obtained and fashioned into useful tools from being lost through oxidation. now there is only one way of keeping iron and oxygen from uniting and that is to keep them apart. a very thin dividing wall will serve for the purpose, for instance, a film of oil. but ordinary oil will rub off, so it is better to cover the surface with an oil-like linseed which oxidizes to a hard elastic and adhesive coating. if with linseed oil we mix iron oxide or some other pigment we have a paint that will protect iron perfectly so long as it is unbroken. but let the paint wear off or crack so that air can get at the iron, then rust will form and spread underneath the paint on all sides. the same is true of the porcelain-like enamel with which our kitchen iron ware is nowadays coated. so long as the enamel holds it is all right but once it is broken through at any point it begins to scale off and gets into our food. obviously it would be better for some purposes if we could coat our iron with another and less easily oxidized metal than with such dissimilar substances as paint or porcelain. now the nearest relative to iron is nickel, and a layer of this of any desired thickness may be easily deposited by electricity upon any surface however irregular. nickel takes a bright polish and keeps it well, so nickel plating has become the favorite method of protection for small objects where the expense is not prohibitive. copper plating is used for fine wires. a sheet of iron dipped in melted tin comes out coated with a thin adhesive layer of the latter metal. such tinned plate commonly known as "tin" has become the favorite material for pans and cans. but if the tin is scratched the iron beneath rusts more rapidly than if the tin were not there, for an electrolytic action is set up and the iron, being the negative element of the couple, suffers at the expense of the tin. with zinc it is quite the opposite. zinc is negative toward iron, so when the two are in contact and exposed to the weather the zinc is oxidized first. a zinc plating affords the protection of a swiss guard, it holds out as long as possible and when broken it perishes to the last atom before it lets the oxygen get at the iron. the zinc may be applied in four different ways. ( ) it may be deposited by electrolysis as in nickel plating, but the zinc coating is more apt to be porous. ( ) the sheets or articles may be dipped in a bath of melted zinc. this gives us the familiar "galvanized iron," the most useful and when well done the most effective of rust preventives. besides these older methods of applying zinc there are now two new ones. ( ) one is the schoop process by which a wire of zinc or other metal is fed into an oxy-hydrogen air blast of such heat and power that it is projected as a spray of minute drops with the speed of bullets and any object subjected to the bombardment of this metallic mist receives a coating as thick as desired. the zinc spray is so fine and cool that it may be received on cloth, lace, or the bare hand. the schoop metallizing process has recently been improved by the use of the electric current instead of the blowpipe for melting the metal. two zinc wires connected with any electric system, preferably the direct, are fed into the "pistol." where the wires meet an electric arc is set up and the melted zinc is sprayed out by a jet of compressed air. ( ) in the sherardizing process the articles are put into a tight drum with zinc dust and heated to ° f. the zinc at this temperature attacks the iron and forms a series of alloys ranging from pure zinc on the top to pure iron at the bottom of the coating. even if this cracks in part the iron is more or less protected from corrosion so long as any zinc remains. aluminum is used similarly in the calorizing process for coating iron, copper or brass. first a surface alloy is formed by heating the metal with aluminum powder. then the temperature is raised to a high degree so as to cause the aluminum on the surface to diffuse into the metal and afterwards it is again baked in contact with aluminum dust which puts upon it a protective plating of the pure aluminum which does not oxidize. [illustration: photomicrographs showing the structure of steel made by professor e.g. martin of purdue university . cold-worked steel showing ferrite and sorbite (enlarged times) . steel showing pearlite crystals (enlarged times) . structure characteristic of air-cooled steel (enlarged times) . the triangular structure characteristic of cast steel showing ferrite and pearlite (enlarged times)] [illustration: courtesy of e.g. mahin the microscopic structure of metals . malleabilized casting; temper carbon in ferrite (enlarged times) . type metal; lead-antimony alloy in matrix of lead (enlarged times) . gray cast iron; carbon as graphite (enlarged times) . steel composed of cementite (white) and pearlite (black) (enlarged times)] another way of protecting iron ware from rusting is to rust it. this is a sort of prophylactic method like that adopted by modern medicine where inoculation with a mild culture prevents a serious attack of the disease. the action of air and water on iron forms a series of compounds and mixtures of them. those that contain least oxygen are hard, black and magnetic like iron itself. those that have most oxygen are red and yellow powders. by putting on a tight coating of the black oxide we can prevent or hinder the oxidation from going on into the pulverulent stage. this is done in several ways. in the bower-barff process the articles to be treated are put into a closed retort and a current of superheated steam passed through for twenty minutes followed by a current of producer gas (carbon monoxide), to reduce any higher oxides that may have been formed. in the gesner process a current of gasoline vapor is used as the reducing agent. the blueing of watch hands, buckles and the like may be done by dipping them into an oxidizing bath such as melted saltpeter. but in order to afford complete protection the layer of black oxide must be thickened by repeating the process which adds to the time and expense. this causes a slight enlargement and the high temperature often warps the ware so it is not suitable for nicely adjusted parts of machinery and of course tools would lose their temper by the heat. a new method of rust proofing which is free from these disadvantages is the phosphate process invented by thomas watts coslett, an english chemist, in , and developed in america by the parker company of detroit. this consists simply in dipping the sheet iron or articles into a tank filled with a dilute solution of iron phosphate heated nearly to the boiling point by steam pipes. bubbles of hydrogen stream off rapidly at first, then slower, and at the end of half an hour or longer the action ceases, and the process is complete. what has happened is that the iron has been converted into a basic iron phosphate to a depth depending upon the density of articles processed. any one who has studied elementary qualitative analysis will remember that when he added ammonia to his "unknown" solution, iron and phosphoric acid, if present, were precipitated together, or in other words, iron phosphate is insoluble except in acids. therefore a superficial film of such phosphate will protect the iron underneath except from acids. this film is not a coating added on the outside like paint and enamel or tin and nickel plate. it is therefore not apt to scale off and it does not increase the size of the article. no high heat is required as in the sherardizing and bower-barff processes, so steel tools can be treated without losing their temper or edge. the deposit consisting of ferrous and ferric phosphates mixed with black iron oxide may be varied in composition, texture and color. it is ordinarily a dull gray and oiling gives a soft mat black more in accordance with modern taste than the shiny nickel plating that delighted our fathers. even the military nowadays show more quiet taste than formerly and have abandoned their glittering accoutrements. the phosphate bath is not expensive and can be used continuously for months by adding more of the concentrated solution to keep up the strength and removing the sludge that is precipitated. besides the iron the solution contains the phosphates of other metals such as calcium or strontium, manganese, molybdenum, or tungsten, according to the particular purpose. since the phosphating solution does not act on nickel it may be used on articles that have been partly nickel-plated so there may be produced, for instance, a bright raised design against a dull black background. then, too, the surface left by the parker process is finely etched so it affords a good attachment for paint or enamel if further protection is needed. even if the enamel does crack, the iron beneath is not so apt to rust and scale off the coating. these, then, are some of the methods which are now being used to combat our eternal enemy, the rust that doth corrupt. all of them are useful in their several ways. no one of them is best for all purposes. the claim of "rust-proof" is no more to be taken seriously than "fire-proof." we should rather, if we were finical, have to speak of "rust-resisting" coatings as we do of "slow-burning" buildings. nature is insidious and unceasing in her efforts to bring to ruin the achievements of mankind and we need all the weapons we can find to frustrate her destructive determination. but it is not enough for us to make iron superficially resistant to rust from the atmosphere. we should like also to make it so that it would withstand corrosion by acids, then it could be used in place of the large and expensive platinum or porcelain evaporating pans and similar utensils employed in chemical works. this requirement also has been met in the non-corrosive forms of iron, which have come into use within the last five years. one of these, "tantiron," invented by a british metallurgist, robert n. lennox, in , contains per cent. of silicon. similar products are known as "duriron" and "buflokast" in america, "metilure" in france, "ileanite" in italy and "neutraleisen" in germany. it is a silvery-white close-grained iron, very hard and rather brittle, somewhat like cast iron but with silicon as the main additional ingredient in place of carbon. it is difficult to cut or drill but may be ground into shape by the new abrasives. it is rustproof and is not attacked by sulfuric, nitric or acetic acid, hot or cold, diluted or concentrated. it does not resist so well hydrochloric acid or sulfur dioxide or alkalies. the value of iron lies in its versatility. it is a dozen metals in one. it can be made hard or soft, brittle or malleable, tough or weak, resistant or flexible, elastic or pliant, magnetic or non-magnetic, more or less conductive to electricity, by slight changes of composition or mere differences of treatment. no wonder that the medieval mind ascribed these mysterious transformations to witchcraft. but the modern micrometallurgist, by etching the surface of steel and photographing it, shows it up as composite as a block of granite. he is then able to pick out its component minerals, ferrite, austenite, martensite, pearlite, graphite, cementite, and to show how their abundance, shape and arrangement contribute to the strength or weakness of the specimen. the last of these constituents, cementite, is a definite chemical compound, an iron carbide, fe_{ }c, containing . per cent. of carbon, so hard as to scratch glass, very brittle, and imparting these properties to hardened steel and cast iron. with this knowledge at his disposal the iron-maker can work with his eyes open and so regulate his melt as to cause these various constituents to crystallize out as he wants them to. besides, he is no longer confined to the alloys of iron and carbon. he has ransacked the chemical dictionary to find new elements to add to his alloys, and some of these rarities have proved to possess great practical value. vanadium, for instance, used to be put into a fine print paragraph in the back of the chemistry book, where the class did not get to it until the term closed. yet if it had not been for vanadium steel we should have no ford cars. tungsten, too, was relegated to the rear, and if the student remembered it at all it was because it bothered him to understand why its symbol should be w instead of t. but the student of today studies his lesson in the light of a tungsten wire and relieves his mind by listening to a phonograph record played with a "tungs-tone" stylus. when i was assistant in chemistry an "analysis" of steel consisted merely in the determination of its percentage of carbon, and i used to take saturday for it so i could have time enough to complete the combustion. now the chemists of a steel works' laboratory may have to determine also the tungsten, chromium, vanadium, titanium, nickel, cobalt, phosphorus, molybdenum, manganese, silicon and sulfur, any or all of them, and be spry about it, because if they do not get the report out within fifteen minutes while the steel is melting in the electrical furnace the whole batch of tons may go wrong. i'm glad i quit the laboratory before they got to speeding up chemists so. the quality of the steel depends upon the presence and the relative proportions of these ingredients, and a variation of a tenth of per cent. in certain of them will make a different metal out of it. for instance, the steel becomes stronger and tougher as the proportion of nicked is increased up to about per cent. raising the percentage to we get an alloy that does not rust or corrode and is non-magnetic, although both its component metals, iron and nickel, are by themselves attracted by the magnet. with per cent. nickel and per cent. manganese we get the alloy known as "invar," because it expands and contracts very little with changes of temperature. a bar of the best form of invar will expand less than one-millionth part of its length for a rise of one degree centigrade at ordinary atmospheric temperature. for this reason it is used in watches and measuring instruments. the alloy of iron with per cent. nickel is called "platinite" because its rate of expansion and contraction is the same as platinum and glass, and so it can be used to replace the platinum wire passing through the glass of an electric light bulb. a manganese steel of to per cent. is too hard to be machined. it has to be cast or ground into shape and is used for burglar-proof safes and armor plate. chrome steel is also hard and tough and finds use in files, ball bearings and projectiles. titanium, which the iron-maker used to regard as his implacable enemy, has been drafted into service as a deoxidizer, increasing the strength and elasticity of the steel. it is reported from france that the addition of three-tenths of per cent. of zirconium to nickel steel has made it more resistant to the german perforating bullets than any steel hitherto known. the new "stainless" cutlery contains to per cent. of chromium. with the introduction of harder steels came the need of tougher tools to work them. now the virtue of a good tool steel is the same as of a good man. it must be able to get hot without losing its temper. steel of the old-fashioned sort, as everybody knows, gets its temper by being heated to redness and suddenly cooled by quenching or plunging it into water or oil. but when the point gets heated up again, as it does by friction in a lathe, it softens and loses its cutting edge. so the necessity of keeping the tool cool limited the speed of the machine. but about a sheffield metallurgist, robert f. mushet, found that a piece of steel he was working with did not require quenching to harden it. he had it analyzed to discover the meaning of this peculiarity and learned that it contained tungsten, a rare metal unrecognized in the metallurgy of that day. further investigation showed that steel to which tungsten and manganese or chromium had been added was tougher and retained its temper at high temperature better than ordinary carbon steel. tools made from it could be worked up to a white heat without losing their cutting power. the new tools of this type invented by "efficiency" taylor at the bethlehem steel works in the nineties have revolutionized shop practice the world over. a tool of the old sort could not cut at a rate faster than thirty feet a minute without overheating, but the new tungsten tools will plow through steel ten times as fast and can cut away a ton of the material in an hour. by means of these high-speed tools the united states was able to turn out five times the munitions that it could otherwise have done in the same time. on the other hand, if germany alone had possessed the secret of the modern steels no power could have withstood her. a slight superiority in metallurgy has been the deciding factor in many a battle. those of my readers who have had the advantages of sunday school training will recall the case described in i samuel : - . by means of these new metals armor plate has been made invulnerable--except to projectiles pointed with similar material. flying has been made possible through engines weighing no more than two pounds per horse power. the cylinders of combustion engines and the casing of cannon have been made to withstand the unprecedented pressure and corrosive action of the fiery gases evolved within. castings are made so hard that they cannot be cut--save with tools of the same sort. in the high-speed tools now used or per cent, of the iron is displaced by other ingredients; for example, tungsten from to per cent., chromium from to per cent., vanadium from / to - / per cent., carbon from to per cent., with perhaps cobalt up to per cent. molybdenum or uranium may replace part of the tungsten. some of the newer alloys for high-speed tools contain no iron at all. that which bears the poetic name of star-stone, stellite, is composed of chromium, cobalt and tungsten in varying proportions. stellite keeps a hard cutting edge and gets tougher as it gets hotter. it is very hard and as good for jewelry as platinum except that it is not so expensive. cooperite, its rival, is an alloy of nickel and zirconium, stronger, lighter and cheaper than stellite. before the war nearly half of the world's supply of tungsten ore (wolframite) came from burma. but although burma had belonged to the british for a hundred years they had not developed its mineral resources and the tungsten trade was monopolized by the germans. all the ore was shipped to germany and the british admiralty was content to buy from the germans what tungsten was needed for armor plate and heavy guns. when the war broke out the british had the ore supply, but were unable at first to work it because they were not familiar with the processes. germany, being short of tungsten, had to sneak over a little from baltimore in the submarine _deutschland_. in the united states before the war tungsten ore was selling at $ . a unit, but by the beginning of it had jumped to $ a unit. a unit is per cent. of tungsten trioxide to the ton, that is, twenty pounds. boulder county, colorado, and san bernardino, california, then had mining booms, reminding one of older times. between may and december, , there was manufactured in the united states more than , , pounds of tungsten steel containing some , , pounds of tungsten. if tungsten ores were more abundant and the metal more easily manipulated, it would displace steel for many purposes. it is harder than steel or even quartz. it never rusts and is insoluble in acids. its expansion by heat is one-third that of iron. it is more than twice as heavy as iron and its melting point is twice as high. its electrical resistance is half that of iron and its tensile strength is a third greater than the strongest steel. it can be worked into wire . of an inch in diameter, almost too thin to be seen, but as strong as copper wire ten times the size. the tungsten wires in the electric lamps are about . of an inch in diameter, and they give three times the light for the same consumption of electricity as the old carbon filament. the american manufacturers of the tungsten bulb have very appropriately named their lamp "mazda" after the light god of the zoroastrians. to get the tungsten into wire form was a problem that long baffled the inventors of the world, for it was too refractory to be melted in mass and too brittle to be drawn. dr. w.d. coolidge succeeded in accomplishing the feat in by reducing the tungstic acid by hydrogen and molding the metallic powder into a bar by pressure. this is raised to a white heat in the electric furnace, taken out and rolled down, and the process repeated some fifty times, until the wire is small enough so it can be drawn at a red heat through diamond dies of successively smaller apertures. the german method of making the lamp filaments is to squirt a mixture of tungsten powder and thorium oxide through a perforated diamond of the desired diameter. the filament so produced is drawn through a chamber heated to ° c. at a velocity of eight feet an hour, which crystallizes the tungsten into a continuous thread. the first metallic filament used in the electric light on a commercial scale was made of tantalum, the metal of tantalus. in the period - over , , tantalus lamps were sold, but tungsten displaced them as soon as that metal could be drawn into wire. a recent rival of tungsten both as a filament for lamps and hardener for steel is molybdenum. one pound of this metal will impart more resiliency to steel than three or four pounds of tungsten. the molybdenum steel, because it does not easily crack, is said to be serviceable for armor-piercing shells, gun linings, air-plane struts, automobile axles and propeller shafts. in combination with its rival as a tungsten-molybdenum alloy it is capable of taking the place of the intolerably expensive platinum, for it resists corrosion when used for spark plugs and tooth plugs. european steel men have taken to molybdenum more than americans. the salts of this metal can be used in dyeing and photography. calcium, magnesium and aluminum, common enough in their compounds, have only come into use as metals since the invention of the electric furnace. now the photographer uses magnesium powder for his flashlight when he wants to take a picture of his friends inside the house, and the aviator uses it when he wants to take a picture of his enemies on the open field. the flares prepared by our government for the war consist of a sheet iron cylinder, four feet long and six inches thick, containing a stick of magnesium attached to a tightly rolled silk parachute twenty feet in diameter when expanded. the whole weighed pounds. on being dropped from the plane by pressing a button, the rush of air set spinning a pinwheel at the bottom which ignited the magnesium stick and detonated a charge of black powder sufficient to throw off the case and release the parachute. the burning flare gave off a light of , candle power lasting for ten minutes as the parachute slowly descended. this illuminated the ground on the darkest night sufficiently for the airman to aim his bombs or to take photographs. the addition of or per cent. of magnesium to aluminum gives an alloy (magnalium) that is almost as light as aluminum and almost as strong as steel. an alloy of per cent. aluminum and per cent. calcium is lighter and harder than aluminum and more resistant to corrosion. the latest german airplane, the "junker," was made entirely of duralumin. even the wings were formed of corrugated sheets of this alloy instead of the usual doped cotton-cloth. duralumin is composed of about per cent. of aluminum, per cent. of copper, per cent. of zinc and per cent. of tin. when platinum was first discovered it was so cheap that ingots of it were gilded and sold as gold bricks to unwary purchasers. the russian government used it as we use nickel, for making small coins. but this is an exception to the rule that the demand creates the supply. platinum is really a "rare metal," not merely an unfamiliar one. nowhere except in the urals is it found in quantity, and since it seems indispensable in chemical and electrical appliances, the price has continually gone up. russia collapsed into chaos just when the war work made the heaviest demand for platinum, so the governments had to put a stop to its use for jewelry and photography. the "gold brick" scheme would now have to be reversed, for gold is used as a cheaper metal to "adulterate" platinum. all the members of the platinum family, formerly ignored, were pressed into service, palladium, rhodium, osmium, iridium, and these, alloyed with gold or silver, were employed more or less satisfactorily by the dentist, chemist and electrician as substitutes for the platinum of which they had been deprived. one of these alloys, composed of per cent. palladium and per cent. gold, and bearing the telescoped name of "palau" (palladium au-rum) makes very acceptable crucibles for the laboratory and only costs half as much as platinum. "rhotanium" is a similar alloy recently introduced. the points of our gold pens are tipped with an osmium-iridium alloy. it is a pity that this family of noble metals is so restricted, for they are unsurpassed in tenacity and incorruptibility. they could be of great service to the world in war and peace. as the "bad child" says in his "book of beasts": i shoot the hippopotamus with bullets made of platinum, because if i use leaden ones, his hide is sure to flatten 'em. along in the latter half of the last century chemists had begun to perceive certain regularities and relationships among the various elements, so they conceived the idea that some sort of a pigeon-hole scheme might be devised in which the elements could be filed away in the order of their atomic weights so that one could see just how a certain element, known or unknown, would behave from merely observing its position in the series. mendeléef, a russian chemist, devised the most ingenious of such systems called the "periodic law" and gave proof that there was something in his theory by predicting the properties of three metallic elements, then unknown but for which his arrangement showed three empty pigeon-holes. sixteen years later all three of these predicted elements had been discovered, one by a frenchman, one by a german and one by a scandinavian, and named from patriotic impulse, gallium, germanium and scandium. this was a triumph of scientific prescience as striking as the mathematical proof of the existence of the planet neptune by leverrier before it had been found by the telescope. but although mendeléef's law told "the truth," it gradually became evident that it did not tell "the whole truth and nothing but the truth," as the lawyers put it. as usually happens in the history of science the hypothesis was found not to explain things so simply and completely as was at first assumed. the anomalies in the arrangement did not disappear on closer study, but stuck out more conspicuously. though mendeléef had pointed out three missing links, he had failed to make provision for a whole group of elements since discovered, the inert gases of the helium-argon group. as we now know, the scheme was built upon the false assumptions that the elements are immutable and that their atomic weights are invariable. the elements that the chemists had most difficulty in sorting out and identifying were the heavy metals found in the "rare earths." there were about twenty of them so mixed up together and so much alike as to baffle all ordinary means of separating them. for a hundred years chemists worked over them and quarreled over them before they discovered that they had a commercial value. it was a problem as remote from practicality as any that could be conceived. the man in the street did not see why chemists should care whether there were two didymiums any more than why theologians should care whether there were two isaiahs. but all of a sudden, in , the chemical puzzle became a business proposition. the rare earths became household utensils and it made a big difference with our monthly gas bills whether the ceria and the thoria in the burner mantles were absolutely pure or contained traces of some of the other elements that were so difficult to separate. this sudden change of venue from pure to applied science came about through a viennese chemist, dr. carl auer, later and in consequence known as baron auer von welsbach. he was trying to sort out the rare earths by means of the spectroscopic method, which consists ordinarily in dipping a platinum wire into a solution of the unknown substance and holding it in a colorless gas flame. as it burns off, each element gives a characteristic color to the flame, which is seen as a series of lines when looked at through the spectroscope. but the flash of the flame from the platinum wire was too brief to be studied, so dr. auer hit upon the plan of soaking a thread in the liquid and putting this in the gas jet. the cotton of course burned off at once, but the earths held together and when heated gave off a brilliant white light, very much like the calcium or limelight which is produced by heating a stick of quicklime in the oxy-hydrogen flame. but these rare earths do not require any such intense heat as that, for they will glow in an ordinary gas jet. so the welsbach mantle burner came into use everywhere and rescued the coal gas business from the destruction threatened by the electric light. it was no longer necessary to enrich the gas with oil to make its flame luminous, for a cheaper fuel gas such as is used for a gas stove will give, with a mantle, a fine white light of much higher candle power than the ordinary gas jet. the mantles are knit in narrow cylinders on machines, cut off at suitable lengths, soaked in a solution of the salts of the rare earths and dried. artificial silk (viscose) has been found better than cotton thread for the mantles, for it is solid, not hollow, more uniform in quality and continuous instead of being broken up into one-inch fibers. there is a great deal of difference in the quality of these mantles, as every one who has used them knows. some that give a bright glow at first with the gas-cock only half open will soon break up or grow dull and require more gas to get any kind of a light out of them. others will last long and grow better to the last. slight impurities in the earths or the gas will speedily spoil the light. the best results are obtained from a mixture of parts thoria and part ceria. it is the ceria that gives the light, yet a little more of it will lower the luminosity. the non-chemical reader is apt to be confused by the strange names and their varied terminations, but he need not be when he learns that the new metals are given names ending in _-um_, such as sodium, cerium, thorium, and that their oxides (compounds with oxygen, the earths) are given the termination _-a_, like soda, ceria, thoria. so when he sees a name ending in _-um_ let him picture to himself a metal, any metal since they mostly look alike, lead or silver, for example. and when he comes across a name ending in _-a_ he may imagine a white powder like lime. thorium, for instance, is, as its name implies, a metal named after the thunder god thor, to whom we dedicate one day in each week, thursday. cerium gets its name from the roman goddess of agriculture by way of the asteroid. the chief sources of the material for the welsbach burners is monazite, a glittering yellow sand composed of phosphate of cerium with some per cent. of thorium. in the united states imported , , pounds of monazite from brazil and india, most of which used to go to germany. in we got over a million and a half pounds from the carolinas, but the foreign sand is richer and cheaper. the price of the salts of the rare metals fluctuates wildly. in thorium nitrate sold at $ a pound; in it fell to $ . , and in it rose to $ . since the monazite contains more cerium than thorium and the mantles made from it contain more thorium than cerium, there is a superfluity of cerium. the manufacturers give away a pound of cerium salts with every purchase of a hundred pounds of thorium salts. it annoyed welsbach to see the cerium residues thrown away and accumulating around his mantle factory, so he set out to find some use for it. he reduced the mixed earths to a metallic form and found that it gave off a shower of sparks when scratched. an alloy of cerium with or per cent. of iron proved the best and was put on the market in the form of automatic lighters. a big business was soon built up in austria on the basis of this obscure chemical element rescued from the dump-heap. the sale of the cerite lighters in france threatened to upset the finances of the republic, which derived large revenue from its monopoly of match-making, so the french government imposed a tax upon every man who carried one. american tourists who bought these lighters in germany used to be much annoyed at being held up on the french frontier and compelled to take out a license. during the war the cerium sparklers were much used in the trenches for lighting cigarettes, but--as those who have seen "the better 'ole" will know--they sometimes fail to strike fire. auer-metal or cerium-iron alloy was used in munitions to ignite hand grenades and to blazon the flight of trailer shells. there are many other pyrophoric (light-producing) alloys, including steel, which our ancestors used with flint before matches and percussion caps were invented. there are more than fifty metals known and not half of them have come into common use, so there is still plenty of room for the expansion of the science of metallurgy. if the reader has not forgotten his arithmetic of permutations he can calculate how many different alloys may be formed by varying the combinations and proportions of these fifty. we have seen how quickly elements formerly known only to chemists--and to some of them known only by name--have become indispensable in our daily life. any one of those still unutilized may be found to have peculiar properties that fit it for filling a long unfelt want in modern civilization. who, for instance, will find a use for gallium, the metal of france? it was described in by mendeléef in advance of its advent and has been known in person since , but has not yet been set to work. it is such a remarkable metal that it must be good for something. if you saw it in a museum case on a cold day you might take it to be a piece of aluminum, but if the curator let you hold it in your hand--which he won't--it would melt and run over the floor like mercury. the melting point is ° fahr. it might be used in thermometers for measuring temperatures above the boiling point of mercury were it not for the peculiar fact that gallium wets glass so it sticks to the side of the tube instead of forming a clear convex curve on top like mercury. then there is columbium, the american metal. it is strange that an element named after columbia should prove so impractical. columbium is a metal closely resembling tantalum and tantalum found a use as electric light filaments. a columbium lamp should appeal to our patriotism. the so-called "rare elements" are really abundant enough considering the earth's crust as a whole, though they are so thinly scattered that they are usually overlooked and hard to extract. but whenever one of them is found valuable it is soon found available. a systematic search generally reveals it somewhere in sufficient quantity to be worked. who, then, will be the first to discover a use for indium, germanium, terbium, thulium, lanthanum, neodymium, scandium, samarium and others as unknown to us as tungsten was to our fathers? as evidence of the statement that it does not matter how rare an element may be it will come into common use if it is found to be commonly useful, we may refer to radium. a good rich specimen of radium ore, pitchblende, may contain as much, as one part in , , . madame curie, the brilliant polish parisian, had to work for years before she could prove to the world that such an element existed and for years afterwards before she could get the metal out. yet now we can all afford a bit of radium to light up our watch dials in the dark. the amount needed for this is infinitesimal. if it were more it would scorch our skins, for radium is an element in eruption. the atom throws off corpuscles at intervals as a roman candle throws off blazing balls. some of these particles, the alpha rays, are atoms of another element, helium, charged with positive electricity and are ejected with a velocity of , miles a second. some of them, the beta rays, are negative electrons, only about one seven-thousandth the size of the others, but are ejected with almost the speed of light, , miles a second. if one of the alpha projectiles strikes a slice of zinc sulfide it makes a splash of light big enough to be seen with a microscope, so we can now follow the flight of a single atom. the luminous watch dials consist of a coating of zinc sulfide under continual bombardment by the radium projectiles. sir william crookes invented this radium light apparatus and called it a "spinthariscope," which is greek for "spark-seer." evidently if radium is so wasteful of its substance it cannot last forever nor could it have forever existed. the elements then ate not necessarily eternal and immutable, as used to be supposed. they have a natural length of life; they are born and die and propagate, at least some of them do. radium, for instance, is the offspring of ionium, which is the great-great-grandson of uranium, the heaviest of known elements. putting this chemical genealogy into biblical language we might say: uranium lived , , , years and begot uranium x , which lived . days and begot uranium x , which lived seconds and begot uranium , which lived , , years and begot ionium, which lived , years and begot radium, which lived years and begot niton, which lived . days and begot radium a, which lived minutes and begot radium b, which lived . minutes and begot radium c, which lived . minutes and begot radium d, which lived years and begot radium e, which lived days and begot polonium, which lived days and begot lead. the figures i have given are the times when half the parent substance has gone over into the next generation. it will be seen that the chemist is even more liberal in his allowance of longevity than was moses with the patriarchs. it appears from the above that half of the radium in any given specimen will be transformed in about years. half of what is left will disappear in the next years, half of that in the next and so on. the reader can figure out for himself when it will all be gone. he will then have the answer to the old eleatic conundrum of when achilles will overtake the tortoise. but we may say that after , years there would not be left any radium worth mentioning, or in other words practically all the radium now in existence is younger than the human race. the lead that is found in uranium and has presumably descended from uranium, behaves like other lead but is lighter. its atomic weight is only , while ordinary lead weighs . it appears then that the same chemical element may have different atomic weights according to its ancestry, while on the other hand different chemical elements may have the same atomic weight. this would have seemed shocking heresy to the chemists of the last century, who prided themselves on the immutability of the elements and did not take into consideration their past life or heredity. the study of these radioactive elements has led to a new atomic theory. i suppose most of us in our youth used to imagine the atom as a little round hard ball, but now it is conceived as a sort of solar system with an electropositive nucleus acting as the sun and negative electrons revolving around it like the planets. the number of free positive electrons in the nucleus varies from one in hydrogen to in uranium. this leaves room for possible elements and of these all but six are more or less certainly known and definitely placed in the scheme. the atom of uranium, weighing times the atom of hydrogen, is the heaviest known and therefore the ultimate limit of the elements, though it is possible that elements may be found beyond it just as the planet neptune was discovered outside the orbit of uranus. considering the position of uranium and its numerous progeny as mentioned above, it is quite appropriate that this element should bear the name of the father of all the gods. in these radioactive elements we have come upon sources of energy such as was never dreamed of in our philosophy. the most striking peculiarity of radium is that it is always a little warmer than its surroundings, no matter how warm these may be. slowly, spontaneously and continuously, it decomposes and we know no way of hastening or of checking it. whether it is cooled in liquefied air or heated to its melting point the change goes on just the same. an ounce of radium salt will give out enough heat in one hour to melt an ounce of ice and in the next hour will raise this water to the boiling point, and so on again and again without cessation for years, a fire without fuel, a realization of the philosopher's lamp that the alchemists sought in vain. the total energy so emitted is millions of times greater than that produced by any chemical combination such as the union of oxygen and hydrogen to form water. from the heavy white salt there is continually rising a faint fire-mist like the will-o'-the-wisp over a swamp. this gas is known as the emanation or niton, "the shining one." a pound of niton would give off energy at the rate of , horsepower; fine stuff to run a steamer, one would think, but we must remember that it does not last. by the sixth day the power would have fallen off by half. besides, no one would dare to serve as engineer, for the radiation will rot away the flesh of a living man who comes near it, causing gnawing ulcers or curing them. it will not only break down the complex and delicate molecules of organic matter but will attack the atom itself, changing, it is believed, one element into another, again the fulfilment of a dream of the alchemists. and its rays, unseen and unfelt by us, are yet strong enough to penetrate an armorplate and photograph what is behind it. but radium is not the most mysterious of the elements but the least so. it is giving out the secret that the other elements have kept. it suggests to us that all the other elements in proportion to their weight have concealed within them similar stores of energy. astronomers have long dazzled our imaginations by calculating the horsepower of the world, making us feel cheap in talking about our steam engines and dynamos when a minutest fraction of the waste dynamic energy of the solar system would make us all as rich as millionaires. but the heavenly bodies are too big for us to utilize in this practical fashion. and now the chemists have become as exasperating as the astronomers, for they give us a glimpse of incalculable wealth in the meanest substance. for wealth is measured by the available energy of the world, and if a few ounces of anything would drive an engine or manufacture nitrogenous fertilizer from the air all our troubles would be over. kipling in his sketch, "with the night mail," and wells in his novel, "the world set free," stretched their imaginations in trying to tell us what it would mean to have command of this power, but they are a little hazy in their descriptions of the machinery by which it is utilized. the atom is as much beyond our reach as the moon. we cannot rob its vault of the treasure. reading references the foregoing pages will not have achieved their aim unless their readers have become sufficiently interested in the developments of industrial chemistry to desire to pursue the subject further in some of its branches. assuming such interest has been aroused, i am giving below a few references to books and articles which may serve to set the reader upon the right track for additional information. to follow the rapid progress of applied science it is necessary to read continuously such periodicals as the _journal of industrial and engineering chemistry_ (new york), _metallurgical and chemical engineering_ (new york), _journal of the society of chemical industry_ (london), _chemical abstracts_ (published by the american chemical society, easton, pa.), and the various journals devoted to special trades. the reader may need to be reminded that the united states government publishes for free distribution or at low price annual volumes or special reports dealing with science and industry. among these may be mentioned "yearbook of the department of agriculture"; "mineral resources of the united states," published by the united states geological survey in two annual volumes, vol. i on the metals and vol. ii on the non-metals; the "annual report of the smithsonian institution," containing selected articles on pure and applied science; the daily "commerce reports" and special bulletins of department of commerce. write for lists of publications of these departments. the following books on industrial chemistry in general are recommended for reading and reference: "the chemistry of commerce" and "some chemical problems of to-day" by robert kennedy duncan (harpers, n.y.), "modern chemistry and its wonders" by martin (van nostrand), "chemical discovery and invention in the twentieth century" by sir william a. tilden (dutton, n.y.), "discoveries and inventions of the twentieth century" by edward cressy (dutton), "industrial chemistry" by allen rogers (van nostrand). "everyman's chemistry" by ellwood hendrick (harpers, modern science series) is written in a lively style and assumes no previous knowledge of chemistry from the reader. the chapters on cellulose, gums, sugars and oils are particularly interesting. "chemistry of familiar things" by s.s. sadtler (lippincott) is both comprehensive and comprehensible. the following are intended for young readers but are not to be despised by their elders who may wish to start in on an easy up-grade: "chemistry of common things" (allyn & bacon, boston) is a popular high school text-book but differing from most text-books in being readable and attractive. its descriptions of industrial processes are brief but clear. the "achievements of chemical science" by james c. philip (macmillan) is a handy little book, easy reading for pupils. "introduction to the study of science" by w.p. smith and e.g. jewett (macmillan) touches upon chemical topics in a simple way. on the history of commerce and the effect of inventions on society the following titles may be suggested: "outlines of industrial history" by e. cressy (macmillan); "the origin of invention," a study of primitive industry, by o.t. mason (scribner); "the romance of commerce" by gordon selbridge (lane); "industrial and commercial geography" or "commerce and industry" by j. russell smith (holt); "handbook of commercial geography" by g.g. chisholm (longmans). the newer theories of chemistry and the constitution of the atom are explained in "the realities of modern science" by john mills (macmillan), and "the electron" by r.a. millikan (university of chicago press), but both require a knowledge of mathematics. the little book on "matter and energy" by frederick soddy (holt) is better adapted to the general reader. the most recent text-book is the "introduction to general chemistry" by h.n. mccoy and e.m. terry. (chicago, .) chapter ii the reader who may be interested in following up this subject will find references to all the literature in the summary by helen r. hosmer, of the research laboratory of the general electric company, in the _journal of industrial and engineering chemistry_, new york, for april, . bucher's paper may be found in the same journal for march, and the issue for september contains a full report of the action of u.s. government and a comparison of the various processes. send fifteen cents to the u.s. department of commerce (or to the nearest custom house) for bulletin no. , special agents series on "utilization of atmospheric nitrogen" by t.h. norton. the smithsonian institution of washington has issued a pamphlet on "sources of nitrogen compounds in the united states." in the report of the smithsonian institution there are two fine articles on this subject: "the manufacture of nitrates from the atmosphere" and "the distribution of mankind," which discusses sir william crookes' prediction of the exhaustion of wheat land. the d. van nostrand co., new york, publishes a monograph on "fixation of atmospheric nitrogen" by j. knox, also "tnt and other nitrotoluenes" by g.c. smith. the american cyanamid company, new york, gives out some attractive literature on their process. "american munitions - ," the report of benedict crowell, director of munitions, to the secretary of war, gives a fully illustrated account of the manufacture of arms, explosives and toxic gases. our war experience in the "oxidation of ammonia" is told by c.l. parsons in _journal of industrial and engineering chemistry_, june, , and various other articles on the government munition work appeared in the same journal in the first half of . "the muscle shoals nitrate plant" in _chemical and metallurgical engineering_, january, . chapter iii the department of agriculture or your congressman will send you literature on the production and use of fertilizers. from your state agricultural experiment station you can procure information as to local needs and products. consult the articles on potash salts and phosphate rock in the latest volume of "mineral resources of the united states," part ii non-metals (published free by the u.s. geological survey). also consult the latest yearbook of the department of agriculture. for self-instruction, problems and experiments get "extension course in soils," bulletin no. , u.s. dept. of agric. a list of all government publications on "soil and fertilizers" is sent free by superintendent of documents, washington. the _journal of industrial and engineering chemistry_ for july, , publishes an article by w.c. ebaugh on "potash and a world emergency," and various articles on american sources of potash appeared in the same _journal_ october, , and february, . bulletin , part , of the united states national museum contains an interpretation of the fertilizer situation in by j.e. poque. on new potash deposits in alsace and elsewhere see _scientific american supplement_, september , . chapter iv send ten cents to the department of commerce, washington, for "dyestuffs for american textile and other industries," by thomas h. norton, special agents' series, no. . a more technical bulletin by the same author is "artificial dyestuffs used in the united states," special agents' series, no. , thirty cents. "dyestuff situation in u.s.," special agents' series, no. , five cents. "coal-tar products," by h.g. porter, technical paper , bureau of mines, department of the interior, five cents. "wealth in waste," by waldemar kaempfert, _mcclure's_, april, . "the evolution of artificial dyestuffs," by thomas h. norton, _scientific american_, july , . "germany's commercial preparedness for peace," by james armstrong, _scientific american_, january , . "the conquest of commerce" and "american made," by edwin e. slosson in _the independent_ of september and october , . the h. koppers company, pittsburgh, give out an illustrated pamphlet on their "by-product coke and gas ovens." the addresses delivered during the war on "the aniline color, dyestuff and chemical conditions," by i.f. stone, president of the national aniline and chemical company, have been collected in a volume by the author. for "dyestuffs as medicinal agents" by g. heyl, see _color trade journal_, vol. , p. , . "the chemistry of synthetic drugs" by percy may, and "color in relation to chemical constitution" by e.r. watson are published in longmans' "monographs on industrial chemistry." "enemy property in the united states" by a. mitchell palmer in _saturday evening post_, july , , tells of how germany monopolized chemical industry. "the carbonization of coal" by v.b. lewis (van nostrand, ). "research in the tar dye industry" by b.c. hesse in _journal of industrial and engineering chemistry_, september, . kekulé tells how he discovered the constitution of benzene in the _berichte der deutschen chemischen gesellschaft_, v. xxiii, i, p. . i have quoted it with some other instances of dream discoveries in _the independent_ of jan. , . even this innocent scientific vision has not escaped the foul touch of the freudians. dr. alfred robitsek in "symbolisches denken in der chemischen forschung," _imago_, v. i, p. , has deduced from it that kekulé was morally guilty of the crime of oedipus as well as minor misdemeanors. chapter v read up on the methods of extracting perfumes from flowers in any encyclopedia or in duncan's "chemistry of commerce" or tilden's "chemical discovery in the twentieth century" or rogers' "industrial chemistry." the pamphlet containing a synopsis of the lectures by the late alois von isakovics on "synthetic perfumes and flavors," published by the synfleur scientific laboratories, monticello, new york, is immensely interesting. van dyk & co., new york, issue a pamphlet on the composition of oil of rose. gildemeister's "the volatile oils" is excellent on the history of the subject. walter's "manual for the essence industry" (wiley) gives methods and recipes. parry's "chemistry of essential oils and artificial perfumes," edition. "chemistry and odoriferous bodies since " by g. satie in _chemie et industrie_, vol. ii, p. , . "odor and chemical constitution," _chemical abstracts_, , p. and _journal of society for chemical industry_, v. , p. . chapter vi the bulletin on "by-products of the lumber industry" by h.k. benson (published by department of commerce, washington, cents) contains a description of paper-making and wood distillation. there is a good article on cellulose products by h.s. mork in _journal of the franklin institute_, september, , and in _paper_, september , . the government forest products laboratory at madison, wisconsin, publishes technical papers on distillation of wood, etc. the forest service of the u.s. department of agriculture is the chief source of information on forestry. the standard authority is cross and bevans' "cellulose." for the acetates see the eighth volume of worden's "technology of the cellulose esters." chapter vii the speeches made when hyatt was awarded the perkin medal by the american chemical society for the discovery of celluloid may be found in the _journal of the society of chemical industry_ for , p. . in baekeland received the same medal, and the proceedings are reported in the same _journal_, v. , p. . a comprehensive technical paper with bibliography on "synthetic resins" by l.v. redman appeared in the _journal of industrial and engineering chemistry_, january, . the controversy over patent rights may be followed in the same _journal_, v. ( ), p. , and v. ( ), p. . the "effects of heat on celluloid" have been examined by the bureau of standards, washington (technological paper no. ), abstract in _scientific american supplement_, june , . for casein see tague's article in rogers' "industrial chemistry" (van nostrand). see also worden's "nitrocellulose industry" and "technology of the cellulose esters" (van nostrand); hodgson's "celluloid" and cross and bevan's "cellulose." for references to recent research and new patent specifications on artificial plastics, resins, rubber, leather, wood, etc., see the current numbers of _chemical abstracts_ (easton, pa.) and such journals as the _india rubber journal, paper, textile world, leather world_ and _journal of american leather chemical association._ the general bakelite company, new york, the redmanol products company, chicago, the condensite company, bloomfield, n.j., the arlington company, new york (handling pyralin), give out advertising literature regarding their respective products. chapter viii sir william tilden's "chemical discovery and invention in the twentieth century" (e.p. dutton & co.) contains a readable chapter on rubber with references to his own discovery. the "wonder book of rubber," issued by the b.f. goodrich rubber company, akron, ohio, gives an interesting account of their industry. iles: "leading american inventors" (henry holt & co.) contains a life of goodyear, the discoverer of vulcanization. potts: "chemistry of the rubber industry, ." the rubber industry: report of the international rubber congress, . pond: "review of pioneer work in rubber synthesis" in _journal of the american chemical society_, . bang: "synthetic rubber" in _metallurgical and chemical engineering_, may , . castellan: "l'industrie caoutchoucière," doctor's thesis, university of paris, . the _india rubber world_, new york, all numbers, especially "what i saw in the philippines," by the editor, . pearson: "production of guayule rubber," _commerce reports_, , and _india rubber world_, . "historical sketch of chemistry of rubber" by s.c. bradford in _science progress_, v. ii, p. . chapter ix "the cane sugar industry" (bulletin no. , miscellaneous series, department of commerce, cents) gives agricultural and manufacturing costs in hawaii, porto rico, louisiana and cuba. "sugar and its value as food," by mary hinman abel. (farmer's bulletin no. , department of agriculture, free.) "production of sugar in the united states and foreign countries," by perry elliott. (department of agriculture, cents.) "conditions in the sugar market january to october, ," a pamphlet published by the american sugar refining company, wall street, new york, gives an admirable survey of the present situation as seen by the refiners. "cuban cane sugar," by robert wiles, (indianapolis: bobbs-merrill co., cents), an attractive little book in simple language. "the world's cane sugar industry, past and present," by h.c.p. geering. "the story of sugar," by prof. g.t. surface of yale (appleton, ). a very interesting and reliable book. the "digestibility of glucose" is discussed in _journal of industrial and engineering chemistry_, august, . "utilization of beet molasses" in _metallurgical and chemical engineering_, april , . chapter x "maize," by edward alber (bulletin of the pan-american union, january, ). "glucose," by geo. w. rolfe _(scientific american supplement_, may or november , , and in boger's "industrial chemistry"). on making ethyl alcohol from wood, see bulletin no. , special agents' series, department of commerce ( cents), and an article by f.w. kressmann in _metallurgical and chemical engineering_, july , . on the manufacture and uses of industrial alcohol the department of agriculture has issued for free distribution farmer's bulletin and , and department bulletin . on the "utilization of corn cobs," see _journal of industrial and engineering chemistry_, nov., . for john winthrop's experiment, see the same _journal_, jan., . chapter xi president scherer's "cotton as a world power" (stokes, ) is a fascinating volume that combines the history, science and politics of the plant and does not ignore the poetry and legend. in the yearbook of the department of agriculture for will be found an interesting article by h.s. bailey on "some american vegetable oils" (sold separate for five cents), also "the peanut: a great american food" by same author in the yearbook of . "the soy bean industry" is discussed in the same volume. see also: thompson's "cottonseed products and their competitors in northern europe" (part i, cake and meal; part ii, edible oils. department of commerce, cents each). "production and conservation of fats and oils in the united states" (bulletin no. , , u.s. dept. of agriculture). "cottonseed meal for feeding cattle" (u.s. department of agriculture, farmer's bulletin , free). "cottonseed industry in foreign countries," by t.h. norton, (department of commerce, cents). "cottonseed products" in _journal of the society of chemical industry_, july , , and baskerville's article in the same journal ( , vol. , p. ). dunstan's "oil seeds and feeding cakes," a volume on british problems since the war. ellis's "the hydrogenation of oils" (van nostrand, ). copeland's "the coconut" (macmillan). barrett's "the philippine coconut industry" (bulletin no. , philippine bureau of agriculture). "coconuts, the consols of the east" by smith and pope (london). "all about coconuts" by belfort and hoyer (london). numerous articles on copra and other oils appear in _u.s. commerce reports_ and _philippine journal of science_. "the world wide search for oils" in _the americas_ (national city bank, n.y.). "modern margarine technology" by w. clayton in _journal society of chemical industry_, dec. , ; also see _scientific_ _american supplement_, sept. , . a court decision on the patent rights of hydrogenation is given in _journal of industrial and engineering chemistry_ for december, . the standard work on the whole subject is lewkowitsch's "chemical technology of oils, fats and waxes" ( vols., macmillan, ). chapter xii a full account of the development of the american warfare service has been published in the _journal of industrial and engineering chemistry_ in the monthly issues from january to august, , and an article on the british service in the issue of april, . see also crowell's report on "america's munitions," published by war department. _scientific american_, march , , contains several articles. a. russell bond's "inventions of the great war" (century) contains chapters on poison gas and explosives. lieutenant colonel s.j.m. auld, chief gas officer of sir julian byng's army and a member of the british military mission to the united states, has published a volume on "gas and flame in modern warfare" (george h. doran co.). chapter xiii see chapter in cressy's "discoveries and inventions of twentieth century." "oxy-acetylene welders," bulletin no. , federal board of vocational education, washington, june, , gives practical directions for welding. _reactions_, a quarterly published by goldschmidt thermit company, n.y., reports latest achievements of aluminothermics. provost smith's "chemistry in america" (appleton) tells of the experiments of robert hare and other pioneers. "applications of electrolysis in chemical industry" by a.f. hall (longmans). for recent work on artificial diamonds see _scientific american supplement_, dec. , , and august , . on acetylene see "a storehouse of sleeping energy" by j.m. morehead in _scientific american_, january , . chapter xiv spring's "non-technical talks on iron and steel" (stokes) is a model of popular science writing, clear, comprehensive and abundantly illustrated. tilden's "chemical discovery in the twentieth century" must here again be referred to. the encyclopedia britannica is convenient for reference on the various metals mentioned; see the article on "lighting" for the welsbach burner. the annual "mineral resources of the united states, part i," contains articles on the newer metals by frank w. hess; see "tungsten" in the volume for , also bulletin no. , u.s. geological survey, by same author. _foote-notes_, the house organ of the foote mineral company, philadelphia, gives information on the rare elements. interesting advertising literature may be obtained from the titantium alloy manufacturing company, niagara falls, n.y.; duriron castings company, dayton, o.; buffalo foundry and machine company, buffalo, n.y., manufacturers of "buflokast" acid-proof apparatus, and similar concerns. the following additional references may be useful: stellite alloys in _jour. ind. & eng. chem._, v. , p. ; rossi's work on titantium in same journal, feb., ; welsbach mantles in _journal franklin institute_, v. , p. , ; pure alloys in _trans. amer. electro-chemical society_, v. , p. ; molybdenum in _engineering_, , or _scientific american supplement_, oct. , ; acid-resisting iron in _sc. amer. sup._, may , ; ferro-alloys in _jour. ind. & eng. chem._, v. , p. ; influence of vanadium, etc., on iron, in _met. chem. eng._, v. , p. ; tungsten in _engineering_, v. , p. . index abrasives, - acetanilid, acetone, , , , acetylene, , , - , , , acheson, air, liquefied, alcohol, ethyl, , , , , - , - , methyl, , , , aluminum, , - , , , ammonia, , , , , , , american dye industry, aniline dyes, - antiseptics, , argon, art and nature, , , , artificial silk, , , aspirin, atomic theory, - , aylesworth, baekeland, baeyer, adolf von, bakelite, , balata, bauxite, beet sugar, , , benzene formula, , , berkeley, berthelot, , birkeland-eyde process, bucher process, butter, , calcium, , calcium carbide, , camphor, , cane sugar, , , , , carbolic acid, , , , , , carborundum, - caro and frank process, casein, castner, catalyst, , celluloid, - , cellulose, - , , , cellulose acetate, , , cerium, - chemical warfare, - , chlorin, , , chlorophyll, chlorpicrin, , chromicum, , coal, distillation of, , , , , coal tar colors, - cochineal, coconut oil, , - , collodion, , , cologne, eau de, copra, , - , corn oil, , cotton, , , , cocain, condensite, cordite, , corn products, - , coslett process, cottonseed oil, cowles, creative chemistry, crookes, sir william, , curie, madame, cyanamid, , , cyanides, diamond, - , doyle, sir arthur conan, drugs, synthetic, , , duisberg, dyestuffs, - edison, , ehrlich, , electric furnace, - , fats, - , fertilizers, , , , , flavors, synthetic, - food, synthetic, formaldehyde, , fruit flavors, synthetic, , galalith, gas masks, , , , gerhardt, , glucose, , - , , glycerin, , goldschmidt, goodyear, graphite, guayule, , guncotton, , , , gunpowder, , , , gutta percha, haber process, , hall, c.h., hare, robert, , , harries, helium, hesse, , , hofmann, , huxley, hyatt, , , hydrogen, - hydrogenation of oils, - , indigo, , iron, , , - , isoprene, , , , , kelp products, , kekulé's dream, , lard substitutes, lavoisier, leather substitutes, leucite, liebig, linseed oil, , , magnesium, maize products, - , manganese, margarin, - , mauve, discovery of, mendeléef, , mercerized cotton, moissan, molybdenum, , munition manufacture in u.s., , , , mushet, musk, synthetic, , , mustard gas, , - naphthalene, , , nature and art, - , , , nitrates, chilean, , , , nitric acid derivatives, nitrocellulose, , nitrogen, in explosives, , , , fixation, , , , nitro-glycerin, , , nobel, , oils, - , oleomargarin, - , orange blossoms, , osmium, ostwald, , oxy-hydrogen blowpipe, paper, , parker process, peanut oil, , , , perfumery, art of, - perfumes, synthetic, - , perkin, w.h., perkin, sir william, , , pharmaceutical chemistry, , - phenol, , , , , , phonograph records, , phosphates, - phosgene, , photographic developers, picric acid, , , , platinum, , , , , plastics, synthetic, - pneumatic tires, poisonous gases in warfare, - , potash, , - , priestley, , purple, royal, , pyralin, , pyrophoric alloys, pyroxylin, , , , radium, , rare earths, - , redmanol, remsen, ira, refractories, - resins, synthetic, - rose perfume, , , , , rubber, natural, - , synthetic, , - , rumford, count, rust, protection from, - saccharin, , salicylic acid, , saltpeter, chilean, , , , schoop process, serpek process, silicon, , smell, sense of, , , , smith, provost, , , smokeless powder, sodium, , , soil chemistry, , soy bean, , , , starch, , , , stassfort salts, , , stellites, , sugar, - , sulfuric acid, tantalum, terpenes, , textile industry, , , , thermit, thermodynamics, second law of, three periods of progress, tin plating, tilden, , titanium, , tnt, , , , trinitrotoluol, , , , tropics, value of, , , , , , , tungsten, , , , uranium, vanadium, , , vanillin, violet perfume, viscose, vitamines, vulcanization, welding, welsbach burner, - , wheat problem, , wood, distillation of, , wood pulp, , , ypres, use of gases at, zinc plating, _once a slosson reader_ _always a slosson fan_ just published chats on science by e.e. slosson author of "creative chemistry," etc. dr. slosson is nothing short of a prodigy. he is a triple-starred scientist man who can bring down the highest flying scientific fact and tame it so that any of us can live with it and sometimes even love it. he can make a fairy tale out of coal-tar dyes and a laboratory into a joyful playhouse while it continues functioning gloriously as a laboratory. but to readers of "creative chemistry" it is wasting time to talk about dr. slosson's style. "chats on science," which has just been published, is made up of eighty-five brief chapters or sections or periods, each complete in itself, dealing with a gorgeous variety of subjects. they go from popover stars to soda water, from how old is disease to einstein in words of one syllable. the reader can begin anywhere, but when he begins he will ultimately read the entire series. it is good science and good reading. it contains some of the best writing dr. slosson has ever done. the boston transcript says: "these 'chats' are even more fascinating, were that possible, than 'creative chemistry.' they are more marvelous than the most marvelous of fairy tales ... even an adequate review could give little idea of the treasures of modern scientific knowledge 'chats on science' contains ... dr. slosson has, besides rare scientific knowledge, that gift of the gods--imagination." * * * * * ("chats on science" by e.e. slosson is published by the century company, fourth avenue, new york city. it is sold for $ . at all bookstores, or it may be ordered from the publisher.) footnotes: [ ] i am quoting mostly unstead's figures from the _geographical journal_ of . see also dickson's "the distribution of mankind," in smithsonian report, . [ ] united states abstract of census of manufactures, , p. . [ ] united states department of agriculture, bulletin no. . note: project gutenberg also has an html version of this file which includes the original illustrations. see -h.htm or -h.zip: (http://www.gutenberg.net/dirs/ / / / / / -h/ -h.htm) or (http://www.gutenberg.net/dirs/ / / / / / -h.zip) the story of alchemy and the beginnings of chemistry by m. m. pattison muir, m.a. fellow and formerly prælector in chemistry of gonville and caius college, cambridge with eighteen illustrations new and enlarged edition hodder and stoughton london, new york, toronto [illustration: an alchemical laboratory] "it is neither religious nor wise to judge that of which you know nothing." _a brief guide to the celestial ruby_, by philalethes ( th century) * * * * * the useful knowledge series cloth, one shilling net each list of the first thirty-four volumes issued in the new style with pictorial wrappers:-- wireless telegraphy. by alfred t. story. a piece of coal. by k.a. martin, f.g.s. architecture. by p.l. waterhouse. the cotton plant. by f. wilkinson, f.g.s. plant life. by grant allen. wild flowers. by rev. prof. g. henslow, f.l.s., f.g.s. the solar system. by g.f. chambers, f.r.a.s. eclipses. by g.f. chambers, f.r.a.s. the stars. by g.f.chambers, f.r.a.s. the weather. by g.f. chambers, f.r.a.s. animal life. by b. lindsay. geographical discovery. by joseph jacobs. the atmosphere. by douglas archibald, m.a. alpine climbing. by francis gribble forest and stream. by james rodway, f.l.s. fish life. by w.p. pycraft, f.z.s. bird life. by w.p. pycraft, f.z.s. primitive man. by edward clodd. ancient egypt. by robinson souttar, m.a., d.c.l. story of locomotion. by beckles willson. the earth in past ages. by h.g. seeley, f.r.s. the empire. by e. salmon. king alfred. by sir walter besant. lost england. by beckles willson. alchemy, or the beginnings of chemistry. by m.m. pattison muir, m.a. the chemical elements. by m.m. pattison muir, m.a. the wanderings of atoms. by m.m. pattison muir, m.a. germ life: bacteria. by h.w. conn. life in the seas. by sidney j. hickson f.r.s. life's mechanism. by h.w. conn. reptile life. by w.p. pycraft, f.z.s. the grain of wheat. by william c. edgar. the potter. by c.f. binns. * * * * * preface. the story of alchemy and the beginnings of chemistry is very interesting in itself. it is also a pregnant example of the contrast between the scientific and the emotional methods of regarding nature; and it admirably illustrates the differences between well-grounded, suggestive, hypotheses, and baseless speculations. i have tried to tell the story so that it may be intelligible to the ordinary reader. m.m. pattison muir. cambridge, november . * * * * * note to new edition. a few small changes have been made. the last chapter has been re-written and considerably enlarged. m.m.p.m. farnham, september . * * * * * contents. chapter i. the explanation of material changes given by greek thinkers ii. a sketch of alchemical theory iii. the alchemical notion of the unity and simplicity of nature iv. the alchemical elements and principles v. the alchemical essence vi. alchemy as an experimental art vii. the language of alchemy viii. the degeneracy of alchemy ix. paracelsus, and some other alchemists x. summary of the alchemical doctrine--the replacement of the three principles of the alchemists by the single principle of phlogiston xi. the examination of the phenomena of combustion xii. the recognition of chemical changes as the interactions of definite substances xiii. the chemical elements contrasted with the alchemical principles xiv. the modern form of the alchemical quest of the one thing index list of illustrations fig. an alchemical laboratory (frontispiece) . the mortification of metals presented by the image of a king devouring his son and . the mortification of metals presented by images of death and burial and . two must be conjoined to produce one . hermetically sealing the neck of a glass vessel . sealing by means of a mercury trap . an alchemical common cold still . a _balneum mariÆ_ . alchemical distilling apparatus . a pelican . an alchemist with a retort . an alchemist preparing oil of vitriol . alchemical apparatus for rectifying spirits . purifying gold presented by the image of a salamander in the fire . priestley's apparatus for working with gases . apparatus used by lavoisier in his experiments on burning mercury in air chapter i the explanation of material changes given by the greek thinkers. for thousands of years before men had any accurate and exact knowledge of the changes of material things, they had thought about these changes, regarded them as revelations of spiritual truths, built on them theories of things in heaven and earth (and a good many things in neither), and used them in manufactures, arts, and handicrafts, especially in one very curious manufacture wherein not the thousandth fragment of a grain of the finished article was ever produced. the accurate and systematic study of the changes which material things undergo is called chemistry; we may, perhaps, describe alchemy as the superficial, and what may be called subjective, examination of these changes, and the speculative systems, and imaginary arts and manufactures, founded on that examination. we are assured by many old writers that adam was the first alchemist, and we are told by one of the initiated that adam was created on the sixth day, being the th of march, of the first year of the world; certainly alchemy had a long life, for chemistry did not begin until about the middle of the th century. no branch of science has had so long a period of incubation as chemistry. there must be some extraordinary difficulty in the way of disentangling the steps of those changes wherein substances of one kind are produced from substances totally unlike them. to inquire how those of acute intellects and much learning regarded such occurrences in the times when man's outlook on the world was very different from what it is now, ought to be interesting, and the results of that inquiry must surely be instructive. if the reader turns to a modern book on chemistry (for instance, _the story of the chemical elements_, in this series), he will find, at first, superficial descriptions of special instances of those occurrences which are the subject of the chemist's study; he will learn that only certain parts of such events are dealt with in chemistry; more accurate descriptions will then be given of changes which occur in nature, or can be produced by altering the ordinary conditions, and the reader will be taught to see certain points of likeness between these changes; he will be shown how to disentangle chemical occurrences, to find their similarities and differences; and, gradually, he will feel his way to general statements, which are more or less rigorous and accurate expressions of what holds good in a large number of chemical processes; finally, he will discover that some generalisations have been made which are exact and completely accurate descriptions applicable to every case of chemical change. but if we turn to the writings of the alchemists, we are in a different world. there is nothing even remotely resembling what one finds in a modern book on chemistry. here are a few quotations from alchemical writings [ ]: [ ] most of the quotations from alchemical writings, in this book, are taken from a series of translations, published in - , under the supervision of mr a.e. waite. "it is necessary to deprive matter of its qualities in order to draw out its soul.... copper is like a man; it has a soul and a body ... the soul is the most subtile part ... that is to say, the tinctorial spirit. the body is the ponderable, material, terrestrial thing, endowed with a shadow.... after a series of suitable treatments copper becomes without shadow and better than gold.... the elements grow and are transmuted, because it is their qualities, not their substances which are contrary." (stephanus of alexandria, about a.d.) "if we would elicit our medecine from the precious metals, we must destroy the particular metalic form, without impairing its specific properties. the specific properties of the metal have their abode in its spiritual part, which resides in homogeneous water. thus we must destroy the particular form of gold, and change it into its generic homogeneous water, in which the spirit of gold is preserved; this spirit afterwards restores the consistency of its water, and brings forth a new form (after the necessary putrefaction) a thousand times more perfect than the form of gold which it lost by being reincrudated." (philalethes, th century.) "the bodily nature of things is a concealing outward vesture." (michael sendivogius, th century.) "nothing of true value is located in the body of a substance, but in the virtue ... the less there is of body, the more in proportion is the virtue." (paracelsus, th century.) "there are four elements, and each has at its centre another element which makes it what it is. these are the four pillars of the world.... it is their contrary action which keeps up the harmony and equilibrium of the mundane machinery." (michael sendivogius.) "nature cannot work till it has been supplied with a material: the first matter is furnished by god, the second matter by the sage." (michael sendivogius.) "when corruptible elements are united in a certain substance, their strife must sooner or later bring about its decomposition, which is, of course, followed by putrefaction; in putrefaction, the impure is separated from the pure; and if the pure elements are then once more joined together by the action of natural heat, a much nobler and higher form of life is produced.... if the hidden central fire, which during life was in a state of passivity, obtain the mastery, it attracts to itself all the pure elements, which are thus separated from the impure, and form the nucleus of a far purer form of life." (michael sendivogius.) "cause that which is above to be below; that which is visible to be invisible; that which is palpable to become impalpable. again let that which is below become that which is above; let the invisible become visible, and the impalpable become palpable. here you see the perfection of our art, without any defect or diminution." (basil valentine, th century.) "think most diligently about this; often bear in mind, observe and comprehend, that all minerals and metals together, in the same time, and after the same fashion, and of one and the same principal matter, are produced and generated. that matter is no other than a mere vapour, which is extracted from the elementary earth by the superior stars, or by a sidereal distillation of the macrocosm; which sidereal hot infusion, with an airy sulphurous property, descending upon inferiors, so acts and operates as that there is implanted, spiritually and invisibly, a certain power and virtue in those metals and minerals; which fume, moreover, resolves in the earth into a certain water, wherefrom all metals are thenceforth generated and ripened to their perfection, and thence proceeds this or that metal or mineral, according as one of the three principles acquires dominion, and they have much or little of sulphur and salt, or an unequal mixture of these; whence some metals are fixed--that is, constant or stable; and some are volatile and easily changeable, as is seen in gold, silver, copper, iron, tin, and lead." (basil valentine.) "to grasp the invisible elements, to attract them by their material correspondences, to control, purify, and transform them by the living power of the spirit--this is true alchemy." (paracelsus.) "destruction perfects that which is good; for the good cannot appear on account of that which conceals it.... each one of the visible metals is a concealment of the other six metals." (paracelsus.) these sayings read like sentences in a forgotten tongue. humboldt tells of a parrot which had lived with a tribe of american indians, and learnt scraps of their language; the tribe totally disappeared; the parrot alone remained, and babbled words in the language which no living human being could understand. are the words i have quoted unintelligible, like the parrot's prating? perhaps the language may be reconstructed; perhaps it may be found to embody something worth a hearing. success is most likely to come by considering the growth of alchemy; by trying to find the ideas which were expressed in the strange tongue; by endeavouring to look at our surroundings as the alchemists looked at theirs. do what we will, we always, more or less, construct our own universe. the history of science may be described as the history of the attempts, and the failures, of men "to see things as they are." "nothing is harder," said the latin poet lucretius, "than to separate manifest facts from doubtful, what straightway the mind adds on of itself." observations of the changes which are constantly happening in the sky, and on the earth, must have prompted men long ago to ask whether there are any limits to the changes of things around them. and this question must have become more urgent as working in metals, making colours and dyes, preparing new kinds of food and drink, producing substances with smells and tastes unlike those of familiar objects, and other pursuits like these, made men acquainted with transformations which seemed to penetrate to the very foundations of things. can one thing be changed into any other thing; or, are there classes of things within each of which change is possible, while the passage from one class to another is not possible? are all the varied substances seen, tasted, handled, smelt, composed of a limited number of essentially different things; or, is each fundamentally different from every other substance? such questions as these must have pressed for answers long ago. some of the greek philosophers who lived four or five hundred years before christ formed a theory of the transformations of matter, which is essentially the theory held by naturalists to-day. these philosophers taught that to understand nature we must get beneath the superficial qualities of things. "according to convention," said democritus (born b.c.), "there are a sweet and a bitter, a hot and a cold, and according to convention there is colour. in truth there are atoms and a void." those investigators attempted to connect all the differences which are observed between the qualities of things with differences of size, shape, position, and movement of atoms. they said that all things are formed by the coalescence of certain unchangeable, indestructible, and impenetrable particles which they named atoms; the total number of atoms is constant; not one of them can be destroyed, nor can one be created; when a substance ceases to exist and another is formed, the process is not a destruction of matter, it is a re-arrangement of atoms. only fragments of the writings of the founders of the atomic theory have come to us. the views of these philosophers are preserved, and doubtless amplified and modified, in a latin poem, _concerning the nature of things_, written by lucretius, who was born a century before the beginning of our era. let us consider the picture given in that poem of the material universe, and the method whereby the picture was produced.[ ] [ ] the quotations from lucretius are taken from munro's translation ( th edition, ). all knowledge, said lucretius, is based on "the aspect and the law of nature." true knowledge can be obtained only by the use of the senses; there is no other method. "from the senses first has proceeded the knowledge of the true, and the senses cannot be refuted. shall reason, founded on false sense, be able to contradict [the senses], wholly founded as it is on the senses? and if they are not true, then all reason as well is rendered false." the first principle in nature is asserted by lucretius to be that "nothing is ever gotten out of nothing." "a thing never returns to nothing, but all things after disruption go back to the first bodies of matter." if there were not imperishable seeds of things, atoms, "first-beginnings of solid singleness," then, lucretius urges, "infinite time gone by and lapse of days must have eaten up all things that are of mortal body." the first-beginnings, or atoms, of things were thought of by lucretius as always moving; "there is no lowest point in the sum of the universe" where they can rest; they meet, clash, rebound, or sometimes join together into groups of atoms which move about as wholes. change, growth, decay, formation, disruption--these are the marks of all things. "the war of first-beginnings waged from eternity is carried on with dubious issue: now here, now there, the life-bringing elements of things get the mastery, and are o'ermastered in turn; with the funeral wail blends the cry which babies raise when they enter the borders of light; and no night ever followed day, nor morning night, that heard not, mingling with the sickly infant's cries, the attendants' wailings on death and black funeral." lucretius pictured the atoms of things as like the things perceived by the senses; he said that atoms of different kinds have different shapes, but the number of shapes is finite, because there is a limit to the number of different things we see, smell, taste, and handle; he implies, although i do not think he definitely asserts, that all atoms of one kind are identical in every respect. we now know that many compounds exist which are formed by the union of the same quantities by weight of the same elements, and, nevertheless, differ in properties; modern chemistry explains this fact by saying that the properties of a substance depend, not only on the kind of atoms which compose the minute particles of a compound, and the number of atoms of each kind, but also on the mode of arrangement of the atoms.[ ] the same doctrine was taught by lucretius, two thousand years ago. "it often makes a great difference," he said, "with what things, and in what positions the same first-beginnings are held in union, and what motions they mutually impart and receive." for instance, certain atoms may be so arranged at one time as to produce fire, and, at another time, the arrangement of the same atoms may be such that the result is a fir-tree. the differences between the colours of things are said by lucretius to be due to differences in the arrangements and motions of atoms. as the colour of the sea when wind lashes it into foam is different from the colour when the waters are at rest, so do the colours of things change when the atoms whereof the things are composed change from one arrangement to another, or from sluggish movements to rapid and tumultuous motions. [ ] see the chapter _molecular architecture_ in the _story of the chemical elements_. lucretius pictured a solid substance as a vast number of atoms squeezed closely together, a liquid as composed of not so many atoms less tightly packed, and a gas as a comparatively small number of atoms with considerable freedom of motion. essentially the same picture is presented by the molecular theory of to-day. to meet the objection that atoms are invisible, and therefore cannot exist, lucretius enumerates many things we cannot see although we know they exist. no one doubts the existence of winds, heat, cold and smells; yet no one has seen the wind, or heat, or cold, or a smell. clothes become moist when hung near the sea, and dry when spread in the sunshine; but no one has seen the moisture entering or leaving the clothes. a pavement trodden by many feet is worn away; but the minute particles are removed without our eyes being able to see them. another objector urges--"you say the atoms are always moving, yet the things we look at, which you assert to be vast numbers of moving atoms, are often motionless." him lucretius answers by an analogy. "and herein you need not wonder at this, that though the first-beginnings of things are all in motion, yet the sum is seen to rest in supreme repose, unless when a thing exhibits motions with its individual body. for all the nature of first things lies far away from our senses, beneath their ken; and, therefore, since they are themselves beyond what you can see, they must withdraw from sight their motion as well; and the more so, that the things which we can see do yet often conceal their motions when a great distance off. thus, often, the woolly flocks as they crop the glad pastures on a hill, creep on whither the grass, jewelled with fresh dew, summons or invites each, and the lambs, fed to the full, gambol and playfully butt; all which objects appear to us from a distance to be blended together, and to rest like a white spot on a green hill. again, when mighty legions fill with their movements all parts of the plains, waging the mimicry of war, the glitter lifts itself up to the sky, and the whole earth round gleams with brass, and beneath a noise is raised by the mighty tramplings of men, and the mountains, stricken by the shouting, echo the voices to the stars of heaven, and horsemen fly about, and suddenly wheeling, scour across the middle of the plains, shaking them with the vehemence of their charge. and yet there is some spot on the high hills, seen from which they appear to stand still and to rest on the plains as a bright spot." the atomic theory of the greek thinkers was constructed by reasoning on natural phenomena. lucretius constantly appeals to observed facts for confirmation of his theoretical teachings, or refutation of opinions he thought erroneous. besides giving a general mental presentation of the material universe, the theory was applied to many specific transmutations; but minute descriptions of what are now called chemical changes could not be given in terms of the theory, because no searching examination of so much as one such change had been made, nor, i think, one may say, could be made under the conditions of greek life. more than two thousand years passed before investigators began to make accurate measurements of the quantities of the substances which take part in those changes wherein certain things seem to be destroyed and other totally different things to be produced; until accurate knowledge had been obtained of the quantities of the definite substances which interact in the transformations of matter, the atomic theory could not do more than draw the outlines of a picture of material changes. a scientific theory has been described as "the likening of our imaginings to what we actually observe." so long as we observe only in the rough, only in a broad and general way, our imaginings must also be rough, broad, and general. it was the great glory of the greek thinkers about natural events that their observations were accurate, on the whole, and as far as they went, and the theory they formed was based on no trivial or accidental features of the facts, but on what has proved to be the very essence of the phenomena they sought to bring into one point of view; for all the advances made in our own times in clear knowledge of the transformations of matter have been made by using, as a guide to experimental inquiries, the conception that the differences between the qualities of substances are connected with differences in the weights and movements of minute particles; and this was the central idea of the atomic theory of the greek philosophers. the atomic theory was used by the great physicists of the later renaissance, by galileo, gassendi, newton and others. our own countryman, john dalton, while trying (in the early years of the th century) to form a mental presentation of the atmosphere in terms of the theory of atoms, rediscovered the possibility of differences between the sizes of atoms, applied this idea to the facts concerning the quantitative compositions of compounds which had been established by others, developed a method for determining the relative weights of atoms of different kinds, and started chemistry on the course which it has followed so successfully. instead of blaming the greek philosophers for lack of quantitatively accurate experimental inquiry, we should rather be full of admiring wonder at the extraordinary acuteness of their mental vision, and the soundness of their scientific spirit. the ancient atomists distinguished the essential properties of things from their accidental features. the former cannot be removed, lucretius said, without "utter destruction accompanying the severance"; the latter may be altered "while the nature of the thing remains unharmed." as examples of essential properties, lucretius mentions "the weight of a stone, the heat of fire, the fluidity of water." such things as liberty, war, slavery, riches, poverty, and the like, were accounted accidents. time also was said to be an accident: it "exists not by itself; but simply from the things which happen, the sense apprehends what has been done in time past, as well as what is present, and what is to follow after." as our story proceeds, we shall see that the chemists of the middle ages, the alchemists, founded their theory of material changes on the difference between a supposed essential substratum of things, and their qualities which could be taken off, they said, and put on, as clothes are removed and replaced. how different from the clear, harmonious, orderly, greek scheme, is any picture we can form, from such quotations as i have given from their writings, of the alchemists' conception of the world. the greeks likened their imaginings of nature to the natural facts they observed; the alchemists created an imaginary world after their own likeness. while christianity was superseding the old religions, and the theological system of the christian church was replacing the cosmogonies of the heathen, the contrast between the power of evil and the power of good was more fully realised than in the days of the greeks; a sharper division was drawn between this world and another world, and that other world was divided into two irreconcilable and absolutely opposite parts. man came to be regarded as the centre of a tremendous and never-ceasing battle, urged between the powers of good and the powers of evil. the sights and sounds of nature were regarded as the vestments, or the voices, of the unseen combatants. life was at once very real and the mere shadow of a dream. the conditions were favourable to the growth of magic; for man was regarded as the measure of the universe, the central figure in an awful tragedy. magic is an attempt, by thinking and speculating about what we consider must be the order of nature, to discover some means of penetrating into the secret life of natural things, of realising the hidden powers and virtues of things, grasping the concealed thread of unity which is supposed to run through all phenomena however seemingly diverse, entering into sympathy with the supposed inner oneness of life, death, the present, past, and future. magic grows, and gathers strength, when men are sure their theory of the universe must be the one true theory, and they see only through the glasses which their theory supplies. "he who knows himself thoroughly knows god and all the mysteries of his nature," says a modern writer on magic. that saying expresses the fundamental hypothesis, and the method, of all systems of magic and mysticism. of such systems, alchemy was one. chapter ii. a sketch of alchemical theory. the system which began to be called _alchemy_ in the th and th centuries of our era had no special name before that time, but was known as _the sacred art, the divine science, the occult science, the art of hermes_. a commentator on aristotle, writing in the th century a.d., calls certain instruments used for fusion and calcination "_chuika organa_," that is, instruments for melting and pouring. hence, probably, came the adjective _chyic_ or _chymic_, and, at a somewhat later time, the word _chemia_ as the name of that art which deals with calcinations, fusions, meltings, and the like. the writer of a treatise on astrology, in the th century, speaking of the influences of the stars on the dispositions of man, says: "if a man is born under mercury he will give himself to astronomy; if mars, he will follow the profession of arms; if saturn, he will devote himself to the science of alchemy (_scientia alchemiae_)." the word _alchemia_ which appears in this treatise, was formed by prefixing the arabic _al_ (meaning _the_) to _chemia_, a word, as we have seen, of greek origin. it is the growth, development, and transformation into chemistry, of this _alchemia_ which we have to consider. alchemy, that is, _the_ art of melting, pouring, and transforming, must necessarily pay much attention to working with crucibles, furnaces, alembics, and other vessels wherein things are fused, distilled, calcined, and dissolved. the old drawings of alchemical operations show us men busy calcining, cohobating, distilling, dissolving, digesting, and performing other processes of like character to these. the alchemists could not be accused of laziness or aversion to work in their laboratories. paracelsus ( th century) says of them: "they are not given to idleness, nor go in a proud habit, or plush and velvet garments, often showing their rings on their fingers, or wearing swords with silver hilts by their sides, or fine and gay gloves on their hands; but diligently follow their labours, sweating whole days and nights by their furnaces. they do not spend their time abroad for recreation, but take delight in their laboratories. they put their fingers among coals, into clay and filth, not into gold rings. they are sooty and black, like smiths and miners, and do not pride themselves upon clean and beautiful faces." in these respects the chemist of to-day faithfully follows the practice of the alchemists who were his predecessors. you can nose a chemist in a crowd by the smell of the laboratory which hangs about him; you can pick him out by the stains on his hands and clothes. he also "takes delight in his laboratory"; he does not always "pride himself on a clean and beautiful face"; he "sweats whole days and nights by his furnace." why does the chemist toil so eagerly? why did the alchemists so untiringly pursue their quest? i think it is not unfair to say: the chemist experiments in order that he "may liken his imaginings to the facts which he observes"; the alchemist toiled that he might liken the facts which he observed to his imaginings. the difference may be put in another way by saying: the chemist's object is to discover "how changes happen in combinations of the unchanging"; the alchemist's endeavour was to prove the truth of his fundamental assertion, "that every substance contains undeveloped resources and potentialities, and can be brought outward and forward into perfection." looking around him, and observing the changes of things, the alchemist was deeply impressed by the growth and modification of plants and animals; he argued that minerals and metals also grow, change, develop. he said in effect: "nature is one, there must be unity in all the diversity i see. when a grain of corn falls into the earth it dies, but this dying is the first step towards a new life; the dead seed is changed into the living plant. so it must be with all other things in nature: the mineral, or the metal, seems dead when it is buried in the earth, but, in reality, it is growing, changing, and becoming more perfect." the perfection of the seed is the plant. what is the perfection of the common metals? "evidently," the alchemist replied, "the perfect metal is gold; the common metals are trying to become gold." "gold is the intention of nature in regard to all metals," said an alchemical writer. plants are preserved by the preservation of their seed. "in like manner," the alchemist's argument proceeded, "there must be a seed in metals which is their essence; if i can separate the seed and bring it under the proper conditions, i can cause it to grow into the perfect metal." "animal life, and human life also," we may suppose the alchemist saying, "are continued by the same method as that whereby the life of plants is continued; all life springs from seed; the seed is fructified by the union of the male and the female; in metals also there must be the two characters; the union of these is needed for the production of new metals; the conjoining of metals must go before the birth of the perfect metal." "now," we may suppose the argument to proceed, "now, the passage from the imperfect to the more perfect is not easy. it is harder to practise virtue than to acquiesce in vice; virtue comes not naturally to man; that he may gain the higher life, he must be helped by grace. therefore, the task of exalting the purer metals into the perfect gold, of developing the lower order into the higher, is not easy. if nature does this, she does it slowly and painfully; if the exaltation of the common metals to a higher plane is to be effected rapidly, it can be done only by the help of man." so far as i can judge from their writings, the argument of the alchemists may be rendered by some such form as the foregoing. a careful examination of the alchemical argument shows that it rests on a (supposed) intimate knowledge of nature's plan of working, and the certainty that simplicity is the essential mark of that plan. that the alchemists were satisfied of the great simplicity of nature, and their own knowledge of the ways of nature's work, is apparent from their writings. the author of _the new chemical light_ ( th century) says: "simplicity is the seal of truth.... nature is wonderfully simple, and the characteristic mark of a childlike simplicity is stamped upon all that is true and noble in nature." in another place the same author says: "nature is one, true, simple, self-contained, created of god, and informed with a certain universal spirit." the same author, michael sendivogius, remarks: "it may be asked how i come to have this knowledge about heavenly things which are far removed beyond human ken. my answer is that the sages have been taught by god that this natural world is only an image and material copy of a heavenly and spiritual pattern; that the very existence of this world is based upon the reality of its heavenly archetype.... thus the sage sees heaven reflected in nature as in a mirror, and he pursues this art, not for the sake of gold or silver, but for the love of the knowledge which it reveals." the _only true way_ advises all who wish to become true alchemists to leave the circuitous paths of pretended philosophers, and to follow nature, which is simple; the complicated processes described in books are said to be the traps laid by the "cunning sophists" to catch the unwary. in _a catechism of alchemy_, paracelsus asks: "what road should the philosopher follow?" he answers, "that exactly which was followed by the great architect of the universe in the creation of the world." one might suppose it would be easier, and perhaps more profitable, to examine, observe, and experiment, than to turn one's eyes inwards with the hope of discovering exactly "the road followed by the great architect of the universe in the creation of the world." but the alchemical method found it easier to begin by introspection. the alchemist spun his universe from his own ideas of order, symmetry, and simplicity, as the spider spins her web from her own substance. a favourite saying of the alchemists was, "what is above is as what is below." in one of its aspects this saying meant, "processes happen within the earth like those which occur on the earth; minerals and metals live, as animals and plants live; all pass through corruption towards perfection." in another aspect the saying meant "the human being is the world in miniature; as is the microcosm, so is the macrocosm; to know oneself is to know all the world." every man knows he ought to try to rise to better things, and many men endeavour to do what they know they ought to do; therefore, he who feels sure that all nature is fashioned after the image of man, projects his own ideas of progress, development, virtue, matter and spirit, on to nature outside himself; and, as a matter of course, this kind of naturalist uses the same language when he is speaking of the changes of material things as he employs to express the changes of his mental states, his hopes, fears, aspirations, and struggles. the language of the alchemists was, therefore, rich in such expressions as these; "the elements are to be so conjoined that the nobler and fuller life may be produced"; "our arcanum is gold exalted to the highest degree of perfection to which the combined action of nature and art can develop it." such commingling of ethical and physical ideas, such application of moral conceptions to material phenomena, was characteristic of the alchemical method of regarding nature. the necessary results were; great confusion of thought, much mystification of ideas, and a superabundance of _views_ about natural events. when the author of _the metamorphosis of metals_ was seeking for an argument in favour of his view, that water is the source and primal element of all things, he found what he sought in the biblical text: "in the beginning the spirit of god moved upon the face of the waters." similarly, the author of _the sodic hydrolith_ clenches his argument in favour of the existence of the philosopher's stone, by the quotation: "therefore, thus saith the lord; behold i lay in zion for a foundation a stone, a tried stone, a precious corner stone, a sure foundation. he that has it shall not be confounded." this author works out in detail an analogy between the functions and virtues of the _stone_, and the story of man's fall and redemption, as set forth in the old and new testaments. the same author speaks of "satan, that grim pseudo-alchemist." that the attribution, by the alchemists, of moral virtues and vices to natural things was in keeping with some deep-seated tendency of human nature, is shown by the persistence of some of their methods of stating the properties of substances: we still speak of "perfect and imperfect gases," "noble and base metals," "good and bad conductors of electricity," and "laws governing natural phenomena." convinced of the simplicity of nature, certain that all natural events follow one course, sure that this course was known to them and was represented by the growth of plants and animals, the alchemists set themselves the task, firstly, of proving by observations and experiments that their view of natural occurrences was correct; and, secondly, of discovering and gaining possession of the instrument whereby nature effects her transmutations and perfects her operations. the mastery of this instrument would give them power to change any metal into gold, the cure of all diseases, and the happiness which must come from the practical knowledge of the supreme secret of nature. the central quest of alchemy was the quest of an undefined and undefinable something wherein was supposed to be contained all the powers and potencies of life, and whatever makes life worth living. the names given to this mystical something were as many as the properties which were assigned to it. it was called _the one thing, the essence, the philosopher's stone, the stone of wisdom, the heavenly balm, the divine water, the virgin water, the carbuncle of the sun, the old dragon, the lion, the basilisk, the phoenix_; and many other names were given to it. we may come near to expressing the alchemist's view of the essential character of the object of their search by naming it _the soul of all things_. "alchemy," a modern writer says, "is the science of the soul of all things." the essence was supposed to have a material form, an ethereal or middle nature, and an immaterial or spiritual life. no one might hope to make this essence from any one substance, because, as one of the alchemists says, "it is the attribute of god alone to make one out of one; you must produce one thing out of two by natural generation." the alchemists did not pretend to create gold, but only to produce it from other things. the author of _a brief guide to the celestial ruby_ says: "we do not, as is sometimes said, profess to create gold and silver, but only to find an agent which ... is capable of entering into an intimate and maturing union with the mercury of the base metals." and again: "our art ... only arrogates to itself the power of developing, through the removal of all defects and superfluities, the golden nature which the baser metals possess." bonus, in his tract on _the new pearl of great price_ ( th century), says: "the art of alchemy ... does not create metals, or even develop them out of the metallic first-substance; it only takes up the unfinished handicraft of nature and completes it.... nature has only left a comparatively small thing for the artist to do--the completion of that which she has already begun." if the essence were ever attained, it would be by following the course which nature follows in producing the perfect plant from the imperfect seed, by discovering and separating the seed of metals, and bringing that seed under the conditions which alone are suitable for its growth. metals must have seed, the alchemists said, for it would be absurd to suppose they have none. "what prerogative have vegetables above metals," exclaims one of them, "that god should give seed to the one and withhold it from the other? are not metals as much in his sight as trees?" as metals, then, possess seed, it is evident how this seed is to be made active; the seed of a plant is quickened by descending into the earth, therefore the seed of metals must be destroyed before it becomes life-producing. "the processes of our art must begin with dissolution of gold; they must terminate in a restoration of the essential quality of gold." "gold does not easily give up its nature, and will fight for its life; but our agent is strong enough to overcome and kill it, and then it also has power to restore it to life, and to change the lifeless remains into a new and pure body." the application of the doctrine of the existence of seed in metals led to the performance of many experiments, and, hence, to the accumulation of a considerable body of facts established by experimental inquiries. the belief of the alchemists that all natural events are connected by a hidden thread, that everything has an influence on other things, that "what is above is as what is below," constrained them to place stress on the supposed connexion between the planets and the metals, and to further their metallic transformations by performing them at times when certain planets were in conjunction. the seven principal planets and the seven principal metals were called by the same names: _sol_ (gold), _luna_ (silver), _saturn_ (lead), _jupiter_ (tin), _mars_ (iron), _venus_ (copper), and _mercury_ (mercury). the author of _the new chemical light_ taught that one metal could be propagated from another only in the order of superiority of the planets. he placed the seven planets in the following descending order: saturn, jupiter, mars, sol, venus, mercury, luna. "the virtues of the planets descend," he said, "but do not ascend"; it is easy to change mars (iron) into venus (copper), for instance, but venus cannot be transformed into mars. although the alchemists regarded everything as influencing, and influenced by, other things, they were persuaded that the greatest effects are produced on a substance by substances of like nature with itself. hence, most of them taught that the seed of metals will be obtained by operations with metals, not by the action on metals of things of animal or vegetable origin. each class of substances, they said, has a life, or spirit (an essential character, we might say) of its own. "the life of sulphur," paracelsus said, "is a combustible, ill-smelling, fatness.... the life of gems and corals is mere colour.... the life of water is its flowing.... the life of fire is air." grant an attraction of like to like, and the reason becomes apparent for such directions as these: "nothing heterogeneous must be introduced into our magistery"; "everything should be made to act on that which is like it, and then nature will perform her duty." although each class of substances was said by the alchemists to have its own particular character, or life, nevertheless they taught that there is a deep-seated likeness between all things, inasmuch as the power of _the essence_, or _the one thing_, is so great that under its influence different things are produced from the same origin, and different things are caused to pass into and become the same thing. in _the new chemical light_ it is said: "while the seed of all things is one, it is made to generate a great variety of things." it is not easy now--it could not have been easy at any time--to give clear and exact meanings to the doctrines of the alchemists, or the directions they gave for performing the operations necessary for the production of the object of their search. and the difficulty is much increased when we are told that "the sage jealously conceals [his knowledge] from the sinner and the scornful, lest the mysteries of heaven should be laid bare to the vulgar gaze." we almost despair when an alchemical writer assures us that the sages "set pen to paper for the express purpose of concealing their meaning. the sense of a whole passage is often hopelessly obscured by the addition or omission of one little word, for instance the addition of the word _not_ in the wrong place." another writer says: "the sages are in the habit of using words which may convey either a true or a false impression; the former to their own disciples and children, the latter to the ignorant, the foolish, and the unworthy." sometimes, after descriptions of processes couched in strange and mystical language, the writer will add, "if you cannot perceive what you ought to understand herein, you should not devote yourself to the study of philosophy." philalethes, in his _brief guide to the celestial ruby_, seems to feel some pity for his readers; after describing what he calls "the generic homogeneous water of gold," he says: "if you wish for a more particular description of our water, i am impelled by motives of charity to tell you that it is living, flexible, clear, nitid, white as snow, hot, humid, airy, vaporous, and digestive." alchemy began by asserting that nature must be simple; it assumed that a knowledge of the plan and method of natural occurrences is to be obtained by thinking; and it used analogy as the guide in applying this knowledge of nature's design to particular events, especially the analogy, assumed by alchemy to exist, between material phenomena and human emotions. chapter iii. the alchemical conception of the unity and simplicity of nature. in the preceding chapter i have referred to the frequent use made by the alchemists of their supposition that nature follows the same plan, or at any rate a very similar plan, in all her processes. if this supposition is accepted, the primary business of an investigator of nature is to trace likenesses and analogies between what seem on the surface to be dissimilar and unconnected events. as this idea, and this practice, were the foundations whereon the superstructure of alchemy was raised, i think it is important to amplify them more fully than i have done already. mention is made in many alchemical writings of a mythical personage named _hermes trismegistus_, who is said to have lived a little later than the time of moses. representations of hermes trismegistus are found on ancient egyptian monuments. we are told that alexander the great found his tomb near hebron; and that the tomb contained a slab of emerald whereon thirteen sentences were written. the eighth sentence is rendered in many alchemical books as follows: "ascend with the greatest sagacity from the earth to heaven, and then again descend to the earth, and unite together the powers of things superior and things inferior. thus you will obtain the glory of the whole world, and obscurity will fly away from you." this sentence evidently teaches the unity of things in heaven and things on earth, and asserts the possibility of gaining, not merely a theoretical, but also a practical, knowledge of the essential characters of all things. moreover, the sentence implies that this fruitful knowledge is to be obtained by examining nature, using as guide the fundamental similarity supposed to exist between things above and things beneath. the alchemical writers constantly harp on this theme: follow nature; provided you never lose the clue, which is simplicity and similarity. the author of _the only way_ ( ) beseeches his readers "to enlist under the standard of that method which proceeds in strict obedience to the teaching of nature ... in short, the method which nature herself pursues in the bowels of the earth." the alchemists tell us not to expect much help from books and written directions. when one of them has said all he can say, he adds--"the question is whether even this book will convey any information to one before whom the writings of the sages and the open book of nature are exhibited in vain." another tells his readers the only thing for them is "to beseech god to give you the real philosophical temper, and to open your eyes to the facts of nature; thus alone will you reach the coveted goal." "follow nature" is sound advice. but, nature was to be followed with eyes closed save to one vision, and the vision was to be seen before the following began. the alchemists' general conception of nature led them to assign to every substance a condition or state natural to it, and wherein alone it could be said to be as it was designed to be. each substance, they taught, could be caused to leave its natural state only by violent, or non-natural, means, and any substance which had been driven from its natural condition by violence was ready, and even eager, to return to the condition consonant with its nature. thus norton, in his _ordinal of alchemy_, says: "metals are generated in the earth, for above ground they are subject to rust; hence above ground is the place of corruption of metals, and of their gradual destruction. the cause which we assign to this fact is that above ground they are not in their proper element, and an unnatural position is destructive to natural objects, as we see, for instance, that fishes die when they are taken out of the water; and as it is natural for men, beasts, and birds to live in the air, so stones and metals are naturally generated under the earth." in his _new pearl of great price_ ( th century), bonus says:--"the object of nature in all things is to introduce into each substance the form which properly belongs to it; and this is also the design of our art." this view assumed the knowledge of the natural conditions of the substances wherewith experiments were performed. it supposed that man could act as a guide, to bring back to its natural condition a substance which had been removed from that condition, either by violent processes of nature, or by man's device. the alchemist regarded himself as an arbiter in questions concerning the natural condition of each substance he dealt with. he thought he could say, "this substance ought to be thus, or thus," "that substance is constrained, thwarted, hindered from becoming what nature meant it to be." in ben jonson's play called _the alchemist_, subtle (who is the alchemist of the play) says, " ... metals would be gold if they had time." the alchemist not only attributed ethical qualities to material things, he also became the guardian and guide of the moral practices of these things. he thought himself able to recall the erring metal to the path of metalline virtue, to lead the extravagant mineral back to the moral home-life from which it had been seduced, to show the doubting and vacillating salt what it was ignorantly seeking, and to help it to find the unrealised object of its search. the alchemist acted as a sort of conscience to the metals, minerals, salts, and other substances he submitted to the processes of his laboratory. he treated them as a wise physician might treat an ignorant and somewhat refractory patient. "i know what you want better than you do," he seems often to be saying to the metals he is calcining, separating, joining and subliming. but the ignorant alchemist was not always thanked for his treatment. sometimes the patient rebelled. for instance, michael sendivogius, in his tract, _the new chemical light drawn from the fountain of nature and of manual experience_ ( th century), recounts _a dialogue between mercury, the alchemist, and nature_. "on a certain bright morning a number of alchemists met together in a meadow, and consulted as to the best way of preparing the philosopher's stone.... most of them agreed that mercury was the first substance. others said, no, it was sulphur, or something else.... just as the dispute began to run high, there arose a violent wind, which dispersed the alchemists into all the different countries of the world; and as they had arrived at no conclusion, each one went on seeking the philosopher's stone in his own old way, this one expecting to find it in one substance, and that in another, so that the search has continued without intermission even unto this day. one of them, however, had at least got the idea into his head that mercury was the substance of the stone, and determined to concentrate all his efforts on the chemical preparation of mercury.... he took common mercury and began to work with it. he placed it in a glass vessel over the fire, when it, of course, evaporated. so in his ignorance he struck his wife, and said: 'no one but you has entered my laboratory; you must have taken my mercury out of the vessel.' the woman, with tears, protested her innocence. the alchemist put some more mercury into the vessel.... the mercury rose to the top of the vessel in vaporous steam. then the alchemist was full of joy, because he remembered that the first substance of the stone is described by the sages as volatile; and he thought that now at last he _must_ be on the right track. he now began to subject the mercury to all sorts of chemical processes, to sublime it, and to calcine it with all manner of things, with salts, sulphur, metals, minerals, blood, hair, aqua fortis, herbs, urine, and vinegar.... everything he could think of was tried; but without producing the desired effect." the alchemist then despaired; after a dream, wherein an old man came and talked with him about the "mercury of the sages," the alchemist thought he would charm the mercury, and so he used a form of incantation. the mercury suddenly began to speak, and asked the alchemist why he had troubled him so much, and so on. the alchemist replied, and questioned the mercury. the mercury makes fun of the philosopher. then the alchemist again torments the mercury by heating him with all manner of horrible things. at last mercury calls in the aid of nature, who soundly rates the philosopher, tells him he is grossly ignorant, and ends by saying: "the best thing you can do is to give yourself up to the king's officers, who will quickly put an end to you and your philosophy." as long as men were fully persuaded that they knew the plan whereon the world was framed, that it was possible for them to follow exactly "the road which was followed by the great architect of the universe in the creation of the world," a real knowledge of natural events was impossible; for every attempt to penetrate nature's secrets presupposed a knowledge of the essential characteristics of that which was to be investigated. but genuine knowledge begins when the investigator admits that he must learn of nature, not nature of him. it might be truly said of one who held the alchemical conception of nature that "his foible was omniscience"; and omniscience negatives the attainment of knowledge. the alchemical notion of a natural state as proper to each substance was vigorously combated by the honourable robert boyle (born , died ), a man of singularly clear and penetrative intellect. in _a paradox of the natural and supernatural states of bodies, especially of the air_, boyle says:--"i know that not only in living, but even in inanimate, bodies, of which alone i here discourse, men have universally admitted the famous distinction between the natural and preternatural, or violent state of bodies, and do daily, without the least scruple, found upon it hypotheses and ratiocinations, as if it were most certain that what they call nature had purposely formed bodies in such a determinate state, and were always watchful that they should not by any external violence be put out of it. but notwithstanding so general a consent of men in this point, i confess, i cannot yet be satisfied about it in the sense wherein it is wont to be taken. it is not, that i believe, that there is no sense in which, or in the account upon which, a body may he said to be in its natural state; but that i think the common distinction of a natural and violent state of bodies has not been clearly explained and considerately settled, and both is not well grounded, and is oftentimes ill applied. for when i consider that whatever state a body be put into, or kept in, it obtains or retains that state, assenting to the catholic laws of nature, i cannot think it fit to deny that in this sense the body proposed is in a natural state; but then, upon the same ground, it will he hard to deny but that those bodies which are said to be in a violent state may also be in a natural one, since the violence they are presumed to suffer from outward agents is likewise exercised no otherwise than according to the established laws of universal nature." there must be something very fascinating and comforting in the alchemical view of nature, as a harmony constructed on one simple plan, which can be grasped as a whole, and also in its details, by the introspective processes of the human intellect; for that conception prevails to-day among those who have not investigated natural occurrences for themselves. the alchemical view of nature still forms the foundation of systems of ethics, of philosophy, of art. it appeals to the innate desire of man to make himself the measure of all things. it is so easy, so authoritative, apparently so satisfactory. no amount of thinking and reasoning will ever demonstrate its falsity. it can be conquered only by a patient, unbiassed, searching examination of some limited portion of natural events. chapter iv. the alchemical elements and principles. the alchemists were sure that the intention of nature regarding metals was that they should become gold, for gold was considered to be the most perfect metal, and nature, they said, evidently strains after perfection. the alchemist found that metals were worn away, eaten through, broken, and finally caused to disappear, by many acid and acrid liquids which he prepared from mineral substances. but gold resisted the attacks of these liquids; it was not changed by heat, nor was it affected by sulphur, a substance which changed limpid, running mercury into an inert, black solid. hence, gold was more perfect in the alchemical scale than any other metal. since gold was considered to be the most perfect metal, it was self-evident to the alchemical mind that nature must form gold slowly in the earth, must transmute gradually the inferior metals into gold. "the only thing that distinguishes one metal from another," writes an alchemist who went under the name of philalethes, "is its degree of maturity, which is, of course, greatest in the most precious metals; the difference between gold and lead is not one of substance, but of digestion; in the baser metal the coction has not been such as to purge out its metallic impurities. if by any means this superfluous impure matter could be organically removed from the baser metals, they would become gold and silver. so miners tell us that lead has in many cases developed into silver in the bowels of the earth, and we contend that the same effect is produced in a much shorter time by means of our art." stories were told about the finding of gold in deserted mines which had been worked out long before; these stories were supposed to prove that gold was bred in the earth. the facts that pieces of silver were found in tin and lead mines, and gold was found in silver mines, were adduced as proofs that, as the author of _the new pearl of great price_ says, "nature is continually at work changing other metals into gold, because, though in a certain sense they are complete in themselves, they have not yet reached the highest perfection of which they are capable, and to which nature has destined them." what nature did in the earth man could accomplish in the workshop. for is not man the crown of the world, the masterpiece of nature, the flower of the universe; was he not given dominion over all things when the world was created? in asserting that the baser metals could be transmuted into gold, and in attempting to effect this transmutation, the alchemist was not acting on a vague; haphazard surmise; he was pursuing a policy dictated by his conception of the order of nature; he was following the method which he conceived to be that used by nature herself. the transmutation of metals was part and parcel of a system of natural philosophy. if this transmutation were impossible, the alchemical scheme of things would be destroyed, the believer in the transmutation would be left without a sense of order in the material universe. and, moreover, the alchemist's conception of an orderly material universe was so intimately connected with his ideas of morality and religion, that to disprove the possibility of the great transmutation would be to remove not only the basis of his system of material things, but the foundations of his system of ethics also. to take away his belief in the possibility of changing other metals into gold would be to convert the alchemist into an atheist. how, then, was the transmutation to be accomplished? evidently by the method whereby nature brings to perfection other living things; for the alchemist's belief in the simplicity and unity of nature compelled him to regard metals as living things. plants are improved by appropriate culture, by digging and enriching the soil, by judicious selection of seed; animals are improved by careful breeding. by similar processes metals will be encouraged and helped towards perfection. the perfect state of gold will not be reached at a bound; it will be gained gradually. many partial purifications will be needed. as _subtle_ says in _the alchemist_-- 'twere absurd to think that nature in the earth bred gold perfect in the instant; something went before, there must be remote matter.... nature doth first beget the imperfect, then proceeds she to the perfect. at this stage the alchemical argument becomes very ultra-physical. it may, perhaps, be rendered somewhat as follows:-- man is the most perfect of animals; in man there is a union of three parts, these are body, soul, and spirit. metals also may be said to have a body, a soul, and a spirit; there is a specific bodily, or material, form belonging to each metal; there is a metalline soul characteristic of this or that class of metals; there is a spirit, or inner immaterial potency, which is the very essence of all metals. the soul and spirit of man are clogged by his body. if the spiritual nature is to become the dominating partner, the body must be mortified: the alchemists, of course, used this kind of imagery, and it was very real to them. in like manner the spirit of metals will be laid bare and enabled to exercise its transforming influences, only when the material form of the individual metal has been destroyed. the first thing to do, then, is to strip off and cast aside those properties of metals which appeal to the senses. "it is necessary to deprive matter of its qualities in order to draw out its soul," said stephanus of alexandria in the th century; and in the th century paracelsus said, "nothing of true value is located in the body of a substance, but in the virtue ... the less there is of body the more in proportion is the virtue." but the possession of the soul of metals is not the final stage: mastery of the soul may mean the power of transmuting a metal into another like itself; it will not suffice for the great transmutation, for in that process a metal becomes gold, the one and only perfect metal. hence the soul also must be removed, in order that the spirit, the essence, the kernel, may be obtained. and as it is with metals, so, the alchemists argued, it is with all things. there are a few _principles_ which may be thought of as conditioning the specific bodily and material forms of things; beneath these, there are certain _elements_ which are common to many things whose principles are not the same; and, hidden by the wrappings of elements and principles, there is the one _essence_, the spirit, the mystic uniting bond, the final goal of the philosopher. i propose in this chapter to try to analyse the alchemical conceptions of elements and principles, and in the next chapter to attempt some kind of description of the essence. in his _tract concerning the great stone of the ancient sages_, basil valentine speaks of the "three principles," salt, sulphur, and mercury, the source of which is the elements. "there are four elements, and each has at its centre another element which makes it what it is. these are the four pillars of the earth." of the element _earth_, he says:--"in this element the other three, especially fire, are latent.... it is gross and porous, specifically heavy, but naturally light.... it receives all that the other three project into it, conscientiously conceals what it should hide, and brings to light that which it should manifest.... outwardly it is visible and fixed, inwardly it is invisible and volatile." of the element _water_, basil valentine says:--"outwardly it is volatile, inwardly it is fixed, cold, and humid.... it is the solvent of the world, and exists in three degrees of excellence: the pure, the purer, and the purest. of its purest substance the heavens were created; of that which is less pure the atmospheric air was formed; that which is simply pure remains in its proper sphere where ... it is guardian of all subtle substances here below." concerning the element _air_, he writes:--"the most noble element of air ... is volatile, but may be fixed, and when fixed renders all bodies penetrable.... it is nobler than earth or water.... it nourishes, impregnates, conserves the other elements." finally, of the element _fire_:--"fire is the purest and noblest of all elements, full of adhesive unctuous corrosiveness, penetrant, digestive, inwardly fixed, hot and dry, outwardly visible, and tempered by the earth.... this element is the most passive of all, and resembles a chariot; when it is drawn, it moves; when it is not drawn, it stands still." basil valentine then tells his readers that adam was compounded of the four pure elements, but after his expulsion from paradise he became subject to the various impurities of the animal creation. "the pure elements of his creation were gradually mingled and infected with the corruptible elements of the outer world, and thus his body became more and more gross, and liable, through its grossness, to natural decay and death." the process of degeneration was slow at first, but "as time went on, the seed out of which men were generated became more and more infected with perishable elements. the continued use of corruptible food rendered their bodies more and more gross; and human life was soon reduced to a very brief span." basil valentine then deals with the formation of the three _principles_ of things, by the mutual action of the four elements. fire acting on air produced _sulphur_; air acting on water produced _mercury_; water acting on earth produced _salt_. earth having nothing to act on produced nothing, but became the nurse of the three principles. "the three principles," he says, "are necessary because they are the immediate substance of metals. the remoter substance of metals is the four elements, but no one can produce anything out of them but god; and even god makes nothing of them but these three principles." to endeavour to obtain the four pure elements is a hopeless task. but the sage has the three principles at hand. "the artist should determine which of the three principles he is seeking, and should assist it so that it may overcome its contrary." "the art consists in an even mingling of the virtues of the elements; in the natural equilibrium of the hot, the dry, the cold, and the moist." the account of the elements given by philalethes differs from that of basil valentine. philalethes enumerates three elements only: air, water, and earth. things are not formed by the mixture of these elements, for "dissimilar things can never really unite." by analysing the properties of the three elements, philalethes reduced them finally to one, namely, water. "water," he says, "is the first principle of all things." "earth is the fundamental element in which all bodies grow and are preserved. air is the medium into which they grow, and by means of which the celestial virtues are communicated to them." according to philalethes, _mercury_ is the most important of the three principles. although gold is formed by the aid of mercury, it is only when mercury has been matured, developed, and perfected, that it is able to transmute inferior metals into gold. the essential thing to do is, therefore, to find an agent which will bring about the maturing and perfecting of mercury. this agent, philalethes calls "our divine arcanum." although it appears to me impossible to translate the sayings of the alchemists concerning elements and principles into expressions which shall have definite and exact meanings for us to-day, still we may, perhaps, get an inkling of the meaning of such sentences as those i have quoted from basil valentine and philalethes. take the terms _fire_ and _water_. in former times all liquid substances were supposed to be liquid because they possessed something in common; this hypothetical something was called the _element, water_. similarly, the view prevailed until comparatively recent times, that burning substances burn because of the presence in them of a hypothetical imponderable fluid, called "_caloric_"; the alchemists preferred to call this indefinable something an element, and to name it _fire_. we are accustomed to-day to use the words _fire_ and _water_ with different meanings, according to the ideas we wish to express. when we say "do not touch the fire," or "put your hand into the water," we are regarding fire and water as material things; when we say "the house is on fire," or speak of "a diamond of the first water," we are thinking of the condition or state of a burning body, or of a substance as transparent as water. when we say "put out the fire," or "his heart became as water," we are referring to the act of burning, or are using an image which likens the thing spoken of to a substance in the act of liquefying. as we do to-day, so the alchemists did before us; they used the words _fire_ and _water_ to express different ideas. such terms as hardness, softness, coldness, toughness, and the like, are employed for the purpose of bringing together into one point of view different things which are alike in, at least, one respect. hard things may differ in size, weight, shape, colour, texture, &c. a soft thing may weigh the same as a hard thing; both may have the same colour or the same size, or be at the same temperature, and so on. by classing together various things as hard or soft, or smooth or rough, we eliminate (for the time) all the properties wherein the things differ, and regard them only as having one property in common. the words hardness, softness, &c., are useful class-marks. similarly the alchemical elements and principles were useful class-marks. we must not suppose that when the alchemists spoke of certain things as formed from, or by the union of, the same elements or the same principles, they meant that these things contained a common substance. their elements and principles were not thought of as substances, at least not in the modern meaning of the expression, _a substance_; they were qualities only. if we think of the alchemical elements earth, air, fire, and water, as general expressions of what seemed to the alchemists the most important properties of all substances, we may be able to attach some kind of meaning to the sayings of basil valentine, which i have quoted. for instance, when that alchemist tells us, "fire is the most passive of all elements, and resembles a chariot; when it is drawn, it moves; when it is not drawn, it stands still"--we may suppose he meant to express the fact that a vast number of substances can be burnt, and that combustion does not begin of itself, but requires an external agency to start it. unfortunately, most of the terms which the alchemists used to designate their elements and principles are terms which are now employed to designate specific substances. the word _fire_ is still employed rather as a quality of many things under special conditions, than as a specific substance; but _earth_, _water_, _air_, _salt_, _sulphur_, and _mercury_, are to-day the names applied to certain groups of properties, each of which is different from all other groups of properties, and is, therefore, called, in ordinary speech, a definite kind of matter. as knowledge became more accurate and more concentrated, the words _sulphur_, _salt_, _mercury_, &c., began to be applied to distinct substances, and as these terms were still employed in their alchemical sense as compendious expressions for certain qualities common to great classes of substances, much confusion arose. kunckel, the discoverer of phosphorus, who lived between and , complained of the alchemists' habit of giving different names to the same substance, and the same name to different substances. "the sulphur of one," he says, "is not the sulphur of another, to the great injury of science. to that one replies that everyone is perfectly free to baptise his infant as he pleases. granted. you may if you like call an ass an ox, but you will never make anyone believe that your ox is an ass." boyle is very severe on the vague and loose use of words practised by so many writers of his time. in _the sceptical chymist_ (published - ) he says: "if judicious men, skilled in chymical affairs, shall once agree to write clearly and plainly of them, and thereby keep men from being stunned, as it were, or imposed upon by dark and empty words; it is to be hoped that these [other] men finding, that they can no longer write impertinently and absurdly, without being laughed at for doing so, will be reduced either to write nothing, or books that may teach us something, and not rob men, as formerly, of invaluable time; and so ceasing to trouble the world with riddles or impertinences, we shall either by their books receive an advantage, or by their silence escape an inconvenience." most of the alchemists taught that the elements produced what they called _seed_, by their mutual reactions, and the principles matured this seed and brought it to perfection. they supposed that each class, or kind, of things had its own seed, and that to obtain the seed was to have the power of producing the things which sprung from that seed. some of them, however, asserted that all things come from a common seed, and that the nature of the products of this seed is conditioned by the circumstances under which it is caused to develop. thus michael sendivogius writes as follows in _the new chemical light, drawn from the fountain of nature and of manual experience_ ( th century):-- "wherever there is seed, nature will work through it, whether it be good or bad." "the four elements, by their continued action, project a constant supply of seed to the centre of the earth, where it is digested, and whence it proceeds again in generative motions. now the centre of the earth is a certain void place where nothing is at rest, and upon the margin or circumference of this centre the four elements project their qualities.... the magnetic force of our earth-centre attracts to itself as much as is needed of the cognate seminal substance, while that which cannot be used for vital generation is thrust forth in the shape of stones and other rubbish. this is the fountain-head of all things terrestrial. let us illustrate the matter by supposing a glass of water to be set in the middle of a table, round the margin of which are placed little heaps of salt, and of powders of different colours. if the water be poured out, it will run all over the table in divergent rivulets, and will become salt where it touches the salt, red where it touches the red powder, and so on. the water does not change the '_places_,' but the several '_places_' differentiate the water.[ ] in the same way, the seed which is the product of the four elements is projected in all directions from the earth-centre, and produces different things, according to the quality of the different places. thus, while the seed of all things is one, it is made to generate a great variety of things.... so long as nature's seed remains in the centre it can indifferently produce a tree or a metal, a herb or a stone, and in like manner, according to the purity of the place, it will produce what is less or more pure." [ ] the author i am quoting had said--"nature is divided into four '_places_' in which she brings forth all things that appear and that are in the shade; and according to the good or bad quality of the '_place_,' she brings forth good or bad things.... it is most important for us to know her '_places_' ... in order that we may join things together according to nature." chapter v. the alchemical essence. in the last chapter i tried to describe the alchemical view of the interdependence of different substances. taking for granted the tripartite nature of man, the co-existence in him of body, soul, and spirit (no one of which was defined), the alchemists concluded that all things are formed as man is formed; that in everything there is a specific bodily form, some portion of soul, and a dash of spirit. i considered the term _soul_ to be the alchemical name for the properties common to a class of substances, and the term _spirit_ to mean the property which was thought by the alchemists to be common to all things. the alchemists considered it possible to arrange all substances in four general classes, the marks whereof were expressed by the terms hot, cold, moist, and dry; they thought of these properties as typified by what they called the four elements--fire, air, water, and earth. everything, they taught, was produced from the four elements, not immediately, but through the mediation of the three principles--mercury, sulphur, and salt. these principles were regarded as the tools put into the hands of him who desired to effect the transmutation of one substance into another. the principles were not thought of as definite substances, nor as properties of this or that specified substance; they were considered to be the characteristic properties of large classes of substances. the chemist of to-day places many compounds in the same class because all are acids, because all react similarly under similar conditions. it used to be said that every acid possesses more or less of _the principle of acidity_. lavoisier changed the language whereby certain facts concerning acids were expressed. he thought that experiments proved all acids to be compounds of the element oxygen; and for many years after lavoisier, the alchemical expression _the principle of acidity_ was superseded by the word _oxygen_. although lavoisier recognised that not every compound of oxygen is an acid, he taught that every acid is a compound of oxygen. we know now that many acids are not compounds of oxygen, but we have not yet sufficient knowledge to frame a complete definition of the term _acid_. nevertheless it is convenient, indeed it is necessary, to place together many compounds which react similarly under certain defined conditions, and to give a common name to them all. the alchemists also classified substances, but their classification was necessarily more vague than ours; and they necessarily expressed their reasons for putting different substances in the same class in a language which arose out of the general conceptions of natural phenomena which prevailed in their time. the primary classification of substances made by the alchemists was expressed by saying; these substances are rich in the principle _sulphur_, those contain much of the principle _mercury_, and this class is marked by the preponderance of the principle _salt_. the secondary classification of the alchemists was expressed by saying; this class is characterised by dryness, that by moisture, another by coldness, and a fourth by hotness; the dry substances contain much of the element _earth_, the moist substances are rich in the element _water_, in the cold substances the element _air_ preponderates, and the hot substances contain more of the element _fire_ than of the other elements. the alchemists went a step further in their classification of things. they asserted that there is one thing present in all things; that everything is a vehicle for the more or less perfect exhibition of the properties of the one thing; that there is a primal element common to all substances. the final aim of alchemy was to obtain the one thing, the primal element, the soul of all things, so purified, not only from all specific substances, but also from all admixture of the four elements and the three principles, as to make possible the accomplishment of any transmutation by the use of it. if a person ignorant of its powers were to obtain the essence, he might work vast havoc and cause enormous confusion; it was necessary, therefore, to know the conditions under which the potencies of the essence became active. hence there was need of prolonged study of the mutual actions of the most seemingly diverse substances, and of minute and patient examination of the conditions under which nature performs her marvellous transmutations. the quest of the one thing was fraught with peril, and was to be attempted only by those who had served a long and laborious apprenticeship. in _the chemical treatise of thomas norton, the englishman, called believe-me, or the ordinal of alchemy_ ( th century), the adept is warned not to disclose his secrets to ordinary people. "you should carefully test and examine the life, character, and mental aptitudes of any person who would be initiated in this art, and then you should bind him, by a sacred oath, not to let our magistery be commonly or vulgarly known. only when he begins to grow old and feeble, he may reveal it to one person, but not to more, and that one man must be virtuous.... if any wicked man should learn to practise the art, the event would be fraught with great danger to christendom. for such a man would overstep all bounds of moderation, and would remove from their hereditary thrones those legitimate princes who rule over the peoples of christendom." the results of the experimental examination of the compositions and properties of substances, made since the time of the alchemists, have led to the modern conception of the chemical element, and the isolation of about seventy or eighty different elements. no substance now called an element has been produced in the laboratory by uniting two, or more, distinct substances, nor has any been separated into two, or more, unlike portions. the only decided change which a chemical element has been caused to undergo is the combination of it with some other element or elements, or with a compound or compounds. but it is possible that all the chemical elements may be combinations of different quantities of one primal element. certain facts make this supposition tenable; and some chemists expect that the supposition will be proved to be correct. if the hypothetical primal element should be isolated, we should have fulfilled the aim of alchemy, and gained the one thing; but the fulfilment would not be that whereof the alchemists dreamed. inasmuch as the alchemical essence was thought of as the universal spirit to whose presence is due whatever degree of perfection any specific substance exhibits, it followed that the more perfect a substance the greater is the quantity of the essence in it. but even in the most perfect substance found in nature--which substance, the alchemists said, is gold--the essence is hidden by wrappings of specific properties which prevent the ordinary man from recognising it. remove these wrappings from some special substance, and you have the perfect form of that thing; you have some portion of the universal spirit joined to the one general property of the class of things whereof the particular substance is a member. then remove the class-property, often spoken of by the alchemists as _the life_, of the substance, and you have the essence itself. the alchemists thought that to every thing, or at any rate to every class of things, there corresponds a more perfect form than that which we see and handle; they spoke of gold, and the _gold of the sages_; mercury, and the _mercury of the philosophers_; sulphur, and the _heavenly sulphur of him whose eyes are opened_. to remove the outer wrappings of ordinary properties which present themselves to the untrained senses, was regarded by the alchemists to be a difficult task; to tear away the soul (the class-property) of a substance, and yet retain the essence which made that substance its dwelling place, was possible only after vast labour, and by the use of the proper agent working under the proper conditions. an exceedingly powerful, delicate, and refined agent was needed; and the mastery of the agent was to be acquired by bitter experience, and, probably, after many disappointments. "gold," an alchemist tells us, "does not easily give up its nature, and will fight for its life; but our agent is strong enough to overcome and kill it, and then it also has the power to restore it to life, and to change the lifeless remains into a new and pure body." thomas norton, the author of _the ordinal of alchemy_, writing in the th century, says the worker in transmutations is often tempted to be in a hurry, or to despair, and he is often deceived. his servants will be either stupid and faithful, or quick-witted and false. he may be robbed of everything when his work is almost finished. the only remedies are infinite patience, a sense of virtue, and sound reason. "in the pursuit of our art," he says, "you should take care, from time to time, to unbend your mind from its sterner employments with some convenient recreation." the choice of workmen to aid in the mechanical parts of the quest was a great trouble to the alchemists. on this subject norton says--"if you would be free from all fear over the gross work, follow my counsel, and never engage married men; for they soon give in and pretend they are tired out.... hire your workmen for certain stipulated wages, and not for longer periods than twenty-four hours at a time. give them higher wages than they would receive elsewhere, and be prompt and ready in your payments." many accounts are given by alchemical writers of the agent, and many names are bestowed on it. the author of _a brief guide to the celestial ruby_ speaks thus of the agent--"it is our doorkeeper, our balm, our honey, oil, urine, maydew, mother, egg, secret furnace, oven, true fire, venomous dragon, theriac, ardent wine, green lion, bird of hermes, goose of hermogenes, two-edged sword in the hand of the cherub that guards the tree of life.... it is our true secret vessel, and the garden of the sages in which our sun rises and sets. it is our royal mineral, our triumphant vegetable saturnia, and the magic rod of hermes, by means of which he assumes any shape he likes." sometimes we are told that the agent is mercury, sometimes that it is gold, but not common mercury or common gold. "supplement your common mercury with the inward fire which it needs, and you will soon get rid of all superfluous dross." "the agent is gold, as highly matured as natural and artificial digestion can make it, and a thousand times more perfect than the common metal of that name. gold, thus exalted, radically penetrates, tinges, and fixes metals." the alchemists generally likened the work to be performed by their agent to the killing of a living thing. they constantly use the allegory of death, followed by resurrection, in describing the steps whereby the essence was to be obtained, and the processes whereby the baser metals were to be partially purified. they speak of the mortification of metals, the dissolution and putrefaction of substances, as preliminaries to the appearance of the true life of the things whose outward properties have been destroyed. for instance, paracelsus says: "destruction perfects that which is good; for the good cannot appear on account of that which conceals it." the same alchemist speaks of rusting as the mortification of metals; he says: "the mortification of metals is the removal of their bodily structure.... the mortification of woods is their being turned into charcoal or ashes." paracelsus distinguishes natural from artificial mortification, "whatever nature consumes," he says, "man cannot restore. but whatever man destroys man can restore, and break again when restored." things which had been mortified by man's device were considered by paracelsus not to be really dead. he gives this extraordinary illustration of his meaning: "you see this is the case with lions, which are all born dead, and are first vitalised by the horrible noise of their parents, just as a sleeping person is awakened by a shout." the mortification of metals is represented in alchemical books by various images and allegories. fig. i. is reduced from a cut in a th century work, _the book of lambspring, a noble ancient philosopher, concerning the philosophical stone_. [illustration: here the father devours the son; the soul and spirit flow forth from the body. fig. i.] the image used to set forth the mortification of metals is a king swallowing his son. figs. ii. and iii. are reduced from basil valentine's _twelve keys_. both of these figures represent the process of mortification by images connected with death and burial. [illustration: fig. ii.] in his explanation (?) of these figures, basil valentine says:-- "neither human nor animal bodies can be multiplied or propagated without decomposition; the grain and all vegetable seed, when cast into the ground, must decay before it can spring up again; moreover, putrefaction imparts life to many worms and other animalculæ.... if bread is placed in honey, and suffered to decay, ants are generated ... maggots are also developed by the decay of nuts, apples, and pears. the same thing may be observed in regard to vegetable life. nettles and other weeds spring up where no such seed has ever been sown. this occurs only by putrefaction. the reason is that the soil in such places is so disposed, and, as it were, impregnated, that it produces these fruits; which is a result of the properties of sidereal influences; consequently the seed is spiritually produced in the earth, and putrefies in the earth, and by the operation of the elements generates corporeal matter according to the species of nature. thus the stars and the elements may generate new spiritual, and ultimately, new vegetable seed, by means of putrefaction.... know that, in like manner, no metallic seed can develop, or multiply, unless the said seed, by itself alone, and without the introduction of any foreign substance, be reduced to a perfect putrefaction." [illustration: fig. iii.] the action of the mineral agent in perfecting substances is often likened by the alchemists to the conjoining of the male and the female, followed by the production of offspring. they insist on the need of a union of two things, in order to produce something more perfect than either. the agent, they say, must work upon something; alone it is nothing. the methods whereby the agent is itself perfected, and the processes wherein the agent effects the perfecting of the less perfect things, were divided into stages by the alchemists. they generally spoke of these stages as _gates_, and enumerated ten or sometimes twelve of them. as examples of the alchemical description of these gates, i give some extracts from _a brief guide to the celestial ruby_. the first gate is _calcination_, which is "the drying up of the humours"; by this process the substance "is concocted into a black powder which is yet unctuous, and retains its radical humour." when gold passes through this gate, "we observe in it two natures, the fixed and the volatile, which we liken to two serpents." the fixed nature is likened to a serpent without wings; the volatile, to a serpent with wings: calcination unites these two into one. the second gate, _dissolution_, is likened to death and burial; but the true essence will appear glorious and beautiful when this gate is passed. the worker is told not to be discouraged by this apparent death. _the mercury of the sages_ is spoken of by this author as the queen, and gold as the king. the king dies for love of the queen, but he is revived by his spouse, who is made fruitful by him and brings forth "a most royal son." figs. iv. and v. are reduced from _the book of lambspring_; they express the need of the conjunction of two to produce one. [illustration: here you behold a great marvel-- two lions are joined into one. the spirit and soul must be united in their body. fig. iv.] after dissolution came _conjunction_, wherein the separated elements were combined. then followed _putrefaction_, necessary for the germination of the seed which had been produced by calcination, dissolution, and conjunction. putrefaction was followed by _congelation_ and _citation_. the passage through the next gate, called _sublimation_, caused the body to become spiritual, and the spiritual to be made corporal. _fermentation_ followed, whereby the substance became soft and flowed like wax. finally, by _exaltation_, the stone was perfected. [illustration: here are two birds, great and strong--the body and spirit; one devours the other. let the body be placed in horse-dung, or a warm bath, the spirit having been extracted from it. the body has become white by the process, the spirit red by our art. all that exists tends towards perfection, and thus is the philosopher's stone prepared. fig. v.] the author of _the open entrance_ speaks of the various stages in the perfecting of the agent as _regimens_. the beginning of the heating of gold with mercury is likened to the king stripping off his golden garments and descending into the fountain; this is the _regimen of mercury_. as the heating is continued, all becomes black; this is the _regimen of saturn_. then is noticed a play of many colours; this is the _regimen of jupiter_: if the heat is not regulated properly, "the young ones of the crow will go back to the nest." about the end of the fourth month you will see "the sign of the waxing moon," and all becomes white; this is the _regimen of the moon_. the white colour gives place to purple and green; you are now in the _regimen of venus_. after that, appear all the colours of the rainbow, or of a peacock's tail; this is the _regimen of mars_. finally the colour becomes orange and golden; this is the _regimen of the sun_. the reader may wish to have some description of the essence. the alchemists could describe it only in contraries. it had a bodily form, but its method of working was spiritual. in _the sodic hydrolith, or water stone of the wise_ we are told:-- "the stone is conceived below the earth, born in the earth, quickened in heaven, dies in time, and obtains eternal glory.... it is bluish-grey and green.... it flows like water, yet it makes no wet; it is of great weight, and is small." philalethes says, in _a brief guide to the celestial ruby_: "the philosopher's stone is a certain heavenly, spiritual, penetrative, and fixed substance, which brings all metals to the perfection of gold or silver (according to the quality of the medicine), and that by natural methods, which yet in their effects transcend nature.... know then that it is called a stone, not because it is like a stone, but only because, by virtue of its fixed nature, it resists the action of fire as successfully as any stone. in species it is gold, more pure than the purest; it is fixed and incombustible like a stone, but its appearance is that of very fine powder, impalpable to the touch, sweet to the taste, fragrant to the smell, in potency a most penetrative spirit, apparently dry and yet unctuous, and easily capable of tinging a plate of metal.... if we say that its nature is spiritual, it would be no more than the truth; if we described it as corporeal, the expression would be equally correct." the same author says: "there is a substance of a metalline species which looks so cloudy that the universe will have nothing to do with it. its visible form is vile; it defiles metalline bodies, and no one can readily imagine that the pearly drink of bright phoebus should spring from thence. its components are a most pure and tender mercury, a dry incarcerate sulphur, which binds it and restrains fluxation.... know this subject, it is the sure basis of all our secrets.... to deal plainly, it is the child of saturn, of mean price and great venom.... it is not malleable, though metalline. its colour is sable, with intermixed argent which mark the sable fields with veins of glittering argent." in trying to attach definite meanings to the alchemical accounts of principles, elements, and the one thing, and the directions which the alchemists give for changing one substance into others, we are very apt to be misled by the use of such an expression as _the transmutation of the elements_. to a chemist that phrase means the change of an element into another element, an element being a definite substance, which no one has been able to produce by the combination of two or more substances unlike itself, or to separate into two or more substances unlike itself. but whatever may have been the alchemical meaning of the word _element_, it was certainly not that given to the same word to-day. nor did the word _transmutation_ mean to the alchemist what it means to the chemist. the facts which are known at present concerning the elements make unthinkable such a change as that of lead into silver; but new facts _may_ be discovered which will make possible the separation of lead into things unlike itself, and the production of silver by the combination of some of these constituents of lead. the alchemist supposed he knew such facts as enabled him not only to form a mental picture of the change of lead into silver, or tin into gold, but also to assert that such changes must necessarily happen, and to accomplish them. although we are quite sure that the alchemist's facts were only imaginings, we ought not to blame him for his reasoning on what he took to be facts. every metal is now said to be an element, in the modern meaning of that word: the alchemist regarded the metals as composite substances; but he also thought of them as more simple than many other things. hence, if he was able to transmute one metal into another, he would have strong evidence in support of his general conception of the unity of all things. and, as transmutation meant, to the alchemist, the bringing of a substance to the condition of greatest perfection possible for that substance, his view of the unity of nature might be said to be proved if he succeeded in changing one of the metals, one of these comparatively simple substances, into the most perfect of all metals, that is, into gold. the transmutation of the baser metals into gold thus came to be the practical test of the justness of the alchemical scheme of things. some alchemists assert they had themselves performed the great transmutation; others tell of people who had accomplished the work. the following story is an example of the accounts given of the making of gold. it is taken from _john frederick helvetius' golden calf, which the world worships and adores_ ( th century):-- "on the th december , in the forenoon, there came to my house a certain man, who was a complete stranger to me, but of an honest grave countenance, and an authoritative mien, clothed in a simple garb.... he was of middle height, his face was long and slightly pock-marked, his hair was black and straight, his chin close-shaven, his age about forty-three or forty-four, and his native province, as far as i could make out, north holland. after we had exchanged salutations, he asked me whether he might have some conversation with me. he wished to say something to me about the pyrotechnic art, as he had read one of my tracts (directed against the sympathetic powder of dr digby), in which i hinted a suspicion whether the grand arcanum of the sages was not after all a gigantic hoax. he, therefore, took that opportunity of asking me whether i could not believe that such a grand mystery might exist in the nature of things, by means of which a physician could restore any patient whose vitals were not irreparably destroyed. i answered, 'such a medicine would be a most desirable acquisition for any physician; nor can any man tell how many secrets there may be hidden in nature; yet, though i have read much about the truth of this art, it has never been my good fortune to meet with a real master of the alchemical science.' ... after some further conversation, the artist elias (for it was he) thus addressed me: 'since you have read so much in the works of the alchemists about this stone, its substance, its colour and its wonderful effects, may i be allowed the question, whether you have not prepared it yourself?' on my answering his question in the negative, he took out of his bag a cunningly-worked ivory box, in which were three large pieces of substance resembling glass, or pale sulphur, and informed me that here was enough of the tincture for the production of twenty tons of gold. when i had held the precious treasure in my hand for a quarter of an hour (during which time i listened to a recital of its wonderful curative properties), i was compelled to restore it to its owner, which i could not help doing with a certain degree of reluctance.... my request that he would give me a piece of his stone (though it were no larger than a coriander seed), he somewhat brusquely refused, adding, in a milder tone, that he could not give it me for all the wealth i possessed, and that not on account of its great preciousness, but for some other reason which it was not lawful for him to divulge.... then he inquired whether i could not show him into a room at the back of the house, where we should be less liable to the observation of passers-by. on my conducting him into the state parlour (which he entered without wiping his dirty boots), he demanded of me a gold coin, and while i was looking for it, he produced from his breast pocket a green silk handkerchief, in which were folded up five medals, the gold of which was infinitely superior to that of my gold piece." here follows the inscriptions on the medals. "i was filled with admiration, and asked my visitor whence he had obtained that wonderful knowledge of the whole world. he replied that it was a gift freely bestowed on him by a friend who had stayed a few days at his house." here follows the stranger's account of this friend's experiments. "when my strange visitor had concluded his narrative, i besought him to give me a proof of his assertion, by performing the transmutatory operation on some metals in my presence. he answered evasively, that he could not do so then, but that he would return in three weeks, and that, if he was then at liberty to do so, he would show me something that would make me open my eyes. he appeared punctually to the promised day, and invited me to take a walk with him, in the course of which we discoursed profoundly on the secrets of nature in fire, though i noticed that my companion was very chary in imparting information about the grand arcanum.... at last i asked him point blank to show me the transmutation of metals. i besought him to come and dine with me, and to spend the night at my house; i entreated; i expostulated; but in vain. he remained firm. i reminded him of his promise. he retorted that his promise had been conditional upon his being permitted to reveal the secret to me. at last, however, i prevailed upon him to give me a piece of his precious stone--a piece no larger than a grain of rape seed.... he bid me take half an ounce of lead ... and melt it in the crucible; for the medicine would certainly not tinge more of the base metal than it was sufficient for.... he promised to return at nine o'clock the next morning.... but at the stated hour on the following day he did not make his appearance; in his stead, however, there came, a few hours later, a stranger, who told me that his friend the artist was unavoidably detained, but that he would call at three o'clock in the afternoon. the afternoon came; i waited for him till half-past seven o'clock. he did not appear. thereupon my wife came and tempted me to try the transmutation myself. i determined however to wait till the morrow. on the morrow ... i asked my wife to put the tincture in wax, and i myself ... prepared six drachms of lead; i then cast the tincture, enveloped as it was in wax, on the lead; as soon as it was melted, there was a hissing sound and a slight effervescence, and after a quarter of an hour i found that the whole mass of lead had been turned into the finest gold.... we immediately took it to the goldsmith, who at once declared it the finest gold he had ever seen, and offered to pay fifty florins an ounce for it." he then describes various tests which were made to prove the purity of the gold. "thus i have unfolded to you the whole story from beginning to end. the gold i still retain in my possession, but i cannot tell you what has become of the artist elias." chapter vi. alchemy as an experimental art. a modern writer, mr a.e. waite, in his _lives of the alchemystical philosophers_, says: "the physical theory of transmutation is based on the composite character of the metals, on their generation in the bowels of the earth, and on the existence in nature of a pure and penetrating matter which applied to any substance exalts and perfects it after its own kind." it must he admitted that the alchemists could cite many instances of transmutations which seemed to lead to the conclusion, that there is no difference of kind between the metals and other substances such as water, acids, oils, resins, and wood. we are able to-day to effect a vast number of transformations wherein one substance is exchanged for another, or made to take the place of another. we can give fairly satisfactory descriptions of these changes; and, by comparing them one with another, we are able to express their essential features in general terms which can be applied to each particular instance. the alchemists had no searching knowledge of what may be called the mechanism of such changes; they gave an explanation of them which we must call incorrect, in the present state of our knowledge. but, as hoefer says in his _histoire de la chimie_, "to jeer at [the alchemical] theory is to commit at once an anachronism and an injustice.... unless the world should finish to-morrow, no one can have the pretension to suppose that our contemporaries have said the last word of science, and nothing will remain for our descendants to discover, no errors for them to correct, no theories for them to set straight." [illustration: fig. vi. _see p. ._] [illustration: fig. vii. _see p. ._] [illustration: fig. viii. _see p. ._] what kind of experimental evidence could an alchemist furnish in support of his theory of transmutation? in answering this question, i cannot do better than give a condensed rendering of certain pages in hoefer's _histoire de la chimie_. the reader is supposed to be present at experiments conducted in the laboratory of a grand master of the sacred art in the th or th century. _experiment_.--ordinary water is boiled in an open vessel; the water is changed to a vapour which disappears, and a white powdery earth remains in the vessel. _conclusion_.--water is changed into air and earth. did we not know that ordinary water holds certain substances in solution, and that boiling water acts on the vessel wherein it is boiled, we should have no objection to urge against this conclusion. it only remained to transmute fire that the transmutation of the four elements might be completed. _experiment._--a piece of red-hot iron is placed in a bell-jar, filled with water, held over a basin containing water; the volume of the water decreases, and the air in the bell-jar takes fire when a lighted taper is brought into it. _conclusion._--water is changed into fire. that interpretation was perfectly reasonable at a time when the fact was unknown that water is composed of two gaseous substances; that one of these (oxygen) is absorbed by the iron, and the other (hydrogen) collects in the bell-jar, and ignites when brought into contact with a flame. _experiment_.--lead, or any other metal except gold or silver, is calcined in the air; the metal loses its characteristic properties, and is changed into a powdery substance, a kind of cinder or calx. when this cinder, which was said to be the result of the _death of the metal_, is heated in a crucible with some grains of wheat, one sees the metal revive, and resume its original form and properties. _conclusion._--the metal which had been destroyed is revivified by the grains of wheat and the action of fire. is this not to perform the miracle of the resurrection? no objection can he raised to this interpretation, as long as we are ignorant of the phenomena of oxidation, and the reduction of oxides by means of carbon, or organic substances rich in carbon, such as sugar, flour, seeds, etc. grains of wheat were the symbol of life, and, by extension, of the resurrection and eternal life. [illustration: fig. ix. _see p. ._] _experiment_.--ordinary lead is calcined in a cupel made of cinders or powdered bones; the lead is changed to a cinder which disappears into the cupel, and a button of silver remains. _conclusion_.--the lead has vanished; what more natural than the conclusion that it has been transformed into silver? it was not known then that all specimens of lead contain more or less silver. [illustration: fig. x. _see p. ._] _experiment._-the vapour of arsenic bleaches copper. this fact gave rise to many allegories and enigmas concerning the means of transforming copper into silver. sulphur, which acts on metals and changes many of them into black substances, was looked on as a very mysterious thing. it was with sulphur that the coagulation (solidification) of mercury was effected. _experiment_.--mercury is allowed to fall, in a fine rain, on to melted sulphur; a black substance is produced; this black substance is heated in a closed vessel, it is volatilised and transformed into a beautiful red solid. one could scarcely suppose that the black and the red substances are identical, if one did not know that they are composed of the same quantities of the same elements, sulphur and mercury. how greatly must this phenomenon have affected the imagination of the chemists of ancient times, always so ready to be affected by everything that seemed supernatural! black and red were the symbols of darkness and light, of the evil and the good principle; and the union of these two principles represented the moral order. at a later time the idea helped to establish the alchemical doctrine that sulphur and mercury are the principles of all things. _experiment._--various organic substances are analysed by heating in a distillation-apparatus; the products are, in each case, a solid residue, liquids which distil off, and certain spirits which are disengaged. the results supported the ancient theory which asserted that _earth_, _water_, _air_, and _fire_ are the four elements of the world. the solid residue represented _earth_; the liquid products of the distillation, _water_; and the spirituous substances, _air_. _fire_ was regarded sometimes as the means of purification, sometimes as the soul, or invisible part, of all substances. _experiment_.-a strong acid is poured on to copper. the metal is attacked, and at last disappears, giving place to a green liquid, as transparent as water. a thin sheet of iron is plunged into the liquid; the copper re-appears, and the iron vanishes. what more simple than to conclude that the iron has been transformed into copper? had lead, silver, or gold been used in place of copper, one would have said that the iron was transformed into lead, silver, or gold. in their search for "the pure and penetrating matter which applied to any substance exalts and perfects it after its own kind," the alchemists necessarily made many inventions, laid the foundation of many arts and manufactures, and discovered many facts of importance in the science of chemistry. the practitioners of the _sacred art_ of egypt must have been acquainted with many operations which we now class as belonging to applied chemistry; witness, their jewellery, pottery, dyes and pigments, bleaching, glass-making, working in metals and alloys, and their use of spices, essential oils, and soda in embalming, and for other purposes. during the centuries when alchemy flourished, gunpowder was invented, the art of printing was established, the compass was brought into use, the art of painting and staining glass was begun and carried to perfection, paper was made from rags, practical metallurgy advanced by leaps and bounds, many new alloys of metals came into use, glass mirrors were manufactured, and considerable advances were made in practical medicine and sanitation. [illustration: fig. xi. _see p. ._] basil valentine, who was one of the greatest alchemists of the th century, discovered many of the properties of the metal antimony, and prepared and examined many compounds of that metal; he made green vitriol from pyrites, brandy from fermented grape-juice, fulminating gold, sulphide of potash, and spirits of salt; he made and used baths of artificial mineral waters, and he prepared various metals by what are now called _wet methods_, for instance, copper, by immersing plates of iron in solutions of bluestone. he examined the air of mines, and suggested practical methods for determining whether the air in a mine was respirable. hoefer draws attention to a remarkable observation recorded by this alchemist. speaking of the "spirit of mercury," basil valentine says it is "the origin of all the metals; that spirit is nothing else than an air flying here and there without wings; it is a moving wind, which, after it has been chased from its home of vulcan (that is, fire), returns to the chaos; then it expands and passes into the region of the air from whence it had come." as hoefer remarks, this is perhaps one of the earliest accounts of the gas discovered by priestley and studied by lavoisier, the gas we now call oxygen, and recognise as of paramount importance in chemical reactions. [illustration: fig. xii. _see p. ._] besides discovering and recording many facts which have become part and parcel of the science of chemistry, the alchemists invented and used various pieces of apparatus, and conducted many operations, which are still employed in chemical laboratories. i shall reproduce illustrations of some of these processes and pieces of apparatus, and quote a few of the directions, given in a book, published in , called _the art of distillation_, by john french, dr. in physick. the method recommended by french for hermetically sealing the neck of a glass vessel is shown in fig. vi. p. . the neck of the vessel is surrounded by a tray containing burning coals; when the glass melts it is cut off by shears, and then closed by tongs, which are made hot before use. fig. vii. p. , represents a method for covering an open vessel, air-tight, with a receptacle into which a substance may be sublimed from the lower vessel. the lettering explains the method of using the apparatus. french gives very practical directions and much sound advice for conducting distillations of various kinds. the following are specimens of his directions and advice:-- "when you put water into a seething balneum wherein there are glasses let it be hot, or else thou wilt endanger the breaking of the glasses. "when thou takest any earthen, or glass vessel from the fire, expose it not to the cold aire too suddenly for fear it should break. "in all your operations diligently observe the processes which you read, and vary not a little from them, for sometimes a small mistake or neglect spoils the whole operation, and frustrates your expectations. "try not at first experiments of great cost, or great difficulty; for it will be a great discouragement to thee, and thou wilt be very apt to mistake. "if any one would enter upon the practices of chymistry, let him apply himself to some expert artist for to be instructed in the manual operation of things; for by this means he will learn more in two months, than he can by his practice and study in seven years, as also avoid much pains and cost, and redeem much time which else of necessity he will lose." fig. viii. p. , represents a common cold still, and fig. ix. p. , is a sketch of an apparatus for distilling by the aid of boiling water. the bath wherein the vessels are placed in fig. ix. was called by the alchemists _balneum mariae_, from mary the jewess, who is mentioned in the older alchemical writings, and is supposed to have invented an apparatus of this character. nothing definite is known of mary the jewess. a writer of the th century says she was initiated in the sacred art in the temple of memphis; a legend prevailed among some of the alchemists that she was the sister of moses. fig. x. p. , represents methods of distilling with an apparatus for cooling the volatile products; the lower vessel is an _alembic_, with a long neck, the upper part of which passes through a vessel containing cold water. [illustration: fig xiii. _see p. ._] fig. xi. p. , shows a _pelican_, that is a vessel wherein a liquid might be heated for a long time, and the volatile products be constantly returned to the original vessel. fig. xii. p. , represents a retort with a receiver. some of the pieces of apparatus for distilling, which are described by french, are shown in the following figures. besides describing apparatus for distilling, subliming, and other processes in the laboratory, french gives directions for making tinctures, essences, essential oils, spirits of salt, and pure saltpetre, oil of vitriol, butter of antimony, calces (or as we now say, oxides) of metals, and many other substances. he describes processes for making fresh water from salt, artificial mineral water, medicated hot baths for invalids (one of the figures represents an apparatus very like those advertised to-day as "turkish baths at home"), and artificial precious stones; he tells how to test minerals, and make alloys, and describes the preparation of many substances made from gold and silver. he also gives many curious receipts; for instance, "to make firre-trees appear in turpentine," "to make a plant grow in two or three hours," "to make the representation of the whole world in a glass," "to extract a white milkie substance from the raies of the moon." [illustration: fig. xiv. _see p. ._] the process of making oil of vitriol, by burning sulphur under a hood fitted with a side tube for the outflow of the oil of vitriol, is represented in fig. xiii. p. . fig. xiv. p. , is interesting; it is an apparatus for rectifying spirits, by distilling, and liquefying only the most volatile portions of the distillate. the spirituous liquor was heated, and the vapours caused to traverse a long zigzag tube, wherein the less volatile portions condensed to liquid, which flowed back into the vessel; the vapour then passed into another vessel, and then through a second zigzag tube, and was finally cooled by water, and the condensed liquid collected. this apparatus was the forerunner of that used to-day, for effecting the separation of liquids which boil at different temperatures, by the process called _fractional distillation_. we should never forget that the alchemists were patient and laborious workers, their theories were vitally connected with their practice, and there was a constant action and reaction between their general scheme of things and many branches of what we now call chemical manufactures. we may laugh at many of their theories, and regret that much useless material was accumulated by them; we may agree with boyle (end of th century) when he likens the "hermetick philosophers," in their search for truth, to "the navigators of solomon's tarshish fleet, who brought home from their long and tedious voyages, not only gold, and silver, and ivory, but apes and peacocks too; for so the writings of several of your hermetick philosophers present us, together with divers substantial and noble experiments, theories, which either like peacocks' feathers make a great show but are neither solid nor useful; or else like apes, if they have some appearance of being rational, are blemished with some absurdity or other, that, when they are attentively considered make them appear ridiculous." but however we may condemn their method, because it rested on their own conception of what the order of nature must be, we cannot but praise their assiduity in conducting experiments and gathering facts. as bacon says, in _de augmentis scientiarum_: "alchemy may be compared to the man who told his sons that he had left them gold buried somewhere in his vineyard; where they by digging found no gold, but by turning up the mould about the roots of the vines, procured a plentiful vintage. so the search and endeavours to make gold have brought many useful inventions and instructive experiments to light." chapter vii. the language of alchemy the vagueness of the general conceptions of alchemy, and the attribution of ethical qualities to material things by the alchemists, necessarily led to the employment of a language which is inexact, undescriptive, and unsuggestive to modern ears. the same name was given to different things, and the same thing went under many names. in chapter iv. i endeavoured to analyse two terms which were constantly used by the alchemists to convey ideas of great importance, the terms _element_ and _principle_. that attempt sufficed, at any rate, to show the vagueness of the ideas which these terms were intended to express, and to make evident the inconsistencies between the meanings given to the words by different alchemical writers. the story quoted in chapter iii., from michael sendivogius, illustrates the difficulty which the alchemists themselves had in understanding what they meant by the term _mercury_; yet there is perhaps no word more often used by them than that. some of them evidently took it to mean the substance then, and now, called mercury; the results of this literal interpretation were disastrous; others thought of mercury as a substance which could be obtained, or, at any rate, might be obtained, by repeatedly distilling ordinary mercury, both alone and when mixed with other substances; others used the word to mean a hypothetical something which was liquid but did not wet things, limpid yet capable of becoming solid, volatile yet able to prevent the volatilisation of other things, and white, yet ready to cause other white things to change their colour; they thought of this something, this soul of mercury, as having properties without itself being tangible, as at once a substance and not a substance, at once a bodily spirit and a spiritual body. it was impossible to express the alchemical ideas in any language save that of far-fetched allegory. the alchemical writings abound in such allegories. here are two of them. the first allegory is taken from _the twelve keys_, of basilius valentinus, the benedictine:-- "the eleventh key to the knowledge of the augmentation of our stone i will put before you in the form of a parable. "there lived in the east a gilded knight, named orpheus, who was possessed of immense wealth, and had everything that heart can wish. he had taken to wife his own sister, euridice, who did not, however, bear him any children. this he regarded as the punishment of his sin in having wedded his own sister, and was instant in prayer to god both by day and by night, that the curse might be taken from him. one night when he was buried in a deep sleep, there came to him a certain winged messenger, named phoebus, who touched his feet, which were very hot, and said: 'thou noble knight, since thou hast wandered through many cities and kingdoms and suffered many things at sea, in battle, and in the lists, the heavenly father has bidden me make known to thee the following means of obtaining thy prayer: take blood from thy right side, and from the left side of thy spouse. for this blood is the heart's blood of your parents, and though it may seem to be of two kinds, yet, in reality, it is only one. mix the two kinds of blood, and keep the mixture tightly enclosed in the globe of the seven wise masters. then that which is generated will be nourished with its own flesh and blood, and will complete its course of development when the moon has changed for the eighth time. if thou repeat this process again and again, thou shalt see children's children, and the offspring of thy body shall fill the world.' when phoebus had thus spoken, he winged his flight heavenward. in the morning the knight arose and did the bidding of the celestial messenger, and god gave to him and to his wife many children, who inherited their father's glory, wealth, and knightly honours from generation to generation." in the "dedicatory epistle" to his _triumphal chariot of antimony_, basil valentine addresses his brother alchemists as follows:-- "mercury appeared to me in a dream, and brought me back from my devious courses to the one way. 'behold me clad not in the garb of the vulgar, but in the philosopher's mantle.' so he said, and straightway began to leap along the road in headlong bounds. then, when he was tired, he sat down, and, turning to me, who had followed him in the spirit, bade me mark that he no longer possessed that youthful vigour with which he would at the first have overcome every obstacle, if he had not been allowed a free course. encouraged by his friendly salutation, i addressed him in the following terms: 'mercury, eloquent scion of atlas, and father of all alchemists, since thou hast guided me hitherto, shew me, i pray thee, the way to those blessed isles, which thou hast promised to reveal to all thine elect children. 'dost thou remember,' he replied, that when i quitted thy laboratory, i left behind me a garment so thoroughly saturated with my own blood, that neither the wind could efface it, nor all-devouring time destroy its indelible essence? fetch it hither to me, that i may not catch a chill from the state of perspiration in which i now am; but let me clothe myself warmly in it, and be closely incited thereto, so that i may safely reach my bride, who is sick with love. she has meekly borne many wrongs, being driven through water and fire, and compelled to ascend and descend times without number--yet has she been carried through it all by the hope of entering with me the bridal chamber, wherein we expect to beget a son adorned from his birth with the royal crown which he may not share with others. yet may he bring his friends to the palace, where sits enthroned the king of kings, who communicates his dignity readily and liberally to all that approach him.' "i brought him the garment, and it fitted him so closely, that it looked like an iron skin securing him against all the assaults of vulcan. 'let us proceed,' he then said, and straightway sped across the open field, while i boldly strove to keep up with my guide. "thus we reached his bride, whose virtue and constancy were equal to his own. there i beheld their marvellous conjugal union and nuptial consummation, whence was born the son crowned with the royal diadem. when i was about to salute him as king of kings and lord of lords, my genius stood by me and warned me not to be deceived, since this was only the king's forerunner, but not the king himself whom i sought. "when i heard the admonition, i did not know whether to be sad or joyful. 'depart,' then said mercury, 'with this bridal gift, and when you come to those disciples who have seen the lord himself, show them this sign.' and therewith he gave me a gold ring from his son's finger. 'they know the golden branch which must be consecrated to proserpina before you can enter the palace of pluto. when he sees this ring, perhaps one will open to you with a word the door of that chamber, where sits enthroned in his magnificence the desire of all nations, who is known only to the sages.' "when he had thus spoken, the vision vanished, but the bridal gift which i still held in my hand shewed me that it had not been a mere dream. it was of gold, but to me more precious than the most prized of all metals. unto you i will shew it when i am permitted to see your faces, and to converse with you freely. till that earnestly wished-for time, i bid you farewell." one result of the alchemical modes of expression was, that he who tried to follow the directions given in alchemical books got into dire confusion. he did not know what substances to use in his operations; for when he was told to employ "the homogeneous water of gold," for example, the expression might mean anything, and in despair he distilled, and calcined, and cohobated, and tried to decompose everything he could lay hands on. those who pretended to know abused and vilified those who differed from them. in _a demonstration of nature_, by john a. mehung ( th century), nature addresses the alchemical worker in the following words:-- "you break vials, and consume coals, only to soften your brains still more with the vapours. you also digest alum, salt, orpiment, and altrament; you melt metals, build small and large furnaces, and use many vessels; nevertheless i am sick of your folly, and you suffocate me with your sulphurous smoke.... you would do better to mind your own business, than to dissolve and distil so many absurd substances, and then to pass them through alembics, cucurbits, stills, and pelicans." henry madathanas, writing in , says:-- "then i understood that their purgations, sublimations, cementations, distillations, rectifications, circulations, putrefactions, conjunctions, calcinations, incinerations, mortifications, revivifications, as also their tripods, athanors, reverberatory alembics, excrements of horses, ashes, sand, stills, pelican-viols, retorts, fixations, etc., are mere plausible impostures and frauds." the author of _the only way_ ( ) says: "surely every true artist must look on this elaborate tissue of baseless operations as the merest folly, and can only wonder that the eyes of those silly dupes are not at last opened, that they may see something besides such absurd sophisms, and read something besides those stupid and deceitful books.... i can speak from bitter experience, for i, too, toiled for many years ... and endeavoured to reach the coveted goal by sublimation, distillation, calcination, circulation, and so forth, and to fashion the stone out of substances such as urine, salt, atrament, alum, etc. i have tried hard to evolve it out of hairs, wine, eggs, bones, and all manner of herbs; out of arsenic, mercury, and sulphur, and all the minerals and metals.... i have spent nights and days in dissolving, coagulating, amalgamating, and precipitating. yet from all these things i derived neither profit nor joy." another writer speaks of many would-be alchemists as "floundering about in a sea of specious book-learning." if alchemists could speak of their own processes and materials as those authors spoke whom i have quoted, we must expect that the alchemical language would appear mere jargon to the uninitiated. in ben jonson's play _the alchemist_, _surley_, who is the sceptic of the piece, says to subtle, who is the alchemist-- ... alchemy is a pretty kind of game, somewhat like tricks o' the cards, to cheat a man with charming ... what else are all your terms, whereon no one of your writers 'grees with other? of your elixir, your _lac virginis_, your stone, your med'cine, and your chrysosperme, your sal, your sulphur, and your mercury, your oil of height, your tree of life, your blood, your marchesite, your tutie, your magnesia, your toad, your crow, your dragon, and your panther; your sun, your moon, your firmament, your adrop, your lato, azoch, zernich, chibrit, heutarit, and then your red man, and your white woman, with all your broths, your menstrues, and materials, of lye and egg-shells, women's terms, man's blood, hair o' the head, burnt clout, chalk, merds, and clay, powder of bones, scalings of iron, glass, and moulds of other strange ingredients, would burst a man to name? to which _subtle_ answers, and all these named intending but one thing; which art our writers used to obscure their art. was not all the knowledge of the egyptians writ in mystic symbols? speak not the scriptures oft in parables? are not the choicest fables of the poets, that were the fountains and first springs of wisdom, wrapp'd in perplexed allegories? the alchemists were very fond of using the names of animals as symbols of certain mineral substances, and of representing operations in the laboratory by what may be called animal allegories. the _yellow lion_ was the alchemical symbol of yellow sulphides, the _red lion_ was synonymous with cinnabar, and the _green lion_ meant salts of iron and of copper. black sulphides were called _eagles_, and sometimes _crows_. when black sulphide of mercury is strongly heated, a red sublimate is obtained, which has the same composition as the black compound; if the temperature is not kept very high, but little of the red sulphide is produced; the alchemists directed to urge the fire, "else the black crows will go back to the nest." [illustration: a salamander lives in the fire, which imparts to it a most glorious hue. this is the reiteration, gradation, and amelioration of the tincture, or philosopher's stone; and the whole is called its augmentation. fig. xv.] the salamander was called the king of animals, because it was supposed that he lived and delighted in fire; keeping a strong fire alight under a salamander was sometimes compared to the purification of gold by heating it. fig. xv., reduced from _the book of lambspring_ represents this process. the alchemists employed many signs, or shorthand expressions, in place of writing the names of substances. the following are a few of the signs which were used frequently. [symbol: saturn] saturn, also lead; [symbol: jupiter] jupiter, also tin; [symbol: mars- ] and [symbol: mars- ] mars, also iron; [symbol: sun] sol, also gold; [symbol: venus] venus, also copper; [symbol: mercury- ], [symbol: mercury- ] and [symbol: mercury- ] mercury; [symbol: moon] luna, also silver; [symbol: sulphur] sulphur; [symbol: vitriol] vitriol; [symbol: fire] fire; [symbol: air] air; [symbol: water] and [symbol: aquarius] water; [symbol: earth] earth; [symbol: aqua fortis] aqua fortis; [symbol: aqua regis] aqua regis; [symbol: aqua vitæ] aqua vitæ; [symbol: day] day; [symbol: night] night; [symbol: amalgam] amalgam; [symbol: alembic] alembic. chapter viii. the degeneracy of alchemy. i have tried to show that alchemy aimed at giving experimental proof of a certain theory of the whole system of nature, including humanity. the practical culmination of the alchemical quest presented a threefold aspect; the alchemists sought the stone of wisdom, for by gaining that they gained the control of wealth; they sought the universal panacea, for that would give them the power of enjoying wealth and life; they sought the soul of the world, for thereby they could hold communion with spiritual existences, and enjoy the fruition of spiritual life. the object of their search was to satisfy their material needs, their intellectual capacities, and their spiritual yearnings. the alchemists of the nobler sort always made the first of these objects subsidiary to the other two; they gave as their reason for desiring to make gold, the hope that gold might become so common that it would cease to be sought after by mankind. the author of _an open substance_ says: "would to god ... all men might become adepts in our art, for then gold, the common idol of mankind, would lose its value, and we should prize it only for its scientific teaching." but the desire to make gold must always have been a very powerful incentive in determining men to attempt the laborious discipline of alchemy; and with them, as with all men, the love of money was the root of much evil. when a man became a student of alchemy merely for the purpose of making gold, and failed to make it--as he always did--it was very easy for him to pretend he had succeeded in order that he might really make gold by cheating other people. such a man rapidly degenerated into a charlatan; he used the language of alchemy to cover his frauds, and with the hope of deluding his dupes by high-sounding phrases. and, it must be admitted, alchemy lent itself admirably to imposture. it promised unlimited wealth; it encouraged the wildest dreams of the seeker after pleasure; and over these dreams it cast the glamour of great ideas, the idea of the unity of nature, and the idea of communion with other spheres of life, of calling in the help of 'inheritors of unfulfilled renown,' and so it seemed to touch to fine issues the sordidness of unblushing avarice. moreover, the working with strange ingredients and odd-fashioned instruments, and the employment of mouth-filling phrases, and scraps of occult learning which seemed to imply unutterable things, gave just that pleasing dash of would-be wickedness to the process of consulting the alchemist which acts as a fascination to many people. the earnest person felt that by using the skill and knowledge of the alchemists, for what he deemed a good purpose, he was compelling the powers of evil to work for him and his objects. it was impossible that such a system as alchemy should appear to the plain man of the middle ages, when the whole scheme of life and the universe rested on a magical basis, to be more than a kind of magic which hovered between the black magic of the sorcerer and the white magic of the church. nor is it to be wondered at that a system which lends itself to imposture so easily as alchemy did, should be thought of by the plain man of modern times as having been nothing but a machinery of fraud. it is evident from the _canon's yeoman's tale_ in chaucer, that many of those who professed to turn the base metals into gold were held in bad repute as early as the th century. the "false chanoun" persuaded the priest, who was his dupe, to send his servant for quicksilver, which he promised to make into "as good silver and as fyn, as ther is any in youre purse or myn"; he then gave the priest a "crosselet," and bid him put it on the fire, and blow the coals. while the priest was busy with the fire, this false chanoun--the foulè feend hym fecche!-- out of his bosom took a bechen cole, in which ful subtilly was maad an hole, and therinne put was of silver lemaille an ounce, and stoppéd was withouten faille the hole with wex, to kepe the lemaille in. the "false chanoun" pretended to be sorry for the priest, who was so busily blowing the fire:-- ye been right hoot, i se wel how ye swete; have heer a clooth, and wipe awey the we't. and whylès that the preest wipèd his face, this chanoun took his cole with hardè grace, and leyde it above, upon the middèward of the crosselet, and blew wel afterward. til that the colès gonnè fastè brenne. as the coal burned the silver fell into the "crosselet." then the canon said they would both go together and fetch chalk, and a pail of water, for he would pour out the silver he had made in the form of an ingot. they locked the door, and took the key with them. on returning, the canon formed the chalk into a mould, and poured the contents of the crucible into it. then he bade the priest, look what ther is, put in thin hand and grope, thow fyndè shalt ther silver, as i hope. what, devel of hellè! sholde it ellis be? shavyng of silver silver is, _parde!_ he putte his hand in, and took up a teyne of silver fyn, and glad in every veyne was this preest, when he saugh that it was so. the conclusion of the _canon's yeoman's tale_ shows that, in the th century, there was a general belief in the possibility of finding the philosopher's stone, and effecting the transmutation, although the common practitioners of the art were regarded as deceivers. a disciple of plato is supposed to ask his master to tell him the "namè of the privee stoon." plato gives him certain directions, and tells him he must use _magnasia_; the disciple asks-- 'what is magnasia, good sire, i yow preye?' 'it is a water that is maad, i seye, of elementés fourè,' quod plato. 'telle me the rootè, good sire,' quod he tho, of that water, if it be yourè wille.' 'nay, nay,' quod plato, 'certein that i nylle; the philosophres sworn were everychoon that they sholden discovers it unto noon, ne in no book it write in no manere, for unto crist it is so lief and deere, that he wol nat that it discovered bee, but where it liketh to his deitee man for tenspire, and eek for to deffende whom that hym liketh; lo, this is the ende.' the belief in the possibility of alchemy seems to have been general sometime before chaucer wrote; but that belief was accompanied by the conviction that alchemy was an impious pursuit, because the transmutation of baser metals into gold was regarded as trenching on the prerogative of the creator, to whom alone this power rightfully belonged. in his _inferno_ (which was probably written about the year ), dante places the alchemists in the eighth circle of hell, not apparently because they were fraudulent impostors, but because, as one of them says, "i aped creative nature by my subtle art." in later times, some of those who pretended to have the secret and to perform great wonders by the use of it, became rich and celebrated, and were much sought after. the most distinguished of these pseudo-alchemists was he who passed under the name of cagliostro. his life bears witness to the eagerness of human beings to be deceived. joseph balsamo was born in at palermo, where his parents were tradespeople in a good way of business.[ ] in the memoir of himself, which he wrote in prison, balsamo seeks to surround his birth and parentage with mystery; he says, "i am ignorant, not only of my birthplace, but even of the parents who bore me.... my earliest infancy was passed in the town of medina, in arabia, where i was brought up under the name of acharat." [ ] the account of the life of cagliostro is much condensed from mr a.e. waite's _lives of the alchemystical philosophers_. when he was thirteen years of age, balsamo's parents determined he should be trained for the priesthood, but he ran away from his school. he was then confined in a benedictine monastery. he showed a remarkable taste for natural history, and acquired considerable knowledge of the use of drugs; but he soon tired of the discipline and escaped. for some years he wandered about in different parts of italy, living by his wits and by cheating. a goldsmith consulted him about a hidden treasure; he pretended to invoke the aid of spirits, frightened the goldsmith, got sixty ounces of gold from him to carry on his incantations, left him in the lurch, and fled to messina. in that town he discovered an aged aunt who was sick; the aunt died, and left her money to the church. balsamo assumed her family name, added a title of nobility, and was known henceforward as the count alessandro cagliostro. in messina he met a mysterious person whom he calls altotas, and from whom, he says in his memoir, he learnt much. the following account of the meeting of balsamo and the stranger is taken from waite's book: "as he was promenading one day near the jetty at the extremity of the port he encountered an individual singularly habited and possessed of a most remarkable countenance. this person, aged apparently about fifty years, seemed to be an armenian, though, according to other accounts, he was a spaniard or greek. he wore a species of caftan, a silk bonnet, and the extremities of his breeches were concealed in a pair of wide boots. in his left hand he held a parasol, and in his right the end of a cord, to which was attached a graceful albanian greyhound.... cagliostro saluted this grotesque being, who bowed slightly, but with satisfied dignity. 'you do not reside in messina, signor?' he said in sicilian, but with a marked foreign accent. cagliostro replied that he was tarrying for a few days, and they began to converse on the beauty of the town and on its advantageous situation, a kind of oriental imagery individualising the eloquence of the stranger, whose remarks were, moreover, adroitly adorned with a few appropriate compliments." although the stranger said he received no one at his house he allowed cagliostro to visit him. after various mysterious doings the two went off to egypt, and afterwards to malta, where they performed many wonderful deeds before the grand master, who was much impressed. at malta altotas died, or, at anyrate, vanished. cagliostro then travelled for some time, and was well received by noblemen, ambassadors, and others in high position. at rome he fell in love with a young and beautiful lady, lorenza feliciani, and married her. cagliostro used his young wife as a decoy to attract rich and foolish men. he and his wife thrived for a time, and accumulated money and jewels; but a confederate betrayed them, and they fled to venice, and then wandered for several years in italy, france, and england. they seem to have made a living by the sale of lotions for the skin, and by practising skilful deceptions. about the year cagliostro began to pose as an alchemist. after another period of wandering he paid a second visit to london and founded a secret society, based on (supposed) egyptian rites, mingled with those of freemasonry. the suggestion of this society is said to have come from a curious book he picked up on a second-hand stall in london. the society attracted people by the strangeness of its initiatory rites, and the promises of happiness and wellbeing made by its founder to those who joined it. lodges were established in many countries, many disciples were obtained, great riches were amassed, and cagliostro flourished exceedingly. in his _histoire du merveilleux dans les temps modernes_, figuier, speaking of cagliostro about this period of his career, says: "he proclaimed himself the bearer of the mysteries of isis and anubis from the far east.... he obtained numerous and distinguished followers, who on one occasion assembled in great force to hear joseph balsamo expound to them the doctrines of egyptian freemasonry. at this solemn convention he is said to have spoken with overpowering eloquence;... his audience departed in amazement and completely converted to the regenerated and purified masonry. none doubted that he was an initiate of the arcana of nature, as preserved in the temple of apis at the era when cambyses belaboured that capricious divinity. from this moment the initiations into the new masonry were numerous, albeit they were limited to the aristocracy of society. there are reasons to believe that the grandees who were deemed worthy of admission paid exceedingly extravagantly for the honour." cagliostro posed as a physician, and claimed the power of curing diseases simply by the laying on of hands. he went so far as to assert he had restored to life the dead child of a nobleman in paris; the discovery that the miracle was effected by substituting a living child for the dead one caused him to flee, laden with spoil, to warsaw, and then to strassburg. cagliostro entered strassburg in state, amid an admiring crowd, who regarded him as more than human. rumour said he had amassed vast riches by the transmutation of base metals into gold. some people in the crowd said he was the wandering jew, others that he had been present at the marriage feast of cana, some asserted he was born before the deluge, and one supposed he might be the devil. the goldsmith whom he had cheated of sixty ounces of gold many years before was in the crowd, and, recognising him, tried to stop the carriage, shouting: "joseph balsamo! it is joseph! rogue, where are my sixty ounces of gold?" "cagliostro scarcely deigned to glance at the furious goldsmith; but in the middle of the profound silence which the incident occasioned among the crowd, a voice, apparently in the clouds, uttered with great distinctness the following words: 'remove this lunatic, who is possessed by infernal spirits.' some of the spectators fell on their knees, others seized the unfortunate goldsmith, and the brilliant cortege passed on" (waite). from strassburg cagliostro* went to paris, where he lived in great splendour, curing diseases, making gold and diamonds, mystifying and duping people of all ranks by the splendid ritual and gorgeous feasting of his secret society, and amassing riches. he got entangled in the affair of the diamond necklace, and left paris. trying to advance his society in italy he was arrested by the agents of the inquisition, and imprisoned, then tried, and condemned to death. the sentence was commuted to perpetual imprisonment. after two years in the prison of san angelo he died at the age of fifty. *transcriber's note: original "cagliosto". chapter ix. paracelsus and some other alchemists. the accounts which have come to us of the men who followed the pursuit of the _one thing_ are vague, scrappy, and confusing. alchemical books abound in quotations from the writings of _geber_. five hundred treatises were attributed to this man during the middle ages, yet we have no certain knowledge of his name, or of the time or place of his birth. hoefer says he probably lived in the middle of the th century, was a native of mesopotamia, and was named _djabar al-konfi_. waite calls him _abou moussah djafar al-sofi_. some of the mediæval adepts spoke of him as the king of india, others called him a prince of persia. most of the arabian writers on alchemy and medicine, after the th century, refer to geber as their master. all the mss. of writings attributed to geber which have been examined are in latin, but the library of leyden is said to possess some works by him written in arabic. these mss. contain directions for preparing many metals, salts, acids, oils, etc., and for performing such operations as distillation, cupellation, dissolution, calcination, and the like. of the other arabian alchemists, the most celebrated in the middle ages were _rhasis_, _alfarabi_, and _avicenna_, who are supposed to have lived in the th and th centuries. the following story of alfarabi's powers is taken from waite's _lives of the alchemystical philosophers_:-- "alfarabi was returning from a pilgrimage to mecca, when, passing through syria, he stopped at the court of the sultan, and entered his presence, while he was surrounded by numerous sage persons, who were discoursing with the monarch on the sciences. alfarabi ... presented himself in his travelling attire, and when the sultan desired he should be seated, with astonishing philosophical freedom he planted himself at the end of the royal sofa. the prince, aghast at his boldness, called one of his officers, and in a tongue generally unknown commanded him to eject the intruder. the philosopher, however, promptly made answer in the same tongue: 'oh, lord, he who acts hastily is liable to hasty repentance.' the prince was equally astounded to find himself understood by the stranger as by the manner in which the reply was given. anxious to know more of his guest he began to question him, and soon discovered that he was acquainted with seventy languages. problems for discussion were then propounded to the philosophers, who had witnessed the discourteous intrusion with considerable indignation and disgust, but alfarabi disputed with so much eloquence and vivacity that he reduced all the doctors to silence, and they began writing down his discourse. the sultan then ordered his musicians to perform for the diversion of the company. when they struck up, the philosopher accompanied them on a lute with such infinite grace and tenderness that he elicited the unmeasured admiration of the whole distinguished assembly. at the request of the sultan he produced a piece of his own composing, sang it, and accompanied it with great force and spirit to the delight of all his hearers. the air was so sprightly that even the gravest philosopher could not resist dancing, but by another tune he as easily melted them to tears, and then by a soft unobtrusive melody he lulled the whole company to sleep." the most remarkable of the alchemists was he who is generally known as _paracelsus_. he was born about , and died about . it is probable that the place of his birth was einsiedeln, near zurich. he claimed relationship with the noble family of bombast von hohenheim; but some of his biographers doubt whether he really was connected with that family. his name, or at any rate the name by which he was known, was aureolus philippus theophrastus bombast von hohenheim. his father in alchemy, trimethius, abbot of spannheim and then of wurzburg, who was a theologian, a poet, an astronomer, and a necromancer, named him _paracelsus_; this name is taken by some to be a kind of græco-latin paraphrase of von hohenheim (of high lineage), and to mean "belonging to a lofty place"; others say it signifies "greater than celsus," who was a celebrated latin writer on medicine of the st century. paracelsus studied at the university of basle; but, getting into trouble with the authorities, he left the university, and for some years wandered over europe, supporting himself, according to one account, by "psalm-singing, astrological productions, chiromantic soothsaying, and, it has been said, by necromantic practices." he may have got as far as constantinople; as a rumour floated about that he received the stone of wisdom from an adept in that city. he returned to basle, and in delivered lectures with the sanction of the rector of the university. he made enemies of the physicians by abusing their custom of seeking knowledge only from ancient writers and not from nature; he annoyed the apothecaries by calling their tinctures, decoctions, and extracts, mere _soup-messes_; and he roused the ire of all learned people by delivering his lectures in german. he was attacked publicly and also anonymously. of the pamphlets published against him he said, "these vile ribaldries would raise the ire of a turtle-dove." and paracelsus was no turtle-dove. the following extract from (a translation of) the preface to _the book concerning the tinctures of the philosophers written against those sophists born since the deluge_, shews that his style of writing was abusive, and his opinion of himself, to say the least, not very humble:-- "from the middle of this age the monarchy of all the arts has been at length derived and conferred on me, theophrastus paracelsus, prince of philosophy and medicine. for this purpose i have been chosen by god to extinguish and blot out all the phantasies of elaborate and false works, of delusive and presumptuous words, be they the words of aristotle, galen, avicenna, mesva, or the dogmas of any among their followers. my theory, proceeding as it does from the light of nature, can never, through its consistency, pass away or be changed; but in the fifty-eighth year after its millennium and a half it will then begin to flourish. the practice at the same time following upon the theory will be proved by wonderful and incredible signs, so as to be open to mechanics and common people, and they will thoroughly understand how firm and immovable is that paracelsic art against the triflings of the sophists; though meanwhile that sophistical science has to have its ineptitude propped up and fortified by papal and imperial privileges.... so then, you wormy and lousy sophist, since you deem the monarch of arcana a mere ignorant, fatuous, and prodigal quack, now, in this mid age, i determine in my present treatise to disclose the honourable course of procedure in these matters, the virtues and preparation of the celebrated tincture of the philosophers for the use and honour of all who love the truth, and in order that all who despise the true arts may be reduced to poverty." the turbulent and restless spirit of paracelsus brought him into open conflict with the authorities of basle. he fled from that town in , and after many wanderings, he found rest at salzburg, under the protection of the archbishop. he died at salzburg in , in his forty-eighth year. the character and abilities of paracelsus have been vastly praised by some, and inordinately abused by others. one author says of him: "he lived like a pig, looked like a drover, found his greatest enjoyment in the company of the most dissolute and lowest rabble, and throughout his glorious life he was generally drunk." another author says: "probably no physician has grasped his life's task with a purer enthusiasm, or devoted himself more faithfully to it, or more fully maintained the moral worthiness of his calling than did the reformer of einsiedeln." he certainly seems to have been loved and respected by his pupils and followers, for he is referred to by them as "the noble and beloved monarch," "the german hemes," and "our dear preceptor and king of arts." there seems no doubt that paracelsus discovered many facts which became of great importance in chemistry: he prepared the inflammable gas we now call hydrogen, by the reaction between iron filings and oil of vitriol; he distinguished metals from substances which had been classed with metals but lacked the essential metalline character of ductility; he made medicinal preparations of mercury, lead and iron, and introduced many new and powerful drugs, notably laudanum. paracelsus insisted that medicine is a branch of chemistry, and that the restoration of the body of a patient to a condition of chemical equilibrium is the restoration to health. paracelsus trusted in his method; he was endeavouring to substitute direct appeal to nature for appeal to the authority of writers about nature. "after me," he cries, "you avicenna, galen, rhasis, montagnana and the others. you after me, not i after you. you of paris, you of montpellier, you of swabia, of meissen and vienna; you who come from the countries along the danube and the rhine; and you, too, from the islands of the ocean. follow me. it is not for me to follow you, for mine is the monarchy." but the work was too arduous, the struggle too unequal. "with few appliances, with no accurate knowledge, with no help from the work of others, without polished and sharpened weapons, and without the skill that comes from long handling of instruments of precision, what could paracelsus effect in his struggle to wrest her secrets from nature? of necessity, he grew weary of the task, and tried to construct a universe which should be simpler than that most complex order which refused to yield to his analysis." and so he came back to the universe which man constructs for himself, and exclaimed-- "each man has ... all the wisdom and power of the world in himself; he possesses one kind of knowledge as much as another, and he who does not find that which is in him cannot truly say that he does not possess it, but only that he was not capable of successfully seeking for it." we leave a great genius, with his own words in our ears: "have no care of my misery, reader; let me bear my burden myself. i have two failings: my poverty and my piety. my poverty was thrown in my face by a burgomaster who had perhaps only seen doctors attired in silken robes, never basking in tattered rags in the sunshine. so it was decreed i was not a doctor. for my piety i am arraigned by the parsons, for ... i do not at all love those who teach what they do not themselves practise." chapter x. summary of the alchemical doctrine.--the replacement of the three principles of the alchemists by the single principle of phlogiston. the _sacred art_, which had its origin and home in egypt, was very definitely associated with the religious rites, and the theological teaching, recognised by the state. the egyptian priests were initiated into the mysteries of the divine art: and as the initiated claimed to imitate the work of the deity, the priest was regarded by the ordinary people as something more than a representative, as a mirror, of the divinity. the sacred art of egypt was transmuted into alchemy by contact with european thought and handicrafts, and the tenets and mysticism of the catholic church; and the conception of nature, which was the result of this blending, prevailed from about the th until towards the end of the th century. like its predecessor, alchemy postulated an orderly universe; but alchemy was richer in fantastic details, more picturesquely embroidered, more prodigal of strange fancies, than the sacred art of egypt. the alchemist constructed his ordered scheme of nature on the basis of the supposed universality of life. for him, everything lived, and the life of things was threefold. the alchemist thought he recognised the manifestation of life in the form, or body, of a thing, in its soul, and in its spirit. things might differ much in appearance, in size, taste, smell, and other outward properties, and yet be intimately related, because, according to the alchemist, they were produced from the same principles, they were animated by the same soul. things might resemble one another closely in their outward properties and yet differ widely in essential features, because, according to the alchemist, they were formed from different elements, in their spiritual properties they were unlike. the alchemists taught that the true transformation, in alchemical language the transmutation, of one thing into another could be effected only by spiritual means acting on the spirit of the thing, because the transmutation consisted essentially in raising the substance to the highest perfection whereof it was capable; the result of this spiritual action might become apparent in the material form of the substance. in attempting to apply such vague conceptions as these, alchemy was obliged to use the language which had been developed for the expression of human emotions and desires, not only for the explanation of the facts it observed, but also for the bare recital of these facts. the outlook of alchemy on the world outside human beings was essentially anthropomorphic. in the image of man, the alchemist created his universe. in the times when alchemy was dominant, the divine scheme of creation, and the place given to man in that scheme, were supposed to be thoroughly understood. everything had its place, designed for it from the beginning, and in that place it remained unless it were forced from it by violent means. a great part of the business of experimental alchemy was to discover the natural position, or condition, of each substance; and the discovery was to be made by interpreting the facts brought to light by observation and experiment by the aid of hypotheses deduced from the general scheme of things which had been formed independently of observation or experiment. alchemy was a part of magic; for magic interprets and corrects the knowledge gained by the senses by the touchstone of generalisations which have been supplied, partly by the emotions, and partly by extra-human authority, and accepted as necessarily true. the conception of natural order which regulates the life of the savage is closely related to that which guided the alchemists. the essential features of both are the notion that everything is alive, and the persuasion that things can be radically acted on only by using life as a factor. there is also an intimate connexion between alchemy and witchcraft. witches were people who were supposed to make an unlawful use of the powers of life; alchemists were often thought to pass beyond what is permitted to the creature, and to encroach on the prerogative of the creator. the long duration of alchemy shows that it appealed to some deep-seated want of human beings. was not that want the necessity for the realisation of order in the universe? men were unwilling to wait until patient examination of the facts of their own nature, and the facts of nature outside themselves, might lead them to the realisation of the interdependence of all things. they found it easier to evolve a scheme of things from a superficial glance at themselves and their surroundings; naturally they adopted the easier plan. alchemy was a part of the plan of nature produced by this method. the extraordinary dominancy of such a scheme is testified to by the continued belief in alchemy, although the one experiment, which seems to us to be the crucial experiment of the system, was never accomplished. but it is also to be remembered that the alchemists were acquainted with, and practised, many processes which we should now describe as operations of manufacturing and technical chemistry; and the practical usefulness of these processes bore testimony, of the kind which convinces the plain man, to the justness of their theories. i have always regarded two facts as most interesting and instructive: that the doctrine of the essential unity of all things, and the simplicity of natural order, was accepted for centuries by many, i think one may say, by most men, as undoubtedly a true presentation of the divine scheme of things; and, secondly, that in more recent times people were quite as certain of the necessary truth of the doctrine, the exact opposite of the alchemical, that the creator had divided his creation into portions each of which was independent of all the others. both of these schemes were formed by the same method, by introspection preceding observation; both were overthrown by the same method, by observation and experiment proceeding hand in hand with reasoning. in each case, the humility of science vanquished the conceit of ignorance. the change from alchemy to chemistry is an admirable example of the change from a theory formed by looking inwards, and then projected on to external facts, to a theory formed by studying facts, and then thinking about them. this change proceeded slowly; it is not possible to name a time when it may be said, here alchemy finishes and chemistry begins. to adapt a saying of one of the alchemists, quoted in a former chapter; alchemy would not easily give up its nature, and fought for its life; but an agent was found strong enough to overcome and kill it, and then that agent also had the power to change the lifeless remains into a new and pure body. the agent was the accurate and imaginative investigation of facts. the first great step taken in the path which led from alchemy to chemistry was the substitution of one principle, the principle of phlogiston, for the three principles of salt, sulphur, and mercury. this step was taken by concentrating attention and investigation, by replacing the superficial examination of many diverse phenomena by the more searching study of one class of occurrences. that the field of study should be widened, it was necessary that it should first be narrowed. lead, tin, iron, or copper is calcined. the prominent and striking feature of these events is the disappearance of the metal, and the formation of something very unlike it. but the original metal is restored by a second process, which is like the first because it also is a calcination, but seems to differ from the first operation in that the burnt metal is calcined with another substance, with grains of wheat or powdered charcoal. led thereto by their theory that destruction must precede re-vivification, death must come before resurrection, the alchemists confined their attention to one feature common to all calcinations of metals, and gave a superficial description of these occurrences by classing them together as processes of mortification. sulphur, wood, wax, oil, and many other things are easily burned: the alchemists said, these things also undergo mortification, they too are killed; but, as "man can restore that which man has destroyed," it must be possible to restore to life the thing which has been mortified. the burnt sulphur, wood, wax, or oil, is not really dead, the alchemists argued; to use the allegory of paracelsus, they are like young lions which are born dead, and are brought to life by the roaring of their parents: if we make a sufficiently loud noise, if we use the proper means, we shall bring life into what seems to be dead material. as it is the roaring of the parents of the young lions which alone can cause the still-born cubs to live, so it is only by the spiritual agency of life, proceeded the alchemical argument, that life can be brought into the mortified sulphur, wood, wax, and oil. the alchemical explanation was superficial, theoretical, in the wrong meaning of that word, and unworkable. it was superficial because it overlooked the fact that the primary calcination, the mortification, of the metals, and the other substances, was effected in the air, that is to say, in contact with something different from the thing which was calcined; the explanation was of the kind which people call theoretical, when they wish to condemn an explanation and put it out of court, because it was merely a re-statement of the facts in the language of a theory which had not been deduced from the facts themselves, or from facts like those to be explained, but from what were supposed to be facts without proper investigation, and, if facts, were of a totally different kind from those to which the explanation applied; and lastly, the explanation was unworkable, because it suggested no method whereby its accuracy could be tested, no definite line of investigation which might be pursued. that great naturalist, the honourable robert boyle (born in , died in ), very perseveringly besought those who examined processes of calcination to pay heed to the action of everything which might take part in the processes. he was especially desirous they should consider what part the air might play in calcinations; he spoke of the air as a "menstruum or additament," and said that, in such operations as calcination, "we may well take the freedom to examine ... whether there intervene not a coalition of the parts of the body wrought upon with those of the menstruum, whereby the produced concrete may be judged to result from the union of both." it was by examining the part played by the air in processes of calcination and burning that men at last became able to give approximately complete descriptions of these processes. boyle recognised that the air is not a simple or elementary substance; he spoke of it as "a confused aggregate of effluviums from such differing bodies, that, though they all agree in constituting by their minuteness and various motions one great mass of fluid matter, yet perhaps there is scarce a more heterogeneous body in the world." clement of alexandria who lived in the end of the nd, and the early part of the rd, century a.d., seems to have regarded the air as playing a very important part in combustions; he said--"airs are divided into two categories; an air for the divine flame, which is the soul; and a material air which is the nourisher of sensible fire, and the basis of combustible matter." sentences like that i have just quoted are found here and there in the writings of the earlier and later alchemists; now and again we also find statements which may be interpreted, in the light of the fuller knowledge we now have, as indicating at least suspicions that the atmosphere is a mixture of different kinds of air, and that only some of these take part in calcining and burning operations. those suspicions were confirmed by experiments on the calcination of metals and other substances, conducted in the th century by jean rey a french physician, and by john mayow of oxford. but these observations and the conclusions founded on them, did not bear much fruit until the time of lavoisier, that is, towards the close of the th century. they were overshadowed and put aside by the work of stahl ( - ). some of the alchemists of the th, th and th centuries taught that combustion and calcination are processes wherein _the igneous principle_ is destroyed, using the word "destroyed" in its alchemical meaning. this description of processes of burning was much more in keeping with the ideas of the time than that given by boyle, rey and mayow. it was adopted by stahl, and made the basis of a general theory of those changes wherein one substance disappears and another, or others, very unlike it, are produced. that he might bring into one point of view, and compare the various changes effected by the agency of fire, stahl invented a new principle, which he named _phlogiston_, and constructed an hypothesis which is generally known as the phlogistic theory. he explained, and applied, this hypothesis in various books, especially in one published at halle in . stahl observed that many substances which differed much from one another in various respects were alike in one respect; they were all combustible. all the combustible substances, he argued, must contain a common principle; he named this supposed principle, _phlogiston_ (from the greek word _phlogistos_ = burnt, or set on fire). stahl said that the phlogiston of a combustible thing escapes as the substance burns, and, becoming apparent to the senses, is named fire or flame. the phlogiston in a combustible substance was supposed to be so intimately associated with something else that our senses cannot perceive it; nevertheless, the theory said, it is there; we can see only the escaping phlogiston, we can perceive only the phlogiston which is set free from its combination with other things. the theory thought of phlogiston as imprisoned in the thing which can be burnt, and as itself forming part of the prison; that the prisoner should be set free, the walls of the prison had to be removed; the freeing of the prisoner destroyed the prison. as escaping, or free, phlogiston was called fire, or flame, so the phlogiston in a combustible substance was sometimes called combined fire, or flame in the state of combination. a peculiarity of the strange thing called phlogiston was that it preferred to be concealed in something, hidden, imprisoned, combined; free phlogiston* was supposed to be always ready to become combined phlogiston. *transcriber's note: original "phlogstion". the phlogistic theory said that what remains when a substance has been burnt is the original substance deprived of phlogiston; and, therefore, to restore the phlogiston to the product of burning is to re-form the combustible substance. but how is such a restoration of phlogiston to be accomplished? evidently by heating the burnt thing with something which is very ready to burn. because, according to the theory, everything which can be burnt contains phlogiston, the more ready a substance is to burn the richer it is in phlogiston; burning is the outrush of phlogiston, phlogiston prefers to be combined with something; therefore, if you mix what remains after burning, with something which is very combustible, and heat the mixture, you are bringing the burnt matter under conditions which are very favourable for the reception of phlogiston by it, for you are bringing it into intimate contact with something from which freedom-hating phlogiston is being forced to escape. charcoal, sulphur, phosphorus, oils and fats are easily burnt; these substances were, therefore, chosen for the purpose of changing things which had been burnt into things which could again be burnt; these, and a few other substances like these, were classed together, and called _phlogisticating agents_. very many of the substances which were dealt with by the experimenters of the last quarter of the th, and the first half of the th, century, were either substances which could be burned, or those which had been produced by burning; hence the phlogistic theory brought into one point of view, compared, and emphasised the similarities between, a great many things which had not been thought of as connected before that theory was promulgated. moreover, the theory asserted that all combustible, or incinerable, things are composed of phlogiston, and another principle, or, as was often said, another element, which is different in different kinds of combustible substances. the metals, for instance, were said to be composed of phlogiston and an earthy principle or element, which was somewhat different in different metals. the phlogisteans taught that the earthy principle of a metal remains in the form of ash, cinders, or calx, when the metal is calcined, or, as they expressed it, when the metal is deprived of its phlogiston. the phlogistic theory savoured of alchemy; it postulated an undefined, undefinable, intangible principle; it said that all combustible substances are formed by the union of this principle with another, which is sometimes of an earthy character, sometimes of a fatty nature, sometimes highly volatile in habit. nevertheless, the theory of stahl was a step away from purely alchemical conceptions towards the accurate description of a very important class of changes. the principle of phlogiston could be recognised by the senses as it was in the act of escaping from a substance; and the other principle of combustible things was scarcely a principle in the alchemical sense, for, in the case of metals at any rate, it remained when the things which had contained it were burnt, and could be seen, handled, and weighed. to say that metals are composed of phlogiston and an earthy substance, was to express facts in such a language that the expression might be made the basis of experimental inquiry; it was very different from the assertion that metals are produced by the spiritual actions of the three principles, salt, mercury and sulphur, the first of which is not salt, the second is not mercury, and the third is not sulphur. the followers of stahl often spoke of metals as composed of phlogiston and an _element_ of an earthy character; this expression also was an advance, from the hazy notion of _element_ in purely alchemical writings, towards accuracy and fulness of description. an element was now something which could he seen and experimented with; it was no longer a semi-spiritual existence which could not be grasped by the senses. the phlogistic theory regarded the calcination of a metal as the separation of it into two things, unlike the metal, and unlike each other; one of these things was phlogiston, the other was an earth-like residue. the theory thought of the re-formation of a metal from its calx, that is, the earthy substance which remains after combustion, as the combination of two things to produce one, apparently homogeneous, substance. metals appeared to the phlogisteans, as they appeared to the alchemists, to be composite substances. processes of burning were regarded by alchemists and phlogisteans alike, as processes of simplification. the fact had been noticed and recorded, during the middle ages, that the earth-like matter which remains when a metal is calcined is heavier than the metal itself. from this fact, modern investigators of natural phenomena would draw the conclusion, that calcination of a metal is an addition of something to the metal, not a separation of the metal into different things. it seems impossible to us that a substance should be separated into portions, and one of these parts should weigh as much as, or more than, the whole. the exact investigation of material changes called chemistry rests on the statement that _mass_, and mass is practically measured by _weight_, is the one property of what we call matter, the determination whereof enables us to decide whether a change is a combination, or coalescence, of different things, or a separation of one thing into parts. that any part of a material system can be removed without the weight of the portion which remains being less than the original weight of the whole system, is unthinkable, in the present state of our knowledge of material changes. but in the th century, and throughout most of the th, only a few of those who examined changes in the properties of substances paid heed to changes of weight; they had not realised the importance of the property of mass, as measured by weight. the convinced upholder of the phlogistic theory had two answers to the argument, that, because the earth-like product of the calcination of a metal weighs more than the metal itself, therefore the metal cannot have lost something in the process; for, if one portion of what is taken away weighs more than the metal from which it has been separated, it is evident that the weight of the two portions into which the metal is said to have been divided must be considerably greater than the weight of the undivided metal. the upholders of the theory sometimes met the argument by saying, "of course the calx weighs more than the metal, because phlogiston tends to lighten a body which contains it; and therefore the body weighs more after it has lost phlogiston than it did when the phlogiston formed part of it;" sometimes, and more often, their answer was--"loss or gain of weight is an accident, the essential thing is change of qualities." if the argument against the separation of a metal into two constituents, by calcination, were answered to-day as it was answered by the upholders of the phlogistic theory, in the middle of the th century, the answers would justly be considered inconsequent and ridiculous. but it does not follow that the statements were either far-fetched or absurd at the time they were made. they were expressed in the phraseology of the time; a phraseology, it is true, sadly lacking in consistency, clearness, and appropriateness, but the only language then available for the description of such changes as those which happen when metals are calcined. one might suppose that it must always have sounded ridiculous to say that the weight of a thing can be decreased by adding something to it, that part of a thing weighs more than the whole of it. but the absurdity disappears if it can be admitted that mass, which is measured by weight, may be a property like colour, or taste, or smell; for the colour, taste, or smell of a thing may certainly be made less by adding something else, and the colour, taste, or smell of a thing may also be increased by adding something else. if we did not know that what we call _quantity of substance_ is measured by the property named _mass_, we might very well accept the proposition that the entrance of phlogiston into a substance decreases the quantity, hence the mass, and, therefore, the weight, of the substance. although stahl and his followers were emerging from the trammels of alchemy, they were still bound by many of the conceptions of that scheme of nature. we have learned, in previous chapters, that the central idea of alchemy was expressed in the saying: "matter must be deprived of its properties in order to draw out its soul." the properties of substances are everything to the modern chemist--indeed, such words as iron, copper, water, and gold are to him merely convenient expressions for certain definable groups of properties--but the phlogisteans regarded the properties of things, including mass, as of secondary importance; they were still trying to get beneath the properties of a thing, to its hypothetical essence, or substance. looking back, we cannot think of phlogiston as a substance, or as a thing, in the modern meanings of these terms as they are used in natural science. nowadays we think, we are obliged to think, of the sum of the quantities of all the things in the universe as unchanging, and unchangeable by any agency whereof we have definite knowledge. the meaning we give to the word _thing_ rests upon the acceptance of this hypothesis. but the terms _substance_, _thing_, _properties_ were used very vaguely a couple of centuries ago; and it would be truly absurd to carry back to that time the meanings which we give to these terms to-day, and then to brand as ridiculous the attempts of the men who studied, then, the same problems which we study now, to express the results of their study in generalisations which employed the terms in question, in what seems to us a loose, vague, and inexact manner. by asserting, and to some extent experimentally proving, the existence of one principle in many apparently very different substances (or, as would be said to-day, one property common to many substances), the phlogistic theory acted as a very useful means for collecting, and placing in a favourable position for closer inspection, many substances which would probably have remained scattered and detached from one another had this theory not been constructed. a single assumption was made, that all combustible substances are alike in one respect, namely, in containing combined fire, or phlogiston; by the help of this assumption, the theory of phlogiston emphasised the fundamental similarity between all processes of combustion. the theory of phlogiston was extraordinarily simple, compared with the alchemical vagaries which preceded it. hoefer says, in his _histoire de la chimie_, "if it is true that simplicity is the distinctive character of verity, never was a theory so true as that of stahl." the phlogistic theory did more than serve as a means for bringing together many apparently disconnected facts. by concentrating the attention of the students of material changes on one class of events, and giving descriptions of these events without using either of the four alchemical elements, or the three principles, stahl, and those who followed him, did an immense service to the advancement of clear thinking about natural occurrences. the principle of phlogiston was more tangible, and more readily used, than the salt, sulphur, and mercury of the alchemists; and to accustom people to speak of the material substance which remained when a metal, or other combustible substance, was calcined or burnt, as one of the _elements_ of the thing which had been changed, prepared the way for the chemical conception of an element as a definite substance with certain definite properties. in addition to these advantages, the phlogistic theory was based on experiments, and led to experiments, the results of which proved that the capacity to undergo combustion might be conveyed to an incombustible substance, by causing it to react with some other substance, itself combustible, under definite conditions. the theory thus prepared the way for the representation of a chemical change as an interaction between definite kinds of substances, marked by precise alterations both of properties and composition. the great fault of the theory of phlogiston, considered as a general conception which brings many facts into one point of view, and leads the way to new and exact knowledge, was its looseness, its flexibility. it was very easy to make use of the theory in a broad and general way; by stretching it here, and modifying it there, it seemed to cover all the facts concerning combustion and calcination which were discovered during two generations after the publication of stahl's books. but many of the subsidiary hypotheses which were required to make the theory cover the new facts were contradictory, or at any rate seemed to be contradictory, of the primary assumptions of the theory. the addition of this ancillary machinery burdened the mechanism of the theory, threw it out of order, and finally made it unworkable. the phlogistic theory was destroyed by its own cumbersomeness. a scientific theory never lasts long if its fundamental assumptions are stated so loosely that they may be easily modified, expanded, contracted, and adjusted to meet the requirements of newly discovered facts. it is true that the theories which have been of the greatest service in science, as summaries of the relations between established facts, and suggestions of lines of investigation, have been stated in terms whose full meaning has gradually unfolded itself. but the foundations of these theories have been at once so rigidly defined and clearly stated as to be incapable of essential modification, and so full of meaning and widely applicable as to cover large classes of facts which were unknown when the theories were constructed. of the founders of the lasting and expansible theories of natural science, it may be said, that "thoughts beyond their thoughts to those high bards were given." chapter xi. the examination of the phenomena of combustion. the alchemists thought that the most effectual method of separating a complex substance into more simple substances was to subject it to the action of heat. they were constantly distilling, incinerating, subliming, heating, in order that the spirit, or inner kernel of things, might be obtained. they took for granted that the action of fire was to simplify, and that simplification proceeded whatever might be the nature of the substance which was subjected to this action. boyle insisted that the effect of heating one substance may be, and often is, essentially different from the effect of heating another substance; and that the behaviour of the same substance when heated, sometimes varies when the conditions are changed. he takes the example of heating sulphur or brimstone: "exposed to a moderate fire in subliming pots, it rises all into dry, and almost tasteless, flowers; whereas being exposed to a naked fire, it affords store of a saline and fretting liquor." boyle thought that the action of fire was not necessarily to separate a thing into its principles or elements, but, in most cases, was either to rearrange the parts of the thing, so that new, and it might be, more complex things, were produced, or to form less simple things by the union of the substance with what he called, "the matter of fire." when the product of heating a substance, for example, tin or lead, weighed more than the substance itself, boyle supposed that the gain in weight was often caused by the "matter of fire" adding itself to the substance which was heated. he commended to the investigation of philosophers this "subtil fluid," which is "able to pierce into the compact and solid bodies of metals, and add something to them that has no despicable weight upon the balance, and is able for a considerable time to continue fixed in the fire." boyle also drew attention to the possibility of action taking place between a substance which is heated and some other substance, wherewith the original thing may have been mixed. in a word, boyle showed that the alchemical assumption--fire simplifies--was too simple; and he taught, by precept and example, that the only way of discovering what the action of fire is, on this substance or on that, is to make accurate experiments. "i consider," he says, "that, generally speaking, to render a reason of an effect or phenomenon, is to deduce it from something else in nature more known than itself; and that consequently there may be divers kinds of degrees of explication of the same thing." boyle published his experiments and opinions concerning the action of fire on different substances in the seventies of the th century; stahl's books, which laid the foundation of the phlogistic theory, and confirmed the alchemical opinion that the action of fire is essentially a simplifying action, were published about forty years later. but fifty years before boyle, a french physician, named jean rey, had noticed that the calcination of a metal is the production of a more complex, from a less complex substance; and had assigned the increase in weight which accompanies that operation to the attachment of particles of the air to the metal. a few years before the publication of boyle's work, from which i have quoted, john mayow, student of oxford, recounted experiments which led to the conclusion that the air contains two substances, one of which supports combustion and the breathing of animals, while the other extinguishes fire. mayow called the active component of the atmosphere _fiery air_; but he was unable to say definitely what becomes of this fiery air when a substance is burnt, although he thought that, in some cases, it probably attaches itself to the burning substances, by which, therefore, it may be said to be fixed. mayow proved that the air wherein a substance is burnt, or an animal breathes, diminishes in volume during the burning, or the breathing. he tried, without much success, to restore to air that part of it which disappears when combustion, or respiration, proceeds in it. what happens when a substance is burnt in the air? the alchemists answered this question by asserting that the substance is separated or analysed into things simpler than itself. boyle said: the process is not necessarily a simplification; it may be, and certainly sometimes is, the formation of something more complicated than the original substance, and when this happens, the process often consists in the fixation of "the matter of fire" by the burning substance. rey said: calcination, of a metal at anyrate, probably consists in the fixation of particles of air by the substance which is calcined. mayow answered the question by asserting, on the ground of the results of his experiments, that the substance which is being calcined lays hold of a particular constituent of the air, not the air as a whole. now, it is evident that if mayow's answer was a true description of the process of calcination, or combustion, it should be possible to separate the calcined substance into two different things, one of which would be the thing which was calcined, and the other would be that constituent of the air which had united with the burning, or calcining, substance. it seems clear to us that the one method of proving the accuracy of mayow's supposition must be, to weigh a definite, combustible, substance--say, a metal; to calcine this in a measured quantity of air; to weigh the product, and to measure the quantity of air which remains; to separate the product of calcination into the original metal, and a kind of air or gas; to prove that the metal thus obtained is the same, and has the same weight, as the metal which was calcined; and to prove that the air or gas obtained from the calcined metal is the same, both in quality and quantity, as the air which disappeared in the process of calcination. this proof was not forthcoming until about a century after the publication of mayow's work. the experiments which furnished the proof were rendered possible by a notable discovery made on the st of august , by the celebrated joseph priestley. priestley prepared many "airs" of different kinds: by the actions of acids on metals, by allowing vegetables to decay, by heating beef, mutton, and other animal substances, and by other methods. he says: "having procured a lens of twelve inches diameter and twenty inches focal distance, i proceeded with great alacrity to examine, by the help of it, what kind of air a great variety of substances, natural and factitious, would yield.... with this apparatus, after a variety of other experiments.... on the st of august, , i endeavoured to extract air from _mercurius calcinatus per se_; and i presently found that, by means of this lens, air was expelled from it very readily. having got about three or four times as much as the bulk of my materials, i admitted water to it, and found that it was not imbibed by it. but what surprised me more than i can well express was, that a candle burned in this air with a remarkably vigorous flame.... i was utterly at a loss how to account for it." [illustration: fig. xvi.] the apparatus used by priestley, in his experiments on different kinds of air, is represented in fig. xvi., which is reduced from an illustration in priestley's book on _airs_. priestley had made a discovery which was destined to change alchemy into chemistry. but he did not know what his discovery meant. it was reserved for the greatest of all chemists, antoine lavoisier, to use the fact stumbled on by priestley. after some months priestley began to think it possible that the new "air" he had obtained from calcined mercury might be fit for respiration. to his surprise he found that a mouse lived in this air much longer than in common air; the new air was evidently better, or purer, than ordinary air. priestley measured what he called the "goodness" of the new air, by a process of his own devising, and concluded that it was "between four and five times as good as common air." priestley was a thorough-going phlogistean. he seems to have been able to describe the results of his experiments only in the language of the phlogistic theory; just as the results of most of the experiments made to-day on the changes of compounds of the element carbon cannot be described by chemists except by making use of the conceptions and the language of the atomic and molecular theory.[ ] [ ] i have given numerous illustrations of the truth of this statement in the book, in this series, entitled _the story of the wanderings of atoms_. the upholder of the phlogistic theory could not think of burning as possible unless there was a suitable receptacle for the phlogiston of the burning substance: when burning occurred in the air, the part played by the air, according to the phlogistic chemist, was to receive the expelled phlogiston; in this sense the air acted as the _pabulum_, or nourishment, of the burning substance. inasmuch as substances burned more vigorously and brilliantly in the new air than in common air, priestley argued that the new air was more ready, more eager, than ordinary air, to receive phlogiston; and, therefore, that the new air contained less phlogiston than ordinary air, or, perhaps, no phlogiston. arguing thus, priestley, of course, named the new aeriform substance _dephlogisticated air_, and thought of it as ordinary air deprived of some, or it might be all, of its phlogiston. the breathing of animals and the burning of substances were supposed to load the atmosphere with phlogiston. priestley spoke of the atmosphere as being constantly "vitiated," "rendered noxious," "depraved," or "corrupted" by processes of respiration and combustion; he called those processes whereby the atmosphere is restored to its original condition (or "depurated," as he said), "dephlogisticating processes." as he had obtained his _dephlogisticated air_ by heating the calx of mercury, that is the powder produced by calcining mercury in the air, priestley was forced to suppose that the calcination of mercury in the air must be a more complex occurrence than merely the expulsion of phlogiston from the mercury: for, if the process consisted only in the expulsion of phlogiston, how could heating what remained produce exceedingly pure ordinary air? it seemed necessary to suppose that not only was phlogiston expelled from mercury during calcination, but that the mercury also imbibed some portion, and that the purest portion, of the surrounding air. priestley did not, however, go so far as this; he was content to suppose that in some way, which he did not explain, the process of calcination resulted in the loss of phlogiston by the mercury, and the gain, by the dephlogisticated mercury, of the property of yielding exceedingly pure or dephlogisticated air when it was heated very strongly. priestley thought of properties in much the same way as the alchemists thought of them, as wrappings, or coverings of an essential something, from which they can be removed and around which they can again be placed. the protean principle of phlogiston was always at hand, and, by skilful management, was ready to adapt itself to any facts. before the phenomena of combustion could be described accurately, it was necessary to do two things; to ignore the theory of phlogiston, and to weigh and measure all the substances which take part in some selected processes of burning. looking back at the attempts made in the past to describe natural events, we are often inclined to exclaim, "why did investigators bind themselves with the cords of absurd theories; why did they always wear blinkers; why did they look at nature through the distorting mists rising from their own imaginations?" we are too ready to forget the tremendous difficulties which beset the path of him who is seeking accurate knowledge. "to climb steep hills requires slow pace at first." forgetting that the statements wherein the men of science of our own time describe the relations between natural events are, and must be, expressed in terms of some general conception, some theory, of these relations; forgetting that the simplest natural occurrence is so complicated that our powers of description are incapable of expressing it completely and accurately; forgetting the uselessness of disconnected facts; we are inclined to overestimate the importance of our own views of nature's ways, and to underestimate the usefulness of the views of our predecessors. moreover, as naturalists have not been obliged, in recent times, to make a complete renunciation of any comprehensive theory wherein they had lived and moved for many years, we forget the difficulties of breaking loose from a way of looking at natural events which has become almost as real as the events themselves, of abandoning a language which has expressed the most vividly realised conceptions of generations of investigators, of forming a completely new mental picture of natural occurrences, and developing a completely new language for the expression of those conceptions and these occurrences. the younger students of natural science of to-day are beginning to forget what their fathers told them of the fierce battle which had to be fought, before the upholders of the darwinian theory of the origin of species were able to convince those for whom the older view, that species are, and always have been, absolutely distinct, had become a matter of supreme scientific, and even ethical, importance. a theory which has prevailed for generations in natural science, and has been accepted and used by everyone, can be replaced by a more accurate description of the relations between natural facts, only by the determination, labour, and genius of a man of supreme power. such a service to science, and humanity, was rendered by darwin; a like service was done, more than three-quarters of a century before darwin, by lavoisier. antoine laurent lavoisier was born in paris in . his father, who was a merchant in a good position, gave his son the best education which was then possible, in physical, astronomical, botanical, and chemical science. at the age of twenty-one, lavoisier gained the prize offered by the government for devising an effective and economical method of lighting the public streets. from that time until, on the th of may , the government of the revolution declared, "the republic has no need of men of science," and the guillotine ended his life, lavoisier continued his researches in chemistry, geology, physics, and other branches of natural science, and his investigations into the most suitable methods of using the knowledge gained by naturalists for advancing the welfare of the community. in chapter vi., i said that when an alchemist boiled water in an open vessel, and obtained a white earthy solid, in place of the water which disappeared, he was producing some sort of experimental proof of the justness of his assertion that water can be changed into earth. lavoisier began his work on the transformations of matter by demonstrating that this alleged transmutation does not happen; and he did this by weighing the water, the vessel, and the earthy solid. lavoisier had constructed for him a pelican of white glass (see fig. xi., p. ), with a stopper of glass. he cleaned, dried, and weighed this vessel; then he put into it rain-water which he had distilled eight times; he heated the vessel, removing the stopper from time to time to allow the expanding air to escape, then put in the stopper, allowed the vessel to cool, and weighed very carefully. the difference between the second and the first weighing was the weight of water in the vessel. he then fastened the stopper securely with cement, and kept the apparatus at a temperature about ° or ° below that of boiling water, for a hundred and one days. at the end of that time a fine white solid had collected on the bottom of the vessel. lavoisier removed the cement from the stopper, and weighed the apparatus; the weight was the same as it had been before the heating began. he removed the stopper; air rushed in, with a hissing noise. lavoisier concluded that air had not penetrated through the apparatus during the process of heating. he then poured out the water, and the solid which had formed in the vessel, set them aside, dried, and weighed the pelican; it had lost - / grains. lavoisier concluded that the solid which had formed in the water was produced by the solvent action of the water on the glass vessel. he argued that if this conclusion was correct, the weight of the solid must be equal to the loss of weight suffered by the vessel; he therefore separated the solid from the water in which it was suspended, dried, and weighed it. the solid weighed - / grains. lavoisier's conclusion seemed to be incorrect; the weight of the solid, which was supposed to be produced by the action of the water on the vessel, was - / grains less than the weight of the material removed from the vessel. but some of the material which was removed from the vessel might have remained dissolved in the water: lavoisier distilled the water, which he had separated from the solid, in a glass vessel, until only a very little remained in the distilling apparatus; he poured this small quantity into a glass basin, and boiled until the whole of the water had disappeared as steam. there remained a white, earthy solid, the weight of which was - / grains. lavoisier had obtained - / + - / = - / grains of solid; the pelican had lost - / grains. the difference between these weights, namely, grains, was accounted for by lavoisier as due to the solvent action of the water on the glass apparatus wherein it had been distilled, and on the glass basin wherein it had been evaporated to dryness. lavoisier's experiments proved that when distilled water is heated in a glass vessel, it dissolves some of the material of the vessel, and the white, earthy solid which is obtained by boiling down the water is merely the material which has been removed from the glass vessel. his experiments also proved that the water does not undergo any change during the process; that at the end of the operation it is what it was at the beginning--water, and nothing but water. by this investigation lavoisier destroyed part of the experimental basis of alchemy, and established the one and only method by which chemical changes can be investigated; the method wherein constant use is made of the balance. lavoisier now turned his attention to the calcination of metals, and particularly the calcination of tin. boyle supposed that the increase in weight which accompanies the calcination of a metal is due to the fixation of "matter of fire" by the calcining metal; rey regarded the increase in weight as the result of the combination of the air with the metal; mayow thought that the atmosphere contains two different kinds of "airs," and one of these unites with the heated metal. lavoisier proposed to test these suppositions by calcining a weighed quantity of tin in a closed glass vessel, which had been weighed before, and should be weighed after, the calcination. if boyle's view was correct, the weight of the vessel and the tin would be greater at the end than it was at the beginning of the operation; for "matter of fire" would pass through the vessel and unite with the metal. if there was no change in the total weight of the apparatus and its contents, and if air rushed in when the vessel was opened after the calcination, and the total weight was then greater than at the beginning of the process, it would be necessary to adopt either the supposition of rey or that of mayow. lavoisier made a series of experiments. the results were these: there was no change in the total weight of the apparatus and its contents; when the vessel was opened after the calcination was finished, air rushed in, and the whole apparatus now weighed more than it did before the vessel was opened; the weight of the air which rushed in was exactly equal to the increase in the weight of the tin produced by the calcination, in other words, the weight of the inrushing air was exactly equal to the difference between the weights of the tin and the calx formed by calcining the tin. lavoisier concluded that to calcine tin is to cause it to combine with a portion of the air wherein it is calcined. the weighings he made showed that about one-fifth of the whole weight of air in the closed flask wherein he calcined tin had disappeared during the operation. other experiments led lavoisier to suspect that the portion of the air which had united with the tin was different from the portion which had not combined with that metal. he, therefore, set himself to discover whether there are different kinds of "airs" in the atmosphere, and, if there is more than one kind of "air," what is the nature of that "air" which combines with a metal in the process of calcination. he proposed to cause a metallic calx (that is, the substance formed by calcining a metal in the air) to give up the "air" which had been absorbed in its formation, and to compare this "air" with atmospheric air. about this time priestley visited paris, saw lavoisier, and told him of the new "air" he had obtained by heating calcined mercury. lavoisier saw the great importance of priestley's discovery; he repeated priestley's experiment, and concluded that the air, or gas, which he refers to in his laboratory journal as "l'air dephlogistique de m. priestley" was nothing else than the purest portion of the air we breathe. he prepared this "air" and burned various substances in it. finding that very many of the products of these combustions had the properties of acids, he gave to the new "air" the name _oxygen_, which means _the acid-producer_. at a later time, lavoisier devised and conducted an experiment which laid bare the change of composition that happens when mercury is calcined in the air. he calcined a weighed quantity of mercury for many days in a measured volume of air, in an apparatus arranged so that he was able to determine how much of the air disappeared during the process; he collected and weighed the red solid which formed on the surface of the heated mercury; finally he heated this red solid to a high temperature, collected and measured the gas which was given off, and weighed the mercury which was produced. the sum of the weights of the mercury and the gas which were produced by heating the calcined mercury was equal to the weight of the calcined mercury; and the weight of the gas produced by heating the calcined mercury was equal to the weight of the portion of the air which had disappeared during the formation of the calcined mercury. this experiment proved that the calcination of mercury in the air consists in the combination of a constituent of the air with the mercury. fig. xvii. (reduced from an illustration in lavoisier's memoir) represents the apparatus used by lavoisier. mayow's supposition was confirmed. [illustration: fig. xvii.] lavoisier made many more experiments on combustion, and proved that in every case the component of the atmosphere which he had named oxygen combined with the substance, or with some part of the substance, which was burned. by these experiments the theory of phlogiston was destroyed; and with its destruction, the whole alchemical apparatus of principles and elements, essences and qualities, souls and spirits, disappeared. chapter xii. the recognition of chemical changes as the interactions of definite substances. the experimental study of combustion made by lavoisier proved the correctness of that part of stahl's phlogistic theory which asserted that all processes of combustion are very similar, but also proved that this likeness consists in the combination of a distinct gaseous substance with the material undergoing combustion, and not in the escape therefrom of the _principle of fire_, as asserted by the theory of stahl. after about the year , it was necessary to think of combustions in the air as combinations of a particular gas, or _air_, with the burning substances, or some portions of them. this description of processes of burning necessarily led to a comparison of the gaseous constituent of the atmosphere which played so important a part in these processes, with the substances which were burned; it led to the examination of the compositions of many substances, and made it necessary to devise a language whereby these compositions could be stated clearly and consistently. we have seen, in former chapters, the extreme haziness of the alchemical views of composition, and the connexions between composition and properties. although boyle[ ] had stated very lucidly what he meant by the composition of a definite substance, about a century before lavoisier's work on combustion, nevertheless the views of chemists concerning composition remained very vague and incapable of definite expression, until the experimental investigations of lavoisier enabled him to form a clear mental picture of chemical changes as interactions between definite quantities of distinct substances. [ ] boyle said, in , "i mean by elements ... certain primitive and simple, or perfectly unmixed bodies; which not being made of any other bodies, or of one another, are the ingredients of which all those called perfectly mixt bodies are immediately compounded, and into which they are ultimately resolved." let us consider some of the work of lavoisier in this direction. i select his experimental examination of the interactions of metals and acids. many experimenters had noticed that gases (or airs, as they were called up till near the end of the th century) are generally produced when metals are dissolving in acids. most of those who noticed this said that the gases came from the dissolving metals; lavoisier said they were produced by the decomposition of the acids. in order to study the interaction of nitric acid and mercury, lavoisier caused a weighed quantity of the metal to react with a weighed quantity of the acid, and collected the gas which was produced; when all the metal had dissolved, he evaporated the liquid until a white solid was obtained; he heated this solid until it was changed to the red substance called, at that time, _red precipitate_, and collected the gas produced. finally, lavoisier strongly heated the red precipitate; it changed to a gas, which he collected, and mercury, which he weighed. the weight of the mercury obtained by lavoisier at the end of this series of changes was the same, less a few grains, as the weight of the mercury which he had caused to react with the nitric acid. the gas obtained during the solution of the metal in the acid, and during the decomposition of the white solid by heat, was the same as a gas which had been prepared by priestley and called by him _nitrous air_; and the gas obtained by heating the red precipitate was found to be oxygen. lavoisier then mixed measured volumes of oxygen and "nitrous air," standing over water; a red gas was formed, and dissolved in the water, and lavoisier proved that the water now contained nitric acid. the conclusions regarding the composition of nitric acid drawn by lavoisier from these experiments was, that "nitric acid is nothing else than _nitrous air_, combined with almost its own volume of the purest part of atmospheric air, and a considerable quantity of water." lavoisier supposed that the stages in the complete reaction between mercury and nitric acid were these: the withdrawal of oxygen from the acid by the mercury, and the union of the compound of mercury and oxygen thus formed with the constituents of the acid which remained when part of its oxygen was taken away. the removal of oxygen from nitric acid by the mercury produced _nitrous air_; when the product of the union of the oxide of mercury and the nitric acid deprived of part of its oxygen was heated, more nitrous air was given off, and oxide of mercury remained, and was decomposed, at a higher temperature, into mercury and oxygen. lavoisier thought of these reactions as the tearing asunder, by mercury, of nitric acid into definite quantities of its three components, themselves distinct substances, nitrous air, water, and oxygen; and the combination of the mercury with a certain measurable quantity of one of these components, namely, oxygen, followed by the union of this compound of mercury and oxygen with what remained of the components of nitric acid. lavoisier had formed a clear, consistent, and suggestive mental picture of chemical changes. he thought of a chemical reaction as always the same under the same conditions, as an action between a fixed and measurable quantity of one substance, having definite and definable properties, with fixed and measurable quantities of other substances, the properties of each of which were definite and definable. lavoisier also recognised that certain definite substances could be divided into things simpler than themselves, but that other substances refused to undergo simplification by division into two or more unlike portions. he spoke of the object of chemistry as follows:--[ ] "in submitting to experiments the different substances found in nature, chemistry seeks to decompose these substances, and to get them into such conditions that their various components may be examined separately. chemistry advances to its end by dividing, sub-dividing, and again sub-dividing, and we do not know what will be the limits of such operations. we cannot be certain that what we regard as simple to-day is indeed simple; all we can say is, that such a substance is the actual term whereat chemical analysis has arrived, and that with our present knowledge we cannot sub-divide it." [ ] i have given a free rendering of lavoisier's words. in these words lavoisier defines the chemical conception of _elements_; since his time an element is "the actual term whereat chemical analysis has arrived," it is that which "with our present knowledge we cannot sub-divide"; and, as a working hypothesis, the notion of _element_ has no wider meaning than this. i have already quoted boyle's statement that by _elements_ he meant "certain primitive and simple bodies ... not made of any other bodies, or of one another." boyle was still slightly restrained by the alchemical atmosphere around him; he was still inclined to say, "this _must_ be the way nature works, she _must_ begin with certain substances which are absolutely simple." lavoisier had thrown off all the trammels which hindered the alchemists from making rigorous experimental investigations. if one may judge from his writings, he had not struggled to free himself from these trammels, he had not slowly emerged from the quagmires of alchemy, and painfully gained firmer ground; the extraordinary clearness and directness of his mental vision had led him straight to the very heart of the problems of chemistry, and enabled him not only calmly to ignore all the machinery of elements, principles, essences, and the like, which the alchemists had constructed so laboriously, but also to construct, in place of that mechanism which hindered inquiry, genuine scientific hypotheses which directed inquiry, and were themselves altered by the results of the experiments they had suggested. lavoisier made these great advances by applying himself to the minute and exhaustive examination of a few cases of chemical change, and endeavouring to account for everything which took part in the processes he studied, by weighing or measuring each distinct substance which was present when the change began, and each which was present when the change was finished. he did not make haphazard experiments; he had a method, a system; he used hypotheses, and he used them rightly. "systems in physics," lavoisier writes, "are but the proper instruments for helping the feebleness of our senses. properly speaking, they are methods of approximation which put us on the track of solving problems; they are the hypotheses which, successively modified, corrected, and changed, by experience, ought to conduct us, some day, by the method of exclusions and eliminations, to the knowledge of the true laws of nature." in a memoir wherein he is considering the production of carbonic acid and alcohol by the fermentation of fruit-juice, lavoisier says, "it is evident that we must know the nature and composition of the substances which can be fermented and the products of fermentation; for nothing is created, either in the operations of art or in those of nature; and it may be laid down that the quantity of material present at the beginning of every operation is the same as the quantity present at the end, that the quality and quantity of the principles[ ] are the same, and that nothing happens save certain changes, certain modifications. on this principle is based the whole art of experimenting in chemistry; in all chemical experiments we must suppose that there is a true equality between the principles[ ] of the substances which are examined and those which are obtained from them by analysis." [ , ] lavoisier uses the word _principle_, here and elsewhere, to mean a definite homogeneous substance; he uses it as synonymous with the more modern terms element and compound. if lavoisier's memoirs are examined closely, it is seen that at the very beginning of his chemical inquiries he assumed the accuracy, and the universal application, of the generalisation "nothing is created, either in the operations of art or in those of nature." naturalists had been feeling their way for centuries towards such a generalisation as this; it had been in the air for many generations; sometimes it was almost realised by this or that investigator, then it escaped for long periods. lavoisier seems to have realised, by what we call intuition, that however great and astonishing may be the changes in the properties of the substances which mutually react, there is no change in the total quantity of material. not only did lavoisier realise and act on this principle, he also measured quantities of substances by the one practical method, namely, by weighing; and by doing this he showed chemists the only road along which they could advance towards a genuine knowledge of material changes. the generalisation expressed by lavoisier in the words i have quoted is now known as the _law of the conservation of mass_; it is generally stated in some such form as this:--the sum of the masses of all the homogeneous substances which take part in a chemical (or physical) change does not itself change. the science of chemistry rests on this law; every quantitative analysis assumes the accuracy, and is a proof of the validity, of it.[ ] [ ] i have considered the law of the conservation of mass in some detail in chapter iv. of _the story of the chemical elements_. by accepting the accuracy of this generalisation, and using it in every experiment, lavoisier was able to form a clear mental picture of a chemical change as the separation and combination of homogeneous substances; for, by using the balance, he was able to follow each substance through the maze of changes, to determine when it united with other substances, and when it separated into substances simpler than itself. chapter xiii. the chemical elements contrasted with the alchemical principles. it was known to many observers in the later years of the th century that the product of the calcination of a metal weighs more than the metal; but it was still possible, at that time, to assert that this fact is of no importance to one who is seeking to give an accurate description of the process of calcination. weight, which measures mass or quantity of substance, was thought of, in these days, as a property like colour, taste, or smell, a property which was sometimes decreased, and sometimes increased, by adding one substance to another. students of natural occurrences were, however, feeling their way towards the recognition of some property of substances which did not change in the haphazard way wherein most properties seemed to alter. lavoisier reached this property at one bound. by his experimental investigations, he taught that, however greatly the properties of one substance may be masked, or altered, by adding another substance to it, yet the property we call mass, and measure by weight, is not affected by these changes; for lavoisier showed, that the mass of the product of the union of two substances is always exactly the sum of the masses of these two substances, and the sum of the masses of the substances whereinto one substance is divided is always exactly equal to that mass of the substance which is divided. for the undefined, ever-changing, protean essence, or soul, of a thing which the alchemists thought of as hidden by wrappings of properties, the exact investigations of lavoisier, and those of others who worked on the same lines as he, substituted this definite, fixed, unmodifiable property of mass. lavoisier, and those who followed in his footsteps, also did away with the alchemical notion of the existence of an essential substratum, independent of changes in those properties of a substance which can be observed by the senses. for the experimental researches of these men obliged naturalists to recognise, that a change in the properties of a definite, homogeneous substance, such as pure water, pure chalk, or pure sulphur, is accompanied (or, as we generally say, is caused) by the formation of a new substance or substances; and this formation, this apparent creation, of new material, is effected, either by the addition of something to the original substance, or by the separation of it into portions which are unlike it, and unlike one another. if the change is a combination, or coalescence, of two things into one, then the mass, and hence the weight, of the product is equal to the sum of those masses, and hence those weights, of the things which have united to form it; if the change is a separation of one distinct substance into several substances, then the sum of the masses, and hence the weights, of the products is equal to that mass, and hence that weight, of the substance which has been separated. consider the word _water_, and the substance represented by this word. in chapter iv., i gave illustrations of the different meanings which have been given to this word; it is sometimes used to represent a material substance, sometimes a quality more or less characteristic of that substance, and sometimes a process to which that substance, and many others like it, may be subjected. but when the word _water_ is used with a definite and exact meaning, it is a succinct expression for a certain group, or collocation, of measurable properties which are always found together, and is, therefore, thought of as a distinct substance. this substance can be separated into two other substances very unlike it, and can be formed by causing these to unite. one hundred parts, by weight, of pure water are always formed by the union of . parts of hydrogen, and . parts of oxygen, and can be separated into these quantities of those substances. when water is formed by the union of hydrogen and oxygen, in the ratio of . parts by weight of the former to . of the latter, the properties of the two substances which coalesce to form it disappear, except their masses. it is customary to say that water _contains_ hydrogen and oxygen; but this expression is scarcely an accurate description of the facts. what we call _substances_ are known to us only by their properties, that is, the ways wherein they act on our senses. hydrogen has certain definite properties, oxygen has other definite properties, and the properties of water are perfectly distinct from those of either of the substances which it is said to contain. it is, therefore, somewhat misleading to say that water _contains_ substances the properties whereof, except their masses, disappeared at the moment when they united and water was produced. nevertheless we are forced to think of water as, in a sense, containing hydrogen and oxygen. for, one of the properties of hydrogen is its power to coalesce, or combine, with oxygen to form water, and one of the properties of oxygen is its ability to unite with hydrogen to form water; and these properties of those substances cannot be recognised, or even suspected, unless certain definite quantities of the two substances are brought together under certain definite conditions. the properties which characterise hydrogen, and those which characterise oxygen, when these things are separated from all other substances, can be determined and measured in terms of the similar properties of some other substance taken as a standard. these two distinct substances disappear when they are brought into contact, under the proper conditions, and something (water) is obtained whose properties are very unlike those of hydrogen or oxygen; this new thing can be caused to disappear, and hydrogen and oxygen are again produced. this cycle of changes can be repeated as often as we please; the quantities of hydrogen and oxygen which are obtained when we choose to stop the process are exactly the same as the quantities of those substances which disappeared in the first operation whereby water was produced. hence, water is an intimate union of hydrogen and oxygen; and, in this sense, water may be said to contain hydrogen and oxygen. the alchemist would have said, the properties of hydrogen and oxygen are destroyed when these things unite to form water, but the essence, or substratum, of each remains. the chemist says, you cannot discover all the properties of hydrogen and oxygen by examining these substances apart from one another, for one of the most important properties of either is manifested only when the two mutually react: the formation of water is not the destruction of the properties of hydrogen and oxygen and the revelation of their essential substrata, it is rather the manifestation of a property of each which cannot be discovered except by causing the union of both. there was, then, a certain degree of accuracy in the alchemical description of the processes we now call chemical changes, as being the removal of the outer properties of the things which react, and the manifestation of their essential substance. but there is a vast difference between this description and the chemical presentment of these processes as reactions between definite and measurable quantities of elements, or compounds, or both, resulting in the re-distribution, of the elements, or the separation of the compounds into their elements, and the formation of new compounds by the re-combination of these elements. let us contrast the two descriptions somewhat more fully. the alchemist wished to effect the transmutation of one substance into another; he despaired of the possibility of separating the elements whereof the substance might be formed, but he thought he could manipulate what he called the _virtues_ of the elements by a judicious use of some or all of the three principles, which he named sulphur, salt, and mercury. he could not state in definite language what he meant by these principles; they were states, conditions, or qualities, of classes of substances, which could not be defined. the directions the alchemist was able to give to those who sought to effect the change of one thing into another were these. firstly, to remove those properties which characterised the thing to be changed, and leave only the properties which it shared with other things like it; secondly, to destroy the properties which the thing to be changed possessed in common with certain other things; thirdly, to commingle the essence of the thing with the essence of something else, in due proportion and under proper conditions; and, finally, to hope for the best, keep a clear head, and maintain a sense of virtue. if he who was about to attempt the transmutation inquired how he was to destroy the specific properties, and the class properties, of the thing he proposed to change, and by what methods he was to obtain its essence, and cause that essence to produce the new thing, he would be told to travel along "the road which was followed by the great architect of the universe in the creation of the world." and if he demanded more detailed directions, he would be informed that the substance wherewith his experiments began must first be mortified, then dissolved, then conjoined, then putrefied, then congealed, then cibated, then sublimed, and fermented, and, finally, exalted. he would, moreover, be warned that in all these operations he must use, not things which he could touch, handle, and weigh, but the _virtues_, the _lives_, the _souls_, of such things. when the student of chemistry desires to effect the transformation of one definite substance into another, he is told to determine, by quantitative experiments, what are the elements, and what the quantities of these elements, which compose the compound which he proposes to change, and the compound into which he proposes to change it; and he is given working definitions of the words _element_ and _compound_. if the compound he desires to produce is found to be composed of elements different from those which form the compound wherewith his operations begin, he is directed to bring about a reaction, or a series of reactions, between the compound which is to be changed, and some other collocation of elements the composition of which is known to be such that it can supply the new elements which are needed for the production of the new compound. since lavoisier realised, for himself, and those who were to come after him, the meaning of the terms _element_ and _compound_, we may say that chemists have been able to form a mental picture of the change from one definite substance to another, which is clear, suggestive, and consistent, because it is an approximately accurate description of the facts discovered by careful and penetrative investigations. this presentment of the change has been substituted for the alchemical conception, which was an attempt to express what introspection and reasoning on the results of superficial investigations, guided by specious analogies, suggested ought to be the facts. lavoisier was the man who made possible the more accurate, and more far-reaching, description of the changes which result in the production of substances very unlike those which are changed; and he did this by experimentally analysing the conceptions of the element and the compound, giving definite and workable meanings to these conceptions, and establishing, on an experimental foundation, the generalisation that the sum of the quantities of the substances which take part in any change is itself unchanged. a chemical element was thought of by lavoisier as "the actual term whereat analysis has arrived," a definite substance "which we cannot subdivide with our present knowledge," but not necessarily a substance which will never be divided. a compound was thought of by him as a definite substance which is always produced by the union of the same quantities of the same elements, and can be separated into the same quantities of the same elements. these conceptions were amplified and made more full of meaning by the work of many who came after lavoisier, notably by john dalton, who was born in and died in . in chapter i., i gave a sketch of the atomic theory of the greek thinkers. the founder of that theory, who flourished about b.c., said that every substance is a collocation of a vast number of minute particles, which are unchangeable, indestructible, and impenetrable, and are therefore properly called _atoms_; that the differences which are observed between the qualities of things are due to differences in the numbers, sizes, shapes, positions, and movements of atoms, and that the process which occurs when one substance is apparently destroyed and another is produced in its place, is nothing more than a rearrangement of atoms. the supposition that changes in the properties of substances are connected with changes in the numbers, movements, and arrangements of different kinds of minute particles, was used in a general way by many naturalists of the th and th centuries; but dalton was the first to show that the data obtained by the analyses of compounds make it possible to determine the relative weights of the atoms of the elements. dalton used the word _atom_ to denote the smallest particle of an element, or a compound, which exhibits the properties characteristic of that element or compound. he supposed that the atoms of an element are never divided in any of the reactions of that element, but the atoms of a compound are often separated into the atoms of the elements whereof the compound is composed. apparently without knowing that the supposition had been made more than two thousand years before his time, dalton was led by his study of the composition and properties of the atmosphere to assume that the atoms of different substances, whether elements or compounds, are of different sizes and have different weights. he assumed that when two elements unite to form only one compound, the atom of that compound has the simplest possible composition, is formed by the union of a single atom of each element. dalton knew only one compound of hydrogen and nitrogen, namely, ammonia. analyses of this compound show that it is composed of one part by weight of hydrogen and . parts by weight of nitrogen. dalton said one atom of hydrogen combines with one atom of nitrogen to form an atom of ammonia; hence an atom of nitrogen is . times heavier than an atom of hydrogen; in other words, if the _atomic weight_ of hydrogen is taken as unity, the _atomic weight_ of nitrogen is expressed by the number . . dalton referred the atomic weights of the elements to the atomic weight of hydrogen as unity, because hydrogen is lighter than any other substance; hence the numbers which tell how much heavier the atoms of the elements are than an atom of hydrogen are always greater than one, are always positive numbers. when two elements unite in different proportions, by weight, to form more than one compound, dalton supposed that (in most cases at any rate) one of the compounds is formed by the union of a single atom of each element; the next compound is formed by the union of one atom of the element which is present in smaller quantity with two, three, or more, atoms of the other element, and the next compound is formed by the union of one atom of the first element with a larger number (always, necessarily, a whole number) of atoms of the other element than is contained in the second compound; and so on. from this assumption, and the daltonian conception of the atom, it follows that the quantities by weight of one element which are found to unite with one and the same weight of another element must always be expressible as whole multiples of one number. for if two elements, a and b, form a compound, that compound is formed, by supposition, of one atom of a and one atom of b; if more of b is added, at least one atom of b must be added; however much of b is added the quantity must be a whole number of atoms; and as every atom of b is the same in all respects as every other atom of b, the weights of b added to a constant weight of a must be whole multiples of the atomic weight of b. the facts which were available in dalton's time confirmed this deduction from the atomic theory within the limits of experimental errors; and the facts which have been established since dalton's time are completely in keeping with the deduction. take, for instance, three compounds of the elements nitrogen and oxygen. that one of the three which contains least oxygen is composed of . _per cent._ of nitrogen, and . _per cent._ of oxygen; if the atomic weight of nitrogen is taken to be . , which is the weight of nitrogen that combines with one part by weight of hydrogen, then the weight of oxygen combined with . of nitrogen is . ( . : . = . : . ). the weights of oxygen which combine with . parts by weight of nitrogen to form the second and third compounds, respectively, must be whole multiples of . ; these weights are . and . . now . = . x , and . = . x . hence, the quantities by weight of oxygen which combine with one and the same weight of nitrogen are such that two of these quantities are whole multiples of the third quantity. dalton's application of the greek atomic theory to the facts established by the analyses of compounds enabled him to attach to each element a number which he called the atomic weight of the element, and to summarise all the facts concerning the compositions of compounds in the statement, that the elements combine in the ratios of their atomic weights, or in the ratios of whole multiples of their atomic weights. all the investigations which have been made into the compositions of compounds, since dalton's time, have confirmed the generalisation which followed from dalton's application of the atomic theory. even if the theory of atoms were abandoned, the generalisation would remain, as an accurate and exact statement of facts which hold good in every chemical change, that a number can be attached to each element, and the weights of the elements which combine are in the ratios of these numbers, or whole multiples of these numbers. since chemists realised the meaning of dalton's book, published in , and entitled, _a new system of chemical philosophy_, elements have been regarded as distinct and definite substances, which have not been divided into parts different from themselves, and unite with each other in definite quantities by weight which can be accurately expressed as whole multiples of certain fixed quantities; and compounds have been regarded as distinct and definite substances which are formed by the union of, and can be separated into, quantities of various elements which are expressible by certain fixed numbers or whole multiples thereof. these descriptions of elements and compounds are expressions of actual facts. they enable chemists to state the compositions of all the compounds which are, or can be, formed by the union of any elements. for example, let a, b, c, and d represent four elements, and also certain definite weights of these elements, then the compositions of all the compounds which can be formed by the union of these elements are expressed by the scheme a_{_n_} b_{_m_} c_{_p_} d_{_q_}, where _m_ _n_ _p_ and _q_ are whole numbers. these descriptions of elements and compounds also enable chemists to form a clear picture to themselves of any chemical change. they think of a chemical change as being; ( ) a union of those weights of two, or more, elements which are expressed by the numbers attached to these elements, or by whole multiples of these numbers; or ( ) a union of such weights of two, or more, compounds as can be expressed by certain numbers or by whole multiples of these numbers; or ( ) a reaction between elements and compounds, or between compounds and compounds, resulting in the redistribution of the elements concerned, in such a way that the complete change of composition can be expressed by using the numbers, or whole multiples of the numbers, attached to the elements. how different is this conception of a change wherein substances are formed, entirely unlike those things which react to form them, from the alchemical presentment of such a process! the alchemist spoke of stripping off the outer properties of the thing to be changed, and, by operating spiritually on the soul which was thus laid bare, inducing the essential virtue of the substance to exhibit its powers of transmutation. but he was unable to give definite meanings to the expressions which he used, he was unable to think clearly about the transformations which he tried to accomplish. the chemist discards the machinery of virtues, souls, and powers. it is true that he substitutes a machinery of minute particles; but this machinery is merely a means of thinking clearly and consistently about the changes which he studies. the alchemist thought, vaguely, of substance as something underlying, and independent of, properties; the chemist uses the expression, this or that substance, as a convenient way of presenting and reasoning about certain groups of properties. it seems to me that if we think of _matter_ as something more than properties recognised by the senses, we are going back on the road which leads to the confusion of the alchemical times. the alchemists expressed their conceptions in what seems to us a crude, inconsistent, and very undescriptive language. chemists use a language which is certainly symbolical, but also intelligible, and on the whole fairly descriptive of the facts. a name is given to each elementary substance, that is, each substance which has not been decomposed; the name generally expresses some characteristic property of the substance, or tells something about its origin or the place of its discovery. the names of compounds are formed by putting together the names of the elements which combine to produce them; and the relative quantities of these elements are indicated either by the use of latin or greek prefixes, or by variations in the terminal syllables of the names of the elements. chapter xiv. the modern form of the alchemical quest of the one thing. the study of the properties of the elements shows that these substances fall into groups, the members of each of which are like one another, and form compounds which are similar. the examination of the properties and compositions of compounds has shown that similarity of properties is always accompanied by similarity of composition. hence, the fact that certain elements are very closely allied in their properties suggests that these elements may also be allied in their composition. now, to speak of the composition of an element is to think of the element as formed by the union of at least two different substances; it implies the supposition that some elements at any rate are really compounds. the fact that there is a very definite connexion between the values of the atomic weights, and the properties, of the elements, lends some support to the hypothesis that the substances we call, and are obliged at present to call, elements, may have been formed from one, or a few, distinct substances, by some process of progressive change. if the elements are considered in the order of increasing atomic weights, from hydrogen, whose atomic weight is taken as unity because it is the lightest substance known, to uranium, an atom of which is times heavier than an atom of hydrogen, it is found that the elements fall into periods, and the properties of those in one period vary from element to element, in a way which is, broadly and on the whole, like the variation of the properties of those in other periods. this fact suggests the supposition--it might be more accurate to say the speculation--that the elements mark the stable points in a process of change, which has not proceeded continuously from a very simple substance to a very complex one, but has repeated itself, with certain variations, again and again. if such a process has occurred, we might reasonably expect to find substances exhibiting only minute differences in their properties, differences so slight as to make it impossible to assign the substances, definitely and certainly, either to the class of elements or to that of compounds. we find exactly such substances among what are called the _rare earths_. there are earth-like substances which exhibit no differences of chemical properties, and yet show minute differences in the characters of the light which they emit when they are raised to a very high temperature. the results of analysis by the spectroscope of the light emitted by certain elements at different temperatures may be reasonably interpreted by supposing that these elements are separated into simpler substances by the action on them of very large quantities of thermal energy. the spectrum of the light emitted by glowing iron heated by a bunsen flame (say, at ° c. = about ° f.) shows a few lines and flutings; when iron is heated in an electric arc (say, to ° c. = about ° f.) the spectrum shows some two thousand lines; at the higher temperature produced by the electric spark-discharge, the spectrum shows only a few lines. as a guide to further investigation, we may provisionally infer from these facts that iron is changed at very high temperatures into substances simpler than itself. sir norman lockyer's study of the spectra of the light from stars has shown that the light from those stars which are presumably the hottest, judging by the general character of their spectra, reveals the presence of a very small number of chemical elements; and that the number of spectral lines, and, therefore, the number of elements, increases as we pass from the hottest to cooler stars. at each stage of the change from the hottest to cooler stars certain substances disappear and certain other substances take their places. it may be supposed, as a suggestive hypothesis, that the lowering of stellar temperature is accompanied by the formation, from simpler forms of matter, of such elements as iron, calcium, manganese, and other metals. in the year , the french chemist becquerel discovered the fact that salts of the metal uranium, the atomic weight of which is , and is greater than that of any other element, emit rays which cause electrified bodies to lose their electric charges, and act on photographic plates that are wrapped in sheets of black paper, or in thin sheets of other substances which stop rays of light. the _radio-activity_ of salts of uranium was proved not to be increased or diminished when these salts had been shielded for five years from the action of light by keeping them in leaden boxes. shortly after becquerel's discovery, experiments proved that salts of the rare metal thorium are radio-active. this discovery was followed by madame curie's demonstration of the fact that certain specimens of _pitchblende_, a mineral which contains compounds of uranium and of many other metals, are extremely radio-active, and by the separation from pitchblende, by monsieur and madame curie, of new substances much more radio-active than compounds of uranium or of thorium. the new substances were proved to be compounds chemically very similar to salts of barium. their compositions were determined on the supposition that they were salts of an unknown metal closely allied to barium. because of the great radio-activity of the compounds, the hypothetical metal of them was named _radium_. at a later time, radium was isolated by madame curie. it is described by her as a white, hard, metal-like solid, which reacts with water at the ordinary temperature, as barium does. since the discovery of radium compounds, many radio-active substances have been isolated. only exceedingly minute quantities of any of them have been obtained. the quantities of substances used in experiments on radio-activity are so small that they escape the ordinary methods of measurement, and are scarcely amenable to the ordinary processes of the chemical laboratory. fortunately, radio-activity can be detected and measured by electrical methods of extraordinary fineness, methods the delicacy of which very much more exceeds that of spectroscopic methods than the sensitiveness of these surpasses that of ordinary chemical analysis. at the time of the discovery of radio-activity, about seventy-five substances were called elements; in other words, about seventy-five different substances were known to chemists, none of which had been separated into unlike parts, none of which had been made by the coalescence of unlike substances. compounds of only two of these substances, uranium and thorium, are radio-active. radio-activity is a very remarkable phenomenon. so far as we know at present, radio-activity is not a property of the substances which form almost the whole of the rocks, the waters, and the atmosphere of the earth; it is not a property of the materials which constitute living organisms. it is a property of some thirty substances--of course, the number may be increased--a few of which are found widely distributed in rocks and waters, but none of which is found anywhere except in extraordinarily minute quantity. radium is the most abundant of these substances; but only a very few grains of radium chloride can be obtained from a couple of tons of pitchblende. in chapter x. of _the story of the chemical elements_ i have given a short account of the outstanding phenomena of radio-activity; for the present purpose it will suffice to state a few facts of fundamental importance. radio-active substances are stores of energy, some of which is constantly escaping from them; they are constantly changing without external compulsion, and are constantly radiating energy: all explosives are storehouses of energy which, or part of which, can be obtained from them; but the liberation of their energy must be started by some kind of external shock. when an explosive substance has exploded, its existence as an explosive is finished; the products of the explosion are substances from which energy cannot be obtained: when a radio-active substance has exploded, it explodes again, and again, and again; a time comes, sooner or later, when it has changed into substances that are useless as sources of energy. the disintegration of an explosive, started by an external force, is generally completed in a fraction of a second; change of condition changes the rate of explosion: the "half-life period" of each radio-active substance is a constant characteristic of it; if a gram of radium were kept for about years, half of it would have changed into radio-inactive substances. conditions may be arranged so that an explosive remains unchanged--wet gun-cotton is not exploded by a shock which would start the explosion of dry gun-cotton--in other words, the explosion of an explosive can be regulated: the explosive changes of a radio-active substance, which are accompanied by the radiation of energy, cannot be regulated; they proceed spontaneously in a regular and definable manner which is not influenced by any external conditions--such as great change of temperature, presence or absence of other substances--so far as these conditions have been made the subject of experiment: the amount of activity of a radio-active substance has not been increased or diminished by any process to which the substance has been subjected. explosives are manufactured articles; explosiveness is a property of certain arrangements of certain quantities of certain elements: so far as experiments have gone, it has not been found possible to add the property of radio-activity to an inactive substance, or to remove the property of radio-activity from an active substance; the cessation of the radio-activity of an active substance is accompanied by the disappearance of the substance, and the production of inactive bodies altogether unlike the original active body. radio-active substances are constantly giving off energy in the form of heat, sending forth _rays_ which have definite and remarkable properties, and producing gaseous _emanations_ which are very unstable, and change, some very rapidly, some less rapidly, into other substances, and emit _rays_ which are generally the same as the rays emitted by the parent substance. in briefly considering these three phenomena, i shall choose radium compounds as representative of the class of radio-active substances. radium compounds spontaneously give off energy in the form of heat. a quantity of radium chloride which contains gram of radium continuously gives out, per hour, a quantity of heat sufficient to raise the temperature of gram of water through ° c., or grams of water through ° c. the heat given out by gram of radium during twenty-four hours would raise the temperature of grams of water through ° c.; in one year the temperature of , grams of water would be raised through ° c.; and in years, which is approximately the half-life period of radium, the temperature of , , _kilograms_ of water would be raised through ° c. these results may be expressed by saying that if gram (about grains) of radium were kept until half of it had changed into inactive substances, and if the heat spontaneously produced during the changes which occurred were caused to act on water, that quantity of heat would raise the temperature of about ½ tons of water from its freezing- to its boiling-point. radium compounds send forth three kinds of rays, distinguished as _alpha_, _beta_, and _gamma_ rays. experiments have made it extremely probable that the [alpha]-rays are streams of very minute particles, somewhat heavier than atoms of hydrogen, moving at the rate of about , miles per second; and that the [beta]-rays are streams of much more minute particles, the mass of each of which is about one one-thousandth of the mass of an atom of hydrogen, moving about ten times more rapidly than the [alpha]-particles, that is, moving at the rate of about , miles per second. the [gamma]-rays are probably pulsations of the ether, the medium supposed to fill space. the emission of [alpha]-rays by radium is accompanied by the production of the inert elementary gas, helium; therefore, the [alpha]-rays are, or quickly change into, rapidly moving particles of helium. the particles which constitute the [beta]-rays carry electric charges; these electrified particles, each approximately a thousand times lighter than an atom of hydrogen, moving nearly as rapidly as the pulsations of the ether which we call light, are named _electrons_. the rays from radium compounds discharge electrified bodies, ionise gases, that is, cause them to conduct electricity, act on photographic plates, and produce profound changes in living organisms. the radium emanation is a gas about times heavier than hydrogen; to this gas sir william ramsay has given the name _niton_. the gas has been condensed to a colourless liquid, and frozen to an opaque solid which glows like a minute arc-light. radium emanation gives off [alpha]-particles, that is, very rapidly moving atoms of helium, and deposits exceedingly minute quantities of a solid, radio-active substance known as radium a. the change of the emanation into helium and radium a proceeds fairly rapidly: the half-life period of the emanation is a little less than four days. this change is attended by the liberation of much energy. the only satisfactory mental picture which the facts allow us to form, at present, of the emission of [beta]-rays from radium compounds is that which represents these rays as streams of electrons, that is, particles, each about a thousand times lighter than an atom of hydrogen, each carrying an electric charge, and moving at the rate of about , miles per second, that is, nearly as rapidly as light. when an electric discharge is passed from a plate of metal, arranged as the kathode, to a metallic wire arranged as the anode, both sealed through the walls of a glass tube or bulb from which almost the whole of the air has been extracted, rays proceed from the kathode, in a direction at right angles thereto, and, striking the glass in the neighbourhood of the anode, produce a green phosphorescence. facts have been gradually accumulated which force us to think of these _kathode rays_ as streams of very rapidly moving electrons, that is, as streams of extraordinarily minute electrically charged particles identical with the particles which form the [beta]-rays emitted by compounds of radium. the phenomena of radio-activity, and also the phenomena of the kathode rays, have obliged us to refine our machinery of minute particles by including therein particles at least a thousand times lighter than atoms of hydrogen. the term _electron_ was suggested, a good many years ago, by dr johnstone stoney, for the unit charge of electricity which is carried by an atom of hydrogen when hydrogen atoms move in a liquid or gas under the directing influence of the electric current. some chemists speak of the electrons, which are the [beta]-rays from radium, and the kathode rays produced in almost vacuous tubes, as non-material particles of electricity. non-material means devoid of mass. the method by which approximate determinations have been made of the charges on electrons consists in measuring the ratio between the charges and the masses of these particles. if the results of the determinations are accepted, electrons are not devoid of mass. electrons must be thought of as material particles differing from other minute material particles in the extraordinary smallness of their masses, in the identity of their properties, including their mass, in their always carrying electric charges, and in the vast velocity of their motion. we must think of an electron either as a unit charge of electricity one property of which is its minute mass, or as a material particle having an extremely small mass and carrying a unit charge of electricity: the two mental pictures are almost, if not quite, identical. electrons are produced by sending an electric discharge through a glass bulb containing a minute quantity of air or other gas, using metallic plates or wires as kathode and anode. experiments have shown that the electrons are identical in all their properties, whatever metal is used to form the kathode and anode, and of whatever gas there is a minute quantity in the bulb. the conclusion must be drawn that identical electrons are constituents of, or are produced from, very different kinds of chemical elements. as the facts about kathode rays, and the facts of radio-activity are (at present) inexplicable except on the supposition that these phenomena are exhibited by particles of extraordinary minuteness, and as the smallest particles with which chemists are concerned in their everyday work are the atoms of the elements, we seem obliged to think of many kinds of atoms as structures, not as homogeneous bodies. we seem obliged to think of atoms as very minute material particles, which either normally are, or under definite conditions may be, associated with electrically charged particles very much lighter than themselves, all of which are identical, whatever be the atoms with which they are associated or from which they are produced. in their study of different kinds of matter, chemists have found it very helpful to place in one class those substances which they have not been able to separate into unlike parts. they have distinguished this class of substances from other substances, and have named them _elements_. the expression _chemical elements_ is merely a summary of certain observed facts. for many centuries chemists have worked with a conceptual machinery based on the notion that matter has a grained structure. for more than a hundred years they have been accustomed to think of atoms as the ultimate particles with which they have had to deal. working with this order-producing instrument, they have regarded the properties of elements as properties of the atoms, or of groups of a few of the atoms, of these substances. that they might think clearly and suggestively about the properties of elements, and connect these with other chemical facts, they have translated the language of sense-perceptions into the language of thought, and, for _properties of those substances which have not been decomposed_, have used the more fertile expression _atomic properties_. when a chemist thinks of an atom, he thinks of the minutest particle of one of the substances which have the class-mark _have-not-been-decomposed_, and the class-name _element_. the chemist does not call these substances elements because he has been forced to regard the minute particles of them as undivided, much less because he thinks of these particles as indivisible; his mental picture of their structure as an atomic structure formed itself from the fact that they had not been decomposed. the formation of the class _element_ followed necessarily from observed facts, and has been justified by the usefulness of it as an instrument for forwarding accurate knowledge. the conception of the elementary atom as a particle which had not been decomposed followed from many observed facts besides those concerning elements, and has been justified by the usefulness of it as an instrument for forwarding accurate knowledge. investigations proved radio-activity to be a property of the very minute particles of certain substances, and each radio-active substance to have characteristic properties, among which were certain of those that belong to elements, and to some extent are characteristic of elements. evidently, the simplest way for a chemist to think about radio-activity was to think of it as an atomic property; hence, as atomic properties had always been regarded, in the last analysis, as properties of elements, it was natural to place the radio-active substances in the class _elements_, provided that one forgot for the time that these substances have not the class-mark _have-not-been-decomposed_. as the facts of radio-activity led to the conclusion that some of the minute particles of radio-active substances are constantly disintegrating, and as these substances had been labelled _elements_, it seemed probable, or at least possible, that the other bodies which chemists have long called elements are not true elements, but are merely more stable collocations of particles than the substances which are classed as compounds. as compounds can be changed into certain other compounds, although not into any other compounds, a way seemed to be opening which might lead to the transformation of some elements into some other elements. the probability that one element might be changed into another was increased by the demonstration of the connexions between uranium and radium. the metal uranium has been classed with the elements since it was isolated in . in , becquerel found that compounds of uranium, and also the metal itself, are radio-active. in the light of what is now known about radio-activity, it is necessary to suppose that some of the minute particles of uranium emit particles lighter than themselves, and change into some substance, or substances, different from uranium; in other words, it is necessary to suppose that some particles of uranium are spontaneously disintegrating. this supposition is confirmed by the fact, experimentally proved, that uranium emits [alpha]-rays, that is, atoms of helium, and produces a substance known as uranium x. uranium x is itself radio-active; it emits [beta]-rays, that is, it gives off electrons. inasmuch as all minerals which contain compounds of uranium contain compounds of radium also, it is probable that radium is one of the disintegration-products of uranium. the rate of decay of radium may be roughly expressed by saying that, if a quantity of radium were kept for ten thousand years, only about one per cent. of the original quantity would then remain unchanged. even if it were assumed that at a remote time the earth's crust contained considerable quantities of radium compounds, it is certain that they would have completely disappeared long ago, had not compounds of radium been reproduced from other materials. again, the most likely hypothesis is that compounds of radium are being produced from compounds of uranium. uranium is a substance which, after being rightly classed with the elements for more than half a century, because it had not been separated into unlike parts, must now be classed with the radium-like substances which disintegrate spontaneously, although it differs from other radio-active substances in that its rate of change is almost infinitively slower than that of any of them, except thorium.[ ] thorium, a very rare metal, is the second of the seventy-five or eighty elements known when radio-activity was discovered, which has been found to undergo spontaneous disintegration with the emission of rays. the rate of change of thorium is considerably slower than that of uranium.[ ] none of the other substances placed in the class of elements is radio-active. [ ] the life-period of uranium is probably about eight thousand million years. [ ] the life-period of thorium is possibly about forty thousand million years. on p. i said, that when the radio-active substances had been labelled _elements_, the facts of radio-activity led some chemists to the conclusion that the other bodies which had for long been called by this class-name, or at any rate some of these bodies, are perhaps not true elements, but are merely more stable collocations of particles than the substances called compounds. it seems to me that this reasoning rests on an unscientific use of the term _element_; it rests on giving to that class-name the meaning, _substances asserted to be undecomposable_. a line of demarcation is drawn between _elements_, meaning thereby forms of matter said to be undecomposable but probably capable of separation into unlike parts, and _true elements_, meaning thereby groups of identical undecomposable particles. if one names the radio-active substances _elements_, one is placing in this class substances which are specially characterised by a property the direct opposite of that the possession of which by other substances was the reason for the formation of the class. to do this may be ingenious; it is certainly not scientific. since the time of lavoisier, since the last decade of the eighteenth century, careful chemists have meant by an element a substance which has not been separated into unlike parts, and they have not meant more than that. the term _element_ has been used by accurate thinkers as a useful class-mark which connotes a property--the property of not having been decomposed--common to all substances placed in the class, and differentiating them from all other substances. whenever chemists have thought of elements as the ultimate kinds of matter with which the physical world is constructed--and they have occasionally so thought and written--they have fallen into quagmires of confusion. of course, the elements may, some day, be separated into unlike parts. the facts of radio-activity certainly suggest some kind of inorganic evolution. whether the elements are decomposed is to be determined by experimental inquiry, remembering always that no number of failures to simplify them will justify the assertion that they cannot be simplified. chemistry neither asserts or denies the decomposability of the elements. at present, we have to recognise the existence of extremely small quantities, widely distributed in rocks and waters, of some thirty substances, the minute particles of which are constantly emitting streams of more minute, identical particles that carry with them very large quantities of energy, all of which thirty substances are characterised, and are differentiated from all other classes of substances wherewith chemistry is concerned, by their spontaneous mutability, and each is characterised by its special rate of change and by the nature of the products of its mutations. we have now to think of the minute particles of two of the seventy-five or eighty substances which until the other day had not been decomposed, and were therefore justly called elements, as very slowly emitting streams of minuter particles and producing characteristic products of their disintegration. and we have to think of some eighty substances as particular kinds of matter, at present properly called elements, because they are characterised, and differentiated from all other substances, by the fact that none of them has been separated into unlike parts. the study of radio-activity has introduced into chemistry and physics a new order of minute particles. dalton made the atom a beacon-light which revealed to chemists paths that led them to wider and more accurate knowledge. avogadro illuminated chemical, and also physical, ways by his conception of the molecule as a stable, although separable, group of atoms with particular properties different from those of the atoms which constituted it. the work of many investigators has made the old paths clearer, and has shown to chemists and physicists ways they had not seen before, by forcing them to think of, and to make use of, a third kind of material particles that are endowed with the extraordinary property of radio-activity. dalton often said: "thou knowest thou canst not cut an atom"; but the fact that he applied the term _atom_ to the small particles of compounds proves that he had escaped the danger of logically defining the atom, the danger of thinking of it as a particle which never can be cut. the molecule of avogadro has always been a decomposable particle. the peculiarity of the new kind of particles, the particles of radio-active bodies, is, not that they can be separated into unlike parts by the action of external forces, but that they are constantly separating of their own accord into unlike parts, and that their spontaneous disintegration is accompanied by the production of energy, the quantity of which is enormous in comparison with the minuteness of the material specks which are the carriers of it. the continued study of the properties of the minute particles of radio-active substances--a new name is needed for those most mutable of material grains--must lead to discoveries of great moment for chemistry and physics. that study has already thrown much light on the phenomena of electric conductivity; it has given us the electron, a particle at least a thousand times lighter than an atom of hydrogen; it has shown us that identical electrons are given off by, or are separated from, different kinds of elementary atoms, under definable conditions; it has revealed unlooked-for sources of energy; it has opened, and begun the elucidation of, a new department of physical science; it has suggested a new way of attacking the old problem of the alchemists, the problem of the transmutation of the elements. the minute particles of two of the substances for many years classed as elements give off electrons; uranium and thorium are radio-active. electrons are produced by sending an electric discharge through very small traces of different gases, using electrodes of different metals. electrons are also produced by exposing various metals to the action of ultra-violet light, and by raising the temperature of various metals to incandescence. electrons are always identical, whatever be their source. three questions suggest themselves. can the atoms of all the elements be caused to give off electrons? are electrons normal constituents of all elementary atoms? are elementary atoms collocations of electrons? these questions are included in the demand--is it possible "to imagine a model which has in it the potentiality of explaining" radio-activity and other allied phenomena, as well as all other chemical and physical properties of elements and compounds? these questions are answerable by experimental investigation, and only by experimental investigation. if experimental inquiry leads to affirmative answers to the questions, we shall have to think of atoms as structures of particles much lighter than themselves; we shall have to think of the atoms of all kinds of substances, however much the substances differ chemically and physically, as collocations of identical particles; we shall have to think of the properties of atoms as conditioned, in our final analysis, by the number and the arrangement of their constitutive electrons. now, if a large probability were established in favour of the view that different atoms are collocations of different numbers of identical particles, or of equal numbers of differently arranged identical particles, we should have a guide which might lead to methods whereby one collocation of particles could be formed from another collocation of the same particles, a guide which might lead to methods whereby one element could be transformed into another element. to attempt "to imagine a model which has in it the potentiality of explaining" radio-activity, the production of kathode rays, and the other chemical and physical properties of elements and compounds, might indeed seem to be a hopeless undertaking. a beginning has been made in the mental construction of such a model by professor sir j.j. thomson. to attempt a description of his reasoning and his results is beyond the scope of this book.[ ] [ ] the subject is discussed in sir j.j. thomson's _electricity and matter_. the facts that the emanation from radium compounds spontaneously gives off very large quantities of energy, and that the emanation can easily be brought into contact with substances on which it is desired to do work, suggested to sir william ramsay that the transformation of compounds of one element into compounds of another element might possibly be effected by enclosing a solution of a compound along with radium emanation in a sealed tube, and leaving the arrangement to itself. under these conditions, the molecules of the compound would be constantly bombarded by a vast number of electrons shot forth at enormous velocities from the emanation. the notion was that the molecules of the compound would break down under the bombardment, and that the atoms so produced might be knocked into simpler groups of particles--in other words, changed into other atoms--by the terrific, silent shocks of the electrons fired at them incessantly by the disintegrating emanation. sir william ramsay regards his experimental results as establishing a large probability in favour of the assertion that compounds of copper were transformed into compounds of lithium and sodium, and compounds of thorium, of cerium, and of certain other rare metals, into compounds of carbon. the experimental evidence in favour of this statement has not been accepted by chemists as conclusive. a way has, however, been opened which may lead to discoveries of great moment. let us suppose that the transformation of one element into another element or into other elements has been accomplished. let us suppose that the conception of elementary atoms as very stable arrangements of many identical particles, from about a thousand to about a quarter of a million times lighter than the atoms, has been justified by crucial experiments. let us suppose that the conception of the minute grains of radio-active substances as particular but constantly changing arrangements of the same identical particles, stable groups of which are the atoms of the elements, has been firmly established. one result of the establishment of the electronic conception of atomic structure would be an increase of our wonder at the complexity of nature's ways, and an increase of our wonder that it should be possible to substitute a simple, almost rigid, mechanical machinery for the ever-changing flow of experience, and, by the use of that mental mechanism, not only to explain very many phenomena of vast complexity, but also to predict occurrences of similar entanglement and to verify these predictions. the results which have been obtained in the examination of radio-activity, of kathode rays, of spectra at different temperatures, and of phenomena allied to these, bring again into prominence the ancient problem of the structure of what we call matter. is matter fundamentally homogeneous or heterogeneous? chemistry studies the relations between the changes of composition and the changes of properties which happen simultaneously in material systems. the burning fire of wood, coal, or gas; the preparation of food to excite and to satisfy the appetite; the change of minerals into the iron, steel, copper, brass, lead, tin, lighting burning and lubricating oils, dye-stuffs and drugs of commerce; the change of the skins, wool, and hair of animals, and of the seeds and fibres of plants, into clothing for human beings; the manufacture from rags, grass, or wood of a material fitted to receive and to preserve the symbols of human hopes, fears, aspirations, love and hate, pity and aversion; the strange and most delicate processes which, happening without cessation, in plants and animals and men, maintain that balanced equilibrium which we call life; and, when the silver cord is being loosed and the bowl broken at the cistern, the awful changes which herald the approach of death; not only the growing grass in midsummer meadows, not only the coming of autumn "in dyed garments, travelling in the glory of his apparel," but also the opening buds, the pleasant scents, the tender colours which stir our hearts in "the spring time, the only pretty ring time, when birds do sing, ding-a--dong-ding": these, and a thousand other changes have all their aspects which it is the business of the chemist to investigate. confronted with so vast a multitude of never-ceasing changes, and bidden to find order there, if he can--bidden, rather compelled by that imperious command which forces the human mind to seek unity in variety, and, if need be, to create a cosmos from a chaos; no wonder that the early chemists jumped at the notion that there must be, that there is, some _one thing_, some _universal essence_, which binds into an orderly whole the perplexing phenomena of nature, some _water of paradise_ which is for the healing of all disorder, some "well at the world's end," a draught whereof shall bring peace and calm security. the alchemists set forth on the quest. their quest was barren. they made the great mistake of fashioning _the one thing, the essence, the water of paradise_, from their own imaginings of what nature ought to be. in their own likeness they created their goal, and the road to it. if we are to understand nature, they cried, her ways must be simple; therefore, her ways are simple. chemists are people of a humbler heart. their reward has been greater than the alchemists dreamed. by selecting a few instances of material changes, and studying these with painful care, they have gradually elaborated a general conception of all those transformations wherein substances are produced unlike those by the interaction of which they are formed. that general conception is now both widening and becoming more definite. to-day, chemists see a way opening before them which they reasonably hope will lead them to a finer, a more far-reaching, a more suggestive, at once a more complex and a simpler conception of material changes than any of those which have guided them in the past. index air, ancient views regarding, . ---- views of mayow and rey regarding, . alchemical account of changes contrasted with chemical account, . ---- agent, the, . ---- allegories, examples of, , . ---- classification, . ---- doctrine of body, soul, and spirit of things, . ---- doctrine of transmutation, , , , . ---- language, , , , . ---- quest of the one thing, modern form of, . ---- signs, . ---- theory, general sketch of, . alchemists, character of, according to paracelsus, . ---- made many discoveries, . ---- sketches of lives of some, . ---- their use of fanciful analogies, . alchemy, beginnings of, . ---- change of, to chemistry, . ---- contrasted with chemistry, . ---- general remarks on, . ---- lent itself to imposture, . ---- object of, , , , . ---- probable origin of word, . ---- quotations to illustrate aims and methods of, - . alembic, . apparatus and operations of alchemists, . art, the sacred, . atom, meaning given to word by dalton, . atomic theory of greeks, . ---- additions made to, by dalton, . ---- as described by lucretius, . atomic weight, . atoms and electrons, , . bacon's remarks on alchemy, . balsamo, joseph, . basil valentine, his description of the three principles, . ---- his description of the four elements, . ---- some of his discoveries, . becquerel, his discovery of radiation of uranium, . body, soul, and spirit of things, alchemical doctrine of, . boyle, on calcination, . ---- on combustion, . ---- on elements, . ---- on the "hermetick philosophers," . ---- on the language of the alchemists, . ---- on the natural state of bodies, . cagliostro, . calcination, , , , , , , . chaucer's _canon's yeoman's tale_, . chemical conception of material changes, . chemistry, aim of, , , . ---- change from alchemy to, . ---- methods of, . ---- probable origin of word, . classification, alchemical methods of, . colours, lucretius' explanation of differences between, . combustion, . compounds, chemical conception of, . conservation of mass, . curie, her discovery of radium, . dalton's additions to the greek atomic theory, , . democritus, his saying about atoms, . dephlogisticated air, . destruction, thought by alchemists to precede restoration, , . electrons, - , , . elements, alchemical, contrasted with chemical, ; radio-active substances contrasted with, - . ---- the alchemical, , , . ---- the chemical, , , . ---- use of word, by phlogisteans, . essence, the alchemical, , , , , . fire, different meanings of the word, . gates, the alchemical, . gold, considered by alchemists to be the most perfect metal, , . greek thinkers, their atomic theory, . hermes trismegistus, . kathode rays, . language of alchemy, . ---- purposely made misleading, . lavoisier on calcination, , . ---- his use of word _element_, . ---- his use of word _principle_, , _note_. ---- on object of chemistry, . ---- on oxygen, . ---- on systems in science, . ---- on the principle of acidity, , . ---- on the reactions of metals with acids, . ---- on the transmutation of water to earth, . lockyer, on spectra of elements, . lucretius, his theory of nature, . magic, characteristics of, , . material changes, greek theory of, . metals, alchemical connexion between, and plants, . ---- compared by alchemists with vegetables, . ---- mortification of, . ---- seed of, . ---- their desire to become gold, . ---- transmutation of, , , . natural state of bodies, , . oxygen, , . paracelsus, his description of alchemists, . ---- his distinction between natural and artificial mortification, . ---- sketch of life of, . pelican, . perfection, alchemical teaching regarding, , . phlogistic theory, , . phlogiston, , , . priestley, his discovery of oxygen, . principles, the alchemical, , , , , . ---- lavoisier's use of the word, , _note_. radio-active substances, are they elements? , , ; properties of, - . radio-activity, characteristics of, , ; of radium, ; of thorium, ; of uranium, . radium, emanation of, ; heat from, ; rays from, . ramsay, on transmutation of elements, . regimens, the alchemical, . sacred art, the, . scientific theories, general characters of, , . seed, alchemical doctrine of, . seeds of metals, . simplicity, asserted by alchemists to be the mark of nature, , . ---- is not necessarily the mark of verity, . solids, liquids, and gases, atomic explanation of, . stahl, his phlogistic theory, . stone, the philosopher's, , , , , . thorium, radio-activity of, , . transmutation, alchemical doctrine of, , , . ---- character of him who would attempt, . ---- of metals, , , , . ---- of metals into gold, alchemical account of, . ---- of water to earth, . transmutations, apparent examples of, . uranium, radio-activity of, , ; relation of, to radium, , . vegetables compared with metals by alchemists, . water contains hydrogen and oxygen, examination of this phrase, . water, different meanings of the word, , . none [transcriber's notes: in the chemical equations, superscripts are indicated with a ^ and subscripts are indicated with a _. the affected item is enclosed in curly brackets {}. examples are h^{+} for hydrogen ion and h_{ }o for water. since the underscore is already being used in this project, italics are designated by an exclamation point before and after the italicized word or phrase.] an introductory course of quantitative chemical analysis with explanatory notes by henry p. talbot professor of inorganic chemistry at the massachusetts institute of technology sixth edition, completely rewritten preface this introductory course of quantitative analysis has been prepared to meet the needs of students who are just entering upon the subject, after a course of qualitative analysis. it is primarily intended to enable the student to work successfully and intelligently without the necessity for a larger measure of personal assistance and supervision than can reasonably be given to each member of a large class. to this end the directions are given in such detail that there is very little opportunity for the student to go astray; but the manual is not, the author believes, on this account less adapted for use with small classes, where the instructor, by greater personal influence, can stimulate independent thought on the part of the pupil. the method of presentation of the subject is that suggested by professor a.a. noyes' excellent manual of qualitative analysis. for each analysis the procedure is given in considerable detail, and this is accompanied by explanatory notes, which are believed to be sufficiently expanded to enable the student to understand fully the underlying reason for each step prescribed. the use of the book should, nevertheless, be supplemented by classroom instruction, mainly of the character of recitations, and the student should be taught to consult larger works. the general directions are intended to emphasize those matters upon which the beginner in quantitative analysis must bestow special care, and to offer helpful suggestions. the student can hardly be expected to appreciate the force of all the statements contained in these directions, or, indeed, to retain them all in the memory after a single reading; but the instructor, by frequent reference to special paragraphs, as suitable occasion presents itself, can soon render them familiar to the student. the analyses selected for practice are those comprised in the first course of quantitative analysis at the massachusetts institute of technology, and have been chosen, after an experience of years, as affording the best preparation for more advanced work, and as satisfactory types of gravimetric and volumetric methods. from the latter point of view, they also seem to furnish the best insight into quantitative analysis for those students who can devote but a limited time to the subject, and who may never extend their study beyond the field covered by this manual. the author has had opportunity to test the efficiency of the course for use with such students, and has found the results satisfactory. in place of the usual custom of selecting simple salts as material for preliminary practice, it has been found advantageous to substitute, in most instances, approximately pure samples of appropriate minerals or industrial products. the difficulties are not greatly enhanced, while the student gains in practical experience. the analytical procedures described in the following pages have been selected chiefly with reference to their usefulness in teaching the subject, and with the purpose of affording as wide a variety of processes as is practicable within an introductory course of this character. the scope of the manual precludes any extended attempt to indicate alternative procedures, except through general references to larger works on analytical chemistry. the author is indebted to the standard works for many suggestions for which it is impracticable to make specific acknowledgment; no considerable credit is claimed by him for originality of procedure. for many years, as a matter of convenience, the classes for which this text was originally prepared were divided, one part beginning with gravimetric processes and the other with volumetric analyses. after a careful review of the experience thus gained the conclusion has been reached that volumetric analysis offers the better approach to the subject. accordingly the arrangement of the present (the sixth) edition of this manual has been changed to introduce volumetric procedures first. teachers who are familiar with earlier editions will, however, find that the order of presentation of the material under the various divisions is nearly the same as that previously followed, and those who may still prefer to begin the course of instruction with gravimetric processes will, it is believed, be able to follow that order without difficulty. procedures for the determination of sulphur in insoluble sulphates, for the determination of copper in copper ores by iodometric methods, for the determination of iron by permanganate in hydrochloric acid solutions, and for the standardization of potassium permanganate solutions using sodium oxalate as a standard, and of thiosulphate solutions using copper as a standard, have been added. the determination of silica in silicates decomposable by acids, as a separate procedure, has been omitted. the explanatory notes have been rearranged to bring them into closer association with the procedures to which they relate. the number of problems has been considerably increased. the author wishes to renew his expressions of appreciation of the kindly reception accorded the earlier editions of this manual. he has received helpful suggestions from so many of his colleagues within the institute, and friends elsewhere, that his sense of obligation must be expressed to them collectively. he is under special obligations to professor l.f. hamilton for assistance in the preparation of the present edition. henry p. talbot !massachusetts institute of technology, september, !. contents part i. introduction subdivisions of analytical chemistry general directions accuracy and economy of time; notebooks; reagents; wash-bottles; transfer of liquids part ii. volumetric analysis general discussion subdivisions; the analytical balance; weights; burettes; calibration of measuring devices general directions standard and normal solutions !i. neutralization methods! alkalimetry and acidimetry preparation and standardization of solutions; indicators standardization of hydrochloric acid determination of total alkaline strength of soda ash determination of acid strength of oxalic acid !ii. oxidation processes! general discussion bichromate process for the determination of iron determination of iron in limonite by the bichromate process determination of chromium in chrome iron ore permanganate process for the determination of iron determination of iron in limonite by the permanganate process determination of iron in limonite by the zimmermann-reinhardt process determination of the oxidizing power of pyrolusite iodimetry determination of copper in ores determination of antimony in stibnite chlorimetry determination of available chlorine in bleaching powder !iii. precipitation methods! determination of silver by the thiocyanate process part iii. gravimetric analysis general directions precipitation; funnels and filters; filtration and washing of precipitates; desiccators; crucibles and their preparation for use; ignition of precipitates determination of chlorine in sodium chloride determination of iron and of sulphur in ferrous ammonium sulphate determination of sulphur in barium sulphate determination of phosphoric anhydride in apatite analysis of limestone determination of moisture; insoluble matter and silica; ferric oxide and alumina; calcium; magnesium; carbon dioxide analysis of brass electrolytic separations; determination of lead, copper, iron and zinc. determination of silica in silicates part iv. stoichiometry solutions of typical problems problems appendix electrolytic dissociation theory folding of a filter paper sample notebook pages strength of reagents densities and volumes of water corrections for change of temperature of standard solutions atomic weights logarithm tables quantitative chemical analysis part i introduction subdivisions of analytical chemistry a complete chemical analysis of a body of unknown composition involves the recognition of its component parts by the methods of !qualitative analysis!, and the determination of the proportions in which these components are present by the processes of !quantitative analysis!. a preliminary qualitative examination is generally indispensable, if intelligent and proper provisions are to be made for the separation of the various constituents under such conditions as will insure accurate quantitative estimations. it is assumed that the operations of qualitative analysis are familiar to the student, who will find that the reactions made use of in quantitative processes are frequently the same as those employed in qualitative analyses with respect to both precipitation and systematic separation from interfering substances; but it should be noted that the conditions must now be regulated with greater care, and in such a manner as to insure the most complete separation possible. for example, in the qualitative detection of sulphates by precipitation as barium sulphate from acid solution it is not necessary, in most instances, to take into account the solubility of the sulphate in hydrochloric acid, while in the quantitative determination of sulphates by this reaction this solubility becomes an important consideration. the operations of qualitative analysis are, therefore, the more accurate the nearer they are made to conform to quantitative conditions. the methods of quantitative analysis are subdivided, according to their nature, into those of !gravimetric analysis, volumetric analysis!, and !colorimetric analysis!. in !gravimetric! processes the constituent to be determined is sometimes isolated in elementary form, but more commonly in the form of some compound possessing a well-established and definite composition, which can be readily and completely separated, and weighed either directly or after ignition. from the weight of this substance and its known composition, the amount of the constituent in question is determined. in !volumetric! analysis, instead of the final weighing of a definite body, a well-defined reaction is caused to take place, wherein the reagent is added from an apparatus so designed that the volume of the solution employed to complete the reaction can be accurately measured. the strength of this solution (and hence its value for the reaction in question) is accurately known, and the volume employed serves, therefore, as a measure of the substance acted upon. an example will make clear the distinction between these two types of analysis. the percentage of chlorine in a sample of sodium chloride may be determined by dissolving a weighed amount of the chloride in water and precipitating the chloride ions as silver chloride, which is then separated by filtration, ignited, and weighed (a !gravimetric! process); or the sodium chloride may be dissolved in water, and a solution of silver nitrate containing an accurately known amount of the silver salt in each cubic centimeter may be cautiously added from a measuring device called a burette until precipitation is complete, when the amount of chlorine may be calculated from the number of cubic centimeters of the silver nitrate solution involved in the reaction. this is a !volumetric! process, and is equivalent to weighing without the use of a balance. volumetric methods are generally more rapid, require less apparatus, and are frequently capable of greater accuracy than gravimetric methods. they are particularly useful when many determinations of the same sort are required. in !colorimetric! analyses the substance to be determined is converted into some compound which imparts to its solutions a distinct color, the intensity of which must vary in direct proportion to the amount of the compound in the solution. such solutions are compared with respect to depth of color with standard solutions containing known amounts of the colored compound, or of other similar color-producing substance which has been found acceptable as a color standard. colorimetric methods are, in general, restricted to the determinations of very small quantities, since only in dilute solutions are accurate comparisons of color possible. general directions the following paragraphs should be read carefully and thoughtfully. a prime essential for success as an analyst is attention to details and the avoidance of all conditions which could destroy, or even lessen, confidence in the analyses when completed. the suggestions here given are the outcome of much experience, and their adoption will tend to insure permanently work of a high grade, while neglect of them will often lead to disappointment and loss of time. accuracy and economy of time the fundamental conception of quantitative analysis implies a necessity for all possible care in guarding against loss of material or the introduction of foreign matter. the laboratory desk, and all apparatus, should be scrupulously neat and clean at all times. a sponge should always be ready at hand, and desk and filter-stands should be kept dry and in good order. funnels should never be allowed to drip upon the base of the stand. glassware should always be wiped with a clean, lintless towel just before use. all filters and solutions should be covered to protect them from dust, just as far as is practicable, and every drop of solution or particle of precipitate must be regarded as invaluable for the success of the analysis. an economical use of laboratory hours is best secured by acquiring a thorough knowledge of the character of the work to be done before undertaking it, and then by so arranging the work that no time shall be wasted during the evaporation of liquids and like time-consuming operations. to this end the student should read thoughtfully not only the !entire! procedure, but the explanatory notes as well, before any step is taken in the analysis. the explanatory notes furnish, in general, the reasons for particular steps or precautions, but they also occasionally contain details of manipulation not incorporated, for various reasons, in the procedure. these notes follow the procedures at frequent intervals, and the exact points to which they apply are indicated by references. the student should realize that a !failure to study the notes will inevitably lead to mistakes, loss of time, and an inadequate understanding of the subject!. all analyses should be made in duplicate, and in general a close agreement of results should be expected. it should, however, be remembered that a close concordance of results in "check analyses" is not conclusive evidence of the accuracy of those results, although the probability of their accuracy is, of course, considerably enhanced. the satisfaction in obtaining "check results" in such analyses must never be allowed to interfere with the critical examination of the procedure employed, nor must they ever be regarded as in any measure a substitute for absolute truth and accuracy. in this connection it must also be emphasized that only the operator himself can know the whole history of an analysis, and only he can know whether his work is worthy of full confidence. no work should be continued for a moment after such confidence is lost, but should be resolutely discarded as soon as a cause for distrust is fully established. the student should, however, determine to put forth his best efforts in each analysis; it is well not to be too ready to condone failures and to "begin again," as much time is lost in these fruitless attempts. nothing less than !absolute integrity! is or can be demanded of a quantitative analyst, and any disregard of this principle, however slight, is as fatal to success as lack of chemical knowledge or inaptitude in manipulation can possibly be. notebooks notebooks should contain, beside the record of observations, descriptive notes. all records of weights should be placed upon the right-hand page, while that on the left is reserved for the notes, calculations of factors, or the amount of reagents required. the neat and systematic arrangement of the records of analyses is of the first importance, and is an evidence of careful work and an excellent credential. of two notebooks in which the results may be, in fact, of equal value as legal evidence, that one which is neatly arranged will carry with it greater weight. all records should be dated, and all observations should be recorded at once in the notebook. the making of records upon loose paper is a practice to be deprecated, as is also that of copying original entries into a second notebook. the student should accustom himself to orderly entries at the time of observation. several sample pages of systematic records are to be found in the appendix. these are based upon experience; but other arrangements, if clear and orderly, may prove equally serviceable. the student is advised to follow the sample pages until he is in a position to plan out a system of his own. reagents the habit of carefully testing reagents, including distilled water, cannot be too early acquired or too constantly practiced; for, in spite of all reasonable precautionary measures, inferior chemicals will occasionally find their way into the stock room, or errors will be made in filling reagent bottles. the student should remember that while there may be others who share the responsibility for the purity of materials in the laboratory of an institution, the responsibility will later be one which he must individually assume. the stoppers of reagent bottles should never be laid upon the desk, unless upon a clean watch-glass or paper. the neck and mouth of all such bottles should be kept scrupulously clean, and care taken that no confusion of stoppers occurs. wash-bottles wash-bottles for distilled water should be made from flasks of about cc. capacity and be provided with gracefully bent tubes, which should not be too long. the jet should be connected with the tube entering the wash-bottle by a short piece of rubber tubing in such a way as to be flexible, and should deliver a stream about one millimeter in diameter. the neck of the flask may be wound with cord, or covered with wash-leather, for greater comfort when hot water is used. it is well to provide several small wash-bottles for liquids other than distilled water, which should invariably be clearly labeled. transfer of liquids liquids should never be transferred from one vessel to another, nor to a filter, without the aid of a stirring rod held firmly against the side or lip of the vessel. when the vessel is provided with a lip it is not usually necessary to use other means to prevent the loss of liquid by running down the side; whenever loss seems imminent a !very thin! layer of vaseline, applied with the finger to the edge of the vessel, will prevent it. the stirring rod down which the liquid runs should never be drawn upward in such a way as to allow the solution to collect on the under side of the rim or lip of a vessel. the number of transfers of liquids from one vessel to another during an analysis should be as small as possible to avoid the risk of slight losses. each vessel must, of course, be completely washed to insure the transfer of all material; but it should be remembered that this can be accomplished better by the use of successive small portions of wash-water (perhaps - cc.), if each wash-water is allowed to drain away for a few seconds, than by the addition of large amounts which unnecessarily increase the volume of the solutions, causing loss of time in subsequent filtrations or evaporations. all stirring rods employed in quantitative analyses should be rounded at the ends by holding them in the flame of a burner until they begin to soften. if this is not done, the rods will scratch the inner surface of beakers, causing them to crack on subsequent heating. evaporation of liquids the greatest care must be taken to prevent loss of solutions during processes of evaporation, either from too violent ebullition, from evaporation to dryness and spattering, or from the evolution of gas during the heating. in general, evaporation upon the steam bath is to be preferred to other methods on account of the impossibility of loss by spattering. if the steam baths are well protected from dust, solutions should be left without covers during evaporation; but solutions which are boiled upon the hot plate, or from which gases are escaping, should invariably be covered. in any case a watch-glass may be supported above the vessel by means of a glass triangle, or other similar device, and the danger of loss of material or contamination by dust thus be avoided. it is obvious that evaporation is promoted by the use of vessels which admit of the exposure of a broad surface to the air. liquids which contain suspended matter (precipitates) should always be cautiously heated, since the presence of the solid matter is frequently the occasion of violent "bumping," with consequent risk to apparatus and analysis. part ii volumetric analysis the processes of volumetric analysis are, in general, simpler than those of gravimetric analysis and accordingly serve best as an introduction to the practice of quantitative analysis. for their execution there are required, first, an accurate balance with which to weigh the material for analysis; second, graduated instruments in which to measure the volume of the solutions employed; third, standard solutions, that is, solutions the value of which is accurately known; and fourth, indicators, which will furnish accurate evidence of the point at which the desired reaction is completed. the nature of the indicators employed will be explained in connection with the different analyses. the process whereby a !standard solution! is brought into reaction is called !titration!, and the point at which the reaction is exactly completed is called the !end-point!. the !indicator! should show the !end-point! of the !titration!. the volume of the standard solution used then furnishes the measure of the substance to be determined as truly as if that substance had been separated and weighed. the processes of volumetric analysis are easily classified, according to their character, into: i. neutralization methods; such, for example, as those of acidimetry and alkalimetry. ii. oxidation processes; as exemplified in the determination of ferrous iron by its oxidation with potassium bichromate. iii. precipitation methods; of which the titration for silver with potassium thiocyanate solution is an illustration. from a somewhat different standpoint the methods in each case may be subdivided into (a) direct methods, in which the substance to be measured is directly determined by titration to an end-point with a standard solution; and (b) indirect methods, in which the substance itself is not measured, but a quantity of reagent is added which is known to be an excess with respect to a specific reaction, and the unused excess determined by titration. examples of the latter class will be pointed out as they occur in the procedures. measuring instruments the analytical balance for a complete discussion of the physical principles underlying the construction and use of balances, and the various methods of weighing, the student is referred to larger manuals of quantitative analysis, such as those of fresenius, or treadwell-hall, and particularly to the admirable discussion of this topic in morse's !exercises in quantitative chemistry!. the statements and rules of procedure which follow are sufficient for the intelligent use of an analytical balance in connection with processes prescribed in this introductory manual. it is, however, imperative that the student should make himself familiar with these essential features of the balance, and its use. he should fully realize that the analytical balance is a delicate instrument which will render excellent service under careful treatment, but such treatment is an essential condition if its accuracy is to be depended upon. he should also understand that no set of rules, however complete, can do away with the necessity for a sense of personal responsibility, since by carelessness he can render inaccurate not only his own analyses, but those of all other students using the same balance. before making any weighings the student should seat himself before a balance and observe the following details of construction: . the balance case is mounted on three brass legs, which should preferably rest in glass cups, backed with rubber to prevent slipping. the front legs are adjustable as to height and are used to level the balance case; the rear leg is of permanent length. . the front of the case may be raised to give access to the balance. in some makes doors are provided also at the ends of the balance case. . the balance beam is mounted upon an upright in the center of the case on the top of which is an inlaid agate plate. to the center of the beam there is attached a steel or agate knife-edge on which the beam oscillates when it rests on the agate plate. . the balance beam, extending to the right and left, is graduated along its upper edge, usually on both sides, and has at its extremities two agate or steel knife-edges from which are suspended stirrups. each of these stirrups has an agate plate which, when the balance is in action, rests upon the corresponding knife-edge of the beam. the balance pans are suspended from the stirrups. . a pointer is attached to the center of the beam, and as the beam oscillates this pointer moves in front of a scale near the base of the post. . at the base of the post, usually in the rear, is a spirit-level. . within the upright is a mechanism, controlled by a knob at the front of the balance case, which is so arranged as to raise the entire beam slightly above the level at which the knife-edges are in contact with the agate plates. when the balance is not in use the beam must be supported by this device since, otherwise, the constant jarring to which a balance is inevitably subjected, will soon dull the knife-edges, and lessen the sensitiveness of the balance. . a small weight, or bob, is attached to the pointer (or sometimes to the beam) by which the center of gravity of the beam and its attachments may be regulated. the center of gravity must lie very slightly below the level of the agate plates to secure the desired sensitiveness of the balance. this is provided for when the balance is set up and very rarely requires alteration. the student should never attempt to change this adjustment. . below the balance pans are two pan-arrests operated by a button from the front of the case. these arrests exert a very slight upward pressure upon the pans and minimize the displacement of the beam when objects or weights are being placed upon the pans. . a movable rod, operated from one end of the balance case, extends over the balance beam and carries a small wire weight, called a rider. by means of this rod the rider can be placed upon any desired division of the scale on the balance beam. each numbered division on the beam corresponds to one milligram, and the use of the rider obviates the placing of very small fractional weights on the balance pan. if a new rider is purchased, or an old one replaced, care must be taken that its weight corresponds to the graduations on the beam of the balance on which it is to be used. the weight of the rider in milligrams must be equal to the number of large divisions ( , , , or ) between the central knife-edge and the knife-edge at the end of the beam. it should be noted that on some balances the last division bears no number. each new rider should be tested against a or -milligram weight. in some of the most recent forms of the balance a chain device replaces the smaller weights and the use of the rider as just described. before using a balance, it is always best to test its adjustment. this is absolutely necessary if the balance is used by several workers; it is always a wise precaution under any conditions. for this purpose, brush off the balance pans with a soft camel's hair brush. then note ( ) whether the balance is level; ( ) that the mechanism for raising and lowering the beams works smoothly; ( ) that the pan-arrests touch the pans when the beam is lowered; and ( ) that the needle swings equal distances on either side of the zero-point when set in motion without any load on the pans. if the latter condition is not fulfilled, the balance should be adjusted by means of the adjusting screw at the end of the beam unless the variation is not more than one division on the scale; it is often better to make a proper allowance for this small zero error than to disturb the balance by an attempt at correction. unless a student thoroughly understands the construction of a balance he should never attempt to make adjustments, but should apply to the instructor in charge. the object to be weighed should be placed on the left-hand balance pan and the weights upon the right-hand pan. every substance which could attack the metal of the balance pan should be weighed upon a watch-glass, and all objects must be dry and cold. a warm body gives rise to air currents which vitiate the accuracy of the weighing. the weights should be applied in the order in which they occur in the weight-box (not at haphazard), beginning with the largest weight which is apparently required. after a weight has been placed upon the pan the beam should be lowered upon its knife-edges, and, if necessary, the pan-arrests depressed. the movement of the pointer will then indicate whether the weight applied is too great or too small. when the weight has been ascertained, by the successive addition of small weights, to the nearest or milligrams, the weighing is completed by the use of the rider. the correct weight is that which causes the pointer to swing an equal number of divisions to the right and left of the zero-point, when the pointer traverses not less than five divisions on either side. the balance case should always be closed during the final weighing, while the rider is being used, to protect the pans from the effect of air currents. before the final determination of an exact weight the beam should always be lifted from the knife-edges and again lowered into place, as it frequently happens that the scale pans are, in spite of the pan-arrests, slightly twisted by the impact of the weights, the beam being thereby virtually lengthened or shortened. lifting the beam restores the proper alignment. the beam should never be set in motion by lowering it forcibly upon the knife-edges, nor by touching the pans, but rather by lifting the rider (unless the balance be provided with some of the newer devices for the purpose), and the swing should be arrested only when the needle approaches zero on the scale, otherwise the knife-edges become dull. for the same reason the beam should never be left upon its knife-edges, nor should weights be removed from or placed on the pans without supporting the beam, except in the case of the small fractional weights. when the process of weighing has been completed, the weight should be recorded in the notebook by first noting the vacant spaces in the weight-box, and then checking the weight by again noting the weights as they are removed from the pan. this practice will often detect and avoid errors. it is obvious that the weights should always be returned to their proper places in the box, and be handled only with pincers. it should be borne in mind that if the mechanism of a balance is deranged or if any substance is spilled upon the pans or in the balance case, the damage should be reported at once. in many instances serious harm can be averted by prompt action when delay might ruin the balance. samples for analysis are commonly weighed in small tubes with cork stoppers. since the stoppers are likely to change in weight from the varying amounts of moisture absorbed from the atmosphere, it is necessary to confirm the recorded weight of a tube which has been unused for some time before weighing out a new portion of substance from it. weights the sets of weights commonly used in analytical chemistry range from grams to milligrams. the weights from grams to gram are usually of brass, lacquered or gold plated. the fractional weights are of german silver, gold, platinum or aluminium. the rider is of platinum or aluminium wire. the sets of weights purchased from reputable dealers are usually sufficiently accurate for analytical work. it is not necessary that such a set should be strictly exact in comparison with the absolute standard of weight, provided they are relatively correct among themselves, and provided the same set of weights is used in all weighings made during a given analysis. the analyst should assure himself that the weights in a set previously unfamiliar to him are relatively correct by a few simple tests. for example, he should make sure that in his set two weights of the same denomination (i.e., two -gram weights, or the two -milligram weights) are actually equal and interchangeable, or that the -milligram weight is equal to the sum of the , , , , , and -milligram weights combined, and so on. if discrepancies of more than a few tenths of a milligram (depending upon the total weight involved) are found, the weights should be returned for correction. the rider should also be compared with a or -milligram weight. in an instructional laboratory appreciable errors should be reported to the instructor in charge for his consideration. when the highest accuracy is desired, the weights may be calibrated and corrections applied. a calibration procedure is described in a paper by t.w. richards, !j. am. chem. soc.!, , , and in many large text-books. weights are inevitably subject to corrosion if not properly protected at all times, and are liable to damage unless handled with great care. it is obvious that anything which alters the weight of a single piece in an analytical set will introduce an error in every weighing made in which that piece is used. this source of error is often extremely obscure and difficult to detect. the only safeguard against such errors is to be found in scrupulous care in handling and protection on the part of the analyst, and an equal insistence that if several analysts use the same set of weights, each shall realize his responsibility for the work of others as well as his own. burettes a burette is made from a glass tube which is as uniformly cylindrical as possible, and of such a bore that the divisions which are etched upon its surface shall correspond closely to actual contents. the tube is contracted at one extremity, and terminates in either a glass stopcock and delivery-tube, or in such a manner that a piece of rubber tubing may be firmly attached, connecting a delivery-tube of glass. the rubber tubing is closed by means of a glass bead. burettes of the latter type will be referred to as "plain burettes." the graduations are usually numbered in cubic centimeters, and the latter are subdivided into tenths. one burette of each type is desirable for the analytical procedures which follow. preparation of a burette for use the inner surface of a burette must be thoroughly cleaned in order that the liquid as drawn out may drain away completely, without leaving drops upon the sides. this is best accomplished by treating the inside of the burette with a warm solution of chromic acid in concentrated sulphuric acid, applied as follows: if the burette is of the "plain" type, first remove the rubber tip and force the lower end of the burette into a medium-sized cork stopper. nearly fill the burette with the chromic acid solution, close the upper end with a cork stopper and tip the burette backward and forward in such a way as to bring the solution into contact with the entire inner surface. remove the stopper and pour the solution into a stock bottle to be kept for further use, and rinse out the burette with water several times. unless the water then runs freely from the burette without leaving drops adhering to the sides, the process must be repeated (note ). if the burette has a glass stopcock, this should be removed after the cleaning and wiped, and also the inside of the ground joint. the surface of the stopcock should then be smeared with a thin coating of vaseline and replaced. it should be attached to the burette by means of a wire, or elastic band, to lessen the danger of breakage. fill the burettes with distilled water, and allow the water to run out through the stopcock or rubber tip until convinced that no air bubbles are inclosed (note ). fill the burette to a point above the zero-point and draw off the water until the meniscus is just below that mark. it is then ready for calibration. [note : the inner surface of the burette must be absolutely clean if the liquid is to run off freely. chromic acid in sulphuric acid is usually found to be the best cleansing agent, but the mixture must be warm and concentrated. the solution can be prepared by pouring over a few crystals of potassium bichromate a little water and then adding concentrated sulphuric acid.] [note : it is always necessary to insure the absence of air bubbles in the tips or stopcocks. the treatment described above will usually accomplish this, but, in the case of plain burettes it is sometimes better to allow a little of the liquid to flow out of the tip while it is bent upwards. any air which may be entrapped then rises with the liquid and escapes. if air bubbles escape during subsequent calibration or titration, an error is introduced which vitiates the results.] reading of a burette all liquids when placed in a burette form what is called a meniscus at their upper surfaces. in the case of liquids such as water or aqueous solutions this meniscus is concave, and when the liquids are transparent accurate readings are best obtained by observing the position on the graduated scales of the lowest point of the meniscus. this can best be done as follows: wrap around the burette a piece of colored paper, the straight, smooth edges of which are held evenly together with the colored side next to the burette (note ). hold the paper about two small divisions below the meniscus and raise or lower the level of the eyes until the edge of the paper at the back of the burette is just hidden from the eye by that in front (note ). note the position of the lowest point of the curve of the meniscus, estimating the tenths of the small divisions, thus reading its position to hundredths of a cubic centimeter. [note : the ends of the colored paper used as an aid to accurate readings may be fastened together by means of a gummed label. the paper may then remain on the burette and be ready for immediate use by sliding it up or down, as required.] [note : to obtain an accurate reading the eye must be very nearly on a level with the meniscus. this is secured by the use of the paper as described. the student should observe by trial how a reading is affected when the meniscus is viewed from above or below. the eye soon becomes accustomed to estimating the tenths of the divisions. if the paper is held as directed, two divisions below the meniscus, one whole division is visible to correct the judgment. it is not well to attempt to bring the meniscus exactly to a division mark on the burette. such readings are usually less accurate than those in which the tenths of a division are estimated.] calibration of glass measuring devices if accuracy of results is to be attained, the correctness of all measuring instruments must be tested. none of the apparatus offered for sale can be implicitly relied upon except those more expensive instruments which are accompanied by a certificate from the !national bureau of standards! at washington, or other equally authentic source. the bore of burettes is subject to accidental variations, and since the graduations are applied by machine without regard to such variations of bore, local errors result. the process of testing these instruments is called !calibration!. it is usually accomplished by comparing the actual weight of water contained in the instrument with its apparent volume. there is, unfortunately, no uniform standard of volume which has been adopted for general use in all laboratories. it has been variously proposed to consider the volume of grams of water at °, . °, °, . °, and even °c., as a liter for practical purposes, and to consider the cubic centimeter to be one one-thousandth of that volume. the true liter is the volume of grams of water at °c.; but this is obviously a lower temperature than that commonly found in laboratories, and involves the constant use of corrections if taken as a laboratory standard. many laboratories use . °c. ( ° f.) as the working standard. it is plain that any temperature which is deemed most convenient might be chosen for a particular laboratory, but it cannot be too strongly emphasized that all measuring instruments, including burettes, pipettes, and flasks, should be calibrated at that temperature in order that the contents of each burette, pipette, etc., shall be comparable with that of every other instrument, thus permitting general interchange and substitution. for example, it is obvious that if it is desired to remove exactly cc. from a solution which has been diluted to cc. in a graduated flask, the cc. flask or pipette used to remove the fractional portion must give a correct reading at the same temperature as the cc. flask. similarly, a burette used for the titration of the cc. of solution removed should be calibrated under the same conditions as the measuring flasks or pipettes employed with it. the student should also keep constantly in mind the fact that all volumetric operations, to be exact, should be carried out as nearly at a constant temperature as is practicable. the spot selected for such work should therefore be subject to a minimum of temperature variations, and should have as nearly the average temperature of the laboratory as is possible. in all work, whether of calibration, standardization, or analysis, the temperature of the liquids employed must be taken into account, and if the temperature of these liquids varies more than ° or ° from the standard temperature chosen for the laboratory, corrections must be applied for errors due to expansion or contraction, since volumes of a liquid measured at different times are comparable only under like conditions as to temperature. data to be used for this purpose are given in the appendix. neglect of this correction is frequently an avoidable source of error and annoyance in otherwise excellent work. the temperature of all solutions at the time of standardization should be recorded to facilitate the application of temperature corrections, if such are necessary at any later time. calibration of the burettes two burettes, one at least of which should have a glass stopper, are required throughout the volumetric work. both burettes should be calibrated by the student to whom they are assigned. procedure.--weigh a cc., flat-bottomed flask (preferably a light-weight flask), which must be dry on the outside, to the nearest centigram. record the weight in the notebook. (see appendix for suggestions as to records.) place the flask under the burette and draw out into it about cc. of water, removing any drop on the tip by touching it against the inside of the neck of the flask. do not attempt to stop exactly at the cc. mark, but do not vary more than . cc. from it. note the time, and at the expiration of three minutes (or longer) read the burette accurately, and record the reading in the notebook (note ). meanwhile weigh the flask and water to centigrams and record its weight (note ). draw off the liquid from cc. to about cc. into the same flask without emptying it; weigh, and at the expiration of three minutes take the reading, and so on throughout the length of the burette. when it is completed, refill the burette and check the first calibration. the differences in readings represent the apparent volumes, the differences in weights the true volumes. for example, if an apparent volume of . cc. is found to weigh . grams, it may be assumed with sufficient accuracy that the error in that cc. amounts to - . cc., or - . for each cubic centimeter (note ). in the calculation of corrections the temperature of the water must be taken into account, if this varies more than °c. from the laboratory standard temperature, consulting the table of densities of water in the appendix. from the final data, plot the corrections to be applied so that they may be easily read for each cubic centimeter throughout the burette. the total correction at each cc. may also be written on the burette with a diamond, or etching ink, for permanence of record. [note : a small quantity of liquid at first adheres to the side of even a clean burette. this slowly unites with the main body of liquid, but requires an appreciable time. three minutes is a sufficient interval, but not too long, and should be adopted in every instance throughout the whole volumetric practice before final readings are recorded.] [note : a comparatively rough balance, capable of weighing to centigrams, is sufficiently accurate for use in calibrations, for a moment's reflection will show that it would be useless to weigh the water with an accuracy greater than that of the readings taken on the burette. the latter cannot exceed . cc. in accuracy, which corresponds to . gram. the student should clearly understand that !all other weighings!, except those for calibration, should be made accurately to . gram, unless special directions are given to the contrary. corrections for temperature variations of less than °c. are negligible, as they amount to less than . gram for each grams of water withdrawn.] [note : should the error discovered in any interval of cc. on the burette exceed . cc., it is advisable to weigh small portions (even cc.) to locate the position of the variation of bore in the tube rather than to distribute the correction uniformly over the corresponding cc. the latter is the usual course for small corrections, and it is convenient to calculate the correction corresponding to each cubic centimeter and to record it in the form of a table or calibration card, or to plot a curve representing the values. burettes may also be calibrated by drawing off the liquid in successive portions through a cc. pipette which has been accurately calibrated, as a substitute for weighing. if many burettes are to be tested, this is a more rapid method.] pipettes a !pipette! may consist of a narrow tube, in the middle of which is blown a bulb of a capacity a little less than that which it is desired to measure by the pipette; or it may be a miniature burette, without the stopcock or rubber tip at the lower extremity. in either case, the flow of liquid is regulated by the pressure of the finger on the top, which governs the admission of the air. pipettes are usually already graduated when purchased, but they require calibration for accurate work. calibration of pipettes procedure.--clean the pipette. draw distilled water into it by sucking at the upper end until the water is well above the graduation mark. quickly place the forefinger over the top of the tube, thus preventing the entrance of air and holding the water in the pipette. cautiously admit a little air by releasing the pressure of the finger, and allow the level of the water to fall until the lowest point of the meniscus is level with the graduation. hold the water at that point by pressure of the finger and then allow the water to run out from the pipette into a small tared, or weighed, beaker or flask. after a definite time interval, usually two to three minutes, touch the end of the pipette against the side of the beaker or flask to remove any liquid adhering to it (note ). the increase in weight of the flask in grams represents the volume of the water in cubic centimeters delivered by the pipette. calculate the necessary correction. [note : a definite interval must be allowed for draining, and a definite practice adopted with respect to the removal of the liquid which collects at the end of the tube, if the pipette is designed to deliver a specific volume when emptied. this liquid may be removed at the end of a definite interval either by touching the side of the vessel or by gently blowing out the last drops. either practice, when adopted, must be uniformly adhered to.] flasks !graduated or measuring flasks! are similar to the ordinary flat-bottomed flasks, but are provided with long, narrow necks in order that slight variations in the position of the meniscus with respect to the graduation shall represent a minimum volume of liquid. the flasks must be of such a capacity that, when filled with the specified volume, the liquid rises well into the neck. graduation of flasks it is a general custom to purchase the flasks ungraduated and to graduate them for use under standard conditions selected for the laboratory in question. they may be graduated for "contents" or "delivery." when graduated for "contents" they contain a specified volume when filled to the graduation at a specified temperature, and require to be washed out in order to remove all of the solution from the flask. flasks graduated for "delivery" will deliver the specified volume of a liquid without rinsing. a flask may, of course, be graduated for both contents and delivery by placing two graduation marks upon it. procedure.--to calibrate a flask for !contents!, proceed as follows: clean the flask, using a chromic acid solution, and dry it carefully outside and inside. tare it accurately; pour water into the flask until the weight of the latter counterbalances weights on the opposite pan which equal in grams the number of cubic centimeters of water which the flask is to contain. remove any excess of water with the aid of filter paper (note ). take the flask from the balance, stopper it, place it in a bath at the desired temperature, usually . ° or . °c., and after an hour mark on the neck with a diamond the location of the lowest point of the meniscus (note ). the mark may be etched upon the flask by hydrofluoric acid, or by the use of an etching ink now commonly sold on the market. to graduate a flask which is designed to !deliver! a specified volume, proceed as follows: clean the flask as usual and wipe all moisture from the outside. fill it with distilled water. pour out the water and allow the water to drain from the flask for three minutes. counterbalance the flask with weights to the nearest centigram. add weights corresponding in grams to the volume desired, and add distilled water to counterbalance these weights. an excess of water, or water adhering to the neck of the flask, may be removed by means of a strip of clean filter paper. stopper the flask, place it in a bath at . °c. or . °c. and, after an hour, mark the location of the lowest point of the meniscus, as described above. [note : the allowable error in counterbalancing the water and weights varies with the volume of the flask. it should not exceed one ten-thousandth of the weight of water.] [note : other methods are employed which involve the use of calibrated apparatus from which the desired volume of water may be run into the dry flask and the position of the meniscus marked directly upon it. for a description of a procedure which is most convenient when many flasks are to be calibrated, the student is referred to the !am. chem j.!, , .] general directions for volumetric analyses it cannot be too strongly emphasized that for the success of analyses uniformity of practice must prevail throughout all volumetric work with respect to those factors which can influence the accuracy of the measurement of liquids. for example, whatever conditions are imposed during the calibration of a burette, pipette, or flask (notably the time allowed for draining), must also prevail whenever the flask or burette is used. the student should also be constantly watchful to insure parallel conditions during both standardization and analyst with respect to the final volume of liquid in which a titration takes place. the value of a standard solution is only accurate under the conditions which prevailed when it was standardized. it is plain that the standard solutions must be scrupulously protected from concentration or dilution, after their value has been established. accordingly, great care must be taken to thoroughly rinse out all burettes, flasks, etc., with the solutions which they are to contain, in order to remove all traces of water or other liquid which could act as a diluent. it is best to wash out a burette at least three times with small portions of a solution, allowing each to run out through the tip before assuming that the burette is in a condition to be filled and used. it is, of course, possible to dry measuring instruments in a hot closet, but this is tedious and unnecessary. to the same end, all solutions should be kept stoppered and away from direct sunlight or heat. the bottles should be shaken before use to collect any liquid which may have distilled from the solution and condensed on the sides. the student is again reminded that variations in temperature of volumetric solutions must be carefully noted, and care should always be taken that no source of heat is sufficiently near the solutions to raise the temperature during use. much time may be saved by estimating the approximate volume of a standard solution which will be required for a titration (if the data are obtainable) before beginning the operation. it is then possible to run in rapidly approximately the required amount, after which it is only necessary to determine the end-point slowly and with accuracy. in such cases, however, the knowledge of the approximate amount to be required should never be allowed to influence the judgment regarding the actual end-point. standard solutions the strength or value of a solution for a specific reaction is determined by a procedure called !standardization!, in which the solution is brought into reaction with a definite weight of a substance of known purity. for example, a definite weight of pure sodium carbonate may be dissolved in water, and the volume of a solution of hydrochloric acid necessary to exactly neutralize the carbonate accurately determined. from these data the strength or value of the acid is known. it is then a !standard solution!. normal solutions standard solutions may be made of a purely empirical strength dictated solely by convenience of manipulation, or the concentration may be chosen with reference to a system which is applicable to all solutions, and based upon chemical equivalents. such solutions are called !normal solutions! and contain such an amount of the reacting substance per liter as is equivalent in its chemical action to one gram of hydrogen, or eight grams of oxygen. solutions containing one half, one tenth, or one one-hundredth of this quantity per liter are called, respectively, half-normal, tenth-normal, or hundredth-normal solutions. since normal solutions of various reagents are all referred to a common standard, they have an advantage not possessed by empirical solutions, namely, that they are exactly equivalent to each other. thus, a liter of a normal solution of an acid will exactly neutralize a liter of a normal alkali solution, and a liter of a normal oxidizing solution will exactly react with a liter of a normal reducing solution, and so on. beside the advantage of uniformity, the use of normal solutions simplifies the calculations of the results of analyses. this is particularly true if, in connection with the normal solution, the weight of substance for analysis is chosen with reference to the atomic or molecular weight of the constituent to be determined. (see problem .) the preparation of an !exactly! normal, half-normal, or tenth-normal solution requires considerable time and care. it is usually carried out only when a large number of analyses are to be made, or when the analyst has some other specific purpose in view. it is, however, a comparatively easy matter to prepare standard solutions which differ but slightly from the normal or half-normal solution, and these have the advantage of practical equality; that is, two approximately half-normal solutions are more convenient to work with than two which are widely different in strength. it is, however, true that some of the advantage which pertains to the use of normal solutions as regards simplicity of calculations is lost when using these approximate solutions. the application of these general statements will be made clear in connection with the use of normal solutions in the various types of volumetric processes which follow. i. neutralization methods alkalimetry and acidimetry general discussion !standard acid solutions! may be prepared from either hydrochloric, sulphuric, or oxalic acid. hydrochloric acid has the advantage of forming soluble compounds with the alkaline earths, but its solutions cannot be boiled without danger of loss of strength; sulphuric acid solutions may be boiled without loss, but the acid forms insoluble sulphates with three of the alkaline earths; oxalic acid can be accurately weighed for the preparation of solutions, and its solutions may be boiled without loss, but it forms insoluble oxalates with three of the alkaline earths and cannot be used with certain of the indicators. !standard alkali solutions! may be prepared from sodium or potassium hydroxide, sodium carbonate, barium hydroxide, or ammonia. of sodium and potassium hydroxide, it may be said that they can be used with all indicators, and their solutions may be boiled, but they absorb carbon dioxide readily and attack the glass of bottles, thereby losing strength; sodium carbonate may be weighed directly if its purity is assured, but the presence of carbonic acid from the carbonate is a disadvantage with many indicators; barium hydroxide solutions may be prepared which are entirely free from carbon dioxide, and such solutions immediately show by precipitation any contamination from absorption, but the hydroxide is not freely soluble in water; ammonia does not absorb carbon dioxide as readily as the caustic alkalies, but its solutions cannot be boiled nor can they be used with all indicators. the choice of a solution must depend upon the nature of the work in hand. a !normal acid solution! should contain in one liter that quantity of the reagent which represents gram of hydrogen replaceable by a base. for example, the normal solution of hydrochloric acid (hcl) should contain . grams of gaseous hydrogen chloride, since that amount furnishes the requisite gram of replaceable hydrogen. on the other hand, the normal solution of sulphuric acid (h_{ }so_{ }) should contain only . grams, i.e., one half of its molecular weight in grams. a !normal alkali solution! should contain sufficient alkali in a liter to replace gram of hydrogen in an acid. this quantity is represented by the molecular weight in grams ( . ) of sodium hydroxide (naoh), while a sodium carbonate solution (na_{ }co_{ }) should contain but one half the molecular weight in grams (i.e., . grams) in a liter of normal solution. half-normal or tenth-normal solutions are employed in most analyses (except in the case of the less soluble barium hydroxide). solutions of the latter strength yield more accurate results when small percentages of acid or alkali are to be determined. indicators it has already been pointed out that the purpose of an indicator is to mark (usually by a change of color) the point at which just enough of the titrating solution has been added to complete the chemical change which it is intended to bring about. in the neutralization processes which are employed in the measurement of alkalies (!alkalimetry!) or acids (!acidimetry!) the end-point of the reaction should, in principle, be that of complete neutrality. expressed in terms of ionic reactions, it should be the point at which the h^{+} ions from an acid[note ] unite with a corresponding number of oh^{-} ions from a base to form water molecules, as in the equation h^{+}, cl^{-} + na^{+}, oh^{-} --> na^{+}, cl^{-} + (h_{ }o). it is not usually possible to realize this condition of exact neutrality, but it is possible to approach it with sufficient exactness for analytical purposes, since substances are known which, in solution, undergo a sharp change of color as soon as even a minute excess of h^{+} or oh^{-} ions are present. some, as will be seen, react sharply in the presence of h^{+} ions, and others with oh^{-} ions. these substances employed as indicators are usually organic compounds of complex structure and are closely allied to the dyestuffs in character. [note : a knowledge on the part of the student of the ionic theory as applied to aqueous solutions of electrolytes is assumed. a brief outline of the more important applications of the theory is given in the appendix.] behavior of organic indicators the indicators in most common use for acid and alkali titrations are methyl orange, litmus, and phenolphthalein. in the following discussion of the principles underlying the behavior of the indicators as a class, methyl orange and phenolphthalein will be taken as types. it has just been pointed out that indicators are bodies of complicated structure. in the case of the two indicators named, the changes which they undergo have been carefully studied by stieglitz (!j. am. chem. soc.!, , ) and others, and it appears that the changes involved are of two sorts: first, a rearrangement of the atoms within the molecule, such as often occurs in organic compounds; and, second, ionic changes. the intermolecular changes cannot appropriately be discussed here, as they involve a somewhat detailed knowledge of the classification and general behavior of organic compounds; they will, therefore, be merely alluded to, and only the ionic changes followed. methyl orange is a representative of the group of indicators which, in aqueous solutions, behave as weak bases. the yellow color which it imparts to solutions is ascribed to the presence of the undissociated base. if an acid, such as hcl, is added to such a solution, the acid reacts with the indicator (neutralizes it) and a salt is formed, as indicated by the equation: (m.o.)^{+}, oh^{-} + h^{+}, cl^{-} --> (m.o.)^{+} cl^{-} + (h_{ }o). this salt ionizes into (m.o.)^{+} (using this abbreviation for the positive complex) and cl^{-}; but simultaneously with this ionization there appears to be an internal rearrangement of the atoms which results in the production of a cation which may be designated as (m'.o'.)^{+}, and it is this which imparts a characteristic red color to the solution. as these changes occur in the presence of even a very small excess of acid (that is, of h^{+} ions), it serves as the desired index of their presence in the solution. if, now, an alkali, such as naoh, is added to this reddened solution, the reverse series of changes takes place. as soon as the free acid present is neutralized, the slightest excess of sodium hydroxide, acting as a strong base, sets free the weak, little-dissociated base of the indicator, and at the moment of its formation it reverts, because of the rearrangement of the atoms, to the yellow form: oh^{-} + (m'.o'.)^{+} --> [m'.o'.oh] --> [m.o.oh]. phenolphthalein, on the other hand, is a very weak, little-dissociated acid, which is colorless in neutral aqueous solution or in the presence of free h^{+} ions. when an alkali is added to such a solution, even in slight excess, the anion of the salt which has formed from the acid of the indicator undergoes a rearrangement of the atoms, and a new ion, (ph')^{+}, is formed, which imparts a pink color to the solution: h^{+}, (ph)^{-} + na^{+}, oh^{-} --> (h_{ }o) + na^{+}, (ph)^{-} --> na^{+}, (ph')^{-} the addition of the slightest excess of an acid to this solution, on the other hand, occasions first the reversion to the colorless ion and then the setting free of the undissociated acid of the indicator: h^{+}, (ph')^{-} --> h^{+}, (ph)^{-} --> (hph). of the common indicators methyl orange is the most sensitive toward alkalies and phenolphthalein toward acids; the others occupy intermediate positions. that methyl orange should be most sensitive toward alkalies is evident from the following considerations: methyl orange is a weak base and, therefore, but little dissociated. it should, then, be formed in the undissociated condition as soon as even a slight excess of oh^{-} ions is present in the solution, and there should be a prompt change from red to yellow as outlined above. on the other hand, it should be an unsatisfactory indicator for use with weak acids (acetic acid, for example) because the salts which it forms with such acids are, like all salts of that type, hydrolyzed to a considerable extent. this hydrolytic change is illustrated by the equation: (m.o.)^{+} c_{ }h_{ }o_{ }^{-} + h^{+}, oh^{-} --> [m.o.oh] + h^{+}, c_{ }h_{ }o_{ }^{-}. comparison of this equation with that on page will make it plain that hydrolysis is just the reverse of neutralization and must, accordingly, interfere with it. salts of methyl orange with weak acids are so far hydrolyzed that the end-point is uncertain, and methyl orange cannot be used in the titration of such acids, while with the very weak acids, such as carbonic acid or hydrogen sulphide (hydrosulphuric acid), the salts formed with methyl orange are, in effect, completely hydrolyzed (i.e., no neutralization occurs), and methyl orange is accordingly scarcely affected by these acids. this explains its usefulness, as referred to later, for the titration of strong acids, such as hydrochloric acid, even in the presence of carbonates or sulphides in solution. phenolphthalein, on the other hand, should be, as it is, the best of the common indicators for use with weak acids. for, since it is itself a weak acid, it is very little dissociated, and its nearly undissociated, colorless molecules are promptly formed as soon as there is any free acid (that is, free h^{+} ions) in the solution. this indicator cannot, however, be successfully used with weak bases, even ammonium hydroxide; for, since it is weak acid, the salts which it forms with weak alkalies are easily hydrolyzed, and as a consequence of this hydrolysis the change of color is not sharp. this indicator can, however, be successfully used with strong bases, because the salts which it forms with such bases are much less hydrolyzed and because the excess of oh^{-} ions from these bases also diminishes the hydrolytic action of water. this indicator is affected by even so weak an acid as carbonic acid, which must be removed by boiling the solution before titration. it is the indicator most generally employed for the titration of organic acids. in general, it may be stated that when a strong acid, such as hydrochloric, sulphuric or nitric acid, is titrated against a strong base, such as sodium hydroxide, potassium hydroxide, or barium hydroxide, any of these indicators may be used, since very little hydrolysis ensues. it has been noted above that the color change does not occur exactly at theoretical neutrality, from which it follows that no two indicators will show exactly the same end-point when acids and alkalis are brought together. it is plain, therefore, that the same indicator must be employed for both standardization and analysis, and that, if this is done, accurate results are obtainable. the following table (note ) illustrates the variations in the volume of an alkali solution (tenth-normal sodium hydroxide) required to produce an alkaline end-point when run into cc. of tenth-normal sulphuric acid, diluted with cc. of water, using five drops of each of the different indicator solutions. ==================================================================== | | | | indicator | n/ | n/ |color in acid|color in alka- | h_{ }so_{ }| naoh |solution |line solution _______________|____________|__________|_____________|______________ | cc. | cc. | cc. | methyl orange | | . | red | yellow lacmoid | | . | red | blue litmus | | . | red | blue rosalic acid | | . | yellow | pink phenolphthalein| | . | colorless | pink ==================================================================== it should also be stated that there are occasionally secondary changes, other than those outlined above, which depend upon the temperature and concentration of the solutions in which the indicators are used. these changes may influence the sensitiveness of an indicator. it is important, therefore, to take pains to use approximately the same volume of solution when standardizing that is likely to be employed in analysis; and when it is necessary, as is often the case, to titrate the solution at boiling temperature, the standardization should take place under the same conditions. it is also obvious that since some acid or alkali is required to react with the indicator itself, the amount of indicator used should be uniform and not excessive. usually a few drops of solution will suffice. the foregoing statements with respect to the behavior of indicators present the subject in its simplest terms. many substances other than those named may be employed, and they have been carefully studied to determine the exact concentration of h^{+} ions at which the color change of each occurs. it is thus possible to select an indicator for a particular purpose with considerable accuracy. as data of this nature do not belong in an introductory manual, reference is made to the following papers or books in which a more extended treatment of the subject may be found: washburn, e.w., principles of physical chemistry (mcgraw-hill book co.), (second edition, ), pp. - . prideaux, e.b.r., the theory and use of indicators (constable & co., ltd.), ( ). salm, e., a study of indicators, !z. physik. chem.!, ( ), - . stieglitz, j., theories of indicators, !j. am. chem. soc.!, ( ), - . noyes, a.a., quantitative applications of the theory of indicators to volumetric analysis, !j. am. chem. soc.!, ( ), - . bjerrum, n., general discussion, !z. anal. chem.!, ( ), - and - . ostwald, w., colloid chemistry of indicators, !z. chem. ind. kolloide!, ( ), - . [note : glaser, !indikatoren der acidimetrie und alkalimetrie!. wiesbaden, .] preparation of indicator solutions a !methyl orange solution! for use as an indicator is commonly made by dissolving . - . gram of the compound (also known as orange iii) in a few cubic centimeters of alcohol and diluting with water to cc. a good grade of material should be secured. it can be successfully used for the titration of hydrochloric, nitric, sulphuric, phosphoric, and sulphurous acids, and is particularly useful in the determination of bases, such as sodium, potassium, barium, calcium, and ammonium hydroxides, and even many of the weak organic bases. it can also be used for the determination, by titration with a standard solution of a strong acid, of the salts of very weak acids, such as carbonates, sulphides, arsenites, borates, and silicates, because the weak acids which are liberated do not affect the indicator, and the reddening of the solution does not take place until an excess of the strong acid is added. it should be used in cold, not too dilute, solutions. its sensitiveness is lessened in the presence of considerable quantities of the salts of the alkalies. a !phenolphthalein solution! is prepared by dissolving gram of the pure compound in cc. of per cent alcohol. this indicator is particularly valuable in the determination of weak acids, especially organic acids. it cannot be used with weak bases, even ammonia. it is affected by carbonic acid, which must, therefore, be removed by boiling when other acids are to be measured. it can be used in hot solutions. some care is necessary to keep the volume of the solutions to be titrated approximately uniform in standardization and in analysis, and this volume should not in general exceed - cc. for the best results, since the compounds formed by the indicator undergo changes in very dilute solution which lessen its sensitiveness. the preparation of a !solution of litmus! which is suitable for use as an indicator involves the separation from the commercial litmus of azolithmine, the true coloring principle. soluble litmus tablets are often obtainable, but the litmus as commonly supplied to the market is mixed with calcium carbonate or sulphate and compressed into lumps. to prepare a solution, these are powdered and treated two or three times with alcohol, which dissolves out certain constituents which cause a troublesome intermediate color if not removed. the alcohol is decanted and drained off, after which the litmus is extracted with hot water until exhausted. the solution is allowed to settle for some time, the clear liquid siphoned off, concentrated to one-third its volume and acetic acid added in slight excess. it is then concentrated to a sirup, and a large excess of per cent. alcohol added to it. this precipitates the blue coloring matter, which is filtered off, washed with alcohol, and finally dissolved in a small volume of water and diluted until about three drops of the solution added to cc. of water just produce a distinct color. this solution must be kept in an unstoppered bottle. it should be protected from dust by a loose plug of absorbent cotton. if kept in a closed bottle it soon undergoes a reduction and loses its color, which, however, is often restored by exposure to the air. litmus can be employed successfully with the strong acids and bases, and also with ammonium hydroxide, although the salts of the latter influence the indicator unfavorably if present in considerable concentration. it may be employed with some of the stronger organic acids, but the use of phenolphthalein is to be preferred. preparation of standard solutions !hydrochloric acid and sodium hydroxide. approximate strength!, . n procedure.--measure out cc. of concentrated, pure hydrochloric acid into a clean liter bottle, and dilute with distilled water to an approximate volume of cc. shake the solution vigorously for a full minute to insure uniformity. be sure that the bottle is not too full to permit of a thorough mixing, since lack of care at this point will be the cause of much wasted time (note ). weigh out, upon a rough balance, grams of sodium hydroxide (note ). dissolve the hydroxide in water in a beaker. pour the solution into a liter bottle and dilute, as above, to approximately cc. this bottle should preferably have a rubber stopper, as the hydroxide solution attacks the glass of the ground joint of a glass stopper, and may cement the stopper to the bottle. shake the solution as described above. [note : the original solutions are prepared of a strength greater than . n, as they are more readily diluted than strengthened if later adjustment is desired. too much care cannot be taken to insure perfect uniformity of solutions before standardization, and thoroughness in this respect will, as stated, often avoid much waste of time. a solution once thoroughly mixed remains uniform.] [note : commercial sodium hydroxide is usually impure and always contains more or less carbonate; an allowance is therefore made for this impurity by placing the weight taken at grams per liter. if the hydroxide is known to be pure, a lesser amount (say grams) will suffice.] comparison of acid and alkali solutions procedure.--rinse a previously calibrated burette three times with the hydrochloric acid solution, using cc. each time, and allowing the liquid to run out through the tip to displace all water and air from that part of the burette. then fill the burette with the acid solution. carry out the same procedure with a second burette, using the sodium hydroxide solution. the acid solution may be placed in a plain or in a glass-stoppered burette as may be more convenient, but the alkaline solution should never be allowed to remain long in a glass-stoppered burette, as it tends to cement the stopper to the burette, rendering it useless. it is preferable to use a plain burette for this solution. when the burettes are ready for use and all air bubbles displaced from the tip (see note , page ) note the exact position of the liquid in each, and record the readings in the notebook. (consult page .) run out from the burette into a beaker about cc. of the acid and add two drops of a solution of methyl orange; dilute the acid to about cc. and run out alkali solution from the other burette, stirring constantly, until the pink has given place to a yellow. wash down the sides of the beaker with a little distilled water if the solution has spattered upon them, return the beaker to the acid burette, and add acid to restore the pink; continue these alternations until the point is accurately fixed at which a single drop of either solutions served to produce a distinct change of color. select as the final end-point the appearance of the faintest pink tinge which can be recognized, or the disappearance of this tinge, leaving a pure yellow; but always titrate to the same point (note ). if the titration has occupied more than the three minutes required for draining the sides of the burette, the final reading may be taken immediately and recorded in the notebook. refill the burettes and repeat the titration. from the records of calibration already obtained, correct the burette readings and make corrections for temperature, if necessary. obtain the ratio of the sodium hydroxide solution to that of hydrochloric acid by dividing the number of cubic centimeters of acid used by the number of cubic centimeters of alkali required for neutralization. the check results of the two titrations should not vary by more than two parts in one thousand (note ). if the variation in results is greater than this, refill the burettes and repeat the titration until satisfactory values are obtained. use a new page in the notebook for each titration. inaccurate values should not be erased or discarded. they should be retained and marked "correct" or "incorrect," as indicated by the final outcome of the titrations. this custom should be rigidly followed in all analytical work. [note : the end-point should be chosen exactly at the point of change; any darker tint is unsatisfactory, since it is impossible to carry shades of color in the memory and to duplicate them from day to day.] [note : while variation of two parts in one thousand in the values obtained by an inexperienced analyst is not excessive, the idea must be carefully avoided that this is a standard for accurate work to be !generally applied!. in many cases, after experience is gained, the allowable error is less than this proportion. in a few cases a larger variation is permissible, but these are rare and can only be recognized by an experienced analyst. it is essential that the beginner should acquire at least the degree of accuracy indicated if he is to become a successful analyst.] standardization of hydrochloric acid selection and preparation of standard the selection of the best substance to be used as a standard for acid solutions has been the subject of much controversy. the work of lunge (!ztschr. angew. chem.! ( ), , ), ferguson (!j. soc. chem. ind.! ( ), , ), and others, seems to indicate that the best standard is sodium carbonate prepared from sodium bicarbonate by heating the latter at temperature between ° and °c. the bicarbonate is easily prepared in a pure state, and at the temperatures named the decomposition takes place according to the equation hnaco_{ } --> na_{ }co_{ } + h_{ }o + co_{ } and without loss of any carbon dioxide from the sodium carbonate, such as may occur at higher temperatures. the process is carried out as described below. procedure.--place in a porcelain crucible about grams (roughly weighed) of the purest sodium bicarbonate obtainable. rest the crucible upon a triangle of iron or copper wire so placed within a large crucible that there is an open air space of about three eighths of an inch between them. the larger crucible may be of iron, nickel or porcelain, as may be most convenient. insert the bulb of a thermometer reading to °c. in the bicarbonate, supporting it with a clamp so that the bulb does not rest on the bottom of the crucible. heat the outside crucible, using a rather small flame, and raise the temperature of the bicarbonate fairly rapidly to °c. then regulate the heat in such a way that the temperature rises !slowly! to °c. in the course of a half-hour. the bicarbonate should be frequently stirred with a clean, dry, glass rod, and after stirring, should be heaped up around the bulb of the thermometer in such a way as to cover it. this will require attention during most of the heating, as the temperature should not be permitted to rise above °c. for any length of time. at the end of the half-hour remove the thermometer and transfer the porcelain crucible, which now contains sodium carbonate, to a desiccator. when it is cold, transfer the carbonate to a stoppered weighing tube or weighing-bottle. standardization procedure.--clean carefully the outside of a weighing-tube, or weighing-bottle, containing the pure sodium carbonate, taking care to handle it as little as possible after wiping. weigh the tube accurately to . gram, and record the weight in the notebook. hold the tube over the top of a beaker ( - cc.) and cautiously remove the stopper, making sure that no particles fall from it or from the tube elsewhere than in the beaker. pour out from the tube a portion of the carbonate, replace the stopper and determine approximately how much has been removed. continue this procedure until . to . grams has been taken from the tube. then weigh the tube accurately and record the weight under the first weight in the notebook. the difference in the two weights is the weight of the carbonate transferred to the beaker. proceed in the same way to transfer a second portion of the carbonate from the tube to another beaker of about the same size as the first. the beakers should be labeled and plainly marked to correspond with the entries in the notebook. pour over the carbonate in each beaker about cc. of water, stir until solution is complete, and add two drops of methyl orange solution. fill the burettes with the standard acid and alkali solutions, noting the initial readings of the burettes and temperature of the solutions. run in acid from the burette, stirring and avoiding loss by effervescence, until the solution has become pink. wash down the sides of the beaker with a !little! water from a wash-bottle, and then run in alkali from the other burette until the pink is replaced by yellow; then finish the titration as described on page . note the readings of the burettes after the proper interval, and record them in the notebook. repeat the procedure, using the second portion of sodium carbonate. apply the necessary calibration corrections to the volumes of the solutions used, and correct for temperature if necessary. from the data obtained, calculate the volume of the hydrochloric acid solution which is equivalent to the volume of sodium hydroxide solution used in this titration. subtract this volume from the volume of hydrochloric acid. the difference represents the volume of acid used to react with the sodium carbonate. divide the weight of sodium carbonate by this volume in cubic centimeters, thus obtaining the weight of sodium carbonate equivalent to each cubic centimeter of the acid. from this weight it is possible to calculate the corresponding weight of hcl in each cubic centimeter of the acid, and in turn the relation of the acid to the normal. if, however, it is recalled that normal solutions are equivalent to each other, it will be seen that the same result may be more readily reached by dividing the weight in grams of sodium carbonate per cubic centimeter just found by titration by the weight which would be contained in the same volume of a normal solution of sodium carbonate. a normal solution of sodium carbonate contains . grams per liter, or . gram per cc. (see page ). the relation of the acid solution to the normal is, therefore, calculated by dividing the weight of the carbonate to which each cubic centimeter of the acid is equivalent by . . the standardization must be repeated until the values obtained agree within, at most, two parts in one thousand. when the standard of the acid solution has been determined, calculate, from the known ratio of the two solutions, the relation of the sodium hydroxide solution to a normal solution (notes and ). [note : in the foregoing procedure the acid solution is standardized and the alkali solution referred to this standard by calculation. it is equally possible, if preferred, to standardize the alkali solution. the standards in a common use for this purpose are purified oxalic acid (h_{ }c_{ }o_{ }. h_{ }o), potassium acid oxalate (khc_{ }o_{ }.h_{ }o or khc_{ }o_{ }), potassium tetroxalate (khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o), or potassium acid tartrate (khc_{ }o_{ }), with the use of a suitable indicator. the oxalic acid and the oxalates should be specially prepared to insure purity, the main difficulty lying in the preservation of the water of crystallization. it should be noted that the acid oxalate and the acid tartrate each contain one hydrogen atom replaceable by a base, while the tetroxalate contains three such atoms and the oxalic acid two. each of the two salts first named behave, therefore, as monobasic acids, and the tetroxalate as a tribasic acid.] [note : it is also possible to standardize a hydrochloric acid solution by precipitating the chloride ions as silver chloride and weighing the precipitate, as prescribed under the analysis of sodium chloride to be described later. sulphuric acid solutions may be standardized by precipitation of the sulphate ions as barium sulphate and weighing the ignited precipitate, but the results are not above criticism on account of the difficulty in obtaining large precipitates of barium sulphate which are uncontaminated by inclosures or are not reduced on ignition.] determination of the total alkaline strength of soda ash soda ash is crude sodium carbonate. if made by the ammonia process it may contain also sodium chloride, sulphate, and hydroxide; when made by the le blanc process it may contain sodium sulphide, silicate, and aluminate, and other impurities. some of these, notably the hydroxide, combine with acids and contribute to the total alkaline strength, but it is customary to calculate this strength in terms of sodium carbonate; i.e., as though no other alkali were present. procedure.--in order to secure a sample which shall represent the average value of the ash, it is well to take at least grams. as this is too large a quantity for convenient titration, an aliquot portion of the solution is measured off, representing one fifth of the entire quantity. this is accomplished as follows: weigh out on an analytical balance two samples of soda ash of about grams each into beakers of about cc. capacity. (the weighings need be made to centigrams only.) dissolve the ash in cc. of water, warming gently, and filter off the insoluble residue; wash the filter by filling it at least three times with distilled water, and allowing it to drain, adding the washings to the main filtrate. cool the filtrate to approximately the standard temperature of the laboratory, and transfer it to a cc. measuring flask, washing out the beaker thoroughly. add distilled water of laboratory temperature until the lowest point of the meniscus is level with the graduation on the neck of the flask and remove any drops of water that may be on the neck above the graduation by means of a strip of filter paper; make the solution thoroughly uniform by pouring it out into a dry beaker and back into the flask several times. measure off cc. of the solution in a measuring flask, or pipette, either of which before use should, unless they are dry on the inside, be rinsed out with at least two small portions of the soda ash solution to displace any water. if a flask is used, fill it to the graduation with the soda ash solution and remove any liquid from the neck above the graduation with filter paper. empty it into a beaker, and wash out the small flask, unless it is graduated for !delivery!, using small quantities of water, which are added to the liquid in the beaker. a second cc. portion from the main solution should be measured off into a second beaker. dilute the solutions in each beaker to cc., add two drops of a solution of methyl orange (note ) and titrate for the alkali with the standard hydrochloric acid solution, using the alkali solution to complete the titration as already prescribed. from the volumes of acid and alkali employed, corrected for burette errors and temperature changes, and the data derived from the standardization, calculate the percentage of alkali present, assuming it all to be present as sodium carbonate (note ). [note : the hydrochloric acid sets free carbonic acid which is unstable and breaks down into water and carbon dioxide, most of which escapes from the solution. carbonic acid is a weak acid and, as such, does not yield a sufficient concentration of h^{+} ions to cause the indicator to change to a pink (see page ). the chemical changes involved may be summarized as follows: h^{+}, cl^{-} + na^{+}, co_{ }^{--} --> na^{+}, cl^{-} + [h_{ }co_{ }] --> h_{ }o + co_{ }] [note : a determination of the alkali present as hydroxide in soda ash may be determined by precipitating the carbonate by the addition of barium chloride, removing the barium carbonate by filtration, and titrating the alkali in the filtrate. the caustic alkali may also be determined by first using phenolphthalein as an indicator, which will show by its change from pink to colorless the point at which the caustic alkali has been neutralized and the carbonate has been converted to bicarbonate, and then adding methyl orange and completing the titration. the amount of acid necessary to change the methyl orange to pink is a measure of one half of the carbonate present. the results of the double titration furnish the data necessary for the determination of the caustic alkali and of the carbonate in the sample.] determination of the acid strength of oxalic acid procedure.--weigh out two portions of the acid of about gram each. dissolve these in cc. of warm water. add two drops of phenolphthalein solution, and run in alkali from the burette until the solution is pink; add acid from the other burette until the pink is just destroyed, and then add . cc. (not more) in excess. heat the solution to boiling for three minutes. if the pink returns during the boiling, discharge it with acid and again add . cc. in excess and repeat the boiling (note ). if the color does not then reappear, add alkali until it does, and a !drop or two! of acid in excess and boil again for one minute (note ). if no color reappears during this time, complete the titration in the hot solution. the end-point should be the faintest visible shade of color (or its disappearance), as the same difficulty would exist here as with methyl orange if an attempt were made to match shades of pink. from the corrected volume of alkali required to react with the oxalic acid, calculate the percentage of the crystallized acid (h_{ }c_{ }o_{ }. h_{ }o) in the sample (note ). [note : all commercial caustic soda such as that from which the standard solution was made contains some sodium carbonate. this reacts with the oxalic acid, setting free carbonic acid, which, in turn, forms sodium bicarbonate with the remaining carbonate: h_{ }co_{ } + na_{ }co_{ } --> hnaco_{ }. this compound does not hydrolyze sufficiently to furnish enough oh^{-} ions to cause phenolphthalein to remain pink; hence, the color of the indicator is discharged in cold solutions at the point at which bicarbonate is formed. if, however, the solution is heated to boiling, the bicarbonate loses carbon dioxide and water, and reverts to sodium carbonate, which causes the indicator to become again pink: hnaco_{ } --> h_{ }o + co_{ } + na_{ }co_{ }. by adding successive portions of hydrochloric acid and boiling, the carbonate is ultimately all brought into reaction. the student should make sure that the difference in behavior of the two indicators, methyl orange and phenolphthalein, is understood.] [note : hydrochloric acid is volatilized from aqueous solutions, except such as are very dilute. if the directions in the procedure are strictly followed, no loss of acid need be feared, but the amount added in excess should not be greater than . - . cc.] [note : attention has already been called to the fact that the color changes in the different indicators occur at varying concentrations of h^{+} or oh^{-} ions. they do not indicate exact theoretical neutrality, but a particular indicator always shows its color change at a particular concentration of h^{+} or oh^{-} ions. the results of titration with a given indicator are, therefore, comparable. as a matter of fact, a small error is involved in the procedure as outlined above. the comparison of the acid and alkali solutions was made, using methyl orange as an indicator, while the titration of the oxalic acid is made with the use of phenolphthalein. for our present purposes the small error may be neglected but, if time permits, the student is recommended to standardize the alkali solution against one of the substances named in note , page , and also to ascertain the comparative value of the acid and alkali solutions, using phenolphthalein as indicator throughout, and conducting the titrations as described above. this will insure complete accuracy.] ii. oxidation processes general discussion in the oxidation processes of volumetric analysis standard solutions of oxidizing agents and of reducing agents take the place of the acid and alkali solutions of the neutralization processes already studied. just as an acid solution was the principal reagent in alkalimetry, and the alkali solution used only to make certain of the end-point, the solution of the oxidizing agent is the principal reagent for the titration of substances exerting a reducing action. it is, in general, true that oxidizable substances are determined by !direct! titration, while oxidizing substances are determined by !indirect! titration. the important oxidizing agents employed in volumetric solutions are potassium bichromate, potassium permangenate, potassium ferricyanide, iodine, ferric chloride, and sodium hypochlorite. the important reducing agents which are used in the form of standard solutions are ferrous sulphate (or ferrous ammonium sulphate), oxalic acid, sodium thiosulphate, stannous chloride, arsenious acid, and potassium cyanide. other reducing agents, as sulphurous acid, sulphureted hydrogen, and zinc (nascent hydrogen), may take part in the processes, but not as standard solutions. the most important combinations among the foregoing are: potassium bichromate and ferrous salts; potassium permanganate and ferrous salts; potassium permanganate and oxalic acid, or its derivatives; iodine and sodium thiosulphate; hypochlorites and arsenious acid. bichromate process for the determination of iron ferrous salts may be promptly and completely oxidized to ferric salts, even in cold solution, by the addition of potassium bichromate, provided sufficient acid is present to hold in solution the ferric and chromic compounds which are formed. the acid may be either hydrochloric or sulphuric, but the former is usually preferred, since it is by far the best solvent for iron and its compounds. the reaction in the presence of hydrochloric acid is as follows: fecl_{ } + k_{ }cr_{ }o_{ } + hcl --> fecl_{ } + crcl_{ } + kcl + h_{ }o. normal solutions of oxidizing or reducing agents it will be recalled that the system of normal solutions is based upon the equivalence of the reagents which they contain to grams of oxygen or gram of hydrogen. a normal solution of an oxidizing agent should, therefore, contain that amount per liter which is equivalent in oxidizing power to grams of oxygen; a normal reducing solution must be equivalent in reducing power to gram of hydrogen. in order to determine what the amount per liter will be it is necessary to know how the reagents enter into reaction. the two solutions to be employed in the process under consideration are those of potassium bichromate and ferrous sulphate. the reaction between them, in the presence of an excess of sulphuric acid, may be expressed as follows: feso_{ } + k_{ }cr_{ }o_{ } + h_{ }so_{ } --> fe_{ }(so_{ })_{ } + k_{ }so_{ } + cr_{ }(so_{ })_{ } + h_{ }o. if the compounds of iron and chromium, with which alone we are now concerned, be written in such a way as to show the oxides of these elements in each, they would appear as follows: on the left-hand side of the equation (feo.so_{ }) and k_{ }o. cro_{ }; on the right-hand side, (fe_{ }o_{ }. so_{ }) and cr_{ }o_{ }. so_{ }. a careful inspection shows that there are three less oxygen atoms associated with chromium atoms on the right-hand side of the equation than on the left-hand, but there are three more oxygen atoms associated with iron atoms on the right than on the left. in other words, a molecule of potassium bichromate has given up three atoms of oxygen for oxidation purposes; i.e., a molecular weight in grams of the bichromate ( . ) will furnish x or grams of oxygen for oxidation purposes. as this grams is six times grams, the basis of the system, the normal solution of potassium bichromate should contain per liter one sixth of . grams or . grams. a further inspection of the dissected compounds above shows that six molecules of feo.so_{ } were required to react with the three atoms of oxygen from the bichromate. from the two equations h_{ } + o --> h_{ }o (feo.so_{ }) + o --> (fe_{ }o_{ }. so_{ }) it is plain that one molecule of ferrous sulphate is equivalent to one atom of hydrogen in reducing power; therefore one molecular weight in grams of ferrous sulphate ( . ) is equivalent to gram of hydrogen. since the ferrous sulphate crystalline form has the formula feso_{ }. h_{ }o, a normal reducing solution of this crystalline salt should contain . grams per liter. preparation of solutions !approximate strength . n! it is possible to purify commercial potassium bichromate by recrystallization from hot water. it must then be dried and cautiously heated to fusion to expel the last traces of moisture, but not sufficiently high to expel any oxygen. the pure salt thus prepared, may be weighed out directly, dissolved, and the solution diluted in a graduated flask to a definite volume. in this case no standardization is made, as the normal value can be calculated directly. it is, however, more generally customary to standardize a solution of the commercial salt by comparison with some substance of definite composition, as described below. procedure.--pulverize about grams of potassium bichromate of good quality. dissolve the bichromate in distilled water, transfer the solution to a liter bottle, and dilute to approximately cc. shake thoroughly until the solution is uniform. to prepare the solution of the reducing agent, pulverize about grams of ferrous sulphate (feso_{ }. h_{ }o) or about grams of ferrous ammonium sulphate (feso_{ }.(nh_{ })_{ }so_{ }. h_{ }o) and dissolve in distilled water containing cc. of concentrated sulphuric acid. transfer the solution to a liter bottle, add cc. concentrated sulphuric acid, make up to about cc. and shake vigorously to insure uniformity. indicator solution no indicator is known which, like methyl orange, can be used within the solution, to show when the oxidation process is complete. instead, an outside indicator solution is employed to which drops of the titrated solution are transferred for testing. the reagent used is potassium ferricyanide, which produces a blue precipitate (or color) with ferrous compounds as long as there are unoxidized ferrous ions in the titrated solution. drops of the indicator solution are placed upon a glazed porcelain tile, or upon white cardboard which has been coated with paraffin to render it waterproof, and drops of the titrated solution are transferred to the indicator on the end of a stirring rod. when the oxidation is nearly completed only very small amounts of the ferrous compounds remain unoxidized and the reaction with the indicator is no longer instantaneous. it is necessary to allow a brief time to elapse before determining that no blue color is formed. thirty seconds is a sufficient interval, and should be adopted throughout the analytical procedure. if left too long, the combined effect of light and dust from the air will cause a reduction of the ferric compounds already formed and a resultant blue will appear which misleads the observer with respect to the true end-point. the indicator solution must be highly diluted, otherwise its own color interferes with accurate observation. prepare a fresh solution, as needed each day, by dissolving a crystal of potassium ferricyanide about the size of a pin's head in cc. of distilled water. the salt should be carefully tested with ferric chloride for the presence of ferrocyanides, which give a blue color with ferric salts. in case of need, the ferricyanide can be purified by adding to its solution a little bromine water and recrystallizing the compound. comparison of oxidizing and reducing solutions procedure.--fill one burette with each of the solutions, observing the general procedure with respect to cleaning and rinsing already prescribed. the bichromate solution is preferably to be placed in a glass-stoppered burette. run out from a burette into a beaker of about cc. capacity nearly cc. of the ferrous solution, add cc. of dilute hydrochloric acid (sp. gr. . ) and cc. of water and run in the bichromate solution from another burette. since both solutions are approximately tenth-normal, cc. of the bichromate solution may be added without testing. test at that point by removing a very small drop of the iron solution on the end of a stirring rod, mixing it with a drop of indicator on the tile (note ). if a blue precipitate appears at once, . cc. of the bichromate solution may be added before testing again. the stirring rod which has touched the indicator should be dipped in distilled water before returning it to the iron solution. as soon as the blue appears to be less intense, add the bichromate solution in small portions, finally a single drop at a time, until the point is reached at which no blue color appears after the lapse of thirty seconds from the time of mixing solution and indicator. at the close of the titration a large drop of the iron solution should be taken for the test. to determine the end-point beyond any question, as soon as the thirty seconds have elapsed remove another drop of the solution of the same size as that last taken and mix it with the indicator, placing it beside the last previous test. if this last previous test shows a blue tint in comparison with the fresh mixture, the end-point has not been reached; if no difference can be noted the reaction is complete. should the end-point be overstepped, a little more of the ferrous solution may be added and the end-point definitely fixed. from the volumes of the solutions used, after applying corrections for burette readings, and, if need be, for the temperature of solutions, calculate the value of the ferrous solution in terms of the oxidizing solution. [note : the accuracy of the work may be much impaired by the removal of unnecessarily large quantities of solution for the tests. at the beginning of the titration, while much ferrous iron is still present, the end of the stirring rod need only be moist with the solution; but at the close of the titration drops of considerable size may properly be taken for the final tests. the stirring rod should be washed to prevent transfer of indicator to the main solution. this cautious removal of solution does not seriously affect the accuracy of the determination, as it will be noted that the volume of the titrated solution is about cc. and the portions removed are very small. moreover, if the procedure is followed as prescribed, the concentration of unoxidized iron decreases very rapidly as the titration is carried out so that when the final tests are made, though large drops may be taken, the amount of ferrous iron is not sufficient to produce any appreciable error in results. if the end-point is determined as prescribed, it can be as accurately fixed as that of other methods; and if a ferrous solution is at hand, the titration need consume hardly more time than that of the permanganate process to be described later on.] standardization of potassium bichromate solutions !selection of a standard! a substance which will serve satisfactorily as a standard for oxidizing solutions must possess certain specific properties: it must be of accurately known composition and definite in its behavior as a reducing agent, and it must be permanent against oxidation in the air, at least for considerable periods. such standards may take the form of pure crystalline salts, such as ferrous ammonium sulphate, or may be in the form of iron wire or an iron ore of known iron content. it is not necessary that the standard should be of per cent purity, provided the content of the active reducing agent is known and no interfering substances are present. the two substances most commonly used as standards for a bichromate solution are ferrous ammonium sulphate and iron wire. a standard wire is to be purchased in the market which answers the purpose well, and its iron content may be determined for each lot purchased by a number of gravimetric determinations. it may best be preserved in jars containing calcium chloride, but this must not be allowed to come into contact with the wire. it should, however, even then be examined carefully for rust before use. if pure ferrous ammonium sulphate is used as the standard, clear crystals only should be selected. it is perhaps even better to determine by gravimetric methods once for all the iron content of a large commercial sample which has been ground and well mixed. this salt is permanent over long periods if kept in stoppered containers. standardization procedure.--weigh out two portions of iron wire of about . - . gram each, examining the wire carefully for rust. it should be handled and wiped with filter paper (not touched by the fingers), should be weighed on a watch-glass, and be bent in such a way as not to interfere with the movement of the balance. place cc. of hydrochloric acid (sp. gr. . ) in each of two cc. erlenmeyer flasks, cover them with watch-glasses, and bring the acid just to boiling. remove them from the flame and drop in the portions of wire, taking great care to avoid loss of liquid during solution. boil for two or three minutes, keeping the flasks covered (note ), then wash the sides of the flasks and the watch-glass with a little water and add stannous chloride solution to the hot liquid !from a dropper! until the solution is colorless, but avoid more than a drop or two in excess (note ). dilute with cc. of water and cool !completely!. when cold, add rapidly about cc. of mercuric chloride solution. allow the solutions to stand about three minutes and then titrate without further delay (note ), add about cc. of the standard solution at once and finish the titration as prescribed above, making use of the ferrous solution if the end-point should be passed. from the corrected volumes of the bichromate solution required to oxidize the iron actually know to be present in the wire, calculate the relation of the standard solution to the normal. repeat the standardization until the results are concordant within at least two parts in one thousand. [note : the hydrochloric acid is added to the ferrous solution to insure the presence of at least sufficient free acid for the titration, as required by the equation on page . the solution of the wire in hot acid and the short boiling insure the removal of compounds of hydrogen and carbon which are formed from the small amount of carbon in the iron. these might be acted upon by the bichromate if not expelled.] [note : it is plain that all the iron must be reduced to the ferrous condition before the titration begins, as some oxidation may have occurred from the oxygen of the air during solution. it is also evident that any excess of the agent used to reduce the iron must be removed; otherwise it will react with the bichromate added later. the reagents available for the reduction of iron are stannous chloride, sulphurous acid, sulphureted hydrogen, and zinc; of these stannous chloride acts most readily, the completion of the reaction is most easily noted, and the excess of the reagent is most readily removed. the latter object is accomplished by oxidation to stannic chloride by means of mercuric chloride added in excess, as the mercuric salts have no effect upon ferrous iron or the bichromate. the reactions involved are: fecl_{ } + sncl_{ } --> fecl_{ } + sncl_{ } sncl_{ } + hgcl_{ } --> sncl_{ } + hgcl the mercurous chloride is precipitated. it is essential that the solution should be cold and that the stannous chloride should not be present in great excess, otherwise a secondary reaction takes place, resulting in the reduction of the mercurous chloride to metallic mercury: sncl_{ } + hgcl --> sncl_{ } + hg. the occurrence of this secondary reaction is indicated by the darkening of the precipitate; and, since potassium bichromate oxidizes this mercury slowly, solutions in which it has been precipitated are worthless as iron determinations.] [note : the solution should be allowed to stand about three minutes after the addition of mercuric chloride to permit the complete deposition of mercurous chloride. it should then be titrated without delay to avoid possible reoxidation of the iron by the oxygen of the air.] determination of iron in limonite procedure.--grind the mineral (note ) to a fine powder. weigh out accurately two portions of about . gram (note ) into porcelain crucibles; heat these crucibles to dull redness for ten minutes, allow them to cool, and place them, with their contents, in beakers containing cc. of dilute hydrochloric acid (sp. gr. . ). heat at a temperature just below boiling until the undissolved residue is white or until solvent action has ceased. if the residue is white, or known to be free from iron, it may be neglected and need not be removed by filtration. if a dark residue remains, collect it on a filter, wash free from hydrochloric acid, and ignite the filter in a platinum crucible (note ). mix the ash with five times its weight of sodium carbonate and heat to fusion; cool, and disintegrate the fused mass with boiling water in the crucible. unite this solution and precipitate (if any) with the acid solution, taking care to avoid loss by effervescence. wash out the crucible, heat the acid solution to boiling, add stannous chloride solution until it is colorless, avoiding a large excess (note ); cool, and when !cold!, add cc. of mercuric chloride solution, dilute to cc., and proceed with the titration as already described. from the standardization data already obtained, and the known weight of the sample, calculate the percentage of iron (fe) in the limonite. [note : limonite is selected as a representative of iron ores in general. it is a native, hydrated oxide of iron. it frequently occurs in or near peat beds and contains more or less organic matter which, if brought into solution, would be acted upon by the potassium bichromate. this organic matter is destroyed by roasting. since a high temperature tends to lessen the solubility of ferric oxide, the heat should not be raised above low redness.] [note : it is sometimes advantageous to dissolve a large portion--say grams--and to take one tenth of it for titration. the sample will then represent more closely the average value of the ore.] [note : a platinum crucible may be used for the roasting of the limonite and must be used for the fusion of the residue. when used, it must not be allowed to remain in the acid solution of ferric chloride for any length of time, since the platinum is attacked and dissolved, and the platinic chloride is later reduced by the stannous chloride, and in the reduced condition reacts with the bichromate, thus introducing an error. it should also be noted that copper and antimony interfere with the determination of iron by the bichromate process.] [note : the quantity of stannous chloride required for the reduction of the iron in the limonite will be much larger than that added to the solution of iron wire, in which the iron was mainly already in the ferrous condition. it should, however, be added from a dropper to avoid an unnecessary excess.] determination of chromium in chrome iron ore procedure.--grind the chrome iron ore (note ) in an agate mortar until no grit is perceptible under the pestle. weigh out two portions of . gram each into iron crucibles which have been scoured inside until bright (note ). weigh out on a watch-glass (note ), using the rough balances, grams of dry sodium peroxide for each portion, and pour about three quarters of the peroxide upon the ore. mix ore and flux by thorough stirring with a dry glass rod. then cover the mixture with the remainder of the peroxide. place the crucible on a triangle and raise the temperature !slowly! to the melting point of the flux, using a low flame, and holding the lamp in the hand (note ). maintain the fusion for five minutes, and stir constantly with a stout iron wire, but do not raise the temperature above moderate redness (notes and ). allow the crucible to cool until it can be comfortably handled (note ) and then place it in a cc. beaker, and cover it with distilled water (note ). the beaker must be carefully covered to avoid loss during the disintegration of the fused mass. when the evolution of gas ceases, rinse off and remove the crucible; then heat the solution !while still alkaline! to boiling for fifteen minutes. allow the liquid to cool for a few minutes; then acidify with dilute sulphuric acid ( : ), adding cc. in excess of the amount necessary to dissolve the ferric hydroxide (note ). dilute to cc., cool, add from a burette an excess of a standard ferrous solution, and titrate for the excess with a standard solution of potassium bichromate, using the outside indicator (note ). from the corrected volumes of the two standard solutions, and their relations to normal solutions, calculate the percentage of chromium in the ore. [note : chrome iron ore is essentially a ferrous chromite, or combination of feo and cr_{ }o_{ }. it must be reduced to a state of fine subdivision to ensure a prompt reaction with the flux.] [note : the scouring of the iron crucible is rendered much easier if it is first heated to bright redness and plunged into cold water. in this process oily matter is burned off and adhering scale is caused to chip off when the hot crucible contracts rapidly in the cold water.] [note : sodium peroxide must be kept off of balance pans and should not be weighed out on paper, as is the usual practice in the rough weighing of chemicals. if paper to which the peroxide is adhering is exposed to moist air it is likely to take fire as a result of the absorption of moisture, and consequent evolution of heat and liberation of oxygen.] [note : the lamp should never be allowed to remain under the crucible, as this will raise the temperature to a point at which the crucible itself is rapidly attacked by the flux and burned through.] [note : the sodium peroxide acts as both a flux and an oxidizing agent. the chromic oxide is dissolved by the flux and oxidized to chromic anhydride (cro_{ }) which combines with the alkali to form sodium chromate. the iron is oxidized to ferric oxide.] [note : the sodium peroxide cannot be used in porcelain, platinum, or silver crucibles. it attacks iron and nickel as well; but crucibles made from these metals may be used if care is exercised to keep the temperature as low as possible. preference is here given to iron crucibles, because the resulting ferric hydroxide is more readily brought into solution than the nickelic oxide from a nickel crucible. the peroxide must be dry, and must be protected from any admixture of dust, paper, or of organic matter of any kind, otherwise explosions may ensue.] [note : when an iron crucible is employed it is desirable to allow the fusion to become nearly cold before it is placed in water, otherwise scales of magnetic iron oxide may separate from the crucible, which by slowly dissolving in acid form ferrous sulphate, which reduces the chromate.] [note : upon treatment with water the chromate passes into solution, the ferric hydroxide remains undissolved, and the excess of peroxide is decomposed with the evolution of oxygen. the subsequent boiling insures the complete decomposition of the peroxide. unless this is complete, hydrogen peroxide is formed when the solution is acidified, and this reacts with the bichromate, reducing it and introducing a serious error.] [note : the addition of the sulphuric acid converts the sodium chromate to bichromate, which behaves exactly like potassium bichromate in acid solution.] [note : if a standard solution of a ferrous salt is not at hand, a weight of iron wire somewhat in excess of the amount which would be required if the chromite were pure feo.cr_{ }o_{ } may be weighed out and dissolved in sulphuric acid; after reduction of all the iron by stannous chloride and the addition of mercuric chloride, this solution may be poured into the chromate solution and the excess of iron determined by titration with standard bichromate solution.] permanganate process for the determination of iron potassium permanganate oxidizes ferrous salts in cold, acid solution promptly and completely to the ferric condition, while in hot acid solution it also enters into a definite reaction with oxalic acid, by which the latter is oxidized to carbon dioxide and water. the reactions involved are these: feso_{ } + kmno_{ } + h_{ }s_{ } --> fe_{ }(so_{ })_{ } + k_{ }so_{ } + mnso_{ } + h_{ }o c_{ }h_{ }o_{ }( h_{ }o) + kmno_{ } + h_{ }so_{ } --> k_{ }so_{ } + mnso_{ } + co_{ } + h_{ }o. these are the fundamental reactions upon which the extensive use of potassium permanganate depends; but besides iron and oxalic acid the permanganate enters into reaction with antimony, tin, copper, mercury, and manganese (the latter only in neutral solution), by which these metals are changed from a lower to a higher state of oxidation; and it also reacts with sulphurous acid, sulphureted hydrogen, nitrous acid, ferrocyanides, and most soluble organic bodies. it should be noted, however, that very few of these organic compounds react quantitatively with the permanganate, as is the case with oxalic acid and the oxalates. potassium permanganate is acted upon by hydrochloric acid; the action is rapid in hot or concentrated solution (particularly in the presence of iron salts, which appear to act as catalyzers, increasing the velocity of the reaction), but slow in cold, dilute solutions. however, the greater solubility of iron compounds in hydrochloric acid makes it desirable to use this acid as a solvent, and experiments made with this end in view have shown that in cold, dilute hydrochloric acid solution, to which considerable quantities of manganous sulphate and an excess of phosphoric acid have been added, it is possible to obtain satisfactory results. it is also possible to replace the hydrochloric acid by evaporating the solutions with an excess of sulphuric acid until the latter fumes. this procedure is somewhat more time-consuming, but the end-point of the permanganate titration is more permanent. both procedures are described below. potassium permanganate has an intense coloring power, and since the solution resulting from the oxidation of the iron and the reduction of the permanganate is colorless, the latter becomes its own indicator. the slightest excess is indicated with great accuracy by the pink color of the solution. preparation of a standard solution !approximate strength . n! a study of the reactions given above which represent the oxidation of ferrous compounds by potassium permanganate, shows that there are molecules of kmno_{ } and molecules of feso_{ } on the left-hand side, and molecules of mnso_{ } and molecules of fe_{ }(so_{ })_{ } on the right-hand side. considering only these compounds, and writing the formulas in such a way as to show the oxides of the elements in each, the equation becomes: k_{ }o.mn_{ }o_{ } + (feo.so_{ }) --> k_{ }o.so_{ } + (mno.so_{ }) + (fe_{ }o_{ }. so_{ }). from this it appears that two molecules of kmno_{ } (or . grams) have given up five atoms (or grams) of oxygen to oxidize the ferrous compound. since grams of oxygen is the basis of normal oxidizing solutions and grams of oxygen are supplied by . grams of kmno_{ }, the normal solution of the permanganate should contain, per liter, . / grams, or . grams (note ). the preparation of an approximately tenth-normal solution of the reagent may be carried out as follows: procedure.--dissolve about . grams of potassium permanganate crystals in approximately cc. of distilled water in a large beaker, or casserole. heat slowly and when the crystals have dissolved, boil the solution for - minutes. cover the solution with a watch-glass; allow it to stand until cool, or preferably over night. filter the solution through a layer of asbestos. transfer the filtrate to a liter bottle and mix thoroughly (note ). [note : the reactions given on page are those which take place in the presence of an excess of acid. in neutral solutions the reduction of the permanganate is less complete, and, under these conditions, two gram-molecular weights of kmno_{ } will furnish only grams of oxygen. a normal solution for use under these conditions should, therefore, contain . / grams, or . grams.] [note : potassium permanganate solutions are not usually stable for long periods, and change more rapidly when first prepared than after standing some days. this change is probably caused by interaction with the organic matter contained in all distilled water, except that redistilled from an alkaline permanganate solution. the solutions should be protected from light and heat as far as possible, since both induce decomposition with a deposition of manganese dioxide, and it has been shown that decomposition proceeds with considerable rapidity, with the evolution of oxygen, after the dioxide has begun to form. as commercial samples of the permanganate are likely to be contaminated by the dioxide, it is advisable to boil and filter solutions through asbestos before standardization, as prescribed above. such solutions are relatively stable.] comparison of permanganate and ferrous solutions procedure.--fill a glass-stoppered burette with the permanganate solution, observing the usual precautions, and fill a second burette with the ferrous sulphate solution prepared for use with the potassium bichromate. the permanganate solution cannot be used in burettes with rubber tips, as a reduction takes place upon contact with the rubber. the solution has so deep a color that the lower line of the meniscus cannot be detected; readings must therefore be made from the upper edge. run out into a beaker about cc. of the ferrous solution, dilute to about cc., add cc. of dilute sulphuric acid, and run in the permanganate solution to a slight permanent pink. repeat, until the ratio of the two solutions is satisfactorily established. standardization of a potassium permanganate solution !selection of a standard! commercial potassium permanganate is rarely sufficiently pure to admit of its direct weighing as a standard. on this account, and because of the uncertainties as to the permanence of its solutions, it is advisable to standardize them against substances of known value. those in most common use are iron wire, ferrous ammonium sulphate, sodium oxalate, oxalic acid, and some other derivatives of oxalic acid. with the exception of sodium oxalate, these all contain water of crystallization which may be lost on standing. they should, therefore, be freshly prepared, and with great care. at present, sodium oxalate is considered to be one of the most satisfactory standards. !method a! !iron standards! the standardization processes employed when iron or its compounds are selected as standards differ from those applicable in connection with oxalate standards. the procedure which immediately follows is that in use with iron standards. as in the case of the bichromate process, it is necessary to reduce the iron completely to the ferrous condition before titration. the reducing agents available are zinc, sulphurous acid, or sulphureted hydrogen. stannous chloride may also be used when the titration is made in the presence of hydrochloric acid. since the excess of both the gaseous reducing agents can only be expelled by boiling, with consequent uncertainty regarding both the removal of the excess and the reoxidation of the iron, zinc or stannous chlorides are the most satisfactory agents. for prompt and complete reduction it is essential that the iron solution should be brought into ultimate contact with the zinc. this is brought about by the use of a modified jones reductor, as shown in figure . this reductor is a standard apparatus and is used in other quantitative processes. [illustration: fig. ] the tube a has an inside diameter of mm. and is mm. long; the small tube has an inside diameter of mm. and extends mm. below the stopcock. at the base of the tube a are placed some pieces of broken glass or porcelain, covered by a plug of glass wool about mm. thick, and upon this is placed a thin layer of asbestos, such as is used for gooch filters, mm. thick. the tube is then filled with the amalgamated zinc (note ) to within mm. of the top, and on the zinc is placed a plug of glass wool. if the top of the tube is not already shaped like the mouth of a thistle-tube (b), a mm. funnel is fitted into the tube with a rubber stopper and the reductor is connected with a suction bottle, f. the bottle d is a safety bottle to prevent contamination of the solution by water from the pump. after preparation for use, or when left standing, the tube a should be filled with water, to prevent clogging of the zinc. [note : the use of fine zinc in the reductor is not necessary and tends to clog the tube. particles which will pass a -mesh sieve, but are retained by one of meshes to the inch, are most satisfactory. the zinc can be amalgamated by stirring or shaking it in a mixture of cc. of normal mercuric chloride solution, cc. of hydrochloric acid (sp. gr. . ) and cc. of water for two minutes. the solution should then be poured off and the zinc thoroughly washed. it is then ready for bottling and preservation under water. a small quantity of glass wool is placed in the neck of the funnel to hold back foreign material when the reductor is in use.] standardization procedure.--weigh out into erlenmeyer flasks two portions of iron wire of about . gram each. dissolve these in hot dilute sulphuric acid ( cc. of concentrated acid and cc. of water), using a covered flask to avoid loss by spattering. boil the solution for two or three minutes after the iron has dissolved to remove any volatile hydrocarbons. meanwhile prepare the reductor for use as follows: connect the vacuum bottle with the suction pump and pour into the funnel at the top warm, dilute sulphuric acid, prepared by adding cc. of concentrated sulphuric acid to cc. of distilled water. see that the stopcock (c) is open far enough to allow the acid to run through slowly. continue to pour in acid until cc. have passed through, then close the stopcock !while a small quantity of liquid is still left in the funnel!. discard the filtrate, and again pass through cc. of the warm, dilute acid. test this with the permanganate solution. a single drop should color it permanently; if it does not, repeat the washing, until assured that the zinc is not contaminated with appreciable quantities of reducing substances. be sure that no air enters the reductor (note ). pour the iron solution while hot (but not boiling) through the reductor at a rate not exceeding cc. per minute (notes and ). wash out the beaker with dilute sulphuric acid, and follow the iron solution without interruption with cc. of the warm acid and finally with cc. of distilled water, leaving the funnel partially filled. remove the filter bottle and cool the solution quickly under the water tap (note ), avoiding unnecessary exposure to the oxygen of the air. add cc. of dilute sulphuric acid and titrate to a faint pink with the permanganate solution, adding it directly to the contents of the vacuum flask. should the end-point be overstepped, the ferrous sulphate solution may be added. from the volume of the solution required to oxidize the iron in the wire, calculate the relation to the normal of the permanganate solution. the duplicate results should be concordant within two parts in one thousand. [note : the funnel of the reductor must never be allowed to empty. if it is left partially filled with water the reductor is ready for subsequent use after a very little washing; but a preliminary test is always necessary to safeguard against error. if more than a small drop of permanganate solution is required to color cc. of the dilute acid after the reductor is well washed, an allowance must be made for the iron in the zinc. !great care! must be used to prevent the access of air to the reductor after it has been washed out ready for use. if air enters, hydrogen peroxide forms, which reacts with the permanganate, and the results are worthless.] [note : the iron is reduced to the ferrous condition by contact with the zinc. the active agent may be considered to be !nascent! hydrogen, and it must be borne in mind that the visible bubbles are produced by molecular hydrogen, which is without appreciable effect upon ferric iron. the rate at which the iron solution passes through the zinc should not exceed that prescribed, but the rate may be increased somewhat when the wash-water is added. it is well to allow the iron solution to run nearly, but not entirely, out of the funnel before the wash-water is added. if it is necessary to interrupt the process, the complete emptying of the funnel can always be avoided by closing the stopcock. it is also possible to reduce the iron by treatment with zinc in a flask from which air is excluded. the zinc must be present in excess of the quantity necessary to reduce the iron and is finally completely dissolved. this method is, however, less convenient and more tedious than the use of the reductor.] [note : the dilute sulphuric acid for washing must be warmed ready for use before the reduction of the iron begins, and it is of the first importance that the volume of acid and of wash-water should be measured, and the volume used should always be the same in the standardizations and all subsequent analyses.] [note : the end-point is more permanent in cold than hot solutions, possibly because of a slight action of the permanganate upon the manganous sulphate formed during titration. if the solution turns brown, it is an evidence of insufficient acid, and more should be immediately added. the results are likely to be less accurate in this case, however, as a consequence of secondary reactions between the ferrous iron and the manganese dioxide thrown down. it is wiser to discard such results and repeat the process.] [note : the potassium permanganate may, of course, be diluted and brought to an exactly . n solution from the data here obtained. the percentage of iron in the iron wire must be taken into account in all calculations.] !method b! !oxalate standards! procedure.--weigh out two portions of pure sodium oxalate of . - . gram each into beakers of about cc. capacity. add about cc. of boiling water and cc. of manganous sulphate solution (note ). when the solution of the oxalate is complete, heat the liquid, if necessary, until near its boiling point ( - °c.) and run in the standard permanganate solution drop by drop from a burette, stirring constantly until an end-point is reached (note ). make a blank test with cc. of manganous sulphate solution and a volume of distilled water equal to that of the titrated solution to determine the volume of the permanganate solution required to produce a very slight pink. deduct this volume from the amount of permanganate solution used in the titration. from the data obtained, calculate the relation of the permanganate solution to the normal. the reaction involved is: na_{ }c_{ }o_{ } + kmno_{ } + h_{ }so_{ } --> na_{ }so_{ } + k_{ }so_{ } + mnso_{ } + co_{ } + h_{ }o [note : the manganous sulphate titrating solution is made by dissolving grams of mnso_{ } in cubic centimeters of water and adding cc. of concentrated sulphuric acid (sp. gr. . ) and cc. or phosphoric acid ( %).] [note : the reaction between oxalates and permanganates takes place quantitatively only in hot acid solutions. the temperatures must not fall below °c.] determination of iron in limonite !method a! the procedures, as here prescribed, are applicable to iron ores in general, provided these ores contain no constituents which are reduced by zinc or stannous chloride and reoxidized by permanganates. many iron ores contain titanium, and this element among others does interfere with the determination of iron by the process described. if, however, the solutions of such ores are treated with sulphureted hydrogen or sulphurous acid, instead of zinc or stannous chloride to reduce the iron, and the excess reducing agent removed by boiling, an accurate determination of the iron can be made. procedure.--grind the mineral to a fine powder. weigh out two portions of about . gram each into small porcelain crucibles. roast the ore at dull redness for ten minutes (note ), allow the crucibles to cool, and place them and their contents in casseroles containing cc. of dilute hydrochloric acid (sp. gr. . ). proceed with the solution of the ore, and the treatment of the residue, if necessary, exactly as described for the bichromate process on page . when solution is complete, add cc. of concentrated sulphuric acid to each casserole, and evaporate on the steam bath until the solution is nearly colorless (note ). cover the casseroles and heat over the flame of the burner, holding the casserole in the hand and rotating it slowly to hasten evaporation and prevent spattering, until the heavy white fumes of sulphuric anhydride are freely evolved (note ). cool the casseroles, add cc. of water (measured), and boil gently until the ferric sulphate is dissolved; pour the warm solution through the reductor which has been previously washed; proceed as described under standardization, taking pains to use the same volume and strength of acid and the same volume of wash-water as there prescribed, and titrate with the permanganate solution in the reductor flask, using the ferrous sulphate solution if the end-point should be overstepped. from the corrected volume of permanganate solution used, calculate the percentage of iron (fe) in the limonite. [note : the preliminary roasting is usually necessary because, even though the sulphuric acid would subsequently char the carbonaceous matter, certain nitrogenous bodies are not thereby rendered insoluble in the acid, and would be oxidized by the permanganate.] [note : the temperature of the steam bath is not sufficient to volatilize sulphuric acid. solutions may, therefore, be left to evaporate overnight without danger of evaporation to dryness.] [note : the hydrochloric acid, both free and combined, is displaced by the less volatile sulphuric acid at its boiling point. ferric sulphate separates at this point, since there is no water to hold it in solution and care is required to prevent bumping. the ferric sulphate usually has a silky appearance and is easily distinguished from the flocculent silica which often remains undissolved.] !zimmermann-reinhardt procedure! !method (b)! procedure.--grind the mineral to a fine powder. weigh out two portions of about . gram each into small porcelain crucibles. proceed with the solution of the ore, treat the residue, if necessary, and reduce the iron by the addition of stannous chloride, followed by mercuric chloride, as described for the bichromate process on page . dilute the solution to about cc. with cold water, add cc. of the manganous sulphate titrating solution (note , page ) and titrate with the standard potassium permanganate solution to a faint pink (note ). from the standardization data already obtained calculate the percentage of iron (fe) in the limonite. [note : it has already been noted that hydrochloric acid reacts slowly in cold solutions with potassium permanganate. it is, however, possible to obtain a satisfactory, although somewhat fugitive end-point in the presence of manganous sulphate and phosphoric acid. the explanation of the part played by these reagents is somewhat obscure as yet. it is possible that an intermediate manganic compound is formed which reacts rapidly with the ferrous compounds--thus in effect catalyzing the oxidizing process. while an excess of hydrochloric acid is necessary for the successful reduction of the iron by stannous chloride, too large an amount should be avoided in order to lessen the chance of reduction of the permanganate by the acid during titration.] determination of the oxidizing power of pyrolusite indirect oxidation pyrolusite, when pure, consists of manganese dioxide. its value as an oxidizing agent, and for the production of chlorine, depends upon the percentage of mno_{ } in the sample. this percentage is determined by an indirect method, in which the manganese dioxide is reduced and dissolved by an excess of ferrous sulphate or oxalic acid in the presence of sulphuric acid, and the unused excess determined by titration with standard permanganate solution. procedure.--grind the mineral in an agate mortar until no grit whatever can be detected under the pestle (note ). transfer it to a stoppered weighing-tube, and weigh out two portions of about . gram into beakers ( - cc.) read note , and then calculate in each case the weight of oxalic acid (h_{ }c_{ }o_{ }. h_{ }o) required to react with the weights of pyrolusite taken. the reaction involved is mno_{ } + h_{ }c_{ }o_{ }( h_{ }o) + h_{ }so_{ } --> mnso_{ } + co_{ } + h_{ }o. weigh out about . gram in excess of this quantity of !pure! oxalic acid into the corresponding beakers, weighing the acid accurately and recording the weight in the notebook. pour into each beaker cc. of water and cc. of dilute sulphuric acid ( : ), cover and warm the beaker and its contents gently until the evolution of carbon dioxide ceases (note ). if a residue remains which is sufficiently colored to obscure the end-reaction of the permanganate, it must be removed by filtration. finally, dilute the solution to - cc., heat the solution to a temperature just below boiling, add cc. of a manganese sulphate solution and while hot, titrate for the excess of the oxalic acid with standard permanganate solution (notes and ). from the corrected volume of the solution required, calculate the amount of oxalic acid undecomposed by the pyrolusite; subtract this from the total quantity of acid used, and calculate the weight of manganese dioxide which would react with the balance of the acid, and from this the percentage in the sample. [note : the success of the analysis is largely dependent upon the fineness of the powdered mineral. if properly ground, solution should be complete in fifteen minutes or less.] [note : a moderate excess of oxalic acid above that required to react with the pyrolusite is necessary to promote solution; otherwise the residual quantity of oxalic acid would be so small that the last particles of the mineral would scarcely dissolve. it is also desirable that a sufficient excess of the acid should be present to react with a considerable volume of the permanganate solution during the titration, thus increasing the accuracy of the process. on the other hand, the excess of oxalic acid should not be so large as to react with more of the permanganate solution than is contained in a cc. burette. if the pyrolusite under examination is known to be of high grade, say per cent pure, or above the calculation of the oxalic acid needed may be based upon an assumption that the mineral is all mno_{ }. if the quality of the mineral is unknown, it is better to weigh out three portions instead of two and to add to one of these the amount of oxalic prescribed, assuming complete purity of the mineral. then run in the permanganate solution from a pipette or burette to determine roughly the amount required. if the volume exceeds the contents of a burette, the amount of oxalic acid added to the other two portions is reduced accordingly.] [note : care should be taken that the sides of the beaker are not overheated, as oxalic acid would be decomposed by heat alone if crystallization should occur on the sides of the vessel. strong sulphuric acid also decomposes the oxalic acid. the dilute acid should, therefore, be prepared before it is poured into the beaker.] [note : ferrous ammonium sulphate, ferrous sulphate, or iron wire may be substituted for the oxalic acid. the reaction is then the following: feso_{ } + mno_{ } + h_{ }so_{ } --> fe_{ }(so_{ })_{ } + h_{ }o the excess of ferrous iron may also be determined by titration with potassium bichromate, if desired. care is required to prevent the oxidation of the iron by the air, if ferrous salts are employed.] [note : the oxidizing power of pyrolusite may be determined by other volumetric processes, one of which is outlined in the following reactions: mno_{ } + hcl --> mncl_{ } + cl_{ } + h_{ }o cl_{ } + ki --> i_{ } + kcl i_{ } + na_{ }s_{ }o_{ } --> na_{ }s_{ }o_{ } + nai. the chlorine generated by the pyrolusite is passed into a solution of potassium iodide. the liberated iodine is then determined by titration with sodium thiosulphate, as described on page . this is a direct process, although it involves three steps.] iodimetry the titration of iodine against sodium thiosulphate, with starch as an indicator, may perhaps be regarded as the most accurate of volumetric processes. the thiosulphate solution may be used in both acid and neutral solutions to measure free iodine and the latter may, in turn, serve as a measure of any substance capable of liberating iodine from potassium iodide under suitable conditions for titration, as, for example, in the process outlined in note on page . the fundamental reaction upon which iodometric processes are based is the following: i_{ } + na_{ }s_{ }o_{ } --> nai + na_{ }s_{ }o_{ }. this reaction between iodine and sodium thiosulphate, resulting in the formation of the compound na_{ }s_{ }o_{ }, called sodium tetrathionate, is quantitatively exact, and differs in that respect from the action of chlorine or bromine, which oxidize the thiosulphate, but not quantitatively. normal solutions of iodine and sodium thiosulphate if the formulas of sodium thiosulphate and sodium tetrathionate are written in a manner to show the atoms of oxygen associated with sulphur atoms in each, thus, (na_{ }).s_{ }o_{ } and na_{ }o.s_{ }o_{ }, it is plain that in the tetrathionate there are five atoms of oxygen associated with sulphur, instead of the four in the two molecules of the thiosulphate taken together. although, therefore, the iodine contains no oxygen, the two atoms of iodine have, in effect, brought about the addition of one oxygen atoms to the sulphur atoms. that is the same thing as saying that . grams of iodine (i_{ }) are equivalent to grams of oxygen; hence, since grams of oxygen is the basis of normal solutions, . / or . grams of iodine should be contained in one liter of normal iodine solution. by a similar course of reasoning the conclusion is reached that the normal solution of sodium thiosulphate should contain, per liter, its molecular weight in grams. as the thiosulphate in crystalline form has the formula na_{ }s_{ }o_{ }. h_{ }o, this weight is . grams. tenth-normal or hundredth-normal solutions are generally used. preparation of standard solutions !approximate strength, . n! procedure.--weigh out on the rough balances grams of commercial iodine. place it in a mortar with grams of potassium iodide and triturate with small portions of water until all is dissolved. dilute the solution to cc. and transfer to a liter bottle and mix thoroughly (note ).[ ] [footnote : it will be found more economical to have a considerable quantity of the solution prepared by a laboratory attendant, and to have all unused solutions returned to the common stock.] weigh out grams of sodium thiosulphate, dissolve it in water which has been previously boiled and cooled, and dilute to cc., also with boiled water. transfer the solution to a liter bottle and mix thoroughly (note ). [note : iodine solutions react with water to form hydriodic acid under the influence of the sunlight, and even at low room temperatures the iodine tends to volatilize from solution. they should, therefore, be protected from light and heat. iodine solutions are not stable for long periods under the best of conditions. they cannot be used in burettes with rubber tips, since they attack the rubber.] [note : sodium thiosulphate (na_{ }s_{ }o_{ }. h_{ }o) is rarely wholly pure as sold commercially, but may be purified by recrystallization. the carbon dioxide absorbed from the air by distilled water decomposes the salt, with the separation of sulphur. boiled water which has been cooled out of contact with the air should be used in preparing solutions.] indicator solution the starch solution for use as an indicator must be freshly prepared. a soluble starch is obtainable which serves well, and a solution of . gram of this starch in cc. of boiling water is sufficient. the solution should be filtered while hot and is ready for use when cold. if soluble starch is not at hand, potato starch may be used. mix about gram with cc. of cold water to a smooth paste, pour cc. of !boiling! water over it, warm for a moment on the hot plate, and put it aside to settle. decant the supernatant liquid through a filter and use the clear filtrate; cc. of this solution are needed for a titration. the solution of potato starch is less stable than the soluble starch. the solid particles of the starch, if not removed by filtration, become so colored by the iodine that they are not readily decolorized by the thiosulphate (note ). [note : the blue color which results when free iodine and starch are brought together is probably not due to the formation of a true chemical compound. it is regarded as a "solid solution" of iodine in starch. although it is unstable, and easily destroyed by heat, it serves as an indicator for the presence of free iodine of remarkable sensitiveness, and makes the iodometric processes the most satisfactory of any in the field of volumetric analysis.] comparison of iodine and thiosulphate solutions procedure.--place the solutions in burettes (the iodine in a glass-stoppered burette), observing the usual precautions. run out cc. of the thiosulphate solution into a beaker, dilute with cc. of water, add cc. to cc. of the soluble starch solution, and titrate with the iodine to the appearance of the blue of the iodo-starch. repeat until the ratio of the two solutions is established, remembering all necessary corrections for burettes and for temperature changes. standardization of solutions commercial iodine is usually not sufficiently pure to permit of its use as a standard for thiosulphate solutions or the direct preparation of a standard solution of iodine. it is likely to contain, beside moisture, some iodine chloride, if chlorine was used to liberate the iodine when it was prepared. it may be purified by sublimation after mixing it with a little potassium iodide, which reacts with the iodine chloride, forming potassium chloride and setting free the iodine. the sublimed iodine is then dried by placing it in a closed container over concentrated sulphuric acid. it may then be weighed in a stoppered weighing-tube and dissolved in a solution of potassium iodide in a stoppered flask to prevent loss of iodine by volatilization. about grams of the iodide and twelve grams of iodine per liter are required for an approximately tenth-normal solution. an iodine solution made from commercial iodine may also be standardized against arsenious oxide (as_{ }o_{ }). this substance also usually requires purification by sublimation before use. the substances usually employed for the standardization of a thiosulphate solution are potassium bromate and metallic copper. the former is obtainable in pure condition or may be easily purified by re-crystallization. copper wire of high grade is sufficiently pure to serve as a standard. both potassium bromate and cupric salts in solution will liberate iodine from an iodide, which is then titrated with the thiosulphate solution. the reactions involved are the following: (a) kbro_{ } + ki + h_{ }so_{ } --> kbr + i_{ } + k_{ }so_{ } + h_{ }o, (b) cu + hno_{ } --> cu(no_{ })_{ } + no + h_{ }o, cu(no_{ })_{ } + ki --> cui + kno_{ } + i_{ }. two methods for the direct standardization of the sodium thiosulphate solution are here described, and one for the direct standardization of the iodine solution. !method a! procedure.--weigh out into cc. beakers two portions of about . - . gram of potassium bromate. dissolve each of these in cc. of water, and add cc. of a potassium iodide solution containing grams of the salt in that volume (note ). add to the mixture cc. of dilute sulphuric acid ( volume of sulphuric acid with volumes of water), allow the solution to stand for three minutes, and dilute to cc. (note ). run in thiosulphate solution from a burette until the color of the liberated iodine is nearly destroyed, and then add cc. or cc. of starch solution, titrate to the disappearance of the iodo-starch blue, and finally add iodine solution until the color is just restored. make a blank test for the amount of thiosulphate solution required to react with the iodine liberated by the iodate which is generally present in the potassium iodide solution, and deduct this from the total volume used in the titration. from the data obtained, calculate the relation of the thiosulphate solution to a normal solution, and subsequently calculate the similar value for the iodine solution. [note :--potassium iodide usually contains small amounts of potassium iodate as impurity which, when the iodide is brought into an acid solution, liberates iodine, just as does the potassium bromate used as a standard. it is necessary to determine the amount of thiosulphate which reacts with the iodine thus liberated by making a "blank test" with the iodide and acid alone. as the iodate is not always uniformly distributed throughout the iodide, it is better to make up a sufficient volume of a solution of the iodide for the purposes of the work in hand, and to make the blank test by using the same volume of the iodide solution as is added in the standardizing process. the iodide solution should contain about grams of the salt in cc.] [note : the color of the iodo-starch is somewhat less satisfactory in concentrated solutions of the alkali salts, notably the iodides. the dilution prescribed obviates this difficulty.] !method b! procedure.--weigh out two portions of . - . gram of clean copper wire into cc. erlenmeyer flasks (note ). add to each cc. of concentrated nitric acid (sp. gr. . ) and cc. of water, cover, and warm until solution is complete. add cc. of bromine water and boil until the excess of bromine is expelled. cool, and add strong ammonia (sp. gr. . ) drop by drop until a deep blue color indicates the presence of an excess. boil the solution until the deep blue is replaced by a light bluish green, or a brown stain appears on the sides of the flask (note ). add cc. of strong acetic acid (sp. gr. . ), cool under the water tap, and add a solution of potassium iodide (note ) containing about grams of the salt, and titrate with thiosulphate solution until the color of the liberated iodine is nearly destroyed. then add - cc. of freshly prepared starch solution, and add thiosulphate solution, drop by drop, until the blue color is discharged. from the data obtained, including the "blank test" of the iodide, calculate the relation of the thiosulphate solution to the normal. [note : while copper wire of commerce is not absolutely pure, the requirements for its use as a conductor of electricity are such that the impurities constitute only a few hundredths of one per cent and are negligible for analytical purposes.] [note : ammonia neutralizes the free nitric acid. it should be added in slight excess only, since the excess must be removed by boiling, which is tedious. if too much ammonia is present when acetic acid is added, the resulting ammonium acetate is hydrolyzed, and the ammonium hydroxide reacts with the iodine set free.] [note : a considerable excess of potassium iodide is necessary for the prompt liberation of iodine. while a large excess will do no harm, the cost of this reagent is so great that waste should be avoided.] !method c! procedure.--weigh out into cc. beakers two portions of . - . gram each of pure arsenious oxide. dissolve each of these in cc. of sodium hydroxide solution, with stirring. dilute the solutions to cc. and add dilute hydrochloric acid until the solutions contain a few drops in excess, and finally add to each a concentrated solution of grams of pure sodium bicarbonate (nahco_{ }) in water. cover the beakers before adding the bicarbonate, to avoid loss. add the starch solution and titrate with the iodine to the appearance of the blue of the iodo-starch, taking care not to pass the end-point by more than a few drops (note ). from the corrected volume of the iodine solution used to oxidize the arsenious oxide, calculate its relation to the normal. from the ratio between the solutions, calculate the similar value for the thiosulphate solution. [note : arsenious oxide dissolves more readily in caustic alkali than in a bicarbonate solution, but the presence of caustic alkali during the titration is not admissible. it is therefore destroyed by the addition of acid, and the solution is then made neutral with the solution of bicarbonate, part of which reacts with the acid, the excess remaining in solution. the reaction during titration is the following: na_{ }aso_{ } + i_{ } + nahco_{ } --> na_{ }aso_{ } + nai + co_{ } + h_{ }o as the reaction between sodium thiosulphate and iodine is not always free from secondary reactions in the presence of even the weakly alkaline bicarbonate, it is best to avoid the addition of any considerable excess of iodine. should the end-point be passed by a few drops, the thiosulphate may be used to correct it.] determination of copper in ores copper ores vary widely in composition from the nearly pure copper minerals, such as malachite and copper sulphide, to very low grade materials which contain such impurities as silica, lead, iron, silver, sulphur, arsenic, and antimony. in nearly all varieties there will be found a siliceous residue insoluble in acids. the method here given, which is a modification of that described by a.h. low (!j. am. chem. soc.! ( ), , ), provides for the extraction of the copper from commonly occurring ores, and for the presence of their common impurities. for practice analyses it is advisable to select an ore of a fair degree of purity. procedure.-- weigh out two portions of about . gram each of the ore (which should be ground until no grit is detected) into cc. erlenmeyer flasks or small beakers. add cc. of concentrated nitric acid (sp. gr. . ) and heat very gently until the ore is decomposed and the acid evaporated nearly to dryness (note ). add cc. of concentrated hydrochloric acid (sp. gr. . ) and warm gently. then add about cc. of concentrated sulphuric acid (sp. gr. . ) and evaporate over a free flame until the sulphuric acid fumes freely (note ). it has then displaced nitric and hydrochloric acid from their compounds. cool the flask or beaker, add cc. of water, heat the solution to boiling, and boil for two minutes. filter to remove insoluble sulphates, silica and any silver that may have been precipitated as silver chloride, and receive the filtrate in a small beaker, washing the precipitate and filter paper with warm water until the filtrate and washings amount to cc. bend a strip of aluminium foil ( cm. x cm.) into triangular form and place it on edge in the beaker. cover the beaker and boil the solution (being careful to avoid loss of liquid by spattering) for ten minutes, but do not evaporate to small volume. wash the cover glass and sides of the beaker. the copper should now be in the form of a precipitate at the bottom of the beaker or adhering loosely to the aluminium sheet. remove the sheet, wash it carefully with hydrogen sulphide water and place it in a small beaker. decant the solution through a filter, wash the precipitated copper twice by decantation with hydrogen sulphide water, and finally transfer the copper to the filter paper, where it is again washed thoroughly, being careful at all times to keep the precipitated copper covered with the wash water. remove and discard the filtrate and place an erlenmeyer flask under the funnel. pour cc. of dilute nitric acid (sp. gr. . ) over the aluminium foil in the beaker, thus dissolving any adhering copper. wash the foil with hot water and remove it. warm this nitric acid solution and pour it slowly through the filter paper, thereby dissolving the copper on the paper, receiving the acid solution in the erlenmeyer flask. before washing the paper, pour cc. of saturated bromine water (note ) through it and finally wash the paper carefully with hot water and transfer any particles of copper which may be left on it to the erlenmeyer flask. boil to expel the bromine. add concentrated ammonia drop by drop until the appearance of a deep blue coloration indicates an excess. boil until the deep blue is displaced by a light bluish green coloration, or until brown stains form on the sides of the flask. add cc. of strong acetic acid (note ) and cool under the water tap. add a solution containing about grams of potassium iodide, as in the standardization, and titrate with thiosulphate solution until the yellow of the liberated iodine is nearly discharged. add - cc. of freshly prepared starch solution and titrate to the disappearance of the blue color. from the data obtained, calculate the percentage of copper (cu) in the ore. [note : nitric acid, because of its oxidizing power, is used as a solvent for the sulphide ores. as a strong acid it will also dissolve the copper from carbonate ores. the hydrochloric acid is added to dissolve oxides of iron and to precipitate silver and lead. the sulphuric acid displaces the other acids, leaving a solution containing sulphates only. it also, by its dehydrating action, renders silica from silicates insoluble.] [note : unless proper precautions are taken to insure the correct concentrations of acid the copper will not precipitate quantitatively on the aluminium foil; hence care must be taken to follow directions carefully at this point. lead and silver have been almost completely removed as sulphate and chloride respectively, or they too would be precipitated on the aluminium. bismuth, though precipitated on aluminium, has no effect on the analysis. arsenic and antimony precipitate on aluminium and would interfere with the titration if allowed to remain in the lower state of oxidation.] [note : bromine is added to oxidize arsenious and antimonious compounds from the original sample, and to oxidize nitrous acid formed by the action of nitric acid on copper and copper sulphide.] [note : this reaction can be carried out in the presence of sulphuric and hydrochloric acids as well as acetic acid, but in the presence of these strong acids arsenic and antimonic acids may react with the hydriodic acid produced with the liberation of free iodine, thereby reversing the process and introducing an error.] determination of antimony in stibnite stibnite is native antimony sulphide. nearly pure samples of this mineral are easily obtainable and should be used for practice, since many impurities, notably iron, seriously interfere with the accurate determination of the antimony by iodometric methods. it is, moreover, essential that the directions with respect to amounts of reagents employed and concentration of solutions should be followed closely. procedure.--grind the mineral with great care, and weigh out two portions of . - . gram into small, dry beakers ( cc.). cover the beakers and pour over the stibnite cc. of concentrated hydrochloric acid (sp. gr. . ) and warm gently on the water bath (note ). when the residue is white, add to each beaker grams of powdered tartaric acid (note ). warm the solution on the water bath for ten minutes longer, dilute the solution very cautiously by adding water in portions of cc., stopping if the solution turns red. it is possible that no coloration will appear, in which case cautiously continue the dilution to cc. if a red precipitate or coloration does appear, warm the solution until it is colorless, and again dilute cautiously to a total volume of cc. and boil for a minute (note ). if a white precipitate of the oxychloride separates during dilution (which should not occur if the directions are followed), it is best to discard the determination and to start anew. carefully neutralize most of the acid with ammonium hydroxide solution (sp. gr. . ), but leave it distinctly acid (note ). dissolve grams of sodium bicarbonate in cc. of water in a cc. beaker, and pour the cold solution of the antimony chloride into this, avoiding loss by effervescence. make sure that the solution contains an excess of the bicarbonate, and then add cc. or cc. of starch solution and titrate with iodine solution to the appearance of the blue, avoiding excess (notes and ). from the corrected volume of the iodine solution required to oxidize the antimony, calculate the percentage of antimony (sb) in the stibnite. [note : antimony chloride is volatile with steam from its concentrated solutions; hence these solutions must not be boiled until they have been diluted.] [note : antimony salts, such as the chloride, are readily hydrolyzed, and compounds such as sbocl are formed which are often relatively insoluble; but in the presence of tartaric acid compounds with complex ions are formed, and these are soluble. an excess of hydrochloric acid also prevents precipitation of the oxychloride because the h^{+} ions from the acid lessen the dissociation of the water and thus prevent any considerable hydrolysis.] [note : the action of hydrochloric acid upon the sulphide sets free sulphureted hydrogen, a part of which is held in solution by the acid. this is usually expelled by the heating upon the water bath; but if it is not wholly driven out, a point is reached during dilution at which the antimony sulphide, being no longer held in solution by the acid, separates. if the dilution is immediately stopped and the solution warmed, this sulphide is again brought into solution and at the same time more of the sulphureted hydrogen is expelled. this procedure must be continued until the sulphureted hydrogen is all removed, since it reacts with iodine. if no precipitation of the sulphide occurs, it is an indication that the sulphureted hydrogen was all expelled on solution of the stibnite.] [note : ammonium hydroxide is added to neutralize most of the acid, thus lessening the amount of sodium bicarbonate to be added. the ammonia should not neutralize all of the acid.] [note : the reaction which takes place during titration may be expressed thus: na_{ }sbo_{ } + nahco_{ } + i_{ } --> na_{ }sbo_{ } + nai + h_{ }o + co_{ }.] [note : if the end-point is not permanent, that is, if the blue of the iodo-starch is discharged after standing a few moments, the cause may be an insufficient quantity of sodium bicarbonate, leaving the solution slightly acid, or a very slight precipitation of an antimony compound which is slowly acted upon by the iodine when the latter is momentarily present in excess. in either case it is better to discard the analysis and to repeat the process, using greater care in the amounts of reagents employed.] chlorimetry the processes included under the term !chlorimetry! comprise those employed to determine chlorine, hypochlorites, bromine, and hypobromites. the reagent employed is sodium arsenite in the presence of sodium bicarbonate. the reaction in the case of the hypochlorites is naclo + na_{ }aso_{ } --> na_{ }aso_{ } + nacl. the sodium arsenite may be prepared from pure arsenious oxide, as described below, and is stable for considerable periods; but commercial oxide requires resublimation to remove arsenic sulphide, which may be present in small quantity. to prepare the solution, dissolve about grams of the powdered oxide, accurately weighed, in cc. of a concentrated sodium hydroxide solution, dilute the solution to cc., and make it faintly acid with dilute hydrochloric acid. add grams of sodium bicarbonate dissolved in a little water, and dilute the solution to exactly cc. in a measuring flask. transfer the solution to a dry liter bottle and mix thoroughly. it is possible to dissolve the arsenious oxide directly in a solution of sodium bicarbonate, with gentle warming, but solution in sodium hydroxide takes place much more rapidly, and the excess of the hydroxide is readily neutralized by hydrochloric acid, with subsequent addition of the bicarbonate to maintain neutrality during the titration. the indicator required for this process is made by dipping strips of filter paper in a starch solution prepared as described on page , to which gram of potassium iodide has been added. these strips are allowed to drain and spread upon a watch-glass until dry. when touched by a drop of the solution the paper turns blue until the hypochlorite has all been reduced and an excess of the arsenite has been added. determination of the available chlorine in bleaching powder bleaching powder consists mainly of a calcium compound which is a derivative of both hydrochloric and hypochlorous acids. its formula is caclocl. its use as a bleaching or disinfecting agent, or as a source of chlorine, depends upon the amount of hypochlorous acid which it yields when treated with a stronger acid. it is customary to express the value of bleaching powder in terms of "available chlorine," by which is meant the chlorine present as hypochlorite, but not the chlorine present as chloride. procedure.--weigh out from a stoppered test tube into a porcelain mortar about . grams of bleaching powder (note ). triturate the powder in the mortar with successive portions of water until it is well ground and wash the contents into a cc. measuring flask (note ). fill the flask to the mark with water and shake thoroughly. measure off cc. of this semi-solution in a measuring flask, or pipette, observing the precaution that the liquid removed shall contain approximately its proportion of suspended matter. empty the flask or pipette into a beaker and wash it out. run in the arsenite solution from a burette until no further reaction takes place on the starch-iodide paper when touched by a drop of the solution of bleaching powder. repeat the titration, using a second cc. portion. from the volume of solution required to react with the bleaching powder, calculate the percentage of available chlorine in the latter, assuming the titration reaction to be that between chlorine and arsenious oxide: as_{ }o_{ } + cl_{ } + h_{ }o --> as_{ }o_{ } + hcl note that only one twentieth of the original weight of bleaching powder enters into the reaction. [note : the powder must be triturated until it is fine, otherwise the lumps will inclose calcium hypochlorite, which will fail to react with the arsenious acid. the clear supernatant liquid gives percentages which are below, and the sediment percentages which are above, the average. the liquid measured off should, therefore, carry with it its proper proportion of the sediment, so far as that can be brought about by shaking the solution just before removal of the aliquot part for titration.] [note : bleaching powder is easily acted upon by the carbonic acid in the air, which liberates the weak hypochlorous acid. this, of course, results in a loss of available chlorine. the original material for analysis should be kept in a closed container and protected form the air as far as possible. it is difficult to obtain analytical samples which are accurately representative of a large quantity of the bleaching powder. the procedure, as outlined, will yield results which are sufficiently exact for technical purposes.] iii. precipitation methods determination of silver by the thiocyanate process the addition of a solution of potassium or ammonium thiocyanate to one of silver in nitric acid causes a deposition of silver thiocyanate as a white, curdy precipitate. if ferric nitrate is also present, the slightest excess of the thiocyanate over that required to combine with the silver is indicated by the deep red which is characteristic of the thiocyanate test for iron. the reactions involved are: agno_{ } + kscn --> agscn + kno_{ }, kscn + fe(no_{ })_{ } --> fe(scn)_{ } + kno_{ }. the ferric thiocyanate differs from the great majority of salts in that it is but very little dissociated in aqueous solutions, and the characteristic color appears to be occasioned by the formation of the un-ionized ferric salt. the normal solution of potassium thiocyanate should contain an amount of the salt per liter of solution which would yield sufficient (cns)^{-} to combine with one gram of hydrogen to form hcns, i.e., a gram-molecular weight of the salt or . grams. if the ammonium thiocyanate is used, the amount is . grams. to prepare the solution for this determination, which should be approximately . n, dissolve about grams of potassium thiocyanate, or grams of ammonium thiocyanate, in a small amount of water; dilute this solution to cc. in a liter bottle and mix as usual. prepare cc. of a saturated solution of ferric alum and add cc. of dilute nitric acid (sp. gr. . ). about cc. of this solution should be used as an indicator. standardization procedure.--crush a small quantity of silver nitrate crystals in a mortar (note ). transfer them to a watch-glass and dry them for an hour at °c., protecting them from dust or other organic matter (note ). weigh out two portions of about . gram each and dissolve them in cc. of water. add cc. of dilute nitric acid which has been recently boiled to expel the lower oxides of nitrogen, if any, and then add cc. of the indicator solution. run in the thiocyanate solution from a burette, with constant stirring, allowing the precipitate to settle occasionally to obtain an exact recognition of the end-point, until a faint red tinge can be detected in the solution. from the data obtained, calculate the relation of the thiocyanate solution to the normal. [note : the thiocyanate cannot be accurately weighed; its solutions must, therefore, be standardized against silver nitrate (or pure silver), either in the form of a standard solution or in small, weighed portions.] [note : the crystals of silver nitrate sometimes inclose water which is expelled on drying. if the nitrate has come into contact with organic bodies it suffers a reduction and blackens during the heating. it is plain that a standard solution of silver nitrate (made by weighing out the crystals) is convenient or necessary if many titrations of this nature are to be made. in the absence of such a solution the liability of passing the end-point is lessened by setting aside a small fraction of the silver solution, to be added near the close of the titration.] determination of silver in coin procedure.-- weigh out two portions of the coin of about . gram each. dissolve them in cc. of dilute nitric acid (sp. gr. . ) and boil until all the nitrous compounds are expelled (note ). cool the solution, dilute to cc., and add cc. of the indicator solution, and titrate with the thiocyanate to the appearance of the faint red coloration (note ). from the corrected volume of the thiocyanate solution required, calculate the percentage of silver in the coin. [note : the reaction with silver may be carried out in nitric acid solutions and in the presence of copper, if the latter does not exceed per cent. above that percentage it is necessary to add silver in known quantity to the solution. the liquid must be cold at the time of titration and entirely free from nitrous compounds, as these sometimes cause a reddening of the indicator solution. all utensils, distilled water, the nitric acid and the beakers must be free from chlorides, as the presence of these will cause precipitation of silver chloride, thereby introducing an error.] [note : the solution containing the silver precipitate, as well as those from the standardization, should be placed in the receptacle for "silver residues" as a matter of economy.] part iii gravimetric analysis general directions gravimetric analyses involve the following principal steps: first, the weighing of the sample; second, the solution of the sample; third, the separation of some substance from solution containing, or bearing a definite relation to, the constituent to be measured, under conditions which render this separation as complete as possible; and finally, the segregation of that substance, commonly by filtration, and the determination of its weight, or that of some stable product formed from it on ignition. for example, the gravimetric determination of aluminium is accomplished by solution of the sample, by precipitation in the form of hydroxide, collection of the hydroxide upon a filter, complete removal by washing of all foreign soluble matter, and the burning of the filter and ignition of the precipitate to aluminium oxide, in which condition it is weighed. among the operations which are common to nearly all gravimetric analyses are precipitation, washing of precipitates, ignition of precipitates, and the use of desiccators. in order to avoid burdensome repetitions in the descriptions of the various gravimetric procedures which follow, certain general instructions are introduced at this point. these instructions must, therefore, be considered to be as much a part of all subsequent procedures as the description of apparatus, reagents, or manipulations. the analytical balance, the fundamentally important instrument in gravimetric analysis, has already been described on pages to . precipitation for successful quantitative precipitations those substances are selected which are least soluble under conditions which can be easily established, and which separate from solution in such a state that they can be filtered readily and washed free from admixed material. in general, the substances selected are the same as those already familiar to the student of qualitative analysis. when possible, substances are selected which separate in crystalline form, since such substances are less likely to clog the pores of filter paper and can be most quickly washed. in order to increase the size of the crystals, which further promotes filtration and washing, it is often desirable to allow a precipitate to remain for some time in contact with the solution from which it has separated. the solution is often kept warm during this period of "digestion." the small crystals gradually disappear and the larger crystals increase in size, probably as the result of the force known as surface tension, which tends to reduce the surface of a given mass of material to a minimum, combined with a very slightly greater solubility of small crystals as compared with the larger ones. amorphous substances, such as ferric hydroxide, aluminium hydroxide, or silicic acid, separate in a gelatinous form and are relatively difficult to filter and wash. substances of this class also exhibit a tendency to form, with pure water, what are known as colloidal solutions. to prevent this as far as possible, they are washed with solutions of volatile salts, as will be described in some of the following procedures. in all precipitations the reagent should be added slowly, with constant stirring, and should be hot when circumstances permit. the slow addition is less likely to occasion contamination of the precipitate by the inclosure of other substances which may be in the solution, or of the reagent itself. funnels and filters filtration in analytical processes is most commonly effected through paper filters. in special cases these may be advantageously replaced by an asbestos filter in a perforated porcelain or platinum crucible, commonly known, from its originator, as a "gooch filter." the operation and use of a filter of this type is described on page . porous crucibles of a material known as alundum may also be employed to advantage in special cases. the glass funnels selected for use with paper filters should have an angle as near ° as possible, and a narrow stem about six inches in length. the filters employed should be washed filters, i.e., those which have been treated with hydrochloric and hydrofluoric acids, and which on incineration leave a very small and definitely known weight of ash, generally about . gram. such filters are readily obtainable on the market. the filter should be carefully folded to fit the funnel according to either of the two well-established methods described in the appendix. it should always be placed so that the upper edge of the paper is about one fourth inch below the top of the funnel. under no circumstances should the filter extend above the edge of the funnel, as it is then utterly impossible to effect complete washing. to test the efficiency of the filter, fill it with distilled water. this water should soon fill the stem completely, forming a continuous column of liquid which, by its hydrostatic pressure, produces a gentle suction, thus materially promoting the rapidity of filtration. unless the filter allows free passage of water under these conditions, it is likely to give much trouble when a precipitate is placed upon it. the use of a suction pump to promote filtration is rarely altogether advantageous in quantitative analysis, if paper filters are employed. the tendency of the filter to break, unless the point of the filter paper is supported by a perforated porcelain cone or a small "hardened filter" of parchment, and the tendency of the precipitates to pass through the pores of the filter, more than compensate for the possible gain in time. on the other hand, filtration by suction may be useful in the case of precipitates which do not require ignition before weighing, or in the case of precipitates which are to be discarded without weighing. this is best accomplished with the aid of the special apparatus called a gooch filter referred to above. filtration and washing of precipitates solutions should be filtered while hot, as far as possible, since the passage of a liquid through the pores of a filter is retarded by friction, and this, for water at °c., is less than one sixth of the resistance at °c. when the filtrate is received in a beaker, the stem of the funnel should touch the side of the receiving vessel to avoid loss by spattering. neglect of this precaution is a frequent source of error. the vessels which contain the initial filtrate should !always! be replaced by clean ones, properly labeled, before the washing of a precipitate begins. in many instances a finely divided precipitate which shows no tendency to pass through the filter at first, while the solution is relatively dense, appears at once in the washings. under such conditions the advantages accruing from the removal of the first filtrate are obvious, both as regards the diminished volume requiring refiltration, and also the smaller number of washings subsequently required. much time may often be saved by washing precipitates by decantation, i.e., by pouring over them, while still in the original vessel, considerable volumes of wash-water and allowing them to settle. the supernatant, clear wash-water is then decanted through the filter, so far as practicable without disturbing the precipitate, and a new portion of wash-water is added. this procedure can be employed to special advantage with gelatinous precipitates, which fill up the pores of the filter paper. as the medium from which the precipitate is to settle becomes less dense it subsides less readily, and it ultimately becomes necessary to transfer it to the filter and complete the washing there. a precipitate should never completely fill a filter. the wash-water should be applied at the top of the filter, above the precipitate. it may be shown mathematically that the washing is most !rapidly! accomplished by filling the filter well to the top with wash-water each time, and allowing it to drain completely after each addition; but that when a precipitate is to be washed with the !least possible volume! of liquid the latter should be applied in repeated !small! quantities. gelatinous precipitates should not be allowed to dry before complete removal of foreign matter is effected. they are likely to shrink and crack, and subsequent additions of wash-water pass through these channels only. all filtrates and wash-waters without exception must be properly tested. !this lies at the foundation of accurate work!, and the student should clearly understand that it is only by the invariable application of this rule that assurance of ultimate reliability can be secured. every original filtrate must be tested to prove complete precipitation of the compound to be separated, and the wash-waters must also be tested to assure complete removal of foreign material. in testing the latter, the amount first taken should be but a few drops if the filtrate contains material which is to be subsequently determined. when, however, the washing of the filter and precipitate is nearly completed the amount should be increased, and for the final test not less than cc. should be used. it is impossible to trust to one's judgment with regard to the washing of precipitates; the washings from !each precipitate! of a series simultaneously treated must be tested, since the rate of washing will often differ materially under apparently similar conditions, !no exception can ever be made to this rule!. the habit of placing a clean common filter paper under the receiving beaker during filtration is one to be commended. on this paper a record of the number of washings can very well be made as the portions of wash-water are added. it is an excellent practice, when possible, to retain filtrates and precipitates until the completion of an analysis, in order that, in case of question, they may be examined to discover sources of error. for the complete removal of precipitates from containing vessels, it is often necessary to rub the sides of these vessels to loosen the adhering particles. this can best be done by slipping over the end of a stirring rod a soft rubber device sometimes called a "policeman." desiccators desiccators should be filled with fused, anhydrous calcium chloride, over which is placed a clay triangle, or an iron triangle covered with silica tubes, to support the crucible or other utensils. the cover of the desiccator should be made air-tight by the use of a thin coating of vaseline. pumice moistened with concentrated sulphuric acid may be used in place of the calcium chloride, and is essential in special cases; but for most purposes the calcium chloride, if renewed occasionally and not allowed to cake together, is practically efficient and does not slop about when the desiccator is moved. desiccators should never remain uncovered for any length of time. the dehydrating agents rapidly lose their efficiency on exposure to the air. crucibles it is often necessary in quantitative analysis to employ fluxes to bring into solution substances which are not dissolved by acids. the fluxes in most common use are sodium carbonate and sodium or potassium acid sulphate. in gravimetric analysis it is usually necessary to ignite the separated substance after filtration and washing, in order to remove moisture, or to convert it through physical or chemical changes into some definite and stable form for weighing. crucibles to be used in fusion processes must be made of materials which will withstand the action of the fluxes employed, and crucibles to be used for ignitions must be made of material which will not undergo any permanent change during the ignition, since the initial weight of the crucible must be deducted from the final weight of the crucible and product to obtain the weight of the ignited substance. the three materials which satisfy these conditions, in general, are platinum, porcelain, and silica. platinum crucibles have the advantage that they can be employed at high temperatures, but, on the other hand, these crucibles can never be used when there is a possibility of the reduction to the metallic state of metals like lead, copper, silver, or gold, which would alloy with and ruin the crucible. when platinum crucibles are used with compounds of arsenic or phosphorus, special precautions are necessary to prevent damage. this statement applies to both fusions and ignitions. fusions with sodium carbonate can be made only in platinum, since porcelain or silica crucibles are attacked by this reagent. acid sulphate fusions, which require comparatively low temperatures, can sometimes be made in platinum, although platinum is slightly attacked by the flux. porcelain or silica crucibles may be used with acid fluxes. silica crucibles are less likely to crack on heating than porcelain crucibles on account of their smaller coefficient of expansion. ignition of substances not requiring too high a temperature may be made in porcelain or silica crucibles. iron, nickel or silver crucibles are used in special cases. in general, platinum crucibles should be used whenever such use is practicable, and this is the custom in private, research or commercial laboratories. platinum has, however, become so valuable that it is liable to theft unless constantly under the protection of the user. as constant protection is often difficult in instructional laboratories, it is advisable, in order to avoid serious monetary losses, to use porcelain or silica crucibles whenever these will give satisfactory service. when platinum utensils are used the danger of theft should always be kept in mind. preparation of crucibles for use all crucibles, of whatever material, must always be cleaned, ignited and allowed to cool in a desiccator before weighing, since all bodies exposed to the air condense on their surfaces a layer of moisture which increases their weight. the amount and weight of this moisture varies with the humidity of the atmosphere, and the latter may change from hour to hour. the air in the desiccator (see above) is kept at a constant and low humidity by the drying agent which it contains. bodies which remain in a desiccator for a sufficient time (usually - minutes) retain, therefore, on their surfaces a constant weight of moisture which is the same day after day, thus insuring constant conditions. hot objects, such as ignited crucibles, should be allowed to cool in the air until, when held near the skin, but little heat is noticeable. if this precaution is not taken, the air within the desiccator is strongly heated and expands before the desiccator is covered. as the temperature falls, the air contracts, causing a reduction of air pressure within the covered vessel. when the cover is removed (which is often rendered difficult) the inrush of air from the outside may sweep light particles out of a crucible, thus ruining an entire analysis. constant heating of platinum causes a slight crystallization of the surface which, if not removed, penetrates into the crucible. gentle polishing of the surface destroys the crystalline structure and prevents further damage. if sea sand is used for this purpose, great care is necessary to keep it from the desk, since beakers are easily scratched by it, and subsequently crack on heating. platinum crucibles stained in use may often be cleaned by the fusion in them of potassium or sodium acid sulphate, or by heating with ammonium chloride. if the former is used, care should be taken not to heat so strongly as to expel all of the sulphuric acid, since the normal sulphates sometimes expand so rapidly on cooling as to split the crucible. the fused material should be poured out, while hot, on to a !dry! tile or iron surface. ignition of precipitates most precipitates may, if proper precautions are taken, be ignited without previous drying. if, however, such precipitates can be dried without loss of time to the analyst (as, for example, over night), it is well to submit them to this process. it should, nevertheless, be remembered that a partially dried precipitate often requires more care during ignition than a thoroughly moist one. the details of the ignition of precipitates vary so much with the character of the precipitate, its moisture content, and temperature to which it is to be heated, that these details will be given under the various procedures which follow. determination of chlorine in sodium chloride !method a. with the use of a gooch filter! procedure.--carefully clean a weighing-tube containing the sodium chloride, handling it as little as possible with the moist fingers, and weigh it accurately to . gram, recording the weight at once in the notebook (see appendix). hold the tube over the top of a beaker ( - cc.), and cautiously remove the stopper, noting carefully that no particles fall from it, or from the tube, elsewhere than into the beaker. pour out a small portion of the chloride, replace the stopper, and determine by approximate weighing how much has been removed. continue this procedure until . - . gram has been taken from the tube, then weigh accurately and record the weight beneath the first in the notebook. the difference of the two weights represents the weight of the chloride taken for analysis. again weigh a second portion of . - . gram into a second beaker of the same size as the first. the beakers should be plainly marked to correspond with the entries in the notebook. dissolve each portion of the chloride in cc. of distilled water and add about ten drops of dilute nitric acid (sp. gr. . ) (note ). calculate the volume of silver nitrate solution required to effect complete precipitation in each case, and add slowly about cc. in excess of that amount, with constant stirring. heat the solutions cautiously to boiling, stirring occasionally, and continue the heating and stirring until the precipitates settle promptly, leaving a nearly clear supernatant liquid (note ). this heating should not take place in direct sunlight (note ). the beaker should be covered with a watch-glass, and both boiling and stirring so regulated as to preclude any possibility of loss of material. add to the clear liquid one or two drops of silver nitrate solution, to make sure that an excess of the reagent is present. if a precipitate, or cloudiness, appears as the drops fall into the solution, heat again, and stir until the whole precipitate has coagulated. the solution is then ready for filtration. prepare a gooch filter as follows: fold over the top of a gooch funnel (fig. ) a piece of rubber-band tubing, such as is known as "bill-tie" tubing, and fit into the mouth of the funnel a perforated porcelain crucible (gooch crucible), making sure that when the crucible is gently forced into the mouth of the funnel an airtight joint results. (a small or - / -inch glass funnel may be used, in which case the rubber tubing is stretched over the top of the funnel and then drawn up over the side of the crucible until an air-tight joint is secured.) [illustration: fig. ] fit the funnel into the stopper of a filter bottle, and connect the filter bottle with the suction pump. suspend some finely divided asbestos, which has been washed with acid, in to cc. of water (note ); allow this to settle, pour off the very fine particles, and then pour some of the mixture cautiously into the crucible until an even felt of asbestos, not over / inch in thickness, is formed. a gentle suction must be applied while preparing this felt. wash the felt thoroughly by passing through it distilled water until all fine or loose particles are removed, increasing the suction at the last until no more water can be drawn out of it; place on top of the felt the small, perforated porcelain disc and hold it in place by pouring a very thin layer of asbestos over it, washing the whole carefully; then place the crucible in a small beaker, and place both in a drying closet at - °c. for thirty to forty minutes. cool the crucible in a desiccator, and weigh. heat again for twenty to thirty minutes, cool, and again weigh, repeating this until the weight is constant within . gram. the filter is then ready for use. place the crucible in the funnel, and apply a gentle suction, !after which! the solution to be filtered may be poured in without disturbing the asbestos felt. when pouring liquid onto a gooch filter hold the stirring-rod at first well down in the crucible, so that the liquid does not fall with any force upon the asbestos, and afterward keep the crucible will filled with the solution. pour the liquid above the silver chloride slowly onto the filter, leaving the precipitate in the beaker as far as possible. wash the precipitate twice by decantation with warm water; then transfer it to the filter with the aid of a stirring-rod with a rubber tip and a stream from the wash-bottle. examine the first portions of the filtrate which pass through the filter with great care for asbestos fibers, which are most likely to be lost at this point. refilter the liquid if any fibers are visible. finally, wash the precipitate thoroughly with warm water until free from soluble silver salts. to test the washings, disconnect the suction at the flask and remove the funnel or filter tube from the suction flask. hold the end of the tube over the mouth of a small test tube and add from a wash-bottle - cc. of water. allow the water to drip through into the test tube and add a drop of dilute hydrochloric acid. no precipitate or cloud should form in the wash-water (note ). dry the filter and contents at - °c. until the weight is constant within . gram, as described for the preparation of the filter. deduct the weight of the dry crucible from the final weight, and from the weight of silver chloride thus obtained calculate the percentage of chlorine in the sample of sodium chloride. [note : the washed asbestos for this type of filter is prepared by digesting in concentrated hydrochloric acid, long-fibered asbestos which has been cut in pieces of about . cm. in length. after digestion, the asbestos is filtered off on a filter plate and washed with hot, distilled water until free from chlorides. a small portion of the asbestos is shaken with water, forming a thin suspension, which is bottled and kept for use.] [note : the nitric acid is added before precipitation to lessen the tendency of the silver chloride to carry down with it other substances which might be precipitated from a neutral solution. a large excess of the acid would exert a slight solvent action upon the chloride.] [note : the solution should not be boiled after the addition of the nitric acid before the presence of an excess of silver nitrate is assured, since a slight interaction between the nitric acid and the sodium chloride is possible, by which a loss of chlorine, either as such or as hydrochloric acid, might ensue. the presence of an excess of the precipitant can usually be recognized at the time of its addition, by the increased readiness with which the precipitate coagulates and settles.] [note : the precipitate should not be exposed to strong sunlight, since under those conditions a reduction of the silver chloride ensues which is accompanied by a loss of chlorine. the superficial alteration which the chloride undergoes in diffused daylight is not sufficient to materially affect the accuracy of the determination. it should be noted, however, that a slight error does result from the effect of light upon the silver chloride precipitate and in cases in which the greatest obtainable accuracy is required, the procedure described under "method b" should be followed, in which this slight reduction of the silver chloride is corrected by subsequent treatment with nitric and hydrochloric acids.] [note : the asbestos used in the gooch filter should be of the finest quality and capable of division into minute fibrous particles. a coarse felt is not satisfactory.] [note : the precipitate must be washed with warm water until it is absolutely free from silver and sodium nitrates. it may be assumed that the sodium salt is completely removed when the wash-water shows no evidence of silver. it must be borne in mind that silver chloride is somewhat soluble in hydrochloric acid, and only a single drop should be added. the washing should be continued until no cloudiness whatever can be detected in cc. of the washings. silver chloride is but slightly soluble in water. the solubility varies with its physical condition within small limits, and is about . gram per liter at °c. for the curdy variety usually precipitated. the chloride is also somewhat soluble in solutions of many chlorides, in solutions of silver nitrate, and in concentrated nitric acid. as a matter of economy, the filtrate, which contains whatever silver nitrate was added in excess, may be set aside. the silver can be precipitated as chloride and later converted into silver nitrate.] [note : the use of the gooch filter commends itself strongly when a considerable number of halogen determinations are to be made, since successive portions of the silver halides may be filtered on the same filter, without the removal of the preceding portions, until the crucible is about two thirds filled. if the felt is properly prepared, filtration and washing are rapidly accomplished on this filter, and this, combined with the possibility of collecting several precipitates on the same filter, is a strong argument in favor of its use with any but gelatinous precipitates.] !method b. with the use of a paper filter! procedure.--weigh out two portions of sodium chloride of about . - . gram each and proceed with the precipitation of the silver chloride as described under method a above. when the chloride is ready for filtration prepare two cm. washed paper filters (see appendix). pour the liquid above the precipitates through the filters, wash twice by decantation and transfer the precipitates to the filters, finally washing them until free from silver solution as described. the funnel should then be covered with a moistened filter paper by stretching it over the top and edges, to which it will adhere on drying. it should be properly labeled with the student's name and desk number, and then placed in a drying closet, at a temperature of about - °c., until completely dry. the perfectly dry filter is then opened over a circular piece of clean, smooth, glazed paper about six inches in diameter, placed upon a larger piece about twelve inches in diameter. the precipitate is removed from the filter as completely as possible by rubbing the sides gently together, or by scraping them cautiously with a feather which has been cut close to the quill and is slightly stiff (note ). in either case, care must be taken not to rub off any considerable quantity of the paper, nor to lose silver chloride in the form of dust. cover the precipitate on the glazed paper with a watch-glass to prevent loss of fine particles and to protect it from dust from the air. fold the filter paper carefully, roll it into a small cone, and wind loosely around !the top! a piece of small platinum wire (note ). hold the filter by the wire over a small porcelain crucible (which has been cleaned, ignited, cooled in a desiccator, and weighed), ignite it, and allow the ash to fall into the crucible. place the crucible upon a clean clay triangle, on its side, and ignite, with a low flame well at its base, until all the carbon of the filter has been consumed. allow the crucible to cool, add two drops of concentrated nitric acid and one drop of concentrated hydrochloric acid, and heat !very cautiously!, to avoid spattering, until the acids have been expelled; then transfer the main portion of the precipitate from the glazed paper to the cooled crucible, placing the latter on the larger piece of glazed paper and brushing the precipitate from the smaller piece into it, sweeping off all particles belonging to the determination. moisten the precipitate with two drops of concentrated nitric acid and one drop of concentrated hydrochloric acid, and again heat with great caution until the acids are expelled and the precipitate is white, when the temperature is slowly raised until the silver chloride just begins to fuse at the edges (note ). the crucible is then cooled in a desiccator and weighed, after which the heating (without the addition of acids) is repeated, and it is again weighed. this must be continued until the weight is constant within . gram in two consecutive weighings. deduct the weight of the crucible, and calculate the percentage of chlorine in the sample of sodium chloride taken for analysis. [note : the separation of the silver chloride from the filter is essential, since the burning carbon of the paper would reduce a considerable quantity of the precipitate to metallic silver, and its complete reconversion to the chloride within the crucible, by means of acids, would be accompanied by some difficulty. the small amount of silver reduced from the chloride adhering to the filter paper after separating the bulk of the precipitate, and igniting the paper as prescribed, can be dissolved in nitric acid, and completely reconverted to chloride by hydrochloric acid. the subsequent addition of the two acids to the main portion of the precipitate restores the chlorine to any chloride which may have been partially reduced by the sunlight. the excess of the acids is volatilized by heating.] [note : the platinum wire is wrapped around the top of the filter during its incineration to avoid contact with any reduced silver from the reduction of the precipitate. if the wire were placed nearer the apex, such contact could hardly be avoided.] [note : silver chloride should not be heated to complete fusion, since a slight loss by volatilization is possible at high temperatures. the temperature of fusion is not always sufficient to destroy filter shreds; hence these should not be allowed to contaminate the precipitate.] determination of iron and of sulphur in ferrous ammonium sulphate, feso_{ }.(nh_{ })_{ }so_{ }. h_{ }o determination of iron procedure.--weigh out into beakers ( - cc.) two portions of the sample (note ) of about gram each and dissolve these in cc. of water, to which cc. of dilute hydrochloric acid (sp. gr. . ) has been added (note ). heat the solution to boiling, and while at the boiling point add concentrated nitric acid (sp. gr. . ), !drop by drop! (noting the volume used), until the brown coloration, which appears after the addition of a part of the nitric acid, gives place to a yellow or red (note ). avoid a large excess of nitric acid, but be sure that the action is complete. pour this solution cautiously into about cc. of water, containing a slight excess of ammonia. calculate for this purpose the amount of aqueous ammonia required to neutralize the hydrochloric and nitric acids added (see appendix for data), and also to precipitate the iron as ferric hydroxide from the weight of the ferrous ammonium sulphate taken for analysis, assuming it to be pure (note ). the volume thus calculated will be in excess of that actually required for precipitation, since the acids are in part consumed in the oxidation process, or are volatilized. heat the solution to boiling, and allow the precipitated ferric hydroxide to settle. decant the clear liquid through a washed filter ( cm.), keeping as much of the precipitate in the beaker as possible. wash twice by decantation with cc. of hot water. reserve the filtrate. dissolve the iron from the filter with hot, dilute hydrochloric acid (sp. gr. . ), adding it in small portions, using as little as possible and noting the volume used. collect the solution in the beaker in which precipitation took place. add cc. of nitric acid (sp. gr. . ), boil for a few moments, and again pour into a calculated excess of ammonia. wash the precipitate twice by decantation, and finally transfer it to the original filter. wash continuously with hot water until finally cc. of the washings, acidified with nitric acid (note ), show no evidences of the presence of chlorides when tested with silver nitrate. the filtrate and washings are combined with those from the first precipitation and treated for the determination of sulphur, as prescribed on page . [note : if a selection of pure material for analysis is to be made, crystals which are cloudy are to be avoided on account of loss of water of crystallization; and also those which are red, indicating the presence of ferric iron. if, on the other hand, the value of an average sample of material is desired, it is preferable to grind the whole together, mix thoroughly, and take a sample from the mixture for analysis.] [note : when aqueous solutions of ferrous compounds are heated in the air, oxidation of the fe^{++} ions to fe^{+++} ions readily occurs in the absence of free acid. the h^{+} and oh^{-} ions from water are involved in the oxidation process and the result is, in effect, the formation of some ferric hydroxide which tends to separate. moreover, at the boiling temperature, the ferric sulphate produced by the oxidation hydrolyzes in part with the formation of a basic ferric sulphate, which also tends to separate from solution. the addition of the hydrochloric acid prevents the formation of ferric hydroxide, and so far reduces the ionization of the water that the hydrolysis of the ferric sulphate is also prevented, and no precipitation occurs on heating.] [note : the nitric acid, after attaining a moderate strength, oxidizes the fe^{++} ions to fe^{+++} ions with the formation of an intermediate nitroso-compound similar in character to that formed in the "ring-test" for nitrates. the nitric oxide is driven out by heat, and the solution then shows by its color the presence of ferric compounds. a drop of the oxidized solution should be tested on a watch-glass with potassium ferricyanide, to insure a complete oxidation. this oxidation of the iron is necessary, since fe^{++} ions are not completely precipitated by ammonia. the ionic changes which are involved in this oxidation are perhaps most simply expressed by the equation fe^{++} + no_{ }^{-}+ h^{+} --> fe^{+++} + h_{ }o + no, the h^{+} ions coming from the acid in the solution, in this case either the nitric or the hydrochloric acid. the full equation on which this is based may be written thus: feso_{ } + hno_{ } + hcl --> fe_{ }(so_{ })_{ } + fecl_{ } + no + h_{ }o, assuming that only enough nitric acid is added to complete the oxidation.] [note : the ferric hydroxide precipitate tends to carry down some sulphuric acid in the form of basic ferric sulphate. this tendency is lessened if the solution of the iron is added to an excess of oh^{-} ions from the ammonium hydroxide, since under these conditions immediate and complete precipitation of the ferric hydroxide ensues. a gradual neutralization with ammonia would result in the local formation of a neutral solution within the liquid, and subsequent deposition of a basic sulphate as a consequence of a local deficiency of oh^{-} ions from the nh_{ }oh and a partial hydrolysis of the ferric salt. even with this precaution the entire absence of sulphates from the first iron precipitate is not assured. it is, therefore, redissolved and again thrown down by ammonia. the organic matter of the filter paper may occasion a partial reduction of the iron during solution, with consequent possibility of incomplete subsequent precipitation with ammonia. the nitric acid is added to reoxidize this iron. to avoid errors arising from the solvent action of ammoniacal liquids upon glass, the iron precipitate should be filtered without unnecessary delay.] [note : the washings from the ferric hydroxide are acidified with nitric acid, before testing with silver nitrate, to destroy the ammonia which is a solvent of silver chloride. the use of suction to promote filtration and washing is permissible, though not prescribed. the precipitate should not be allowed to dry during the washing.] !ignition of the iron precipitate! heat a platinum or porcelain crucible, cool it in a desiccator and weigh, repeating until a constant weight is obtained. fold the top of the filter paper over the moist precipitate of ferric hydroxide and transfer it cautiously to the crucible. wipe the inside of the funnel with a small fragment of washed filter paper, if necessary, and place the paper in the crucible. incline the crucible on its side, on a triangle supported on a ring-stand, and stand the cover on edge at the mouth of the crucible. place a burner below the front edge of the crucible, using a low flame and protecting it from drafts of air by means of a chimney. the heat from the burner is thus reflected into the crucible and dries the precipitate without danger of loss as the result of a sudden generation of steam within the mass of ferric hydroxide. as the drying progresses the burner may be gradually moved toward the base of the crucible and the flame increased until the paper of the filter begins to char and finally to smoke, as the volatile matter is expelled. this is known as "smoking off" a filter, and the temperature should not be raised sufficiently high during this process to cause the paper to ignite, as the air currents produced by the flame of the blazing paper may carry away particles of the precipitate. when the paper is fully charred, move the burner to the base of the crucible and raise the temperature to the full heat of the burner for fifteen minutes, with the crucible still inclined on its side, but without the cover (note ). finally set the crucible upright in the triangle, cover it, and heat at the full temperature of a blast lamp or other high temperature burner. cool and weigh in the usual manner (note ). repeat the strong heating until the weight is constant within . gram. from the weight of ferric oxide (fe_{ }o_{ }) calculate the percentage of iron (fe) in the sample (note ). [note : these directions for the ignition of the precipitate must be closely followed. a ready access of atmospheric oxygen is of special importance to insure the reoxidation to ferric oxide of any iron which may be reduced to magnetic oxide (fe_{ }o_{ }) during the combustion of the filter. the final heating over the blast lamp is essential for the complete expulsion of the last traces of water from the hydroxide.] [note : ignited ferric oxide is somewhat hygroscopic. on this account the weighings must be promptly completed after removal from the desiccator. in all weighings after the first it is well to place the weights upon the balance-pan before removing the crucible from the desiccator. it is then only necessary to move the rider to obtain the weight.] [note : the gravimetric determination of aluminium or chromium is comparable with that of iron just described, with the additional precaution that the solution must be boiled until it contains but a very slight excess of ammonia, since the hydroxides of aluminium and chromium are more soluble than ferric hydroxide. the most important properties of these hydroxides, from a quantitative standpoint, other than those mentioned, are the following: all are precipitable by the hydroxides of sodium and potassium, but always inclose some of the precipitant, and should be reprecipitated with ammonium hydroxide before ignition to oxides. chromium and aluminium hydroxides dissolve in an excess of the caustic alkalies and form anions, probably of the formula alo_ ^{-} and cro_{ }^{-}. chromium hydroxide is reprecipitated from this solution on boiling. when first precipitated the hydroxides are all readily soluble in acids, but aluminium hydroxide dissolves with considerable difficulty after standing or boiling for some time. the precipitation of the hydroxides is promoted by the presence of ammonium chloride, but is partially or entirely prevented by the presence of tartaric or citric acids, glycerine, sugars, and some other forms of soluble organic matter. the hydroxides yield on ignition an oxide suitable for weighing (al_{ }o_{ }, cr_{ }o_{ }, fe_{ }o_{ }).] determination of sulphur procedure.--add to the combined filtrates from the ferric hydroxide about . gram of anhydrous sodium carbonate; cover the beaker, and then add dilute hydrochloric acid (sp. gr. . ) in moderate excess and evaporate to dryness on the water bath. add cc. of concentrated hydrochloric acid (sp. gr. . ) to the residue, and again evaporate to dryness on the bath. dissolve the residue in water, filter if not clear, transfer to a cc. beaker, dilute to about cc., and cautiously add hydrochloric acid until the solution shows a distinctly acid reaction (note ). heat the solution to boiling, and add !very slowly! and with constant stirring, cc. in excess of the calculated amount of a hot barium chloride solution, containing about grams bacl_{ }. h_{ }o per liter (notes and ). continue the boiling for about two minutes, allow the precipitate to settle, and decant the liquid at the end of half an hour (note ). replace the beaker containing the original filtrate by a clean beaker, wash the precipitated sulphate by decantation with hot water, and subsequently upon the filter until it is freed from chlorides, testing the washings as described in the determination of iron. the filter is then transferred to a platinum or porcelain crucible and ignited, as described above, until the weight is constant (note ). from the weight of barium sulphate (baso_{ }) obtained, calculate the percentage of sulphur (s) in the sample. [note : barium sulphate is slightly soluble in hydrochloric acid, even dilute, probably as a result of the reduction in the degree of dissociation of sulphuric acid in the presence of the h^{+} ions of the hydrochloric acid, and possibly because of the formation of a complex anion made up of barium and chlorine; hence only the smallest excess should be added over the amount required to acidify the solution.] [note : the ionic changes involved in the precipitation of barium sulphate are very simple: ba^{++} + so_{ }^{--} --> [baso_{ }] this case affords one of the best illustrations of the effect of an excess of a precipitant in decreasing the solubility of a precipitate. if the conditions are considered which exist at the moment when just enough of the ba^{++} ions have been added to correspond to the so_{ }^{--} ions in the solution, it will be seen that nearly all of the barium sulphate has been precipitated, and that the small amount which then remains in the solution which is in contact with the precipitate must represent a saturated solution for the existing temperature, and that this solution is comparable with a solution of sugar to which more sugar has been added than will dissolve. it should be borne in mind that the quantity of barium sulphate in this !saturated solution is a constant quantity! for the existing conditions. the dissolved barium sulphate, like any electrolyte, is dissociated, and the equilibrium conditions may be expressed thus: (!conc'n ba^{++} x conc'n so_{ }^{--})/(conc'n baso_{ }) = const.!, and since !conc'n baso_{ }! for the saturated solution has a constant value (which is very small), it may be eliminated, when the expression becomes !conc'n ba^{++} x conc'n so_{ }^{--} = const.!, which is the "solubility product" of baso_{ }. if, now, an excess of the precipitant, a soluble barium salt, is added in the form of a relatively concentrated solution (the slight change of volume of a few cubic centimeters may be disregarded for the present discussion) the concentration of the ba^{++} ions is much increased, and as a consequence the !conc'n so_{ }! must decrease in proportion if the value of the expression is to remain constant, which is a requisite condition if the law of mass action upon which our argument depends holds true. in other words, so_{ }^{--} ions must combine with some of the added ba^{++} ions to form [baso_{ }]; but it will be recalled that the solution is already saturated with baso_{ }, and this freshly formed quantity must, therefore, separate and add itself to the precipitate. this is exactly what is desired in order to insure more complete precipitation and greater accuracy, and leads to the conclusion that the larger the excess of the precipitant added the more successful the analysis; but a practical limit is placed upon the quantity of the precipitant which may be properly added by other conditions, as stated in the following note.] [note : barium sulphate, in a larger measure than most compounds, tends to carry down other substances which are present in the solution from which it separates, even when these other substances are relatively soluble, and including the barium chloride used as the precipitant. this is also notably true in the case of nitrates and chlorates of the alkalies, and of ferric compounds; and, since in this analysis ammonium nitrate has resulted from the neutralization of the excess of the nitric acid added to oxidize the iron, it is essential that this should be destroyed by repeated evaporation with a relatively large quantity of hydrochloric acid. during evaporation a mutual decomposition of the two acids takes place, and the nitric acid is finally decomposed and expelled by the excess of hydrochloric acid. iron is usually found in the precipitate of barium sulphate when thrown down from hot solutions in the presence of ferric salts. this, according to kuster and thiel (!zeit. anorg. chem.!, , ), is due to the formation of a complex ion (fe(so_{ })_{ }) which precipitates with the ba^{++} ion, while richards (!zeit. anorg. chem.!, , ) ascribes it to hydrolytic action, which causes the formation of a basic ferric complex which is occluded in the barium precipitate. whatever the character of the compound may be, it has been shown that it loses sulphuric anhydride upon ignition, causing low results, even though the precipitate contains iron. the contamination of the barium sulphate by iron is much less in the presence of ferrous than ferric salts. if, therefore, the sulphur alone were to be determined in the ferrous ammonium sulphate, the precipitation by barium might be made directly from an aqueous solution of the salt, which had been made slightly acid with hydrochloric acid.] [note : the precipitation of the barium sulphate is probably complete at the end of a half-hour, and the solution may safely be filtered at the expiration of that time if it is desired to hasten the analysis. as already noted, many precipitates of the general character of this sulphate tend to grow more coarsely granular if digested for some time with the liquid from which they have separated. it is therefore well to allow the precipitate to stand in a warm place for several hours, if practicable, to promote ease of filtration. the filtrate and washings should always be carefully examined for minute quantities of the sulphate which may pass through the pores of the filter. this is best accomplished by imparting to the filtrate a gentle rotary motion, when the sulphate, if present, will collect at the center of the bottom of the beaker.] [note : a reduction of barium sulphate to the sulphide may very readily be caused by the reducing action of the burning carbon of the filter, and much care should be taken to prevent any considerable reduction from this cause. subsequent ignition, with ready access of air, reconverts the sulphide to sulphate unless a considerable reduction has occurred. in the latter case it is expedient to add one or two drops of sulphuric acid and to heat cautiously until the excess of acid is expelled.] [note : barium sulphate requires about , parts of water for its solution. it is not decomposed at a red heat but suffers loss, probably of sulphur trioxide, at a temperature above °c.] determination of sulphur in barium sulphate procedure.--weigh out, into platinum crucibles, two portions of about . gram of the sulphate. mix each in the crucible with five to six times its weight of anhydrous sodium carbonate. this can best be done by placing the crucible on a piece of glazed paper and stirring the mixture with a clean, dry stirring-rod, which may finally be wiped off with a small fragment of filter paper, the latter being placed in the crucible. cover the crucible and heat until a quiet, liquid fusion ensues. remove the burner, and tip the crucible until the fused mass flows nearly to its mouth. hold it in that position until the mass has solidified. when cold, the material may usually be detached in a lump by tapping the crucible or gently pressing it near its upper edge. if it still adheres, a cubic centimeter or so of water may be placed in the cold crucible and cautiously brought to boiling, when the cake will become loosened and may be removed and placed in about cc. of hot, distilled water to dissolve. clean the crucible completely, rubbing the sides with a rubber-covered stirring-rod, if need be. when the fused mass has completely disintegrated and nothing further will dissolve, decant the solution from the residue of barium carbonate (note ). pour over the residue cc. of a solution of sodium carbonate and cc. of water and heat to gentle boiling for about three minutes (note ). filter off the carbonate and wash it with hot water, testing the slightly acidified washings for sulphate and preserving any precipitates which appear in these tests. acidify the filtrate with hydrochloric acid until just acid, bring to boiling, and slowly add hot barium chloride solution, as in the preceding determination. add also any tests from the washings in which precipitates have appeared. filter, wash, ignite, and weigh. from the weight of barium sulphate, calculate the percentage of sulphur (s) in the sample. [note : this alkaline fusion is much employed to disintegrate substances ordinarily insoluble in acids into two components, one of which is water soluble and the other acid soluble. the reaction involved is: baso_{ } + na_{ }co_{ }, --> baco_{ }, + na_{ }so_{ }. as the sodium sulphate is soluble in water, and the barium carbonate insoluble, a separation between them is possible and the sulphur can be determined in the water-soluble portion. it should be noted that this method can be applied to the purification of a precipitate of barium sulphate if contaminated by most of the substances mentioned in note on page . the impurities pass into the water solution together with the sodium sulphate, but, being present in such minute amounts, do not again precipitate with the barium sulphate.] [note : the barium carbonate is boiled with sodium carbonate solution before filtration because the reaction above is reversible; and it is only by keeping the sodium carbonate present in excess until nearly all of the sodium sulphate solution has been removed by filtration that the reversion of some of the barium carbonate to barium sulphate is prevented. this is an application of the principle of mass action, in which the concentration of the reagent (the carbonate ion) is kept as high as practicable and that of the sulphate ion as low as possible, in order to force the reaction in the desired direction (see appendix).] determination of phosphoric anhydride in apatite the mineral apatite is composed of calcium phosphate, associated with calcium chloride, or fluoride. specimens are easily obtainable which are nearly pure and leave on treatment with acid only a slight siliceous residue. for the purpose of gravimetric determination, phosphoric acid is usually precipitated from ammoniacal solutions in the form of magnesium ammonium phosphate which, on ignition, is converted into magnesium pyrophosphate. since the calcium phosphate of the apatite is also insoluble in ammoniacal solutions, this procedure cannot be applied directly. the separation of the phosphoric acid from the calcium must first be accomplished by precipitation in the form of ammonium phosphomolybdate in nitric acid solution, using ammonium molybdate as the precipitant. the "yellow precipitate," as it is often called, is not always of a definite composition, and therefore not suitable for direct weighing, but may be dissolved in ammonia, and the phosphoric acid thrown out as magnesium ammonium phosphate from the solution. of the substances likely to occur in apatite, silicic acid alone interferes with the precipitation of the phosphoric acid in nitric acid solution. precipitation of ammonium phosphomolybdate procedure.--grind the mineral in an agate mortar until no grit is perceptible. transfer the substance to a weighing-tube, and weigh out two portions, not exceeding . gram each (note ) into two beakers of about cc. capacity. pour over them cc. of dilute nitric acid (sp. gr. . ) and warm gently until solvent action has apparently ceased. evaporate the solution cautiously to dryness, heat the residue for about an hour at - °c., and treat it again with nitric acid as described above; separate the residue of silica by filtration on a small filter ( cm.) and wash with warm water, using as little as possible (note ). receive the filtrate in a beaker ( - cc.). test the washings with ammonia for calcium phosphate, but add all such tests in which a precipitate appears to the original nitrate (note ). the filtrate and washings must be kept as small as possible and should not exceed cc. in volume. add aqueous ammonia (sp. gr. . ) until the precipitate of calcium phosphate first produced just fails to redissolve, and then add a few drops of nitric acid until this is again brought into solution (note ). warm the solution until it cannot be comfortably held in the hand (about °c.) and, after removal of the burner, add cc. of ammonium molybdate solution which has been !gently! warmed, but which must be perfectly clear. allow the mixture to stand at a temperature of about or °c. for twelve hours (notes and ). filter off the yellow precipitate on a cm. filter, and wash by decantation with a solution of ammonium nitrate made acid with nitric acid.[ ] allow the precipitate to remain in the beaker as far as possible. test the washings for calcium with ammonia and ammonium oxalate (note ). [footnote : this solution is prepared as follows: mix cc. of ammonia solution (sp. gr. . ) with cc. of nitric acid (sp. gr. . ) and dilute with cc. of water.] add cc. of molybdate solution to the nitrate, and leave it for a few hours. it should then be carefully examined for a !yellow! precipitate; a white precipitate may be neglected. [note : magnesium ammonium phosphate, as noted below, is slightly soluble under the conditions of operation. consequently the unavoidable errors of analysis are greater in this determination than in those which have preceded it, and some divergence may be expected in duplicate analyses. it is obvious that the larger the amount of substance taken for analysis the less will be the relative loss or gain due to unavoidable experimental errors; but, in this instance, a check is placed upon the amount of material which may be taken both by the bulk of the resulting precipitate of ammonium phosphomolybdate and by the excessive amount of ammonium molybdate required to effect complete separation of the phosphoric acid, since a liberal excess above the theoretical quantity is demanded. molybdic acid is one of the more expensive reagents.] [note : soluble silicic acid would, if present, partially separate with the phosphomolybdate, although not in combination with molybdenum. its previous removal by dehydration is therefore necessary.] [note : when washing the siliceous residue the filtrate may be tested for calcium by adding ammonia, since that reagent neutralizes the acid which holds the calcium phosphate in solution and causes precipitation; but after the removal of the phosphoric acid in combination with the molybdenum, the addition of an oxalate is required to show the presence of calcium.] [note : an excess of nitric acid exerts a slight solvent action, while ammonium nitrate lessens the solubility; hence the neutralization of the former by ammonia.] [note : the precipitation of the phosphomolybdate takes place more promptly in warm than in cold solutions, but the temperature should not exceed °c. during precipitation; a higher temperature tends to separate molybdic acid from the solution. this acid is nearly white, and its deposition in the filtrate on long standing should not be mistaken for a second precipitation of the yellow precipitate. the addition of cc. of ammonium molybdate solution insures the presence of a liberal excess of the reagent, but the filtrate should be tested as in all quantitative procedures. the precipitation is probably complete in many cases in less than twelve hours; but it is better, when practicable, to allow the solution to stand for this length of time. vigorous shaking or stirring promotes the separation of the precipitate.] [note : the composition of the "yellow precipitate" undoubtedly varies slightly with varying conditions at the time of its formation. its composition may probably fairly be represented by the formula, (nh_{ })_{ }po_{ }. moo_{ }.h_{ }o, when precipitated under the conditions prescribed in the procedure. whatever other variations may occur in its composition, the ratio of moo_{ }: p seems to hold, and this fact is utilized in volumetric processes for the determination of phosphorus, in which the molybdenum is reduced to a lower oxide and reoxidized by a standard solution of potassium permanganate. in principle, the procedure is comparable with that described for the determination of iron by permanganate.] precipitation of magnesium ammonium phosphate procedure.--dissolve the precipitate of phosphomolybdate upon the filter by pouring through it dilute aqueous ammonia (one volume of dilute ammonia (sp. gr. . ) and three volumes of water, which should be carefully measured), and receive the solution in the beaker containing the bulk of the precipitate. the total volume of nitrate and washings should not much exceed cc. acidify the solution with dilute hydrochloric acid, and heat it nearly to boiling. calculate the volume of magnesium ammonium chloride solution ("magnesia mixture") required to precipitate the phosphoric acid, assuming per cent p_{ }o_{ } in the apatite. measure out about cc. in excess of this amount, and pour it into the acid solution. then add slowly dilute ammonium hydroxide ( volume of strong ammonia (sp. gr. . ) and volumes of water), stirring constantly until a precipitate forms. then add a volume of filtered, concentrated ammonia (sp. gr. . ) equal to one third of the volume of liquid in the beaker (note ). allow the whole to cool. the precipitated magnesium ammonium phosphate should then be definitely crystalline in appearance (note ). (if it is desired to hasten the precipitation, the solution may be cooled, first in cold and then in ice-water, and stirred !constantly! for half an hour, when precipitation will usually be complete.) decant the clear liquid through a filter, and transfer the precipitate to the filter, using as wash-water a mixture of one volume of concentrated ammonia and three volumes of water. it is not necessary to clean the beaker completely or to wash the precipitate thoroughly at this point, as it is necessary to purify it by reprecipitation. [note : magnesium ammonium phosphate is not a wholly insoluble substance, even under the most favorable analytical conditions. it is least soluble in a liquid containing one fourth of its volume of concentrated aqueous ammonia (sp. gr. . ) and this proportion should be carefully maintained as prescribed in the procedure. on account of this slight solubility the volume of solutions should be kept as small as possible and the amount of wash-water limited to that absolutely required. a large excess of the magnesium solution tends both to throw out magnesium hydroxide (shown by a persistently flocculent precipitate) and to cause the phosphate to carry down molybdic acid. the tendency of the magnesium precipitate to carry down molybdic acid is also increased if the solution is too concentrated. the volume should not be less than cc., nor more than cc., at the time of the first precipitation with the magnesia mixture.] [note : the magnesium ammonium phosphate should be perfectly crystalline, and will be so if the directions are followed. the slow addition of the reagent is essential, and the stirring not less so. stirring promotes the separation of the precipitate and the formation of larger crystals, and may therefore be substituted for digestion in the cold. the stirring-rod must not be allowed to scratch the glass, as the crystals adhere to such scratches and are removed with difficulty.] reprecipitation and ignition of magnesium ammonium phosphate a single precipitation of the magnesium compound in the presence of molybdenum compounds rarely yields a pure product. the molybdenum can be removed by solution of the precipitate in acid and precipitation of the molybdenum by sulphureted hydrogen, after which the magnesium precipitate may be again thrown down. it is usually more satisfactory to dissolve the magnesium precipitate and reprecipitate the phosphate as magnesium ammonium phosphate as described below. procedure.--dissolve the precipitate from the filter in a little dilute hydrochloric acid (sp. gr. . ), allowing the acid solution to run into the beaker in which the original precipitation was made (note ). wash the filter with water until the wash-water shows no test for chlorides, but avoid an unnecessary amount of wash-water. add to the solution cc. (not more) of magnesia mixture, and then dilute ammonium hydroxide solution (sp. gr. . ), drop by drop, with constant stirring, until the liquid smells distinctly of ammonia. stir for a few moments and then add a volume of strong ammonia (sp. gr. . ), equal to one third of the volume of the solution. allow the solution to stand for some hours, and then filter off the magnesium ammonium phosphate, which should be distinctly crystalline in character. wash the precipitate with dilute ammonia water, as prescribed above, until, finally, cc. of the washings, after acidifying with nitric acid, show no evidence of chlorides. test both filtrates for complete precipitation by adding a few cubic centimeters of magnesia mixture and allowing them to stand for some time. transfer the moist precipitate to a weighed porcelain or platinum crucible and ignite, using great care to raise the temperature slowly while drying the filter in the crucible, and to insure the ready access of oxygen during the combustion of the filter paper, thus guarding against a possible reduction of the phosphate, which would result in disastrous consequences both to the crucible, if of platinum, and the analysis. do not raise the temperature above moderate redness until the precipitate is white. (keep this precaution well in mind.) ignite finally at the highest temperature of the tirrill burner, and repeat the heating until the weight is constant. if the ignited precipitate is persistently discolored by particles of unburned carbon, moisten the mass with a drop or two of concentrated nitric acid and heat cautiously, finally igniting strongly. the acid will dissolve magnesium pyrophosphate from the surface of the particles of carbon, which will then burn away. nitric acid also aids as an oxidizing agent in supplying oxygen for the combustion of the carbon. from the weight of magnesium pyrophosphate (mg_{ }p_{ }o_{ }) obtained, calculate the phosphoric anhydride (p_{ }o_{ }) in the sample of apatite. [note : the ionic change involved in the precipitation of the magnesium compound is po_{ }^{---} + nh_{ }^{+} + mg^{++} --> [mgnh_{ }po_{ }]. the magnesium ammonium phosphate is readily dissolved by acids, even those which are no stronger than acetic acid. this is accounted for by the fact that two of the ions into which phosphoric acid may dissociate, the hpo_{ }^{--} or h_{ }po_{ }^{-} ions, exhibit the characteristics of very weak acids, in that they show almost no tendency to dissociate further into h^{+} and po_{ }^{--} ions. consequently the ionic changes which occur when the magnesium ammonium phosphate is brought into contact with an acid may be typified by the reaction: h^{+} + mg^{++} + nh_{ }^{+} + po_{ }^{---} --> mg^{++} + nh_{ }^{+} + hpo_{ }^{--}; that is, the po_{ }^{--} ions and the h^{+} ions lose their identity in the formation of the new ion, hpo_{ }^{--}, and this continues until the magnesium ammonium phosphate is entirely dissolved.] [note : during ignition the magnesium ammonium phosphate loses ammonia and water and is converted into magnesium pyrophosphate: mgnh_{ }po_{ } --> mg_{ }p_{ }o_{ } + nh_{ } + h_{ }o. the precautions mentioned on pages and must be observed with great care during the ignition of this precipitate. the danger here lies in a possible reduction of the phosphate by the carbon of the filter paper, or by the ammonia evolved, which may act as a reducing agent. the phosphorus then attacks and injures a platinum crucible, and the determination is valueless.] analysis of limestone limestones vary widely in composition from a nearly pure marble through the dolomitic limestones, containing varying amounts of magnesium, to the impure varieties, which contain also ferrous and manganous carbonates and siliceous compounds in variable proportions. many other minerals may be inclosed in limestones in small quantities, and an exact qualitative analysis will often show the presence of sulphides or sulphates, phosphates, and titanates, and the alkali or even the heavy metals. no attempt is made in the following procedures to provide a complete quantitative scheme which would take into account all of these constituents. such a scheme for a complete analysis of a limestone may be found in bulletin no. of the united states geological survey. it is assumed that, for these practice determinations, a limestone is selected which contains only the more common constituents first enumerated above. determination of moisture the determination of the amount of moisture in minerals or ores is often of great importance. ores which have been exposed to the weather during shipment may have absorbed enough moisture to appreciably affect the results of analysis. since it is essential that the seller and buyer should make their analyses upon comparable material, it is customary for each analyst to determine the moisture in the sample examined, and then to calculate the percentages of the various constituents with reference to a sample dried in the air, or at a temperature a little above °c., which, unless the ore has undergone chemical change because of the wetting, should be the same before and after shipment. procedure.--spread grams of the powdered sample on a weighed watch-glass; weigh to the nearest milligrams only and heat at °c.; weigh at intervals of an hour, after cooling in a desiccator, until the loss of weight after an hour's heating does not exceed milligrams. it should be noted that a variation in weight of milligrams in a total weight of grams is no greater relatively than a variation of . milligram when the sample taken weighs . gram determination of the insoluble matter and silica procedure.--weigh out two portions of the original powdered sample (not the dried sample), of about grams each, into cc. casseroles, and cover each with a watch-glass (note ). pour over the powder cc. of water, and then add cc. of dilute hydrochloric acid (sp. gr. . ) in small portions, warming gently, until nothing further appears to dissolve (note ). evaporate to dryness on the water bath. pour over the residue a mixture of cc. of water and cc. of concentrated hydrochloric acid (sp. gr. . ) and again evaporate to dryness, and finally heat for at least an hour at a temperature of °c. pour over this residue cc. of dilute hydrochloric acid (one volume acid (sp. gr. . ) to five volumes water), and boil for about five minutes; then filter and wash twice with the dilute hydrochloric acid, and then with hot water until free from chlorides. transfer the filter and contents to a porcelain crucible, dry carefully over a low flame, and ignite to constant weight. the residue represents the insoluble matter and the silica from any soluble silicates (note ). calculate the combined percentage of these in the limestone. [note : the relatively large weight ( grams) taken for analysis insures greater accuracy in the determination of the ingredients which are present in small proportions, and is also more likely to be a representative sample of the material analyzed.] [note : it is plain that the amount of the insoluble residue and also its character will often depend upon the strength of acid used for solution of the limestone. it cannot, therefore, be regarded as representing any well-defined constituent, and its determination is essentially empirical.] [note : it is probable that some of the silicates present are wholly or partly decomposed by the acid, and the soluble silicic acid must be converted by evaporation to dryness, and heating, into white, insoluble silica. this change is not complete after one evaporation. the heating at a temperature somewhat higher than that of the water bath for a short time tends to leave the silica in the form of a powder, which promotes subsequent filtration. the siliceous residue is washed first with dilute acid to prevent hydrolytic changes, which would result in the formation of appreciable quantities of insoluble basic iron or aluminium salts on the filter when washing with hot water. if it is desired to determine the percentage of silica separately, the ignited residue should be mixed in a platinum crucible with about six times its weight of anhydrous sodium carbonate, and the procedure given on page should be followed. the filtrate from the silica is then added to the main filtrate from the insoluble residue.] determination of ferric oxide and aluminium oxide (with manganese) procedure.--to the filtrate from the insoluble residue add ammonium hydroxide until the solution just smells distinctly of ammonia, but do not add an excess. then add cc. of saturated bromine water (note ), and boil for five minutes. if the smell of ammonia has disappeared, again add ammonium hydroxide in slight excess, and cc. of bromine water, and heat again for a few minutes. finally add cc. of ammonium chloride solution and keep the solution warm until it barely smells of ammonia; then filter promptly (note ). wash the filter twice with hot water, then (after replacing the receiving beaker) pour through it cc. of hot, dilute hydrochloric acid (one volume dilute hcl [sp. gr. . ] to five volumes water). a brown residue insoluble in the acid may be allowed to remain on the filter. wash the filter five times with hot water, add to the filtrate ammonium hydroxide and bromine water as described above, and repeat the precipitation. collect the precipitate on the filter already used, wash it free from chlorides with hot water, and ignite and weigh as described for ferric hydroxide on page . the residue after ignition consists of ferric oxide, alumina, and mangano-manganic oxide (mn_{ }o_{ }), if manganese is present. these are commonly determined together (note ). calculate the percentage of the combined oxides in the limestone. [note : the addition of bromine water to the ammoniacal solutions serves to oxidize any ferrous hydroxide to ferric hydroxide and to precipitate manganese as mno(oh)_{ }. the solution must contain not more than a bare excess of hydroxyl ions (ammonium hydroxide) when it is filtered, on account of the tendency of the aluminium hydroxide to redissolve. the solution should not be strongly ammoniacal when the bromine is added, as strong ammonia reacts with the bromine, with the evolution of nitrogen.] [note : the precipitate produced by ammonium hydroxide and bromine should be filtered off promptly, since the alkaline solution absorbs carbon dioxide from the air, with consequent partial precipitation of the calcium as carbonate. this is possible even under the most favorable conditions, and for this reason the iron precipitate is redissolved and again precipitated to free it from calcium. when the precipitate is small, this reprecipitation may be omitted.] [note : in the absence of significant amounts of manganese the iron and aluminium may be separately determined by fusion of the mixed ignited precipitate, after weighing, with about ten times its weight of acid potassium sulphate, solution of the cold fused mass in water, and volumetric determination of the iron, as described on page . the aluminium is then determined by difference, after subtracting the weight of ferric oxide corresponding to the amount of iron found. if a separate determination of the iron, aluminium, and manganese is desired, the mixed precipitate may be dissolved in acid before ignition, and the separation effected by special methods (see, for example, fay, !quantitative analyses!, first edition, pp. - and - ).] determination of calcium procedure.--to the combined filtrates from the double precipitation of the hydroxides just described, add cc. of dilute ammonium hydroxide (sp. gr. . ), and transfer the liquid to a cc. graduated flask, washing out the beaker carefully. cool to laboratory temperature, and fill the flask with distilled water until the lowest point of the meniscus is exactly level with the mark on the neck of the flask. carefully remove any drops of water which are on the inside of the neck of the flask above the graduation by means of a strip of filter paper, make the solution uniform by pouring it out into a dry beaker and back into the flask several times. measure off one fifth of this solution as follows (note ): pour into a cc. graduated flask about cc. of the solution, shake the liquid thoroughly over the inner surface of the small flask, and pour it out. repeat the same operation. fill the cc. flask until the lowest point of the meniscus is exactly level with the mark on its neck, remove any drops of solution from the upper part of the neck with filter paper, and pour the solution into a beaker ( - cc.). wash out the flask with small quantities of water until it is clean, adding these to the cc. of solution. when the duplicate portion of cc. is measured out from the solution, remember that the flask must be rinsed out twice with that solution, as prescribed above, before the measurement is made. (a cc. pipette may be used to measure out the aliquot portions, if preferred.) dilute each of the measured portions to cc. with distilled water, heat the whole to boiling, and add ammonium oxalate solution slowly in moderate excess, stirring well. boil for two minutes; allow the precipitated calcium oxalate to settle for a half-hour, and decant through a filter. test the filtrate for complete precipitation by adding a few cubic centimeters of the precipitant, allowing it to stand for fifteen minutes. if no precipitate forms, make the solution slightly acid with hydrochloric acid (note ); see that it is properly labeled and reserve it to be combined with the filtrate from the second calcium oxalate precipitation (notes and ). redissolve the calcium oxalate in the beaker with warm hydrochloric acid, pouring the acid through the filter. wash the filter five times with water, and finally pour through it aqueous ammonia. dilute the solution to cc., bring to boiling, and add cc. ammonium oxalate solution (note ) and ammonia in slight excess; boil for two minutes, and set aside for a half-hour. filter off the calcium oxalate upon the filter first used, and wash free from chlorides. the filtrate should be made barely acid with hydrochloric acid and combined with the filtrate from the first precipitation. begin at once the evaporation of the solutions for the determination of magnesium as described below. the precipitate of calcium oxalate may be converted into calcium oxide by ignition without previous drying. after burning the filter, it may be ignited for three quarters of an hour in a platinum crucible at the highest heat of the bunsen or tirrill burner, and finally for ten minutes at the blast lamp (note ). repeat the heating over the blast lamp until the weight is constant. as the calcium oxide absorbs moisture from the air, it must (after cooling) be weighed as rapidly as possible. the precipitate may, if preferred, be placed in a weighted porcelain crucible. after burning off the filter and heating for ten minutes the calcium precipitate may be converted into calcium sulphate by placing cc. of dilute sulphuric acid in the crucible (cold), heating the covered crucible very cautiously over a low flame to drive off the excess of acid, and finally at redness to constant weight (note ). from the weight of the oxide or sulphate, calculate the percentage of the calcium (ca) in the limestone, remembering that only one fifth of the total solution is used for this determination. [note : if the calcium were precipitated from the entire solution, the quantity of the precipitate would be greater than could be properly treated. the solution is, therefore, diluted to a definite volume ( cc.), and exactly one fifth ( cc.) is measured off in a graduated flask or by means of a pipette.] [note : the filtrate from the calcium oxalate should be made slightly acid immediately after filtration, in order to avoid the solvent action of the alkaline liquid upon the glass.] [note : the accurate quantitative separation of calcium and magnesium as oxalates requires considerable care. the calcium precipitate usually carries down with it some magnesium, and this can best be removed by redissolving the precipitate after filtration, and reprecipitation in the presence of only the small amount of magnesium which was included in the first precipitate. when, however, the proportion of magnesium is not very large, the second precipitation of the calcium can usually be avoided by precipitating it from a rather dilute solution ( cc. or so) and in the presence of a considerable excess of the precipitant, that is, rather more than enough to convert both the magnesium and calcium into oxalates.] [note : the ionic changes involved in the precipitation of calcium as oxalate are exceedingly simple, and the principles discussed in connection with the barium sulphate precipitation on page also apply here. the reaction is c_{ }o_{ }^{--} + ca^{++} --> [cac_{ }o_{ }]. calcium oxalate is nearly insoluble in water, and only very slightly soluble in acetic acid, but is readily dissolved by the strong mineral acids. this behavior with acids is explained by the fact that oxalic acid is a stronger acid than acetic acid; when, therefore, the oxalate is brought into contact with the latter there is almost no tendency to diminish the concentration of c_{ }o_{ }^{--} ions by the formation of an acid less dissociated than the acetic acid itself, and practically no solvent action ensues. when a strong mineral acid is present, however, the ionization of the oxalic acid is much reduced by the high concentration of the h^{+} ions from the strong acid, the formation of the undissociated acid lessens the concentration of the c_{ }o_{ }^{--} ions in solution, more of the oxalate passes into solution to re-establish equilibrium, and this process repeats itself until all is dissolved. the oxalate is immediately reprecipitated from such a solution on the addition of oh^{-} ions, which, by uniting with the h^{+} ions of the acids (both the mineral acid and the oxalic acid) to form water, leave the ca^{++} and c_{ }o_{ }^{--} ions in the solution to recombine to form [cac_{ }o_{ }], which is precipitated in the absence of the h^{+} ions. it is well at this point to add a small excess of c_{ }o_{ }^{--} ions in the form of ammonium oxalate to decrease the solubility of the precipitate. the oxalate precipitate consists mainly of cac_{ }o_{ }.h_{ }o when thrown down.] [note : the small quantity of ammonium oxalate solution is added before the second precipitation of the calcium oxalate to insure the presence of a slight excess of the reagent, which promotes the separation of the calcium compound.] [note : on ignition the calcium oxalate loses carbon dioxide and carbon monoxide, leaving calcium oxide: cac_{ }o_{ }.h_{ }o --> cao + co_{ } + co + h_{ }o. for small weights of the oxalate ( . gram or less) this reaction may be brought about in a platinum crucible at the highest temperature of a tirrill burner, but it is well to ignite larger quantities than this over the blast lamp until the weight is constant.] [note : the heat required to burn the filter, and that subsequently applied as described, will convert most of the calcium oxalate to calcium carbonate, which is changed to sulphate by the sulphuric acid. the reactions involved are cac_{ }o_{ } --> caco_{ } + co, caco_{ } + h_{ }so_{ } --> caso_{ } + h_{ }o + co_{ }. if a porcelain crucible is employed for ignition, this conversion to sulphate is to be preferred, as a complete conversion to oxide is difficult to accomplish.] [note : the determination of the calcium may be completed volumetrically by washing the calcium oxalate precipitate from the filter into dilute sulphuric acid, warming, and titrating the liberated oxalic acid with a standard solution of potassium permanganate as described on page . when a considerable number of analyses are to be made, this procedure will save much of the time otherwise required for ignition and weighing.] determination of magnesium procedure.--evaporate the acidified filtrates from the calcium precipitates until the salts begin to crystallize, but do !not! evaporate to dryness (note ). dilute the solution cautiously until the salts are brought into solution, adding a little acid if the solution has evaporated to very small volume. the solution should be carefully examined at this point and must be filtered if a precipitate has appeared. heat the clear solution to boiling; remove the burner and add cc. of a solution of disodium phosphate. then add slowly dilute ammonia ( volume strong ammonia (sp. gr. . ) and volumes water) as long as a precipitate continues to form. finally, add a volume of concentrated ammonia (sp. gr. . ) equal to one third of the volume of the solution, and allow the whole to stand for about twelve hours. decant the solution through a filter, wash it with dilute ammonia water, proceeding as prescribed for the determination of phosphoric anhydride on page , including; the reprecipitation (note ), except that cc. of disodium phosphate solution are added before the reprecipitation of the magnesium ammonium phosphate instead of the magnesia mixture there prescribed. from the weight of the pyrophosphate, calculate the percentage of magnesium oxide (mgo) in the sample of limestone. remember that the pyrophosphate finally obtained is from one fifth of the original sample. [note : the precipitation of the magnesium should be made in as small volume as possible, and the ratio of ammonia to the total volume of solution should be carefully provided for, on account of the relative solubility of the magnesium ammonium phosphate. this matter has been fully discussed in connection with the phosphoric anhydride determination.] [note : the first magnesium ammonium phosphate precipitate is rarely wholly crystalline, as it should be, and is not always of the proper composition when precipitated in the presence of such large amounts of ammonium salts. the difficulty can best be remedied by filtering the precipitate and (without washing it) redissolving in a small quantity of hydrochloric acid, from which it may be again thrown down by ammonia after adding a little disodium phosphate solution. if the flocculent character was occasioned by the presence of magnesium hydroxide, the second precipitation, in a smaller volume containing fewer salts, will often result more favorably. the removal of iron or alumina from a contaminated precipitate is a matter involving a long procedure, and a redetermination of the magnesium from a new sample, with additional precautions, is usually to be preferred.] determination of carbon dioxide !absorption apparatus! [illustration: fig. ] the apparatus required for the determination of the carbon dioxide should be arranged as shown in the cut (fig. ). the flask (a) is an ordinary wash bottle, which should be nearly filled with dilute hydrochloric acid ( cc. acid (sp. gr. . ) and cc. of water). the flask is connected by rubber tubing (a) with the glass tube (b) leading nearly to the bottom of the evolution flask (b) and having its lower end bent upward and drawn out to small bore, so that the carbon dioxide evolved from the limestone cannot bubble back into (b). the evolution flask should preferably be a wide-mouthed soxhlet extraction flask of about cc. capacity because of the ease with which tubes and stoppers may be fitted into the neck of a flask of this type. the flask should be fitted with a two-hole rubber stopper. the condenser (c) may consist of a tube with two or three large bulbs blown in it, for use as an air-cooled condenser, or it may be a small water-jacketed condenser. the latter is to be preferred if a number of determinations are to be made in succession. a glass delivery tube (c) leads from the condenser to the small u-tube (d) containing some glass beads or small pieces of glass rod and cc. of a saturated solution of silver sulphate, with cc. of concentrated sulphuric acid (sp. gr. . ). the short rubber tubing (d) connects the first u-tube to a second u-tube (e) which is filled with small dust-free lumps of dry calcium chloride, with a small, loose plug of cotton at the top of each arm. both tubes should be closed by cork stoppers, the tops of which are cut off level with, or preferably forced a little below, the top of the u-tube, and then neatly sealed with sealing wax. the carbon dioxide may be absorbed in a tube containing soda lime (f) or in a geissler bulb (f') containing a concentrated solution of potassium hydroxide (note ). the tube (f) is a glass-stoppered side-arm u-tube in which the side toward the evolution flask and one half of the other side are filled with small, dust-free lumps of soda lime of good quality (note ). since soda lime contains considerable moisture, the other half of the right side of the tube is filled with small lumps of dry, dust-free calcium chloride to retain the moisture from the soda lime. loose plugs of cotton are placed at the top of each arm and between the soda lime and the calcium chloride. the geissler bulb (f'), if used, should be filled with potassium hydroxide solution ( part of solid potassium hydroxide dissolved in two parts of water) until each small bulb is about two thirds full (note ). a small tube containing calcium chloride is connected with the geissler bulb proper by a ground joint and should be wired to the bulb for safety. this is designed to retain any moisture from the hydroxide solution. a piece of clean, fine copper wire is so attached to the bulb that it can be hung from the hook above a balance pan, or other support. the small bottle (g) with concentrated sulphuric acid (sp. gr. . ) is so arranged that the tube (f) barely dips below the surface. this will prevent the absorption of water vapor by (f) or (f') and serves as an aid in regulating the flow of air through the apparatus. (h) is an aspirator bottle of about four liters capacity, filled with water; (k) is a safety tube and a means of refilling (h); (h) is a screw clamp, and (k) a u-tube filled with soda lime. [note : the air current, which is subsequently drawn through the apparatus, to sweep all of the carbon dioxide into the absorption apparatus, is likely to carry with it some hydrochloric acid from the evolution flask. this acid is retained by the silver sulphate solution. the addition of concentrated sulphuric acid to this solution reduces its vapor pressure so far that very little water is carried on by the air current, and this slight amount is absorbed by the calcium chloride in (e). as the calcium chloride frequently contains a small amount of a basic material which would absorb carbon dioxide, it is necessary to pass carbon dioxide through (e) for a short time and then drive all the gas out with a dry air current for thirty minutes before use.] [note : soda-lime absorption tubes are to be preferred if a satisfactory quality of soda lime is available and the number of determinations to be made successively is small. the potash bulbs will usually permit of a larger number of successive determinations without refilling, but they require greater care in handling and in the analytical procedure.] [note : soda lime is a mixture of sodium and calcium hydroxides. both combine with carbon dioxide to form carbonates, with the evolution of water. considerable heat is generated by the reaction, and the temperature of the tube during absorption serves as a rough index of the progress of the reaction through the mass of soda lime. it is essential that soda lime of good quality for analytical purposes should be used. the tube should not contain dust, as this is likely to be swept away.] [note : the solution of the hydroxide for use in the geissler bulb must be highly concentrated to insure complete absorption of the carbon dioxide and also to reduce the vapor pressure of the solution, thus lessening the danger of loss of water with the air which passes through the bulbs. the small quantity of moisture which is then carried out of the bulbs is held by the calcium chloride in the prolong tube. the best form of absorption bulb is that to which the prolong tube is attached by a ground glass joint. after the potassium hydroxide is approximately half consumed in the first bulb of the absorption apparatus, potassium bicarbonate is formed, and as it is much less soluble than the carbonate, it often precipitates. its formation is a warning that the absorbing power of the hydroxide is much diminished.] !the analysis! procedure.-- weigh out into the flask (b) about gram of limestone. cover it with cc. of water. weigh the absorption apparatus (f) or (f') accurately after allowing it to stand for minutes in the balance case, and wiping it carefully with a lintless cloth, taking care to handle it as little as possible after wiping (note ). connect the absorption apparatus with (e) and (f). if a soda-lime tube is used, be sure that the arm containing the soda lime is next the tube (e) and that the glass stopcocks are open. to be sure that the whole apparatus is airtight, disconnect the rubber tube from the flask (a), making sure that the tubes (a) and (b) do not contain any hydrochloric acid, close the pinchcocks (a) and (k) and open (h). no bubbles should pass through (d) or (g) after a few seconds. when assured that the fittings are tight, close (h) and open (a) cautiously to admit air to restore atmospheric pressure. this precaution is essential, as a sudden inrush of air will project liquid from (d) or (f'). reconnect the rubber tube with the flask (a). open the pinchcocks (a) and (k) and blow over about cc. of the hydrochloric acid from (a) into (b). when the action of the acid slackens, blow over (slowly) another cc. the rate of gas evolution should not exceed for more than a few seconds that at which about two bubbles per second pass through (g) (note ). repeat the addition of acid in small portions until the action upon the limestone seems to be at an end, taking care to close (a) after each addition of acid (note ). disconnect (a) and connect the rubber tubing with the soda-lime tube (k) and open (a). then close (k) and open (h), regulating the flow of water from (h) in such a way that about two bubbles per second pass through (g). place a small flame under (b) and !slowly! raise the contents to boiling and boil for three minutes. then remove the burner from under (b) and continue to draw air through the apparatus for - minutes, or until (h) is emptied (note ). remove the absorption apparatus, closing the stopcocks on (f) or stoppering the open ends of (f'), leave the apparatus in the balance case for at least thirty minutes, wipe it carefully and weigh, after opening the stopcocks (or removing plugs). the increase in weight is due to absorption of co_{ }, from which its percentage in the sample may be calculated. after cleaning (b) and refilling (h), the apparatus is ready for the duplicate analysis. [note : the absorption tubes or bulbs have large surfaces on which moisture may collect. by allowing them to remain in the balance case for some time before weighing, the amount of moisture absorbed on the surface is as nearly constant as practicable during two weighings, and a uniform temperature is also assured. the stopcocks of the u-tube should be opened, or the plugs used to close the openings of the geissler bulb should be removed before weighing in order that the air contents shall always be at atmospheric pressure.] [note : if the gas passes too rapidly into the absorption apparatus, some carbon dioxide may be carried through, not being completely retained by the absorbents.] [note : the essential ionic changes involved in this procedure are the following: it is assumed that the limestone, which is typified by calcium carbonate, is very slightly soluble in water, and the ions resulting are ca^{++} and co_{ }^{--}. in the presence of h^{+} ions of the mineral acid, the co_{ }^{--} ions form [h_{ }co_{ }]. this is not only a weak acid which, by its formation, diminishes the concentration of the co_{ }^{--} ions, thus causing more of the carbonate to dissolve to re-establish equilibrium, but it is also an unstable compound and breaks down into carbon dioxide and water.] [note : carbon dioxide is dissolved by cold water, but the gas is expelled by boiling, and, together with that which is distributed through the apparatus, is swept out into the absorption bulb by the current of air. this air is purified by drawing it through the tube (k) containing soda lime, which removes any carbon dioxide which may be in it.] determination of lead, copper, iron, and zinc in brass electrolytic separations !general discussion! when a direct current of electricity passes from one electrode to another through solutions of electrolytes, the individual ions present in these solutions tend to move toward the electrode of opposite electrical charge to that which each ion bears, and to be discharged by that electrode. whether or not such discharge actually occurs in the case of any particular ion depends upon the potential (voltage) of the current which is passing through the solution, since for each ion there is, under definite conditions, a minimum potential below which the discharge of the ion cannot be effected. by taking advantage of differences in discharge-potentials, it is possible to effect separations of a number of the metallic ions by electrolysis, and at the same time to deposit the metals in forms which admit of direct weighing. in this way the slower procedures of precipitation and filtration may frequently be avoided. the following paragraphs present a brief statement of the fundamental principles and conditions underlying electro-analysis. the total energy of an electric current as it passes through a solution is distributed among three factors, first, its potential, which is measured in volts, and corresponds to what is called "head" in a stream of water; second, current strength, which is measured in amperes, and corresponds to the volume of water passing a cross-section of a stream in a given time interval; and third, the resistance of the conducting medium, which is measured in ohms. the relation between these three factors is expressed by ohm's law, namely, that !i = e/r!, when i is current strength, e potential, and r resistance. it is plain that, for a constant resistance, the strength of the current and its potential are mutually and directly interdependent. as already stated, the applied electrical potential determines whether or not deposition of a metal upon an electrode actually occurs. the current strength determines the rate of deposition and the physical characteristics of the deposit. the resistance of the solution is generally so small as to fall out of practical consideration. approximate deposition-potentials have been determined for a number of the metallic elements, and also for hydrogen and some of the acid-forming radicals. the values given below are those required for deposition from normal solutions at ordinary temperatures with reference to a hydrogen electrode. they must be regarded as approximate, since several disturbing factors and some secondary reactions render difficult their exact application under the conditions of analysis. they are: zn cd fe ni pb h cu sb hg ag so_{ } + . + . + . + . + . - . - . - . - . + . from these data it is evident that in order to deposit copper from a normal solution of copper sulphate a minimum potential equal to the algebraic sum of the deposition-potentials of copper ions and sulphate ions must be applied, that is, + . volts. the deposition of zinc from a solution of zinc sulphate would require + . volts, but, since the deposition of hydrogen from sulphuric acid solution requires only + . volts, the quantitative deposition of zinc by electrolysis from a sulphuric acid solution of a zinc salt is not practicable. on the other hand, silver, if present in a solution of copper sulphate, would deposit with the copper. the foregoing examples suffice to illustrate the application of the principle of deposition potentials, but it must further be noted that the values stated apply to normal solutions of the compounds in question, that is, to solutions of considerable concentrations. as the concentration of the ions diminishes, and hence fewer ions approach the electrodes, somewhat higher voltages are required to attract and discharge them. from this it follows that the concentrations should be kept as high as possible to effect complete deposition in the least practicable time, or else the potentials applied must be progressively increased as deposition proceeds. in practice, the desired result is obtained by starting with small volumes of solution, using as large an electrode surface as possible, and by stirring the solution to bring the ions in contact with the electrodes. this is, in general, a more convenient procedure than that of increasing the potential of the current during electrolysis, although that method is also used. as already stated, those ions in a solution of electrolytes will first be discharged which have the lowest deposition potentials, and so long as these ions are present around the electrode in considerable concentration they, almost alone, are discharged, but, as their concentration diminishes, other ions whose deposition potentials are higher but still within that of the current applied, will also begin to separate. for example, from a nitric acid solution of copper nitrate, the copper ions will first be discharged at the cathode, but as they diminish in concentration hydrogen ions from the acid (or water) will be also discharged. since the hydrogen thus liberated is a reducing agent, the nitric acid in the solution is slowly reduced to ammonia, and it may happen that if the current is passed through for a long time, such a solution will become alkaline. oxygen is liberated at the anode, but, since there is no oxidizable substance present around that electrode, it escapes as oxygen gas. it should be noted that, in general, the changes occurring at the cathode are reductions, while those at the anode are oxidations. for analytical purposes, solutions of nitrates or sulphates of the metals are preferable to those of the chlorides, since liberated chlorine attacks the electrodes. in some cases, as for example, that of silver, solution of salts forming complex ions, like that of the double cyanide of silver and potassium, yield better metallic deposits. most metals are deposited as such upon the cathode; a few, notably lead and manganese, separate in the form of dioxides upon the anode. it is evidently important that the deposited material should be so firmly adherent that it can be washed, dried, and weighed without loss in handling. to secure these conditions it is essential that the current density (that is, the amount of current per unit of area of the electrodes) shall not be too high. in prescribing analytical conditions it is customary to state the current strength in "normal densities" expressed in amperes per sq. cm. of electrode surface, as, for example, "n.d_{ } = amps." if deposition occurs too rapidly, the deposit is likely to be spongy or loosely adherent and falls off on subsequent treatment. this places a practical limit to the current density to be employed, for a given electrode surface. the cause of the unsatisfactory character of the deposit is apparently sometimes to be found in the coincident liberation of considerable hydrogen and sometimes in the failure of the rapidly deposited material to form a continuous adherent surface. the effect of rotating electrodes upon the character of the deposit is referred to below. the negative ions of an electrolyte are attracted to the anode and are discharged on contact with it. anions such as the chloride ion yield chlorine atoms, from which gaseous chlorine molecules are formed and escape. the radicals which compose such ions as no_{ }^{-} or so_{ }^{--} are not capable of independent existence after discharge, and break down into oxygen and n_{ }o_{ } and so_{ } respectively. the oxygen escapes and the anhydrides, reacting with water, re-form nitric and sulphuric acids. the law of faraday expresses the relation between current strength and the quantities of the decomposition products which, under constant conditions, appear at the electrodes, namely, that a given quantity of electricity, acting for a given time, causes the separation of chemically equivalent quantities of the various elements or radicals. for example, since . grams of silver is equivalent to . grams of hydrogen, and that in turn to grams of oxygen, or . grams of copper, the quantity of electricity which will cause the deposit of . grams of silver in a given time will also separate the weights just indicated of the other substances. experiments show that a current of one ampere passing for one second, i.e., a coulomb of electricity, causes the deposition of . gram of silver from a normal solution of a silver salt. the number of coulombs required to deposit . grams is . / . or , and the same number of coulombs will also cause the separation of . grams of hydrogen, grams of oxygen or . grams of copper. while it might at first appear that faraday's law could thus be used as a basis for the calculation of the time required for the deposition of a given quantity of an electrolyte from solution, it must be remembered that the law expresses what occurs when the concentration of the ions in the solution is kept constant, as, for example, when the anode in a silver salt solution is a plate of metallic silver. under the conditions of electro-analysis the concentration of the ions is constantly diminishing as deposition proceeds and the time actually required for complete deposition of a given weight of material by a current of constant strength is, therefore, greater than that calculated on the basis of the law as stated above. the electrodes employed in electro-analysis are almost exclusively of platinum, since that metal alone satisfactorily resists chemical action of the electrolytes, and can be dried and weighed without change in composition. the platinum electrodes may be used in the form of dishes, foil or gauze. the last, on account of the ease of circulation of the electrolyte, its relatively large surface in proportion to its weight and the readiness with which it can be washed and dried, is generally preferred. many devices have been described by the use of which the electrode upon which deposition occurs can be mechanically rotated. this has an effect parallel to that of greatly increasing the electrode surface and also provides a most efficient means of stirring the solution. with such an apparatus the amperage may be increased to or even amperes and depositions completed with great rapidity and accuracy. it is desirable, whenever practicable, to provide a rotating or stirring device, since, for example, the time consumed in the deposition of the amount of copper usually found in analysis may be reduced from the to hours required with stationary electrodes, and unstirred solutions, to about one half hour. determination of copper and lead procedure.--weigh out two portions of about . gram each (note ) into tall, slender lipless beakers of about cc. capacity. dissolve the metal in a solution of cc. of dilute nitric acid (sp. gr. . ) and cc. of water, heating gently, and keeping the beaker covered. when the sample has all dissolved (note ), wash down the sides of the beaker and the bottom of the watch-glass with water and dilute the solution to about cc. carefully heat to boiling and boil for a minute or two to expel nitrous fumes. meanwhile, four platinum electrodes, two anodes and two cathodes, should be cleaned by dipping in dilute nitric acid, washing with water and finally with per cent alcohol (note ). the alcohol may be ignited and burned off. the electrodes are then cooled in a desiccator and weighed. connect the electrodes with the binding posts (or other device for connection with the electric circuit) in such a way that the copper will be deposited upon the electrode with the larger surface, which is made the cathode. the beaker containing the solution should then be raised into place from below the electrodes until the latter reach nearly to the bottom of the beaker. the support for the beaker must be so arranged that it can be easily raised or lowered. if the electrolytic apparatus is provided with a mechanism for the rotation of the electrode or stirring of the electrolyte, proceed as follows: arrange the resistance in the circuit to provide a direct current of about one ampere. pass this current through the solution to be electrolyzed, and start the rotating mechanism. keep the beaker covered as completely as possible, using a split watch-glass (or other device) to avoid loss by spattering. when the solution is colorless, which is usually the case after about minutes, rinse off the cover glass, wash down the sides of the beaker, add about . gram of urea and continue the electrolysis for another five minutes (notes and ). if stationary electrodes are employed, the current strength should be about . ampere, which may, after to hours, be increased to . ampere. the time required for complete deposition is usually from to hours. it is advisable to add cc. of nitric acid (sp. gr. . ) if the electrolysis extends over this length of time. no urea is added in this case. when the deposition of the copper appears to be complete, stop the rotating mechanism and slowly lower the beaker with the left hand, directing at the same time a stream of water from a wash bottle on both electrodes. remove the beaker, shut off the current, and, if necessary, complete the washing of the electrodes (note ). rinse the electrodes cautiously with alcohol and heat them in a hot closet until the alcohol has just evaporated, but no longer, since the copper is likely to oxidize at the higher temperature. (the alcohol may be removed by ignition if care is taken to keep the electrodes in motion in the air so that the copper deposit is not too strongly heated at any one point.) test the solution in the beaker for copper as follows, remembering that it is to be used for subsequent determinations of iron and zinc: remove about cc. and add a slight excess of ammonia. compare the mixture with some distilled water, holding both above a white surface. the solution should not show any tinge of blue. if the presence of copper is indicated, add the test portion to the main solution, evaporate the whole to a volume of about cc., and again electrolyze with clean electrodes (note ). after cooling the electrodes in a desiccator, weigh them and from the weight of copper on the cathode and of lead dioxide (pbo_{ }) on the anode, calculate the percentage of copper (cu) and of lead (pb) in the brass. [note : it is obvious that the brass taken for analysis should be untarnished, which can be easily assured, when wire is used, by scouring with emery. if chips or borings are used, they should be well mixed, and the sample for analysis taken from different parts of the mixture.] [note : if a white residue remains upon treatment of the alloy with nitric acid, it indicates the presence of tin. the material is not, therefore, a true brass. this may be treated as follows: evaporate the solution to dryness, moisten the residue with cc. of dilute nitric acid (sp. gr. . ) and add cc. of hot water. filter off the meta-stannic acid, wash, ignite in porcelain and weigh as sno_{ }. this oxide is never wholly free from copper and must be purified for an exact determination. if it does not exceed per cent of the alloy, the quantity of copper which it contains may usually be neglected.] [note : the electrodes should be freed from all greasy matter before using, and those portions upon which the metal will deposit should not be touched with the fingers after cleaning.] [note : of the ions in solution, the h^{+}, cu^{++}, zn^{++}, and fe^{+++} ions tend to move toward the cathode. the no_{ }^{-} ions and the lead, probably in the form of pbo_{ }^{--} ions, move toward the anode. at the cathode the cu^{++} ions are discharged and plate out as metallic copper. this alone occurs while the solution is relatively concentrated. later on, h^{+} ions are also discharged. in the presence of considerable quantities of h^{+} ions, as in this acid solution, no zn^{++} or fe^{+++} ions are discharged because of their greater deposition potentials. at the anode the lead is deposited as pbo_{ } and oxygen is evolved. for the reasons stated on page care must be taken that the solution does not become alkaline if the electrolysis is long continued.] [note : urea reacts with nitrous acid, which may be formed in the solution as a result of the reducing action of the liberated hydrogen. its removal promotes the complete precipitation of the copper. the reaction is co(nh_{ })_{ } + hno_{ } --> co_{ } + n_{ } + h_{ }o.] [note : the electrodes must be washed nearly or quite free from the nitric acid solution before the circuit is broken to prevent re-solution of the copper. if several solutions are connected in the same circuit it is obvious that some device must be used to close the circuit as soon as the beaker is removed.] [note : the electrodes upon which the copper has been deposited may be cleaned by immersion in warm nitric acid. to remove the lead dioxide, add a few crystals of oxalic acid to the nitric acid.] determination of iron most brasses contain small percentages of iron (usually not over . per cent) which, unless removed, is precipitated as phosphate and weighed with the zinc. procedure.--to the solution from the precipitation of copper and lead by electrolysis, add dilute ammonia (sp. gr. . ) until the precipitate of zinc hydroxide which first forms re-dissolves, leaving only a slight red precipitate of ferric hydroxide. filter off the iron precipitate, using a washed filter, and wash five times with hot water. test a portion of the last washing with a dilute solution of ammonium sulphide to assure complete removal of the zinc. the precipitate may then be ignited and weighed as ferric oxide, as described on page . calculate the percentage of iron (fe) in the brass. determination of zinc procedure.--acidify the filtrate from the iron determination with dilute nitric acid. concentrate it to cc. add to the cold solution dilute ammonia (sp. gr. . ) cautiously until it barely smells of ammonia; then add !one drop! of a dilute solution of litmus (note ), and drop in, with the aid of a dropper, dilute nitric acid until the blue of the litmus just changes to red. it is important that this point should not be overstepped. heat the solution nearly to boiling and pour into it slowly a filtered solution of di-ammonium hydrogen phosphate[ ] containing a weight of the phosphate about equal to twelve times that of the zinc to be precipitated. (for this calculation the approximate percentage of zinc is that found by subtracting the sum of the percentages of the copper, lead and iron from per cent.) keep the solution just below boiling for fifteen minutes, stirring frequently (note ). if at the end of this time the amorphous precipitate has become crystalline, allow the solution to cool for about four hours, although a longer time does no harm (note ), and filter upon an asbestos filter in a porcelain gooch crucible. the filter is prepared as described on page , and should be dried to constant weight at °c. [footnote : the ammonium phosphate which is commonly obtainable contains some mono-ammonium salt, and this is not satisfactory as a precipitant. it is advisable, therefore, to weigh out the amount of the salt required, dissolve it in a small volume of water, add a drop of phenolphthalein solution, and finally add dilute ammonium hydroxide solution cautiously until the solution just becomes pink, but do not add an excess.] wash the precipitate until free from sulphates with a warm per cent solution of the di-ammonium phosphate, and then five times with per cent alcohol (note ). dry the crucible and precipitate for an hour at °c., and finally to constant weight (note ). the filtrate should be made alkaline with ammonia and tested for zinc with a few drops of ammonium sulphide, allowing it to stand (notes , and ). from the weight of the zinc ammonium phosphate (znnh_{ }po_{ }) calculate the percentage of the zinc (zn) in the brass. [note : the zinc ammonium phosphate is soluble both in acids and in ammonia. it is, therefore, necessary to precipitate the zinc in a nearly neutral solution, which is more accurately obtained by adding a drop of a litmus solution to the liquid than by the use of litmus paper.] [note : the precipitate which first forms is amorphous, and may have a variable composition. on standing it becomes crystalline and then has the composition znnh_{ }po_{ }. the precipitate then settles rapidly and is apt to occasion "bumping" if the solution is heated to boiling. stirring promotes the crystallization.] [note : in a carefully neutralized solution containing a considerable excess of the precipitant, and also ammonium salts, the separation of the zinc is complete after standing four hours. the ionic changes connected with the precipitation of the zinc as zinc ammonium phosphate are similar to those described for magnesium ammonium phosphate, except that the zinc precipitate is soluble in an excess of ammonium hydroxide, probably as a result of the formation of complex ions of the general character zn(nh_{ })_{ }^{++}.] [note : the precipitate is washed first with a dilute solution of the phosphate to prevent a slight decomposition of the precipitate (as a result of hydrolysis) if hot water alone is used. the alcohol is added to the final wash-water to promote the subsequent drying.] [note : the precipitate may be ignited and weighed as zn_{ }p_{ }o_{ }, by cautiously heating the porcelain gooch crucible within a nickel or iron crucible, used as a radiator. the heating must be very slow at first, as the escaping ammonia may reduce the precipitate if it is heated too quickly.] [note : if the ammonium sulphide produced a distinct precipitate, this should be collected on a small filter, dissolved in a few cubic centimeters of dilute nitric acid, and the zinc reprecipitated as phosphate, filtered off, dried, and weighed, and the weight added to that of the main precipitate.] [note : it has been found that some samples of asbestos are acted upon by the phosphate solution and lose weight. an error from this source may be avoided by determining the weight of the crucible and filter after weighing the precipitate. for this purpose the precipitate may be dissolved in dilute nitric acid, the asbestos washed thoroughly, and the crucible reweighed.] [note . the details of this method of precipitation of zinc are fully discussed in an article by dakin, !ztschr. anal. chem.!, ( ), .] determination of silica in silicates of the natural silicates, or artificial silicates such as slags and some of the cements, a comparatively few can be completely decomposed by treatment with acids, but by far the larger number require fusion with an alkaline flux to effect decomposition and solution for analysis. the procedure given below applies to silicates undecomposable by acids, of which the mineral feldspar is taken as a typical example. modifications of the procedure, which are applicable to silicates which are completely or partially decomposable by acids, are given in the notes on page . preparation of the sample grind about grams of the mineral in an agate mortar (note ) until no grittiness is to be detected, or, better, until it will entirely pass through a sieve made of fine silk bolting cloth. the sieve may be made by placing a piece of the bolting cloth over the top of a small beaker in which the ground mineral is placed, holding the cloth in place by means of a rubber band below the lip of the beaker. by inverting the beaker over clean paper and gently tapping it, the fine particles pass through the sieve, leaving the coarser particles within the beaker. these must be returned to the mortar and ground, and the process of sifting and grinding repeated until the entire sample passes through the sieve. [note : if the sample of feldspar for analysis is in the massive or crystalline form, it should be crushed in an iron mortar until the pieces are about half the size of a pea, and then transferred to a steel mortar, in which they are reduced to a coarse powder. a wooden mallet should always be used to strike the pestle of the steel mortar, and the blows should not be sharp. it is plain that final grinding in an agate mortar must be continued until the whole of the portion of the mineral originally taken has been ground so that it will pass the bolting cloth, otherwise the sifted portion does not represent an average sample, the softer ingredients, if foreign matter is present, being first reduced to powder. for this reason it is best to start with not more than the quantity of the feldspar needed for analysis. the mineral must be thoroughly mixed after the grinding.] fusion and solution procedure.--weigh into platinum crucibles two portions of the ground feldspar of about . gram each. weigh on rough balances two portions of anhydrous sodium carbonate, each amounting to about six times the weight of the feldspar taken for analysis (note ). pour about three fourths of the sodium carbonate into the crucible, place the latter on a piece of clean, glazed paper, and thoroughly mix the substance and the flux by carefully stirring for several minutes with a dry glass rod, the end of which has been recently heated and rounded in a flame and slowly cooled. the rod may be wiped off with a small fragment of filter paper, which may be placed in the crucible. place the remaining fourth of the carbonate on the top of the mixture. cover the crucible, heat it to dull redness for five minutes, and then gradually increase the heat to the full capacity of a bunsen or tirrill burner for twenty minutes, or until a quiet, liquid fusion is obtained (note ). finally, heat the sides and cover strongly until any material which may have collected upon them is also brought to fusion. allow the crucible to cool, and remove the fused mass as directed on page . disintegrate the mass by placing it in a previously prepared mixture of cc. of water and cc. of dilute hydrochloric acid (sp. gr. . ) in a covered casserole (note ). clean the crucible and lid by means of a little hydrochloric acid, adding this acid to the main solution (notes and ). [note : quartz, and minerals containing very high percentages of silica, may require eight or ten parts by weight of the flux to insure a satisfactory decomposition.] [note : during the fusion the feldspar, which, when pure, is a silicate of aluminium and either sodium or potassium, but usually contains some iron, calcium, and magnesium, is decomposed by the alkaline flux. the sodium of the latter combines with the silicic acid of the silicate, with the evolution of carbon dioxide, while about two thirds of the aluminium forms sodium aluminate and the remainder is converted into basic carbonate, or the oxide. the calcium and magnesium, if present, are changed to carbonates or oxides. the heat is applied gently to prevent a too violent reaction when fusion first takes place.] [note : the solution of a silicate by a strong acid is the result of the combination of the h^{+} ions of the acid and the silicate ions of the silicate to form a slightly ionized silicic acid. as a consequence, the concentration of the silicate ions in the solution is reduced nearly to zero, and more silicate dissolves to re-establish the disturbed equilibrium. this process repeats itself until all of the silicate is brought into solution. whether the resulting solution of the silicate contains ortho-silicic acid (h_{ }sio_{ }) or whether it is a colloidal solution of some other less hydrated acid, such as meta-silicic acid (h_{ }sio_{ }), is a matter that is still debatable. it is certain, however, that the gelatinous material which readily separates from such solutions is of the nature of a hydrogel, that is, a colloid which is insoluble in water. this substance when heated to °c., or higher, is completely dehydrated, leaving only the anhydride, sio_{ }. the changes may be represented by the equation: sio_{ }^{--} + h^{+} --> [h_{ }sio_{ }] --> h_{ }o + sio_{ }.] [note : a portion of the fused mass is usually projected upward by the escaping carbon dioxide during the fusion. the crucible must therefore be kept covered as much as possible and the lid carefully cleaned.] [note : a gritty residue remaining after the disintegration of the fused mass by acid indicates that the substance has been but imperfectly decomposed. such a residue should be filtered, washed, dried, ignited, and again fused with the alkaline flux; or, if the quantity of material at hand will permit, it is better to reject the analysis, and to use increased care in grinding the mineral and in mixing it with the flux.] dehydration and filtration procedure.--evaporate the solution of the fusion to dryness, stirring frequently until the residue is a dry powder. moisten the residue with cc. of strong hydrochloric acid (sp. gr. . ) and evaporate again to dryness. heat the residue for at least one hour at a temperature of °c. (note ). again moisten the residue with concentrated hydrochloric acid, warm gently, making sure that the acid comes into contact with the whole of the residue, dilute to about cc. and bring to boiling. filter off the silica without much delay (note ), and wash five times with warm dilute hydrochloric acid (one part dilute acid ( . sp. gr.) to three parts of water). allow the filter to drain for a few moments, then place a clean beaker below the funnel and wash with water until free from chlorides, discarding these washings. evaporate the original filtrate to dryness, dehydrate at °c. for one hour (note ), and proceed as before, using a second filter to collect the silica after the second dehydration. wash this filter with warm, dilute hydrochloric acid (note ), and finally with hot water until free from chlorides. [note : the silicic acid must be freed from its combination with a base (sodium, in this instance) before it can be dehydrated. the excess of hydrochloric acid accomplishes this liberation. by disintegrating the fused mass with a considerable volume of dilute acid the silicic acid is at first held in solution to a large extent. immediate treatment of the fused mass with strong acid is likely to cause a semi-gelatinous silicic acid to separate at once and to inclose alkali salts or alumina. a flocculent residue will often remain after the decomposition of the fused mass is effected. this is usually partially dehydrated silicic acid and does not require further treatment at this point. the progress of the dehydration is indicated by the behavior of the solution, which as evaporation proceeds usually gelatinizes. on this account it is necessary to allow the solution to evaporate on a steam bath, or to stir it vigorously, to avoid loss by spattering.] [note : to obtain an approximately pure silica, the residue after evaporation must be thoroughly extracted by warming with hydrochloric acid, and the solution freely diluted to prevent, as far as possible, the inclosure of the residual salts in the particles of silica. the filtration should take place without delay, as the dehydrated silica slowly dissolves in hydrochloric acid on standing.] [note : it has been shown by hillebrand that silicic acid cannot be completely dehydrated by a single evaporation and heating, nor by several such treatments, unless an intermediate filtration of the silica occurs. if, however, the silica is removed and the filtrates are again evaporated and the residue heated, the amount of silica remaining in solution is usually negligible, although several evaporations and filtrations are required with some silicates to insure absolute accuracy. it is probable that temperatures above °c. are not absolutely necessary to dehydrate the silica; but it is recommended, as tending to leave the silica in a better condition for filtration than when the lower temperature of the water bath is used. this, and many other points in the analysis of silicates, are fully discussed by dr. hillebrand in the admirable monograph on "the analysis of silicate and carbonate rocks," bulletin no. of the united states geological survey. the double evaporation and filtration spoken of above are essential because of the relatively large amount of alkali salts (sodium chloride) present after evaporation. for the highest accuracy in the determination of silica, or of iron and alumina, it is also necessary to examine for silica the precipitate produced in the filtrate by ammonium hydroxide by fusing it with acid potassium sulphate and solution of the fused mass in water. the insoluble silica is filtered, washed, and weighed, and the weight added to the weight of silica previously obtained.] [note : aluminium and iron are likely to be thrown down as basic salts from hot, very dilute solutions of their chlorides, as a result of hydrolysis. if the silica were washed only with hot water, the solution of these chlorides remaining in the filter after the passage of the original filtrate would gradually become so dilute as to throw down basic salts within the pores of the filter, which would remain with the silica. to avoid this, an acid wash-water is used until the aluminium and iron are practically removed. the acid is then removed by water.] ignition and testing of silica procedure.--transfer the two washed filters belonging to each determination to a platinum crucible, which need not be previously weighed, and burn off the filter (note ). ignite for thirty minutes over the blast lamp with the cover on the crucible, and then for periods of ten minutes, until the weight is constant. when a constant weight has been obtained, pour into the crucible about cc. of water, and then cc. of hydrofluoric acid. !this must be done in a hood with a good draft and great care must be taken not to come into contact with the acid or to inhale its fumes (note !). if the precipitate has dissolved in this quantity of acid, add two drops of concentrated sulphuric acid, and heat very slowly (always under the hood) until all the liquid has evaporated, finally igniting to redness. cool in a desiccator, and weigh the crucible and residue. deduct this weight from the previous weight of crucible and impure silica, and from the difference calculate the percentage of silica in the sample (note ). [note : the silica undergoes no change during the ignition beyond the removal of all traces of water; but hillebrand (!loc. cit.!) has shown that the silica holds moisture so tenaciously that prolonged ignition over the blast lamp is necessary to remove it entirely. this finely divided, ignited silica tends to absorb moisture, and should be weighed quickly.] [note : notwithstanding all precautions, the ignited precipitate of silica is rarely wholly pure. it is tested by volatilisation of the silica as silicon fluoride after solution in hydrofluoric acid, and, if the analysis has been properly conducted, the residue, after treatment with the acids and ignition, should not exceed mg. the acid produces ulceration if brought into contact with the skin, and its fumes are excessively harmful if inhaled.] [note : the impurities are probably weighed with the original precipitate in the form of oxides. the addition of the sulphuric acid displaces the hydrofluoric acid, and it may be assumed that the resulting sulphates (usually of iron or aluminium) are converted to oxides by the final ignition. it is obvious that unless the sulphuric and hydrofluoric acids used are known to leave no residue on evaporation, a quantity equal to that employed in the analysis must be evaporated and a correction applied for any residue found.] [note : if the silicate to be analyzed is shown by a previous qualitative examination to be completely decomposable, it may be directly treated with hydrochloric acid, the solution evaporated to dryness, and the silica dehydrated and further treated as described in the case of the feldspar after fusion. a silicate which gelatinizes on treatment with acids should be mixed first with a little water, and the strong acid added in small portions with stirring, otherwise the gelatinous silicic acid incloses particles of the original silicate and prevents decomposition. the water, by separating the particles and slightly lessening the rapidity of action, prevents this difficulty. this procedure is one which applies in general to the solution of fine mineral powders in acids. if a small residue remains undecomposed by the treatment of the silicate with acid, this may be filtered, washed, ignited and fused with sodium carbonate and a solution of the fused mass added to the original acid solution. this double procedure has an advantage, in that it avoids adding so large a quantity of sodium salts as is required for disintegration of the whole of the silicate by the fusion method.] part iv stoichiometry the problems with which the analytical chemist has to deal are not, as a matter of actual fact, difficult either to solve or to understand. that they appear difficult to many students is due to the fact that, instead of understanding the principles which underlie each of the small number of types into which these problems may be grouped, each problem is approached as an individual puzzle, unrelated to others already solved or explained. this attitude of mind should be carefully avoided. it is obvious that ability to make the calculations necessary for the interpretation of analytical data is no less important than the manipulative skill required to obtain them, and that a moderate time spent in the careful study of the solutions of the typical problems which follow may save much later embarrassment. . it is often necessary to calculate what is known as a "chemical factor," or its equivalent logarithmic value called a "log factor," for the conversion of the weight of a given chemical substance into an equivalent weight of another substance. this is, in reality, a very simple problem in proportion, making use of the atomic or molecular weights of the substances in question which are chemically equivalent to each other. one of the simplest cases of this sort is the following: what is the factor for the conversion of a given weight of barium sulphate (baso_{ }) into an equivalent weight of sulphur (s)? the molecular weight of baso_{ } is . . there is one atom of s in the molecule and the atomic weight of s is . . the chemical factor is, therefore, . / . , or . and the weight of s corresponding to a given weight of baso_{ } is found by multiplying the weight of baso_{ } by this factor. if the problem takes the form, "what is the factor for the conversion of a given weight of ferric oxide (fe_{ }o_{ }) into ferrous oxide (feo), or of a given weight of mangano-manganic oxide (mn_{ }o_{ }) into manganese (mn)?" the principle involved is the same, but it must then be noted that, in the first instance, each molecule of fe_{ }o_{ } will be equivalent to two molecules of feo, and in the second instance that each molecule of mn_{ }o_{ } is equivalent to three atoms of mn. the respective factors then become ( feo/fe_{ }o_{ }) or ( . / . ) and ( mn/mn_{ }o_{ }) or ( . / . ). it is obvious that the arithmetical processes involved in this type of problem are extremely simple. it is only necessary to observe carefully the chemical equivalents. it is plainly incorrect to express the ratio of ferrous to ferric oxide as (feo/fe_{ }o_{ }), since each molecule of the ferric oxide will yield two molecules of the ferrous oxide. mistakes of this sort are easily made and constitute one of the most frequent sources of error. . a type of problem which is slightly more complicated in appearance, but exactly comparable in principle, is the following: "what is the factor for the conversion of a given weight of ferrous sulphate (feso_{ }), used as a reducing agent against potassium permanganate, into the equivalent weight of sodium oxalate (na_{ }c_{ }o_{ })?" to determine the chemical equivalents in such an instance it is necessary to inspect the chemical reactions involved. these are: feso_{ } + kmno_{ } + h_{ }so_{ } --> fe_{ }(so_{ })_{ } + k_{ }so_{ } + mnso_{ } + h_{ }o, na_{ }c_{ }o_{ } + kmno_{ } + h_{ }so_{ } --> na_{ }so_{ } + co_{ } + k_{ }so_{ } + mnso_{ } + h_{ }o. it is evident that feso_{ } in the one case, and na_{ }c_{ }o_{ } in the other, each react with kmno_{ }. these molecular quantities are therefore equivalent, and the factor becomes ( feso_{ }/ na_{ }c_{ }o_{ }) or ( feso_{ }/na_{ }c_{ }o_{ }) or ( . / ). again, let it be assumed that it is desired to determine the factor required for the conversion of a given weight of potassium permanganate (kmno_{ }) into an equivalent weight of potassium bichromate (k_{ }cr_{ }o_{ }), each acting as an oxidizing agent against ferrous sulphate. the reactions involved are: feso_{ } + kmno_{ } + h_{ }so_{ } --> fe_{ }(so_{ })_{ } + k_{ }so_{ } + mnso_{ } + h_{ }o, feso_{ } + k_{ }cr_{ }o_{ } + h_{ }so_{ } --> fe_{ }(so_{ })_{ } + k_{ }so_{ } + cr_{ }(so_{ })_{ } + h_{ }o. an inspection of these equations shows that kmo_{ } react with feso_{ }, while k_{ }cr_{ }o_{ } reacts with feso_{ }. these are not equivalent, but if the first equation is multiplied by and the second by the number of molecules of feso_{ } is then the same in both, and the number of molecules of kmno_{ } and k_{ }cr_{ }o_{ } reacting with these molecules become and respectively. these are obviously chemically equivalent and the desired factor is expressed by the fraction ( kmno_{ }/ k_{ }cr_{ }o_{ }) or ( . / . ). . it is sometimes necessary to calculate the value of solutions according to the principles just explained, when several successive reactions are involved. such problems may be solved by a series of proportions, but it is usually possible to eliminate the common factors and solve but a single one. for example, the amount of mno_{ } in a sample of the mineral pyrolusite may be determined by dissolving the mineral in hydrochloric acid, absorbing the evolved chlorine in a solution of potassium iodide, and measuring the liberated iodine by titration with a standard solution of sodium thiosulphate. the reactions involved are: mno_{ } + hcl --> mncl_{ } + h_{ }o + cl_{ } cl_{ } + ki --> i_{ } + kcl i_{ } + na_{ }s_{ }o_{ } --> nai + na_{ }s_{ }o_{ } assuming that the weight of thiosulphate corresponding to the volume of sodium thiosulphate solution used is known, what is the corresponding weight of manganese dioxide? from the reactions given above, the following proportions may be stated: na_{ }s_{ }o_{ }:i_{ } = . : . , i_{ }:cl_{ } = . : , cl_{ }:mno_{ } = : . . after canceling the common factors, there remains na_{ }s_{ }o_{ }:mno_{ } = . : . , and the factor for the conversion of thiosulphate into an equivalent of manganese dioxide is . / . . . to calculate the volume of a reagent required for a specific operation, it is necessary to know the exact reaction which is to be brought about, and, as with the calculation of factors, to keep in mind the molecular relations between the reagent and the substance reacted upon. for example, to estimate the weight of barium chloride necessary to precipitate the sulphur from . gram of pure pyrite (fes_{ }), the proportion should read . . (bacl_{ }. h_{ }o):fes_{ } = x: . , where !x! represents the weight of the chloride required. each of the two atoms of sulphur will form upon oxidation a molecule of sulphuric acid or a sulphate, which, in turn, will require a molecule of the barium chloride for precipitation. to determine the quantity of the barium chloride required, it is necessary to include in its molecular weight the water of crystallization, since this is inseparable from the chloride when it is weighed. this applies equally to other similar instances. if the strength of an acid is expressed in percentage by weight, due regard must be paid to its specific gravity. for example, hydrochloric acid (sp. gr. . ) contains . per cent hcl !by weight!; that is, . gram hcl in each cubic centimeter. . it is sometimes desirable to avoid the manipulation required for the separation of the constituents of a mixture of substances by making what is called an "indirect analysis." for example, in the analysis of silicate rocks, the sodium and potassium present may be obtained in the form of their chlorides and weighed together. if the weight of such a mixture is known, and also the percentage of chlorine present, it is possible to calculate the amount of each chloride in the mixture. let it be assumed that the weight of the mixed chlorides is . gram, and that it contains per cent of chlorine. the simplest solution of such a problem is reached through algebraic methods. the weight of chlorine is evidently . x . , or . gram. let x represent the weight of sodium chloride present and y that of potassium chloride. the molecular weight of nacl is . and that of kcl is . . the atomic weight of chlorine is . . then x + y = . ( . / . )x + ( . / . )y = . solving these equations for x shows the weight of nacl to be . gram. the weight of kcl is found by subtracting this from . . the above is one of the most common types of indirect analyses. others are more complex but they can be reduced to algebraic expressions and solved by their aid. it should, however, be noted that the results obtained by these indirect methods cannot be depended upon for high accuracy, since slight errors in the determination of the common constituent, as chlorine in the above mixture, will cause considerable variations in the values found for the components. they should not be employed when direct methods are applicable, if accuracy is essential. problems (the reactions necessary for the solution of these problems are either stated with the problem or may be found in the earlier text. in the calculations from which the answers are derived, the atomic weights given on page have been employed, using, however, only the first decimal but increasing this by when the second decimal is or above. thus, . has been taken as the atomic weight of potassium, . for sulphur, etc. this has been done merely to secure uniformity of treatment, and the student should remember that it is always well to take into account the degree of accuracy desired in a particular instance in determining the number of decimal places to retain. four-place logarithms were employed in the calculations. where four figures are given in the answer, the last figure may vary by one or (rarely) by two units, according to the method by which the problem is solved.) volumetric analysis . how many grams of pure potassium hydroxide are required for exactly liter of normal alkali solution? !answer!: . grams. . calculate the equivalent in grams (a) of sulphuric acid as an acid; (b) of hydrochloric acid as an acid; (c) of oxalic acid as an acid; (d) of nitric acid as an acid. !answers!: (a) . ; (b) . ; (c) ; (d) . . calculate the equivalent in grams of (a) potassium hydroxide; (b) of sodium carbonate; (c) of barium hydroxide; (d) of sodium bicarbonate when titrated with an acid. !answers!: (a) . ; (b) . ; (c) . ; (d) . . what is the equivalent in grams of na_{ }hpo_{ } (a) as a phosphate; (b) as a sodium salt? !answers!: (a) . ; (b) . . . a sample of aqueous hydrochloric acid has a specific gravity of . and contains . per cent hydrochloric acid by weight. calculate the grams and the milliequivalents of hydrochloric acid (hcl) in each cubic centimeter of the aqueous acid. !answers!: . gram; . milliequivalents. . how many cubic centimeters of hydrochloric acid (sp. gr. . containing . per cent hcl by weight) are required to furnish . grams of the gaseous compound? !answer!: . cc. . a given solution contains . equivalents of hydrochloric acid in cc. what is its normal value? !answer!: . n. . in standardizing a hydrochloric acid solution it is found that . cc. of hydrochloric acid are exactly equivalent to . grams of pure sodium carbonate, using methyl orange as an indicator. what is the normal value of the hydrochloric acid? !answer!: . n. . convert . cc. of . normal hydrochloric acid to the equivalent volume of normal hydrochloric acid. !answer!: . cc. . a solution containing . cc. of . normal hydrochloric acid is added to one containing . cc. of . normal sulphuric acid and cc. of exactly normal potassium hydroxide added from a pipette. is the solution acid or alkaline? how many cubic centimeters of . normal acid or alkali must be added to exactly neutralize the solution? !answer!: . cc. alkali (solution is acid). . by experiment the normal value of a sulphuric acid solution is found to be . . of this acid . cc. are exactly equivalent to . cc. of a standard alkali solution. what is the normal value of the alkali? !answer!: . n. . a solution of sulphuric acid is standardized against a sample of calcium carbonate which has been previously accurately analyzed and found to contain . % caco_{ } and no other basic material. the sample weighing . gram was titrated by adding an excess of acid ( . cc.) and titrating the excess with sodium hydroxide solution ( . cc.). cc. of acid is equivalent to . cc. of sodium hydroxide. calculate the normal value of each. !answers!: acid . n; alkali . n. . given five cc. portions of . normal hydrochloric acid, (a) how many grams of silver chloride will be precipitated by a portion when an excess of silver nitrate is added? (b) how many grams of pure anhydrous sodium carbonate (na_{ }co_{ }) will be neutralized by a portion of it? (c) how many grams of silver will there be in the silver chloride formed when an excess of silver nitrate is added to a portion? (d) how many grams of iron will be dissolved to fecl_{ } by a portion of it? (e) how many grams of magnesium chloride will be formed and how many grams of carbon dioxide liberated when an excess of magnesium carbonate is treated with a portion of the acid? !answers!: (a) . ; (b) . ; (c) . ; (d) . ; (e) . , and . . . if . grams of potassium tetroxalate (khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o) are dissolved and the solution diluted to exactly liter, and cc. are neutralized with cc. of a potassium carbonate solution, what is the normal value of the carbonate solution? !answer!: . n. . how many cubic centimeters of . normal sulphuric acid will be required to neutralize (a) cc. of . normal potassium hydroxide; (b) to neutralize cc. of . normal barium hydroxide; (c) to neutralize cc. of a solution containing . grams of potassium bicarbonate per cc.; (d) to give a precipitate of barium sulphate weighing . gram? !answers!: (a) cc.; (b) cc.; (c) . cc.; (d) . cc. . it is desired to dilute a solution of sulphuric acid of which cc. is equivalent to . gram of pure sodium carbonate to make it exactly . normal. cc. of the solution are available. to what volume must it be diluted? !answer!: cc. . given the following data: cc. of naoh = . cc. hcl. the hcl is . n. how much water must be added to cc. of the alkali to make it exactly . n.? !answer!: . cc. . what is the normal value of a sulphuric acid solution which has a specific gravity of . and contains % h_{ }so_{ } by weight? !answer!: . n. . a sample of rochelle salt (knac_{ }h_{ }o_{ }. h_{ }o), after ignition in platinum to convert it to the double carbonate, is titrated with sulphuric acid, using methyl orange as an indicator. from the following data calculate the percentage purity of the sample: wt. sample = . gram h_{ }so_{ } used = . cc. naoh used = . cc. cc. h_{ }so_{ } = . cc. naoh normal value naoh = . n. !answer!: . cc. . one gram of a mixture of % sodium carbonate and % potassium carbonate is dissolved in water, and . cc. of . n acid is added. is the resulting solution acid or alkaline? how many cubic centimeters of . n acid or alkali will have to be added to make the solution exactly neutral? !answers!: acid; . cc. alkali. . in preparing an alkaline solution for use in volumetric work, an analyst, because of shortage of chemicals, mixed exactly . grams of pure koh and . grams of pure naoh, and after dissolving in water, diluted the solution to exactly one liter. how many cubic centimeters of . n hydrochloric acid are necessary to neutralize cc. of the basic solution? !answer!: . cc. . one gram of crude ammonium salt is treated with strong potassium hydroxide solution. the ammonia liberated is distilled and collected in cc. of . n acid and the excess titrated with . cc. of . n sodium hydroxide. calculate the percentage of nh_{ } in the sample. !answer!: . %. . in titrating solutions of alkali carbonates in the presence of phenolphthalein, the color change takes place when the carbonate has been converted to bicarbonate. in the presence of methyl orange, the color change takes place only when the carbonate has been completely neutralized. from the following data, calculate the percentages of na_{ }co_{ } and naoh in an impure mixture. weight of sample, . grams; hcl ( . n) required for phenolphthalein end-point, . cc.; hcl ( . n) required to complete the titration after adding methyl orange, . cc. !answers!: . % naoh; . % na_{ }co_{ }. . a sample of sodium carbonate containing sodium hydroxide weighs . grams. it is titrated with . n hydrochloric acid, using phenolphthalein in cold solution as an indicator and becomes colorless after the addition of . cc. methyl orange is added and . cc. are needed for complete neutralization. what is the percentage of naoh and na_{ }co_{ }? !answers!: . % naoh; . % na_{ }co_{ }. . from the following data, calculate the percentages of na_{ }co_{ } and nahco_{ } in an impure mixture. weight of sample . gram; volume of . n hydrochloric acid required for phenolphthalein end-point, . cc.; after adding an excess of acid and boiling out the carbon dioxide, the total volume of . n hydrochloric acid required for phenolphthalein end-point, . cc. !answer!: . % na_{ }co_{ }; . % nahco_{ }. . in the analysis of a one-gram sample of soda ash, what must be the normality of the acid in order that the number of cubic centimeters of acid used shall represent the percentage of carbon dioxide present? !answer!: . gram. . what weight of pearl ash must be taken for analysis in order that the number of cubic centimeters of . n acid used may be equal to one third the percentage of k_{ }co_{ }? !answer!: . grams. . what weight of cream of tartar must have been taken for analysis in order to have obtained . % khc_{ }h_{ }o_{ } in an analysis involving the following data: naoh used = . cc.; h_{ }so_{ } solution used = . cc.; cc. h_{ }so_{ } sol. = . gram caco_{ }; cc. h_{ }so_{ } sol. = . cc. naoh sol.? !answer!: . grams. . calculate the percentage of potassium oxide in an impure sample of potassium carbonate from the following data: weight of sample = . gram; hcl sol. used = . cc.; naoh sol. used = . cc.; cc. naoh sol. = . gram of khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o; cc. hcl sol. = cc. naoh sol. !answer!: . %. . calculate the percentage purity of a sample of calcite (caco_{ }) from the following data: (standardization); weight of h_{ }c_{ }o_{ }. h_{ }o = . gram; naoh solution used = . cc.; hcl solution used = . ; cc. naoh solution = . cc. hcl solution. (analysis); weight of sample . gram; hcl used = . cc.; naoh used = . cc. !answer!: . %. . it is desired to dilute a solution of hydrochloric acid to exactly . n. the following data are given: . cc. of the hydrochloric acid are equivalent to . cc. of the naoh solution. the naoh is standardized against a pure potassium tetroxalate (khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o) weighing . gram and requires . cc. how many cc. of water must be added to cc. of the aqueous hydrochloric acid? !answer!: cc. . how many cubic centimeters of n phosphoric acid must be added to cc. of . n phosphoric acid in order that the resulting solution may be . n? !answer!: cc. . to oxidize the iron in gram of feso_{ }(nh_{ })_{ }so_{ }. h_{ }o (mol. wgt. ) requires cc. of a given solution of hno_{ }. what is the normality of the nitric acid when used as an acid? feso_{ } + hno_{ } + h_{ }so_{ } = fe_{ }(so_{ })_{ } + no + h_{ }o. !answer!: . n. . the same volume of carbon dioxide at the same temperature and the same pressure is liberated from a gram sample of dolomite, by adding an excess of hydrochloric acid, as can be liberated by the addition of cc. of . n hydrochloric acid to an excess of any pure or impure carbonate. calculate the percentage of co_{ } in the dolomite. !answer!: . %. . how many cubic centimeters of sulphuric acid (sp. gr. . , containing % h_{ }so_{ } by weight) will be required to displace the chloride in the calcium chloride formed by the action of cc. of . n hydrochloric acid on an excess of calcium carbonate, and how many grams of caso_{ } will be formed? !answers!: . cc.; . gram. . potassium hydroxide which has been exposed to the air is found on analysis to contain . % water, . % k_{ }co_{ }. and % koh. what weight of residue will be obtained if one gram of this sample is added to cc. of normal hydrochloric acid and the resulting solution, after exact neutralization with . n potassium hydroxide solution, is evaporated to dryness? !answer!: . grams. . a chemist received four different solutions, with the statement that they contained either pure naoh; pure na_{ }co_{ }; pure nahco_{ }, or mixtures of these substances. from the following data identify them: sample i. on adding phenolphthalein to a solution of the substance, it gave no color to the solution. sample ii. on titrating with standard acid, it required . cc. for a change in color, using phenolphthalein, and . cc. additional, using methyl orange as an indicator. sample iii. the sample was titrated with hydrochloric acid until the pink of phenolphthalein disappeared, and on the addition of methyl orange the solution was colored pink. sample iv. on titrating with hydrochloric acid, using phenolphthalein, . cc. were required. a new sample of the same weight required exactly cc. of the same acid for neutralization, using methyl orange. !answers!: (a) nahco_{ }; (b) nahco_{ }+na_{ }co_{ }; (c)naoh; (d) na_{ }co_{ }. . in the analysis of a sample of khc_{ }h_{ }o_{ } the following data are obtained: weight sample = . gram. naoh solution used = . cc. . cc. naoh = cc. of h_{ }po_{ } solution of which cc. will precipitate . gram of magnesium as mgnh_{ }po_{ }. calculate the percentage of khc_{ }h_{ }o_{ }. !answer!: . %. . a one-gram sample of sodium hydroxide which has been exposed to the air for some time, is dissolved in water and diluted to exactly cc. one hundred cubic centimeters of the solution, when titrated with . n hydrochloric acid, using methyl orange as an indicator, requires . cc. for complete neutralization. barium chloride in excess is added to a second portion of cc. of the solution, which is diluted to exactly cc., allowed to stand and filtered. two hundred cubic centimeters of this filtrate require . cc. of . n hydrochloric acid for neutralization, using phenolphthalein as an indicator. calculate percentage of naoh, na_{ }co_{ }, and h_{ }o. !answers!: . % naoh; . % na_{ }co_{ }; . % h_{ }o. . a sodium hydroxide solution (made from solid naoh which has been exposed to the air) was titrated against a standard acid using methyl orange as an indicator, and was found to be exactly . n. this solution was used in the analysis of a material sold at cents per pound per cent of an acid constituent a, and always mixed so that it was supposed to contain % of a, on the basis of the analyst's report. owing to the carelessness of the analyst's assistant, the sodium hydroxide solution was used with phenolphthalein as an indicator in cold solution in making the analyses. the concern manufacturing this material sells tons per year, and when the mistake was discovered it was estimated that at the end of a year the error in the use of indicators would either cost them or their customers $ . who would lose and why? assuming the impure naoh used originally in making the titrating solution consisted of naoh and na_{ }co_{ } only, what per cent of each was present? !answers!: customer lost; . % na_{ }co_{ }; . % naoh. . in the standardization of a k_{ }cr_{ }o_{ } solution against iron wire, . % pure, . cc. of the solution were added. the weight of the wire used was . gram. . cc. of a ferrous sulphate solution having a normal value as a reducing agent of . were added to complete the titration. calculate the normal value of the k_{ }cr_{ }o_{ }. !answer!: . n. . what weight of iron ore containing . % fe should be taken to standardize an approximately . n oxidizing solution, if not more than cc. are to be used? !answer!: . gram. . one tenth gram of iron wire, . % pure, is dissolved in hydrochloric acid and the iron oxidized completely with bromine water. how many grams of stannous chloride are there in a liter of solution if it requires . cc. to just reduce the iron in the above? what is the normal value of the stannous chloride solution as a reducing agent? !answer!: . grams; . n. . one gram of an oxide of iron is fused with potassium acid sulphate and the fusion dissolved in acid. the iron is reduced with stannous chloride, mercuric chloride is added, and the iron titrated with a normal k_{ }cr_{ }o_{ } solution. . cc. were used. what is the formula of the oxide, feo, fe_{ }o_{ }, or fe_{ }o_{ }? !answer!: fe_{ }o_{ }. . if an element has for its atomic weight, and after reduction with stannous chloride could be oxidized by bichromate to a state corresponding to an xo_{ }^{-} anion, compute the oxide, or valence, corresponding to the reduced state from the following data: . gram of the pure element, after being dissolved, was reduced with stannous chloride and oxidized by cc. of k_{ }cr_{ }o_{ }, of which one cc. = . gram of feso_{ }(nh_{ })_{ }so_{ }. h_{ }o. !answer!: monovalent. . determine the percentage of iron in a sample of limonite from the following data: sample = . gram. kmno_{ } used = cc. cc. kmno_{ } = . gram fe. feso_{ } used = cc. cc. feso_{ } = . gram feo. !answer!: . %. . if gram of a silicate yields . gram of fe_{ }o_{ } and al_{ }o_{ } and the iron present requires cc. of . n kmno_{ }, calculate the percentage of feo and al_{ }o_{ } in the sample. !answer!: . % feo; . % al_{ }o_{ }. . a sample of magnesia limestone has the following composition: silica, . %; ferric oxide and alumina, . %; calcium oxide, . %; magnesium oxide, . %; carbon dioxide, . %. in manufacturing lime from the above the carbon dioxide is reduced to . %. how many cubic centimeters of normal kmno_{ } will be required to determine the calcium oxide volumetrically in a gram sample of the lime? !answer!: . cc. . if cc. of potassium bichromate solution ( gram k_{ }cr_{ }o_{ } per liter), cc. of n sulphuric acid, and cc. of ferrous sulphate solution ( grams feso_{ }. h_{ }o per liter) are mixed, and the resulting solution titrated with . n kmno_{ }, how many cubic centimeters of the kmno_{ } solution will be required to oxidize the iron? !answer!: . cc. . if a . gram sample of limonite containing . per cent fe_{ }o_{ } requires cc. of kmno_{ } to oxidize the iron, what is the value of cc. of the permanganate in terms of (a) fe, (b) h_{ }c_{ }o_{ }. h_{ }o? !answers!: (a) . gram; (b) . gram. . a sample of pyrolusite weighing . gram is treated with . gram of oxalic acid. the excess oxalic acid requires . cc. of permanganate ( cc. = . gram feso_{ }. h_{ }o). what is the percentage of mno_{ }, in the sample? !answer!: . %. . a solution contains grams of khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o per liter. what is the normal value of the solution (a) as an acid, and (b) as a reducing agent? !answers!: (a) . n; (b) . n. . in the analysis of an iron ore containing % fe_{ }o_{ }, a sample weighing . gram is taken and the iron is reduced with sulphurous acid. on account of failure to boil out all the excess so_{ }, . cubic centimeters of . n kmno_{ } were required to titrate the solution. what was the error, percentage error, and what weight of sulphur dioxide was in the solution? !answers!: (a) . %; (b) . %; (c) . gram. . from the following data, calculate the ratio of the nitric acid as an oxidizing agent to the tetroxalate solution as a reducing agent: cc. hno_{ } = . cc. naoh solution; cc. naoh = . cc. khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o solution; normal value naoh = . . !answer!: . . . given the following data: cc. of a hydrochloric acid, when standardized gravimetrically as silver chloride, yields a precipitate weighing . gram. . cc. of the hydrochloric acid are exactly equivalent to . cc. of khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o solution. how much water must be added to a liter of the oxalate solution to make it exactly . n as a reducing agent? !answer!: cc. . ten grams of a mixture of pure potassium tetroxalate (khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o) and pure oxalic acid (h_{ }c_{ }o_{ }. h_{ }o) are dissolved in water and diluted to exactly cc. the normal value of the oxalate solution when used as an acid is . . calculate the ratio of tetroxalate to oxalate used in making up the solution and the normal value of the solution as a reducing agent. !answers!: : ; . n. . a student standardized a solution of naoh and one of kmno_{ } against pure khc_{ }o_{ }.h_{ }c_{ }o_{ }. h_{ }o and found the former to be . n as an alkali and the latter exactly . n as an oxidizing agent. by coincidence, exactly . cc. were used in each standardization. find the ratio of the oxalate used in the naoh standardization to the oxalate used in the permanganate standardization. !answer!: : . . a sample of apatite weighing . gram is analyzed for its phosphoric anhydride content. if the phosphate is precipitated as (nh_{ })_{ }po_{ }. moo_{ }, and the precipitate (after solution and reduction of the moo_{ } to mo_{ }o_{ }), requires cc. of normal kmno_{ } to oxidize it back to moo_{ }, what is the percentage of p_{ }o_{ }? !answer!: . %. . in the analysis of a sample of steel weighing . grams the phosphorus was precipitated with ammonium molybdate and the yellow precipitate was dissolved, reduced and titrated with kmno_{ }. if the sample contained . per cent p and . cc. of kmno_{ } were used, to what oxide was the molybdenum reduced? cc. kmno_{ } = . gram na_{ }c_{ }o_{ }. !answer!: mo_{ }o_{ }. . what is the value of cc. of an iodine solution ( cc. equivalent to . gram na_{ }s_{ }o_{ }) in terms of as_{ }o_{ }? !answer!: . gram. . cc. of a solution of sodium thiosulphate are required to titrate the iodine liberated from an excess of potassium iodide solution by . gram of pure kio_{ }. (kio_{ } + ki + h_{ }so_{ } = k_{ }so_{ } + i_{ } + h_{ }o.) what is the normal strength of the sodium thiosulphate and the value of cc. of it in terms of iodine? !answers!: . n; . gram. . one thousand cubic centimeters of . n sodium thiosulphate solution is allowed to stand. one per cent by weight of the thiosulphate is decomposed by the carbonic acid present in the solution. to what volume must the solution be diluted to make it exactly . n as a reducing agent? (na_{ }s_{ }o_{ } + h_{ }co_{ } = h_{ }so_{ } + nahco_{ } + s.) !answer!: cc. . an analyzed sample of stibnite containing . % sb is given for analysis. a student titrates it with a solution of iodine of which cc. is equivalent to . gram of as_{ }o_{ }. due to an error on his part in standardization, the student's analysis shows the sample to contain . % sb. calculate the true normal value of the iodine solution, and the percentage error in the analysis. !answers!: . n; . %. . a sample of pyrolusite weighing . gram is treated with an excess of hydrochloric acid, the liberated chlorine is passed into potassium iodide and the liberated iodine is titrated with sodium thiosulphate solution ( . grams of pure na_{ }s_{ }o_{ }. h_{ }o per liter). if . cc. are required, what volume of . normal permanganate solution will be required in an indirect determination in which a similar sample is reduced with . gram h_{ }c_{ }o_{ }. h_{ }o and the excess oxalic acid titrated? !answer!: . cc. . in the determination of sulphur in steel by evolving the sulphur as hydrogen sulphide, precipitating cadmium sulphide by passing the liberated hydrogen sulphide through ammoniacal cadmium chloride solution, and decomposing the cds with acid in the presence of a measured amount of standard iodine, the following data are obtained: sample, . grams; cc. na_{ }s_{ }o_{ } sol. = . ; cc. iodine sol. = . ; cc. iodine sol. = . cc. na_{ }s_{ }o_{ } sol.; cc. na_{ }s_{ }o_{ }= . gram cu. calculate the percentage of sulphur. (h_{ }s + i_{ } = hi + s.) !answer!: . %. . given the following data, calculate the percentage of iron in a sample of crude ferric chloride weighing . gram. the iodine liberated by the reaction fecl_{ }+ hi = hcl + fecl_{ } + i_{ } is reduced by the addition of cc. of sodium thiosulphate solution and the excess thiosulphate is titrated with standard iodine and requires . cc. cc. i_{ } solution = . cc. na_{ }s_{ }o_{ } solution; cc. as_{ }o_{ } solution = . cc. i_{ } solution. cc. arsenite solution = . gram as_{ }o_{ }. !answer!: . %. . sulphide sulphur was determined in a sample of reduced barium sulphate by the evolution method, in which the sulphur was evolved as hydrogen sulphide and was passed into cdcl_{ } solution, the acidified precipitate being titrated with iodine and thiosulphate. sample, . grams; cc. i_{ } = . ; cc. na_{ }s_{ }o_{ } = . ; . cc. na_{ }s_{ }o_{ } = . cc. i_{ }; . cc. kmno_{ } = . cc. na_{ }s_{ }o_{ }; . cc. kmno_{ } = . gram na_{ }c_{ }o_{ }. calculate the percentage of sulphide sulphur in the sample. !answer!: . %. . what weight of pyrolusite containing . % mno_{ } will oxidize the same amount of oxalic acid as . cc. of a permanganate solution, of which cc. will liberate . gram of i_{ } from ki? !answer!: . gram. . a sample of pyrolusite weighs . gram and is . % pure mno_{ }. the iodine liberated from ki by the manganese dioxide is sufficient to react with . cc. of na_{ }s_{ }o_{ } sol. what is the normal value of the thiosulphate? !answer!:: . n. . in the volumetric analysis of silver coin ( % ag), using a . gram sample, what is the least normal value that a potassium thiocyanate solution may have and not require more than cc. of solution in the analysis? !answer!: . n. . a mixture of pure lithium chloride and barium bromide weighing . gram is treated with . cubic centimeters of . n silver nitrate, and the excess titrated with cc. of . n kscn solution, using ferric alum as an indicator. calculate the percentage of bromine in the sample. !answer!: . %. . a mixture of the chlorides of sodium and potassium from . gram of a feldspar weighs . gram, and after solution in water requires . cc. of . n silver nitrate for the precipitation of the chloride ions. what are the percentages of na_{ }o and k_{ }o in the feldspar? !answer!: . % na_{ }o; . % k_{ }o. gravimetric analysis . calculate (a) the grams of silver in one gram of silver chloride; (b) the grams of carbon dioxide liberated by the addition of an excess of acid to one gram of calcium carbonate; (c) the grams of mgcl_{ } necessary to precipitate gram of mgnh_{ }po_{ }. !answers!: (a) . ; (b) . ; (c) . . . calculate the chemical factor for (a) sn in sno_{ }; (b) mgo in mg_{ }p_{ }o_{ }; (c) p_{ }o_{ } in mg_{ }p_{ }o_{ }; (d) fe in fe_{ }o_{ }; (e) so_{ } in baso_{ }. !answers!: (a) . ; (b) . ; (c) . ; (d) . ; (e) . . . calculate the log factor for (a) pb in pbcro_{ }; (b) cr_{ }o_{ } in pbcro_{ }; (c) pb in pbo_{ } and (d) cao in cac_{ }o_{ }. !answers!: (a) . - , (b) . - ; (c) . - ; (d) . - . . how many grams of mn_{ }o_{ } can be obtained from gram of mno_{ }? !answer!: . gram. . if a sample of silver coin weighing . gram gives a precipitate of agcl weighing . gram, what weight of agi could have been obtained from the same weight of sample, and what is the percentage of silver in the coin? !answers!: . gr.; . %. . how many cubic centimeters of hydrochloric acid (sp. gr. . containing . % hcl by weight) are required to exactly neutralize cc. of ammonium hydroxide (sp. gr. . containing . % nh_{ } by weight)? !answer!: . cc. . how many cubic centimeters of ammonium hydroxide solution (sp. gr. . containing . % nh_{ } by weight) are required to precipitate the aluminium as aluminium hydroxide from a two-gram sample of alum (kal(so_{ })_{ }. h_{ }o)? what will be the weight of the ignited precipitate? !answers!: . cc.; . gram. . what volume of nitric acid (sp. gr. . containing . % hno_{ } by weight) is required to oxidize the iron in one gram of feso_{ }. h_{ }o in the presence of sulphuric acid? feso_{ } + hno_{ } + h_{ }so_{ } = fe_{ }(so_{ })_{ } + no + h_{ }o. !answer!: . cc. . if . gram of ferric nitrate (fe(no_{ })_{ }. h_{ }o) is dissolved in water and . cc. of hcl (sp. gr. . containing . % hcl by weight) is added, how many cubic centimeters of ammonia (sp. gr. . containing . % nh_{ } by weight) are required to neutralize the acid and precipitate the iron as ferric hydroxide? !answer!: . cc. . to a suspension of . gram of al(oh)_{ } in water are added . cc. of aqueous ammonia (sp. gr. . containing . % nh_{ } by weight). how many cubic centimeters of sulphuric acid (sp. gr. . containing . % h_{ }so_{ } by weight) must be added to the mixture in order to bring the aluminium into solution? !answer!: . cc. . how many cubic centimeters of sulphurous acid (sp. gr. . containing grams so_{ } per liter) are required to reduce the iron in gram of ferric alum (kfe(so_{ })_{ }. h_{ }o)? fe_{ }(so_{ })_{ } + so_{ } + h_{ }o = feso_{ } + h_{ }so_{ }. !answer!: . cc. . how many cubic centimeters of a solution of potassium bichromate containing . grams of k_{ }cr_{ }o_{ } per liter must be taken in order to yield . gram of cr_{ }o_{ } after reduction and precipitation of the chromium? k_{ }cr_{ }o_{ } + so_{ } + h_{ }so_{ } = k_{ }so_{ } + cr_{ }(so_{ })_{ } + h_{ }o. !answer!: . cc. . how many cubic centimeters of ammonium hydroxide (sp. gr. . containing . % nh_{ } by weight) are required to precipitate the iron as fe(oh)_{ } from a sample of pure feso_{ }.(nh_{ })_{ }so_{ }. h_{ }o, which requires . cc. of nitric acid (sp. gr. . containing . % hno_{ } by weight) for oxidation of the iron? (see problem no. for reaction.) !answer!: . cc. . in the analysis of an iron ore by solution, oxidation and precipitation of the iron as fe(oh)_{ }, what weight of sample must be taken for analysis so that each one hundredth of a gram of the ignited precipitate of fe_{ }o_{ } shall represent one tenth of one per cent of iron? !answer!: . grams. . what weight in grams of impure ferrous ammonium sulphate should be taken for analysis so that the number of centigrams of baso_{ } obtained will represent five times the percentage of sulphur in the sample? !answer!: . gram. . what weight of magnetite must be taken for analysis in order that, after precipitating and igniting all the iron to fe_{ }o_{ }, the percentage of fe_{ }o_{ } in the sample may be found by multiplying the weight in grams of the ignited precipitate by ? !answer!: . gram. . after oxidizing the arsenic in . gram of pure as_{ }s_{ } to arsenic acid, it is precipitated with "magnesia mixture" (mgcl_{ } + nh_{ }cl). if exactly . cc. of the mixture are required, how many grams of mgcl_{ } per liter does the solution contain? h_{ }aso_{ } + mgcl_{ } + nh_{ }oh = mgnh_{ }aso_{ } + nh_{ }cl + h_{ }o. !answer!: . grams. . a sample is prepared for student analysis by mixing pure apatite (ca_{ }(po_{ })_{ }.cacl_{ }) with an inert material. if gram of the sample gives . gram of mg_{ }p_{ }o_{ }, how many cubic centimeters of ammonium oxalate solution (containing grams of (nh_{ })_{ }c_{ }o_{ }.h_{ }o per liter) would be required to precipitate the calcium from the same weight of sample? !answer!: . cc. . if . gram of a mixture of pure magnesium carbonate and pure calcium carbonate, when treated with an excess of hydrochloric acid, yields . gram of carbon dioxide, calculate the percentage of magnesium oxide and of calcium oxide in the sample. !answers!: . % mgo; . % cao. . the calcium in a sample of dolomite weighing . gram is precipitated as calcium oxalate and ignited to calcium oxide. what volume of gas, measured over water at °c. and mm. pressure, is given off during ignition, if the resulting oxide weighs . gram? (g.m.v. = . liters; v.p. water at °c. = . mm.) !answer!: cc. . a limestone is found to contain . % caco_{ }, and . % mgco_{ }. calculate the weight of cao obtainable from tons of the limestone, assuming complete conversion to oxide. what weight of mg_{ }p_{ }o_{ } could be obtained from a -gram sample of the limestone? !answers!: . tons; . gram. . a sample of dolomite is analyzed for calcium by precipitating as the oxalate and igniting the precipitate. the ignited product is assumed to be cao and the analyst reports . % ca in the sample. owing to insufficient ignition, the product actually contained % of its weight of caco_{ }. what is the correct percentage of calcium in the sample, and what is the percentage error? !answers!: . %; . % error. . what weight of impure calcite (caco_{ }) should be taken for analysis so that the volume in cubic centimeters of co_{ } obtained by treating with acid, measured dry at °c. and mm., shall equal the percentage of cao in the sample? !answer!: . gram. . how many cubic centimeters of hno_{ } (sp. gr. . containing . % hno_{ } by weight) are required to dissolve grams of brass, containing . % pb, . % zn, and % cu, assuming reduction of the nitric acid to no by each constituent? what fraction of this volume of acid is used for oxidation? !answers!: . cc.; %. . what weight of metallic copper will be deposited from a cupric salt solution by a current of . amperes during a period of minutes, assuming % current efficiency? ( faraday = , coulombs.) !answer!: . grams. . in the electrolysis of a . gram sample of brass, there is obtained . gram of pbo_{ }, and a deposit of metallic copper exactly equal in weight to the ignited precipitate of zn_{ }p_{ }o_{ } subsequently obtained from the solution. what is the percentage composition of the brass? !answers!: . % cu; . % zn; . % pb. . a sample of brass ( . % cu; . % pb and . % zn) weighing . gram is dissolved in nitric acid. the lead is determined by weighing as pbso_{ }, the copper by electrolysis and the zinc by precipitation with (nh_{ })_{ }hpo_{ } in a neutral solution. (a) calculate the cubic centimeters of nitric acid (sp. gr. . containing . % hno_{ } by weight) required to just dissolve the brass, assuming reduction to no. !answer!: . cc. (b) calculate the cubic centimeters of sulphuric acid (sp. gr. . containing % h_{ }so_{ } by weight) to displace the nitric acid. !answer!: . cc. (c) calculate the weight of pbso_{ }. !answer!: . gram. (d) the clean electrode weighs . grams. calculate the weight after the copper has been deposited. !answer!: . grams. (e) calculate the grams of (nh_{ })_{ }hpo_{ } required to precipitate the zinc as znnh_{ }po_{ }. !answer!: . gram. (f) calculate the weight of ignited zn_{ }p_{ }o_{ }. !answer!: . gram. . if in the analysis of a brass containing . % zinc an error is made in weighing a . gram portion by which . gram too much is weighed out, what percentage error in the zinc determination would result? what volume of a solution of sodium hydrogen phosphate, containing grams of na_{ }hpo_{ }. h_{ }o per liter, would be required to precipitate the zinc as znnh_{ }po_{ } and what weight of precipitate would be obtained? !answers!: (a) . % error; (b) . cc.; (c) . grams. . a sample of magnesium carbonate, contaminated with sio_{ } as its only impurity, weighs . gram and loses . gram on ignition. what volume of disodium phosphate solution (containing grams na_{ }hpo_{ }. h_{ }o per liter) will be required to precipitate the magnesium as magnesium ammonium phosphate? !answer!: . cc. . . cubic centimeters of nitric acid (sp. gr. . containing . % hno_{ } by weight) are required to just dissolve a sample of brass containing . % cu; . % pb; . % fe; and . % zn. assuming the acid used as oxidizing agent was reduced to no in every case, calculate the weight of the brass and the cubic centimeters of acid used as acid. !answer!: . gram; . cc. . one gram of a mixture of silver chloride and silver bromide is found to contain . gram of silver. what is the percentage of bromine? !answer!: . %. . a precipitate of silver chloride and silver bromide weighs . gram. on heating in a current of chlorine, the silver bromide is converted to silver chloride, and the mixture loses . gram in weight. calculate the percentage of chlorine in the original precipitate. !answer!: . %. . a sample of feldspar weighing . gram is fused and the silica determined. the weight of silica is . gram. this is fused with grams of sodium carbonate. how many grams of the carbonate actually combined with the silica in fusion, and what was the loss in weight due to carbon dioxide during the fusion? !answers!: . grams; . gram. . a mixture of barium oxide and calcium oxide weighing . grams is transformed into mixed sulphates, weighing . grams. calculate the grams of calcium oxide and barium oxide in the mixture. !answers!: . grams cao; . gram bao. appendix electrolytic dissociation theory the following brief statements concerning the ionic theory and a few of its applications are intended for reference in connection with the explanations which are given in the notes accompanying the various procedures. the reader who desires a more extended discussion of the fundamental theory and its uses is referred to such books as talbot and blanchard's !electrolytic dissociation theory! (macmillan company), or alexander smith's !introduction to general inorganic chemistry! (century company). the !electrolytic dissociation theory!, as propounded by arrhenius in , assumes that acids, bases, and salts (that is, electrolytes) in aqueous solution are dissociated to a greater or less extent into !ions!. these ions are assumed to be electrically charged atoms or groups of atoms, as, for example, h^{+} and br^{-} from hydrobromic acid, na^{+} and oh^{-} from sodium hydroxide, nh_{ }^{+} and so_{ }^{--} from ammonium sulphate. the unit charge is that which is dissociated with a hydrogen ion. those upon other ions vary in sign and number according to the chemical character and valence of the atoms or radicals of which the ions are composed. in any solution the aggregate of the positive charges upon the positive ions (!cations!) must always balance the aggregate negative charges upon the negative ions (!anions!). it is assumed that the na^{+} ion, for example, differs from the sodium atom in behavior because of the very considerable electrical charge which it carries and which, as just stated, must, in an electrically neutral solution, be balanced by a corresponding negative charge on some other ion. when an electric current is passed through a solution of an electrolyte the ions move with and convey the current, and when the cations come into contact with the negatively charged cathode they lose their charges, and the resulting electrically neutral atoms (or radicals) are liberated as such, or else enter at once into chemical reaction with the components of the solution. two ions of identically the same composition but with different electrical charges may exhibit widely different properties. for example, the ion mno_{ }^{-} from permanganates yields a purple-red solution and differs in its chemical behavior from the ion mno_{ }^{--} from manganates, the solutions of which are green. the chemical changes upon which the procedures of analytical chemistry depend are almost exclusively those in which the reacting substances are electrolytes, and analytical chemistry is, therefore, essentially the chemistry of the ions. the percentage dissociation of the same electrolyte tends to increase with increasing dilution of its solution, although not in direct proportion. the percentage dissociation of different electrolytes in solutions of equivalent concentrations (such, for example, as normal solutions) varies widely, as is indicated in the following tables, in which approximate figures are given for tenth-normal solutions at a temperature of about °c. acids ========================================================================= | substance | percentage dissociation in | . equivalent solution _____________________________________________|___________________________ | hcl, hbr, hi, hno_{ } | | hclo_{ }, hclo_{ }, hmno_{ } | | h_{ }so_{ } <--> h^{+} + hso_{ }^{-} | | h_{ }c_{ }o_{ } <--> h^{+} + hc_{ }o_{ }^{-} | | h_{ }so_{ } <--> h^{+} + hso{_} ^{-} | | h_{ }po_{ } <--> h^{+} + h_{ }po_{ }^{-} | | h_{ }po_{ }^{-} <--> h^{+} + hpo_{ }^{--} | . | h_{ }aso_{ } <--> h^{+} + h_{ }aso_{ }^{-} | | hf | | hc_{ }h_{ }o_{ } | . | h_{ }co_{ } <--> h^{+} + hco_{ }^{-} | . | h_{ }s <--> h^{+} + hs^{-} | . | hcn | . | ========================================================================= bases ========================================================================= | substance | percentage dissociation in | . equivalent solution _____________________________________________|___________________________ | koh, naoh | | ba(oh)_{ } | | nh_{ }oh | . | ========================================================================= salts ========================================================================= | type of salt | percentage dissociation in | . equivalent solution _____________________________________________|___________________________ | r^{+}r^{-} | | r^{++}(r^{-})_{ } | | (r^{+})_{ }r^{--} | | r^{++}r^{--} | | ========================================================================= the percentage dissociation is determined by studying the electrical conductivity of the solutions and by other physico-chemical methods, and the following general statements summarize the results: !salts!, as a class, are largely dissociated in aqueous solution. !acids! yield h^{+} ions in water solution, and the comparative !strength!, that is, the activity, of acids is proportional to the concentration of the h^{+} ions and is measured by the percentage dissociation in solutions of equivalent concentration. the common mineral acids are largely dissociated and therefore give a relatively high concentration of h^{+} ions, and are commonly known as "strong acids." the organic acids, on the other hand, belong generally to the group of "weak acids." !bases! yield oh^{-} ions in water solution, and the comparative strength of the bases is measured by their relative dissociation in solutions of equivalent concentration. ammonium hydroxide is a weak base, as shown in the table above, while the hydroxides of sodium and potassium exhibit strongly basic properties. ionic reactions are all, to a greater or less degree, !reversible reactions!. a typical example of an easily reversible reaction is that representing the changes in ionization which an electrolyte such as acetic acid undergoes on dilution or concentration of its solutions, !i.e.!, hc_{ }h_{ }o_{ } <--> h^{+} + c_{ }h_{ }o_{ }^{-}. as was stated above, the ionization increases with dilution, the reaction then proceeding from left to right, while concentration of the solution occasions a partial reassociation of the ions, and the reaction proceeds from right to left. to understand the principle underlying these changes it is necessary to consider first the conditions which prevail when a solution of acetic acid, which has been stirred until it is of uniform concentration throughout, has come to a constant temperature. a careful study of such solutions has shown that there is a definite state of equilibrium between the constituents of the solution; that is, there is a definite relation between the undissociated acetic acid and its ions, which is characteristic for the prevailing conditions. it is not, however, assumed that this is a condition of static equilibrium, but rather that there is continual dissociation and association, as represented by the opposing reactions, the apparent condition of rest resulting from the fact that the amount of change in one direction during a given time is exactly equal to that in the opposite direction. a quantitative study of the amount of undissociated acid, and of h^{+} ions and c_{ }h_{ }o_{ }^{-} ions actually to be found in a large number of solutions of acetic acid of varying dilution (assuming them to be in a condition of equilibrium at a common temperature), has shown that there is always a definite relation between these three quantities which may be expressed thus: (!conc'n h^{+} x conc'n c_{ }h_{ }o_{ }^{-})/conc'n hc_{ }h_{ }o_{ } = constant!. in other words, there is always a definite and constant ratio between the product of the concentrations of the ions and the concentration of the undissociated acid when conditions of equilibrium prevail. it has been found, further, that a similar statement may be made regarding all reversible reactions, which may be expressed in general terms thus: the rate of chemical change is proportional to the product of the concentrations of the substances taking part in the reaction; or, if conditions of equilibrium are considered in which, as stated, the rate of change in opposite directions is assumed to be equal, then the product of the concentrations of the substances entering into the reaction stands in a constant ratio to the product of the concentrations of the resulting substances, as given in the expression above for the solutions of acetic acid. this principle is called the !law of mass action!. it should be borne in mind that the expression above for acetic acid applies to a wide range of dilutions, provided the temperature remains constant. if the temperature changes the value of the constant changes somewhat, but is again uniform for different dilutions at that temperature. the following data are given for temperatures of about °c.[ ] ========================================================================== | | | | molal | fraction | molal concentra- | molal concentra- | value of concentration | ionized | tion of h^{+} and| tion of undis- | constant constant | | acetate^{-} ions | sociated acid | ______________|__________|__________________|__________________|__________ | | | | . | . | . | . | . | | | | . | . | . | . | . | | | | . | . | . | . | . | | | | =========================================================================== [footnote : alexander smith, !general inorganic chemistry!, p. .] the molal concentrations given in the table refer to fractions of a gram-molecule per liter of the undissociated acid, and to fractions of the corresponding quantities of h^{+} and c_{ }h_{ }o_{ }^{-} ions per liter which would result from the complete dissociation of a gram-molecule of acetic acid. the values calculated for the constant are subject to some variation on account of experimental errors in determining the percentage ionized in each case, but the approximate agreement between the values found for molal and centimolal (one hundredfold dilution) is significant. the figures given also illustrate the general principle, that the !relative! ionization of an electrolyte increases with the dilution of its solution. if we consider what happens during the (usually) brief period of dilution of the solution from molal to . molal, for example, it will be seen that on the addition of water the conditions of concentration which led to equality in the rate of change, and hence to equilibrium in the molal solution, cease to exist; and since the dissociating tendency increases with dilution, as just stated, it is true at the first instant after the addition of water that the concentration of the undissociated acid is too great to be permanent under the new conditions of dilution, and the reaction, hc_{ }h_{ }o_{ } <--> h^{+} + c_{ }h_{ }o_{ }^{-}, will proceed from left to right with great rapidity until the respective concentrations adjust themselves to the new conditions. that which is true of this reaction is also true of all reversible reactions, namely, that any change of conditions which occasions an increase or a decrease in concentration of one or more of the components causes the reaction to proceed in one direction or the other until a new state of equilibrium is established. this principle is constantly applied throughout the discussion of the applications of the ionic theory in analytical chemistry, and it should be clearly understood that whenever an existing state of equilibrium is disturbed as a result of changes of dilution or temperature, or as a consequence of chemical changes which bring into action any of the constituents of the solution, thus altering their concentrations, there is always a tendency to re-establish this equilibrium in accordance with the law. thus, if a base is added to the solution of acetic acid the h^{+} ions then unite with the oh^{-} ions from the base to form undissociated water. the concentration of the h^{+} ions is thus diminished, and more of the acid dissociates in an attempt to restore equilbrium, until finally practically all the acid is dissociated and neutralized. similar conditions prevail when, for example, silver ions react with chloride ions, or barium ions react with sulphate ions. in the former case the dissociation reaction of the silver nitrate is agno_{ } <--> ag^{+} + no_{ }^{-}, and as soon as the ag^{+} ions unite with the cl^{-} ions the concentration of the former is diminished, more of the agno_{ } dissociates, and this process goes on until the ag^{+} ions are practically all removed from the solution, if the cl^{-} ions are present in sufficient quantity. for the sake of accuracy it should be stated that the mass law cannot be rigidly applied to solutions of those electrolytes which are largely dissociated. while the explanation of the deviation from quantitative exactness in these cases is not known, the law is still of marked service in developing analytical methods along more logical lines than was formerly practicable. it has not seemed wise to qualify each statement made in the notes to indicate this lack of quantitative exactness. the student should recognize its existence, however, and will realize its significance better as his knowledge of physical chemistry increases. if we apply the mass law to the case of a substance of small solubility, such as the compounds usually precipitated in quantitative analysis, we derive what is known as the !solubility product!, as follows: taking silver chloride as an example, and remembering that it is not absolutely insoluble in water, the equilibrium expression for its solution is: (!conc'n ag^{+} x conc'n cl^{-})/conc'n agcl = constant!. but such a solution of silver chloride which is in contact with the solid precipitate must be saturated for the existing temperature, and the quantity of undissociated agcl in the solution is definite and constant for that temperature. since it is a constant, it may be eliminated, and the expression becomes !conc'n ag^{+} x conc'n cl^{-} = constant!, and this is known as the solubility product. no precipitation of a specific substance will occur until the product of the concentrations of its ions in a solution exceeds the solubility product for that substance; whenever that product is exceeded precipitation must follow. it will readily be seen that if a substance which yields an ion in common with the precipitated compound is added to such a solution as has just been described, the concentration of that ion is increased, and as a result the concentration of the other ion must proportionately decrease, which can only occur through the formation of some of the undissociated compound which must separate from the already saturated solution. this explains why the addition of an excess of the precipitant is often advantageous in quantitative procedures. such a case is discussed at length in note on page . similarly, the ionization of a specific substance in solution tends to diminish on the addition of another substance with a common ion, as, for instance, the addition of hydrochloric acid to a solution of hydrogen sulphide. hydrogen sulphide is a weak acid, and the concentration of the hydrogen ions in its aqueous solutions is very small. the equilibrium in such a solution may be represented as: (!(conc'n h^{+})^{ } x conc'n s^{--})/conc'n h_{ }s = constant!, and a marked increase in the concentration of the h^{+} ions, such as would result from the addition of even a small amount of the highly ionized hydrochloric acid, displaces the point of equilibrium and some of the s^{--} ions unite with h^{+} ions to form undissociated h_{ }s. this is of much importance in studying the reactions in which hydrogen sulphide is employed, as in qualitative analysis. by a parallel course of reasoning it will be seen that the addition of a salt of a weak acid or base to solutions of that acid or base make it, in effect, still weaker because they decrease its percentage ionization. to understand the changes which occur when solids are dissolved where chemical action is involved, it should be remembered that no substance is completely insoluble in water, and that those products of a chemical change which are least dissociated will first form. consider, for example, the action of hydrochloric acid upon magnesium hydroxide. the minute quantity of dissolved hydroxide dissociates thus: mg(oh)_{ } <--> mg^{++} + oh^{-}. when the acid is introduced, the h^{+} ions of the acid unite with the oh^{-} ions to form undissociated water. the concentration of the oh^{-} ions is thus diminished, more mg(oh)_{ } dissociates, the solution is no longer saturated with the undissociated compound, and more of the solid dissolves. this process repeats itself with great rapidity until, if sufficient acid is present, the solid passes completely into solution. exactly the same sort of process takes place if calcium oxalate, for example, is dissolved in hydrochloric acid. the c_{ }o_{ }^{--} ions unite with the h^{+} ions to form undissociated oxalic acid, the acid being less dissociated than normally in the presence of the h^{+} ions from the hydrochloric acid (see statements regarding hydrogen sulphide above). as the undissociated oxalic acid forms, the concentration of the c_{ }o_{ }^{--} ions lessens and more cac_{ }o_{ } dissolves, as described for the mg(oh)_{ } above. numerous instances of the applications of these principles are given in the notes. water itself is slightly dissociated, and although the resulting h^{+} and oh^{-} ions are present only in minute concentrations ( mol. of dissociated water in ^{ } liters), yet under some conditions they may give rise to important consequences. the term !hydrolysis! is applied to the changes which result from the reaction of these ions. any salt which is derived from a weak base or a weak acid (or both) is subject to hydrolytic action. potassium cyanide, for example, when dissolved in water gives an alkaline solution because some of the h^{+} ions from the water unite with cn^{-} ions to form (hcn), which is a very weak acid, and is but very slightly dissociated. potassium hydroxide, which might form from the oh^{-} ions, is so largely dissociated that the oh^{-} ions remain as such in the solution. the union of the h^{+} ions with the cn^{-} ions to form the undissociated hcn diminishes the concentration of the h^{+} ions, and more water dissociates (h_{ }o <--> h^{+} + oh^{-}) to restore the equilibrium. it is clear, however, that there must be a gradual accumulation of oh^{-} ions in the solution as a result of these changes, causing the solution to exhibit an alkaline reaction, and also that ultimately the further dissociation of the water will be checked by the presence of these ions, just as the dissociation of the h_{ }s was lessened by the addition of hcl. an exactly opposite result follows the solution of such a salt as al_{ }(so_{ })_{ } in water. in this case the acid is strong and the base weak, and the oh^{-} ions form the little dissociated al(oh)_{ }, while the h^{+} ions remain as such in the solution, sulphuric acid being extensively dissociated. the solution exhibits an acid reaction. such hydrolytic processes as the above are of great importance in analytical chemistry, especially in the understanding of the action of indicators in volumetric analysis. (see page .) the impelling force which causes an element to pass from the atomic to the ionic condition is termed !electrolytic solution pressure!, or ionization tension. this force may be measured in terms of electrical potential, and the table below shows the relative values for a number of elements. in general, an element with a greater solution pressure tends to cause the deposition of an element of less solution pressure when placed in a solution of its salt, as, for instance, when a strip of zinc or iron is placed in a solution of a copper salt, with the resulting precipitation of metallic copper. hydrogen is included in the table, and its position should be noted with reference to the other common elements. for a more extended discussion of this topic the student should refer to other treatises. potential series of the metals __________________________________________________________________ | | | | potential | | potential | in volts | | in volts _____________________|___________|____________________|___________ | | | sodium na^{+} | + . | lead pb^{++} | - . calcium ca^{++} | | hydrogen h^{+} | - . magnesium mg^{++} | | bismuth bi^{+++}| aluminum a ^{+++} | + . | antimony | - . manganese mn^{++} | | arsenic | zinc zn^{++} | + . | copper cu^{++} | - . cadmium cd^{++} | + . | mercury hg^{+} | - . iron fe^{++} | + . | silver ag^{+} | - . cobalt co^{++} | - . | platinum | nickel ni^{++} | - . | gold | tin sn^{++} | - . (?) | | _____________________|___________|____________________|__________ the folding of a filter paper if a filter paper is folded along its diameter, and again folded along the radius at right angles to the original fold, a cone is formed on opening, the angle of which is °. funnels for analytical use are supposed to have the same angle, but are rarely accurate. it is possible, however, with care, to fit a filter thus folded into a funnel in such a way as to prevent air from passing down between the paper and the funnel to break the column of liquid in the stem, which aids greatly, by its gentle suction, in promoting the rate of filtration. such a filter has, however, the disadvantage that there are three thicknesses of paper back of half of its filtering surface, as a consequence of which one half of a precipitate washes or drains more slowly. much time may be saved in the aggregate by learning to fold a filter in such a way as to improve its effective filtering surface. the directions which follow, though apparently complicated on first reading, are easily applied and easily remembered. use a -inch filter for practice. place four dots on the filter, two each on diameters which are at right angles to each other. then proceed as follows: ( ) fold the filter evenly across one of the diameters, creasing it carefully; ( ) open the paper, turn it over, rotate it ° to the right, bring the edges together and crease along the other diameter; ( ) open, and rotate ° to the right, bring edges together, and crease evenly; ( ) open, and rotate ° to the right, and crease evenly; ( ) open, turn the filter over, rotate -( / )° to the right, and crease evenly; ( ) open, rotate ° to the right and crease evenly; ( ) open, rotate ° to the right and crease evenly; ( ) open, rotate ° to the right and crease evenly; ( ) open the filter, and, starting with one of the dots between thumb and forefinger of the right hand, fold the second crease to the left over on it, and do the same with each of the other dots. place it, thus folded, in the funnel, moisten it, and fit to the side of the funnel. the filter will then have four short segments where there are three thicknesses and four where there is one thickness, but the latter are evenly distributed around its circumference, thus greatly aiding the passage of liquids through the paper and hastening both filtration and washing of the whole contents of the filter. !sample pages for laboratory records! !page a! date calibration of burette no. ___________________________________________________________________________ | | | | burette | difference | observed | difference | calculated readings | | weights | | correction _______________|______________|______________|______________|______________ . | | . | | . | . | . | . | -. . | . | . | . | -. . | . | . | . | +. . | . | . | . | -. . | . | . | . | +. _______________|______________|______________|______________|______________ these data to be obtained in duplicate for each burette. !page b! date determination of comparative strength hcl vs. naoh ___________________________________________________________________________ | | determination | i | ii _________________________|________________________|________________________ | | | corrected | corrected final reading hcl | . . | . . initial reading hcl | . . | . . | ----- ----- | ----- ----- | . | . | | | corrected | corrected final reading hcl | . . | . . initial reading hcl | . . | . . | ----- ----- | ----- ----- | . | . | | log cc. naoh | . | . colog cc. hcl | . | . | ------ | ------ | . - | . - cc. hcl | . cc. naoh | . cc. naoh mean | . | _________________________|________________________|________________________ signed !page c! date standardization of hydrochloric acid ===================================================================== | | weight sample and tube| . | . | . | . | ------ | ------ weight sample | . | . | | final reading hcl | . . | . . initial reading hcl | . . | . . | ----- ----- | ----- ----- | . | . | | final reading naoh | . . | . . initial reading naoh | . . | . . | --- --- | --- --- | . | . | | | . | . corrected cc. hcl | . - ----- = . | . - ----- = . | . | . | | log sample | . | . colog cc | . - | . - colog milli equivalent| . | . | ------ | ------ | . - | . - | | normal value hcl | . | . mean | . | | | ===================================================================== signed !page d! date determination of chlorine in chloride, sample no. ===================================================================== | | weight sample and tube| . | . | . | . | ------- | ------- weight sample | . | . | | weight crucible | | + precipitate | . | . constant weights | . | . | . | | | weight crucible | . | . constant weight | . | . | | weight agcl | . | . | | log cl | . | . log weight agcl | . - | . - log | . | . colog agcl | . - | . - colog sample | . | . | ------- | ------- | . | . | | cl in sample no. | . % | . % | | ===================================================================== signed strength of reagents the concentrations given in this table are those suggested for use in the procedures described in the foregoing pages. it is obvious, however, that an exact adherence to these quantities is not essential. approx. approx. grams relation relation per to normal to molal liter. solution solution ammonium oxalate, (nh_{ })_{ }c_{ }o_{ }.h_{ }o . n . barium chloride, bacl_{ }. h_{ }o . n . magnesium ammonium chloride (of mgcl_{ }) . n . mercuric chloride, hgcl_{ } . n . potassium hydroxide, koh (sp. gr. . ) potassium thiocyanate, kscn . n . silver nitrate, agno_{ } . n . sodium hydroxide, naoh . n . sodium carbonate. na_{ }co_{ } n . sodium phosphate, na_{ }hpo_{ }. h_{ }o . n or . n . stannous chloride, sncl_{ }, made by saturating hydrochloric acid (sp. gr. . ) with tin, diluting with an equal volume of water, and adding a slight excess of acid from time to time. a strip of metallic tin is kept in the bottle. a solution of ammonium molybdate is best prepared as follows: stir grams of molybdic acid (moo_{ }) into cc. of cold, distilled water. add cc. of concentrated ammonium hydroxide (sp. gr. . ). filter, and pour the filtrate slowly, with constant stirring, into a mixture of cc. concentrated nitric acid (sp. gr. . ) and cc. of water. add to the mixture about . gram of microcosmic salt. filter, after allowing the whole to stand for hours. the following data regarding the common acids and aqueous ammonia are based upon percentages given in the standard tables of the manufacturing chemists' association of the united states [!j.s.c.i.!, ( ), - ]. all gravities are taken at . °c. and compared with water at the same temperature. aqueous ammonia (sp. gr. . ) contains . per cent nh_{ } by weight, and corresponds to a . n and . molal solution. aqueous ammonia (sp. gr. . ) contains . per cent nh_{ } by weight, and corresponds to a . n and . molal solution. hydrochloric acid (sp. gr. . ) contains . per cent hcl by weight, and corresponds to a . n and . molal solution. hydrochloric acid (sp. gr. . ) contains . per cent hcl by weight, and corresponds to a . n and . molal solution. nitric acid (sp. gr. . ) contains . per cent hno_{ } by weight, and corresponds to a . n and . molal solution: nitric acid (sp. gr. . ) contains . per cent hno_{ } by weight, and corresponds to a . n and . molal solution. sulphuric acid (sp. gr. . ) contains . per cent h_{ }so_{ } by weight, and corresponds to a . n or . molal solution. sulphuric acid (sp. gr. . ) contains . per cent h_{ }so_{ } by weight, and corresponds to a . n or . molal solution. the term !normal! (n), as used above, has the same significance as in volumetric analyses. the molal solution is assumed to contain one molecular weight in grams in a liter of solution. densities and volumes of water at temperatures from - °c. temperature density. volume. centigrade. ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . ° . . authority: landolt, börnstein, and meyerhoffer's !tabellen!, third edition. corrections for change of temperature of standard solutions the values below are average values computed from data relating to a considerable number of solutions. they are sufficiently accurate for use in chemical analyses, except in the comparatively few cases where the highest attainable accuracy is demanded in chemical investigations. the expansion coefficients should then be carefully determined for the solutions employed. for a compilation of the existing data, consult landolt, börnstein, and meyerhoffer's !tabellen!, third edition. corrections for cc. concentration. of solution between ° and °c. normal . . normal . . normal or more dilute solutions . the volume of solution used should be multiplied by the values given, and that product multiplied by the number of degrees which the temperature of the solution varies from the standard temperature selected for the laboratory. the total correction thus found is subtracted from the observed burette reading if the temperature is higher than the standard, or added, if it is lower. corrections are not usually necessary for variations of temperature of °c. or less. international atomic weights ========================================================== | | | | | | _________________|_________|___________________|__________ | | | aluminium al | . | molybdenum mo | . antimony sb | . | neodymium nd | . argon a | . | neon ne | . arsenic as | . | nickel ni | . barium ba | . | nitrogen n | . bismuth bi | . | osmium os | . boron b | . | oxygen o | . bromine br | . | palladium pd | . cadmium cd | . | phosphorus p | . caesium cs | . | platinum pt | . calcium ca | . | potassium k | . carbon c | . | praseodymium pr | . cerium ce | . | radium ra | . chlorine cl | . | rhodium rh | . chromium cr | . | rubidium rb | . cobalt co | . | ruthenium ru | . columbium cb | . | samarium sm | . copper cu | . | scandium sc | . dysprosium dy | . | selenium se | . erbium er | . | silicon si | . europium eu | . | silver ag | . fluorine fl | . | sodium na | . gadolinium gd | . | strontium sr | . gallium ga | . | sulphur s | . germanium ge | . | tantalum ta | . glucinum gl | . | tellurium te | . gold au | . | terbium tb | . helium he | . | thallium tl | . hydrogen h | . | thorium th | . indium in | . | thulium tm | . iodine i | . | tin sn | . iridium ir | . | titanium ti | . iron fe | . | tungsten w | . krypton kr | . | uranium u | . lanthanum la | . | vanadium v | . lead pb | . | xenon xe | . lithium li | . | ytterbium yb | . lutecium lu | . | yttrium y | . magnesium mg | . | zinc zn | . manganese mn | . | zirconium zr | . mercury hg | . | | ========================================================== index acidimetry acid solutions, normal standard acids, definition of acids, weak, action of other acids on action of salts on accuracy demanded alkalimetry alkali solutions, normal standard alumina, determination of in stibnite ammonium nitrate, acid analytical chemistry, subdivisions of antimony, determination of, in stibnite apatite, analysis of asbestos filters atomic weights, table of balances, essential features of use and care of barium sulphate, determination of sulphur in bases, definition of bichromate process for iron bleaching powder, analysis of brass, analysis of burette, description of calibration of cleaning of reading of calcium, determination of, in limestone calibration, definition of of burettes of flasks carbon dioxide, determination of, in limestone chlorimetry chlorine, gravimetric determination of chrome iron ore, analysis of coin, determination of silver in colloidal solution of precipitates colorimetric analyses, definition of copper, determination of, in brass determination of in copper ores crucibles, use of crystalline precipitates densities of water deposition potentials desiccators direct methods dissociation, degree of economy of time electrolytic dissociation, theory of electrolytic separations, principles of end-point, definition of equilibrium, chemical evaporation of liquids faraday's law feldspar, analysis of ferrous ammonium sulphate, analysis of filters, folding of how fitted filtrates, testing of filtration flasks, graduation of funnels fusions, removal of from crucibles general directions for gravimetric analysis volumetric analysis gooch filter gravimetric analysis, definition of hydrochloric acid, standardization of hydrolysis ignition of precipitates indicators, definition of for acidimetry preparation of indirect methods insoluble matter, determination of in limestone integrity iodimetry ions, definition of iron, gravimetric determination of volumetric determination of jones reductor lead, determination of in brass limestone, analysis of limonite, determination of iron in liquids, evaporation of transfer of litmus logarithms magnesium, determination of mass action, law of measuring instruments methyl orange moisture, determination of in limestone neutralization methods normal solutions, acid and alkali oxidizing agents reducing agents notebooks, sample pages of oxalic acid, determination of strength of oxidation processes oxidizing power of pyrolusite permanganate process for iron phenolphthalein phosphoric anhydride, determination of pipette, calibration of description of platinum crucibles, care of precipitates, colloidal crystalline ignition of separation from filter washing of precipitation precipitation methods (volumetric) problems pyrolusite, oxidizing power of quantitative analyses, subdivisions of reagents, strength of reducing solution, normal reductor, jones reversible reactions silica, determination of, in limestone determination of, in silicates purification of silicic acid, dehydration of silver, determination of in coin soda ash, alkaline strength of sodium chloride, determination of chlorine in solubility product solution pressure solutions, normal standard standardization, definition of standard solutions, acidimetry and alkalimetry chlorimetry iodimetry oxidizing and reducing agents thiocyanate starch solutions stibnite, determination of antimony in stirring rods stoichiometry strength of reagents suction, use of sulphur, determination of in ferrous ammonium sulphate in barium sulphate temperature, corrections for testing of washings theory of electrolytic dissociation thiocyanate process for silver titration, definition of transfer of liquids volumetric analysis, definition of general directions wash-bottles washed filters washing of precipitates washings, testing of water, ionization of densities of weights, care of zimmermann-reinhardt method for iron zinc, determination of, in brass note: project gutenberg also has an html version of this file which includes the original illustrations. see -h.htm or -h.zip: (http://www.gutenberg.org/files/ / -h/ -h.htm) or (http://www.gutenberg.org/files/ / -h.zip) heroes of science. chemists by m. m. pattison muir, m.a., f.r.s.e., fellow, and prælector in chemistry, of gonville and caius college, cambridge. published under the direction of the committee of general literature and education appointed by the society for promoting christian knowledge. london: society for promoting christian knowledge, northumberland avenue, charing cross; , queen victoria street, e.c.; , st. george's place, hyde park corner, s.w. brighton: , north street. new york: e. & j. b. young & co. . "the discoveries of great men never leave us; they are immortal; they contain those eternal truths which survive the shock of empires, outlive the struggles of rival creeds, and witness the decay of successive religions."--buckle. "he who studies nature has continually the exquisite pleasure of discerning or half discerning and divining laws; regularities glimmer through an appearance of confusion, analogies between phenomena of a different order suggest themselves and set the imagination in motion; the mind is haunted with the sense of a vast unity not yet discoverable or nameable. there is food for contemplation which never runs short; you gaze at an object which is always growing clearer, and yet always, in the very act of growing clearer, presenting new mysteries."--the author of "ecce homo." "je länger ich lebe, desto mehr verlern' ich das gelernte, nämlich die systeme."--jean paul richter. preface. i have endeavoured in this book to keep to the lines laid down for me by the publication committee of the society, viz. "to exhibit, by selected biographies, the progress of chemistry from the beginning of the inductive method until the present time." the progress of chemistry has been made the central theme; around this i have tried to group short accounts of the lives of those who have most assisted this progress by their labours. this method of treatment, if properly conducted, exhibits the advances made in science as intimately connected with the lives and characters of those who studied it, and also impresses on the reader the continuity of the progress of natural knowledge. the lives of a few chemists have been written; of others there are, however, only scanty notices to be found. the materials for this book have been collected chiefly from the following works:-- kopp's "geschichte der chemie." thomson's "history of chemistry." ladenburg's "entwickelungsgeschichte der chemie." wurtz's "history of the atomic theory." watts's "dictionary of chemistry." whewell's "history of the inductive sciences." rodwell's "birth of chemistry;" "inquiry into the hermetic mystery and alchemy" (london, ); "popular treatises on science written during the middle ages," edited for the historical society of science by thomas wright, m.a. (london, ); "ripley reviv'd; or, an exposition upon sir george ripley's hermetico-poetical works," by eirenæus philalethes (london, ); "tripus aureus, hoc est tres tractates chymici selectissimi" (frankfurt, ). "alchemy;" article in "encyclopædia britannica." boyle's "sceptical chymist." "biographie universelle;" for notices of berzelius and lavoisier. "english cyclopædia;" for notices of black, berzelius and lavoisier. black's "lectures," with memoir: edited by dr. robinson. priestley's "memoirs:" written partly by himself. priestley's works on "air," etc. lavoisier's "oeuvres." dalton's "life," by dr. henry; "life," by dr. r. angus smith; "new system of chemical philosophy." davy's "collected works;" with life, by his brother; "life," by dr. paris. berzelius's "lehrbuch," and various dissertations. wöhler's "jugenderinnerungen eines chemikers." graham's "collected memoirs." sketch of graham's life, in chemical society's journal. "life-work of liebig," by a. w. hofmann. "dumas," by a. w. hofmann. various dissertations by liebig and dumas in _annalen_, and elsewhere. my warmest thanks are due to my friend, mr. francis rye, for the great assistance he has given me in correcting the proof-sheets. m. m. pattison muir. cambridge, _april, _. contents. page introductory chapter i. alchemy: and the dawn of chemistry. beginnings of natural knowledge--chemistry in the middle ages--alchemy--the phlogistic theory chapter ii. establishment of chemistry as a science--period of black, priestley and lavoisier. introduction of accurate measurements into chemistry--black's researches on alkalis and on fixed air--his conception of heat--priestley's experiments on airs--his discovery of oxygen--lavoisier, the founder of the science of chemistry--he clearly establishes a connection between composition and properties of bodies chapter iii. establishment of general principles of chemical science--period of dalton. dalton's training in physical science--he revives and renders quantitative the atomic theory--the term "atom" is applied by him to elements and compounds alike--his rules for chemical synthesis chapter iv. establishment of general principles of chemical science (_continued_)--period of davy and berzelius. electro-chemistry--the dualistic theory developed by berzelius--davy's work on acids, alkalis, and salts--he proves chlorine to be an element--his discovery of the safety-lamp chapter v. the work of graham. graham traces the movements of molecules--he distinguishes between colloids and cystalloids--dialysis chapter vi. rise and progress of organic chemistry--period of liebig and dumas. the barrier between inorganic and organic chemistry begins to be broken down--wöhler prepares urea--dumas opposes the dualistic system of berzelius--liebig's conception of compound radicles--his work in animal and agricultural chemistry chapter vii. modern chemistry. the relations between composition and properties of bodies are developed and rendered more definite--physical methods are more largely made use of in chemistry--spectroscopic analysis chapter viii. summary and conclusion heroes of science. introductory. as we trace the development of any branch of natural knowledge we find that there has been a gradual progress from vague and fanciful to accurate and definite views of nature. we find that as man's conceptions of natural phenomena become more accurate they also for a time become more limited, but that this limitation is necessary in order that facts may be correctly classified, and so there may be laid the basis for generalizations which, being definite, shall also be capable of expansion. at first nature is strange; she is full of wonderful and fearful appearances. man is overwhelmed by the sudden and apparently irregular outbreaks of storms, by the capricious freaks of thunder and lightning, by the awful and unannounced devastations of the volcano or the earthquake; he believes himself to be surrounded by an invisible array of beings more powerful than himself, but, like himself, changeable in their moods and easily provoked to anger. after a time he begins to find that it is possible to trace points of connection between some of the appearances which had so overpowered or perplexed him. the huntsman observes that certain kinds of plants always grow where the game which he pursues is chiefly to be found; from the appearance of the sky at morning and evening the fisherman is able to tell whether there will follow weather suitable for him to set out in his fishing-boat; the tiller of the ground begins to feel sure that if he sow the seed in the well-dug soil and water it in proper seasons he will certainly reap the harvest in due time. and thus man comes to believe that natural events follow each other in a fixed order; there arises a conscious reference on his part of certain effects to certain definite causes. accurate knowledge has begun. as knowledge of natural appearances advances there comes a time when men devote themselves chiefly to a careful study of some one class of facts; they try to consider that part of nature with which they are mostly concerned as separate from all other parts of nature. thus the various branches of natural knowledge begin to have each a distinct existence. these branches get more and more subdivided, each division is more accurately studied, and so a great number of facts is accumulated in many classes. then we usually find that a master mind arises, who shows the connection which exists between the different parts of each division of natural knowledge, who takes a wide, far-reaching view of the whole range of the province of knowledge which he studies, and who, at the same time, is able to hold in his vision all the important details of each branch of which that province is composed. and thus we again get wide views of nature. but these are very different from the vague, dim and hesitating notions in which natural knowledge had its beginnings. in this later time men see that nature is both simple and complex; that she is more wonderful than their fathers dreamed, but that through all the complexity there runs a definite purpose; that the apparently separate facts are bound together by definite laws, and that to discover this purpose and these laws is possible for man. as we trace this progress in the various branches of natural knowledge we are struck with the fact that each important advance is generally accomplished by one or two leading men; we find that it becomes possible to group the history of each period round a few central figures; and we also learn that the character of the work done by each of these men of note is dependent on the nature and training of the individual man. it will be my endeavour in the following pages to give an account of the advance of chemical science, grouping the facts in each stage of progress round the figures of one or two men who were prominent in that period. for the purposes of this book it will be necessary that i should sketch only the most important periods in the story of chemical progress, and that in each of these i should fill in the prominent points alone. i shall therefore select three periods in the progress of this science, and try to give an account of the main work done in each of these. and the periods will be:-- i. the period wherein, chiefly by the work of black, priestley and lavoisier, the aim of chemical science was defined and the essential characters of the phenomena to be studied were clearly stated. ii. the period during which, chiefly by the labours of dalton, berzelius and davy, the great central propositions of the science were laid down and were developed into a definite theory. as belonging in great extent to this period, although chronologically later, i shall also consider the work of graham. iii. the period when, chiefly owing to advances made in organic chemistry, broader and more far-reaching systems of classification were introduced, and the propositions laid down in the preceding period were modified and strengthened. the workers in this period were very numerous; i shall chiefly consider these two--liebig and dumas. i shall conclude with a brief sketch of some of the important advances of chemical science in more recent times, and a summary of the characteristics of each of the three periods. chapter i. alchemy: and the dawn of chemistry. early chemistry was not a science. the ancient chemists dealt chiefly with what we should now call chemical manufactures; they made glass, cleaned leather, dyed cloth purple and other colours, extracted metals from their ores, and made alloys of metals. no well-founded explanations of these processes could be expected either from men who simply used the recipes of their predecessors, or from philosophers who studied natural science, not by the help of accurate experiments, but by the unaided light of their own minds. at somewhat later times chemistry assumed a very important place in the general schemes propounded by philosophers. change is vividly impressed on all man's surroundings: the endeavour to find some resting-place amidst the chaos of circumstances, some unchanging substance beneath the ever-changing appearances of things, has always held a prominent place with those who study the phenomena of the world which surrounds them. in the third and fourth centuries of our era much attention was given to the art which professed to explain the changes of nature. religion, philosophy, and what we should now call natural science, were at that time closely intermingled; the scheme of things which then, and for several centuries after that time, exerted a powerful influence over the minds of many thinkers was largely based on the conception of a fundamental unity underlying and regulating the observed dissimilarities of the universe. thus, in the _emerald table of hermes_, which was held in much repute in the middle ages, we read-- "true, without error, certain and most true: that which is above is as that which is below, and that which is below is as that which is above, for performing the miracles of the _one thing_; and as all things were from one, by the mediation of one, so all things arose from this one thing by adaptation: the father of it is the sun, the mother of it is the moon, the wind carried it in its belly, the nurse of it is the earth. this is the father of all perfection, the consummation of the whole world." and again, in a later writing we have laid down the basis of the art of alchemy in the proposition that "there abides in nature a certain pure matter, which, being discovered and brought by art to perfection, converts to itself proportionally all imperfect bodies that it touches." to discover this fundamental principle, this _one thing_, became the object of all research. earth and the heavens were supposed to be bound together by the all-pervading presence of the one thing; he who should attain to a knowledge of this precious essence would possess all wisdom. to the vision of those who pursued the quest for the one thing the whole universe was filled by one ever-working spirit, concealed now by this, now by that veil of sense, ever escaping identification in any concrete form, yet certainly capable of being apprehended by the diligent searcher. analogy was the chief guide in this search. if it were granted that all natural appearances were manifestations of the activity of one essential principle, then the vaguest and most far-fetched analogies between the phenomena of nature might, if properly followed up, lead to the apprehension of this hidden but everywhere present essence. the history of alchemy teaches, in the most striking manner, the dangers which beset this method of pursuing the study of nature; this history teaches us that analogies, unless founded on carefully and accurately determined facts, are generally utterly misleading in natural science. let us consider the nature of the experimental evidence which an alchemist of the fourth or fifth century could produce in favour of his statement that transmutation of one kind of matter into another is of constant occurrence in nature. the alchemist heated a quantity of water in an open glass vessel; the water slowly disappeared, and when it was all gone there remained in the vessel a small quantity of a white earthy solid substance. what could this experiment teach save that water was changed into earth and air? the alchemist then plunged a piece of red-hot iron into water placed under a bell-shaped glass vessel; some of the water seemed to be changed into air, and a candle, when brought into the bell, caused the air therein to take fire. therefore, concluded the experimenter, water is proved to be changeable into fire. a piece of lead was then strongly heated in the air; it lost its lustre and became changed into a reddish-white powder, very unlike lead in its properties; this powder was then heated in a convenient vessel with a little wheat, whereupon the lead was again produced. therefore, said the alchemist, lead is destroyed by fire, but it can be reproduced from its ashes by the help of heat and a few grains of corn. the experimenter would now proceed to heat a quantity of a mineral containing lead in an open vessel made of pulverized bones; the lead slowly disappeared, and at the close of the experiment a button of silver remained. might he not triumphantly assert that he had transmuted lead into silver? in order that the doctrine of the transmutation of metals might rest on yet surer evidence, the alchemist placed a piece of copper in spirits of nitre (nitric acid); the metal disappeared; into the green liquid thus produced he then placed a piece of iron; the copper again made its appearance, while the iron was removed. he might now well say that if lead was thus demonstrably changed into silver, and copper into iron, it was, to say the least, extremely probable that any metal might be changed into any other provided the proper means for producing the change could be discovered. but the experimental alchemist had a yet stranger transmutation wherewith to convince the most sceptical. he poured mercury in a fine stream on to melted sulphur; at once the mercury and the sulphur disappeared, and in their place was found a solid substance black as the raven's wing. he then heated this black substance in a closed vessel, when it also disappeared, and in its place there was found, deposited on the cooler part of the vessel, a brilliantly red-coloured solid. this experiment taught lessons alike to the alchemist, the philosopher, and the moralist of these times. the alchemist learned that to change one kind of matter into another was an easy task: the philosopher learned that the prevalence of change or transmutation is one of the laws of nature: and the moralist learned that evil is not wholly evil, but contains also some germs of good; for was not the raven-black substance emblematical of the evil, and the red-coloured matter of the good principle of things?[ ] on such experimental evidence as this the building of alchemy was reared. a close relationship was believed to prevail through the whole phenomena of nature. what more natural then than to regard the changes which occur among the forms of matter on this earth as intimately connected with the changes which occur among the heavenly bodies? man has ever been overawed by the majesty of the stars; yet he has not failed to notice that the movements of these bodies are apparently capricious. the moon has always been to him a type of mutability; only in the sun has he seemed to find a settled resting-point. now, when we remember that in the alchemical scheme of things the material earth and material heavens, the intellectual, the moral, and the spiritual world were regarded as one great whole, the parts of which were continuously acting and reacting on each other, we cannot wonder that the alchemist should regard special phenomena which he observed in his laboratory, or special forms of matter which he examined, as being more directly than other phenomena or other forms of matter, under the influence of the heavenly bodies. this connection became gradually more apparent to the student of alchemy, until at last it was fixed in the language and the symbols which he employed. thus the sun (sol) was represented by a circle, which likewise became the symbol for gold, as being the most perfect metal. the moon (luna) was ever changing; she was represented by a half-circle, which also symbolized the pale metal silver. copper and iron were regarded as belonging to the same class of metals as gold, but their less perfect nature was denoted by the sign + or ^. tin and lead belonged to the lunar class, but like copper they were supposed to be imperfect metals. mercury was at once solar and lunar in its properties. these suppositions were summed up in such alchemical symbols as are represented below-- [illustration: sol. gold.] [illustration: luna. silver.] [illustration: venus. copper.] [illustration: mars. iron.] [illustration: jupiter. tin.] [illustration: saturn. lead.] [illustration: mercury. quicksilver.] many of the alchemical names remain to the present time; thus in pharmacy the name "lunar caustic" is applied to silver nitrate, and the symptoms indicative of lead-poisoning are grouped together under the designation of "saturnine cholic." but as the times advanced the older and nobler conception of alchemy became degraded. if it be true, the later alchemists urged, that all things suffer change, but that a changeless essence or principle underlies all changing things, and that the presence of more or less of this essence confers on each form of matter its special properties, it follows that he who can possess himself of this principle will be able to transmute any metal into any other; he will be able to change any metal into gold. now, as the possession of gold has always carried with it the means of living luxuriously, it is easy to understand how, when this practical aspect of alchemy had taken firm root in men's minds, the pursuit of the art became for all, except a few lofty and noble spirits, synonymous with the pursuit of wealth. so that we shall not, i think, much err if we describe the chemistry of the later middle ages as an effort to accumulate facts on which might be founded the art of making gold. in one respect this was an advance. in the early days of alchemy there had been too much trusting to the mental powers for the manufacture of natural facts: chemists now actually worked in laboratories; and very hard did many of these alchemists work. paracelsus says of the alchemists, "they are not given to idleness, nor go in a proud habit, or plush and velvet garments, often showing their rings upon their fingers, or wearing swords with silver hilts by their sides, or fine and gay gloves upon their hands; but diligently follow their labours, sweating whole days and nights by their furnaces. they do not spend their time abroad for recreation, but take delight in their laboratory. they put their fingers amongst coals, into clay and filth, not into gold rings. they are sooty and black like smiths and miners, and do not pride themselves upon clean and beautiful faces." by thus "taking delight in their laboratories" the later alchemists gathered together many facts; but their work centred round one idea, viz. that metals might all be changed into gold, and this idea was the result rather of intellectual guessing than of reasoning on established facts of nature. one of the most famous alchemists of the middle ages was born at einsiedeln, in switzerland, in . his name, when paraphrased into greek, became paracelsus. this man, some of whose remarks have just been quoted, acquired great fame as a medical practitioner, and also as a lecturer on medicine: he travelled throughout the greater part of europe, and is supposed to have been taught the use of several new medicines by the arabian physicians whom he met in spain. with an over-weening sense of his own powers, with an ardent and intemperate disposition, revolting against all authority in medicine or science, paracelsus yet did a good work in calling men to the study of nature as the only means whereby natural science could be advanced. "alchemy has but one aim and object," paracelsus taught: "to extract the quintessence of things, and to prepare arcana and elixirs which may serve to restore to man the health and soundness he has lost." he taught that the visible universe is but an outer shell or covering, that there is a spirit ever at work underneath this veil of phenomena; but that all is not active: "to separate the active function (the spirit) of this outside shell from the passive" was, he said, the proper province of alchemy. paracelsus strongly insisted on the importance of the changes which occur when a substance burns, and in doing this he prepared the way for stahl and the phlogistic chemists. however we may admire the general conceptions underlying the work of the earlier alchemists, we must admit that the method of study which they adopted could lead to very few results of lasting value; and i think we may add that, however humble the speculations of these older thinkers might appear, this humility was for the most part only apparent. these men were encompassed (as we are) by unexplained appearances: they were every moment reminded that man is not "the measure of all things;" and by not peering too anxiously into the mysteries around them, by drawing vague conclusions from partially examined appearances, they seemed at once to admit their own powerlessness and the greatness of nature. but i think we shall find, as we proceed with our story, that this is not the true kind of reverence, and that he is the really humble student of nature who refuses to overlook any fact, however small, because he feels the tremendous significance of every part of the world of wonders which it is his business and his happiness to explore. as examples of the kind of explanation given by alchemists of those aspects of nature which they professed to study, i give two quotations from translations of the writings of basil valentine and paracelsus, who flourished in the first half of the fifteenth and sixteenth centuries respectively. "think most diligently about this; often bear in mind, observe and comprehend that all minerals and metals together, in the same time, and after the same fashion, and of one and the same principal matter, are produced and generated. that matter is no other than a mere vapour, which is extracted from the elementary earth by the superior stars, or by a sidereal distillation of the macrocosm; which sidereal hot infusion, with an airy sulphureous property, descending upon inferiors, so acts and operates as that there is implanted, spiritually and invisibly, a certain power and virtue in those metals and minerals; which fume, moreover, resolves in the earth into a certain water wherefrom all metals are thenceforth generated and ripened to their perfection, and thence proceeds this or that metal or mineral, according as one of the three principles acquires dominion and they have much or little of sulphur and salt, or an unequal mixture of these; whence some metals are fixed, that is, constant or stable; and some are volatile and easily changeable, as is seen in gold, silver, copper, iron, tin and lead." "the life of metals is a secret fatness; of salts, the spirit of aqua fortis; of pearls, their splendour; of marcasites and antimony, a tingeing metalline spirit; of arsenics, a mineral and coagulated poison. the life of all men is nothing else but an astral balsam, a balsamic impression, and a celestial invisible fire, an included air, and a tingeing spirit of salt. i cannot name it more plainly, although it is set out by many names." when the alchemists gave directions for making the stone which was to turn all it touched into gold, they couched them in such strange and symbolical language as this: "after our serpent has been bound by her chain, penetrated with the blood of our green dragon, and driven nine or ten times through the combustible fire into the elementary air, if you do not find her to be exceeding furious and extremely penetrating, it is a sign that you do not hit our subject, the notion of the homogenea, or their proportion; if this furious serpent does not come over in a cloud and turn into our virgin milk, or argentine water, not corrosive at all and yet insensibly and invisibly devouring everything that comes near it, it is plainly to be seen that you err in the notion of our universal menstruum." or, again, what could any reasonable man make of this? "in the green lion's bed the sun and moon are born; they are married and beget a king. the king feeds on the lion's blood, which is the king's father and mother, who are at the same time his brother and sister. i fear i betray the secret, which i promised my master to conceal in dark speech from any one who knows not how to rule the philosopher's fire." concerning the same lion, another learned author says that "though called a lion, it is not an animal substance, but for its transcendant force, and the rawness of its origin, it is called the green lion." but he adds in a moment of confidence: "this horrid beast has so many names, that unless god direct the searcher it is impossible to distinguish him." and once more. "take our two serpents, which are to be found everywhere on the face of the earth: tie them in a love-knot and shut them up in the arabian _caraha_. this is the first labour; but the next is more difficult. thou must encamp against them with the fire of nature, and be sure thou dost bring thy line round about. circle them in and stop all avenues that they find no relief. continue this siege patiently, and they turn into an ugly venomous black toad, which will be transformed to a horrible devouring dragon, creeping and weltering in the bottom of her cave without wings. touch her not by any means, for there is not on earth such a vehement transcending poison. as thou hast begun so proceed, and this dragon will turn into a swan. henceforth i will show thee how to fortify thy fire till the phoenix appear: it is a red bird of a most deep colour, with a shining fiery hue. feed this bird with the fire of his father and the ether of his mother: for the first is meat and the second is drink, and without this last he attains not to his full glory. be sure to understand this secret," etc., etc. the alchemists spoke of twelve gates through which he who would attain to the palace of true art must pass: these twelve gates were to be unlocked by twelve keys, descriptions of which, couched in strange and symbolical language, were given in alchemical treatises. thus in "ripley reviv'd"[ ] we read that canon ripley, of bridlington, who lived in the time of edward iv., sang thus of the first gate, which was "calcination:"-- "the battle's fought, the conquest won, the lyon dead reviv'd; the eagle's dead which did him slay, and both of sense depriv'd. the showers cease, the dews which fell for six weeks do not rise; the ugly toad that did so swell with swelling bursts and dies." and of the third gate, or "conjunction," we find the canon saying-- "he was a king, yet dead as dead could be; his sister a queen, who when her brother she did breathless see, the like was never seen, she cryes until her eyes with over-weeping were waxed dim-- so long till her tears reach'd up to her ears: the queen sunk, but the king did swim." in some books these gates and keys are symbolically represented in drawings, _e.g._ in a pamphlet by paracelsus, called "tripus aureus, hoc est tres tractates chymici selectissimi." (frankfurt, .) it is evident that a method of studying nature which resulted in such dim and hazy explanations as these was eminently fitted to produce many who pretended to possess secrets by the use of which they could bring about startling results beyond the power of ordinary men; and, at the same time, the almost universal acceptance of such statements as those i have quoted implied the existence in men generally of a wondrous readiness to believe anything and everything. granted that a man by "sweating whole days and nights by his furnaces" can acquire knowledge which gives him great power over his fellows, it necessarily follows that many will be found ready to undergo these days and nights of toil. and when we find that this supposed knowledge is hidden under a mask of strange and mystical signs and language, we may confidently assert that there will be many who learn to repeat these strange terms and use these mystical signs without attempting to penetrate to the truths which lie behind--without, indeed, believing that the mystical machinery which they use has any real meaning at all. we find, as a matter of fact, that the age of the alchemists produced many deceivers, who, by mumbling incantations and performing a few tricks, which any common conjuror would now despise, were able to make crowds of men believe that they possessed a supernatural power to control natural actions, and, under this belief, to make them part with their money and their substance. one respectable physician of the hague, who entertained a peripatetic alchemist, complains that the man entered his "best-furnished room without wiping his shoes, although they were full of snow and dirt." however, the physician was rewarded, as the stranger gave him, "out of his philosophical commiseration, as much as a turnip seed in size" of the much-wished-for stone of wisdom. that the alchemist of popular belief was a man who used a jargon of strange and high-sounding words, that he might the better deceive those whom he pretended to help, is evident from the literature of the sixteenth and seventeenth centuries. in the play of the "alchymist" ben jonson draws the character of subtle as that of a complete scoundrel, whose aim is to get money from the pockets of those who are stupid enough to trust him, and who never hesitates to use the basest means for this end. from the speeches of subtle we may learn the kind of jargon employed by the men who pretended that they could cure diseases and change all baser metals into gold. "_subtle._ name the vexations and the martyrizations of metals in the work. _face._ sir, putrefaction, solution, ablution, sublimation, cohobation, calcination, ceration, and fixation. _sub._ and when comes vivification? _face._ after mortification. _sub._ what's cohobation? _face._ 'tis the pouring on your aqua regis, and then drawing him off, to the trine circle of the seven spheres. * * * * * _sub._ and what's your mercury? _face._ a very fugitive; he will be gone, sir. _sub._ how know you him? _pace._ by his viscosity, his oleosity, and his suscitability." even in the fourteenth century, chaucer (in the "canon's yeoman's tale") depicts the alchemist as a mere cunning knave. a priest is prevailed on to give the alchemist money, and is told that he will be shown the change of base metal into gold. the alchemist busies himself with preparations, and sends the priest to fetch coals. "and whil he besy was, this feendly wrecche, this false chanoun (the foule feende him fecche) out of his bosom took a bechen cole in which ful subtilly was maad an hole, and therein put was of silver lymayle an unce, and stopped was withoute fayle the hole with wex, to keep the lymayle in. and understondith, that this false gyn was not maad there, but it was maad before." this "false gyn" having been put in the crucible and burned with the rest of the ingredients, duly let out its "silver lymayle" (filings), which appeared in the shape of a small button of silver, and so accomplished the "false chanoun's" end of deceiving his victim. the alchemists accumulated many facts: they gained not a little knowledge concerning the appearances of nature, but they were dominated by a single idea. living in the midst of an extremely complex order of things, surrounded by a strange and apparently capricious succession of phenomena, they were convinced that the human intelligence, directed and aided by the teachings of the church, would guide them through the labyrinth. and so they entered on the study of nature with preconceived notions and foregone conclusions: enthusiastic and determined to know although many of them were, they nevertheless failed because they refused to tread the only path which leads to true advances in natural science--the path of unprejudiced accurate experiment, and of careful reasoning on experimentally determined facts. and even when they had become convinced that their aims were visionary, they could not break free from the vicious system which bound them. "... i am broken and trained to my old habits: they are part of me. i know, and none so well, my darling ends are proved impossible: no less, no less, even now what humours me, fond fool, as when their faint ghosts sit with me and flatter me, and send me back content to my dull round."[ ] one of the most commonly occurring and most noticeable changes in the properties of matter is that which proceeds when a piece of wood, or a candle, or a quantity of oil burns. the solid wood, or candle, or the liquid oil slowly disappears, and this disappearance is attended with the visible formation of flame. even the heavy fixed metals, tin or lead, may be caused to burn; light is produced, a part of the metal seems to disappear, and a white (or reddish) solid, very different from the original metal, remains. the process of burning presents all those peculiarities which are fitted to strike an observer of the changes of nature; that is, which are fitted to strike a chemist--for chemistry has always been recognized as having for its object to explain the changes which matter undergoes. the chemists of the seventeenth and eighteenth centuries were chiefly occupied in trying to explain this process of burning or combustion. van helmont ( - ), who was a physician and chemist of brussels, clearly distinguished between common air and other "airs" or gases produced in different ways. robert hooke ( - ), one of the original fellows of the royal society, in the "micographia, or philosophical description of minute bodies," published in , concluded from the results of numerous experiments that there exists in common air a peculiar kind of gas, similar to, or perhaps identical with the gas or air which is got by heating saltpetre; and he further supposed that when a solid burns, it is dissolved by (or we should now say, it is converted into a gas by combining with) this peculiar constituent of the air. john mayow ( - ), a physician of oxford, experimented on the basis of facts established by hooke. he showed that when a substance, _e.g._ a candle, burns in air, the volume of air is thereby lessened. to that portion of the air which had _dissolved_ the burned substance he gave the name of _nitre-air_, and he argued that this air exists in condensed form in nitre, because sulphur burns when heated with nitre in absence of common air. mayow added the most important fact--a fact which was forgotten by many later experimenters--that the solid substance obtained by burning a metal in air weighs more than the metal itself did before burning. he explained this increase in weight by saying that the burning metal absorbs particles of "nitre-air" from the atmosphere. thus hooke and mayow had really established the fact that common air consists of more than one definite kind of matter--in other words, that common air is not an element; but until recent times the term "element" or "elementary principle" was used without any definite meaning. when we say that the ancients and the alchemists recognized four elements--earth, air, fire, and water--we do not attach to the word "element" the same definite meaning as when we now say, "iron is an element." from earth, air, fire and water other substances were obtained; or it might be possible to resolve other substances into one or more of these four. but even to such a word as "substance" or "matter" no very definite meaning could be attached. although, therefore, the facts set forth by hooke and mayow might now justify the assertion that air is not an element, they did not, in the year , necessarily convey this meaning to men's minds. the distinction between element and compound was much more clearly laid down by the hon. robert boyle ( - ), whose chemical work was wonderfully accurate and thorough, and whose writings are characterized by acute scientific reasoning. we shall again return to these terms "element" and "compound." but the visible and striking phenomenon in most processes of burning is the production of light and sometimes of flame. the importance of the fact that the burned substance (when a solid) weighs more than the unburned substance was overshadowed by the apparent importance of the outward part of the process, which could scarcely be passed over by any observer. there appears to be an outrush of _something_ from the burning substance. there _is_ an outrush of something, said becher and stahl, and this something is the "principle of fire." the principle of fire, they said, is of a very subtle nature; its particles, which are always in very rapid motion, can penetrate any substance, however dense. when metals burn--the argument continued--they lose this principle of fire; when the burned metal--or _calx_ as it was usually called--is heated with charcoal it regains this "principle," and so the metal is re-formed from the calx. thus arose the famous theory of _phlogiston_ (from greek, = "burned"), which served as a central nucleus round which all chemical facts were grouped for nearly a hundred years. john joachim becher was born at speyer in , and died in ; in his chemical works, the most important of which is the "physica subterranea," he retained the alchemical notion that the metals are composed of three "principles"--the nitrifiable, the combustible, and the mercurial--and taught that during calcination the combustible and mercurial principles are expelled, while the nitrifiable remains in the calx. george ernest stahl--born at anspach in , and died at berlin in --had regard chiefly to the principles which escape during the calcination of metals, and simplifying, and at the same rendering more definite the idea of becher, he conceived and enunciated the theory of phlogiston. but if _something_ (name it "phlogiston" or call it by any other name you please) is lost by a metal when the metal is burned, how is it that the loss of this thing is attended with an increase in the weight of the matter which loses it? either the theory of phlogiston must be abandoned, or the properties of the _thing_ called phlogiston must be very different from those of any known kind of matter. stahl replied, phlogiston is a "principle of levity;" the presence of phlogiston in a substance causes that substance to weigh less than it did before it received this phlogiston. in criticizing this strange statement, we must remember that in the middle of the seventeenth century philosophers in general were not firmly convinced of the truth that the essential character of matter is that it possesses weight, nor of the truth that it is impossible to destroy or to create any quantity of matter however small. it was not until the experimental work of lavoisier became generally known that chemists were convinced of these truths. nevertheless, the opponents of the stahlian doctrine were justified in asking for further explanations--in demanding that some other facts analogous to this supposed fact, viz. that a substance can weigh less than nothing, should be experimentally established. the phlogistic theory however maintained its ground; we shall find that it had a distinct element of truth in it, but we shall also find that it did harm to scientific advance. this theory was a wide and sweeping generalization from a few facts; it certainly gave a central idea around which some facts might be grouped, and it was not very difficult, by slightly cutting down here and slightly adding there, to bring many new discoveries within the general theory. we now know that in order to explain the process of combustion much more accurate knowledge was required than the chemists of the seventeenth century possessed; but we ought to be thankful to these chemists, and notably to stahl, that they did not hesitate to found a generalization on the knowledge they had. almost everything propounded in natural science has been modified as man's knowledge of nature has become wider and more accurate; but it is because the scientific student of nature uses the generalizations of to-day as stepping-stones to the better theories of to-morrow, that science grows "from more to more." looking at the state of chemistry about the middle of the eighteenth century, we find that the experiments, and especially the measurements, of hooke and mayow had laid a firm basis of fact concerning the process of combustion, but that the phlogistic theory, which appeared to contradict these facts, was supreme; that the existence of airs, or gases, different from common air was established, but that the properties of these airs were very slightly and very inaccurately known; that boyle had distinguished element from compound and had given definite meanings to these terms, but that nevertheless the older and vaguer expression, "elementary principle," was generally used; and lastly, that very few measurements of the masses of the different kinds of matter taking part in chemical changes had yet been made. footnotes: [ ] i have borrowed these illustrations of the alchemical, experimental method from m. hoefer's "histoire de la chimie," quoted in the "encyclopædia brittanica," art. "alchemy." [ ] "ripley reviv'd: or an exposition upon sir george ripley's hermetico-poetical works," by eirenæus philalethes. london, . [ ] browning's "paracelsus." chapter ii. establishment of chemistry as a science--period of black, priestley and lavoisier. _joseph black_, - . _joseph, priestley_, - . _antoine laurent lavoisier_, - . during this period of advance, which may be broadly stated as comprising the last half of the eighteenth century, the aim and scope of chemical science were clearly indicated by the labours of black, priestley and lavoisier. the work of these men dealt chiefly with the process of combustion. black and priestley finally proved the existence of airs or gases different from common air, and lavoisier applied these discoveries to give a clear explanation of what happens when a substance burns. * * * * * joseph black was born near bordeaux in the year . his father was of scottish family, but a native of belfast; his mother was the daughter of mr. gordon, of hilhead in aberdeenshire. we are told by dr. robison, in his preface to black's lectures, that john black, the father of joseph, was a man "of most amiable manners, candid and liberal in his sentiments, and of no common information." at the age of twelve black was sent home to a school at belfast; after spending six years there he went to the university of glasgow in the year . little is known of his progress at school or at the university, but judging from his father's letters, which his son preserved, he seems to have devoted himself to study. while at glasgow he was attracted to the pursuit of physical science, and chose medicine as a profession. becoming a pupil of dr. cullen, he was much impressed with the importance of chemical knowledge to the student of medicine. dr. cullen appears to have been one of the first to take large and philosophical views of the scope of chemical science, and to attempt to raise chemistry from the rank of a useful art to that of a branch of natural philosophy. such a man must have been attracted by the young student, whose work was already at once accurate in detail and wide in general scope. in the notes of work kept by black at this time are displayed those qualities of methodical arrangement, perseverance and thoroughness which are so prominent in his published investigations and lectures. in one place we find, says his biographer, many disjointed facts and records of diverse observations, but the next time he refers to the same subjects we generally have analogous facts noted and some conclusions drawn--we have the beginnings of knowledge. having once entered on an investigation black works it out steadily until he gets definite results. his earlier notes are concerned chiefly with heat and cold; about he begins to make references to the subject of "fixed air." about black went to edinburgh university to complete his medical studies, and here he was again fortunate in finding a really scientific student occupying the chair of natural philosophy. the attention of medical men was directed at this time to the action of limewater as a remedy for stone in the bladder. all the medicines which were of any avail in mitigating the pain attendant on this disease more or less resembled the "caustic ley of the soap-boilers" (or as we should now call it caustic potash or soda). these caustic medicines were mostly prepared by the action of quicklime on some other substance, and quicklime was generally supposed to derive its caustic, or corrosive properties from the fire which was used in changing ordinary limestone into quicklime. when quicklime was heated with "fixed alkalis" (_i.e._ with potassium or sodium carbonate), it changed these substances into caustic bodies which had a corrosive action on animal matter; hence it was concluded that the quicklime had derived a "power"--or some said had derived "igneous matter"--from the fire, and had communicated this to the fixed alkalis, which thereby acquired the property of corroding animal matter. black thought that he might be able to lay hold of this "igneous matter" supposed to be taken by the limestone from the fire; but he found that limestone loses weight when changed into quicklime. he then dissolved limestone (or chalk) in spirits of salt (hydrochloric acid), and compared the loss of weight undergone by the chalk in this process with the loss suffered by an equal quantity of chalk when strongly heated. this investigation led black to a fuller study of the action of heat on chalk and on "mild magnesia" (or as we now say, magnesium carbonate). in order that his experiments might be complete and his conclusions well established, he delayed taking the degree of doctor of medicine for three years. he graduated as m. d. in , and presented his thesis on "magnesia alba, quicklime and other alkaline substances," which contained the results of what is probably the first accurately quantitative examination of a chemical action which we possess. black prepared mild magnesia (magnesium carbonate) by boiling together solutions of epsom salts (magnesium sulphate) and fixed alkali (potassium carbonate). he showed that when mild magnesia is heated-- . it is much decreased in bulk. . it loses weight (twelve parts become five, according to black). . it does not precipitate lime from solutions of that substance in acids (black had already shown that mild magnesia does precipitate lime). he then strongly heated a weighed quantity of mild magnesia in a retort connected with a receiver; a few drops of water were obtained in the receiver, but the magnesia lost six or seven times as much weight as the weight of the water produced. black then recalls the experiments of hales, wherein airs other than common air had been prepared, and concludes that the loss of weight noticed when mild magnesia is calcined is probably due to expulsion, by the heat, of some kind of air. dissolving some of his mild magnesia in acid he noticed that effervescence occurred, and from this he concluded that the same air which, according to his hypothesis, is expelled by heat, is also driven out from the mild magnesia by the action of acid. he then proceeded to test this hypothesis. one hundred and twenty grains of mild magnesia were strongly calcined; the calcined matter, amounting to seventy grains, was dissolved in dilute oil of vitriol, and this solution was mixed with common fixed alkali (potassium carbonate). the solid which was thus produced was collected, washed and weighed; it amounted to a trifle less than one hundred and twenty grains, and possessed all the properties--detailed by black--of the original mild magnesia. but this is exactly the result which ought to have occurred according to his hypothesis. the next step in the investigation was to collect the peculiar air which black had proved to be evolved during the calcination of mild magnesia. to this substance he gave the name of "fixed air," because it was fixed or held by magnesia. black established the existence of this air in the expired breath of animals, and also showed that it was present in the air evolved during vinous fermentation. he demonstrated several of its properties; among these, the fact that animals die when placed in this air. an air with similar properties was obtained by calcining chalk. black held that the chemical changes which occur when chalk is calcined are exactly analogous to those which he had proved to take place when magnesia is strongly heated. chalk ought therefore to lose weight when calcined; the residue ought to neutralize an acid without evolution of any gas, and the quantity of acid thus neutralized ought to be the same as would be neutralized by the uncalcined chalk; lastly, it ought to be possible to recover the uncalcined chalk by adding a fixed alkali to a solution of the calcined chalk or quicklime. the actual results which black obtained were as follows:-- one hundred and twenty grains of chalk were dissolved in dilute muriatic (hydrochloric) acid; grains of the acid were needed to neutralize the chalk, and grains of fixed air were evolved. one hundred and twenty grains of the same specimen of chalk were strongly calcined, and then dissolved in dilute muriatic acid; grains of the acid were required to neutralize the calcined chalk. the difference between and is very slight; considering the state of practical chemistry at black's time, we may well agree with him that he was justified in the conclusion that equal weights of calcined and of uncalcined chalk neutralize the same amount of acid. one hundred and twenty grains of the same specimen of chalk were again strongly heated; the calcined chalk, amounting to grains, was digested with a solution of fixed alkali in water. the substance thus obtained, when washed and dried, weighed grains, and had all the properties of ordinary chalk. therefore, said black, it is possible to recover the whole of the chalk originally present before calcination, by adding a fixed alkali to the calcined chalk or quicklime. at this time it was known that water dissolves quicklime, but it was generally held that only about one-fourth (or perhaps a little more) of any specimen of quicklime could be dissolved by water, however much water was employed. black's researches had led him to regard quicklime as a homogeneous chemical compound; he concluded that as water undoubtedly dissolves quicklime to some extent, any specimen of this substance, provided it be pure, must be wholly soluble in water. carefully conducted experiments proved that black's conclusion was correct. black had thus proved that quicklime is a definite substance, with certain fixed properties which characterize it and mark it off from all other substances; that by absorbing, or combining with another definite substance (fixed air), quicklime is changed into a third substance, namely chalk, which is also characterized by properties as definite and marked as those of quicklime or fixed air. black, quite as much as the alchemists, recognized the fact that change is continually proceeding in nature; but he clearly established the all-important conclusion that these natural changes proceed in definite order, and that it is possible by careful experiment and just reasoning to acquire a knowledge of this order. he began the great work of showing that, as in other branches of natural science, so also in chemistry, which is pre-eminently the study of the changes of nature, "the only distinct meaning of that word" (natural) "is _stated_, _fixed_, or _settled_" (butler's "analogy," published ). this research by black is a model of what scientific work ought to be. he begins with a few observations of some natural phenomenon; these he supplements by careful experiments, and thus establishes a sure basis of fact; he then builds on this basis a general hypothesis, which he proceeds to test by deducing from it certain necessary conclusions, and proving, or disproving, these by an appeal to nature. this is the scientific method; it is common sense made accurate. very shortly after the publication of the thesis on magnesia and quicklime, a vacancy occurred in the chemical chair in glasgow university, and black was appointed professor of anatomy and lecturer on chemistry. as he did not feel fully qualified to lecture on anatomy, he made an arrangement to exchange subjects with the professor of medicine, and from this time he delivered lectures on chemistry and on "the institutes of medicine." black devoted a great deal of care and time to the teaching duties of his chair. his chemical experimental researches were not much advanced after this time; but he delivered courses of lectures in which new light was thrown on the whole range of chemical science. in the years between and black examined the phenomena of heat and cold, and gave an explanation, founded on accurate experiments, of the thermal changes which accompany the melting of solids and the vaporization of liquids. if pieces of wood, lead and ice be taken by the hand from a box in which they have been kept cold, the wood feels cold to the touch, the lead feels colder than the wood, and the ice feels colder than the lead; hence it was concluded that the hand receives cold from the wood, more cold from the lead, and most cold from the ice. black however showed that the wood really takes away heat from the hand, but that as the wood soon gets warmed, the process stops before long; that the lead, not being so quickly warmed as the wood, takes away more heat from the hand than the wood does, and that the ice takes away more heat than either wood or lead. black thought that the heat which is taken by melting ice from a warm body remains in the water which is produced; as soon as winter came he proceeded to test this supposition by comparing the times required to melt one pound of ice and to raise the temperature of one pound of water through one degree, the source of heat being the same in each case. he also compared the time required to lower the temperature of one pound of water through one degree with that required to freeze one pound of ice-cold water. he found that in order to melt one pound of ice without raising its temperature, as much heat had to be added to the ice as sufficed to raise the temperature of one pound of water through about degrees of fahrenheit's thermometer. but this heat which has been added to the ice to convert it into water is not indicated by the thermometer. black called this "_latent heat_." the experimental data and the complete theory of latent heat were contained in a paper read by black to a private society which met in the university of glasgow, on april , ; but it appears that black was accustomed to teach the theory in his ordinary lectures before this date. the theory of latent heat ought also to explain the phenomena noticed when liquid water is changed into steam. black applied his theory generally to this change, but did not fully work out the details and actually measure the quantity of heat which is absorbed by water at the boiling point before it is wholly converted into steam at the same temperature, until some years later when he had the assistance of his pupil and friend james watt. taking a survey of the phenomena of nature, black insisted on the importance of these experimentally established facts--that before ice melts it must absorb a large quantity of heat, and before water is vaporized it must absorb another large quantity of heat, which amounts of heat are restored to surrounding substances when water vapour again becomes liquid water and when liquid water is congealed to ice. he allows his imagination to picture the effects of these properties of water in modifying and ameliorating the climates of tropical and of northern countries. in his lectures he says, "here we can also trace another magnificent train of changes which are nicely accommodated to the wants of the inhabitants of this globe. in the equatorial regions, the oppressive heat of the sun is prevented from a destructive accumulation by copious evaporation. the waters, stored with their vaporific heat, are then carried aloft into the atmosphere till the rarest of the vapour reaches the very cold regions of the air, which immediately forms a small portion of it into a fleecy cloud. this also further tempers the scorching heat by its opacity, performing the acceptable office of a screen. from thence the clouds are carried to the inland countries, to form the sources in the mountains which are to supply the numberless streams that water the fields. and by the steady operation of causes, which are tolerably uniform, the greater part of the vapours passes on to the circumpolar regions, there to descend in rains and dews; and by this beneficent conversion into rain by the cold of those regions, each particle of steam gives up the heat which was latent in it. this is immediately diffused, and softens the rigour of those less comfortable climates." in the year black was appointed professor of chemistry in the university of edinburgh, in which position he remained till his death in . during these thirty-three years he devoted himself chiefly to teaching and to encouraging the advance of chemical science. he was especially careful in the preparation of his elementary lectures, being persuaded that it was of the utmost importance that his pupils should be well grounded in the principles of chemistry. his health had never been robust, and as he grew old he was obliged to use great care in his diet; his simple and methodical character and habits made it easy for him to live on the plainest food, and to take meals and exercise at stated times and in fixed quantities. black's life closed, as was fitting, in a quiet and honoured old age. he had many friends, but lived pretty much alone--he was never married. on the th of november , "being at table with his usual fare, some bread, a few prunes and a measured quantity of milk diluted with water, and having the cup in his hand when the last stroke of his pulse was to be given, he had set it down on his knees, which were joined together, and kept it steady with his hand, in the manner of a person perfectly at ease; and in this attitude he expired, without spilling a drop, and without a writhe in his countenance, as if an experiment had been required to show to his friends the facility with which he departed." black was characterized by "moderation and sobriety of thought;" he had a great sense of the fitness of things--of what is called by the older writers "propriety." but he was by no means a dull companion; he enjoyed general society, and was able to bear a part in any kind of conversation. a thorough student of nature, he none the less did not wish to devote his whole time to laboratory work or to the labours of study; indeed he seems to have preferred the society of well-cultivated men and women to that of specialists in his own or other branches of natural science. but with his true scientific peers he doubtless appeared at his best. among his more intimate friends were the famous political economist adam smith, and the no less celebrated philosopher david hume. dr. hutton, one of the earliest workers in geology, was a particular friend of black; his friendship with james watt began when watt was a student in his class, and continued during his life. with such men as his friends, and engaged in the study of nature--that boundless subject which one can never know to the full, but which one can always know a little more year by year--black's life could not but be happy. his example and his teaching animated his students; he was what a university professor ought to be, a student among students, but yet a teacher among pupils. his work gained for him a place in the first rank of men of science; his clearness of mind, his moderation, his gentleness, his readiness to accept the views of others provided these views were well established on a basis of experimentally determined facts, fitted him to be the centre of a circle of scientific students who looked on him as at once their teacher and their friend. as a lecturer black was eminently successful. he endeavoured to make all his lectures plain and intelligible; he enlivened them by many experiments designed simply to illustrate the special point which he had in view. he abhorred ostentatious display and trickiness in a teacher. black was strongly opposed to the use of hypotheses in science. dr. robison (the editor of his lectures) tells that when a student in edinburgh he met black, who became interested in him from hearing him speak somewhat enthusiastically in favour of one of the lecturers in the university. black impressed on him the necessity of steady experimental work in natural science, gave him a copy of newton's "optics" as a model after which scientific work ought to be conducted, and advised him "to reject, even without examination, any hypothetical explanation, as a mere waste of time and ingenuity." but, when we examine black's own work, we see that by "hypothetical explanations" he meant vague guesses. he himself made free use of scientific (_i.e._ of exact) hypotheses; indeed the history of science tells us that without hypotheses advance is impossible. black taught by his own researches that science is not an array of facts, but that the object of the student of nature is to explain facts. but the method generally in vogue before the time of black was to gather together a few facts, or what seemed to be facts, and on these to raise a vast superstructure of "vain imaginings." naturalists had scarcely yet learned that nature is very complex, and that guessing and reasoning on guesses, with here and there an observation added, was not the method by which progress was to be made in learning the lessons written in this complex book of nature. in place of this loose and slipshod method black insisted that the student must endeavour to form a clear mental image of every phenomenon which he studied. such an image could be obtained only by beginning with detailed observation and experiment. from a number of definite mental images the student must put together a picture of the whole natural phenomenon under examination; perceiving that something was wanted here, or that the picture was overcrowded there, he must again go to nature and gain fresh facts, or sometimes prove that what had been accepted as facts had no real existence, and so at length he would arrive at a true representation of the whole process. so anxious was black to define clearly what he knew and professed to teach, that he preferred to call his lectures "on the effects of heat and mixtures," rather than to announce them as "a systematic course on chemistry." his introductory lecture on "heat in general" is very admirable; the following quotation will serve to show the clearness of his style and the methodical but yet eminently suggestive manner of his teaching:-- _"of heat in general._ "that this extensive subject may be treated in a profitable manner, i propose-- "first. to ascertain what i mean by the word _heat_ in these lectures. "secondly. to explain the meaning of the term _cold_, and ascertain the real difference between heat and cold. "thirdly. to mention some of the attempts which have been made to discover the nature of heat, or to form an idea of what may be the immediate cause of it. "fourthly and lastly. i shall begin to describe sensible effects produced by heat on the bodies to which it is communicated. "any person who reflects on the ideas which we annex to the word _heat_ will perceive that this word is used for two meanings, or to express two different things. it either means a sensation excited in our organs, or a certain quality, affection, or condition of the bodies around us, by which they excite in us that sensation. the word is used in the first sense when we say, we feel heat; in the second, when we say, there is heat in the fire or in a hot stone. there cannot be a sensation of heat in the fire, or in the hot stone, but the matter of the fire, or of the stone, is in a state or condition by which it excites in us the sensation of heat. "now, in beginning to treat of heat and its effects, i propose to use the word in this second sense only; or as expressing that state, condition, or quality of matter by which it excites in us the sensation of heat. this idea of heat will be modified a little and extended as we proceed, but the meaning of the word will continue at bottom the same, and the reason of the modification will be easily perceived." black's manner of dealing with the phenomenon of combustion illustrates the clearness of the conceptions which he formed of natural phenomena, and shows moreover the thoroughly unbiased nature of his mind. as soon as he had convinced himself that the balance of evidence was in favour of the new (antiphlogistic) theory, he gave up those doctrines in which he had been trained, and accepted the teaching of the french chemists; but he did not--as some with less well-balanced minds might do--regard the new theory as a final statement, but rather as one stage nearer the complete explanation which future experiments and future reasoning would serve to establish. in his lectures on combustion black first of all establishes the facts, that when a body is burned it is changed into a kind (or kinds) of matter which is no longer inflammable; that the presence of air is needed for combustion to proceed; that the substance must be heated "to a certain degree" before combustion or inflammation begins; that this degree of heat (or we should now say this degree of temperature) differs for each combustible substance; that the supply of air must be renewed if the burning is to continue; and that the process of burning produces a change in the quality of the air supplied to the burning body. he then states the phlogistic interpretation of these phenomena: that combustion is caused by the outrush from the burning body of a something called the _principle of fire_, or _phlogiston_. black then proceeds to demonstrate certain other facts:--when the substances produced by burning phosphorus or sulphur are heated with carbon (charcoal) the original phosphorus or sulphur is reproduced. this reproduction is due, according to the phlogistic chemists, to the giving back, by carbon, of the phlogiston which had escaped during the burning. hence carbon contains much phlogiston. but as a similar reproduction of phosphorus or sulphur, from the substances obtained by burning these bodies, can be accomplished by the use of substances other than carbon, it is evident that these other substances also contain much phlogiston, and, moreover, that the phlogiston contained in all these substances is one and the same _principle_. what then, he asks, is this "principle" which can so escape, and be so restored by the action of various substances? he then proceeds as follows:-- "but when we inquire further, and endeavour to learn what notion was formed of the nature of this principle, and what qualities it was supposed to have in its separate state, we find this part of the subject very obscure and unsatisfactory, and the opinions very unsettled. "the elder chemists, and the alchemists, considered sulphur as the universal inflammable principle, or at least they chose to call the inflammable part of all bodies, that are more or less inflammable, by the name of their sulphur.... the famous german chemist becher was, i believe, the first who rejected the notion of sulphur being the principle of inflammability in bodies.... his notion of the nature of the pure principle of inflammability was afterwards more fully explained and supported by professor stahl, who, agreeably to the doctrine of becher, represented the principle of inflammability as a dry substance, or of an earthy nature, the particles of which were exquisitely subtile, and were much disposed to be agitated and set in motion with inconceivable velocity.... the opinion of becher and stahl concerning this _terra secunda_, or _terra inflammabilis_, or _phlogiston_, was that the atoms of it are, more than all others, disposed to be affected with an excessively swift whirling motion (_motus vorticillaris_). the particles of other elementary substances are likewise liable to be affected with the same sort of motion, but not so liable as those of _terra secunda_; and when the particles of any body are agitated with this sort of motion, the body exhibits the phenomena of heat, or ignition, or inflammation according to the violence and rapidity of the motion.... becher and stahl, therefore, did not suppose that heat depended on the abundance of a peculiar matter, such as the matter of heat or fire is now supposed to be, but on a peculiar motion of the particles of matter.... "this very crude opinion of the earthy nature of the principle of inflammability appears to have been deduced from a quality of many of the inflammable substances, by which they resist the action of water as a solvent. the greater number of the earthy substances are little, or not at all, soluble in water.... and when becher and stahl found those compounds, which they supposed contained phlogiston in the largest quantity, to be insoluble in water, although the other matter, with which the phlogiston was supposed to be united, was, in its separate state, exceedingly soluble in that fluid, they concluded that _a dry nature, or an incapability to be combined with water_, was an eminent quality of their phlogiston; and this was what they meant by calling it an earth or earthy substance.... but these authors supposed, at the same time, that the particles of this dry and earthy phlogiston were much disposed to be excessively agitated with a whirling motion; which whirling motion, exerted in all directions from the bodies in which phlogiston is contained, produced the phenomena of inflammation. this appears to have been the notion formed by becher and stahl, concerning the nature of the principle of inflammability, or the phlogiston; a notion which seems the least entitled to the name of explanation of anything we can think of. i presume that few persons can form any clear conception of this whirling motion, or, if they can, are able to explain to themselves how it produces, or can produce, anything like the phenomena of heat or fire." black then gives a clear account of the experiments of priestley and lavoisier (see pp. , , and - ), which established the presence, in common air, of a peculiar kind of gas which is especially concerned in the processes of combustion; he emphasizes the fact that a substance increases in weight when it is burned; and he gives a simple and clear statement of that explanation of combustion which is now accepted by all, and which does not require that the existence of any principle of fire should be assumed. it is important to note that black clearly connects the _physical_ fact that heat is absorbed, or evolved, by a substance during combustion, with the _chemical_ changes which are brought about in the properties of the substance burned. he concludes with an admirable contrast between the phlogistic theory and the theory of lavoisier, which shows how wide, and at the same time how definite, his conceptions were. black never speaks contemptuously of a theory which he opposes. "according to this theory" (_i.e._ the theory of lavoisier), "the inflammable bodies, sulphur for example, or phosphorus, are simple substances. the acid into which they are changed by inflammation is a compound. the chemists, on the contrary" (_i.e._ the followers of stahl), "consider the inflammable bodies as compounds, and the uninflammable matter as more simple. in the common theory the heat and light are supposed to emanate from, or to be furnished by, the burning body. but, in mr. lavoisier's theory, both are held to be furnished by the air, of which they are held to be constituent parts, or ingredients, while in its state of fire-supporting air." black was not a brilliant discoverer, but an eminently sound and at the same time imaginative worker; whatever he did he did well, but he did not exhaust any field of inquiry. many of the facts established by him have served as the basis of important work done by those who came after him. the number of new facts added by black to the data of chemistry was not large; but by his lectures--which are original dissertations of the highest value--he did splendid service in advancing the science of chemistry. black possessed that which has generally distinguished great men of science, a marked honesty of character; and to this he added comprehensiveness of mental vision: he saw beyond the limits of the facts which formed the foundations of chemical science in his day. he was not a fact-collector, but a philosopher. * * * * * joseph priestley, the son of jonas priestley, "a maker and dresser of woollen cloth," was born at fieldhead, near leeds, in the year . his mother, who was the daughter of a farmer near wakefield, died when he was seven years old. from that time he was brought up by a sister of his father, who was possessed of considerable private means. priestley's surroundings in his young days were decidedly religious, and evidently gave a tone to his whole after life. we shall find that priestley's work as a man of science can scarcely be separated from his theological and metaphysical work. his cast of mind was decidedly metaphysical; he was altogether different from black, who, as we have seen, was a typical student of natural phenomena. the house of priestley's aunt was a resort for all the dissenting ministers of that part of the county. she herself was strictly calvinistic in her theological views, but not wholly illiberal. priestley's early schooling was chiefly devoted to learning languages; he acquired a fair knowledge of latin, a little greek, and somewhat later he learned the elements of hebrew. at one time he thought of going into trade, and therefore, as he tells us in his "memoirs," he acquired some knowledge of french, italian and high dutch. with the help of a friend, a dissenting minister, he learned something of geometry, mathematics and natural philosophy, and also got some smattering of the chaldee and syriac tongues. at the age of nineteen priestley went to an "academy" at daventry. the intellectual atmosphere here seems to have been suitable to the rapid development of priestley's mind. great freedom of discussion was allowed; even during the teachers' lectures the students were permitted "to ask whatever questions and to make whatever remarks" they pleased; and they did it, priestley says, "with the greatest, but without any offensive, freedom." the students were required to read and to give an account of the more important arguments for and against the questions discussed in the teachers' lectures. theological disputations appear to have been the favourite topics on which the students exercised their ingenuity among themselves. priestley tells us that he "saw reason to embrace what is generally called the heterodox side of almost every question." leaving this academy, priestley went, in , as assistant to the dissenting minister at needham, in suffolk. here he remained for three years, living on a salary of about £ a year, and getting more and more into bad odour because of his peculiar theological views. from needham he moved to nantwich, in cheshire, where he was more comfortable, and, having plenty of work to do, he had little time for abstruse speculations. school work engaged most of his time at nantwich; he also began to collect a few scientific instruments, such as an electrical machine and an air-pump. these he taught his scholars to use and to keep in good order. he gave lectures on natural phenomena, and encouraged his scholars to make experiments and sometimes to exhibit their experiments before their parents and friends. he thus extended the reputation of his school and implanted in his scholars a love of natural knowledge. in the year priestley removed to warrington, to act as tutor in a newly established academy, where he taught languages--a somewhat wide subject, as it included lectures on "the theory of languages," on "oratory and criticism," and on "the history, laws, and constitution of england." he says, "it was my province to teach elocution, and also logic and hebrew. the first of these i retained, but after a year or two i exchanged the two last articles with dr. aikin for the civil law, and one year i gave a course of lectures on anatomy." during his stay at warrington, which lasted until , priestley married a daughter of mr. isaac wilkinson, an ironmaster of wrexham, in wales. he describes his wife as "a woman of an excellent understanding much improved by reading, of great fortitude and strength of mind, and of a temper in the highest degree affectionate and generous, feeling strongly for others and little for herself, also greatly excelling in everything relating to household affairs." about this time priestley met dr. franklin more than once in london. his conversation seems to have incited priestley to a further study of natural philosophy. he began to examine electrical phenomena, and this led to his writing and publishing a "history of electricity," in the course of which he found it necessary to make new experiments. the publication of the results of these experiments brought him more into notice among scientific men, and led to his election as a fellow of the royal society, and to his obtaining the degree of ll.d. from the university of edinburgh. in the year priestley removed to leeds, where he spent six years as minister of millhill chapel. he was able to give freer expression to his theological views in leeds than could be done in smaller places, such as needham and nantwich. during this time he wrote and published many theological and metaphysical treatises. but, what is of more importance to us, he happened to live near a brewery. now, the accidental circumstances, as we call them, of priestley's life were frequently of the greatest importance in their effects on his scientific work. black had established the existence and leading properties of fixed air about twelve or thirteen years before the time when priestley came to live near the brewery in leeds. he had shown that this fixed air is produced during alcoholic fermentation. priestley knowing this used to collect the fixed air which came off from the vats in the neighbouring brewery, and amuse himself with observing its properties. but removing from this part of the town his supplies of fixed air were stopped. as however he had become interested in working with airs, he began to make fixed air for himself from chalk, and in order to collect this air he devised a very simple piece of apparatus which has played a most important part in the later development of the chemistry of gases, or pneumatic chemistry. priestley's _pneumatic trough_ is at this day to be found in every laboratory; it is extremely simple and extremely perfect. a dish of glass, or earthenware, or wood is partly filled with water; a shelf runs across the dish at a little distance beneath the surface of the water; a wide-mouthed bottle is filled with water and placed, mouth downwards, over a hole in this shelf. the gas which is to be collected in this bottle is generated in a suitable vessel, from which a piece of glass or metal tubing passes under the shelf and stops just where the hole is made. the gas which comes from the apparatus bubbles up into the bottle, drives out the water, and fills the bottle. when the bottle is full of gas, it is moved to one side along the shelf, and another bottle filled with water is put in its place. as the mouth of each bottle is under water there is no connection between the gas inside and the air outside the bottle; the gas may therefore be kept in the bottle until the experimenter wants it. (see fig. . which is reduced from the cut in priestley's "air.") [illustration: fig. .] priestley tells us that at this time he knew very little chemistry, but he thinks that this was a good thing, else he might not have been led to make so many new discoveries as he did afterwards make. experimenting with fixed air, he found that water could be caused to dissolve some of the gas. in he published a pamphlet on the method of impregnating water with fixed air; this solution of fixed air in water was employed medicinally, and from this time we date the manufacture of artificial mineral waters. the next six years of priestley's life ( - ) are very important in the history of chemistry; it was during these years that much of his best work on various airs was performed. during this time he lived as a kind of literary companion (nominally as librarian) with the earl of shelburne (afterwards marquis of lansdowne.) his wife and family--he had now three children--lived at calne, in wiltshire, near lord shelburne's seat of bowood. priestley spent most of the summer months with his family, and the greater part of each winter with lord shelburne at his london residence; during this time he also travelled in holland and germany, and visited paris in . in a paper published in november , priestley says that he examined a specimen of air which he had extracted from saltpetre above a year before this date. this air "had by some means or other become noxious, but," he supposed, "had been restored to its former wholesome state, so as to effervesce with nitrous air" (in modern language, to combine with nitric oxide) "and to admit a candle to burn in it, in consequence of agitation with water." he tells us, in his "observations on air" ( ), that at this time he was altogether in the dark as to the nature of this air obtained from saltpetre. in august , he was amusing himself by observing the action of heat on various substances--"without any particular view," he says, "except that of extracting air from a variety of substances by means of a burning lens in quicksilver, which was then a new process with me, and which i was very proud of"--when he obtained from _red precipitate_ (oxide of mercury) an air in which a candle burned with a "remarkably vigorous flame." the production of this peculiar air "surprised me more than i can well express;" "i was utterly at a loss how to account for it." at first he thought that the specimen of _red precipitate_ from which the air had been obtained was not a proper preparation, but getting fresh specimens of this salt, he found that they all yielded the same kind of air. having satisfied himself by experiment that this peculiar air had "all the properties of common air, only in much greater perfection," he gave to it the name of _dephlogisticated air_. later experiments taught him that the same air might be obtained from red lead, from manganese oxide, etc., by the action of heat, and from various other salts by the action of acids. priestley evidently regards the new "dephlogisticated air" simply as very pure ordinary air; indeed, he seems to look on all airs, or gases, as easily changeable one into the other. he always interprets his experimental results by the help of the theory of phlogiston. one would indeed think from priestley's papers that the existence of this substance phlogiston was an unquestioned and unquestionable fact. thus, he says in the preface to his "experiments on air:" "if any opinion in all the modern doctrine concerning air be well founded, it is certainly this, that nitrous air is highly charged with phlogiston, and that from this quality only it renders pure air noxious.... if i have completely ascertained anything at all relating to air it is this." priestley thought that "very pure air" would take away phlogiston from some metals without the help of heat or any acid, and thus cause these metals to rust. he therefore placed some clean iron nails in _dephlogisticated air_ standing over mercury; after three months he noticed that about one-tenth of the air in the vessel had disappeared, and he concluded, although no rust appeared, that the dephlogisticated air had as a fact withdrawn phlogiston from the iron nails. this is the kind of reasoning which black described to his pupils as "mere waste of time and ingenuity." the experiment with the nails was made in ; at this time, therefore, priestley had no conception as to what his _dephlogisticated air_ really was. trying a great many experiments, and finding that the new air was obtained by the action of acids on earthy substances, priestley was inclined to regard this air, and if this then all other airs, as made up of an acid (or acids) and an earthy substance. we now know how completely erroneous this conclusion was, but we must remember that in priestley's time chemical substances were generally regarded as of no very definite or fixed composition; that almost any substance, it was supposed, might be changed into almost any other; that no clear meaning was attached to the word "element;" and that few, if any, careful measurements of the quantities of different kinds of matter taking part in chemical actions had yet been made. but at the same time we cannot forget that the books of hooke and mayow had been published years before this time, and that twenty years before priestley began his work on airs, black had published his exact, scientific investigation on fixed air. although we may agree with priestley that, had he made himself acquainted with what others had done before he began his own experiments, he might not have made so many new discoveries as he did, yet one cannot but think that his discoveries, although fewer, would have been more accurate. we are told by priestley that, when he was in paris in , he exhibited the method of obtaining dephlogisticated air from _red precipitate_ to lavoisier and other french chemists. we shall see hereafter what important results to science followed from this visit to lavoisier. let us shortly review priestley's answer to the question, "what happens when a substance burns in air?" beginning to make chemical experiments when he had no knowledge of chemistry, and being an extremely rapid worker and thinker, he naturally adopted the prevalent theory, and as naturally interpreted the facts which he discovered in accordance with this theory. when a substance burns, phlogiston, it was said, rushes out of it. but why does rapid burning only take place in air? because, said priestley, air has a great affinity for phlogiston, and draws it out of the burning substance. what then becomes of this phlogiston? we next inquire. the answer is, obviously it remains in the air around the burning body, and this is proved by the fact that this air soon becomes incapable of supporting the process of burning, it becomes phlogisticated. now, if phlogisticated air cannot support combustion, the greater the quantity of phlogiston in air, the less will it support burning; but we know that if a substance is burnt in a closed tube containing air, the air which remains when the burning is quite finished at once extinguishes a lighted candle. priestley also proved that an air can be obtained by heating _red precipitate_, characterized by its power of supporting combustion with great vigour. what is this but common air completely deprived of phlogiston? it is dephlogisticated air. now, if common air draws phlogiston out of substances, surely this dephlogisticated air will even more readily do the same. that it really does this priestley thought he had proved by his experiment with clean iron nails (see p. ). water was regarded as a substance which, like air, readily combined with phlogiston; but priestley thought that a candle burned less vigorously in dephlogisticated air which had been shaken with water than in the same air before this treatment; hence he concluded that phlogiston had been taken from the water. after cavendish had discovered (or rather rediscovered) hydrogen, and had established the fact that this air is extremely inflammable, most chemists began to regard this gas as pure or nearly pure phlogiston, or, at least, as a substance very highly charged with phlogiston. "now," said priestley, "when a metal burns phlogiston rushes out of it; if i restore this phlogiston to the metallic calx, i shall convert it back into the metal." he then showed by experiment that when calx of iron is heated with hydrogen, the hydrogen disappears and the metal iron is produced. he seemed, therefore, to have a large experimental basis for his answer to the question, "what happens when a substance burns?" but at a later time it was proved that iron was also produced by heating the calx of iron with carbon. the antiphlogistic chemists regarded fixed air as composed of carbon and dephlogisticated air; the phlogisteans said it was a substance highly charged with phlogiston. the antiphlogistic school said that calx of iron is composed of iron and dephlogisticated air; the phlogisteans said it was iron deprived of its phlogiston. here was surely an opportunity for a crucial experiment: when calx of iron is heated with carbon, and iron is produced, there must either be a production of fixed air (which is a non-inflammable gas, and forms a white solid substance when brought into contact with limewater), or there must be an outrush of phlogiston from the carbon. the experiment was tried: a gas was produced which had no action on limewater and which was very inflammable; what could this be but phlogiston, already recognized by this very property of extreme inflammability? thus the phlogisteans appeared to triumph. but if we examine these experiments made by priestley with the light thrown on them by subsequent research, we find that they bear the interpretation which he put on them only because they were not accurate; thus, two gases are inflammable, but it by no means follows that these gases are one and the same. we must have more accurate knowledge of the properties of these gases. the air around a burning body, such as iron, after a time loses the power of supporting combustion; but this is merely a qualitative fact. accurately to trace the change in the properties of this air, it is absolutely necessary that exact measurements should be made; when this is done, we find that the volume of air diminishes during the combustion, that the burning body gains weight, and that this gain in weight is just equal to the loss in weight undergone by the air. when the inflammable gas produced by heating calx of iron with carbon was carefully and _quantitatively_ analyzed, it was found to consist of carbon and oxygen (dephlogisticated air), but to contain these substances in a proportion different from that in which they existed in fixed air. it was a new kind of air or gas; it was _not_ hydrogen. this account of priestley's experiments and conclusions regarding combustion shows how easy it is in natural science to interpret experimental results, especially when these results are not very accurate, in accordance with a favourite theory; and it also illustrates one of the lessons so emphatically taught by all scientific study, viz. the necessity of suspending one's judgment until accurate measurements have been made, and the great wisdom of then judging cautiously. about priestley left lord shelburne, and went as minister of a chapel to birmingham, where he remained until . during his stay in birmingham, priestley had a considerable amount of pecuniary help from his friends. he had from lord shelburne, according to an agreement made when he entered his service, an annuity of £ a year for life; some of his friends raised a sum of money annually for him, in order that he might be able to prosecute his researches without the necessity of taking pupils. during the ten years or so after he settled in birmingham, priestley did a great deal of chemical work, and made many discoveries, almost entirely in the field of pneumatic chemistry. besides the discovery of dephlogisticated air (or oxygen) which has been already described, priestley discovered and gave some account of the properties of _nitrous air_ (nitric acid), _vitriolic acid air_ (sulphur dioxide), _muriatic acid air_ (hydrochloric acid), and _alkaline air_ (ammonia), etc. in the course of his researches on the last-named air he showed, that when a succession of electric sparks is passed through this gas a great increase in the volume of the gas occurs. this fact was further examined at a later time by berthollet, who, by measuring the increase in volume undergone by a measured quantity of ammonia gas, and determining the nature of the gases produced by the passage of the electric sparks, proved that ammonia is a compound of hydrogen and nitrogen, and that three volumes of the former gas combine with one volume of the latter to produce two volumes of ammonia gas. priestley's experiments on "inflammable air"--or hydrogen--are important and interesting. the existence of this substance as a definite kind of air had been proved by the accurate researches of cavendish in . priestley drew attention to many actions in which this inflammable air is produced, chiefly to those which take place between acids and metals. he showed that inflammable air is not decomposed by electric sparks; but he thought that it was decomposed by long-continued heating in closed tubes made of lead-glass. priestley regarded inflammable air as an air containing much phlogiston. he found that tubes of lead-glass, filled with this air, were blackened when strongly heated for a long time, and he explained this by saying that the lead in the glass had a great affinity for phlogiston, and drew it out of the inflammable air. when inflammable air burns in a closed vessel containing common air, the latter after a time loses its property of supporting combustion. priestley gave what appeared to be a fairly good explanation of this fact, when he said that the inflammable air parted with phlogiston, which, becoming mixed with the ordinary air in the vessel, rendered it unable to support the burning of a candle. he gave a few measurements in support of this explanation; but we now know that the method of analysis which he employed was quite untrustworthy. thinking that by measuring the extent to which the _phlogistication_ (we would now say the _deoxidation_) of common air was carried by mixing measured quantities of common and inflammable airs and exploding this mixture, he might be able to determine the amount of phlogiston in a given volume of inflammable air, he mixed the two airs in glass tubes, through the sides of which he had cemented two pieces of wire, sealed the tubes, and exploded the mixture by passing electric sparks from wire to wire. the residual air now contained, according to priestley, more phlogiston, and therefore relatively less dephlogisticated air than before the explosion. he made various measurements of the quantities of dephlogisticated air in the tubes, but without getting any constant results. he noticed that after the explosions the insides of the tubes were covered with moisture. at a later time he exploded a mixture of dephlogisticated and inflammable airs (oxygen and hydrogen) in a copper globe, and recorded the fact that after the explosion the globe contained a little water. priestley was here apparently on the eve of a great discovery. "in looking for one thing," says priestley, "i have generally found another, and sometimes a thing of much more value than that which i was in quest of." had he performed the experiment of exploding dephlogisticated and inflammable airs with more care, and had he made sure that the airs used were quite dry before the explosion, he would probably have found a thing of indeed much more value than that of which he was in quest; he would probably have discovered the compound nature of water--a discovery which was made by cavendish three or four years after these experiments described by priestley. some very curious observations were made by priestley regarding the colour of the gas obtained by heating "spirit of nitre" (_i.e._ nitric acid). he showed that a yellow gas or air is obtained by heating colourless liquid spirit of nitre in a sealed glass tube, and that as the heating is continued the colour of the gas gets darker, until it is finally very dark orange red. these experiments have found an explanation only in quite recent times. another discovery made by priestley while in birmingham, viz. that an acid is formed when electric sparks are passed through ordinary air for some time, led, in the hands of cavendish--an experimenter who was as careful and deliberate as priestley was rapid and careless--to the demonstration of the composition of nitric acid. many observations were made by priestley on the effects of various airs on growing plants and living animals; indeed, one of his customary methods of testing different airs was to put a mouse into each and watch the effects of the air on its breathing. he grew sprigs of mint in common air, in dephlogisticated air (oxygen), and in phlogisticated air (nitrogen, but probably not pure); the sprig in the last-named air grew best, while that in the dephlogisticated air soon appeared sickly. he also showed that air which has been rendered "noxious" by the burning of a candle in it, or by respiration or putrefaction, could be restored to its original state by the action of growing plants. he thought that the air was in the first instance rendered noxious by being impregnated with phlogiston, and that the plant restored the air by removing this phlogiston. thus priestley distinctly showed that (to use his own words) "it is very probable that the injury which is continually done to the atmosphere by the respiration of such a number of animals as breathe it, and the putrefaction of such vast masses, both of vegetable and animal substances, exposed to it, is, in part at least, repaired by the vegetable creation." but from want of quantitative experiments he failed to give any just explanation of the process whereby this "reparation" is accomplished. during his stay in birmingham, priestley was busily engaged, as was his wont during life, in writing metaphysical and theological treatises and pamphlets. at this time the minds of men in england were much excited by the events of the french revolution, then being enacted before them. priestley and some of his friends were known to sympathize with the french people in this great struggle, as they had been on the side of the americans in the war of independence. priestley's political opinions had, in fact, always been more advanced than the average opinion of his age; by some he was regarded as a dangerous character. but if we read what he lays down as a fundamental proposition in the "essay on the first principles of civil government" ( ), we cannot surely find anything very startling. "it must be understood, whether it be expressed or not, that all people live in society for their mutual advantage; so that the good and happiness of the members, that is the majority of the members of any state, is the great standard by which everything relating to that state must be finally determined. and though it may be supposed that a body of people may be bound by a voluntary resignation of all their rights to a single person, or to a few, it can never be supposed that the resignation is obligatory on their posterity, because it is manifestly contrary to the good of the whole that it should be so." priestley proposed many political reforms, but he was decidedly of opinion that these ought to be brought about gradually. he was in favour of abolishing all religious state establishments, and was a declared enemy to the church of england. his controversies with the clergy of birmingham helped to stir up a section of public opinion against him, and to bring about the condemnation of his writings in many parts of the country; he was also unfortunate in making an enemy of mr. burke, who spoke against him and his writings in the house of commons. in the year , the day of the anniversary of the taking of the bastille was celebrated by some of priestley's friends in birmingham. on that day a senseless mob, raising the cry of "church and king," caused a riot in the town. finding that they were not checked by those in authority, they after a time attacked and burned dr. priestley's meeting-house, and then destroyed his dwelling-house, and the houses of several other dissenters in the town. one of his sons barely escaped with his life. he himself found it necessary to leave birmingham for london, as he considered his life to be in danger. many of his manuscripts, his library, and much of his apparatus were destroyed, and his house was burned. a congregation at hackney had the courage at this time to invite priestley to become their minister. here he remained for about three years, ministering to the congregation, and pursuing his chemical and other experiments with the help of apparatus and books which had been supplied by his friends, and by the expenditure of part of the sum, too small to cover his losses, given him by government in consideration of the damage done to his property in the riots at birmingham. but finding himself more and more isolated and lonely, especially after the departure of his three sons to america, which occurred during these years, he at last resolved to follow them, and spend the remainder of his days in the new world. although priestley had been very badly treated by a considerable section of the english people, yet he left his native country "without any resentment or ill will." "when the time for reflection," he says, "shall come, my countrymen will, i am confident, do me more justice." he left england in , and settled at northumberland, in pennsylvania, about a hundred and thirty miles north-west of philadelphia. by the help of his friends in england he was enabled to build a house and establish a laboratory and a library; an income was also secured sufficient to maintain him in moderate comfort. the chair of chemistry in the university of philadelphia was offered to him, and he was also invited to the charge of a unitarian chapel in new york; but he preferred to remain quietly at work in his laboratory and library, rather than again to enter into the noisy battle of life. in america he published several writings. of his chemical discoveries made after leaving england, the most important was that an inflammable gas is obtained by heating metallic calces with carbon. the production of this gas was regarded by priestley as an indisputable proof of the justness of the theory of phlogiston (see pp. , ). his health began to give way about ; gradually his strength declined, and in february , the end came quietly and peacefully. a list of the books and pamphlets published by priestley on theological, metaphysical, philological, historical, educational and scientific subjects would fill several pages of this book. his industry was immense. to accomplish the vast amount of work which he did required the most careful outlay of time. in his "memoirs," partly written by himself, he tells us that he inherited from his parents "a happy temperament of body and mind;" his father especially was always in good spirits, and "could have been happy in a workhouse." his paternal ancestors had, as a race, been healthy and long-lived. he was not himself robust as a youth, yet he was always able to study: "i have never found myself," he says, "less disposed or less qualified for mental exertion of any kind at one time of the day more than another; but all seasons have been equal to me, early or late, before dinner or after." his peculiar evenness of disposition enabled him quickly to recover from the effects of any unpleasant occurrence; indeed, he assures us that "the most perfect satisfaction" often came a day or two after "an event that afflicted me the most, and without any change having taken place in the state of things." another circumstance which tended to make life easy to him was his fixed resolution, that in any controversy in which he might be engaged, he would frankly acknowledge every mistake he perceived himself to have fallen into. priestley's scientific work is marked by rapidity of execution. the different parts do not hang together well; we are presented with a brilliant series of discoveries, but we do not see the connecting strings of thought. we are not then astonished when he tells us that sometimes he forgot that he had made this or that experiment, and repeated what he had done weeks before. he says that he could not work in a hurry, and that he was therefore always methodical; but he adds that he sometimes blamed himself for "doing to-day what had better have been put off until to-morrow." many of his most startling discoveries were the results of chance operations, "not of themes worked out and applied." he was led to the discovery of oxygen, he says, by a succession of extraordinary accidents. but that he was able to take advantage of the chance observations, and from these to advance to definite facts, constitutes the essential difference between him and ordinary plodding investigators. although he rarely, if ever, saw all the bearings of his own discoveries, although none of his experiments was accurately worked out to its conclusion, yet he did see, rapidly and as it appeared almost at one glance, something of their meanings, and this something was enough to urge him on to fresh experimental work. although we now condemn priestley's theories as quite erroneous, yet we must admire his undaunted devotion to experiment. he was a true student of science in one essential point, viz. nature was for him the first and the last court of appeal. he theorized and speculated much, he experimented rapidly and not accurately, but he was ever appealing to natural facts; and in doing this he could not but lay some foundation which should remain. the facts discovered by him are amongst the very corner-stones on which the building of chemical science was afterwards raised. so enthusiastic was priestley in the prosecution of his experiments, that when he began, he tells us, "i spent all the money i could possibly raise, carried on by my ardour in philosophical investigation, and entirely regardless of consequences, except so far as never to contract any debts." he seems all through his life to have been perfectly free from anxiety about money affairs. priestley's manner of work shows how kindly and genial he was. he trained himself to talk and think and write with his family by the fireside; "nothing but reading aloud, or speaking without interruption," was an obstruction to his work. priestley was just the man who was wanted in the early days of chemical science. by the vast number, variety and novelty of his experimental results, he astonished scientific men--he forcibly drew attention to the science in which he laboured so hard; by the brilliancy of some of his experiments he obliged chemists to admit that a new field of research was opened before them, and the instruments for the prosecution of this research were placed in their hands; and even by the unsatisfactoriness of his reasoning he drew attention to the difficulties and contradictions of the theories which then prevailed in chemistry. that the work of priestley should bear full fruit it was necessary that a greater than he should interpret it, and should render definite that which priestley had but vaguely shown to exist. the man who did this, and who in doing it really established chemistry as a science, was lavoisier. but before considering the work of lavoisier, i should like to point out that many of the physical characters of common air had been clearly established in the later years of the seventeenth century by the honourable robert boyle. in the "sceptical chymist," published in , mr. boyle had established the fact that air is a material substance possessed of weight, that this air presses on the surface of all things, and that by removing part of the air in an enclosed space the pressure within that space is diminished. he had demonstrated that the boiling point of water is dependent on the pressure of the air on the surface of the water. having boiled some water "a pretty while, that by the heat it might be freed from the latitant air," he placed the vessel containing the hot water within the receiver of an arrangement which he had invented for sucking air out of an enclosed space; as soon as he began to suck out air from this receiver, the water boiled "as if it had stood over a very quick fire.... once, when the air had been drawn out, the liquor did, upon a single exsuction, boil so long with prodigiously vast bubbles, that the effervescence lasted almost as long as was requisite for the rehearsing of a _pater noster_." boyle had gone further than the qualitative fact that the volume of an enclosed quantity of air alters with changes in the pressure to which that air is subjected; he had shown by simple and accurate experiments that "the volume varies inversely as the pressure." he had established the generalization of so much importance in physical science now known as _boyle's law_. the work of the honourable henry cavendish will be considered in some detail in the book on "the physicists" belonging to this series, but i must here briefly allude to the results of his experiments on air published in the _philosophical transactions_ for and . cavendish held the ordinary view that when a metal burns in air, the air is thereby phlogisticated; but why is it, he asked, that the volume of air is decreased by this process? it was very generally said that fixed air was produced during the calcination of metals, and was absorbed by the calx. but cavendish instituted a series of experiments which proved that no fixed air could be obtained from metallic calces. in inflammable air (hydrogen) was discovered by cavendish; he now proved that when this air is exploded with dephlogisticated air (oxygen), water is produced. he showed that when these two airs are mixed in about the proportion of two volumes of hydrogen to one volume of oxygen, the greater part, if not the whole of the airs is condensed into water by the action of the electric spark. he then proceeded to prove by experiments that when common air is exploded with inflammable air water is likewise produced, and phlogisticated air (_i.e._ nitrogen) remains. priestley and cavendish had thus distinctly established the existence of three kinds of air, viz. dephlogisticated air, phlogisticated air, and inflammable air. cavendish had shown that when the last named is exploded with common air water is produced (which is composed of dephlogisticated and inflammable airs), and phlogisticated air remains. common air had thus been proved to consist of these two--phlogisticated and dephlogisticated airs (nitrogen and oxygen). applying these results to the phenomenon of the calcination of metals, cavendish gave reasons for thinking that the metals act towards common air in a manner analogous to that in which inflammable air acts--that they withdraw dephlogisticated and leave phlogisticated air; but, as he was a supporter of the phlogistic theory, he rather preferred to say that the burning metals withdraw dephlogisticated air and phlogisticate that which remains; in other words, while admitting that a metal in the process of burning gains dephlogisticated air, he still thought that the metal also loses _something_; viz. phlogiston. that cavendish in - had proved air to consist of two distinct gases, and water to be produced by the union of two gases, must be remembered as we proceed with the story of the discoveries of lavoisier. * * * * * antoine laurent lavoisier, born in paris in , was the son of a wealthy merchant, who, judging from his friendship with many of the men of science of that day, was probably of a scientific bent of mind, and who certainly showed that he was a man of sense by giving his son the best education which he could obtain. after studying in the mazarin college, lavoisier entered on a course of training in physical, astronomical, botanical and chemical science. the effects of this training in the accurate methods of physics are apparent in the chemical researches of lavoisier. at the age of twenty-one lavoisier wrote a memoir which gained the prize offered by the french government for the best and most economical method of lighting the streets of a large city. while making experiments, the results of which were detailed in this paper, lavoisier lived for six weeks in rooms lighted only by artificial light, in order that his eyesight might become accustomed to small differences in the intensities of light from various sources. when he was twenty-five years old lavoisier was elected a member of the academy of sciences. during the next six years ( - ) he published various papers, some on chemical, some on geological, and some on mathematical subjects. indeed at this time, although an ardent cultivator of natural science, he appears to have been undecided as to which branch of science he should devote his strength. the accuracy and thoroughness of lavoisier's work, and the acuteness of his reasoning powers, are admirably illustrated in two papers, published in the memoirs of the academy for , on the alleged conversion of water into earth. when water is boiled for a long time in a glass vessel a considerable quantity of white siliceous earth is found in the vessel. this apparent conversion or transmutation of water into earthy matter was quite in keeping with the doctrines which had been handed down from the times of the alchemists; the experiment was generally regarded as conclusively proving the possibility of changing water into earth. lavoisier found that after heating water for a hundred and one days in a closed _and weighed_ glass vessel, there was no change in the total weight of the vessel and its contents; when he poured out the water and evaporated it to dryness, he obtained . grains of solid earthy matter; but he also found, what had been before overlooked, that the glass vessel had lost weight. the actual loss amounted to . grains. the difference between this and the weight of the earthy matter in the water, viz. three grains, was set down (and as we now know justly set down) by lavoisier to errors of experiment. lavoisier therefore concluded that water, when boiled, is not changed into earth, but that a portion of the earthy matter of which glass is composed is dissolved by the water. this conclusion was afterwards confirmed by the swedish chemist _scheele_, who proved that the composition of the earthy matter found in the water is identical with that of some of the constituents of glass. by this experiment lavoisier proved the old alchemical notion of transmutation to be erroneous; he showed that water is not transmuted into earth, but that each of these substances is possessed of definite properties which belong to it and to it only. he established the all-important generalization--which subsequent research has more amply confirmed, until it is to-day accepted as the very foundation of every branch of physical science--that in no process of change is there any alteration in the total mass of matter taking part in that change. the glass vessel in which lavoisier boiled water for so many days lost weight; but the matter lost by the glass was found dissolved in the water. we know that this generalization holds good in all chemical changes. solid sulphur may be converted into liquid oil of vitriol, but it is only by the sulphur combining with other kinds of matter; the weight of oil of vitriol produced is always exactly equal to the sum of the weights of the sulphur, hydrogen and oxygen which have combined to form it. the colourless gases, hydrogen and oxygen, combine, and the limpid liquid water is the result; but the weight of the water produced is equal to the sum of the weights of hydrogen and oxygen which combined together. it is impossible to overrate the importance of the principle of the _conservation of mass_, first definitely established by lavoisier. some time about the year lavoisier turned his attention seriously to chemical phenomena. in he published a volume entitled "essays physical and chemical," wherein he gave an historical account of all that had been done on the subject of airs from the time of paracelsus to the year , and added an account of his own experiments, in which he had established the facts that a metal in burning absorbs air, and that when the metallic calx is reduced to metal by heating with charcoal, an air is produced of the same nature as the fixed air of dr. black. in november lavoisier deposited a sealed note in the hands of the secretary to the academy of sciences. this note was opened on the st of may , and found to run as follows[ ]:-- "about eight days ago i discovered that sulphur in burning, far from losing, augments in weight; that is to say, that from one pound of sulphur much more than one pound of vitriolic acid is obtained, without reckoning the humidity of the air. phosphorus presents the same phenomenon. this augmentation of weight arises from a great quantity of air which becomes fixed during the combustion, and which combines with the vapours. "this discovery, confirmed by experiments which i regard as decisive, led me to think that what is observed in the combustion of sulphur and phosphorus might likewise take place with respect to all the bodies which augment in weight by combustion and calcination; and i was persuaded that the augmentation of weight in the calces of metals proceeded from the same cause. the experiment fully confirmed my conjectures. "i operated the reduction of litharge in closed vessels with hale's apparatus, and i observed that at the moment of the passage of the calx into the metallic state, there was a disengagement of air in considerable quantity, and that this air formed a volume at least one thousand times greater than that of the litharge employed. "as this discovery appears to me one of the most interesting which has been made since stahl, i thought it expedient to secure to myself the property, by depositing the present note in the hands of the secretary of the academy, to remain secret till the period when i shall publish my experiments. "lavoisier. "paris, th november ." in his paper "on the calcination of tin in closed vessels, and on the cause of increase of weight acquired by the metal during this process" (published in ), we see and admire lavoisier's manner of working. a weighed quantity (about half a pound) of tin was heated to melting in a glass retort, the beak of which was drawn out to a very small opening; the air within the retort having expanded, the opening was closed by melting the glass before the blowpipe. the weight of retort and tin was now noted; the tin was again heated to its melting point, and kept at this temperature as long as the process of calcination appeared to proceed; the retort and its contents were then allowed to cool and again weighed. no change was caused by the heating process in the total weight of the whole apparatus. the end of the retort beak was now broken off; air rushed in with a hissing sound. the retort and contents were again weighed, and the increase over the weight at the moment of sealing the retort was noted. the calcined tin in the retort was now collected and weighed. it was found that the increase in the weight of the tin was equal to the weight of the air which rushed into the retort. hence lavoisier concluded that the calcination of tin was accompanied by an absorption of air, and that the difference between the weights of the tin and the calx of tin was equal to the weight of air absorbed; but he states that probably only a part of the air had combined with the tin, and that hence air is not a simple substance, but is composed of two or more constituents. between the date of this publication and that of lavoisier's next paper on combustion we know that priestley visited paris. in his last work, "the doctrine of phlogiston established" (published in ), priestley says, "having made the discovery of dephlogisticated air some time before i was in paris in , i mentioned it at the table of mr. lavoisier, when most of the philosophical people in the city were present; saying that it was a kind of air in which a candle burned much better than in common air, but i had not then given it any name. at this all the company, and mr. and mrs. lavoisier as much as any, expressed great surprise. i told them that i had got it from _precipitatum per se_, and also from _red lead_." in lavoisier's paper, "on the nature of the principle which combines with the metals during their calcination, and which augments their weight," was read before the academy. the preparation and properties of an air obtained, in november , from _red precipitate_ are described, but priestley's name is not mentioned. it seems probable, however, that lavoisier learned the existence and the mode of preparation of this air from priestley;[ ] but we have seen that even in priestley was quite in the dark as to the true nature of the air discovered by him (p. ). in papers published in the next three or four years lavoisier gradually defined and more thoroughly explained the phenomenon of combustion. he burned phosphorus in a confined volume of air, and found that about one-fourth of the air disappeared, that the residual portion of air was unable to support combustion or to sustain animal life, that the phosphorus was converted into a white substance deposited on the sides of the vessel in which the experiment was performed, and that for each grain of phosphorus used about two and a half grains of this white solid were obtained. he further described the properties of the substance produced by burning phosphorus, gave it the name of _phosphoric acid_, and described some of the substances formed by combining it with various bases. the burning of candles in air was about this time studied by lavoisier. he regarded his experiments as proving that the air which remained after burning a candle, and in which animal life could not be sustained, was really present before the burning; that common air consisted of about one-fourth part of dephlogisticated air and three-fourths of _azotic air_ (_i.e._ air incapable of sustaining life); and that the burning candle simply combined with, and so removed the former of these, and at the same time produced more or less fixed air. in his treatise on chemistry lavoisier describes more fully his proof that the calcination of a metal consists in the removal, by the metal, of dephlogisticated air (or oxygen) from the atmosphere, and that the metallic calx is simply a compound of metal and oxygen. the experiments are strictly quantitative and are thoroughly conclusive. he placed four ounces of pure mercury in a glass balloon, the neck of which dipped beneath the surface of mercury in a glass dish, and then passed a little way up into a jar containing fifty cubic inches of air, and standing in the mercury in the dish. there was thus free communication between the air in the balloon and that in the glass jar, but no communication between the air inside and that outside the whole apparatus. the mercury in the balloon was heated nearly to its boiling point for twelve days, during which time red-coloured specks gradually formed on the surface of the metal; at the end of this time it was found that the air in the glass jar measured between forty-two and forty-three cubic inches. the red specks when collected amounted to forty-five grains; they were heated in a very small retort connected with a graduated glass cylinder containing mercury. between seven and eight cubic inches of pure dephlogisticated air (oxygen) were obtained in this cylinder, and forty-one and a half grains of metallic mercury remained when the decomposition of the red substance was completed. the conclusion drawn by lavoisier from these experiments was that mercury, when heated nearly to boiling in contact with air, withdraws oxygen from the air and combines with this gas to form _red precipitate_, and that when the red precipitate which has been thus formed is strongly heated, it parts with the whole of its oxygen, and is changed back again into metallic mercury. lavoisier had now ( - ) proved that the calces of mercury, tin and lead are compounds of these metals with oxygen; and that the oxygen is obtained from the atmosphere when the metal burns. but the phlogistic chemistry was not yet overthrown. we have seen that the upholders of phlogiston believed that in the inflammable air of cavendish they had at last succeeded in obtaining the long-sought-for phlogiston. now they triumphantly asked, why, when metals dissolve in diluted vitriolic or muriatic acid with evolution of inflammable air, are calces of these metals produced? and they answered as triumphantly, because these metals lose phlogiston by this process, and we know that a calx is a metal deprived of its phlogiston. lavoisier contented himself with observing that a metallic calx always weighed more than the metal from which it was produced; and that as inflammable air, although much lighter than common air, was distinctly possessed of weight, it was not possible that a metallic calx could be metal deprived of inflammable air. he had given a simple explanation of the process of calcination, and had proved, by accurate experiments, that this explanation was certainly true in some cases. although all the known facts about solution of metals in acids could not as yet be brought within his explanation, yet none of these facts was absolutely contradictory of that explanation. he was content to wait for further knowledge. and to gain this further knowledge he set about devising and performing new experiments. the upholders of the theory of phlogiston laid considerable stress on the fact that metals are produced by heating metallic calces in inflammable air; the air is absorbed, they said, and so the metal is reproduced. it was obviously of the utmost importance that lavoisier should learn more about this inflammable air, and especially that he should know exactly what happened when this air was burned. he therefore prepared to burn a large quantity of inflammable air, arranging the experiment so that he should be able to collect and examine the product of this burning, whatever should be the nature of that product. but at this time the news was brought to paris that cavendish had obtained water by burning mixtures of inflammable and dephlogisticated airs. this must have been a most exciting announcement to lavoisier; he saw how much depended on the accuracy of this statement, and as a true student of nature, he at once set about to prove or disprove it. on the th of june , in the presence of the king and several notabilities (including sir charles blagden, secretary of the royal society, who had told lavoisier of the experiments of cavendish), lavoisier and laplace burned inflammable and dephlogisticated airs, and obtained water. as the result of these experiments they determined that one volume of dephlogisticated air combines with . volumes of inflammable air to form water. a little later lavoisier completed the proof of the composition of water by showing that when steam is passed through a tube containing iron filings kept red hot, inflammable air is evolved and calx of iron remains in the tube. lavoisier could now explain the conversion of a metallic calx into metal by the action of inflammable air; this air decomposes the calx--that is, the metallic oxide--combines with its oxygen to form water, and so the metal is produced. when a metal is dissolved in diluted vitriolic or muriatic acid a calx is formed, because, according to lavoisier, the water present is decomposed by the metal, inflammable air is evolved, and the dephlogisticated air of the water combines with the metal forming a calx, which then dissolves in the acid. lavoisier now studied the properties of the compounds produced by burning phosphorus, sulphur and carbon in dephlogisticated air. he found that solutions of these compounds in water had a more or less sour taste and turned certain blue colouring matters red; but these were the properties regarded as especially belonging to acids. these products of combustion in dephlogisticated air were therefore acids; but as phosphorus, carbon and sulphur were not themselves acids, the acid character of the substances obtained by burning these bodies in dephlogisticated air must be due to the presence in them of this air. hence lavoisier concluded that this air is the substance the presence of which in a compound confers acid properties on that compound. this view of the action of dephlogisticated air he perpetuated in the name "oxygen" (from greek, = _acid-producer_), which he gave to dephlogisticated air, and by which name this gas has ever since been known. priestley was of opinion that the atmosphere is rendered noxious by the breathing of animals, because it is thereby much phlogisticated, and he thought that his experiments rendered it very probable that plants are able to purify this noxious air by taking away phlogiston from it (see p. ). but lavoisier was now able to give a much more definite account of the effects on the atmosphere of animal and vegetable life. he had already shown that ordinary air contains oxygen and azote (nitrogen), and that the former is alone concerned in the process of combustion. he was now able to show that animals during respiration draw in air into their lungs: that a portion of the oxygen is there combined with carbon to form carbonic acid gas (as the fixed air of black was now generally called), which is again expired along with unaltered azote. respiration was thus proved to be a process chemically analogous to that of calcination. thus, about the year - , the theory of phlogiston appeared to be quite overthrown. the arguments of its upholders, after this time, were not founded on facts; they consisted of fanciful interpretations of crudely performed experiments. cavendish was the only opponent to be dreaded by the supporters of the new chemistry. but we have seen that although cavendish retained the language of the phlogistic theory (see pp. , ) as in his opinion equally applicable to the facts of combustion with that of the new or lavoisierian theory, he nevertheless practically admitted the essential point of the latter, viz. that calces are compounds of metal and oxygen (or dephlogisticated air). although cavendish was the first to show that water is produced when the two gases hydrogen and oxygen are exploded together, it would yet appear that he did not fully grasp the fact that water is a compound of these two gases; it was left to lavoisier to give a clear statement of this all-important fact, and thus to remove the last prop from under the now tottering, but once stately edifice built by stahl and his successors. the explanation given by lavoisier of combustion was to a great extent based on a conception of element and compound very different from that of the older chemists. in the "sceptical chymist" ( ) boyle had argued strongly against the doctrine of the four "elementary principles," earth, air, fire and water, as held by the "vulgar chymists." the existence of these principles, or some of them, in every compound substance was firmly held by most chemists in boyle's time. they argued thus: when a piece of green wood bums, the existence in the wood of the principle of fire is made evident by the flame, of the principle of air by the smoke which ascends, of that of water by the hissing and boiling sound, and of the principle of earth by the ashes which remain when the burning is finished.[ ] boyle combated the inference that because a flame is visible round the burning wood, and a light air or smoke ascends from it, _therefore_ these principles were contained in the wood before combustion began. he tried to prove by experiments that one substance may be obtained from another in which the first substance did not already exist; thus, he heated water for a year in a closed glass vessel, and obtained solid particles heavier than, and as he supposed formed from, the water. we have already learned the true interpretation of this experiment from the work of lavoisier. boyle grew various vegetables in water only, and thought that he had thus changed water into solid vegetable matter. he tells travellers' tales of the growth of pieces of iron and other metals in the earth or while kept in underground cellars. we now know how erroneous in most points this reasoning was, but we must admit that boyle established one point most satisfactorily, viz. that because earth, or air, or fire, or water is obtained by heating or otherwise decomposing a substance, it does not necessarily follow that the earth, or air, or fire, or water existed as such in the original substance. he overthrew the doctrine of elementary principles held by the "vulgar chymists." defining elements as "certain primitive and simple bodies which, not being made of any other bodies, or of one another, are the ingredients of which all those called perfectly mixt bodies are immediately compounded, and into which they are ultimately resolved," boyle admitted the _possible_ existence, but thought that the facts known at his time did not warrant the assertion of the _certain_ existence, of such "elements." the work of hooke and mayow on combustion tended to strengthen this definition of "element" given by boyle. black, as we have seen, clearly proved that certain chemical substances were possessed of definite and unvarying composition and properties; and lavoisier, indirectly by his explanation of combustion, and directly in his "treatise on chemistry", laid down the definition of "element" which is now universally adopted. an element is a substance from which no simpler forms of matter--that is, no forms of matter each weighing less than the original substance--have _as yet_ been obtained. in the decade - chemical science was thus established on a sure foundation by lavoisier. like most great builders, whether of physical or mental structures, he used the materials gathered by those who came before him, but the merit of arranging these materials into a well-laid foundation, on which the future building might firmly rest, is due to him alone. the value of lavoisier's work now began to be recognized by his fellow-chemists in france. in berthollet, one of the most rising of the younger french chemists, declared himself a convert to the views of lavoisier on combustion. fourcroy, another member of the academy, soon followed the example of berthollet. fourcroy, knowing the weakness of his countrymen, saw that if the new views could be made to appear as especially the views of frenchmen, the victory would be won; he therefore gave to the theory of lavoisier the name "_la chimie française_". although this name was obviously unfair to lavoisier, it nevertheless caused the antiphlogistic theory to be identified with the french chemists, and succeeded in impressing the french public generally with the idea that to hold to the old theory was to be a traitor to the glory of one's country. m. de morveau, who held a prominent place both in politics and science, was invited to paris, and before long was persuaded to embrace the new theory. this conversion--for "the whole matter was managed as if it had been a political intrigue rather than a philosophical inquiry"--was of great importance to lavoisier and his friends. m. de morveau was editor of the chemical part of the "encyclopédie méthodique;" in that part of this work which had appeared before de morveau had skilfully opposed the opinions of lavoisier, but in the second part of the work he introduced an advertisement announcing the change in his opinions on the subject of combustion, and giving his reasons for this change. the importance of having a definite language in every science is apparent at each step of advance. lavoisier found great difficulty in making his opinions clear because he was obliged to use a language which had been introduced by the phlogistic chemists, and which bore the impress of that theory on most of its terms. about the years - , lavoisier, berthollet, fourcroy and de morveau drew up a new system of chemical nomenclature. the fundamental principles of that system have remained as those of every nomenclature since proposed. they are briefly these:-- an element is a substance from which no form of matter simpler than itself has as yet been obtained. every substance is to be regarded as an element until it is proved to be otherwise. the name of every compound is to tell of what elements the substance is composed, and it is to express as far as possible the relative amounts of the elements which go to form the compound. thus the compounds of oxygen with any other element were called oxides, _e.g._ iron oxide, mercury oxide, tin oxide, etc. when two oxides of iron came to be known, one containing more oxygen relatively to the amount of iron present than the other, that with the greater quantity of oxygen was called iron peroxide, and that with the smaller quantity iron protoxide. we now generally prefer to use the name of the element other than oxygen in adjectival form, and to indicate the relatively smaller or greater quantity of oxygen present by modifications in the termination of this adjective. thus iron protoxide is now generally known as ferr_ous_ oxide, and iron peroxide as ferr_ic_ oxide. but the principles laid down by the four french chemists in - remain as the groundwork of our present system of nomenclature. the antiphlogistic theory was soon adopted by all french chemists of note. we have already seen that black, with his usual candour and openness to conviction, adopted and taught this theory, and we are assured by dr. thomas thomson that when he attended black's classes, nine years after the publication of the french system of nomenclature, that system was in general use among the chemical students of the university. the older theory was naturally upheld by the countrymen of the distinguished stahl after it had been given up in france. in the year klaproth, who was then professor of chemistry in berlin, proposed to the berlin academy of sciences to repeat the more important experiments on which the lavoisierian theory rested, before the academy. his offer was accepted, and from that time most of the berlin chemists declared themselves in favour of the new theory. by the close of last century the teaching of lavoisier regarding combustion found almost universal assent among chemists. but this teaching carried with it, as necessary parts, the fundamental distinction between element and compound; the denial of the existence of "principles" or "essences;" the recognition of the study of actually occurring reactions between substances as the basis on which all true chemical knowledge was to be built; and the full acknowledgment of the fact that matter is neither created nor destroyed, but only changed as to its form, in any chemical reaction. of lavoisier's other work i can only mention the paper on "specific heats" contributed by laplace and lavoisier to the memoirs of the academy for . in this paper is described the ice calorimeter, whereby the amount of heat given out by a substance in cooling from one definite temperature to another is determined, by measuring the amount of ice converted into water by the heated substance in cooling through the stated interval of temperature. the specific heats of various substances, _e.g._ iron, glass, mercury, quicklime, etc., were determined by the help of this instrument. as we read the record of work done by lavoisier during the years between and --work which must have involved a great amount of concentrated thought as well as the expenditure of much time--we find it hard to realize that the most tremendous political and social revolution which the modern world has seen was raging around him during this time. in the earlier days of the french revolution, and in the time immediately preceding that movement, many minds had been stirred to see the importance of the study of nature; but it was impossible that natural science should continue to flourish when the tyrant robespierre had begun the reign of terror. the roll of those who perished during this time contains no more illustrious name than that of antoine laurent lavoisier. in the year lavoisier, who had for some time acted as a _fermier-général_ under the government, was accused of mixing with the tobacco "water and other ingredients hurtful to the health of the citizens." on this pretext he and some of his colleagues were condemned to death. for some days lavoisier found a hiding-place among his friends, but hearing that his colleagues had been arrested, he delivered himself up to the authorities, only asking that the death sentence should not be executed until he had completed the research in which he was engaged; "not" that he was "unwilling to part with life," but because he thought the results would be "for the good of humanity." "the republic has no need of chemists; the course of justice cannot be suspended," was the reply. on the th of may , the guillotine did its work; and in his fifty-first year lavoisier "joined the majority." to the honour of the academy of which he was so illustrious a member it is recorded that a deputation of his fellow-workers in science, braving the wrath of robespierre, penetrated to the dungeons of the prison and placed a wreath on the grave of their comrade. * * * * * the period of the infancy of chemical science which i have now briefly described is broadly contemporaneous with the second half of the eighteenth century. at this time the minds of men were greatly stirred. opinions and beliefs consecrated by the assent of generations of men were questioned or denied; the pretensions of civil and ecclesiastical authorities were withstood; assertions however strongly made, and by whatever authority supported, were met by demands for reasons. in france this revolt against mere authority was especially marked. led by the great thinker voltaire, the french philosophers attacked the generally accepted views in moral, theological and historical matters. a little later they began to turn with eager attention and hope to the facts of external nature. physical science was cultivated with wonderful vigour and with surprising success. in the sciences of heat and light we have at this time the all-important works of fourier, prévost and fresnel; in geology and natural history we have buffon and cuvier; the name of bichat marks the beginning of biological science, and chemistry takes rank as a science only from the time of lavoisier. from the philosophers an interest in natural science spread through the mass of the people. about the year the lecture-rooms of the great teachers of chemistry, astronomy, electricity, and even anatomy were crowded with ladies and gentlemen of fashion in the french capital. a similar state of matters was noticeable in this country. dr. black's lecture theatre was filled by an audience which comprised many young men of good position. to know something of chemistry became an essential part of the training of all who desired to be liberally educated. the secrets of nature were now rapidly explored; astonishing advances were made, and as a matter of course much opposition was raised. in this active, inquiring atmosphere the young science of chemistry grew towards maturity. priestley, ever seeking for new facts, announcing discovery after discovery, attacking popular belief in most matters, yet satisfied to interpret his scientific discoveries in terms of the hypothesis with which he was most familiar, was the pioneer of the advancing science. he may be compared to the advance-guard sent forward by the explorers of a new country with orders to clear a way for the main body: his work was not to level the rough parts of the way, or to fill in the miry places with well-laid metal, but rather rapidly to make a road as far into the heart of the country as possible. and we have seen how well he did the work. in his discovery of various kinds of airs, notably of oxygen, he laid the basis of the great generalizations of lavoisier, and, what was perhaps of even more importance, he introduced a new method into chemistry. he showed the existence of a new and unexplored region. before his time, hooke and mayow had proved the existence of more than one kind of air, but the chemistry of gases arose with the discoveries of priestley. although black's chief research, on fixed air and on latent heat, was completed fifteen or twenty years before priestley's discovery of oxygen, yet the kind of work done by black, and its influence on chemical science, mark him as coming after priestley in order of development. we have seen that the work of black was characterized by thoroughness and suggestiveness. the largeness of scope, the breadth of view, of this great philosopher are best illustrated in his discourses on heat; he there leads us with him in his survey of the domain of nature, and although he tells us that hypotheses are a "mere waste of time," we find that it is by the strength of his imagination that he commands assent. but he never allows the imagination to degenerate into fanciful guesses; he vigorously tests the fundamental facts of his theory, and then he uses the imagination in developing the necessary consequences of these facts. to black we owe not only the first rigorously accurate chemical investigation, but also the establishment of just ideas concerning the nature of heat. but lavoisier came before us as a greater than either priestley or black. to great accuracy and great breadth of view he added wonderful power of generalizing; with these, aided by marked mental activity and, on the whole, favourable external circumstances, he was able finally to overthrow the loose opinions regarding combustion and elementary principles which prevailed before his time, and so to establish chemistry as one of the natural sciences. at the close of the first period of advance we find that the sphere of chemistry has been defined; that the object of the science has been laid down, as being to find an explanation of the remarkable changes noticed in the properties of bodies; that as a first step towards the wished-for explanation, all material substances have been divided by the chemist into elements and compounds; that an element has been defined as any kind of matter from a given weight of which no simpler forms of matter--that is, no kinds of matter each weighing less than the original matter--have as yet been obtained; that the great principle of the indestructibility of matter has been established, viz. that however the properties of matter may be altered, yet the total mass (or quantity) remains unchanged; and lastly, we find that an explanation of one important class of chemical changes--those changes which occur when substances burn--has been found. and we have also learned that the method by which these results were obtained was this--to go to nature, to observe and experiment accurately, to consider carefully the results of these experiments, and so to form a general hypothesis; by the use of the mental powers, and notably by the use of the imagination, to develop the necessary deductions from this hypothesis; and finally, to try these deductions by again inquiring from nature "whether these things were so." before the time which we have been considering the paths of chemical science had scarcely yet been trodden. each discovery was full of promise, each advance displayed the possibility of further progress; the atmosphere was filled as with "a mighty rushing wind" ready to sweep away the old order of things. the age was an age of doubt and of freedom from the trammels of authority; it was a time eminently suited for making advances in natural knowledge. in the unceasing activity of priestley and lavoisier we may trace the influence of the restlessness of the age; but in the quietness and strength of the best work of these men, and notably in the work of black; in the calmness with which priestley bore his misfortunes at birmingham; in the noble words of lavoisier, "i am not unwilling to part with life, but i ask time to finish my experiments, because the results will, i believe, be for the good of humanity"--we see the truth of the assertion made by one who was himself a faithful student of nature-- "nature never did betray the heart that loved her." footnotes: [ ] the translation is taken from thomson's "history of chemistry." [ ] nevertheless, in other places lavoisier most readily acknowledges the merits of priestley. [ ] a similar method of reasoning was employed so far back as the tenth century: thus, in an anglo-saxon "manual of astronomy" we read, "there is no corporeal thing which has not in it the four elements, that is, air and fire, earth and water.... take a stick and rub it on something, it becomes hot directly with the fire which lurks in it; burn one end, then goeth the moisture out at the other end with the smoke." chapter iii. establishment of general principles of chemical science--period of dalton. _john dalton_, - . the progress of chemical knowledge became so rapid in the early years of the present century, that although i have in this chapter called the time immediately succeeding that of lavoisier "the period of john dalton," and although i shall attempt to describe the advances made by this philosopher without considering those of his contemporaries davy and berzelius, yet i must insist on the facts that this arrangement is made purely for the sake of convenience, and that many of the discoveries of davy, berzelius and others came in order of time before, or followed close upon the publication of dalton's atomic theory. nevertheless, as the work of these men belongs in its essence to the modern period, and as the promulgation of the atomic theory by dalton marks the beginning of this period, it seems better that we should have a clear conception of what was done by this chemist before proceeding to consider the advances made by his contemporaries and successors. * * * * * john dalton, the second of three children of joseph and deborah dalton, was born at eaglesfield, a village near cockermouth, in cumberland, on the th of september . one of the first meeting-houses established by the society of friends is to be found in eaglesfield. the dalton family had been settled for several generations on a small copyhold estate in this village. the first of them to join the friends was the grandfather of john dalton; his descendants remained faithful adherents of this society. dalton attended the village schools of eaglesfield and the neighbourhood until he was eleven years old, by which time, in addition to learning reading, writing and arithmetic, he had "gone through a course of mensuration, surveying, navigation, etc." at the age of ten his taste for measurements and calculations began to be remarked by those around him; this taste was encouraged by mr. robinson, a relative of dalton, who recognizing the indomitable perseverance of the boy appears to have taken some care about this time in directing his mathematical studies. at the early age of twelve dalton affixed to the door of his father's house a large sheet of paper whereon he announced that he had opened a school for youth of both sexes; also that "paper, pens and ink" were sold within. the boy-teacher had little authority over his pupils, who challenged their master to fight in the graveyard, and broke the windows of the room into which they had been locked till their tasks should be learned. when he was fifteen years old dalton removed to kendal, where he continued for eleven or twelve years, at first as assistant-master, and then, along with his elder brother jonathan, as principal of a boarding school for boys. it was announced by the brothers that in this school "youth will be carefully instructed in english, latin, greek and french; also writing, arithmetic, merchants' accounts and the mathematics." the school was not very successful. both brothers were hard, inflexible, and ungainly in their habits, and neither was fitted to become a successful teacher of boys: of the two, john had the gentler disposition, and was preferred by the boys; "besides, his mind was so occupied by mathematics that their faults escaped his notice." during this time dalton employed his leisure in learning latin, greek and french, and in pursuing his studies in mathematics and natural philosophy. he became a frequent contributor to the _gentlemen's diary_, a paper which received problems of various kinds--chiefly mathematical--and presented prizes for their successful solution. besides setting and answering mathematical problems in this journal, and also in the _ladies' diary_, dalton sometimes ventured into the wider fields of mental phenomena. it seems strange to read that, even at the age of twenty-six, dalton should occupy his leisure time composing answers to such queries as these:-- "whether, to a generous mind, is the conferring or receiving an obligation, the greater pleasure?" "is it possible for a person of sensibility and virtue, who has once felt the passion of love in the fullest extent that the human heart is capable of receiving it (being by death or some other circumstance for ever deprived of the object of its wishes), ever to feel an equal passion for any other object?" in his answer to the second of these queries, dalton carefully framed two hypotheses, and as carefully drew conclusions from each. the question in the _diary_ was by "mira;" if "mira" were a "rapturous maiden" she would not derive much comfort from the cold and mathematical answer by "mr. john dalton of kendal." at kendal dalton made the acquaintance of mr. gough, who was about eight years older than dalton, and had been blind from the age of two. mr. gough, we are assured by dalton, was "a perfect master of the latin, greek and french tongues;" he understood "well all the different branches of mathematics;" there was "no branch of natural philosophy but what he was well acquainted with;" he knew "by the touch, taste and smell, almost every plant within twenty miles of kendal." to the friendship of this remarkable man dalton owed much; with his help he acquired a fair knowledge of the classical languages, and he it was who set dalton the example of keeping a regular record of weather observations. on the th of march dalton made his first entry in a book which he entitled "observations on the weather, etc.;" the last entry in this book he made fifty-seven years later on the evening preceding his death. the importance of dalton's meteorological observations, as leading him to the conception of the atomic theory, will be noticed as we proceed. in the year dalton, who was now twenty-seven years of age, was invited to manchester to become tutor in the mathematical and natural philosophy department of a college recently established by influential dissenters in that town. eighty pounds for the session of ten months was guaranteed him; and he was provided with "rooms and commons" in the college at a charge of £ _s._ per session. he held this appointment for six years, when he retired, and continuing to live in manchester devoted himself to researches in natural philosophy, gaining a living by giving private lessons in mathematics and physical science at a charge of _s._ _d._ per hour, or _s._ _d._ each if more than two pupils attended at the same time. dalton was elected a fellow of the literary and philosophical society of manchester in the year ; and from the time of his retiring from the tutorship of manchester new college till the close of his life he spent a great part of his time in a room in the society's house in george street, in studying and teaching. the fifty years thus spent are marked by few outward events. the history of dalton's life from this time is the history of the development of his intellect, and the record of his scientific discoveries. on one occasion during dalton's stay at kendal, as he was about to make a visit to his native village, he bethought himself that the present of a pair of silken hose would be acceptable to his mother. he accordingly purchased a pair marked "newest fashion;" but his mother's remark, "thou hast brought me a pair of grand hose, john; but what made thee fancy so light a colour? i can never show myself at meeting in them," rather disconcerted him, as to his eyes the hose were of the orthodox drab colour. his mother insisted that the stockings were "as red as a cherry." john's brother upheld the "drab" side of the dispute; so the neighbours were called in, and gave their decision that the hose were "varra fine stuff, but uncommon scarlety." from this time dalton made observations on the peculiarities of his own vision and that of others, and in his first paper read before the literary and philosophical society in , he described these peculiarities. he says, "since the year the occasional study of botany obliged me to attend more to colour than before. with respect to colours that were white, yellow, or green, i readily assented to the appropriate term; blue, purple, pink and crimson appeared rather less distinguishable, being, according to my idea, all referable to blue. i have often seriously asked a person whether a flower was blue or pink, but was generally considered to be in jest." dalton's colour-blindness was amusingly illustrated at a later time, when having been created d.c.l. by the university of oxford he continued to wear the red robes of his degree for some days; and when his attention was drawn to the somewhat strange phenomenon, even in a university town, of an elderly gentleman in the dress of a quaker perambulating the town day after day in a scarlet robe, he remarked that to him the gown appeared to be of the same colour as the green trees. dalton's work during the next six or eight years dealt chiefly with problems suggested by his meteorological observations; he published a volume on "meteorological observations and essays," chiefly occupied with descriptions of the instruments employed, more especially of the thermometer and barometer, and an instrument for determining the dew-point of air. by this time he had established the existence of a connection of some kind between magnetism and the aurora, and had thus laid the foundations of a most important branch of meteorology. in , in a note to a paper on rain and dew, he begins his work on aqueous vapour in the atmosphere by proving that water vapour exists as such in the air. this paper is quickly followed by another on the conducting power of water for heat. a very important paper was published in , on the "constitution of mixed gases, etc.," wherein dalton asserted that the total pressure of a mixture of two gases on the walls of the containing vessel is equal to the sum of the pressures of each gas; in other words, that if one gas is removed the pressure now exerted by the remaining gas is exactly the same as was exerted by that gas in the original mixture. in a paper published much later ( ), when his views and experiments on this subject were matured, he writes: "it appears to me as completely demonstrated as any physical principle, that whenever two or more ... gases or vapours ... are put together, either into a limited or unlimited space, they will finally be arranged each as if it occupied the whole space, and the others were not present; the nature of the fluids and gravitation being the only efficacious agents." this conclusion was followed out and extended in a paper published in , on the absorption of gases by water and other liquids, wherein he states that the amount of each gas _mechanically dissolved_ by a liquid from a mixture of gases depends only on the quantity of _that_ gas in the mixture, the other gases exerting no influence in this respect. dalton now considered the variation in the pressures of various gases caused by increasing or decreasing temperature, and then proceeded to discuss the relations which exist between the volumes of gases and the temperature at which these volumes are measured. he concluded that "all elastic fluids" under the same pressure expand equally by heat: and he adds the very important remark, "it seems, therefore, that general laws respecting the absolute quantity and the nature of heat are more likely to be derived from the study of elastic fluids than of other substances"--a remark the profound truth of which has been emphasized by each step in the advances made in our conception of the nature of heat since the time of dalton. in these papers on the "constitution of mixed gases" dalton also describes and illustrates a method whereby the actual amount of water vapour in a given bulk of atmospheric air may be found from a knowledge of the dew-point of that air, that is, the temperature at which the deposition of water in the liquid form begins. the introduction of this method for finding the humidity of air marks an important advance in the history of meteorology. in this series of papers published within the first three years of the present century dalton evidently had before his mind's eye a picture of a gas as a quantity of matter built up of small but independent particles; he constantly speaks of pressures between the small particles of elastic fluids, of these particles as repelling each other, etc. in his "new system" he says, "a vessel full of any pure elastic fluid presents to the imagination a picture like one full of small shot." it is very important to notice that dalton makes use of this conception of small particles to explain purely physical experiments and operations. although we know that during these years he was thinking much of "chemical combinations," yet we find that it was his observations on the weather which led him to the conception--a purely physical conception--of each chemically distinct gas as being built up of a vast number of small, equally heavy particles. a consideration of these papers by dalton on the constitution of mixed gases shows us the method which he pursued in his investigations. "the progress of philosophical knowledge," he says, "is advanced by the discovery of new and important facts; but much more when these facts lead to the establishment of general laws." dalton always strove to attain to general laws. the facts which he describes are frequently inaccurate; he was singularly deficient in manipulation, and he cannot claim a high place as a careful experimenter. he was however able to draw general conclusions of wide applicability. he seems sometimes to have stated a generalization in definite form before he had obtained any experimental verification of it. in the year dalton conducted an examination of air from various localities, and concluded that one hundred volumes of air are composed of twenty-one volumes of oxygen and seventy-nine volumes of nitrogen. this appears to have been his first piece of purely chemical work. but in the next year he again returns to physical phenomena. in the paper already referred to, on the absorption of gases by water and other liquids, published in this year, he had stated that "all gases that enter into water and other liquids by means of pressure, and are wholly disengaged again by the removal of that pressure, are _mechanically_ mixed with the liquid, and not _chemically_ combined with it." but if this be so, why, he asked, does not water mechanically dissolve the same bulk of every kind of gas? the answer which he gives to this question is found at the close of the paper; to the student of chemistry it is very important:-- "this question i have duly considered, and though i am not yet able to satisfy myself completely, i am nearly persuaded that the circumstance depends upon the weight and number of the ultimate particles of the several gases, those whose particles are lightest and single being least absorbable, and the others more, accordingly as they increase in weight and complexity. an inquiry into the relative weights of the ultimate particles of bodies is a subject, as far as i know, entirely new. i have lately been prosecuting this inquiry with remarkable success. the principle cannot be entered upon in this paper; but i shall just subjoin the results, as far as they appear to be ascertained by my experiments." then follows a "_table of the relative weights of the ultimate particles of gaseous and other bodies._" the following numbers, among others, are given:-- hydrogen sulphur · oxygen · alcohol · azote · nitrous oxide · phosphorus · ether · here is the beginning of the atomic theory; and yet dalton's strictly chemical experimental work lies in the future. the scope of the theory is defined in that sentence--"_an inquiry into the relative weights of the ultimate particles of bodies._" his paper on mixed gases is illustrated by a plate,[ ] which shows how vividly dalton at this time pictured to himself a quantity of gas as composed of many little particles, and how clearly he recognized the necessity of regarding all the particles of each elementary gas as alike, but as differing from those of every other elementary gas. in dalton was invited to deliver a course of lectures in the royal institution of london, on heat, mixed gases and similar subjects. in these lectures he expounded his views on the constitution of gases, on absorption of gases by liquids, etc. these views drew much attention in this and other countries. "they are busy with them," he writes in , "at london, edinburgh, paris and in various parts of germany, some maintaining one side and some another. the truth will surely out at last." [illustration: fig. ] dalton's love of numerical calculations is noticeable in a trivial circumstance which he mentions in a letter from london to his brother. he tried to count the number of coaches which he met in going to the friends' morning meeting: this he assures his brother he "effected with tolerable precision. the number was one hundred and four." during vacation time dalton usually made a walking excursion in the lake district. he was extremely fond of mountain scenery, but generally combined the pursuit of science with that of pleasure; he carried his meteorological instruments with him, determined the dew-point at various altitudes, and measured mountain heights by the aid of his barometer. sometimes however he refused to have anything to do with science. a companion in one of these excursions says that he was "like a schoolboy enjoying a holiday, mocking the cuckoos, putting up and chasing the hares, stopping from time to time to point out some beautiful view, or loitering to chat with passing pedestrians." this side of dalton's nature was not often apparent. in him the quiet, hard-working student generally appeared prominently marked; but on the half-holiday which he allowed himself on each thursday afternoon, in order to enjoy the society of a few friends and to engage in his favourite amusement of a game at bowls, he laid aside something of the quietness, regularity and decorum which usually characterized him. "when it came to his turn to bowl he threw his whole soul into the game,... and it was not a little amusing to spectators to see him running after the ball across the green, stooping down as if talking to it, and waving his hands from one side to the other exactly as he wished the line of the ball to be, and manifesting the most intense interest in its coming near to the point at which he aimed." from the year - dalton becomes more and more a worker in chemistry. the establishment of the atomic theory now engaged most of his time and attention. the results of his investigation of "the primary laws which seem to obtain in regard to heat and to chemical combinations" appeared in his "new system of chemical philosophy," part i. of which, "on heat, on the constitution of bodies and on chemical synthesis," was published in . we have now arrived at the time when dalton's inquiry into the "relative weights of the ultimate particles of bodies" was in his opinion sufficiently advanced for presentation to the scientific world; but i think we shall do better to postpone our consideration of this great inquiry until we have completed our review of the chief events in the life of dalton, other than this the greatest event of all. dalton did not look for rewards--he desired only the just fame of one who sought for natural truths; but after the publication of the "new system" rewards began to come to him. in he was elected a corresponding member of the french academy of sciences. in , when his fame as a philosophical chemist was fully established, dalton visited paris. this visit gave him great pleasure. he was constantly in the society of the great men who then so nobly represented the dignity of natural science in france; laplace, cuvier, biot, arago, gay-lussac, milne-edwards and others were his friends. for some time after this visit he was more vivacious and communicative than usual, and we are told by one who lived in the same house as he, "we frequently bantered him with having become half a frenchman." dalton especially valued the friendship of clementine cuvier, daughter of the great naturalist, with whom he became acquainted during his visit to paris. all through life he greatly delighted in the society of cultivated women, and his warmest friendships were with gentlewomen. at one time, shortly after going to manchester, he was much taken by a widow lady who combined great personal charms with considerable mental culture. "during my _captivity_," he writes to a friend, "which lasted about a week, i lost my appetite, and had other symptoms of _bondage_ about me, as incoherent discourse, etc., but have now happily regained my freedom." the society of men who like himself were actively engaged in the investigation of natural science was also a source of much pleasure to dalton. such men used to visit him in manchester, so that in the house of the rev. mr. johns, in whose family he lived, "there were found from time to time some of the greatest philosophers in europe." dalton was elected a fellow of the royal society in , and four years later he became the first recipient of one of the royal medals, then founded by the king (george iv.). in he was elected one of the eight foreign associates of the french academy, an honour which is generally regarded as the highest that can be bestowed on any man of science. dalton was one of the original members of the british association for the advancement of science, and he attended most of the meetings from the first held in york in to that held in manchester two years before his death. at the oxford meeting of he was created d.c.l. by the university, and two years later the university of edinburgh honoured herself by enrolling his name on the list of her doctors of law. about this time some of dalton's scientific friends, who considered his work of great national importance, endeavoured to obtain a pension for him from the civil list. at the meeting of the british association held at cambridge in , the president, professor sedgwick, was able to announce that "his majesty, willing to manifest his attachment to science, and his regard for a character like that of dr. dalton, had graciously conferred on him, out of the funds of the civil list, a substantial mark of his royal favour." the "substantial mark of royal favour," the announcement of which dalton received "with his customary quietness and simplicity of manner," consisted of a pension of £ _per annum_, which was increased three years later to £ . the second part of volume i. of his "new system" was published by dalton in , and the second volume of the same work in . in a paper by him was read before the british association, in which he announced some important discoveries with regard to the water in crystallizable salts, and thus brought a new class of facts within the range of the atomic theory. he was seized with paralysis in , but recovered to a great extent; a second attack in however completely prostrated him. on the th of july in that year he made the last entry in his book of "observations on the weather"--"_little rain_;" next morning he became insensible and quietly passed away. * * * * * it is as the founder of the chemical atomic theory that dalton must ever be remembered by all students of physical and chemical science. to the greek philosophers leucippus and democritus (flourished about - b.c.) we owe the conception that "the bodies which we see and handle, which we can set in motion or leave at rest, which we can break in pieces and destroy, are composed of smaller bodies, which we cannot see or handle, which are always in motion, and which can neither be stopped, nor broken in pieces, nor in any way destroyed or deprived of the least of their properties" (clerk maxwell). the heavier among these small indivisible bodies or atoms were regarded as always moving downwards. by collisions between these and the lighter ascending atoms lateral movements arose. by virtue of the natural law (as they said) that things of like weight and shape must come to the same place, the atoms of the various elements came together; thus larger masses of matter were formed; these again coalesced, and so finally worlds came into existence. this doctrine was extended by epicurus ( - b.c.), whose teaching is preserved for us in the poem of lucretius ( - b.c.), "de rerum natura;" he ascribed to the atoms the power of deviating from a straight line in their descending motion. on this hypothesis epicurus built a general theory to explain all material and spiritual phenomena. the ceaseless change and decay in everything around them was doubtless one of the causes which led men to this conception of atoms as indivisible, indestructible substances which could never wear out and could never be changed. but even here rest could not be found; the mind was obliged to regard these atoms as always in motion. the dance of the dust-motes in the sunbeam was to lucretius the result of the more complex motion whereby the atoms which compose that dust are agitated. in his dream as told by tennyson-- "a void was made in nature: all her bonds cracked: and i saw the flaring atom-streams and torrents of her myriad universe, ruining along the illimitable inane, fly on to clash together again, and make another and another frame of things for ever." the central quest of the physicist, from the days of democritus to the present time, has been to explain the conception of "atom"--to develop more clearly the observed properties of the things which are seen and which may be handled as dependent on the properties of those things which cannot be seen, but which yet exist. for two thousand years he has been trying to penetrate beneath the ever-changing appearances of nature, and to find some surer resting-place whence he may survey these shifting pictures as they pass before his mental vision. the older atomists thought to find this resting-place, not in the atoms themselves, but in the wide spaces which they supposed to exist between the worlds:-- "the lucid interspace of world and world where never creeps a cloud, or moves a wind, nor ever falls the least white star of snow, nor ever lowest roll of thunder moans, nor sound of human sorrow mounts to mar their sacred everlasting calm." to the modern student of science the idea of absolute rest appears unthinkable; but in the most recent outcome of the atomic theory--in the vortex atoms of helmholtz and thomson--he thinks he perceives the very "foundation stones of the material universe." newton conceived the atom as a "solid, massy, hard, impenetrable, movable particle." to the mind of d. bernoulli the pressure exerted by a gas on the walls of a vessel enclosing it was due to the constant bombardment of the walls by the atoms of which the gas consisted. atomic motion was the leading idea in the explanation of heat given by rumford and davy, and now universally accepted; and, as we have seen, dalton was himself accustomed to regard all "elastic fluids" (_i.e._ gases) as consisting of vast numbers of atoms. but in the year or so, dalton thought that by the study of chemical combinations it would be possible to determine the relative weights of atoms. assume that any elementary gas is composed of small, indivisible, equally heavy parts; assume that the weight of an atom of one element is different from that of the atom of any other element; and, lastly, assume that when elements combine the atom of the compound so produced is built up of the atoms of the various elements. make these assumptions, and it follows that the relative weights of two or more elements which combine together must represent the relative weights of the atoms of these elements. we know that the fixity of composition of chemical compounds had been established before this time, largely by the labours of black and lavoisier. fixity of composition had however been called in question by berthollet, who held that elements combine together in very varying quantities; that, in fact, in place of there being two or three, or a few definite compounds of, say, iron and oxygen, there exists a graduated series of such bodies; and that the amount of iron which combines with oxygen depends chiefly on such physical conditions as the temperature, the pressure, etc., under which the chemical action occurs. but by the date of the publication of the first part of dalton's "new system," the long dispute between berthollet and proust regarding fixity of composition of compounds had nearly closed in favour of the latter chemist, who strongly upheld the affirmative side of the argument. but if dalton's assumptions are correct, it is evident that when two elements form more than one compound, the quantity of element a in one of these must be a simple multiple of the quantity in the other of these compounds; because there must be a greater number of atoms of element a in the atom of one compound than in that of the other compound, and an elementary atom is assumed to be indivisible. hence it follows that if one element be taken as a standard, it must be possible to affix to any other element a certain number which shall express the smallest quantity of that element which combines with one part by weight of the standard element; and this number shall also represent how many times the atom of the given element is heavier than the atom of the standard element, the weight of which has been taken to be _one_. if this element forms two compounds with the standard element, the amount of this element in the second compound must be expressed by a simple multiple of the number assigned to this element, because it is not possible, according to the fundamental assumptions of the theory, to form a compound by the combination of fractions of elementary atoms. by pondering on the facts regarding chemical combinations which had been established by various workers previous to the year , dalton had apparently come to such conclusions as those now indicated. in his paper on the properties of the gases constituting the atmosphere, read to the manchester society on november , , he stated that one hundred measures of common air would combine with thirty-six measures of "nitrous gas" in a narrow tube to produce an oxide of nitrogen, but with seventy-two measures of the same gas in a wide vessel to produce another oxide of nitrogen. these facts, he says, "clearly point out the theory of the process: the elements of oxygen may combine with a certain portion of nitrous gas, or with twice that portion, but with no intermediate quantity." in the concluding paragraph of his paper on absorption of gases by liquids, read on october , , we found (see p. ) that he had got so far in his inquiry into the "relative weights of the ultimate particles of bodies" as to give a table of twenty-one such weights. about this time dalton made analyses of two gaseous compounds of carbon--olefiant gas and carburetted hydrogen or marsh-gas. he found that both are compounds of carbon and hydrogen; that in one . parts by weight of carbon are combined with one part by weight of hydrogen, and in the other the same amount ( . ) of carbon is combined with two parts by weight of hydrogen.[ ] this was a striking confirmation of his views regarding combination in multiple proportions, which views followed as a necessary deduction from the atomic hypothesis. from this time he continued to develop and extend this hypothesis, and in the year he published his "new system of chemical philosophy." the first detailed account of the atomic theory was however given to the chemical world the year before dalton's book appeared. during a conversation with dalton in the autumn of dr. thomas thomson learned the fundamental points of the new theory, and in the third edition of his "system of chemistry," published in , he gave an account of dalton's views regarding the composition of bodies. in the same year a paper by thomson appeared in the _philosophical transactions_, wherein it was experimentally proved that oxalic acid combines with strontia to form two distinct compounds, one of which contains twice as much oxalic acid as the other, the amount of strontia being the same in both. analyses of the oxalates of potash, published about the same time by wollaston, afforded another illustration of the _law of multiple proportions_, and drew the attention of chemists to dalton's theory. but the new theory was opposed by several very eminent chemists, notably by sir humphry davy. in the autumn of wollaston, thomson and davy were present at the dinner of the royal society club, at the crown and anchor, in the strand. after dinner, these three chemists discussed the new theory for an hour and a half, wollaston and thomson trying to convince davy of the truth of dalton's theory; but "so far from being convinced, he went away, if possible, more prejudiced against it than ever." soon after this wollaston succeeded in convincing mr. davis gilbert (afterwards president of the royal society) of the justness of the atomic theory, and he in turn so placed the facts and the reasoning before davy, that from this time he became a supporter of the new theory. in order that the atomic theory should be fruitful of results, it was now necessary that the values of the atomic weights of many elements should be carefully determined. let us consider what knowledge must be acquired before the value to be assigned to the atomic weight of an element can be found. hydrogen was the element chosen as a standard by dalton. he assumed that the atom of hydrogen weighs ; the atomic weight of any other element is therefore a number which tells how many times the atom of that element is heavier than the atom of hydrogen. thus, when dalton said the atomic weight of oxygen is , he meant that the atom of oxygen is eight times heavier than that of hydrogen. how was this number obtained? accurate analyses of water show that in this liquid one part by weight of hydrogen is combined with eight parts by weight of oxygen; but (it is said) as the atom of hydrogen weighs , the atom of oxygen must weigh . in drawing this conclusion it is assumed that the atom, or smallest particle, of water is built up of one atom of hydrogen and one atom of oxygen. let it be assumed that the atom of water contains two atoms of hydrogen and one of oxygen, then the latter atom must weigh sixteen times as much as each atom of hydrogen; let it be assumed that three atoms of hydrogen combine with one atom of oxygen to form an atom of water, then the weight of the oxygen atom must be twenty-four times that of the hydrogen atom. any one of these assumptions will equally satisfy the figures obtained by analyzing water ( : = : = : ). now, had we any method whereby we could determine how many times an atom of water is heavier than an atom of hydrogen we should be able to determine which of the foregoing assumptions is correct, and therefore to determine the atomic weight of oxygen. hence, before the atomic weight of an element can be determined, there must be found some method for determining the atomic weights of compounds of that element. unless this can be done the atomic theory is of little avail in chemistry. i conceive it to be one of the signal merits of dalton that he so clearly lays down rules, the best which could be devised at his time, for determining the atomic weights of compounds, or, what is the same thing, for determining the number of elementary atoms in one atom of any compound. in his "new system" he says that he wishes to show the importance of ascertaining "the relative weights of the ultimate particles both of simple and compound bodies, the number of simple elementary particles which constitute one compound particle, and the number of less compound particles which enter into the formation of one more compound particle." considering compounds of two elements, he divides these into binary, ternary, quaternary, etc., according as the compound atom contains two, three, four, etc., atoms of the elements. he then proceeds thus-- "the following general rules may be adopted as guides in all our investigations respecting chemical synthesis:-- " st. when only one combination of two bodies can be obtained, it must be presumed to be a _binary_ one, unless some cause appear to the contrary. " nd. when two combinations are observed, they must be presumed to be a _binary_ and a _ternary_. " rd. when three combinations are obtained, we may expect one to be _binary_ and the other two _ternary_. " th. when four combinations are observed, we should expect one _binary_, two _ternary_, and one _quaternary_," etc. only one compound of hydrogen and oxygen was then known; hence it was presumed to be a binary compound, _i.e._ a compound the smallest particle of which consisted of one atom of hydrogen and one atom of oxygen; and hence, from the data already given on page , it followed that the atomic weight of oxygen was . two compounds of carbon and oxygen were known, each containing six parts by weight of carbon, in one case united with eight, and in the other case with sixteen parts by weight of oxygen. from dalton's rules one of these was a binary, and the other a ternary compound; but as the atomic weight of oxygen had already been determined to be , that compound of carbon and oxygen containing eight of oxygen combined with six of carbon was decided to be binary, and that containing sixteen of oxygen (_i.e._ two atoms) to be ternary; and hence the atomic weight of carbon was determined to be . in the second part of the "new system" dalton, guided by these rules, determined experimentally the atomic weights of a great many substances; but this was not the kind of work suited to dalton's genius. his analytical determinations were generally inaccurate; nevertheless, he clearly showed how the values of the atomic weights of elements ought to be established, and he obtained results sufficiently accurate to confirm his general theory. to make accurate determinations of the relative weights of elementary atoms was one of the tasks reserved for the great swedish chemist berzelius (see pp. - ). when we examine dalton's rules we must confess that they appear somewhat arbitrary. he does not give reasons for his assertion that "when only one combination of two bodies can be obtained, it must be presumed to be a binary one." why may it not be ternary or quaternary? why must the atom of water be built up of one atom of hydrogen combined with one atom of oxygen? or, when two compounds are known containing the same pair of elements, why must one be binary and the other ternary? or, even assuming that this _must_ be justified by facts, does it follow that dalton's interpretation of the atomic structure of the two oxides of carbon is necessarily correct? these oxides contain of carbon + of oxygen, and of carbon + of oxygen, respectively. take the second, : = : ; assume this to be a binary compound of one atom of oxygen (weighing ) with one atom of carbon (weighing ), then the other will be a ternary compound containing one atom of oxygen ( ) and two atoms of carbon ( ). hence it appears that dalton's rules were too arbitrary, and that they were insufficient to determine with certainty the atomic weights of some of the elements. nevertheless, without some such rules as those of dalton, no great advances could have been made in applying the atomic theory to the facts of chemical combination; and dalton's rules were undoubtedly founded on wide considerations. in the appendix to volume ii. of his "new system" he expressly states that before the number of atoms of two elements present in the atom of a compound can be determined, it is necessary that many combinations should be examined, not only of these elements with each other, but also of each of these with other elements; and he tells us that to gather together facts bearing on this general question of chemical synthesis was the object of his work from the time of the promulgation of the atomic theory. when we find that dalton applied the term "atom" to the small particles of compound bodies, we at once see that by atom he could not always mean "that which cannot be cut;" he simply meant the smallest particle of a substance which exhibits the properties of that substance. a mass of water vapour was conceived by dalton as "like a mass of small shot." each shot exhibited the characteristic chemical properties of water vapour; it differed from the large quantity of vapour only in mass; but if one of these little pieces of shot were divided--as dalton, of course, knew it could be divided--smaller pieces of matter would be produced. but these would no longer be water; they would be new kinds of matter. they are called oxygen and hydrogen. as aids towards gaining a clear conception of the "atom" of a compound as a definite building, dalton made diagrammatic representations of the hypothetical structures of some of these atoms: the following plate is copied from the "new system:"--a represents an atom of alum; b, an atom of nitrate of alumina; c, of barium chloride; d, of barium nitrate; e, of calcium chloride; f calcium nitrate; g, of calcium sulphate; h, potassium carbonate; i, of potash; and k, an atom of soda. [illustration: fig. .] but i think if we consider this application of the term "atom" to elements and compounds alike, we shall see objections to it. when an atom of a compound is divided the smaller particles so produced are each very different in chemical properties from the atom which has just been divided. we may, if we choose, assume that the atom of an element could in like manner be divided, and that the products of this division would be different from the elementary atoms; but such a division of an elementary atom has not as a matter of fact been yet accomplished, unless we class among elements substances such as potash and soda, which for many years were universally regarded as elements, and rightly so regarded because they had not been decomposed. in dalton's nomenclature then, the term "atom" is applied alike to a small particle with definite properties known to be divisible into smaller particles, each with properties different from those of the undivided particle, and to a small particle which, so far as our knowledge goes, cannot be divided into any particle smaller than or different from itself. nevertheless, if the atomic theory was to be victorious, it was necessary that it should be applied to elements and compounds alike. until a clear conception should be obtained, and expressed in accurate language, of the differences in structure of the ultimate particles of compounds and of elements, it was perhaps better to apply the term "atom" to both alike. these two difficulties--( ) the difficulty of attaching to the term "atom" a precise meaning applicable to elements and compounds alike, and ( ) the difficulty of determining the number of elementary atoms in the atom of a given compound, and hence of determining the relative weights of elementary atoms themselves--were for many years stumbling-blocks in the path of the upholders of the daltonian theory. the very great difficulty of clearly comprehending the full meaning of dalton's proposed theory becomes apparent when we learn that within three years from the publication of part i. of the "new system," facts were made known by the french chemist gay-lussac, and the true interpretation of these facts was announced by the italian chemist avogadro, which facts and interpretation were sufficient to clear away both the difficulties i have just mentioned; but that nevertheless it is only within the last ten or fifteen years that the true meaning of the facts established by gay-lussac and the interpretation given by avogadro have been generally recognized. in gay-lussac, in a memoir on the combination of gaseous bodies, proved that gases combine chemically in simple proportions by volume, and that the volume of the product always bears a simple relation to the volumes of the combining gases. thus, he showed that two volumes of hydrogen combine with one volume of oxygen to form two volumes of water vapour; that one volume of nitrogen combines with three volumes of hydrogen to form two volumes of ammonia gas, and so on. now, as elements combine atom with atom, the weights of these combining volumes of elements must represent the relative weights of the atoms of the same elements. in avogadro distinguished between the ultimate particles of compounds and elements. let a gaseous element, a, combine with another gaseous element, b, to form a gaseous compound, c; then avogadro supposed that the little particles of a and the little particles of b (dalton's atoms) split up, each into two or more smaller particles, and that these smaller particles then combine together to form particles of the compound c. the smaller particles produced by splitting a daltonian elementary atom were regarded by avogadro as all identical in properties, but these very small particles could not exist uncombined either with each other or with very small particles of some other element. when the atom of a compound is decomposed, avogadro pictured this atom as splitting into smaller particles of two or three or more different kinds, according as the compound had contained two or three or different elements. to avogadro's mental vision an elementary gas appeared as built up of a great many little particles, each exhibiting in miniature all the properties of the gas. the gas might be heated, or cooled, or otherwise physically altered, but each of the little particles remained intact; the moment however that this gas was mixed with another on which it could chemically react, these little particles split into smaller parts, but as the smaller parts so produced could not exist in this state, they seized hold of the corresponding very small parts of the other gas, and thus a particle of a compound gas was produced. a compound gas was pictured by avogadro as also built up of small particles, each exhibiting in miniature the properties of the gas, and each remaining undecomposed when the gas was subjected only to physical actions; but when the gas was chemically decomposed, each little particle split, but the very small parts thus produced, being each a particle of an elementary substance, continued to exist, and could be recognized by the known properties of that element. to the smallest particle of any substance (elementary or compound) which exhibits the properties of that substance, and which cannot be split into parts without destroying these properties, we now give the name of _molecule_. a molecule is itself a structure. it is built up of parts; each of these parts we now call an _atom_. the molecule of a compound is, of course, composed of the atoms of the elements which form that compound. the molecule may contain two or three or more unlike atoms. the molecule of an element is composed of the atoms of that element, and all of these atoms are supposed to be alike. we cannot get hold of elementary atoms and examine them, but we have a large mass of evidence in favour of the view which regards the molecule of an element as composed of parts each weighing less than the molecule itself. the student of physics or chemistry now believes that, were a very small quantity of a gas (say ammonia) or a drop of a liquid (say water) magnified to something like the size of the earth, he should see before him a vast heap of particles of ammonia or of water, each exhibiting all the properties by the possession of which he now distinguishes ammonia or water from all other kinds of matter. he believes that he should see these particles in motion, each moving rapidly from place to place, sometimes knocking against another, sometimes traversing a considerable space without coming into collision with any other. but the student tries to penetrate yet further into the nature of things. to the vision of the chemist these particles of almost inconceivable minuteness are themselves built up of smaller particles. as there is an architecture of masses, so is there an architecture of molecules. hydrogen and oxygen are mixed; the chemist sees the molecules of each in their never-ceasing dance moving here and there among the molecules of the other, yet each molecule retaining its identity; an electric spark is passed through the mixture, and almost instantaneously he sees each hydrogen molecule split into two parts, and each oxygen molecule split into two parts, and then he sees these parts of molecules, these atoms, combine, a pair of hydrogen atoms with an atom of oxygen, to form compound molecules of water. avogadro's hypothesis gave the chemist a definition of "molecule;" it also gave him a definition of "atom." it is evident that, however many atoms of a given element there may be in this or in that compound molecule, no compound of this element can exist containing less than a single atom of the element in question; therefore an atom of an element is the smallest quantity of that element in the molecule of any compound thereof. and so we have come back to the original hypothesis of dalton; but we have extended and modified that hypothesis--we have distinguished two orders of small particles, the molecule (of a compound or of an element) and the atom (of an element). the combination of two or more elements is now regarded as being preceded by the decomposition of the molecules of these elements into atoms. we have defined molecule and we have defined atom, but before we can determine the relative weights of elementary atoms we must have a means of determining the relative weights of compound molecules. the old difficulty still stares us in the face--how can we find the number of elementary atoms in the molecule of a given compound? the same naturalist who enriched chemical science by the discovery of the molecule as distinct from the atom, placed in the hands of chemists the instrument for determining the relative weights of molecules, and thus also the relative weights of atoms. the great generalization, usually known as _avogadro's law_, runs thus: "_equal volumes of gases measured at the same temperature and under the same pressure contain equal numbers of molecules._" gay-lussac had concluded that "equal volumes of gases contain equal numbers of atoms;" but this conclusion was rejected, and rightly rejected by dalton, who however at the same time refused to admit that there is a simple relation between the combining volumes of elements. the generalization of avogadro has however stood the test of experiment, and is now accepted as one of the fundamental "laws" of chemical science. like the atomic theory itself, avogadro's law is an outcome of physical work and of physical reasoning. of late years the great naturalists, clausius, helmholtz, joule, rankine, clerk maxwell and thomson have developed the physical theory of molecules, and have shown that avogadro's law may be deduced as a necessary consequence from a few simple physical assumptions. this law has thus been raised, from being a purely empirical generalization, to the rank of a deduction from a wide, yet simple physical theory. now, if "equal volumes of gases contain equal numbers of molecules," it follows that the ratio of the densities of any two gases must also be the ratio of the weights of the molecules which constitute these gases. thus, a given volume of water vapour weighs nine times more than an equal volume of hydrogen; therefore the molecule of gaseous water is nine times heavier than the molecule of hydrogen. one has therefore only to adopt a standard of reference for molecular weights, and avogadro's law gives the means of determining the number of times any gaseous molecule is heavier than that of the standard molecule. but consider the combination of a gaseous element with hydrogen; let us take the case of hydrogen and chlorine, which unite to form gaseous hydrochloric acid, and let us determine the volumes of the uniting elements and the volume of the product. here is a statement of the results: one volume of hydrogen combines with one volume of chlorine to form two volumes of hydrochloric acid. assume any number of molecules we please in the one volume of hydrogen--say ten--there must be, by avogadro's law, also ten molecules in the one volume of chlorine; but inasmuch as the volume of hydrochloric acid produced is double that of either the hydrogen or the chlorine which combined to form it, it follows, by the same law, that twenty molecules of hydrochloric acid have been formed by the union of ten molecules of hydrogen with ten molecules of chlorine. the necessary conclusion is that each hydrogen molecule and each chlorine molecule has split into two parts, and that each half-molecule (or atom) of hydrogen has combined with one half-molecule (or atom) of chlorine, to produce one compound molecule of hydrochloric acid. therefore we conclude that the hydrogen molecule is composed of two atoms, and that the chlorine molecule is also composed of two atoms; and as hydrogen is to be our standard element, we say that if the atom of hydrogen weighs one, the molecule of the same element weighs two. it is now easy to find the _molecular weight_ of any gas; it is only necessary to find how many times heavier the given gas is than hydrogen, the weight of the latter being taken as . thus, oxygen is sixteen times heavier than hydrogen, but : = : , therefore the molecule of oxygen is thirty-two times heavier than the molecule of hydrogen. ammonia is eight and a half times heavier than hydrogen, but : - / = : , therefore the molecule of ammonia is seventeen times heavier than the molecule of hydrogen. this is what we more concisely express by saying "the molecular weight of oxygen is ," or "the molecular weight of ammonia is ," etc., etc. now, we wish to determine the _atomic weight_ of oxygen; that is, we wish to find how many times the oxygen atom is heavier than the atom of hydrogen. we make use of avogadro's law and of the definition of "atom" which has been deduced from it (see p. ). we know that eight parts by weight of oxygen combine with one part by weight of hydrogen to form water; but we do not know whether the molecule of water contains one atom of each element, or two atoms of hydrogen and one atom of oxygen, or some other combination of these atoms (see p. ). but by vaporizing water and weighing the gas so produced, we find that water vapour is nine times heavier than hydrogen: now, : = : , therefore the molecular weight of water gas is . analysis tells us that eighteen parts by weight of water gas contain sixteen parts of oxygen and two parts of hydrogen; that is to say, we now know that in the molecule of water gas there are two atoms of hydrogen combined with sixteen parts by weight of oxygen. we now proceed to analyze and determine the molecular weights of as many gaseous compounds of oxygen as we can obtain. the outcome of all is that we have as yet failed to obtain any such compound in the molecule of which there are less than sixteen parts by weight of oxygen. in some of these molecules there are sixteen, in some thirty-two, in some forty-eight, in some sixty-four parts by weight of oxygen, but in none is there less than sixteen parts by weight of this element. therefore we conclude that the atomic weight of oxygen is , because this is the smallest amount, referred to hydrogen taken as , which has hitherto been found in the molecule of any compound of oxygen. the whole of the work done since the publication of dalton's "new system" has emphasized the importance of that chemist's remark, that no safe conclusion can be drawn as to the value of the atomic weight of an element except from a consideration of many compounds of that with other elements. but in avogadro's law we have a far more accurate and trustworthy method for determining the molecular weights of compounds than any which dalton was able to devise by his study of chemical combinations. we have thus got a clearer conception of "atom" than was generally possessed by chemists in the days of dalton, and this we have gained by introducing the further conception of "molecule" as that of a quantity of matter different from, and yet similar to, the atom. the task now before us will for the most part consist in tracing the further development of the fundamental conception of dalton, the conception, viz., of each chemical substance as built up of small parts possessing all the properties, other than the mass, of the whole; and--what we also owe to dalton--the application of this conception to explain the facts of chemical combination. * * * * * the circumstances of dalton's early life obliged him to trust largely to his own efforts for acquiring knowledge; and his determination not to accept facts at second hand but to acquire them for himself, is very marked throughout the whole of his life. in the preface to the second part of the "new system" he says, "having been in my progress so often misled by taking for granted the results of others, i have determined to write as little as possible but what i can attest by my own experience." we should not expect such a man as this to make any great use of books; one of his friends tells us that he heard him declare on a public occasion that he could carry his library on his back, and yet had not read half of the books which comprised it. the love of investigation which characterized dalton when young would naturally be increased by this course of intellectual life. how strong this desire to examine everything for himself became, is amusingly illustrated by a story told by his medical adviser, dr. ransome. once when dalton was suffering from catarrh dr. ransome had prescribed a james's powder, and finding his patient much better next day, he congratulated himself and dalton on the good effects of the medicine. "i do not well see how that can be," said dalton, "as i kept the powder until i could have an opportunity of analyzing it." as dalton grew older he became more than ever disinclined to place much trust in the results obtained by other naturalists, even when these men were acknowledged to be superior to himself in manipulative and experimental skill. thus, as we have already learned, he could not be brought to allow the truth of gay-lussac's experimentally established law regarding gaseous combinations; he preferred to attribute gay-lussac's results to errors of experiment. "the truth is, i believe, that gases do not unite in equal or exact measures in any one instance; when they appear to do so it is owing to the inaccuracy of our experiments." that dalton did not rank high as an experimenter is evident from the many mistakes in matters of fact which are to be found in the second part of his "new system." a marked example of his inaccuracy in purely experimental work is to be found in the supposed proof given by him that charcoal, after being heated to redness, does not absorb gases. he strongly heated a quantity of charcoal, pulverized it, and placed it in a florence flask, which was connected by means of a stopcock with a bladder filled with carbonic acid: after a week he found that the flask and its contents had not sensibly increased in weight, and he concluded that no carbonic acid had been absorbed by the charcoal. but no trustworthy result could be obtained from an experiment in which the charcoal, having been deprived of air by heating, was again allowed to absorb air by being pulverized in an open vessel, and was then placed in a flask filled with air, communication between the carbonic acid and the external air being prevented merely by a piece of bladder, a material which is easily permeated by gases. dalton used a method which can only lead to notable results in natural science when employed by a really great thinker; he acquired a few facts, and then thought out the meaning of these. almost at the beginning of each investigation he tried to get hold of some definite generalization, and _then_ he proceeded to amass special facts. the object which he kept before himself in his experimental work was to establish or to disprove this or that hypothesis. every experiment was conducted with a clearly conceived aim. he was even willing to allow a large margin for errors of experiment if he could thereby bring the results within the scope of his hypothesis. that the _law of multiple proportions_ is simply a generalization of facts, and may be stated apart from the atomic theory, is now generally admitted. but in dalton's mind this law seems to have arisen rather as a deduction from the theory of atoms than to have been gained as a generalization from experiments. he certainly always stated this law in the language of the atomic theory. in one of his walking excursions he explained his theory to a friend, and after expounding his views regarding atomic combinations, he said that the examples which he had given showed the necessary existence of the principle of multiple proportions: "thou knowest it must be so, for no man can split an atom." we have seen that carburetted hydrogen was one of the compounds on the results of the analysis of which he built his atomic theory; yet we find him saying of the constitution of this compound that "no correct notion seems to have been formed till the atomic theory was introduced and applied in the investigation." when dalton was meditating on the laws of chemical combination, a french chemist, m. proust, published analyses of metallic oxides, which proved that when a metal forms two oxides the amount of metal in each is a fixed quantity--that there is a sudden jump, as it were, from one oxide to another. we are sometimes told that from these experiments proust would have recognized the law of multiple proportions had his analyses only been more accurate; but we know that dalton's analyses were very inaccurate, and yet he not only recognized the law of multiple proportions, but propounded and established the atomic theory. something more than a correct system of keeping books and balancing accounts is wanted in natural science. dalton's experimental results would be the despair of a systematic analyst, but from these dalton's genius evolved that splendid theory which has done so much to advance the exact investigation of natural phenomena. probably no greater contrast could be found between methods of work, both leading to the establishment of scientific (that is, accurate and precise) results, than that which exists between the method of dalton and the method pursued by priestley. priestley commenced his experiments with no particular aim in view; sometimes he wanted to amuse himself, sometimes he thought he might light upon a discovery of importance, sometimes his curiosity incited him to experiment. when he got facts he made no profound generalizations; he was content to interpret his results by the help of the prevailing theory of his time. but each new fact only spurred him on to make fresh incursions into the fields of nature. dalton thought much and deeply; his experimentally established facts were to him symbols of unseen powers. he used facts as hobbes says the wise man uses words: they were his counters only, not his money. when we ask how it was that dalton acquired his great power of penetrating beneath the surface of things and finding general laws, we must attribute this power in part to the training which he gave himself in physical science. it was from a consideration of physical facts that he gained the conception of ultimate particles of definite weight. his method was essentially dynamical; that is, he pictured a gas as a mass of little particles, each of which acted on and was acted on by, other particles. the particles were not thrown together anyhow; definite forces existed between them. each elementary or compound gas was pictured as a system of little particles, and the properties of that gas were regarded as dependent on the nature and arrangement of these particles. such a conception as this could only be gained by a careful and profound thinker versed in the methods of physical and mathematical science. thus we see that although dalton appeared to gain his great chemical results by a method which we are not generally inclined to regard as the method of natural science, yet it was by virtue of his careful training in a branch of knowledge which deals with facts, as well as in that science which deduces particular conclusions from general principles, that he was able to introduce his fruitful conceptions into the science of chemistry. to me it appears that dalton was pre-eminently distinguished by the possession of imagination. he formed clear mental images of the phenomena which he studied, and these images he was able to combine and modify so that there resulted a new image containing in itself all the essential parts of each separate picture which he had previously formed. from his intense devotion to the pursuit of science the development of dalton's general character appears to have been somewhat dwarfed. although he possessed imagination, it was the imagination of a naturalist rather than that of a man of broad culture. perhaps it was a want of broad sympathies which made him trust so implicitly in his own work and so readily distrust the work of others, and which moreover led him astray in so many of his purely experimental investigations. * * * * * dalton began his chemical work about six years after the death of lavoisier. unlike that great philosopher he cared nothing for political life. the friends in whose family he spent the greater part of his life in manchester were never able to tell whether he was whig or tory. unlike priestley he was content to let metaphysical and theological speculation alone. in his quiet devotion to study he more resembled black, and in his method, which was more deductive than that usually employed in chemistry, he also resembled the edinburgh professor. trained from his earliest days to depend on himself, nurtured in the creedless creed of the friends, he entered on his life's work with few prejudices, if without much profound knowledge of what had been done before him. by the power of his insight into nature and the concentration of his thought, he drew aside the curtain which hung between the seen and the unseen; and while herschel, sweeping the heavens with his telescope and night by night bringing new worlds within the sphere of knowledge, was overpowering men's minds by new conceptions of the infinitely great, john dalton, with like imaginative power, was examining the architecture of the ultimate particles of matter, and revealing the existence of law and order in the domain of the infinitely small. footnotes: [ ] see fig. , which is copied from the original in the "new system of chemical philosophy," and illustrates dalton's conception of a quantity of carbonic acid gas, each atom built up of one atom of carbon and two of oxygen; of nitrous oxide gas, each atom composed of one atom of nitrogen and one of oxygen; and of hydrogen gas, constituted of single atoms. [ ] more accurate analysis has shown that there are six parts of carbon united respectively with one and with two parts by weight of hydrogen in these compounds. chapter iv. establishment of general principles of chemical science (_continued_)--period of davy and berzelius. _humphry davy_, - . _johann jacob berzelius_, - . we may roughly date the period of chemical advance during which the connections between chemistry and other branches of natural knowledge were recognized and studied, as beginning with the first year of this century, and as continuing to our own day. the elaboration of the atomic theory was busily carried on during the second and third decades of this century; to this the labour of the swedish chemist berzelius largely contributed. that there exist many points of close connection between chemical and electrical science was also demonstrated by the labours of the same chemist, and by the brilliant and impressive discoveries of sir humphry davy. a system of classification of chemical elements and compounds was established by the same great naturalists, and many inroads were made into the domain of the chemistry of bodies of animal and vegetable origin. the work of berzelius and davy, characterized as it is by thoroughness, clearness and definiteness, belongs essentially to the modern era of chemical advance; but i think we shall better preserve the continuity of our story if we devote a chapter to a consideration of the work of these two renowned naturalists before entering on our review of the time immediately preceding the present, as typical workers in which time i have chosen liebig and dumas. in the last chapter we found that the foundations of the atomic theory had been laid, and the theory itself had been applied to general problems of chemical synthesis, by dalton. in giving, in that chapter, a short sketch of the modern molecular theory, and in trying to explain the meaning of the term "molecule" as contrasted with "atom," i necessarily carried the reader forward to a time considerably later than the first decade of this century. we must now retrace our steps; and in perusing the account of the work of berzelius and davy given in the present chapter, the reader must endeavour to have in his mind a conception of atom analogous to the mental picture formed by dalton (see pp. , ); he must regard the term as applicable to element and compound alike; he must remember that the work of which he reads is the work of those who are striving towards a clear conception of the atom, and who are gradually rising to a recognition of the existence of more than one order of small particles, by the regular putting together of which masses of matter are constituted. no materials, so far as i am aware, exist from which a life of berzelius can be constructed. i must therefore content myself with giving a mere enumeration of the more salient points in his life. of his chemical work abundant details are fortunately to be found in his own "lehrbuch," and in the works and papers of himself and his contemporaries. * * * * * johann jacob berzelius was the son of the schoolmaster of wäfersunda, a village near linköping, in east gothland, sweden. he was born in august --he was born, that is, a few years after priestley's discovery of oxygen; at the time when lavoisier had nearly completed his theory of combustion; when dalton was endeavouring to keep the unruly youth of eaglesfield in subjection; and when black, having established the existence of fixed air and the theory of latent heat, was the central figure in the band of students who were enlarging our knowledge of nature in the scottish capital. being left an orphan at the age of nine, the young berzelius was brought up by his grandfather, who appears to have been a man of education and sense. after attending school at linköping, he entered the university of upsala as a student of medicine. here he soon began to show a taste for chemistry. it would appear that few or no experiments were then introduced into his lectures by the professor of chemistry at upsala; little encouragement was given to pursue chemical experiments, and so berzelius had to trust to his own labours for gaining an acquaintance with practical chemistry. having thus made considerable progress in chemistry, and being on a visit to the mineral baths of medevi, he seized the opportunity to make a very thorough analysis of the waters of this place, which were renowned in sweden for their curative properties. the publication of this analysis marks the first appearance of berzelius as an author. he graduated as m.b. in , and a year or two later presented his dissertation, entitled "the action of galvanism on organic bodies," as a thesis for the degree of doctor of medicine. this thesis, like that of black, published about half a century earlier, marks an important stage in the history of chemistry. these and other publications made the young doctor famous; he was called to stockholm to be extraordinary (or assistant) professor of chemistry in the medical school of that capital. sometimes practising medicine in order to add to his limited income, but for the most part engaged in chemical research, he remained in stockholm for nearly fifty years, during most of which time the laboratory of berzelius in the swedish capital was regarded as one of the magnetic poles of the chemical world. to this point came many of the great chemists who afterwards enriched the science by their discoveries. wöhler, h. and g. rose, magnus, gmelin, mitscherlich and others all studied with berzelius. he visited england and france, and was on terms of intimacy and in correspondence with davy, dalton, gay-lussac, berthollet and the other men who at that period shed so much lustre on english and french science. it is said that berzelius was so much pleased with the lectures of dr. marcet at guy's hospital, that on his return from his visit to england in , he introduced much more liveliness and many more experimental illustrations into his own lectures. at the age of thirty-one, berzelius was chosen president of the stockholm academy of sciences; a few years later he was elected a foreign fellow of the royal society, which society bestowed on him the copley medal in . he was raised to the rank of a baron by the king of sweden, being allowed as a special privilege to retain his own name. in the year berzelius resigned his professorship, and in the same year he married. during the remainder of his life, he continued to receive honours of all kinds, but he never for a moment forsook the paths of science. after the death of davy, in , he was recognized as the leading european chemist of his age; but, although firm in his own theoretical views, he was ready to test these views by appealing to nature. the very persistency with which he clung to a conception established on some solid experimental basis insured that new light would be thrown on that conception by the researches of those chemists who opposed him. probably no chemist has added to the science so many carefully determined facts as berzelius; he was always at work in the laboratory, and always worked with the greatest care. yet the appliances at his command were what we should now call poor, meagre, and utterly inadequate. professor wöhler of göttingen, who in the fulness of days and honours has so lately gone from amongst us, recently gave an account of his visit to berzelius in the year . wöhler had taken his degree as doctor of medicine at heidelberg, and being anxious to prosecute the study of chemistry he was advised by his friends to spend a winter in the laboratory of the swedish professor. having written to berzelius and learned that he was willing to allow him working room in his laboratory, the young student set out for stockholm. after a journey to lübeck and a few days' passage in a small sailing-vessel, he arrived in the swedish capital. knocking at the door of the house pointed out as that of berzelius, he tells us that his heart beat hard as the door was opened by a tall man of florid complexion. "it was berzelius himself," he exclaims. scarcely believing that he was in the very room where so many famous discoveries had been made, he entered the laboratory. no water, no gas, no draught-places, no ovens were to be seen; a couple of plain tables, a blowpipe, a few shelves with bottles, a little simple apparatus, and a large water-barrel whereat anna, the ancient cook of the establishment, washed the laboratory dishes, completed the furnishings of this room, famous throughout europe for the work which had been done in it. in the kitchen which adjoined, and where anna cooked, was a small furnace and a sand bath for heating purposes. in this room many great discoveries were made. among these we may note the separation of the element columbium in , and of selenion in ; the discovery of the new earth thoria in ; the elucidation of the properties of yttrium and cerium about , of uranium in , and of the platinum metals in ; the accurate determination of the atomic weights of the greater number of the elements; the discovery of "sulphur salts" in - , and the proof that silica is an acid, and that most of the "stony" minerals are compounds of this acid with various bases. but we shall better learn the value of some of these discoveries by taking a general review of the contributions to chemical science of the man who spent most of his life at work in that room in stockholm. the german chemist richter, in the first or second year of this century, had drawn attention to the fact that when two neutral compounds, such as nitrate of potash and chloride of lime, react chemically, the substances produced by this reaction are also neutral. all the potash combined with nitric acid in one salt changes places with all the lime combined with muriatic acid in the other salt; therefore, said richter, these different quantities of potash and lime are neutralized by the same quantity of nitric acid; and, hence, these amounts of potash and lime are chemically _equivalent_, because these are the amounts which perform the same reaction, viz. neutralization of a fixed quantity of acid. if then careful analyses were made of a number of such neutral compounds as those named, the _equivalents_ of all the commoner "bases" and "acids"[ ] might be calculated. richter's own determinations of the equivalents of acids and bases were not very accurate, but berzelius was impressed with the importance of this work. the year before the appearance of dalton's "new system" (_i.e._ in ), he began to prepare and carefully analyze series of neutral salts. as the work was proceeding he became acquainted with the theory of dalton, and at once saw its extreme importance. for some time berzelius continued to work on the lines laid down by dalton, and to accumulate data from which the atomic weights of elements might be calculated; but he soon perceived--as the founder of the theory had perceived from the very outset--that the fundamental conception of each atom of an element as being a distinct mass of matter weighing more or less than the atom of every other element, and of each atom of a compound as being built up of the atoms of the elements which compose that compound,--berzelius, i say, perceived that these conceptions must remain fruitless unless means were found for determining the number of elementary atoms in each compound atom. we have already learned the rules framed by the founder of the atomic theory for his guidance in attempting to solve this problem. berzelius thought those rules insufficient and arbitrary; he therefore laid down two general rules, on the lines of which he prosecuted his researches into chemical synthesis. "one atom of one element combines with one, two, three, or more atoms of another element." this is practically the same as dalton's definitions of binary, ternary, etc., compounds (p. ). "two atoms of one element combine with three and five atoms of another element." berzelius here recognizes the existence of compound atoms of a more complex structure than any of those recognized by dalton. berzelius further extended the conception of atom by applying it to groups of elements formed, according to him, by the combination of various compound atoms. to his mind every compound atom appeared as built up of two parts; each of these parts might be an elementary atom, or might be itself built up of several elementary atoms, yet in the berzelian theory each acted as a definite whole. so far as the building up of the complex atom went, each of the two parts into which this atom could be divided acted as if it were a simple atom. if we suppose a patch of two shades of red colour to be laid on a smooth surface, and alongside of this a patch of two shades of yellow colour, and if we suppose the whole mass of colour to be viewed from a distance such that one patch appears uniformly red and the other uniformly yellow, we shall have a rough illustration of the berzelian compound atom. to the observer the whole mass of colour appears to consist of two distinct patches of contrasted colours; but let him approach nearer, and he perceives that what appeared to be a uniform surface of red or yellow really consists of two patches of unlike shades of red or of yellow. the whole mass of colour represents the compound atom; broadly it consists of two parts--the red colour represents one of the constituent atoms, the yellow colour represents the other constituent atom; but on closer examination the red atom, so to speak--and likewise the yellow atom--is found to consist of parts which are less unlike each other than the whole red atom is unlike the whole yellow atom. we shall have to consider in more detail the reasoning whereby berzelius arrived at this conception of every compound atom as a _dual_ structure (see pp. - ). at present i wish to notice this conception as lying at the root of most of the work which he did in extending and applying the daltonian theory. i wish to insist on the fact that the atomic theory could not advance without methods being found for determining the number of elementary atoms in a compound atom, without clear conceptions being gained of every compound atom as a structure, and without at least attempts being made to learn the laws in accordance with which that structure was built. before the atomic weight of oxygen could be determined it was necessary that the number of oxygen and of hydrogen atoms in the atom of water should be known; otherwise all that could be stated was, the atomic weight of oxygen is a simple multiple of . berzelius did much to advance chemical science by the introduction and application of a few simple rules whereby he determined the number of elementary atoms in various compound atoms. but as the science advanced, and as more facts came to be known, the berzelian rules were found to be too narrow and too arbitrary; chemists sought for some surer and more generally applicable method than that which berzelius had introduced, and the imperious demand for this method at last forced them to recognize the importance of the great generalization of the italian naturalist avogadro, which they had possessed since the year , but the meaning of which they had so long failed to understand. berzelius made one great step in the direction of recognizing avogadro's distinction between atom and molecule when he accepted gay-lussac's generalization that "equal volumes of gases contain equal numbers of atoms:" but he refused to apply this to other than elementary gases. the weights of the volumes of elementary gases which combined were, for berzelius, also the weights of the atoms of these elements. thus, let the weight of one volume of hydrogen be called , then two volumes of hydrogen, weighing , combine with one volume of oxygen, weighing , to form two volumes of water vapour; therefore, said berzelius, the atom of water consists of two atoms of hydrogen and one atom of oxygen, and the atom of the latter element is sixteen times heavier than the atom of the former. three volumes of hydrogen, weighing , combine with one volume of nitrogen, weighing , to form two volumes of ammonia; therefore, said berzelius, the atom of ammonia consists of three atoms of hydrogen combined with one atom of nitrogen, and the nitrogen atom is fourteen times heavier than the atom of hydrogen. while berzelius was applying these rules to the determination of the atomic weights of the elements, and was conducting the most important series of analyses known in the annals of the science, two great physico-chemical discoveries were announced. in the year the "_law of isomorphism_" was stated by mitscherlich: "compounds the atoms of which contain equal numbers of elementary atoms, similarly arranged, have the same crystalline form." as thus stated, the law of isomorphism affirms that if two compounds crystallize in the same form, the atoms of these compounds are built up of the same number of elementary atoms--however different may be the nature of the elements in the compounds--and that these elementary atoms are similarly arranged. this statement was soon found to be too absolute, and was accordingly modified; but to go into the history of the law of isomorphism would lead us too far from the great main path of chemical advance, the course of which we are seeking to trace. berzelius at once accepted mitscherlich's law, as an aid in his researches on atomic weights. the help to be derived from this law may be illustrated thus: let us assume that two compounds have been obtained exhibiting identity of crystalline form; let it be further assumed that the number of elementary atoms in the atom of one of these compounds is known; it follows, by the law of isomorphism, that the number of elementary atoms in the atom of the other is known also. let the two compounds be _sulphate of potash_ and _chromate of potash_; let it be assumed that the atom of the first named is known to consist of two atoms of potassium, one atom of sulphur, and four atoms of oxygen; and that the second substance is known to be a compound of the elements potassium, chromium and oxygen; then the atom of the second compound contains, by mitscherlich's law, two atoms of potassium, one atom of chromium and four atoms of oxygen: hence the relative weight of the atom of chromate of potash can be determined, and hence the relative weight of the atom of chromium can also be determined. a year after the announcement of mitscherlich's law, the following generalization was stated to hold good, by two french naturalists, dulong and petit:--"the atoms of all solid elements have the same capacity for heat." if the amount of heat required to raise the temperature of one grain of water through one degree be called _one unit of heat_, then the capacity for heat of any body other than water is the number of units of heat required to raise the temperature of one grain of that substance through one degree. each chemical substance, elementary and compound, has its own capacity for heat; but, instead of comparing the capacities for heat of equal weights, dulong and petit compared the capacities for heat of weights representing the weights of the atoms of various elements. thus, equal amounts of heat are required to raise, through the same interval of temperature, fifty-six grains of iron, one hundred and eight grains of silver, and sixty-three and a half grains of copper; but the weights of the atoms of these three elements are in the proportion of : : - / . dulong and petit based their generalization on measurements of the capacities for heat of thirteen elements; further research has shown that their statement most probably holds good for all the solid elements. here then was a most important instrument put into the hands of the chemist. it is only necessary that the atomic weight of one solid element should be certainly known, and that the amount of heat required to raise through one degree the number of grains of that element expressed by its atomic weight should also be known; then the number which expresses the weight, in grains, of any other solid element which is raised through one degree by the same amount of heat, likewise expresses the relative weight of the atom of that element. thus, suppose that the atomic weight of silver is known to be , and suppose that six units of heat are required to raise the temperature of one hundred and eight grains of this metal through one degree; then suppose it is found by experiment that six units of heat suffice to raise the temperature of two hundred and ten grains of bismuth through one degree, it follows--according to the law of dulong and petit--that is the atomic weight of bismuth. the modified generalization of gay-lussac--"equal volumes of _elementary_ gases contain equal numbers of atoms;" the laws of "isomorphism" and of "atomic heat;" and the two empirical rules stated on p. ;--these were the guides used by berzelius in interpreting the analytical results which he and his pupils obtained in that memorable series of researches, whereby the conceptions of dalton were shown to be applicable to a wide range of chemical phenomena. the fixity of composition of chemical compounds has now been established; a definite meaning has been given to the term "element;" the conception of "atom" has been gained, but much remains to be done in the way of rendering this conception precise; and fairly good, but not altogether satisfactory methods have been introduced by which the relative weights of the atoms of elements and compounds may be determined. at this time chemists are busy preparing and describing new compounds, and many new elements are also being discovered; the need of classification begins to be felt more and more. in the days of berzelius and davy strenuous efforts were made to obtain some generalizations by the application of which the many known elements and compounds might be divided into groups. it was felt that a classification might be founded on the composition of compounds, or perhaps on the properties of the same compounds. these two general principles served as guides in most of the researches then instituted; answers were sought to these two questions: of what elements is this compound composed? and, what can this compound do; how does it react towards other bodies? lavoisier, as we know, regarded oxygen as the characteristic element of all _acids_. this term _acid_ implies the possession, by all the substances denoted by it, of some common property; let us shortly trace the history of this word in chemistry. vinegar was known to the greeks and romans, and the names which they gave this substance tell us that sourness was to them its characteristic property. they knew that vinegar effervesced when brought into contact with chalky earths, and that it was able to dissolve many substances--witness the story of cleopatra's draught of the pearl dissolved in vinegar. other substances possessed of these properties--for instance oil of vitriol and spirits of salt--as they became known, were classed along with vinegar; but no attempts were made to clearly define the properties of these bodies till comparatively recent times. the characteristics of an acid substance enumerated by boyle are--solvent power, which is exerted unequally on different bodies; power of turning many vegetable blues to red, and of restoring many vegetable colours which had been destroyed by alkalis; power of precipitating solid sulphur from solutions of this substance in alkalis, and the power of acting on alkalis to produce substances without the properties of either acid or alkali. but what, one may ask, is an alkali, of which mention is so often made by boyle? from very early times it had been noticed that the ashes which remained when certain plants were burned, and the liquid obtained by dissolving those ashes in water, had great cleansing powers; that they removed oily matter, fat and dirt from cloth and other fabrics. the fact that an aqueous solution of these ashes affects the coloured parts of many plants was also noticed in early times. as progress was made in chemical knowledge observers began to contrast the properties of this plant-ash with the properties of acids. the former had no marked taste, the latter were always very sour; the former turned some vegetable reds to blue, the latter turned the blues to red; a solution of plant-ash had no great solvent action on ordinary mineral matter, whereas this matter was generally dissolved by an acid. in the time of the alchemists, who were always seeking for the principles or essences of things, these properties of acids were attributed to _a principle of acidity_, while the properties of plant-ash and substances resembling plant-ash were attributed to a _principle of alkalinity_ (from arabic _alkali_, or _the ash_). in the seventeenth century the distinction between acid and alkali was made the basis of a system of chemical medicine. the two principles of acidity and alkalinity were regarded as engaged in an active and never-ending warfare. every disease was traced to an undue preponderance of one or other of these principles; to keep these unruly principles in quietness became the aim of the physician, and of course it was necessary that the physician should be a chemist, in order that he might know the nature and habits of the principles which gave him so much trouble. up to this time the term "alkali" had been applied to almost any substance having the properties which i have just enumerated; but this group of substances was divided by van helmont and his successors into _fixed alkali_ and _volatile alkali_, and fixed alkali was further subdivided into _mineral alkali_ (what we now call soda) and _vegetable alkali_ (potash). about the same time acids were likewise divided into three groups; _vegetable_, _animal_, and _mineral acids_. to the properties by which alkali was distinguished, viz. cleansing power and action on vegetable colouring matters, stahl (the founder of the phlogistic theory) added that of combining with acids. when an acid (that is, a sour-tasting substance which dissolves most earthy matters and turns vegetable blues to red) is added to an alkali (that is, a substance which feels soap-like to the touch, which does not dissolve many earthy matters, and which turns many vegetable reds to blue) the properties of both acid and alkali disappear, and a new substance is produced which is not characterized by the properties of either constituent. the new substance, as a rule, is without action on earthy matters or on vegetable colours; it is not sour, nor is it soapy to the touch like alkali; it is _neutral_. it is _a salt_. but, although stahl stated that an alkali is a substance which combines with an acid, it was not until a century later that these three--alkali, acid, salt--were clearly distinguished. but the knowledge that a certain group of bodies are sour and dissolve minerals, etc., and that a certain other group of bodies are nearly tasteless and do not dissolve minerals, etc., was evidently a knowledge of only the outlying properties of the bodies; it simply enabled a term to be applied to a group of bodies, which term had a definite connotation. _why_ are acids acid, and _why_ are alkalis alkaline? acids are acid, said becher (latter part of seventeenth century), because they all contain the same principle, viz. the primordial acid. this primordial acid is more or less mixed with earthy matter in all actual acids; it is very pure in spirits of salt. alkalis are alkaline, said basil valentine (beginning of the sixteenth century), because they contain a special kind of matter, "the matter of fire." according to other chemists (_e.g._ j. f. meyer, ), acids owe their acidity to the presence of a sharp or biting principle got from fire. acids, alkalis and salts _all_ contain, according to stahl (beginning of the eighteenth century), more or less _primordial acid_. the more of this a substance contains, the more acid it is; the less of this it contains, the more alkaline it is. all these attempted explanations recognize that similar properties are to be traced to similarity of composition; but the assertion of the existence of a "primordial acid," or of "the matter of fire," although undoubtedly a step in advance, was not sufficiently definite (unless it was supplemented by a distinct account of the properties of these principles) to be accepted when chemical knowledge became accurate. the same general consideration, founded on a large accumulation of facts, viz. that similarity of properties is due to similarity of composition, guided lavoisier in his work on acids. he found the "primordial acid" of stahl, and the "biting principle" of meyer, in the element oxygen. i have already (p. ) shortly traced the reasoning whereby lavoisier arrived at the conclusion that oxygen is _the acid-producer_; here i would insist on the difference between his method and that of basil valentine, stahl and the older chemists. _they_ carried into the domain of natural science conceptions obtained from, and essentially belonging to the domain of metaphysical or extra-physical speculation; _he_ said that oxygen is the acidifier, because all the compounds of this element which he actually examined were possessed of the properties included under the name acid. we know that lavoisier's conclusion was erroneous, that it was not founded on a sufficiently broad basis of facts. the conception of an acidifying principle, although that principle was identified with a known element, was still tainted with the vices of the alchemical school. we shall see immediately how much harm was done by the assertion of lavoisier, "all acids contain oxygen." in chapter ii. (pp. - ) we traced the progress of knowledge regarding alkalis from the time when the properties of these bodies were said to be due to the existence in them of "matter of fire," to the time when black had clearly distinguished and defined caustic alkali and carbonated alkali. the truly philosophical character, and at the same time the want of enthusiasm, of black become apparent if we contrast his work on alkali with that of lavoisier on acid. black did not hamper the advance of chemistry by finding a "principle of alkalinity;" but neither did he give a full explanation of the fact that certain bodies are alkaline while others are not. he set himself the problem of accurately determining the differences in composition between burnt (or caustic) and unburnt (or mild) alkali, and he solved the problem most successfully. he showed that the properties of mild alkalis differ from those of caustic alkalis, because the composition of the former differs from that of the latter; and he showed exactly wherein this difference of composition consists, viz. in the possession or non-possession of fixed air. strange we may say that this discovery did not induce black to prosecute the study of caustic alkalis: surely he would have anticipated davy, and have been known as the discoverer of potassium and sodium. in the time of stahl the name "salt" was applied, as we have learned, to the substance produced by the union of an acid with an alkali; but the same word was used by the alchemists with an altogether different signification. originally applied to the solid matter obtained by boiling down sea-water, and then extended to include all substances which, like this solid matter, are very easily dissolved by water and can be recovered by boiling down this solution, "salt" was, in the sixteenth and seventeenth centuries, the name given to one of the hypothetical principles or elements. many kinds of matter were known to be easily dissolved by water; the common possession of these properties was sought to be accounted for by saying that all these substances contained the same principle, namely, _the principle of salt_. i have already tried to indicate the reasoning whereby boyle did so much to overthrow this conception of salt. he also extended our knowledge of special substances which are now classed as salts. the chemists who came after boyle gradually reverted to the older meaning of the term "salt," adopting as the characteristics of all substances placed in this class, ready solubility in water, fusibility, or sometimes volatility, and the possession of a taste more or less like that of sea-salt. substances which resembled salts in general appearance, but were insoluble in water, and very fixed in the fire, were called "earths"; and, as was generally done in those days, the existence of a primordial earth was assumed, more or less of which was supposed to be present in actual earths. this recognition of the possibility of more or less of the primordial earth being present in actually occurring earths, of course necessitated the existence of various kinds of earth. the earths were gradually distinguished from each other; lime was recognized as a substance distinct from baryta, baryta as distinct from alumina, etc. stahl taught that one essential property of an earth was fusibility by fire, with production of a substance more or less like glass. this property was possessed in a remarkable degree by quartz or silica. hence silica was regarded as the typical earth, until berzelius, in , proved it to be an acid. but the earths resembled alkalis, inasmuch as they too combined with, and so neutralized, acids. there is an alkali hidden in every earth, said some chemists. an alkali is an earth refined by the presence of acid and combustible matter, said others. earths thus came to be included in the term "alkali," when that term was used in its widest acceptation. but a little later it was found that some of the earths were thrown down in the solid form from their solutions in acids by the addition of alkalis; this led to a threefold division, thus-- earths <----> alkaline earths <----> alkalis insoluble somewhat soluble very soluble in in water. in water. water. the distinction at first drawn between "earth" and "alkali" was too absolute; the intermediate group of "alkaline earths" served to bridge over the gap between the extreme groups. "in nature," says wordsworth, "everything is distinct, but nothing defined into absolute independent singleness." at this stage of advance, then, an earth is regarded as differing from an alkali in being insoluble, or nearly insoluble in water; in not being soapy to the touch, and not turning vegetable reds to blue: but as resembling an alkali, in that it combines with and neutralizes an acid; and the product of this neutralization, whether accomplished by an alkali or by an earth, is called a salt. to the earth or alkali, as being the foundation on which the salt is built, by the addition of acid, the name of _base_ was given by rouelle in . but running through every conception which was formed of these substances--acid, alkali, earth, salt--we find a tendency, sometimes forcibly marked, sometimes feebly indicated, but always present, to consider salt as a term of much wider acceptation than any of the others. an acid and an alkali, or an acid and an earth, combine to form a salt; but the salt could not have been thus produced unless the acid, the alkali and the earth had contained in themselves some properties which, when combined, form the properties of the salt. the acid, the alkali, the earth, each is, in a sense, a salt. the perfect salt is produced by the coalescence of the saltness of the acid with the saltness of the alkali. this conception finds full utterance in the names, once in common use, of _sal acidum_ for acid, _sal alkali_ for alkali, and _sal salsum_ or _sal neutrum_ for salt. all are salts; at one extreme comes that salt which is marked by properties called acid properties, at the other extreme comes the salt distinguished by alkaline properties, and between these, and formed by the union of these, comes the middle or neutral salt. it is thus that the nomenclature of chemistry marks the advances made in the science. "what's in a name?" to the historical student of science, almost everything. we shall find how different is the meaning attached in modern chemistry to these terms, _acid salt_, _alkaline salt_, _neutral salt_, from that which our predecessors gave to their _sal acidum_, _sal alkali_, and _sal neutrum_. we must note the appearance of the term _vitriol_, applied to the solid salt-like bodies obtained from acids and characterized by a glassy lustre. by the middle of last century the vitriols were recognized as all derived from, or compounded of, sulphuric acid (oil of vitriol) and metals; this led to a subdivision of the large class of neutral salts into ( ) metallic salts produced by the action of sulphuric acid on metals, and ( ) neutral salts produced by the action of earths or alkalis on acids generally. to rouelle, a predecessor of lavoisier, who died four years before the discovery of oxygen, we owe many accurate and suggestive remarks and experiments bearing on the term "salt." i have already mentioned that it was he who applied the word "base" to the alkali or earth, or it might be metal, from which, by the action of acid, a salt is built up. he also ceased to speak of an acid as _sal acidum_, or of an alkali as _sal alkali_, and applied the term "salt" exclusively to those substances which are produced by the action of acids on bases. when the product of such an action was neutral--that is, had no sour taste, no soapy feeling to the touch, no action on vegetable colours, and no action on acids or bases--he called that product _a neutral salt_; when the product still exhibited some of the properties of acid, _e.g._ sourness of taste, he called it _an acid salt_; and when the product continued to exhibit some of the properties of alkali, _e.g._ turned vegetable reds to blue, he called it _an alkaline salt_. rouelle also proved experimentally that an acid salt contains more acid--relatively to the same amount of base--than a neutral salt, and that an alkaline salt contains more base--relatively to the same amount of acid--than a neutral salt; and he proved that this excess of acid, or of base, is chemically united to the rest of the salt--is, in other words, an essential part of the salt, from which it cannot be removed without changing the properties of the whole. but we have not as yet got to know why certain qualities connoted by the term "acid" can be affirmed to belong to a group of bodies, why certain other, "alkaline," properties belong to another group, nor why a third group can be distinguished from both of these by the possession of properties which we sum up in the term "earthy." surely there must be some peculiarity in the composition of these substances, common to all, by virtue of which all are acid. the atom of an acid is surely composed of certain elements which are never found in the atom of an alkali or an earth; or perhaps the difference lies in the number, rather than in the nature of the elements in the acid atoms, or even in the arrangement of the elementary atoms in the compound atom of acid, of alkali, and of earth. i think that our knowledge of salt is now more complete than our knowledge of either acid, alkali, or earth. we know that a salt is formed by the union of an acid and an alkali or earth; if, then, we get to know the composition of acids and bases (_i.e._ alkalis and earths), we shall be well on the way towards knowing the composition of salts. and now we must resume our story where we left it at p. . lavoisier had recognized oxygen as the acidifier; black had proved that a caustic alkali does not contain carbonic acid. up to this time metallic calces, and for the most part alkalis and earths also, had been regarded as elementary substances. lavoisier however proved calces to be compounds of metals and oxygen; but as some of those calces had all the properties which characterized earths, it seemed probable that all earths are metallic oxides, and if all earths, most likely all alkalis also. many attempts were made to decompose earths and alkalis, and to obtain the metal, the oxide of which the earth or the alkali was supposed to be. one chemist thought he had obtained a metal by heating the earth baryta with charcoal, but from the properties of his metal we know that he had not worked with a pure specimen of baryta, and that his supposed metallic base of baryta was simply a little iron or other metal, previously present in the baryta, or charcoal, or crucible which he employed. but if lavoisier's view were correct--if all bases contained oxygen--it followed that all salts are oxygen compounds. acids all contain oxygen, said lavoisier; this was soon regarded as one of the fundamental facts of chemistry. earths and alkalis are probably oxides of metals; this before long became an article of faith with all orthodox chemists. salts are produced by the union of acids and bases, therefore all salts contain oxygen: the conclusion was readily adopted by almost every one. when the controversy between lavoisier and the phlogistic chemists was at its height, the followers of stahl had taunted lavoisier with being unable to explain the production of hydrogen (or phlogiston as they thought) during the solution of metals in acids; but when lavoisier learned the composition of water, he had an answer sufficient to quell these taunts. the metal, said lavoisier, decomposes the water which is always present along with the acid, hydrogen is thus evolved, and the metallic calx or oxide so produced dissolves in the acid and forms a salt. if this explanation were correct--and there was an immense mass of evidence in its favour and apparently none against it--then all the salts produced by the action of acids on metals necessarily contained oxygen. the lavoisierian view of a salt, as a compound of a metallic oxide--or base--with a non-metallic oxide--or acid--seemed the only explanation which could be accepted by any reasonable chemist: in the early years of this century it reigned supreme. but even during the lifetime of its founder this theory was opposed and opposed by the logic of facts. in berthollet published an account of experiments on prussic acid,--the existence and preparation (from prussian blue) of which acid had been demonstrated three or four years before by the swedish chemist scheele--which led him to conclude this compound to be a true acid, but free from oxygen. in the same chemist studied the composition and properties of sulphuretted hydrogen, and pronounced this body to be an acid containing no oxygen. but the experiments and reasoning of berthollet were hidden by the masses of facts and the cogency of argument of the lavoisierian chemists. the prevalent views regarding acids and bases were greatly strengthened by the earlier researches of sir humphry davy, in which he employed the voltaic battery as an instrument in chemical investigation. let us now consider some of the electro-chemical work of this brilliant chemist. in the spring of the year the electrical battery, which had recently been discovered by volta, was applied by nicholson and carlisle to effect the decomposition of water. the experiments of these naturalists were repeated and confirmed by davy, then resident at bristol, who followed up this application of electricity to effect chemical changes by a series of experiments extending from to , and culminating in the bakerian lecture delivered before the royal society in the latter year. the history of davy's life during these years, years rich in results of the utmost importance to chemical science, will be traced in the sequel; meanwhile we are concerned only with the results of his chemical work. the first bakerian lecture of humphry davy, "on some chemical agencies of electricity," deserves the careful study of all who are interested in the methods of natural science; it is a brilliant example of the disentanglement of a complex natural problem. volta and others had subjected water to the action of a current of electricity, and had noticed the appearance of acid and alkali at the oppositely electrified metallic surfaces. according to some experimenters, the acid was nitrous, according to others, muriatic acid. one chemist asserted the production of a new and peculiar body which he called _the electric acid_. the alkali was generally said to be ammonia. when davy passed an electric current through distilled water contained in glass vessels, connected by pieces of moist bladder, cotton fibre, or other vegetable matters, he found that nitric and hydrochloric acids were formed in the water surrounding the positively electrified plate or pole, and soda around the negatively electrified pole, of the battery. when the same piece of cotton fibre was repeatedly used for making connection between the glass vessels, and was washed each time in dilute nitric acid, davy found that the production of muriatic acid gradually ceased; hence he traced the formation of this acid to the presence of the animal or vegetable substance used in the experiments. finding that the glass vessels were somewhat corroded, and that the greater the amount of corrosion the greater was the amount of soda making its appearance around the negative pole, he concluded that the soda was probably a product of the decomposition of the glass by the electric current; he therefore modified the experiment. he passed an electric current through distilled water contained in small cups of agate, previously cleaned by boiling in distilled water for several hours, and connected by threads of the mineral asbestos, chosen as being quite free from vegetable matter; alkali and acid were still produced. the experiment was repeated several times with the same apparatus; acid and alkali were still produced, but the alkali decreased each time. the only conclusion to be drawn was that the alkali came from the water employed. two small cups of gold were now used to contain the water; a very small amount of alkali appeared at the negative pole, and a little nitric acid at the positive pole. the quantity of acid slowly increased as the experiment continued, whereas the quantity of alkali remained the same as after a few minutes' action of the electric current. the production of alkali is probably due, said davy, to the presence in the water of some substance which is not removed by distillation in a glass retort. by boiling down in a silver dish a quantity of the water he had used, a very small amount of solid matter was obtained, which after being heated was distinctly alkaline. moreover when a little of this solid matter was added to the water contained in the two golden cups, there was a sudden and marked increase in the amount of alkali formed around the negative pole. another quantity of the water which he had used was again distilled in a silver retort, and a little of the distillate was subjected to electrolysis as before. no alkali appeared. a little piece of glass was placed in the water; alkali quickly began to form. davy thus conclusively proved that the alkali produced during the electrolysis (_i.e._ decomposition by the electric current) of water is not derived from the water itself, but from mineral impurities contained in the water, or in the vessel in which the water is placed during the experiment. but the production of nitric acid around the positive pole was yet to be accounted for. before further experiments could be made it was necessary that davy should form an hypothesis--that he should mentally connect the appearance of the nitric acid with some other phenomenon sufficient to produce this appearance; he could then devise experiments which would determine whether the connection supposed to exist between the two phenomena really did exist or not. now, of the constituents of nitric acid--nitrogen, hydrogen and oxygen--all except the first named are present in pure water; nitrogen is present in large quantity in the ordinary atmosphere. it was only necessary to assume that some of the hydrogen and oxygen produced during the electrolysis of water seized on and combined with some of the nitrogen in the air which surrounded that water, and the continual production of nitric acid during the whole process of electrolysis was explained. but how was this assumption to be proved or disproved? davy adopted a method frequently made use of in scientific investigations:--remove the assumed cause of a phenomenon; if the phenomenon ceases to be produced, the assumed cause is probably the real cause. davy surrounded the little gold cups containing the water to be electrolysed with a glass jar which he connected with an air-pump; he exhausted most of the air from the jar and then passed the electric current through the water. very little nitric acid appeared. he now again took out most of the air from the glass jar, admitted some hydrogen to supply its place, and again pumped this out. this process he repeated two or three times and then passed the electric current. _no_ acid appeared in the water. he admitted air into the glass vessel; nitric acid began to be produced. thus he proved that whenever air was present in contact with the water being electrolysed, nitric acid made its appearance, and when the air was wholly removed the acid ceased to be produced. as he had previously shown that the production of this acid was not to be traced to impurities in the water, to the nature of the vessel used to contain the water, or to the nature of the material of which the poles of the battery were composed, the conclusion was forced upon him that the production of nitric acid in the water, and the presence of ordinary air around the water invariably existed together; that if one of these conditions was present, the other was also present--in other words, that one was the cause of the other. the result of this exhaustive and brilliant piece of work is summed up by davy in these words: "it seems evident then that water, chemically pure, is decomposed by electricity into gaseous matter alone, into oxygen and hydrogen." from the effects of the electric current on glass, davy argued that other earthy compounds would probably undergo change under similar conditions. he therefore had little cups of gypsum made, in which he placed pure water, and passed an electric current through the liquid. lime was formed around the negative, and sulphuric acid around the positive pole. using similar apparatus, he proved that the electric current decomposes very many minerals into an earthy or alkaline base and an acid. picturing to himself the little particles of a salt as being split by the electric current each into two smaller particles, one possessed of acid and the other of alkaline properties, davy thought it might be possible to intercept the progress of these smaller particles, which he saw ever travelling towards the positive and negative poles of the battery. he accordingly connected these small glass vessels by threads of washed asbestos; in one of the outer vessels he placed pure water, in the other an aqueous solution of sulphate of potash, and in the central vessel he placed ammonia. the negative pole of the battery being immersed in the sulphate of potash, and the positive pole in the water, it was necessary for the particles of sulphuric acid--produced by the decomposition of the sulphate of potash--to travel through the ammonia in the central vessel before they could find their way to the positive pole. now, ammonia and sulphuric acid cannot exist in contact--they instantly combine to form sulphate of ammonia; the sulphuric acid particles ought therefore to be arrested by the ammonia. but the sulphuric acid made its appearance at the positive pole just as if the central vessel had contained water. it seemed that the mutual attraction ordinarily exerted between sulphuric acid and ammonia was overcome by the action of the electric current. ammonia would generally present an insuperable barrier to the progress of sulphuric acid, but the electrical energy appeared to force the acid particles over this barrier; they passed towards their goal as if nothing stood in their way. experiments are now multiplied by davy, and the general conclusion drawn is that "hydrogen, the alkaline substances, the metals and certain metallic oxides are attracted by negatively electrified metallic surfaces, and repelled by positively electrified metallic surfaces; and contrariwise, that oxygen and acid substances are attracted by positively electrified metallic surfaces, and repelled by negatively electrified metallic surfaces; and these attractive and repulsive forces are sufficiently energetic to destroy or suspend the usual operation of chemical affinity."[ ] to account for this apparent suspension of the ordinary chemical laws, davy supposes that chemical compounds are continually decomposed and re-formed throughout the liquid which is subjected to the electrical action. thus, in the experiment with water, ammonia and sulphate of potash, he supposes that the sulphuric acid and ammonia do combine in the central vessel to form sulphate of ammonia, but that this compound is again decomposed, by the electrical energy, into sulphuric acid--which passes on towards the positive pole--and ammonia--which remains in the central vessel--ready to combine with more sulphuric acid as that comes travelling onwards from its source in the vessel containing sulphate of potash to its goal in the vessel containing water. the eye of the philosopher had pierced beneath the apparent stability of the chemical systems which he studied. to his vision there appeared in those few drops of water and ammonia and sulphate of potash a never-ceasing conflict of contending forces; there appeared a continual shattering and rebuilding of the particles of which the masses were composed. the whole was at rest, the parts were in motion; the whole was constant in chemical composition, the composition of each particle was changed a thousand times in the minutest portion of every second. to the mind of davy, the electrolysis of every chemical compound was a new application of the great law established by newton--"to every action there is an equal and opposite reaction." each step made in chemical science since davy's time has but served to emphasize the universality of this principle of action and reaction, a principle which has been too much overlooked in the chemical text-books, but the importance of which recent researches are beginning to impress on the minds of chemists. it is the privilege of the philosophic student of nature to penetrate the veil with which she conceals her secrets from the vulgar gaze. to him are shown sights which "eye hath not seen," and by him are perceived sounds which "ear hath not heard." each drop of water is seen by him not only to be built up of myriads of small parts, but each particle is seen to be in motion; many particles are being decomposed into still smaller particles of matter, different in properties from the original particles, but as the original particles are at the same time being reproduced, the continued existence of the drop of water with the properties of water is to him the result of the mutual action and reaction of contending forces. he knows that rest and permanence are gained, not by the cessation of action, but by the continuance of conflict; he knows that in the realm of natural phenomena, stable equilibrium is the resultant of the action of opposite forces, and that complete decomposition occurs only when one force becomes too powerful or another becomes too weak. pursuing the train of thought initiated by the experiments which i have described, davy entered upon a series of researches which led him to consider every chemical substance as possessing definite electrical relations towards every other substance. "as chemical attraction between two bodies seems to be destroyed by giving one of them an electrical state different from that which it naturally possessed--that is, by bringing it into a state similar to the other--so it may be increased by exalting its natural energy." thus zinc, a metal easily oxidized, does not combine with oxygen when negatively electrified, whereas silver, a metal oxidized with difficulty, readily combines with oxygen when positively electrified. substances in opposite electrical states appear to combine chemically, and the greater the electrical difference the greater the readiness with which chemical combination is effected. electrical energy and chemical attraction or _affinity_ are evidently closely connected; perhaps, said davy, they are both results of the same cause. thus davy arrived at the conception of a system of bodies as maintained in equilibrium by the mutual actions and reactions of both chemical and electrical forces; by increasing either of these a change is necessarily produced in the other. under certain electrical conditions the bodies will exert no chemical action on one another, but such action may be started by changing these electrical conditions, or, on the other hand, by changes in the chemical relations of the bodies a change in the electrical relations may be induced. thus davy found that if plates of copper and sulphur are heated, the copper exhibits a positive and the sulphur a negative electrical condition; that these electrical states become more marked as temperature rises, until the melting point of sulphur is reached, when the copper and sulphur combine together chemically and produce sulphide of copper. when water is electrolysed, davy looked on the oppositely electrified metallic plates in the battery as striving to attain a state of equilibrium; the negatively electrified zinc strives to gain positive electricity from the copper, which strives to gain negative electricity from the zinc. the water he regarded as the carrier of these electricities, the one in this direction, the other in that. in thus acting as a carrier, the water is itself chemically decomposed, with production of hydrogen and oxygen; but this chemical rearrangement of some of the substances which composed the original system (of battery and water) involves a fresh disturbance of electrical energy, and so the process proceeds until the whole of the water is decomposed or the whole of the copper or zinc plate is dissolved in the battery. if the water were not chemically decomposed, davy thought that the zinc and copper in the battery would quickly attain the state of electrical equilibrium towards which they continually strive, and that the current would therefore quickly cease. davy thought that "however strong the natural electrical energies of the elements of bodies may be, yet there is every probability of a limit to their strength; whereas the powers of our artificial instruments seem capable of indefinite increase." by making use of a very powerful battery, he hoped to be able to decompose substances generally regarded as simple bodies. taking a wide survey of natural phenomena, he sees these two forces, which we call chemical and electrical, everywhere at work, and by their mutual actions upholding the material universe in equilibrium. in the outbreaks of volcanoes he sees the disturbance of this equilibrium by the undue preponderance of electrical force; and in the formation of complex minerals beneath the surface of the earth, he traces the action of those chemical attractions which are ever ready to bring about the combination of elements, if they are not held in check by the opposing influence of electrical energy. we shall see how the great and philosophical conception of davy was used by berzelius, and how, while undoubtedly gaining in precision, it lost much in breadth in being made the basis of a rigid system of chemical classification. davy's hope that the new instrument of research placed in the hands of chemists by volta would be used in the decomposition of supposed simple substances was soon to be realized. a year after the lecture "on some chemical agencies of electricity," davy was again the reader of the bakerian lecture; this year ( ) it was entitled, "on some new phenomena of chemical change produced by electricity, particularly the decomposition of the fixed alkalis; and the exhibition of the new substances which constitute their bases; and on the general nature of alkaline bodies." in his first experiments on the effect of the electrical current on potash and soda, davy used strong aqueous solutions of these alkalis, with the result that hydrogen and oxygen only were evolved. he then passed the current through melted potash kept liquid during the operation by the use of a spirit-lamp, the flame of which was fed with oxygen. much light was evolved, and a great flame appeared at the negative pole; on changing the direction of the current, "aeriform globules, which inflamed in the air, rose through the potash." on the th of october , a piece of potash was placed on a disc of platinum, which was made the negative pole of a very powerful battery; a platinum wire brought into contact with the upper surface of the potash served as the positive pole. when the current was passed, the potash became hot and soon melted; gas was evolved at the upper surface, and at the lower (negative) side "there was no liberation of elastic fluid, but small globules, having a high metallic lustre, and being precisely similar in visible characters to quicksilver appeared, some of which burst with explosion and bright flame as soon as they were formed, and others remained, and were merely tarnished, and finally covered by a white film which formed on their surfaces." when davy saw these metallic globules burst through the crust of fusing potash, we are told by one of his biographers, "he could not contain his joy, he actually bounded about the room in ecstatic delight; and some little time was required for him to compose himself sufficiently to continue the experiment." this was the culminating point of the researches in which he had been continuously engaged for about six years. his interest and excitement were intense; the bakerian lecture was written "on the spur of the occasion, before the excitement of the mind had subsided," yet, says his biographer--and we may well agree with him--"yet it bears proof only of the maturest judgment; the greater part of it is as remarkable for experimental accuracy as for logical precision." but "to every action there is an equal and opposite reaction:" immediately after the delivery of the lecture, davy was prostrated by a severe attack of illness, which confined him to bed for nine weeks, and was very nearly proving fatal. that the phenomenon just described was really the decomposition of potash, and the production of the metal of which this substance is an oxygenized compound, was proved by obtaining similar results whether plates of silver, copper, or gold, or vessels of plumbago, or even charcoal, were used to contain the potash, or whether the experiment was conducted in the air, or in a glass vessel from which air had been exhausted, or in glass tubes wherein the potash was confined by mercury. the decomposition of potash was followed within a few days by that of soda, from which substance metallic globules were obtained which took fire when exposed to the air. but the analysis of potash and soda was not sufficient for davy; he determined to accomplish the synthesis of these substances. for this purpose he collected small quantities of the newly discovered metals, by conducting the electrolysis of potash and soda under experimental conditions such that the metals, as soon as produced, were plunged under the surface of naphtha, a liquid which does not contain oxygen, and which protected them from the action of the surrounding air. a weighed quantity of each metal was then heated in a stream of pure dry oxygen, the products were collected and weighed, and it was found that solutions of these products in water possessed all the properties of aqueous solutions of potash and soda. the new metals were now obtained in larger quantity by davy, and their properties carefully determined by him; they were named _potassium_ and _sodium_ respectively. they were shown to possess all those properties which were generally accepted as characteristic of metal, except that of being heavy. the new metals were extremely light, lighter than water. for some time it was difficult to convince all chemists that a metal could be a very light substance. we are assured that a friend of davy, who was shown potassium for the first time, and was asked what kind of substance he supposed it to be, replied, "it is metallic, to be sure;" "and then, balancing it on his finger, he added in a tone of confidence, 'bless me, how heavy it is!'" davy argued that since the alkalis, potash and soda, were found to be oxygen compounds of metals, the earths would probably also be found to be metallic oxides. in the year he succeeded in decomposing the three earths, lime, baryta and strontia, and in obtaining the metals _calcium_, _barium_ and _strontium_, but not in a perfectly pure condition, or in any quantity. he also got evidence of the decomposition of the earths silica, alumina, zirconia and beryllia, by the action of powerful electric currents, but he did not succeed in obtaining the supposed metallic bases of these substances. so far davy's discoveries had all tended to confirm the generally accepted view which regarded alkalis and earths as metallic oxides. but we found that the outcome of these views was to regard all salts--and among these, of course, common salt--as oxygen compounds.[ ] acids were oxygen compounds, bases were oxygen compounds, and as salts were produced by the union of acids with bases, they, too, must necessarily be oxygen compounds. berthollet had thrown doubt on the universality of lavoisier's name "oxygen," _the_ acidifier, but he had not conclusively proved the existence of any acid which did not contain oxygen. the researches of davy naturally led him to consider the prevalent views regarding acids, bases and salts. muriatic (or as we now call it hydrochloric) acid had long been a stumbling-block to the thorough-going lavoisierian chemists. oxygen could not be detected in it, yet it ought to contain oxygen, because oxygen is the acidifier. of course, if muriatic acid contains oxygen, the salts--muriates--produced by the action of this acid on alkalis and earths must also contain oxygen. many years before this time the action of muriatic acid on manganese ore had been studied by the swedish chemist scheele, who had thus obtained a yellow-coloured gas with a very strong smell. berthollet had shown that when a solution of this gas in water is exposed to sunlight, oxygen is evolved and muriatic acid is produced. the yellow gas was therefore supposed to be, and was called, "oxidized muriatic acid," and muriatic acid was itself regarded as composed of oxygen and an unknown substance or _radicle_. in gay-lussac and thenard found that one volume of hydrogen united with one volume of the so-called oxidized muriatic acid to form muriatic acid; the presence of hydrogen in this acid was therefore proved. when davy began ( - ) to turn his attention specially to the study of salts, he adopted the generally accepted view that muriatic acid is a compound of oxygen and an unknown radicle, and that by the addition of oxygen to this compound oxidized muriatic acid is produced. but unless davy could prove the presence of oxygen in muriatic acid he could not long hold the opinion that oxygen was really a constituent of this substance. he tried to obtain direct evidence of the presence of oxygen, but failed. he then set about comparing the action of muriatic acid on metals and metallic oxides with the action of the so-called oxidized muriatic acid on the same substances. he showed that salt-like compounds were produced by the action of oxidized muriatic acid either on metals or on the oxides of these metals, oxygen being evolved in the latter cases; and that the same compounds and water were produced by the action of muriatic acid on the same metallic oxides. these results were most easily and readily explained by assuming the so-called oxidized muriatic acid to be an elementary substance, and muriatic acid to be a compound of this element with hydrogen. to the new element thus discovered--for he who establishes the elementary nature of a substance may almost be regarded as its discoverer--davy gave the name of _chlorine_, suggested by the yellow colour of the gas (from greek, = _yellow_). he at once began to study the analogies of chlorine, to find by experiment which elements it resembled, and so to classify it. many metals, he found, combined readily with chlorine, with evolution of heat and light. it acted, like oxygen, as a supporter of combustion; it was, like oxygen, attracted towards the negative pole of the voltaic battery; its compound with hydrogen was an acid; hence said davy chlorine, like oxygen, is a supporter of combustion and also an acidifier. but it was very hard to get chemists to adopt these views. as bacon says, "if false facts in nature be once on foot, what through neglect of examination, the countenance of antiquity, and the use made of them in discourse, they are scarce ever retracted." chemists had long been accustomed to systems which pretended to explain all chemical facts. the phlogistic theory, which had tyrannized over chemistry, had been succeeded by the lavoisierian chemistry, which recognized one acidifier, and this also the one supporter of combustion. to ascribe these properties to any element other than oxygen appeared almost profane. but when davy spoke of chlorine as an acidifier, he did not use this word in the same sense as that in which it was employed by the upholders of the oxygen theory of acids; he simply meant to express the fact that a compound containing chlorine as one of its constituents, but not containing oxygen, was a true acid. when gay-lussac attempted to prove that hydrogen is an _alkalizing principle_, davy said, "this is an attempt to introduce into chemistry a doctrine of occult qualities, and to refer to some mysterious and inexplicable energy what must depend upon a peculiar corpuscular arrangement." and with regard to gay-lussac's strained use of analogies between hydrogen compounds and alkalis, he says, "the substitution of analogy for fact is the bane of chemical philosophy; the legitimate use of analogy is to connect facts together, and to guide to new experiments." but davy's facts were so well established, and his experiments so convincing, that before two or three years had passed, most chemists were persuaded that chlorine was an element--_i.e._ a substance which had never been decomposed--and that muriatic acid was a compound of this element with hydrogen. berzelius was among the last to adopt the new view. wöhler tells us that in the winter of , when he was working in the laboratory of berzelius, anna, while washing some basins, remarked that they smelt strongly of oxidized muriatic acid: "now," said berzelius, "listen to me, anna. thou must no longer say 'oxidized muriatic acid,' but 'chlorine;' that is better." this work on chlorine was followed up, in , by the proof that the class of acidifiers and supporters of combustion contains a third elementary substance, viz. iodine. as davy's views regarding acids and salts became developed, he seems to have more and more opposed the assumption that any one element is especially to be regarded as the acidifying element; but at the same time he seems to admit that most, if not all, acids contain hydrogen. such oxides as sulphur trioxide, nitrogen pentoxide, etc., do not possess acid properties except in combination with water. but he of course did not say that all hydrogen compounds are acids; he rather regarded the possession by a substance of acid properties as dependent, to a great extent, on the nature of the elements other than hydrogen which it contained, or perhaps on the arrangement of all the elements in the particles of the acid. he regarded the hydrogen in an acid as capable of replacement by a metal, and to the metallic derivative--as it might be called--of the acid, thus produced, he gave the name of "salt." an acid might therefore be a compound of hydrogen with one other element--such were hydrochloric, hydriodic, hydrofluoric acids--or it might be a compound of hydrogen with two or more elements, of which one might or might not be oxygen--such were hydrocyanic acid and chloric or nitric acid. if the hydrogen in any of these acids were replaced by a metal a salt would be produced. a salt might therefore contain no oxygen, _e.g._ chloride or iodide of potassium; but in most cases salts did contain oxygen, _e.g._ chlorate or nitrate of potassium. acids were thus divided into oxyacids (or acids which contain oxygen) and acids containing no oxygen; the former class including most of the known acids. the old view of salts as being compounds of acids (_i.e._ oxides of the non-metallic elements) and bases (_i.e._ oxides of metals) was overthrown, and salts came to be regarded as metallic derivatives of acids. from this time, these terms--acids, salts, bases--become of less importance than they formerly were in the history of chemical advance. in trying to explain davy's electro-chemical theory i have applied the word _affinity_ to the mutual action and reaction between two substances which combine together to form a chemical compound. it is now necessary that we should look a little more closely into the history of this word _affinity_. oil and water do not mix together, but oil and potash solution do; the former may be said not to have, and the latter to have, an affinity one for the other. when sulphur is heated, the yellow odourless solid, seizing upon oxygen in the air, combines with it to produce a colourless strongly smelling gas. sulphur and oxygen are said to have strong affinity for each other. if equal weights of lime and magnesia be thrown into diluted nitric acid, after a time it is found that some of the lime, but very little of the magnesia, is dissolved. if an aqueous solution of lime be added to a solution of magnesia in nitric acid, the magnesia is precipitated in the form of an insoluble powder, while the lime remains dissolved in the acid. it is said that lime has a stronger affinity for nitric acid than magnesia has. such reactions as these used to be cited as examples of _single elective affinity_--single, because one substance combined with one other, and elective, because a substance seemed to choose between two others presented to it, and to combine with one to the exclusion of the other. but if a neutral solution of magnesia in sulphuric acid is added to a neutral solution of lime in nitric acid, sulphate of lime and nitrate of magnesia are produced. the lime, it was said, leaves the nitric and goes to the sulphuric acid, which, having been deserted by the magnesia, is ready to receive it; at the same time the nitric acid from which the lime has departed combines with the magnesia formerly held by the sulphuric acid. such a reaction was said to be an instance of _double affinities_. the chemical changes were caused, it was said, by the simultaneous affinity of lime for sulphuric acid, which was greater than its affinity for nitric acid, and the affinity of magnesia for nitric acid, which was greater than its affinity for sulphuric acid. if a number of salts were mixed, each base--supposing the foregoing statements to be correct--would form a compound with that acid for which it had the greatest affinity. it should then be possible to draw up tables of affinity. such tables were indeed prepared. here is an example:-- _sulphuric acid._ baryta. lime. strontia. ammonia. potash. magnesia. soda. this table tells us that the affinity of baryta for sulphuric acid is greater than that of strontia for the same acid, that of strontia greater than that of potash, and so on. it also tells that potash will decompose a compound of sulphuric acid and soda, just as soda will decompose a compound of the same acid with lime, or strontia will decompose a compound with potash, etc. but berthollet showed in the early years of this century that a large quantity of a body having a weak affinity for another will suffice to decompose a small quantity of a compound of this other with a third body for which it has a strong affinity. he showed, that is, that the formation or non-formation of a compound is dependent not only on the so-called affinities between the constituents, but also on the relative quantities of these constituents. berthollet and other chemists also showed that affinity is much conditioned by temperature; that is, that two substances which show no tendency towards chemical union at a low temperature may combine when the temperature is raised. he, and they, also proved that the formation or non-formation of a compound is much influenced by its physical properties. thus, if two substances are mixed in solution, and if by their mutual action a substance can be produced which is insoluble in the liquids present, that substance is generally produced whether the affinity between the original pair of substances be strong or weak. the outcome of berthollet's work was that tables of affinity became almost valueless. to say that the affinity of this body for that was greater than its affinity for a third body was going beyond the facts, because the formation of this or that compound depended on many conditions much more complex than those connoted by the term "affinity." yet the conception of affinity remained, although it could not be applied in so rigorous a way as had been done by the earlier chemists. if an element, a, readily combines with another element, b, under certain physical conditions, but does not, under the same conditions, combine with a third element, c, it may still be said that a and b have, and a and c have not, an affinity for each other. this general conception of affinity was applied by berzelius to the atoms of elements. affinity, said berzelius, acts between unlike atoms, and causes them to unite to form a compound atom, unlike either of the original atoms; cohesion, on the other hand, acts between like atoms, causing them to hold together without producing any change in their properties. affinity varies in different elements. thus the affinity of gold for oxygen is very small; hence it is that gold is found in the earth in the metallic state, while iron, having a great affinity for oxygen, soon rusts when exposed to air, or when buried in the earth. potassium and sodium have great affinities for oxygen, chlorine, etc.; yet the atoms of potassium and sodium do not themselves combine. the more any elements are alike chemically the smaller is their affinity for each other; the more any elements are chemically unlike the greater is their mutual affinity; but this affinity is modified by circumstances. thus, said berzelius, if equal numbers of atoms of a and b, having equal or nearly equal affinity for c, mutually react, compound atoms, ac and bc, will be produced, but atoms of a and b will remain. the amounts of ac and bc produced will be influenced by the greater or less affinity of a and b for c; but if there be a greater number of a than of b atoms, a greater amount of ac than of bc will be produced. in these cases all the reacting substances and the products of the actions are supposed to be liquids; but bc, if a solid substance, will be produced even if the affinity of a for c is greater than that of b for c. in some elements, berzelius taught, affinity slumbers, and can be awakened only by raising the temperature. thus carbon in the form of coal has no affinity for oxygen at ordinary temperatures; it has remained for ages in the earth without undergoing oxidation; but when coal is heated the affinities of carbon are awakened, combination with oxygen occurs, and heat is produced. but why is it that certain elementary atoms exhibit affinity for certain others? it depends, said berzelius, on the electrical states of these atoms. according to the berzelian theory, every elementary atom has attached to it a certain quantity of electricity, part of which is positive and part negative. this electricity is accumulated at two points on each atom, called respectively the positive pole and the negative pole; but in each atom one of these electricities so much preponderates over the other as to give the whole atom the character of either a positively or a negatively electrified body. when two atoms combine chemically the positive electricity in one neutralizes the negative electricity in the other. as we know that similar electricities repel, and opposite electricities attract each other, it follows that a markedly positive atom will exhibit strong affinity for a markedly negative atom, less strong affinity for a feebly negative, and little or no affinity for a positively electrified atom; but two similarly electrified atoms may exhibit affinity, because in every positive atom there is some negative electricity, as in every negative atom there is some positive electricity. thus, in the atoms of copper and zinc positive electricity predominates, said berzelius, but the zinc atoms are more positive than those of copper; hence, when the metals are brought into contact the negative electricity of the copper atoms is attracted and neutralized by the positive electricity of the zinc atoms, combination takes place, and the compound atom is still characterized by a predominance of positive electricity. hence berzelius identified "electrical polarity" with chemical affinity. every atom was regarded by him as _both_ positively _and_ negatively electrified; but as one of these electricities was always much stronger than the other, every atom regarded as a whole appeared to be _either_ positively _or_ negatively electrified. positive atoms showed affinity for negative atoms, and _vice versâ_. as a positive atom might become more positive by increasing the temperature of the atom, so might the affinity of this atom for that be more marked at high than at low temperatures. now, if two elementary atoms unite, the compound atom must--according to the berzelian views--be characterized either by positive or negative electricity. this compound atom, if positive, will exhibit affinity for other compound atoms in which negative electricity predominates; if negative, it will exhibit affinity for other positively electrified compound atoms. if two compound atoms unite chemically, the complex atom so produced will, again, be characterized by one or other of the two electricities, and as it is positive or negative, so will it exhibit affinity for positively or negatively electrified complex atoms. thus berzelius and his followers regarded every compound atom, however complex, as essentially built up of two parts, one of which was positively and the other negatively electrified, and which were held together chemically by virtue of the mutual attractions of these electricities; they regarded every compound atom as a _dual_ structure. the classification adopted by berzelius was essentially a dualistic classification. his system has always been known in chemistry as _dualism_. berzelius divided compound atoms (we should now say molecules) into three groups or orders-- _compound atoms of the first order_, formed by the immediate combination of atoms of two, or in organic compounds of three, elementary substances. _compound atoms of the second order_, formed by the combination of atoms of an element with atoms of the first order, or by the combination of two or more atoms of the first order. _compound atoms of the third order_, formed by combination of two or more atoms of the second order. when an atom of the third order was decomposed by an electric current, it split up, according to the berzelian teaching, into atoms of the second order--some positively, others negatively electrified. when an atom of the second order was submitted to electrolysis, it decomposed into atoms of the first order--some positively, others negatively electrified. berzelius said that a base is an electro-positive oxide, and an acid is an electro-negative oxide. the more markedly positive an oxide is, the more basic it is; the more negative it is, the more is it characterized by acid properties. one outcome of this teaching regarding acids and bases was to overthrow the lavoisierian conception of oxygen as the acidifying element. some oxides are positive, others negative, said berzelius; but acids are characterized by negative electricity, therefore the presence of oxygen in a compound does not always confer on that compound acid properties. we have already seen that silica was regarded by most chemists as a typical earth; but berzelius found that in the electrolysis of compounds of silica, this substance appeared at the positive pole of the battery--that is, the atom of silica belonged to the negatively electrified order of atoms. silica was almost certainly an oxide; but electro-negative oxides are, as a class, acids; therefore silica was probably an acid. the supposition of the acid character of silica was amply confirmed by the mineralogical analyses and experiments of berzelius. he showed that most of the earthy minerals are compounds of silica with electro-positive metallic oxides, and that silica plays the part of an acid in these minerals; and in he obtained the element silicon, the oxide of which is silica. on this basis berzelius reared a system of classification in mineralogy which much aided the advance of that branch of natural science. by the work of berzelius and davy the lavoisierian conception of acid has now been much modified and extended; it has been rendered less rigid, and is therefore more likely than before to be a guide to fresh discoveries. the older view of acid and alkali was based, for the most part, on a qualitative study of the reactions of chemical substances: bodies were placed in the same class because they were all sour, or all turned vegetable blues to red, etc. this was followed by a closer study of the composition of substances, and by attempts to connect the properties of these substances with their composition; but when this attempt resulted in the promulgation of the dictum that "oxygen is the acidifying principle," it began to be perceived that a larger basis of fact must be laid before just conclusions could be drawn as to the connections between properties and composition of substances. this larger basis was laid by the two chemists whose work we have now reviewed. of the life of one of these men i have already given such a sketch as i can from the materials available to me; of the life of the other we happily possess ample knowledge. let us now consider the main features of this life. * * * * * humphry davy, the eldest son of robert and grace davy, was born at penzance, in cornwall, on december , , eight months that is before the birth of berzelius. his parents resided on a small property which had belonged to their ancestors for several generations. surrounded by many kind friends by whom he was much thought of, the boy appears to have passed a very happy childhood. even at the age of five his quickness and penetration were marked by those around him, and at school these continued to be his predominant characteristics. nurtured from his infancy in the midst of beautiful and romantic scenery, and endowed with great observing power and a lively imagination, young davy seemed destined to be one of those from whose lips is "poured the deathless singing;" all through life he was characterized by a strongly marked poetic temperament. humphry davy was held in much esteem by his school friends as a composer of valentines and love letters, as a daring and entertaining teller of stories, and as a successful fireworks manufacturer. such a combination of qualities would much endear him to his boy-companions. we are told that at the age of eight he used to mount on an empty cart, around which a circle of boys would collect to be entertained by the wonderful tales of the youthful narrator. finishing his school education at the age of fifteen, he now began his own education of himself. in he was apprenticed to a surgeon and apothecary (afterwards a physician), in penzance, with whom he learned the elements of medical science; but his time during the years which he spent under mr. borlase was much occupied in shooting, fishing, searching for minerals and geological specimens, composing poetry, and pursuing metaphysical speculations. he was now, as through life, an enthusiastic lover of nature; his mind was extremely active, ranging over the most diverse subjects; he was full of imagination, and seemed certain to distinguish himself in any pursuit to which he should turn his attention. during the next three or four years davy indulged freely in speculations in all manner of subjects; he started, as people generally do when young, from general principles and followed these out to many conclusions. even in his study of physiology and other branches of science, he appears at this time to have adopted the speculative rather than the experimental method; but unlike most youthful metaphysicians he was ready to give up an opinion whenever it appeared to him incorrect. by the time he reached the age of twenty he had discarded this method of seeking for truth, and was ever afterwards distinguished by his careful working out of facts as the foundation for all his brilliant theories. davy appears to have begun the study of chemistry about by reading lavoisier's "elements of chemistry," the teachings of which he freely criticized. about this time mr. gregory watt came to live at penzance as a lodger with davy's mother, and with him the young philosopher had much talk on chemical and other scientific subjects. he also became acquainted with mr. davies gilbert--who was destined to succeed davy as president of the royal society--and from him he borrowed books and received assistance of various kinds in his studies. it was during these years that davy made experiments on heat, which were published some years later, and which are now regarded as laying the foundations of the modern theory according to which heat is due to the motions of the small parts of bodies. he arranged two brass plates so that one should carry a block of ice which might be caused to revolve in contact with the other plate; the plates were covered by a glass jar, from which he exhausted the air by means of a simple syringe of his own contrivance; the machine being placed on blocks of ice the plates were caused to revolve. the ice inside the jar soon melted; davy concluded that the heat required to melt this ice could only be produced by the friction of the ice and brass, and that therefore heat could not be any form of ponderable matter. in the year davy was asked to go to bristol as superintendent of the laboratory of a new pneumatic institution started by dr. beddoes for the application of gases to the treatment of diseases. davy had corresponded with beddoes before this time regarding his experiments on heat, and the latter seems to have been struck with his great abilities and to have been anxious to secure him as experimenter for his institution. davy was released from his engagements with mr. borlase, and, now about twenty years of age, set out for his new home, having made as he says all the experiments he could at penzance, and eagerly looking forward to the better appliances and incitements to research which he hoped to find at bristol. the pneumatic institution was supported by subscriptions, for the most part from scientific men. it was started on a scientific basis. researches were to be made on gases of various kinds with the view of applying these as remedies in the alleviation of disease. an hospital for patients, a laboratory for experimental research, and a lecture theatre were provided. at this time many men of literary and intellectual eminence resided in bristol; among these were coleridge and southey. most of these men were visitors at the house of dr. beddoes, and many distinguished men came from various parts of the county to visit the institution. davy thus entered on a sphere of labour eminently suited for the development of his genius. with ample mechanical appliances for research, with plenty of time at his disposal, surrounded by an atmosphere of inquiry and by men who would welcome any additions he could make to the knowledge of nature, and being at the same time not without poetic and imaginative surroundings, by which he was ever spurred onwards in the pursuit of truth--placed in these circumstances, such an enthusiastic and diligent student of science as davy could not but obtain results of value to his fellows. the state of chemical science at this time was evidently such as to incite the youthful worker. the chains with which stahl and his successors had so long bound the limbs of the young science had been broken by lavoisier; and although the french school of chemistry was at this time dominant, and not disinclined to treat as ignorant any persons who might differ from its teaching, yet there was plenty of life in the cultivators of chemistry. the controversy between berthollet and proust was about to begin; the lavoisierian views regarding acids and salts were not altogether accepted by gay-lussac, thenard and others; and from the laboratory of berzelius there was soon to issue the first of those numerous researches which drew the attention of every chemist to the capital of sweden. the voltaic battery had been discovered, and had opened up a region of possibilities in chemistry. davy began his researches at the institution by experiments with nitrous oxide, a gas supposed by some people at that time to be capable of producing most harmful effects on the animal system. he had to make many experiments before he found a method for preparing the pure gas, and in the course of these experiments he added much to the stock of chemical knowledge regarding the compounds of nitrogen and oxygen. having obtained fairly pure nitrous oxide, he breathed it from a silk bag; he experienced a "sensation analogous to gentle pressure on all the muscles;... the objects around me became dazzling and my hearing more acute;... at last an irresistible propensity to action was indulged in.... i recollect but indistinctly what followed; i know that my motions were various and violent." southey and coleridge breathed the gas; the poets only laughed a little. encouraged by the results of these experiments, davy proceeded to prepare and breathe nitric oxide--whereby he was rendered very ill--and then carburetted hydrogen--which nearly killed him. in his chemical note-book about this time, davy says, "the perfection of chemical philosophy, or the laws of corpuscular motion, must depend on the knowledge of all the simple substances, their mutual attractions, and the ratio in which the attractions increase or diminish with increase or diminution of temperature.... the first step towards these laws will be the decomposition of those bodies which are at present undecompounded." and in the same note-book he suggests methods which he thinks might effect the decomposition of muriatic and boric acids, the alkalis and earths. here are the germs of his future work. after about eight months' work at bristol he published a volume of "researches," which contained a great many new facts, and was characterized by vigour and novelty of conception. these researches had been carried out with intense application; each was struck off at a red heat. his mind during this time was filled with vast scientific conceptions, and he began also to think of fame. "an active mind, a deep ideal feeling of good, and a look towards future greatness," he tells us, sustained him. count rumford, the founder of the royal institution in london, was anxious to obtain a lecturer on chemistry for the institution. davy was strongly recommended, and after a little arrangement--concerning which davy says in a letter, "i will accept of no appointment except on the sacred terms of independence"--he was appointed assistant lecturer on chemistry and director of the laboratory. about a year later his official designation was changed to professor of chemistry. this appointment opened up a great sphere of research; "the sole and uncontrolled use of the apparatus of the institution for private experiments" was to be granted him, and he was promised "any apparatus he might need for new experiments." he had now the command of a good laboratory; he had not to undergo the drudgery of systematic teaching, but was only required to give lectures to a general audience. before leaving bristol he had commenced experiments on the chemical applications of the voltaic battery; these he at once followed up with the better apparatus now at his command. the results of this research, and his subsequent work on the alkalis and on muriatic acid and chlorine, have been already described. the circumstances of davy's life had hitherto been most favourable; how nobly he had availed himself of these circumstances was testified by the work done by him. his first lecture was delivered in the spring of , and at once he became famous. a friend of davy says, "the sensation created by his first course of lectures at the institution, and the enthusiastic admiration which they obtained, is scarcely to be imagined. men of the first rank and talent, the literary and the scientific, the practical and the theoretical, blue-stockings and women of fashion, the old and the young--all crowded, eagerly crowded the lecture-room. his youth, his simplicity, his natural eloquence, his chemical knowledge, his happy illustrations and well-conducted experiments, excited universal attention and unbounded applause. compliments, invitations and presents were showered upon him in abundance from all quarters; his society was courted by all, and all appeared proud of his acquaintance." one of his biographers says of these lectures, "he was always in earnest, and when he amused most, amusement appeared most foreign to his object. his great and first object was to instruct, and in conjunction with this, maintain the importance and dignity of science; indeed, the latter, and the kindling a taste for scientific pursuits, might rather be considered his main object, and the conveying instruction a secondary one." the greatest pains were taken by davy in the composition and rehearsal of his lectures, and in the arrangement of experiments, that everything should tend towards the enlightenment of his audience. surrounded by a brilliant society, invited to every fashionable entertainment, flattered by admirers, tempted by hopes of making money, davy remained a faithful and enthusiastic student of nature. "i am a lover of nature," he writes at this time to a friend, "with an ungratified imagination. i shall continue to search for untasted charms, for hidden beauties. my _real_, my _waking_ existence, is amongst the objects of scientific research. common amusements and enjoyments are necessary to me only as dreams to interrupt the flow of thoughts too nearly analogous to enlighten and vivify." during these years (_i.e._ from to ) he worked for the greater part of each day in the laboratory. every week, almost every day, saw some fresh discovery of importance. he advanced from discovery to discovery. his work was characterized by that vast industry and extreme rapidity which belong only to the efforts of genius. never, before or since, has chemical science made such strides in this country. in davy was elected a fellow, and in one of the secretaries of the royal society. in he retired from the professorship of chemistry at the royal institution; in the same year he was made a knight. the next two or three years were mostly spent in travelling abroad with his wife--he had married a widow lady, mrs. apreece, in . during his visit to paris he made several experiments on the then recently discovered iodine, and proved this substance to be an element. the work which davy had accomplished in the seventeen years that had now elapsed since he began the study of chemistry, whether we consider it simply as a contribution to chemical science, or in the light of the influence it exerted on the researches of others, was of first-rate importance; but a fresh field now began to open before him, from which he was destined to reap the richest fruits. in the autumn of his attention was drawn to the subject of fire-damp in coal-mines. as he passed through newcastle, on his return from a holiday spent in the scottish highlands, he examined various coal-mines and collected samples of fire-damp; in december of the same year his _safety-lamp_ was perfected, and soon after this it was in the hands of the miner. the steps in the discovery of this valuable instrument were briefly these. davy established the fact that fire-damp is a compound of carbon and hydrogen; he found that this gas must be mixed with a large quantity of ordinary air before the mixture becomes explosive, that the temperature at which this explosion occurs is a high one, and that but little heat is produced during the explosion; he found that the explosive mixture could not be fired in narrow metallic tubes, and also that it was rendered non-explosive by addition of carbonic acid or nitrogen. he reasoned on these facts thus: "it occurred to me, as a _considerable_ heat was required for the inflammation of the fire-damp, and as it produced in burning a comparatively _small degree_ of heat, that the effect of carbonic acid and azote, and of the surfaces of small tubes, in preventing its explosion, depended on their cooling powers--upon their lowering the temperature of the exploding mixture so much that it was no longer sufficient for its continuous inflammation." he at once set about constructing a lamp in which it should be impossible for the temperature of ignition of a mixture of fire-damp and air to be attained, and which therefore, while burning, might be filled with this mixture without any danger of an explosion. he surrounded the flame of an oil-lamp with a cylinder of fine wire-gauze; this lamp when brought into an atmosphere containing fire-damp and air could not cause an explosion, because although small explosions might occur in the interior of the wire cylinder, so much heat was conducted away by the large metallic surface that the temperature of the explosive atmosphere outside the lamp could not attain that point at which explosion would occur. in sir humphry davy was made a baronet, in recognition of his great services as the inventor of the safety-lamp; and in he was elected to the most honourable position which can be held by a man of science in this country, he became the president of the royal society. for seven years he was annually re-elected president, and during that time he was the central figure in the scientific society of england. during these years he continued his investigations chiefly on electro-chemical subjects and on various branches of applied science. in his health began to fail. an attack of paralysis in that year obliged him to relinquish most of his work. he went abroad and travelled in italy and the tyrol, sometimes strong enough to shoot or fish a little, or even to carry on electrical experiments; sometimes confined to his room, or to gentle exercise only. he resigned the presidentship of the royal society in . in he visited rome, where he was again attacked by paralysis, and thought himself dying, but he recovered sufficiently to attempt the journey homeward. at geneva he became very ill, and expired in that city on the th of may . during these later years of illness and suffering, his intense love of and delight in nature were very apparent; he returned again to the simple tastes and pleasures of his early days. his intimate knowledge of natural appearances and of the sights and sounds of country life is conspicuous in the "salmonia, or days of fly-fishing," written during his later years. sir humphry davy was emphatically a genius. he was full of eager desire to know the secrets of the world in which he lived; he looked around him with wonder and delight, ever conscious of the vastness of the appearances which met his gaze; an exuberance of life and energy marked his actions; difficulties were encountered by him only to be overcome; he was depressed by no misfortunes, deterred by no obstacles, led aside from his object by no temptations, and held in bondage by no false analogies. his work must ever remain as a model to the student of science. a thorough and careful foundation of fact is laid; on this, hypotheses are raised, to be tested first by reasoning and argument, then by the tests of the laboratory, which alone are final. analogies are seized; hints are eagerly taken up, examined, and acted on or dismissed. as he works in the laboratory, we see his mind ranging over the whole field of chemical knowledge, finding a solution of a difficulty here, or guessing at a solution there; combining apparently most diverse facts; examining phenomena which appear to have no connection; never dwelling too long on an hypothesis which cannot yield some clue to the object of research, but quickly discovering the road which will lead to the wished-for solution. like so many great experimenters davy accomplished wonders with little apparatus. when he went abroad for the first time he took with him two small boxes, one twenty, and the other twelve inches long, by about seven inches wide and four deep. with the apparatus contained in these boxes he established the elementary nature of iodine, and made a rough estimation of its atomic weight; he determined many of its analogies with chlorine, proving that, like chlorine, it is markedly electro-negative, and that its compounds are decomposed by chlorine; he accomplished the synthesis of hydriodic acid, and approximately determined the composition of iodide of nitrogen. but when it was necessary to employ delicate or powerful apparatus, he was able by the use of that also to obtain results of primary importance. the decomposition of potash, soda, baryta, lime and strontia could not have been effected had he not had at his command the resources of a well-furnished laboratory. davy has had no successor in england. much useful and some brilliant work has been done by english chemists since his day, but we still look back to the first quarter of the century as the golden age of chemistry in this country. on the roll wherein are written the names of england's greatest sons, there is inscribed but a single chemist--humphry davy. * * * * * i carried on the account of the work of davy's great contemporary, berzelius, to the time when he had fairly established dualistic views of the structure of chemical compounds, and when, by the application of a few simple rules regarding the combinations of elementary atoms, he had largely extended the bounds of the atomic theory of dalton. berzelius also did important work in the domain of organic chemistry. by numerous analyses of compounds of animal and vegetable origin, he clearly established the fact that the same laws of combination, the same fixity of composition, and the same general features of atomic structure prevail among the so-called organic as among the inorganic compounds. in doing this he broke down the artificial barrier which had been raised between the two branches of the science, and so prepared the way for modern chemistry, which has won its chief triumphs in the examination of organic compounds. by the many and great improvements which he introduced into analytical chemistry, and by the publication of his "textbook of chemistry," which went through several editions in french and german, and also of his yearly report on the advance of chemistry, berzelius exerted a great influence on the progress of his favourite science. wöhler tells us that when the spring of the year came, at which time his annual report had to be prepared, berzelius shut himself up in his study, surrounded himself with books, and did not stir from the writing-table until the work was done. in his later days berzelius was much engaged in controversy with the leaders of the new school, the rise and progress of which will be traced in the next chapter, but throughout this controversy he found time to add many fresh facts to those already known. he continued his researches until his death in . the work of the great swedish chemist is characterized by thoroughness in all its parts: to him every fact appeared to be of importance; although now perhaps only an isolated fact, he saw that some day it would find a place in a general scheme of classification. he worked in great measure on the lines laid down by dalton and davy; the enormous number and accuracy of his analyses established the law of multiple proportions on a sure basis, and his attempts to determine the constitution of compound atoms, while advancing the atomic theory of dalton, drew attention to the all-important distinction between atom and molecule, and so prepared chemists for the acceptance of the generalization of avogadro. the electro-chemical conceptions of davy were modified by berzelius; they were shorn of something of their elasticity, but were rendered more suited to be the basis of a rigid theory. * * * * * at the close of this transition period from the lavoisierian to the modern chemistry, we find analytical chemistry established as an art; we find the atomic theory generally accepted, but we notice the existence of much confusion which has arisen from the non-acceptance of the distinction made by avogadro between atom and molecule; we find the analogies between chemical affinity and electrical energy made the basis of a system of classification which regards every compound atom (or molecule) as built up of two parts, in one of which positive, and in the other negative electricity predominates; and accompanying this system of classification we find that an acid is no longer regarded as necessarily an oxygen compound, but rather as a compound possessed of certain properties which are probably due to the arrangement of the elementary atoms, among which hydrogen appears generally to find a place; we find that salts are for the most part regarded as metallic derivatives of acids; and we find that by the decomposition of the supposed elementary substances, potash, soda, lime, etc., the number of the elements has been extended, the application of a new instrument of research has been brilliantly rewarded, and the lavoisierian description of "element" as the "attained, not the attainable, limit of research" has been emphasized. footnotes: [ ] the history and meaning of these terms is considered on p. , _et seq._ [ ] for an explanation of this expression, "chemical affinity," see p. , _et seq._ [ ] these views have been already explained on pp. , . chapter v. the work of graham. _thomas graham_, - . the work of graham, concerned as it mostly was with the development of the conception of atoms, connects the time of dalton with that in which we are now living. i have therefore judged it advisable to devote a short chapter to a consideration of the life-work of this chemist, before proceeding to the third period of chemical advance, that, namely, which witnessed the development of organic chemistry through the labours of men who were graham's contemporaries. the printed materials which exist for framing the story of graham's life are very meagre, but as he appears, from the accounts of his friends, to have devoted himself entirely to scientific researches, we cannot go far wrong in regarding the history of his various discoveries as also the history of his life. * * * * * thomas graham was born in glasgow, on december , . his father, james graham, a successful manufacturer, was in a position to give his son a good education. after some years spent in the ordinary school training, graham entered glasgow university at the early age of fourteen, and graduated as m. a. five years later. it was the intention of graham's father that his son should enter the scottish church; but under the teaching of dr. thomas thomson and others the lad imbibed so strong a love of natural science, that rather than relinquish the pursuit of his favourite study, he determined to be independent of his father and make a living for himself. his father was much annoyed at the determination of his son to pursue science, and vainly attempted to force him into the clerical profession. the quarrel between father and son increased in bitterness, and notwithstanding the intervention of friends the father refused to make his son any allowance for his maintenance; and although many years after a reconcilement was effected, yet at the time when graham most needed his father's help he was left to struggle alone. graham went to edinburgh, where he pursued his studies under hope and leslie, professors of chemistry and physics respectively--men whose names were famous wherever natural science was studied. graham's mother, for whom he had always the greatest respect and warmest love, and his sister margaret helped him as best they could during this trying time. the young student found some literary occupation and a little teaching in edinburgh, and sometimes he was asked to make investigations in subjects connected with applied chemistry. thus he struggled on for four or five years, during which time he began to publish papers on chemico-physical subjects. in the year he was appointed lecturer on chemistry at the mechanics' institution in glasgow, and next year he was removed to the more important position of lecturer on the same science at the andersonian institution in that city. this position he occupied for seven years, when he was elected professor of chemistry in the university of london (now university college): he had been elected to the fellowship of the royal society in the preceding year. during his stay at the andersonian institution graham had established his fame as a physical chemist; he had begun his work on acids and salts, and had established the fundamental facts concerning gaseous diffusion. these researches he continued in london, and from to he enriched chemical science with a series of papers concerned for the most part with attempts to trace the movements of the atoms of matter. in graham succeeded sir john herschel in the important and honourable position of master of the mint. for some years after his appointment he was much engaged with the duties of his office, but about he again returned to his atomic studies, and in his papers on "transpiration of liquids" and on "dialysis" he did much in the application of physical methods to solve chemical problems, and opened up new paths, by travelling on which his successors greatly advanced the limits of the science of chemistry. graham was almost always at work; his holidays were "few and far between." by the year or so his general health began to grow feeble; in the autumn of , during a visit to malvern where he sought repose and invigorating air, he caught cold, which developed into inflammation of the lungs. on his return to london the disease was overcome by medical remedies, but he continued very weak, and gradually sank, till the end came on the th of september . i have said that the seven years during which graham held the lectureship on chemistry in the andersonian institution, glasgow, witnessed the beginning alike of his work on salts and of that on gaseous diffusion. he showed that there exists a series of compounds of various salts, _e.g._ chloride of calcium, chloride of zinc, etc., with alcohol. he compared the alcohol in these salts, which he called _alcoates_, to the water in ordinary crystallized salts, and thus drew the attention of chemists to the important part played by water in determining the properties of many substances. three years later ( ) appeared one of his most important papers, bearing on the general conception of acids: "researches on the arseniates, phosphates, and modifications of phosphoric acid." chemists at this time knew that phosphoric acid--that is, the substance obtained by adding water to pentoxide of phosphorus--exhibited many peculiarities, but they were for the most part content to leave these unexplained. graham, following up the analogy which he had already established between water and bases, prepared and carefully determined the composition of a series of phosphates, and concluded that pentoxide of phosphorus is able to combine with a base--say soda--in three different proportions, and thus to produce three different phosphates of soda. but as graham accepted that view which regards a salt as a metallic derivative of an acid, he supposed that three different phosphoric acids ought to exist; these acids he found in the substances produced by the action of water on the oxide of phosphorus. he showed that just as the oxide combines with a base in three proportions, so does it combine with water in three proportions. this water he regarded as chemically analogous to the base in the three salts, one atom (we should now rather say molecule) of base could be replaced by one atom of water, two atoms of base by two atoms of water, or three atoms of base by three atoms of water. phosphoric acid was therefore regarded by graham as a compound of pentoxide of phosphorus and water, the latter being as essentially a part of the acid as the former. he distinguished between _monobasic_, _dibasic_, and _tribasic_ phosphoric acids: by the action of a base on the _monobasic acid_, one, and only one salt was produced; the _dibasic acid_ could furnish two salts, containing different proportions (or a different number of atoms) of the same base: and from the _tribasic acid_ three salts, containing the same base but in different proportions, could be obtained. davy's view of an acid as a compound of water with a negative oxide was thus confirmed, and there was added to chemical science the conception of _acids of different basicity_. in graham's paper on "water as a constituent of salts" was published in the "transactions of the royal society of edinburgh." in this paper he inquires whether the water in crystalline salts can or cannot be removed without destroying the chemical individuality of the salts. he finds that in some crystalline salts part of the water can be easily removed by the application of heat, but the remainder only at very high temperatures. he distinguishes between those atoms of water which essentially belong to the compound atom of the salt, and those atoms which can be readily removed therefrom, which are as it were added on to, or built up around the exterior of the atom of salt. in this paper graham began to distinguish what is now called _water of crystallization_ from _water of constitution_, a distinction pointed to by some of davy's researches, but a distinction which has remained too much a mere matter of nomenclature since the days of graham. in these researches graham emphasized the necessity of the presence of hydrogen in all true acids; as he had drawn an analogy between water and bases, so now he saw in the hydrogen of acids the analogue of the metal of salts. he regarded the structure of the compound atom of an acid as similar to that of the compound atom of a salt; the hydrogen atom, or atoms, in the acid was replaced by a metallic atom, or atoms, and so a compound atom of the salt was produced. davy and berzelius had proved that hydrogen is markedly electro-positive; hydrogen appeared to graham to belong to the class of metals. in making this bold hypothesis graham necessarily paid little heed to those properties of metals which appeal to the senses of the observer. metals, as a class, are lustrous, heavy, malleable substances; hydrogen is a colourless, inodourless, invisible, very light gas: how then can hydrogen be said to be metallic? i have again and again insisted on the need of imagination for the successful study of natural science. although in science we deal with phenomena which we wish to measure and weigh and record in definite and precise language, yet he only is the successful student of science who can penetrate beneath the surface of things, who can form mental pictures different from those which appear before his bodily eye, and so can discern the intricate and apparently irregular analogies which explain the phenomena he is set to study. graham was not as far as we can learn endowed, like davy, with the sensitive nature of a poet, yet his work on hydrogen proves him to have possessed a large share of the gift of imagination. picturing to himself the hydrogen atom as essentially similar in its chemical functions to the atom of a metal, he tracked this light invisible gas through many tortuous courses: he showed how it is absorbed and retained (_occluded_ as he said) by many metals; he found it in meteors which had come from far-away regions of space; and at last, the year before he died he prepared an alloy of palladium and the metal hydrogen, from which a few medals were struck, bearing the legend "palladium-hydrogenium ." within the last few years hydrogen has been liquified and, it is said, solidified. solid hydrogen is described as a steel-grey substance which fell upon the table with a sound like the ring of a metal. but graham's most important work was concerned with the motion of the ultimate particles of bodies. he uses the word "atom" pretty much as dalton did. he does not make a distinction between the atom of an element and the atom of a compound, but apparently uses the term as a convenient one to express the smallest undivided particle of any chemical substance which exhibits the properties of that substance. as graham was chiefly concerned with the physical properties of chemical substances, or with those properties which are studied alike by chemistry and physics, the distinction between atom and molecule, so all-important in pure chemistry, might be, and to a great extent was, overlooked by him. in considering his work we shall however do well to use the terms "atom" and "molecule" in the sense in which they are now always used in chemistry, a sense which has been already discussed (see pp. - ). many years before graham began his work a curious fact had been recorded but not explained. in döbereiner filled a glass jar with hydrogen and allowed the jar to stand over water: on returning after twelve hours he found that the water had risen about an inch and a half into the jar. close examination of the jar showed the presence of a small crack in the glass. many jars, tubes and flasks, all with small cracks in the glass, were filled with hydrogen and allowed to stand over water; in every case the water rose in the vessel. no rise of the water was however noticeable if the vessels were filled with ordinary air, nitrogen or oxygen. in graham began the investigation of the peculiar phenomenon observed by döbereiner. repeating döbereiner's experiments, graham found that a portion of the hydrogen in the cracked vessels passed outwards through the small fissures, and a little air passed inwards: the water therefore rose in the jar, tube or flask, because there was a greater pressure on the surface of the water outside than upon that inside the vessel. any gas lighter than air behaved like hydrogen; when gases heavier than air were employed the level of the water inside the vessel was slightly lowered after some hours. graham found that the passage of gases through minute openings could be much more accurately studied by placing the gas to be examined in a glass tube one end of which was closed by a plug of dry plaster of paris, than by using vessels with small fissures in the glass. the _diffusion-tube_ used by graham generally consisted of a piece of glass tubing, graduated in fractions of a cubic inch and having a bulb blown near one end; the short end was closed by a thin plug of dry plaster of paris (gypsum), the tube was filled with the gas to be examined, and the open end was immediately immersed in water. the water was allowed to rise until it had attained a constant level, when it was found that the whole of the gas originally in the tube had passed outwards through the porous plug, and air had passed inwards. the volume of gas originally in the tube being known, and the volume of air in the tube at the close of the experiment being measured, it was only necessary to divide the former by the latter number in order to obtain the number of volumes of gas which had passed outwards for each one volume of air which had passed inwards; in other words to obtain the _rate of diffusion_ compared with air of the gas under examination. graham's results were gathered together in the statement, "the diffusion-rates of any two gases are inversely as the square roots of their densities." thus, take oxygen and hydrogen: oxygen is sixteen times heavier than hydrogen, therefore hydrogen diffuses four times more rapidly than oxygen. take hydrogen and air: the specific gravity of hydrogen is · , air being ; the square root of · is · , therefore hydrogen will diffuse more rapidly than air in the ratio of · : . in the years - graham resumed this inquiry; he now distinguished between _diffusion_, or the passage of gases through porous plates, and _transpiration_, or the passage of gases through capillary tubes. he showed that if a sufficiently large capillary tube be employed the rate of transpiration of a gas becomes constant, but that it is altogether different from the rate of diffusion of the same gas. he established the fact that there is a connection of some kind between the transpiration-rates and the chemical composition of gases, and in doing this he opened up a field of inquiry by cultivating which many important results have been gained within the last few years, and which is surely destined to yield more valuable fruit in the future. returning to the diffusion of gases, graham, after nearly thirty years' more or less constant labour, begins to speculate a little on the causes of the phenomena he had so studiously and perseveringly been examining. in his paper on "the molecular mobility of gases," read to the royal society in , after describing a new diffusion-tube wherein thin plates of artificial graphite were used in place of plaster of paris, graham says, "the pores of artificial graphite appear to be really so minute that a gas _in mass_ cannot penetrate the plate at all. it seems that molecules only can pass; and they may be supposed to pass wholly unimpeded by friction, for the smallest pores that can be imagined to exist in the graphite must be tunnels in magnitude to the ultimate atom of a gaseous body." he then shortly describes the molecular theory of matter, and shows how this theory--a sketch of which so far as it concerns us in this book has been given on pp. - --explains the results which he has obtained. when a gas passed through a porous plate into a vacuum, or when one gas passed in one direction and another in the opposite direction through the same plate, graham saw the molecules of each gas rushing through the "tunnels" of graphite or stucco. the average rate at which the molecules of a gas rushed along was the diffusion-rate of that gas. the lighter the gas the more rapid was the motion of its molecules. if a mixture of two gases, one much lighter than the other, were allowed to flow through a porous plate, the lighter gas would pass so much more quickly than the heavier gas that a partial separation of the two might probably be effected. graham accomplished such a separation of oxygen and hydrogen, and of oxygen and nitrogen; and he described a simple instrument whereby this process of _atmolysis_, as he called it, might be effected. graham's _tube atmolyser_ consisted of a long tobacco-pipe stem placed inside a rather shorter and considerably wider tube of glass; the pipe stem was fixed by passing through two corks, one at each end of the glass tube; through one of these corks there also passed a short piece of glass tubing. when the instrument was employed, the piece of short glass tubing was connected with an air-pump, and one end of the pipe stem with the gaseous mixture--say ordinary air. the air-pump being set in motion, the gaseous mixture was allowed to flow slowly through the pipe stem; the lighter ingredient of the mixture passed outwards through the pipe stem into the wide glass tube more rapidly than the heavier ingredient, and was swept away to the air-pump; the heavier ingredient could be collected, mixed with only a small quantity of the lighter, at the other end of the pipe stem. as graham most graphically expressed it, "the stream of gas diminishes as it proceeds, like a river flowing over a pervious bed." graham then contrived a very simple experiment whereby he was able to measure the rate of motion of the molecules of carbonic acid. he introduced a little carbonic acid into the lower part of a tall cylindrical jar, and at the close of certain fixed periods of time he determined the amount of carbonic acid which had diffused upwards through the air into the uppermost layer of the jar. knowing the height of the jar, he now knew the distance through which a small portion of carbonic acid passed in a stated time, and regarding this small portion as consisting of a great many molecules, all moving at about equal rates, he had determined the average velocity of the molecules of carbonic acid. a similar experiment was performed with hydrogen. the general results were that the molecules of carbonic acid move about in still air with a velocity equal to seventy-three millimetres per minute, and that under the same conditions the molecules of hydrogen move with a velocity equal to about one-third of a metre per minute.[ ] the bakerian lecture for , read by graham before the royal society, was entitled "on the diffusion of liquids." in this paper he describes a very large number of experiments made with a view to determine the rate at which a salt in aqueous solution diffuses, or passes upwards into a layer of pure water above it, the salt solution and the water not being separated by any intervening medium. graham's method of procedure consisted in completely filling a small bottle with a salt solution of known strength, placing this bottle in a larger graduated vessel, and carefully filling the latter with water. measured portions of the water in the larger vessel were withdrawn at stated intervals, and the quantity of salt in each portion was determined. graham found that under these conditions salts diffused with very varying velocities. groups of salts showed equal rates of diffusion. there appeared to be no definite connection between the molecular weights of the salts and their diffusion-rates; but as graham constantly regarded diffusion, whether of gases or liquids, as essentially due to the movements of minute particles, he thought that the particles which moved about as wholes during diffusion probably consisted of groups of what might be called chemical molecules--in other words, graham recognized various orders of small particles. as the atom was supposed to have a simpler structure than the molecule (if indeed it had a structure at all), so there probably existed groups of molecules which, under certain conditions, behaved as individual particles with definite properties. as graham applied the diffusion of gases to the separation of two gases of unequal densities, so he applied the diffusion of liquids to the separation of various salts in solution. he showed also that some complex salts, such as the alums, were partially separated into their constituents during the process of diffusion. the prosecution of these researches led to most important results, which were gathered together in a paper on "liquid diffusion applied to analysis," read to the royal society in . graham divided substances into those which diffused easily and quickly into water, and those which diffused very slowly; he showed that the former were all crystallizable substances, while the latter were non-crystallizable jelly-like bodies. graham called these jelly-like substances _colloids;_ the easily diffusible substances he called _crystalloids_. he proved that a colloidal substance acts towards a crystalloid much as water does; that the crystalloid rapidly diffuses through the colloid, but that colloids are not themselves capable of diffusing through other colloids. on this fact was founded graham's process of _dialysis_. as colloid he employed a sheet of parchment paper, which he stretched on a ring of wood or caoutchouc, and floated the apparatus so constructed--_the dialyser_--on the surface of pure water in a glass dish; he then poured into the dialyser the mixture of substances which it was desired to separate. let us suppose that this mixture contained sugar and gum; the crystalloidal sugar soon passed through the parchment paper, and was found in the water outside, but the colloidal gum remained in the dialyser. if the mixture in the dialyser contained two crystalloids, the greater part of the more diffusible of these passed through the parchment in a short time along with only a little of the less diffusible; a partial separation was thus effected. this method of dialysis was applied by graham to separate and obtain in the pure state many colloidal modifications of chemical compounds, such as aluminium and tin hydrates, etc. by his study of these peculiar substances graham introduced into chemistry a new class of bodies, and opened up great fields of research. matter in the colloidal state appears to be endowed with properties which are quite absent, or are hidden, when it is in the ordinary crystalloidal condition. colloids are readily affected by the smallest changes in external conditions; they are eminently unstable bodies; they are, graham said, always on the verge of an impending change, and minute disturbances in the surrounding conditions may precipitate this change at any moment. crystalloids, on the other hand, are stable; they have definite properties, which are not changed without simultaneous large changes in surrounding conditions. but although, to use graham's words, these classes of bodies "appear like different worlds of matter," there is yet no marked separating line between them. ice is a substance which under ordinary conditions exhibits all the properties of crystalloids, but ice formed in contact with water just at the freezing point is not unlike a mass of partly dried gum; it shows no crystalline structure, but it may be rent and split like a lump of glue, and, like glue, the broken pieces may be pressed together again and caused to adhere into one mass. "can any facts," asks graham, "more strikingly illustrate the maxim that in nature there are no abrupt transitions, and that distinctions of class are never absolute?" in the properties of colloids and crystalloids graham saw an index of diversity of molecular structure. the smallest individual particle of a colloid appeared to him to be a much more complex structure than the smallest particle of a crystalloid. the colloidal molecule appeared to be formed by the gathering together of several crystalloidal molecules; such a complex structure might be expected readily to undergo change, whereas the simpler molecule of a crystalloid would probably present more definite and less readily altered properties. in this research graham had again, as so often before, arrived at the conception of various orders of small particles. in the early days of the daltonian theory it seemed that the recognition of atoms as ultimate particles, by the placing together of which masses of this or that kind of matter are produced, would suffice to explain all the facts of chemical combinations; but dalton's application of the term "atom" to elements and compounds alike implied that an atom might itself have parts, and that one atom might be more complex than another. the way was thus already prepared for the recognition of more than one order of atoms, a recognition which was formulated three years after the appearance of dalton's "new system" in the statement of avogadro, "equal volumes of gases contain equal numbers of molecules;" for we have seen that the application of this statement to actually occurring reactions between gases obliges us to admit that the molecules of hydrogen, oxygen and many other elementary gases are composed of two distinct parts or atoms. berzelius it is true did not formally accept the generalization of avogadro; but we have seen how the conception of atom which runs through his work is not that of an indivisible particle, but rather that of a little individual part of matter with definite properties, from which the mass of matter recognizable by our senses is constructed, just as the wall is built up of individual bricks. and as the bricks are themselves constructed of clay, which in turn is composed of silica and alumina, so may each of these little parts of matter be constructed of smaller parts; only as clay is not brick, and neither silica nor alumina is clay, so the properties of the parts of the atom--if it has parts--are not the properties of the atom, and a mass of matter constructed of these parts would not have the same properties as a mass of matter constructed of the atoms themselves. another feature of graham's work is found in the prominence which he gives to that view of a chemical compound which regards it as the resultant of the action and reaction of the parts of the compound. as the apparent stability of chemical compounds was seen by davy to be the result of an equilibrium of contending forces, so did the seemingly changeless character of any chemical substance appear to graham as due to the orderly changes which are continually proceeding among the molecules of which the substance is constructed. a piece of lime, or a drop of water, was to the mind of graham the scene of a continual strife, for that minute portion of matter appeared to him to be constructed of almost innumerable myriads of little parts, each in more or less rapid motion, one now striking against another and now moving free for a little space. interfere with those movements, alter the mutual action of those minute particles, and the whole building would fall to pieces. for more than thirty years graham was content to trace the movements of molecules. during that time he devoted himself, with an intense and single-minded devotion, to the study of molecular science. undaunted in early youth by the withdrawal of his father's support; unseduced in his middle age by the temptations of technical chemistry, by yielding to which he would soon have secured a fortune; undazzled in his later days by the honours of the position to which he had attained; graham dedicated his life to the nobler object of advancing the bounds of natural knowledge, and so adding to those truths which must ever remain for the good and furtherance of humanity. footnotes: [ ] a metre is equal to about thirty-nine inches; a millimetre is the one-thousandth part of a metre. chapter vi. rise and progress of organic chemistry--period of liebig and dumas. _justus liebig, - . jean baptiste andré dumas, born in ._ i have as yet said almost nothing with regard to the progress of organic chemistry, considered as a special branch of the science. it is however in this department that the greatest triumphs which mark the third period of chemical advance have been won. we must therefore now turn our attention to the work which has been done here. the ancients drew no such distinction between portions of their chemical knowledge, limited as it was, as is implied by the modern terms "organic" and "inorganic chemistry." an organic acid--acetic--was one of the earliest known substances belonging to the class of acids; many processes of chemical handicraft practised in the olden times dealt with the manufacture of substances, such as soap, leather or gum, which we should now call organic substances. nor did the early alchemists, although working chiefly with mineral or inorganic substances, draw any strict division between the two branches of chemistry. the medical chemists of the sixteenth century dealt much with substances derived from plants and animals, such as benzoic and succinic acids, spirit of wine, oils, etc. but neither in their nomenclature nor in their practice did they sharply distinguish inorganic from organic compounds. they spoke of the _quintessence_ of arsenic and the _quintessence_ of alcohol; they applied the term "oil" alike to the products of the action of acids on metallic salts and to substances obtained from vegetables. but towards the end of the seventeenth century, at the time that is when the phlogistic theory began to gain pre-eminence, we find gradually springing up a division of chemical substances into mineral, animal and vegetable substances--a division which was based rather on a consideration of the sources whence the substances were derived than on the properties of the substances themselves, and therefore a division which was essentially a non-chemical one. about a century after this, systematic attempts began to be made to trace some peculiarity of composition as belonging to all compounds of organic, that is, of animal or vegetable, origin. as very many of the substances then known belonging to this class were more or less oil-like in their properties--oils, fats, balsams, gums, sugar, etc.--organic substances generally were said to be characterized by the presence in them of the _principle of oil_. such a statement as this, although suited to the conceptions of that time, could not be received when lavoisier had shown chemists how nature ought be examined. with the definite conception of element introduced by the new chemistry, came an attempt to prove that organic compounds were built up of elements which were rarely found together in any one compound of inorganic origin. substances of vegetable origin were said by lavoisier to be composed of carbon, hydrogen and oxygen, while phosphorus and nitrogen, in addition to those three elements, entered into the composition of substances derived from animals. but neither could this definition of organic compounds be upheld in the face of facts. wax and many oils contained only carbon and hydrogen, yet they were undoubtedly substances of vegetable or animal origin. if the presence of any two of the three elements, carbon, hydrogen and oxygen, were to be regarded as a sufficient criterion for the classification of a compound, then it was necessary that carbonic acid--obtained by the action of a mineral acid on chalk--should be called an organic compound. to berzelius belongs the honour of being the chemist who first applied the general laws of chemical combination to all compounds alike, whether derived from minerals, animals, or vegetables. the ultimate particles, or molecules, of every compound were regarded by berzelius as built up of two parts, each of which might itself be an elementary atom, or a group of elementary atoms. one of these parts, he said, was characterized by positive, the other by negative electricity. every compound molecule, whatever was the nature or number of the elementary atoms composing it, was a dual structure (see p. ). organic chemistry came again to be a term somewhat loosely applied to the compounds derived from animals or vegetables, or in the formation of which the agency of living things was necessary. most, if not all of these compounds contained carbon and some other element or elements, especially hydrogen, oxygen and nitrogen. but the progress of this branch of chemistry was impeded by the want of any trustworthy methods for analysing compounds containing carbon, oxygen and hydrogen. this want was to be supplied, and the science of organic chemistry, and so of chemistry in general, was to be immensely advanced by the labours of a new school of chemists, chief among whom were liebig and dumas. let us shortly trace the work of these two renowned naturalists. the life-work of the first is finished; i write this story of the progress of his favourite science on the eighty-second birthday of the second of these great men, who is still with us a veteran crowned with glory, a true soldier in the battle against ignorance and so against want and crime. * * * * * justus liebig was born at darmstadt, on the th of may . the main facts which mark his life regarded apart from his work as a chemist are soon told. showing a taste for making experiments he was apprenticed by his father to an apothecary. fortunately for science he did not long remain as a concoctor of drugs, but was allowed to enter the university of bonn as a student of medicine. from bonn he went to erlangen, at which university he graduated in . a year or two before this time liebig had begun his career as an investigator of nature, and he had already made such progress that the grand duke of hesse-darmstadt was prevailed on to grant him a small pension and allow him to prosecute his researches at paris, which was then almost the only place where he could hope to find the conditions of success for the study of scientific chemistry. to paris accordingly he went in . he was so fortunate--thanks to the good graces of the renowned naturalist alexander von humboldt--as to be allowed to enter the laboratory of gay-lussac, where he continued the research on a class of explosive compounds, called _fulminates_, which he had begun before leaving darmstadt. a year later liebig was invited to return to his native country as professor of chemistry in the small university of giessen--a name soon to be known wherever chemistry was studied, and now held dear by many eminent chemists who there learned what is meant by the scientific study of nature. the year before liebig entered the laboratory of gay-lussac there came to paris a young and enthusiastic student who had already made himself known in the scientific world by his physiological researches, and who was now about to begin his career as a chemist. in that southern part of france which is rich in memories of the roman occupation, not far from the remains of the great aqueduct which spans the valley of the gardon, at no great distance from the famous cities of arles and nîmes, was born, in the town of alais, on the th of july , jean baptiste andrÉ dumas. the father of dumas was a man of considerable culture; he gave his son as good an education as could be obtained in the little town of his birth. at the age of fourteen young dumas was a good classical scholar, and had acquired a fair knowledge of natural science. but for his deficiency in mathematics he would probably have entered for the examination which admitted those who passed it to join the french navy. but before he had made good his mathematical deficiencies the troublous nature of the times ( - ) obliged his parents to think of some other profession for their son which would entail less sacrifice on their part. like his great fellow-worker in after life he was apprenticed to an apothecary, and like him also, he soon forsook this sphere of usefulness. desirous of better opportunities for the study of science, and overpowered by the miseries which war had brought upon the district of his birth, dumas persuaded his father to allow him to go to geneva. at geneva dumas found an atmosphere more suited to his scientific progress; chemistry, physics, botany, and other branches of natural science were taught by men whose names were everywhere known. he began experiments in chemistry with the crudest and most limited apparatus, but even with these he made discoveries which afterwards led to important work on the volumes occupied by the atoms of elementary substances. about the year dumas became acquainted with dr. j. l. prévost, who had returned from studying in many of the most famous medical schools of europe. invited by prévost to join in an investigation requiring medical, botanical and chemical knowledge, dumas now began a series of researches which soon passed into the domain of animal physiology, and by the prosecution of which under many difficulties he laid the foundations of his future fame. but along with his physiological work dumas carried on a research into the expansion of various ethers. this necessitated the preparation of a series of ethers in a state of purity; but so difficult did dumas find this to be, so much time did he consume in this preliminary work, and so interested did he become in the chemical part of the investigation, that he abandoned the experiments on expansion, and set himself to solve some of the problems presented by the composition and chemical properties of the ethers. dumas would probably have remained in geneva had he not had a morning visit paid him in the year . when at work in his laboratory one day, some one knocked and was bidden come in. "i was surprised to find myself face to face with a gentleman in a light-blue coat with metal buttons, a white waistcoat, nankeen breeches, and top-boots.... the wearer of this costume, his head somewhat bent, his eyes deep-set but keen, advanced with a pleasant smile, saying, 'monsieur dumas.' 'the same, sir; but excuse me.' 'i am m. de humboldt, and did not wish to pass through geneva without having had the pleasure of seeing you.'... i had only one chair. my visitor was pleased to accept it, whilst i resumed my elevated perch on the drawing stool.... 'i intend,' said m. de humboldt, 'to spend some days in geneva, to see old friends and to make new ones, and more especially to become acquainted with young people who are beginning their career. will you act as my cicerone? i warn you however that my rambles begin early and end late. now, could you be at my disposal, say from six in the morning till midnight?'" after some days spent as humboldt had indicated the great naturalist left geneva. dumas tells us that the town seemed empty to him. "i felt as if spell-bound. the memorable hours i had spent with that irresistible enchanter had opened a new world to my mind." dumas felt that he must go to paris--that there he would have more scope and more opportunities for prosecuting science. a few kind words, a little genuine sympathy, and a little help from humboldt were thus the means of fairly launching in their career of scientific inquiry these two young men, liebig and dumas. in paris, whither he went in , dumas found a welcome. he soon made the acquaintance and gained the friendship of the great men who then made natural science so much esteemed in the french capital. when the year came, it saw him professor of chemistry at the athenæum, and married to the lady whom he loved, and who has ever since fought the battle of life by his side. liebig left paris in . by the year he had perfected and applied that method for the analysis of organic compounds which is now in constant use wherever organic chemistry is studied; by the same year dumas had given the first warning of the attack which he was about to make on the great structure of dualism raised by berzelius. in a paper, "on some points of the atomic theory," published in , dumas adopted the distinction made by avogadro between molecules and atoms, or between the small particles of substances which remain undivided during physical actions, and the particles, smaller than these, which are undivided during chemical actions. but, unfortunately, dumas did not mark these two conceptions by names sufficiently definite to enable the readers of his memoir to bear the distinction clearly in mind. the terms "atom" and "molecule" were not introduced into chemistry with the precise meanings now attached to them until some time after . although the idea of two orders of small particles underlies all the experimental work described by dumas in this paper, yet the numbers which he obtained as representing the actual atomic weights of several elements--_e.g._ phosphorus, arsenic, tin, silicon--show that he had not himself carried out avogadro's hypothesis to its legitimate conclusions. two years after this dumas employed the reaction wherein two volumes of gaseous hydrochloric acid are produced by the union of one volume of hydrogen with one volume of chlorine, as an argument which obliged him to conclude that, if avogadro's physical hypothesis be accepted, the molecules of hydrogen and chlorine split, each into two parts, when these gases combine chemically. but dumas did not at this time conclude that the molecular weight of hydrogen must be taken as twice its atomic weight, and that--hydrogen being the standard substance--the molecular weights of all gases must be represented by the specific gravities of these gases, referred to hydrogen as . i have already shortly discussed the method for finding the relative weights of elementary atoms which is founded on avogadro's hypothesis, and, i think, have shown that this hypothesis leads to the definition of "atom" as the smallest amount of an element in one molecule of any compound of that element (see p. ). this deduction from avogadro's law is now a part and parcel of our general chemical knowledge. we wonder why it was not made by dumas; but we must remember that a great mass of facts has been accumulated since , and that this definition of "atom" has been gradually forced on chemists by the cumulative evidence of those facts. one thing dumas did do, for which the thanks of every chemist ought to be given him; he saw the need of a convenient method for determining the densities of compounds in the gaseous state, and he supplied this need by that simple, elegant and trustworthy method, still in constant use, known as _dumas's vapour density process_. while dumas was working out the details of this analytical method, which was destined to be so powerful an instrument of research, liebig was engaged in similar work; he was perfecting that process for the analysis of organic compounds which has since played so important a part in the advancement of this branch of chemical science. the processes in use during the first quarter of this century for determining the amounts of carbon, hydrogen, and oxygen in compounds of those elements, were difficult to conduct and gave untrustworthy results. liebig adopted the principle of the method used by lavoisier, viz. that the carbon in a compound can be oxidized, or burnt, to carbonic acid, and the hydrogen to water. he contrived a very simple apparatus wherein this burning might be effected and the products of the burning--carbonic acid and water--might be arrested and weighed. liebig's apparatus remains now essentially as it was presented to the chemical world in . various improvements in details have been made; the introduction of gas in place of charcoal as a laboratory fuel has given the chemist a great command over the process of combustion, but in every part of the apparatus to-day made use of in the laboratory is to be traced the impress of the master's hand. a weighed quantity of the substance to be analyzed is heated with oxide of copper in a tube of hard glass; the carbon is burnt to carbonic acid and the hydrogen to water at the expense of the oxygen of the copper oxide. attached to the combustion tube is a weighed tube containing chloride of calcium, a substance which greedily combines with water, and this tube is succeeded by a set of three or more small bulbs, blown in one piece of glass, and containing an aqueous solution of caustic potash, a substance with which carbonic acid readily enters into combination. the chloride of calcium tube and the potash bulbs are weighed before and after the experiment; the increase in weight of the former represents the amount of water, and the increase in weight of the latter the amount of carbonic acid obtained by burning a given weight of the compound under examination. as the composition of carbonic acid and of water is known, the amounts of carbon and of hydrogen in one hundred parts of the compound are easily found; the difference between the sum of these and one hundred represents the amount of oxygen in one hundred parts of the compound. if the compound should contain elements other than these three, those other elements are determined by special processes, the oxygen being always found by difference. soon after his settlement at giessen liebig turned his attention to a class of organic compounds known as the _cyanates_; but wöhler--who, while liebig was in paris in the laboratory of gay-lussac, was engaged in studying the intricacies of mineral chemistry under the guidance of berzelius--had already entered on this field of research. the two young chemists compared notes, recognized each other's powers, and became friends; this friendship strengthened as life advanced, and some of the most important papers which enriched chemical science during the next thirty years bore the joint signatures of liebig and wöhler. i have already mentioned that when it was found necessary to abandon the lavoisierian definition of organic chemistry as the chemistry of compounds containing carbon, hydrogen and oxygen, and sometimes also phosphorus or nitrogen, a definition was attempted to be based on the supposed fact that the formation of the compounds obtained from animals and plants could be accomplished only by the agency of a living organism. but the discovery made in by wöhler, that _urea_--a substance specially characterized by its production in the animal economy, and in that economy only--could be built up from mineral materials, rendered this definition of organic chemistry impossible, and broke down the artificial barrier whereby naturalists attempted to separate two fields of study between which nature made no division. we have here another illustration of the truth of the conception which underlies so many of the recent advances of science, which is the central thought of the noble structure reared by the greatest naturalist of our time, and which is expressed by one of the profoundest students of nature that this age has seen in the words i have already quoted from the preface to the "lyrical ballads," "in nature everything is distinct, but nothing defined into absolute independent singleness." from this time the progress of organic chemistry became rapid. dumas continued the researches upon ethers which he had commenced at geneva, and by the year or so he had established the relations which exist between ethers and alcohols on the one hand, and ethers and acids on the other. this research, a description of the details of which i cannot introduce here as it would involve the use of many technical terms and assume the possession by the reader of much technical knowledge, was followed by others, whereby dumas established the existence of a series of compounds all possessed of the chemical properties of alcohol, all containing carbon, hydrogen and oxygen, but differing from one another by a constant amount of carbon and hydrogen. this discovery of a series of alcohols, distinguished by the possession of certain definite properties whereby they were marked off from all other so-called organic compounds, was as the appearance of a landmark to the traveller in a country where he is without a guide. the introduction of the comparative method of study into organic chemistry--the method, that is, which bases classification on a comparison of large groups of compounds, and which seeks to gather together those substances which are like and to separate those which are unlike--soon began to bear fruit. this method suggested to the experimenter new points of view from which to regard groups of bodies; analogies which were hidden when a few substances only were considered, became prominent as the range of view was widened. what the gentle elia calls "fragments and scattered pieces of truth," "hints and glimpses, germs, and crude essays at a system," became important. there was work to be done, not only by the master spirits who, looking at things from a central position of vantage, saw the relative importance of the various detailed facts, but also by those who could only "beat up a little game peradventure, and leave it to knottier heads, more robust constitutions, to run it down." twenty years before the time of which we are now speaking davy had decomposed the alkalis potash and soda; as he found these substances to be metallic oxides, he thought it very probable that the other well-known alkali, ammonia, would also turn out to be the oxide of a metal. by the electrolysis of salts formed by the action of ammonia on acids, using mercury as one of the poles of the battery, davy obtained a strange-looking spongy substance which he was inclined to regard as an alloy of the metallic base of ammonia with mercury. from the results of experiments by himself and others, davy adopted a view of this alloy which regarded it as containing a _compound radicle_, or group of elementary atoms which in certain definite chemical changes behaved like a single elementary atom. to this compound radicle he gave the name of _ammonium_. as an aqueous solution of potash or soda was regarded as a compound of water and oxide of potassium or sodium, so an aqueous solution of ammonia was regarded as a compound of water and oxide of ammonium. when the composition of this substance, ammonium, came to be more accurately determined, it was found that it might be best represented as a compound atom built up of one atom of nitrogen and four atoms of hydrogen. the observed properties of many compounds obtained from ammonia, and the analogies observed between these and similar compounds obtained from potash and soda, could be explained by assuming in the compound atom (or better, in the molecule) of the ammonia salt, the existence of this group of atoms, acting as one atom, called ammonium. the reader will not fail to observe how essentially atomic is this conception of compound radicle. the ultimate particle, the molecule, of a compound has now come to be regarded as a structure built up of parts called atoms, just as a house is a structure built up of parts called stones and bricks, mortar and wood, etc. but there may be a closer relationship between some of the atoms in this molecule than between the other atoms. it may be possible to remove a group of atoms, and put another group--or perhaps another single atom--in the place of the group removed, without causing the whole atomic structure to fall to pieces; just as it may be possible to remove some of the bricks from the wall of a house, or a large wooden beam from beneath the lintels, and replace these by other bricks or by a single stone, or replace the large wooden beam by a smaller iron one, without involving the downfall of the entire house. the group of atoms thus removable--the compound radicle--may exist in a series of compounds. as we have an oxide, a sulphide, a chloride, a nitrate, etc., of sodium, so we may have an oxide, a sulphide, a chloride, a nitrate, etc., of ammonium. the compounds of sodium are possessed of many properties in common; this is partly explained by saying that they all contain one or more atoms of the element sodium. the compounds of ammonium possess many properties in common, and this is partly explained if we assume that they all contain one or more atoms of the compound radicle ammonium. the conception of compound radicle was carried by berzelius to its utmost limits. we have learned that the swedish chemist regarded every molecule as composed of two parts; in very many cases each of these parts was itself made up of more than one kind of atom--it was a compound radicle. but the berzelian system tended to become too artificial: it drifted further and further away from facts. of the two parts composing the dual molecular structure, one was of necessity positively, and the other negatively electrified. the greater number of the so-called organic compounds contained oxygen; oxygen was the most electro-negative element known; hence most organic compounds were regarded as formed by the coming together of one, two, or more atoms of oxygen, forming the negative part of the molecule, with one, two, or more atoms of a compound radicle, which formed the positive part of the molecule. from this dualistic view of the molecule there naturally arose a disposition to regard the compound radicles of organic chemistry as the non-oxygenated parts of the molecules of organic compounds. an organic compound came gradually to be regarded as a compound of oxygen with some other elements, which were all lumped together under the name of a compound radicle, and organic chemistry was for a time defined as the chemistry of compound radicles. from what has been said on p. , i think it will be evident that the idea of _substitution_ is a necessary part of the original conception of compound radicle; a group of atoms in a molecule may, it is said, be removed, and another group, or another atom, _substituted_ for that which is removed. berzelius adopted this idea, but he made it too rigid; he taught that an electro-negative atom, or compound radicle, could be replaced or substituted only by another electro-negative atom or group of atoms, and a positively electrified atom or group of atoms, only by another electro-positive atom or compound radicle. thus oxygen could perhaps be replaced by chlorine, but certainly not by hydrogen; while hydrogen might be replaced by a positively electrified atom, but certainly not by chlorine. the conceptions of compound radicles and of substitution held some such position in organic chemistry as that which i have now attempted to indicate when dumas and liebig began their work in this field. the visitors at one of the royal _soirées_ at the tuileries were much annoyed by the irritating vapours which came from the wax candles used to illuminate the apartments; dumas was asked to examine the candles and find the reason of their peculiar behaviour. he found that the manufacturer had used chlorine to bleach the wax, that some of this chlorine remained in the candles, and that the irritating vapours which had annoyed the guests of charles x. contained hydrochloric acid, produced by the union of chlorine with part of the hydrogen of the wax. candles bleached by some other means than chlorine were in future used in the royal palaces; and the unitary theory, which was to overthrow the dualism of berzelius, began to arise in the mind of dumas. the retention of a large quantity of chlorine by wax could scarcely be explained by assuming that the chlorine was present only as a mechanically held impurity. dumas thoroughly investigated the action of chlorine on wax and other organic compounds; and in he announced that hydrogen in organic compounds can be exchanged for chlorine, every volume of hydrogen given up by the original compound being replaced by an equal volume of chlorine. liebig and wöhler made use of a similar conception to explain the results which they had obtained about this time in their study of the oil of bitter almonds, a study which will be referred to immediately. the progress of this bold innovation made by dumas was much advanced by the experiments and reasonings of two french chemists, whose names ought always to be reverenced by students of chemistry as the names of a pair of brilliant naturalists to whom modern chemistry owes much. _gerhardt_ was distinguished by clearness of vision and expression; _laurent_ by originality, breadth of mind and power of speculation. laurent appears to have been the first who made a clear statement of the fundamental conception of the unitary theory: "many organic compounds, when treated with chlorine lose a certain number of equivalents of hydrogen, which passes off as hydrochloric acid. an equal number of equivalents of chlorine takes the place of the hydrogen so eliminated; thus the physical and chemical properties of the original substance are not profoundly changed. the chlorine occupies the place left vacant by the hydrogen; the chlorine plays in the new compound the same part as was played by the hydrogen in the original compound." the replacement of electro-positive hydrogen by electro-negative chlorine was against every canon of the dualistic chemistry; and to say that the physical and chemical properties of the original compound were not profoundly modified by this replacement, seemed to be to call in question the validity of the whole structure raised by the labours during a quarter of a century of one universally admitted to be among the foremost chemists of his age. but facts accumulated. by the action of chlorine on alcohol liebig obtained _chloroform_ and _chloral_, substances which have since been so largely applied to the alleviation of human suffering; but it was dumas who correctly determined the composition of these two compounds, and showed how they are related to alcohol and to one another. liebig's reception of the corrections made by dumas in his work furnishes a striking example of the true scientific spirit. "as an excellent illustration," said liebig, "of the mode in which errors should be corrected, the investigation of chloral by dumas may fitly be introduced. it carried conviction to myself, as i think to everybody else, not by the copious number of analytical data opposed to the not less numerous results which i had published, but because these data gave a simpler explanation both of the formation and of the changes of the substances in question." one of the most important contributions to the new views was made by dumas in his paper on the action of chlorine on acetic acid ( ), wherein he proved that the product of this action, viz. _trichloracetic acid_, is related to the parent substance by containing three atoms of chlorine in place of three atoms of hydrogen in the molecule; that the new substance is, like the parent substance, a monobasic acid; that its salts are very analogous in properties to the salts of acetic acid; that the action of the same reagents on the two substances is similar; and finally, that the existence of many derivatives of these compounds could be foretold by the help of the new hypothesis, which derivatives ought not to exist according to the dualistic theory, but which, unfortunately for that theory, were prepared and analyzed by dumas. i have alluded to a research by liebig and wöhler on oil of bitter almonds as marking an important stage in the advance of the anti-dualistic views. the paper alluded to was published in . at that time it was known that _benzoic acid_ is formed by exposure of bitter-almond oil to the air. liebig and wöhler made many analyses of these two substances, and many experiments on the mutual relations of their properties, whereby they were led to regard the molecules of the oil as built up each of an atom of hydrogen and an atom of a compound radicle--itself a compound of carbon, hydrogen and oxygen--to which they gave the name of _benzoyl_.[ ] benzoic acid they regarded as a compound of the same radicle with another radicle, consisting of equal numbers of oxygen and hydrogen atoms. by the action of chlorine and other reagents on bitter-almond oil these chemists obtained substances which were carefully analyzed and studied, and the properties of which they showed could be simply explained by regarding them all as compounds of the radicle _benzoyl_ with chlorine and other atoms or groups of atoms. but this view, if adopted, necessitated the belief that chlorine atoms could replace oxygen atoms; and, generally, that the substitution of an electro-positive by a negative atom or group of atoms did not necessarily cause any great alteration in the properties of the molecule. thus it was that the rigid conceptions of dualism were shown to be too rigid; that the possibility of an electro-positive radicle, or atom, replacing another of opposite electricity was recognized; and thus the view which regarded a compound molecule as one structure--atoms in which might be replaced by other atoms irrespective of the mutual electrical relations of these atoms--began to gain ground. from this time the molecule of a compound has been generally regarded as a unitary structure, as one whole, and the properties of the molecule as determined by the nature, number, and arrangement of all the atoms which together compose it. the unitary conception of a compound molecule appeared at first to be altogether opposed to the system of berzelius; but as time went on, and as fresh facts came to be known, it was seen that the new view conserved at least one, and that perhaps the most important, of the thoughts which formed the basis of the berzelian classification. underlying the dualism of berzelius was the conception of the molecule as an atomic structure; this was retained in the unitary system of dumas, gerhardt and laurent. berzelius had insisted that every molecule is a dual structure. this is taking too narrow a view of the possibilities of nature, said the upholders of the new school. _this_ molecule may have a dual structure; _that_ may be built up of three parts. the structure of this molecule or of that can be determined only by a careful study of its relations with other molecules. for a time it seemed also as if the new chemistry could do without the compound radicle which had been so much used by berzelius; but the pressure of facts soon drove the unitary chemists to recognize the value of that hypothesis which looked on parts of the molecule as sometimes more closely associated than other parts--which recognized the existence of atomic structures within the larger molecular structures. as a house is not simply a putting together of so many bricks, so much mortar, so many doors and windows, so many leaden pipes, etc., but rather a definite structure composed of parts, many of which are themselves also definite structures, such as the window and its accessory parts, the door with its lintel and handle, etc., so to the unitary chemists did the molecule appear to be built up of parts, some of which, themselves composed of yet smaller parts, discharged a particular function in the molecular economy. a general division of a plant might describe it as a structure consisting of a stem, a root, and leaves. each of the parts, directly by its individual action and indirectly by the mutual action between it and all the other parts, contributes to the growth of the whole plant; but if the stem, or root, or leaves be further analyzed, each is found to consist of many parts, of fibres and cells and tissue, etc. we may liken the plant to the molecule of an organic compound; the root, the stem and the leaves to the compound radicles of which this molecule is built up, and the tissue, fibres, etc., to the elementary atoms which compose these compound radicles. the molecule is one whole, possessed of definite structure and performing a definite function by virtue of the nature and the arrangement of its parts. many years elapsed after the publication of the researches of dumas, and of liebig and wöhler, before such a conception of the molecule as this was widely accepted by chemists. the opposition of the older school, headed by their doughty champion berzelius, had to be overcome; the infallibility of some of the younger members of the new school had to be checked; facts had to be accumulated, difficulties explained, weak analogies abandoned and strong ones rendered stronger by research; special views of the structure of this or that molecule, deduced from a single investigation, had to be supplemented and modified by wider views gained by the researches of many workers. it was not till that liebig, when asked by dumas at a dinner given during the french exhibition to the foreign chemists, why he had abandoned organic chemistry, replied that "now, with the theory of substitution as a foundation, the edifice may be built up by workmen: masters are no longer needed." laurent and gerhardt did noble work in advancing the unitary theory; to them is largely due the fruitful conception of types, an outcome of dumas's work, which owed its origin to the flickering of the wax candles in the tuileries during the royal _soirée_. chlorine can be substituted for hydrogen in acetic acid, and the product is closely related in its properties to the parent substance; various atoms or groups of atoms can be substituted by other groups in the derivatives of oil of bitter almonds, but a close analogy in properties runs through all these compounds: these facts might be more shortly expressed by saying that acetic and trichloracetic acids belong to the same _type_, and that the derivatives of bitter-almond oil likewise belong to one _type_. laurent carried this conception into inorganic chemistry. water and potash did not seem to have much in common, but laurent said potash is not a compound of oxide of potassium and water, it is rather a derivative of water. the molecule of potash is derived from that of water by replacing one atom of hydrogen in the latter by one atom of potassium; water and potash belong to the same type. thus there was constituted _the water type_. light was at once thrown on many facts in organic chemistry. the analogies between alcohol and water, some of which were first pointed out by graham (see p. ), seemed to follow as a necessary consequence when the molecule of alcohol was regarded as built on the water type. in place of two atoms of hydrogen combined with one of oxygen, there was in the alcohol molecule one atom of the compound radicle _ethyl_ (itself composed of carbon and hydrogen), one atom of oxygen and one of hydrogen. alcohol was water with one hydrogen atom substituted by one ethyl atom; the hydrogen atom was the atom of what we call an element, the ethyl was the atom of what we call a compound radicle. gerhardt sought to refer all organic compounds to one or other of three types--the water type, the hydrochloric acid type, and the ammonia type. as new compounds were prepared and examined, other types had to be introduced. to follow the history of this conception would lead us into too many details; suffice it to say that the theory of types was gradually merged in the wider theory of equivalency, about which i shall have a little to say in the next chapter. one result of the introduction of types into chemical science, associated as it was with the unitary view of compound radicles, was to overthrow that definition of organic chemistry which had for some time prevailed, and which stated that organic chemistry is "the chemistry of compound radicles." compound radicles, it is true, were more used in explaining the composition and properties of substances obtained from animals and vegetables than of mineral substances, but a definition of one branch of a science which practically included the other branch, from which the first was to be defined, could not be retained. chemists became gradually convinced that a definition of organic chemistry was not required; that there was no distinction between so-called organic and inorganic compounds; and they have consented, but i scarcely think will much longer consent, to retain the terms "organic" and "inorganic," only because these terms have been so long in use. the known compounds of the element carbon are so numerous, and they have been so much studied and so well classified, that it has become more convenient for the student of chemistry to consider them as a group, to a great extent apart from the compounds of the other elements; to this group he still often gives the name of "organic compounds." * * * * * liebig continued to hold the chair of chemistry in the university of giessen until the year , when he was induced by the king of bavaria to accept the professorship of the same science in the university of munich. during the second quarter of this century giessen was much resorted to by students of chemistry from all parts of the world, more especially from england. many men who afterwards made their mark in chemical discovery worked under the guidance of the professor of stockholm, but giessen has the honour of being the place where a well-appointed chemical laboratory for scientific research was first started as a distinctly educational institution. the fame of liebig as a discoverer and as a teacher soon filled the new institution with students, who were stirred to enthusiasm as they listened to his lectures, or saw him at work in his laboratory. "liebig was not exactly what is called a fluent speaker," says professor hofmann, of berlin, "but there was an earnestness, an enthusiasm in all he said, which irresistibly carried away the hearer. nor was it so much the actual knowledge he imparted which produced this effect, as the wonderful manner in which he called forth the reflective powers of even the least gifted of his pupils. and what a boon was it, after having been stifled by an oppressive load of facts, to drink the pure breath of science such as it flowed from liebig's lips! what a delight, after having perhaps received from others a sack full of dry leaves, suddenly in liebig's lectures to see the living, growing tree!... we felt then, we feel still, and never while we live shall we forget, liebig's marvellous influence over us; and if anything could be more astonishing than the amount of work he did with his own hands, it was probably the mountain of chemical toil which he got us to go through. each word of his carried instruction, every intonation of his voice bespoke regard; his approval was a mark of honour, and of whatever else we might be proud, our greatest pride of all was having him for our master.... of our young winnings in the noble playground of philosophical honour, more than half were free gifts to us from liebig, and to his generous nature no triumphs of his own brought more sincere delight than that which he took in seeing his pupils' success, and in assisting, while he watched, their upward struggle." liebig had many friends in england. he frequently visited this country, and was present at several meetings of the british association. at the meeting of he was asked to draw up a report on the progress of organic chemistry; he complied, and in presented the world with a book which marks a distinct epoch in the applications of science to industrial pursuits--"chemistry in its applications to agriculture and physiology." in this book, and in his subsequent researches and works,[ ] liebig established and enforced the necessity which exists for returning to the soil the nourishing materials which are taken from it by the growth of crops; he suggested that manure rich in the salts which are needed by plants might be artificially manufactured, and by doing this he laid the foundation of a vast industry which has arisen during the last two decades. he strongly and successfully attacked the conception which prevailed among most students of physiology at that time, that chemical and physical generalizations could not be applied to explain the phenomena presented by the growth of living organisms. he was among the first to establish, as an induction from the results of many and varied experiments, the canon which has since guided all teachers of the science of life, that a true knowledge of biology must be based on a knowledge of chemistry and physics. but liebig was not content to establish broad generalizations and to leave the working out of them to others; he descended from the heights of philosophical inquiry, and taught the housewife to make soup wherein the greatest amount of nourishment was conveyed to the invalid in the most easily digestible form; and has he not, by bringing within the reach of every one a portion of the animal nourishment which else had run to waste in the pampas of south america or the sheep-runs of australia, made his name, in every english home, familiar as a household word? on the death of berzelius in , it was to liebig that every chemist looked for a continuation of the annual report on the progress of chemistry, which had now become the central magazine of facts, whither each worker in the science could resort to make himself acquainted with what had been done by others on any subject which he proposed to investigate. from that time to the present day liebig's _annalen_ has been the leading chemical journal of the world. of the other literary work of liebig--of his essays, his celebrated "chemical letters," his many reports, his severe and sometimes harsh criticisms of the work of others--of the details of the three hundred original papers wherein he embodied the results of his researches, i have not time, nor would this be the place, to speak. honoured by every scientific society of any note in the world, crowned with the highest reward which england and france can offer to the man of science who is not an englishman or a frenchman--the copley medal and the associateship of the institute--honoured and respected by every student of science, loved by each of the band of ardent natures whom he had trained and sent forth to battle for the good of their race, and, best of all, working himself to the last in explaining the wonders of nature, he "passed into the silent land" on the th of april , leaving the memory of a life nobly devoted to the service of humanity, and the imperishable record of many truths added to the common stock of the race. * * * * * the life-work of dumas, other than that which i have already sketched, is so manifold and so varied, that to do more than refer to one or two leading points would carry us far beyond the limits within which i have tried to keep throughout this book. in one of his earliest papers dumas adopted the atomic theory as the corner-stone of his chemical system; he was thus led to an experimental revision of the values generally accepted for the atomic weights of some of the elements. among these revisions, that of the atomic weight of carbon holds a most important place, partly because of the excellency of the work, but more because of the other inquiries to which this work gave rise. dumas's experiments were summed up in the statement that the atom of carbon is twelve times heavier than the atom of hydrogen. the experimental methods and the calculations used in this determination involved a knowledge of the atomic weight of oxygen; in order accurately to determine the value to be assigned to this constant, dumas, in conjunction with boussingault, undertook a series of experiments on the synthesis of water, which forms one of the classical researches of chemistry, and wherein the number was established as representing the atomic weight of oxygen. stas, from experiments conducted at a later time with the utmost care and under conditions eminently fitted to gain accurate results, obtained the number · , in place of , for the atomic weight of oxygen; but in a paper recently published by the veteran dumas, a source of error is pointed out which stas had overlooked in his experiments, and it is shown that this error would tend slightly to increase the number obtained by stas. as the values assigned to the atomic weights of the elements are the very fundamental data of chemistry, and as we are every day more clearly perceiving that the mutual relations between the properties of elements and compounds are closely connected with the relative weights of the elementary atoms, we can scarcely lay too much stress on such work as this done by dumas and stas. not many years after the publication of dalton's "new system," the hypothesis was suggested by prout that the atomic weights of all the elements are represented by whole numbers--that of hydrogen being taken as unity--that the atom of each element is probably formed by the putting together of two, three, four, or more atoms of hydrogen, and that consequently there exists but a single elementary form of matter. among the upholders of this hypothesis dumas has held an important place. he modified the original statement of prout, and suggested that all atomic weights are whole multiples of half of that of hydrogen (that is, are whole multiples of / ). the experiments of stas seemed to negative this view, but later work--more especially the important critical revision of the results obtained by all the most trustworthy workers, conducted by professor clarke of cincinnati, and published by the smithsonian institution as part of their series of "constants of nature"--has shown that we are in no wise warranted by facts in rejecting prout's hypothesis as modified by dumas, but that the balance of evidence is at present rather in its favour. it would be altogether out of place to discuss here an hypothesis which leads to some of the most abstruse speculations as to the nature of matter in which chemists have as yet ventured to indulge. i mention it only because it illustrates the far-reaching nature of the researches of the chemist whose work we are now considering, and also because it shows the shallowness of the scoffs in which some partly educated people indulge when they see scientific men occupying themselves for years with attempts to solve such a minute and, as they say, trivial question as whether the number · or the number is to be preferred as representing the atomic weight of oxygen; "for in every speck of dust that falls lie hid the laws of the universe, and there is not an hour that passes in which you do not hold the infinite in your hand." another and very different subject, which has been placed on a firm basis by the researches of dumas, is the chemistry of fermentation. by his work on the action of beer-yeast on saccharine liquids, dumas proved liebig's view to be untenable--according to which the conversion of sugar into alcohol is brought about by the influence of chemical changes proceeding in the ferment; also that the view of berzelius, who regarded alcoholic fermentation as due simply to the contact of the ferment with the sugar, was opposed to many facts; and lastly, dumas showed that the facts were best explained by the view which regarded the change of sugar into alcohol as in no way different from other purely chemical changes, but as a change brought about, so far as our present knowledge goes, only by the agency of a growing organism of low form, such as yeast. in dumas established at his own expense a laboratory for chemical research. when the revolution of broke out dumas's means were much diminished, and he could no longer afford to maintain his laboratory. the closing of this place, where so much sound work had been done, was generally regarded as a calamity to science. about this time dumas received a visit from a person of unprepossessing appearance, who accosted him thus: "they assert that you have shut up your laboratory, but you have no right to do so. if you are in need of money, there," throwing a roll of bank-notes on the table, "take what you want. do not stint yourself; i am rich, a bachelor, and have but a short time to live." dumas's visitor turned out to be dr. jecker. he assured dumas that he was now only paying a debt, since he had made a fortune by what he had learnt in the medical schools of paris. dumas could not however in those troublous times turn his mind continuously to experimental research, and therefore declined dr. jecker's offer with many protestations of good will and esteem. new work now began to press upon dumas; his energy and his administrative powers were demanded by the state. elected a member of the national assembly in , he was soon called by the president of the republic to office as minister of agriculture and commerce. he was made a senator under the second empire. he entered the municipal council of paris about , and was soon elected to the presidency. under his presidency the great scheme for providing paris with spring-water carried by aqueducts and tunnels was successfully accomplished; many improvements were made in the drainage of the city; the cost of gas was decreased, while the quality was improved, the constancy of the supply insured, and the appliances for burning the gas in the streets were altered and rendered more effective. nominated to succeed pelouze as master of the mint in , dumas held this honourable and important position only until the franco-german war of . since that date he has relinquished political life; but as permanent secretary of the academy dumas now fills the foremost place in all affairs connected with science, whether pure or applied, in the french capital. in the work of these two chemists, liebig and dumas, we find admirable illustrations of the scientific method of examining natural appearances. in the broad general views which they both take of the phenomena to be studied, and the patient and persevering working out of details, we have shown us the combination of powers which are generally found in separate individuals. dumas has always insisted on the need of comparing properties and reactions of groups of bodies, before any just knowledge can be gained as to the position of a single substance in the series studied by the chemist. it has been his aim as a teacher, we are assured by his friend, professor hofmann, never to present to his students "an isolated phenomenon, or a notion not logically linked with others." to him each chemical compound is one in a series which connects it directly with many other similar compounds, and indirectly with other more or less dissimilar compounds. amid the overwhelming mass of facts which threaten nowadays to bury the science of chemistry, and crush the life out of it by their weight, dumas tracks his way by the aid of general principles; but these principles are themselves generalized from the facts, and are not the offspring of his own fancy. we have, i think, found that throughout the progress of chemical science two dangers have beset the student. he has been often tempted to accumulate facts, to amass analytical details, to forget that he is a chemist in his desire to perfect the instrument of analysis by the use of which he raises the scaffolding of his science; on the other hand, he has been sometimes allured from the path of experiment by his own day-dreams. the discoveries of science have been so wonderful, and the conceptions of some of those who have successfully prosecuted science have been so grand, that the student has not unfrequently been tempted to rest in the prevailing theories of the day, and, forgetting that these ought only "to afford peaceful lodgings to the intellect for the time," he has rather allowed them to circumscribe it, until at last the mind "finds difficulty in breaking down the walls of what has become its prison, instead of its home." we may think that dumas fell perhaps slightly into the former of these errors, when he did not allow his imagination a little more scope in dealing with the conception of "atom" and "molecule," the difference between which he had apprehended but not sufficiently marked by the year (see p. ). we know, from his own testimony, that liebig once fell into the latter error and that the consequences were disastrous. "i know a chemist"--meaning himself--"who ... undertook an investigation of the liquor from the salt-works. he found iodine in it, and observed, moreover, that the iodide of starch turned a fiery yellow by standing over-night. the phenomenon struck him; he saturated a large quantity of the liquor with chlorine, and obtained from this, by distillation, a considerable quantity of a liquid which coloured starch yellow, and externally resembled chloride of iodine, but differed from this compound in many properties. he explained, however, every discrepancy with satisfaction to himself; he contrived for himself a theory. several months later, he received a paper of m. balard's," announcing the discovery of bromine, "and on that same day he was able to publish the results of experiments on the behaviour of bromine with iron, platinum, and carbon; for balard's bromine stood in his laboratory, labelled _liquid chloride of iodine_. since that time he makes no more theories unless they are supported and confirmed by trustworthy experiments; and i can positively assert that he has not fared badly by so doing." another point which we notice in the life-work of these two chemists is their untiring labour. they were always at work; wherever they might be, they were ready to notice passing events or natural phenomena, and to draw suggestions from these. as davy proved the elementary character of iodine and established many of the properties of this substance during a visit to paris, so we find dumas making many discoveries during brief visits paid to his friends' laboratories when on excursions away from paris. during a visit to aix-les-bains, he noticed that the walls of the bath-room were covered with small crystals of sulphate of lime. the waters of the bath, he knew, were charged with sulphuretted hydrogen, but they contained no sulphuric acid, nor could that acid be detected in the air of the bath-rooms. this observation was followed up by experiments which proved that a porous material, such as a curtain or an ordinary plastered wall, is able to bring about the union of oxygen with sulphuretted hydrogen, provided moisture be present and a somewhat high temperature be maintained. again, we find liebig and dumas characterized by great mental honesty. "there is no harm in a man committing mistakes," said liebig, "but great harm indeed in his committing none, for he is sure not to have worked.... an error you have become cognizant of, do not keep in your house from night till morning." students of science, more than any other men, ought to be ready to acknowledge and correct the errors into which they fall. it is not difficult for them to do this: they have only to be continually going to nature; for there they have a court of appeal always ready to hear their case, and to give an absolutely unbiased judgment: they have but to bring their theories and guesses to this judge to have them appraised at their true value. footnotes: [ ] "in reviewing once more the facts elicited by our inquiry, we find them arranged around a common centre, a group of atoms preserving intact its nature, amid the most varied associations with other elements. this stability, this analogy, pervading all the phenomena, has induced us to consider this group as a sort of compound element, and to designate it by the special name of _benzoyl_."--liebig and wöhler, . [ ] "animal chemistry, or chemistry in its applications to physiology and pathology," . "researches on the chemistry of food," . "the natural laws of husbandry," . chapter vii. modern chemistry. on p. i referred to the work of the german chemist richter, by which the _equivalents_ of certain acids and bases were established. those quantities of various acids which severally neutralized one and the same quantity of a given base, or those quantities of various bases which severally neutralized one and the same quantity of a given acid, were said to be equivalent. these were the quantities capable of performing a certain definite action. in considering the development of dumas's substitution theory, we found that laurent retained this conception of equivalency when he spoke of an equivalent of hydrogen being replaced by an equivalent of chlorine (see p. ). a certain weight of chlorine was able to take the place and play the part of a certain weight of hydrogen in a compound; these weights, of hydrogen and chlorine, were therefore equivalent. this conception has been much used since laurent's time, but it has for the most part been applied to the atoms of the elements. hydrogen being taken as the standard substance, the elements have been divided into groups, in accordance with the number of hydrogen atoms with which one atom of each element is found to combine. thus certain elements combine with hydrogen only in the proportion of one atom with one atom; others combine in the proportion of one atom with two atoms of hydrogen; others in the proportion of one atom with three atoms of hydrogen, and so on. the adjective _monovalent_, _divalent_, _trivalent_, etc., is prefixed to an element to denote that the atom of this element combines with one, or two, or three, etc., atoms of hydrogen to form a compound molecule. let us consider what is implied in this statement--"the nitrogen atom is trivalent." this statement, if amplified, would run thus: "one atom of nitrogen combines with three atoms of hydrogen to form a compound molecule." now, this implies ( ) that the atomic weight of nitrogen is known, and ( ) that the molecular weight, and the number of nitrogen and hydrogen atoms in the molecule, of a compound of nitrogen and hydrogen are also known. but before the atomic weight of an element can be determined, it is necessary (as we found on p. ) to obtain, analyze, and take the specific gravities of a series of gaseous compounds of that element. the smallest amount of the element (referred to hydrogen as unity) in the molecule of any one of these gases will then be the atomic weight of the element. when it is said that "the molecular weight, and the number of nitrogen and hydrogen atoms in the molecule, of a compound of nitrogen and hydrogen are known," the statement implies that the compound in question has been obtained in a pure state, has been analyzed carefully, has been gasefied, and that a known volume of the gas has been weighed. when therefore we say that "the nitrogen atom is trivalent," we sum up a large amount of knowledge which has been gained by laborious experiment. this classification of the elements into groups of equivalent atoms--which we owe to frankland, williamson, odling, and especially to kekulé--has been of much service especially in advancing the systematic study of the compounds of carbon. it helps to render more precise the conception which has so long been gaining ground of the molecule as a definite structure. a monovalent element is regarded as one the atom of which acts on and is acted on by only one atom of hydrogen in a molecule; a divalent as one, the atom of which acts on and is acted on by two atoms of hydrogen--or other monovalent element--in a molecule; a trivalent element as one, the atom of which acts on and is acted on by three atoms of hydrogen--or other monovalent element--in a molecule; and so on. the fact that there often exist several compounds of carbon, the molecules of which are composed of the same numbers of the same atoms, finds a partial explanation by the aid of this conception of the elementary atom as a little particle of matter capable of binding to itself a certain limited number of other atoms to form a compound molecule. for if the observed properties of a compound are associated with a certain definite arrangement of the elementary atoms within the molecules of that compound, it would seem that any alteration in this arrangement ought to be accompanied by an alteration in the properties of the compound; in other words, the existence of more than one compound of the same elements united in the same proportions becomes possible and probable. i have said that such compounds exist: let me give a few examples. the alchemists poured a stream of mercury on to molten sulphur, and obtained a black substance, which was changed by heat into a brilliantly red-coloured body. we now know that the black and the red compounds alike contain only mercury and sulphur, and contain these elements united in the same proportions. hydrogen, carbon, nitrogen and oxygen unite in certain proportions to produce a mobile, colourless, strongly acid liquid, which acts violently on the skin, causing blisters and producing great pain: if this liquid is allowed to stand for a little time in the air it becomes turbid, begins to boil, gets thicker, and at last explodes, throwing a white pasty substance about in all directions. this white solid is inodorous, is scarcely acid to the taste, and does not affect the skin; yet it contains the same elements, united in the same proportions, as were present in the strongly acid, limpid liquid from which it was produced. two substances are known each containing carbon and hydrogen united in the same proportions: one is a gas with strong and irritating odour, and exerting a most disagreeable action on the eyes; the other is a clear, limpid, pleasant-smelling liquid. phosphorus is a very poisonous substance: it readily takes fire in the air at ordinary temperatures, so that it must be kept under water; but a modification of phosphorus is known, containing no form of matter other than phosphorus, which is non-poisonous, does not take fire easily, and may be handled with safety. once more, there is a compound of nitrogen and oxygen which presents the appearance of a deep-red, almost black gas; there is also a compound of nitrogen and oxygen which is a clear, colourless gas; yet both contain the same elements united in the same proportions. but a detailed consideration of _isomerism_, _i.e._ the existence of more than one compound built up of the same amounts of the same elements yet possessing different properties, would lead us too far from the main path of chemical advance which we wish to trace. the chemist is to-day continually seeking to connect the properties of the bodies he studies with the molecular structures of these bodies; the former he can observe, a knowledge of the latter he must gain by reasoning on the results of operations and experiments. his guide--the guide of lavoisier and his successors--is this: "similarity of properties is associated with similarity of composition"--by "composition" he generally means molecular composition. many facts have been amassed of late years which illustrate the general statement that the properties of bodies are connected with the composition of those bodies. thus a distinct connection has been traced between the tinctorial power and the molecular composition of certain dye-stuffs; in some cases it has even become possible to predict how a good dye-stuff may be made--to say that, inasmuch as this or that chemical reaction will probably give rise to the production of this or that compound, the atoms in the molecule of which we believe to have a certain arrangement relatively to one another, so this reaction or that will probably produce a dye possessed of strong tinctorial powers. the compound to the presence of which madder chiefly owes its dyeing powers is called _alizarine_; to determine the nature of the molecular structure of this compound was, for many years, the object of the researches of chemists; at last, thanks especially to the painstaking zeal of two german chemists, it became fairly clear that alizarine and a compound of carbon and hydrogen, called _anthracene_, were closely related in structure. anthracene was obtained from alizarine, and, after much labour, alizarine was prepared from anthracene. anthracene is contained in large quantities in the thick pitch which remains when coal-tar is distilled; this pitch was formerly of little or no value, but as soon as the chemical manufacturer found that in this black objectionable mass there lay hidden enormous stores of alizarine, he no longer threw away his coal-tar pitch, but sold it to the alizarine manufacturer for a large sum. thus it has come to pass that little or no madder is now cultivated; madder-dyeing is now done by means of alizarine made from coal-tar: large tracts of ground, formerly used for growing the madder plant, are thus set free for the growth of wheat and other cereals. this discovery of a method for preparing alizarine artificially stimulated chemists to make researches into the chemical composition, and if possible to get to know something about the molecular structure of indigo. those researches have very recently resulted in the knowledge of a series of reactions whereby this highly valuable and costly dye-stuff may be prepared from certain carbon compounds which, like anthracene, are found in coal-tar. these examples, while illustrating the connection that exists between the composition and the properties of bodies, also illustrate the need there is for giving a scientific chemical training to the man who is to devote his life to chemical manufactures. pure and applied science are closely connected; he who would succeed well in the latter must have a competent and a practical knowledge of the former. that composition--molecular composition--and properties are closely related is generally assumed, almost as an axiom, in chemical researches nowadays. lavoisier defined acids as substances containing oxygen; davy regarded an acid as a compound the properties of which were conditioned by the nature and by the arrangement of all the elements which it contained; liebig spoke of acids as substances containing "replaceable" hydrogen; the student of the chemistry of the carbon compounds now recognizes in an organic acid a compound containing hydrogen, but also carbon and oxygen, and he thinks that the atoms of hydrogen (or some of these atoms) in the molecule of such a compound are, in some way, closely related to atoms of oxygen and less closely to atoms of carbon, within that molecule,--in other words, the chemist now recognizes that, for carbon compounds at any rate, acids are acid not only because they contain hydrogen, but also because that hydrogen is related in a definite manner within the molecule to other elementary atoms; he recognizes that the acid or non-acid properties of a compound are conditioned, not only by the nature of the elements which together form that compound, but also by the arrangement of these elements. davy's view of the nature of acids is thus confirmed and at the same time rendered more definite by the results of recent researches. the physical student is content to go no further than the molecule; the properties of bodies which he studies are regarded, for the most part, as depending on the size, the nature, and perhaps the grouping together of molecules. but the chemist seeks to go deeper than this. the molecule is too large a piece of matter for him; the properties which he studies are conceived by him to be principally conditioned by the nature, the number, and the arrangement of the parts of the molecule--of the atoms which together build up the molecule. in these elementary atoms he has, for the present, found the materials of which the heavens and the earth are made; but facts are being slowly gained which render it probable that these atoms are themselves structures--that they are built up of yet smaller parts, of yet simpler kinds of matter. to gather evidence for or against this supposition, the chemist has been obliged to go from the earth to the heavens, he has been obliged to form a new science, the science of spectroscopic analysis. this subject has been considered in "the astronomers," belonging to this series of books; but the point of view from which the matter is there regarded is astronomical rather than chemical. i should like briefly to recall to the reader the fundamental facts of this branch of science. [illustration: fig. .] when a ray of light is allowed to pass through a glass prism and then fall on to a white surface, the image produced on this surface consists of a many-coloured band of light. the blue or violet part of this band is more bent away from the plane of the entering ray than the orange part, and the latter more than the red part of the band. this is roughly represented in fig. , where _r_ is the ray of light passing through the prism p, and emerging as a sevenfold band of coloured lights, of which the violet, v, is most, and the red band, r, is least bent away from the plane of the ray _r_. if the surface--say a white screen--on which the many-coloured band of light, or _spectrum_, falls, is punctured by a small hole, so as to admit the passage of the violet, or blue, or orange, or red light only, and if this violet, etc., light is then passed through a second prism, no further breaking up of that light takes place. this state of matters is represented in the part of the figure towards the right hand, where the red ray, r, is shown as passing through the screen, and falling on to a second prism, p': the red ray is slightly bent out of its direct course, but is not subdivided; it falls on the second screen as a ray of red light, r'. but if a quantity of the metal sodium is vaporized in a hot non-luminous flame, and if the yellow light thus produced is passed through a prism, a spectrum is obtained consisting of a single yellow line (on a dark background), situated on that part of the screen where the orange-yellow band occurred when the ray of sunlight was split up by the action of the prism. in fig. the yellow light from a flame containing sodium is represented by the line y. the light emitted by the glowing sodium vapour is said to be _monochromatic_. [illustration: fig. ] lastly, if the experiment is arranged so that a ray of sunlight or of light from an electric lamp passes through a layer of comparatively cool sodium vapour before reaching the prism, a spectrum is produced corresponding to the solar spectrum except that a black line appears in the position where the yellow line, characteristic of sodium, was noticed in the second experiment. [illustration: fig. .] fig. represents the result of this experiment: the ray of sunlight or electric light, _r_, passes through a quantity of sodium vapour, and is then decomposed by the prism; the spectrum produced is marked by the absence of light (or by a dark line) where the yellow line, y, was before noticed. these are the fundamental facts of spectroscopic analysis: sunlight is decomposable into a band of many colours, that is, into a spectrum; light emitted by a glowing vapour is characterized by the presence of coloured lines, each of which occupies a definite position with reference to the various parts of the solar spectrum; sunlight--or the electric light--when allowed to pass through a mass of vapour, furnishes a spectrum characterized by the absence of those bright lines, the presence of which marked the spectrum of the light obtained by strongly heating the vapour through which the sunlight has passed. the spectrum obtained by decomposing the light emitted by glowing vapour of potassium is characterized by the presence of certain lines--call them a and b lines. we are asked what element (or elements) is present in a certain gas presented to us: we pass a beam of white light through this gas and then through a prism, and we obtain a continuous spectrum (_i.e._ a spectrum of many colours like the solar spectrum) with two dark lines in the same positions as those occupied by the lines a and b. we therefore conclude that the gas in question contains vapour of potassium. the solar spectrum, when carefully examined, is found to be crossed by a very large number of fine black lines; the exact positions of many hundreds of these lines have been carefully determined, and, in most cases, they are found to correspond to the positions of various bright lines noticed in the spectra of the lights emitted by hot vapours of various elementary bodies. assume that the sun consists, broadly speaking, of an intensely hot and luminous central mass, formed to a large extent of the elementary substances which build up this earth, and that this central mass is surrounded by a cooler (but yet very hot) gaseous envelope of the same elements,--and we have a tolerably satisfactory explanation of the principal phenomena revealed by the spectroscopic study of the sun's light. on this assumption the central mass of glowing iron, chromium, magnesium, nickel, cobalt, hydrogen, etc., is sending out light; a portion of the light emitted by the glowing iron is quenched as it passes through a cloud of cooler iron vapour outside the central mass, a portion of the light emitted by the glowing chromium is quenched as it passes through a cloud of cooler chromium vapour, and so on; the black lines in the spectrum are the records of these various quenchings of this and that light. so far then the study of the solar spectrum appears to be tolerably simple, and this study generally confirms the proposition that the material of which the sun is composed is, broadly, identical with those forms of matter which we, on this earth, call the chemical elements. but whatever be the composition of the sun, it is, i think, evident that in dealing with a ray of light coming therefrom, we are dealing with a very complex phenomenon. according to the hypothesis which is now guiding us, the solar light which passes into our spectroscope has probably had its beginning in some central part of the sun, and has passed through very thick layers of hot metallic clouds, agitated perhaps by solar cyclones. could we examine the light coming from some defined part of the sun, we should probably obtain valuable information. during a solar eclipse red prominences are seen projecting beyond the dark shadow of the moon, which covers the sun's disc. analysis of the light emitted by these prominences has shown that they are phenomena essentially belonging to the sun itself, and that they consist of vast masses of intensely hot, glowing gaseous substances, among which hydrogen is present in large quantities. that these prominences are very hot, hotter than the average temperature of the ordinary solar atmosphere, is proved by the fact that the spectrum of the light coming from them is characterized by bright lines. by special arrangements which need not be discussed here, but which have been partly explained in "the astronomers" (see pp. , of that book), it has been shown that these prominences are in rapid motion: at one moment they shoot up to heights of many thousand miles, at another they recede towards the centre of the sun. we thus arrive at a picture of the solar atmosphere as consisting of layers of very hot gases, which are continually changing their relative positions and forms; sometimes ejections of intensely hot, glowing gases occur,--we call these prominences; sometimes down-rushes of gaseous matter occur,--we call these spots. among the substances which compose the gaseous layers we recognize hydrogen, iron, magnesium, sodium, nickel, chromium, etc., but we also find substances which can at present be distinguished only by means of the wave-lengths of the light which they emit; thus we have stuff, stuff, stuff, etc. let us now turn to another part of this subject. by a special arrangement of apparatus it is possible to observe the spectrum of the light emitted by a glowing vapour, parts of which are hotter than other parts, and to compare the lines in the spectrum of the light coming from the hottest parts with the lines in the spectrum of the light coming from the cooler parts of the vapour. if this is done for sodium vapour, certain lines are apparent in all the spectra, others only in the spectrum of the light coming from the hottest parts of the sodium vapour: the former lines are called "long lines," the latter "short lines." a rough representation of the long and short lines of sodium is given in fig. . [illustration: fig. .--long and short lines of sodium.] now, suppose that the lines in the spectrum of the light emitted by glowing manganese vapour have been carefully mapped, and classed as long and short lines: suppose that the same thing has been done for the iron lines: now let a little manganese be mixed with much iron, let the mixture be vaporized, and let the light which is emitted be decomposed by the prism of a spectroscope, it will be found that the long lines of manganese alone make their appearance; let a little more manganese be added to the mixture, and now some of the shorter lines due to manganese begin to appear in the spectrum. hence it has been concluded by lockyer that if the spectrum of the light emitted by the glowing vapour of any element--call it a--is free from the long lines of any other element--say element b--this second element is not present as an impurity in the specimen of element a which is being examined. lockyer has applied this conclusion to "purify" various elementary spectra. the spectrum of element a is carefully mapped, and the lines are divided into long and short lines, according as they are noticed in the spectrum of the light coming from all parts of the glowing vapour of a, or only in the spectrum of the light which comes from the hotter parts of that vapour. the spectra of elements b and c are similarly mapped and classified: then the three spectra are compared; the longest line in the spectrum of b is noted, if this line is found in the spectrum of a, it is marked with a negative sign--this means that so far as the evidence of this line goes b is present as an impurity in a; the next longest b line is searched for in the spectrum of a--if present it also is marked with a negative sign; a similar process of comparison and elimination is conducted with the spectra of a and c. in this way a "purified" spectrum of the light from a is obtained--a spectrum, that is, from which, according to lockyer, all lines due to the presence of small quantities of b and c as impurities in a have been eliminated. [illustration: fig. .] fig. is given in order to make this "purifying" process more clearly understood. but when this process has been completed there remain, in many cases, a few short lines common to two or more elementary spectra: such lines are called by lockyer _basic lines_. he supposes that these lines are due to light emitted by forms of matter simpler than our elements; he thinks that at very high temperatures some of the elements are decomposed, and that the _bases_ of these elements are produced and give out light, which light is analyzed by the spectroscope. such short basic lines are marked in the spectra represented in fig. with a positive sign. now, if the assumption made by lockyer be admitted, viz. that the short lines, or some of the short lines, which are coincident in the "purified" spectra of various elements, are really due to light emitted by forms of matter into which our so-called elements are decomposed at very high temperatures, it follows that such lines should become more prominent in the spectra of the light emitted by elements the higher the temperature to which these elements are raised. but we know (see p. ) that the prominences around the sun's disc are hotter than the average temperature of the solar atmosphere; hence the spectrum of the light coming from these prominences ought to be specially rich in "basic" lines: this supposition is confirmed by experiment. lockyer has also shown that it is the "basic," and not the long lines, which are especially affected in the spectra of light coming from those parts of the solar atmosphere which are subjected to the action of cyclones, _i.e._ which are at abnormally high temperatures. and finally, a very marked analogy has been established between the changes in the spectrum of the light emitted by a compound substance as the temperature is raised, and the substance is gradually decomposed into its elements, and the spectrum of the light emitted by a so-called elementary substance as the temperature of that substance is increased. but it may be urged that lockyer's method of "purifying" a spectrum is not satisfactory; that, although all the longer lines common to two spectra are eliminated, the coincident short lines which remain are due simply to very minute quantities of one element present as an impurity in the larger quantity of the other. further, it has been shown that several of the so-called "basic" lines are resolved, by spectroscopes of great dispersive power, into groups of two or more lines, which lines are not coincident in different spectra. and moreover it is possible to give a fairly satisfactory explanation of the phenomena of solar chemistry without the aid of the hypothesis that our elements are decomposed in the sun into simpler forms of matter. nevertheless this hypothesis has a certain amount of experimental evidence in its favour; it may be a true hypothesis. i do not think we are justified at present either in accepting it as the best guide to further research, or in wholly rejecting it. the researches to which this hypothesis has given rise have certainly thrown much light on the constitution of the sun and stars, and they have also been instrumental in forcing new views regarding the nature of the elements on the attention of chemists, and so of awakening them out of the slumber into which every class of men is so ready to fall. the tale told by the rays of light which travel to this earth from the sun and stars has not yet been fully read, but the parts which the chemist has spelt out seem to say that, although the forms of matter of which the earth is made are also those which compose the sun and stars, yet in the sun and stars some of the earthly elements are decomposed, and some of the earthly atoms are split into simpler forms. the tale, i say, told by the rays of light seems to bear this interpretation, but it is written in a language strange to the children of this earth, who can read it as yet but slowly; for the name given to the new science was "_ge-urania_, because its production was of earth and heaven. and it could not taste of death, by reason of its adoption into immortal palaces; but it was to know weakness, and reliance, and the shadow of human imbecility; and it went with a lame gait; but in its going it exceeded all mortal children in grace and swiftness." there are certain little particles so minute that at least sixty millions of them are required to compose the smallest portion of matter which can be seen by the help of a good microscope. some of these particles are vibrating around the edge of an orb a million times larger than the earth, but at a distance of about ninety millions of miles away. the student of science is told to search around the edge of the orb till he finds these particles, and having found them, to measure the rates of their vibrations; and as an instrument with which to do this he is given--a glass prism! but he has accomplished the task; he has found the minute particles, and he has measured their vibration-periods. chemistry is no longer confined to this earth: the chemist claims the visible universe as his laboratory, and the sunbeams as his servants. davy decomposed soda and potash by using the powerful instrument given him by volta; but the chemist to-day has thrown the element he is seeking to decompose into a crucible, which is a sun or a star, and awaits the result. the alchemists were right. there is a philosopher's stone; but that stone is itself a compound of labour, perseverance, and genius, and the gold which it produces is the gold of true knowledge, which shall never grow dim or fade away. chapter viii. summary and conclusion. we have thus traced some of the main paths along which chemistry has advanced since the day when, ceasing to be guided by the dreams of men who toiled with but a single idea in the midst of a world of strange and complex phenomena, she began to recognize that nature is complex but orderly, and so began to be a branch of true knowledge. in this review we have, i think, found that the remark made at the beginning of the introductory chapter is, on the whole, a just one. that the views of the alchemists, although sometimes very noble, were "vague and fanciful" is surely borne out by the quotations from their writings given in the first chapter. this period was followed by that wherein the accurate, but necessarily somewhat narrow conception of the lavoisierian chemistry prevailed. founded for the most part on the careful, painstaking, and quantitative study of one phenomenon--a very wide and far-reaching phenomenon, it is true--it was impossible that the classification introduced by the father of chemical science should be broad enough to include all the discoveries of those who came after him. but although this classification had of necessity to be revised and recast, the genius of lavoisier enunciated certain truths which have remained the common possession of every chemical system. by proving that however the forms of matter may be changed the mass remains unaltered, he for the first time made a science of chemistry possible. he defined "element" once for all, and thus swept away the fabric of dreams raised by the alchemists on the visionary foundation of _earth_, _air_, _fire_ and _water_, or of _mercury_, _sulphur_ and _salt_. by his example, he taught that weighings and measurements must be made before accurate knowledge of chemical reactions can be hoped for; and by his teaching about oxygen being _the acidifier_--although we know that this teaching was erroneous in many details--he showed the possibility of a system of classification of chemical substances being founded on the actually observed properties and composition of those substances. lavoisier gained these most important results by concentrating his attention on a few subjects of inquiry. that chemistry might become broad it was necessary that it should first of all become narrower. the period when the objects of the science were defined and some of its fundamental facts and conceptions were established, was succeeded, as we saw in our sketch, by that in which dalton departed somewhat from the method of investigation adopted by most masters in science, and by concentrating his great mental powers on facts belonging to one branch of natural knowledge, elaborated a simple but very comprehensive theory, which he applied to explain the facts belonging to another branch of science. chemistry was thus endowed with a grand and far-reaching conception, which has been developed and applied by successive generations of investigators: but we must not forget that it was the thorough, detailed work of black and lavoisier which made possible the great theory of dalton. at the time when dalton was thinking out his theory of atoms, davy was advancing as a conqueror through the rich domain which the discovery of volta had opened to chemistry. dalton, trained to rely on himself, surrounded from his youth by an atmosphere in which "sweetness and light" did not predominate, thrown on the world at an early age, and obliged to support himself by the drudgery of teaching when he would fain have been engaged in research, and at the same time--if we may judge from his life as recorded by his biographers--without the sustaining presence of such an ideal as could support the emotional part of his nature during this time of struggle,--dalton, we found, withdrew in great part from contact with other scientific workers, and communing only with himself, developed a theory which, while it showed him to be one in the chain of thinkers that begins in democritus and leucippus, was nevertheless stamped with the undeniable marks of his own individuality and genius, and at the same time was untouched by any of the hopes or fears, and unaffected by any of the passions, of our common humanity. davy, on the other hand, was surrounded from childhood by scenes of great natural beauty and variety, by contact with which he was incited to eager desire for knowledge, while at the same time his emotions remained fresh and sensitive to outward impressions. entering on the study of natural science when there was a pause in the march of discovery, but a pause presageful of fresh advances, he found outward circumstances singularly favourable to his success; seizing these favourable circumstances he made rapid advances. like lavoisier, he began his work by proving that there is no such thing in nature as transmutation, in the alchemical meaning of the term; as lavoisier had proved that water is not changed into earth, so did davy prove that acid and alkali are not produced by the action of the electric current on pure water. we have shortly traced the development of the electro-chemical theory which davy raised on the basis of experiment; we have seen how facts obliged him to doubt the accepted view of the composition of hydrochloric acid and chlorine, and how by the work he did on these subjects chemists have been finally convinced that an element is not a substance which _cannot be_, but a substance which _has not been_ decomposed, and how from this work has also arisen the modern theory of acids, bases and salts. we found that, by the labours of the great swede j. j. berzelius, the daltonian theory was confirmed by a vast series of accurate analyses, and, in conjunction with a modification of the electro-chemical theory of davy, was made the basis of a system of classification which endeavoured to include all chemical substances within its scope. the atom was the starting-point of the berzelian system, but that chemist viewed the atom as a dual structure the parts of which held together by reason of their opposite electrical polarities. berzelius, we saw, greatly improved the methods whereby atomic weights could be determined, and he recognized the importance of physical generalizations as aids in finding the atomic weights of chemical substances. but berzelius came to believe too implicitly in his own view of nature's working; his theory became too imperious. chemists found it easier to accept than to doubt an interpretation of facts which was in great part undeniably true, and which formed a central luminous conception, shedding light on the whole mass of details which, without it, seemed confused and without meaning. if the dualistic stronghold was to be carried, the attack should be impetuous, and should be led by men, not only of valour, but also of discretion. we found that two champions appeared, and that, aided by others who were scarcely inferior soldiers to themselves, they made the attack, and made it with success. but when the heat of the battle was over and the bitterness of the strife forgotten, it was found that, although many pinnacles of the dualistic castle had been shattered, the foundation and great part of the walls remained; and, strange to say, the men who led the attack were content that these should remain. the atom could no longer be regarded as always composed of two parts, but must be looked on rather as one whole, the properties of which are defined by the properties and arrangements of all its parts; but the conception of the atom as a structure, and the assurance that something could be inferred regarding that structure from a knowledge of the reactions and general properties of the whole, remained when dumas and liebig had replaced the dualism of berzelius by the unitary theory of modern chemistry; and these conceptions have remained to the present day, and are now ranked among the leading principles of chemical science; only we now speak of the "molecule" where berzelius spoke of the "atom." along with these advances made by dumas, liebig and others in rendering more accurate the general conception of atomic structure, we found that the recognition of the existence of more than one order of small particles was daily gaining ground in the minds of chemists. the distinction between what we now call atoms and molecules had been clearly stated by avogadro in ; but the times were not ripe. the mental surroundings of the chemists of that age did not allow them fully to appreciate the work of avogadro. the seed however was sown, and the harvest, although late, was plentiful. we saw that dumas accepted, with some hesitation, the distinction drawn by avogadro, but that failing to carry it to its legitimate conclusion, he did not reap the full benefit of his acceptance of the principle that the smallest particle of a substance which takes part in a physical change divides into smaller particles in those changes which we call chemical. to gerhardt and laurent we owe the full recognition, and acceptance as the foundation of chemical classification, of the atom as a particle of matter distinct from the molecule; they first distinctly placed the law of avogadro--"equal volumes of gases contain equal numbers of molecules"--in its true position as a law, which, resting on physical evidence and dynamical reasoning, is to be accepted by the chemist as the basis of his atomic theory. to the same chemists we are indebted for the formal introduction into chemical science of the conception of types, which, as we found, was developed by frankland, kekulé, and others, into the modern doctrine of equivalency of groups of elementary atoms. we saw that, in the use which he made of the laws of mitscherlich, and of dulong and petit, berzelius recognized the importance of the aid given by physical methods towards solving the atomic problems of chemistry; but among those who have most thoroughly availed themselves of such aids graham must always hold a foremost place. graham devoted the energies of his life to tracking the movements of atoms and molecules. he proved that gases pass through walls of solid materials, as they pass through spaces already occupied by other gases; and by measuring the rapidities of these movements he showed how it was possible to determine the rate of motion of a particle of gas so minute that a group of a hundred millions of them would be invisible to the unassisted vision. graham followed the molecules as in their journeyings they came into contact with animal and vegetable membranes; he found that these membranes presented an insuperable barrier to the passage of some molecules, while others passed easily through. he thus arrived at a division of matter into colloidal and crystalloidal. he showed what important applications of this division might be made in practical chemistry, he discussed some of the bearings of this division on the general theory of the molecular constitution of matter, and thus he opened the way which leads into a new territory rich in promise to him who is able to follow the footsteps of its discoverer. other investigators have followed on the general lines laid down by graham; connections, more or less precise, have been established between chemical and physical properties of various groups of compounds. it has been shown that the boiling points, melting points, expansibilities by heat, amounts of heat evolved during combustion, in some cases tinctorial powers of dye-stuffs, and other physical constants of groups of compounds, vary with variations in the nature, number and arrangements of the atoms in the molecules of these compounds. but although much good work has been done in this direction, our ignorance far exceeds our knowledge regarding the phenomena which lie on the borderlands between chemistry and physics. it is probably here that chemists look most for fresh discoveries of importance. as each branch of natural science becomes more subdivided, and as the quantity of facts to be stored in the mind becomes daily more crushing, the student finds an ever-increasing difficulty in passing beyond the range of his own subject, and in gaining a broad view of the relative importance of the facts and the theories which to him appear so essential. in the days when the foundation of chemistry was laid by black, priestley, lavoisier and dalton, and when the walls began to be raised by berzelius and davy, it was possible for one man to hold in his mental grasp the whole range of subjects which he studied. even when liebig and dumas built the fabric of organic chemistry the mass of facts to be considered was not so overpowering as it is now. but we have in great measure ourselves to blame; we have of late years too much fulfilled liebig's words, when he said, that for rearing the structure of organic chemistry masters were no longer required--workmen would suffice. and i think we have sometimes fallen into another error also. most of the builders of our science--notably lavoisier and davy, liebig and dumas--were men of wide general culture. chemistry was for them a branch of natural science; of late years it has too much tended to degenerate into a handicraft. these men had lofty aims; they recognized--davy perhaps more than any--the nobility of their calling. the laboratory was to them not merely a place where curious mixtures were made and strange substances obtained, or where elegant apparatus was exhibited and carefully prepared specimens were treasured; it was rather the entrance into the temple of nature, the place where day by day they sought for truth, where, amid much that was unpleasant and much that was necessary mechanical detail, glimpses were sometimes given them of the order, harmony and law which reign throughout the material universe. it was a place where, stopping in the work which to the outsider appeared so dull and even so trivial, they sometimes, listening with attentive ear, might catch the boom of the "mighty waters rolling evermore," and so might return refreshed to work again. chemistry was more poetical, more imaginative then than now; but without imagination no great work has been accomplished in science. when a student of science forgets that the particular branch of natural knowledge which he cultivates is part of a living and growing organism, and attempts to study it merely as a collection of facts, he has already esau-like sold his birthright for a mess of pottage; for is it not the privilege of the scientific student of nature always to work in the presence of "something which he can never know to the full, but which he is always going on to know"--to be ever encompassed about by the greatness of the subject which he seeks to know? does he not recognize that, although some of the greatest minds have made this study the object of their lives, the sum of what is known is yet but as a drop in the ocean? and has he not also been taught that every honest effort made to extend the boundaries of natural knowledge must advance that knowledge a little way? it is not easy to remember the greatness of the issues which depend on scientific work, when that work is carried on, as it too often is, solely with the desire to gain a formal and definite answer to some question of petty detail. "that low man seeks a little thing to do, sees it and does it: this high man, with a great thing to pursue, dies ere he knows it. "that low man goes on adding one to one, his hundred's soon hit: this high man, aiming at a million, misses a unit." index. a acids, connected by lavoisier with oxygen, ; boyle's and other early definitions, ; opposed in early medicine to alkalis, ; grouped, ; salts, ; "the primordial acid," ; oxygen not a necessary constituent, ; new division of acids by davy, ; acids of different basicity, ; modern conception of acids, . affinity, chemical, apparently suspended by electricity, ; history of term "affinity," ; tables of, ; dependent on electric states, . air, composition of, determined by cavendish, ; dalton's investigations, . alchemy, ; alchemical symbols of metals, ; quotations from alchemists, , ; alchemical poetry, . alcoates, . alkalis, ; fixed and volatile, ; mild and caustic, examined by black, ; connection with earths, ; name of "base" given by rouelle, ; gay-lussac's alkalizing principle, . ammonia, discovered by priestley, . atmolysis, . atomic theory, dawn of, ; early views of greek philosophers, ; of epicurus and lucretius, ; of newton and bernoulli, ; dalton's new views--combination in simple multiples, , _et seq._; the theory made known by dr. thomson, ; it is opposed at first by davy, ; dalton's rules for arriving at atomic weights, ; more accurately applied by berzelius, , ; diagrams of atoms, , ; the theory as carried out by gay-lussac and avogadro, , _et seq._; conception of the molecule, ; molecular and atomic weight, ; graham's work on molecular reactions, ; berzelius's dualistic views, ; they are attacked by dumas, ; conception of the compound radicle, ; laurent's unitary theory, ; modern conception of molecule, ; revision of atomic weights, ; equivalency of atoms, . avogadro, his elucidation of the atomic theory, , _et seq._; introduces the idea of molecules, ; law known as avogadro's law, . b base (of salts), ; basic lines in spectrum, . becher, john j., born at speyer, ; his three principles of metals, ; his principle of inflammability, ; his views on acids, . berthollet, analyzes ammonia, ; adheres to the lavoisierian theory of combustion, ; questions doctrine of fixity of composition, ; and necessary presence of oxygen in acids, ; shows variable nature of affinities, . berzelius, johann j., ; determines weights of elementary atoms, ; his birth and education, ; works at stockholm, ; his slight appliances and large discoveries, ; he reviews dalton's atomic theory, ; his views superseded by avogadro's generalization, ; he accepts law of isomorphism, ; and davy's discovery of chlorine, ; his views on affinity of atoms, ; his dual classification, ; works at organic chemistry, ; his dualism attacked by dumas, . black, joseph, born at bordeaux, ; his education, ; his thesis on magnesia and discovery of "fixed air," , _et seq._; inquiries into latent heat, ; professor at edinburgh, ; his death and character, , _et seq._; _resumé_ of his work, ; his examination of alkalis, . boyle, hon. robert, ; his "sceptical chymist," ; law known as "boyle's law," ; opposes doctrine of elementary principles, ; his definition of an acid, ; extends the knowledge of salts, . bromine, discovered by balard, . c carbonic acid gas, or "fixed air," studied by black, ; by priestley, , . cavendish, hon. henry, rediscovers hydrogen, , ; and composition of water and air, . chloral, } produced by liebig, composition determined by dumas, . chloroform,} chlorine, discovered by davy, ; replaces hydrogen in organic compounds, . colloids, . combination in multiple proportions, . combustion, studied by early chemists, (_vide_ "phlogistic theory"); studied by black, ; his views of lavoisier's theory, ; priestley's views of combustion, ; lavoisier's experiments, , _et seq._; liebig's combustion-tube, . compound radicle, ; the idea of substitution, , . conservation of mass, doctrine of, . crystallization, water of, . crystalloids, . d dalton, john, his birth and education, ; "answers to correspondents," ; his meteorological observations, ; teaches at manchester, ; colour-blind, ; pressures of gaseous mixtures, ; strives after general laws, ; first view of atomic theory, ; visits paris, ; honours conferred on him, , ; dies, ; consideration of atomic theory (which see), , _et seq._; his "new system of chemical philosophy," ; fixes atomic weight of hydrogen, ; small use he makes of books, ; inaccurate as an experimenter, ; his method compared with priestley's, . davy, sir humphry, ; opposes the atomic theory, ; accepts same, ; studies the chemical aspects of electricity, ; experiments on the acid and alkali said to be produced by electrolyzing water, ; apparent suspension of chemical affinities by action of electricity, ; discovers potassium, ; and sodium, ; the metallic bases of earths, ; proves the elementary nature of chlorine, ; davy's birth and youth, ; experiments on heat, ; his work at bristol, ; inhales gases, ; lectures at the royal institution, ; discovers iodine and invents safety-lamp, ; dies, . dialysis, . diffusion-rates of gases, ; distinguished from transpiration-rates, ; diffusion-rates of liquids, . dulong, his law of atomic heat, . dumas, jean b. a., birth and education, ; physiological studies, ; meets von humboldt, ; attacks the dualism of berzelius, ; dumas's vapour density process, ; ethers and alcohols, ; chlorine in connection with organic compounds, ; determines composition of chloral and chloroform, ; studies fermentation, ; member of the national assembly, ; takes office, . e earths, ; stahl's views, ; the connection between earths and alkalis, ; their metallic bases, , . economy of waste materials, . electric affinity, , . electricity, volta's battery, ; used to decompose water, ; new metals discovered by its help, . elements: old doctrine of elementary principles opposed by boyle, ; modern definition of element, (_vide_ "spectroscopic analysis"--basic lines, ). equivalency, conception of, . f fermentation, studied by dumas, . fourcroy, calls lavoisier's views "la chimie française,", g gay-lussac, , , , , . gerhardt, , . graham, thomas, early life, ; made master of the mint, ; his death, ; studies alcoates, ; formulates conception of acids of different basicity, ; considers hydrogen a metal, ; investigates phenomena observed by döbereiner, ; diffusion-rates of gases, ; of liquids, ; his atmolyzer, ; his dialyzer, ; studies movements and reactions of molecules, . h hales's experiments on gases, . heat, black's study of latent heat, ; specific heat, ; dalton lectures on, ; law of capacity for heat, ; heat as produced by friction, . helmholtz, ; vortex atoms, . hooke, robert, his "micographia," ; studies combustion, . humboldt, alexander von, assists liebig, ; and dumas, . hydrochloric acid discovered by priestley, ; a stumbling-block to lavoisierian chemists, ; studied by davy, . hydrogen, rediscovered by cavendish, ; experimented on by priestley, ; its atomic weight decided by dalton, ; graham considers it a metal, . i iodine, discovered by davy, . isomerism, . isomorphism, law of, . l laplace, assists lavoisier, . latent heat, black's theory of, . laurent, his unitary theory, , . lavoisier, antoine l., born at paris, ; confutes idea of transmutation, ; paper on calcination of tin, ; meets priestley, , ; his theory of combustion, , ; his chemical nomenclature, ; he is guillotined, ; _resumé_ of his work, ; his views on salts, , . liebig, justus, birth, ; humboldt and gay-lussac, ; his improved combustion-tube, ; studies the cyanates, ; distinction between organic and inorganic chemistry effaced, ; produces chloroform and chloral, ; benzoyl, ; he leaves giessen for munich, ; his practical and economic discoveries, ; death, ; his failure to discover bromine, . lockyer, his work with spectroscope, (and _vide_ "spectroscopic analysis"). m mayow, john, studies combustion, . metals, new, discovered by berzelius, ; by davy, ; hydrogen a metal, . meyer, his views on acids, . mitscherlich's law of isomorphism, . molecule, conception of, ; molecular weight, ; molecular mobility of gases, ; movements and reactions of molecules, ; modern conception of, . morveau, de, embraces lavoisier's views, . muriatic acid (_vide_ "hydrochloric acid,") . n nitric acid, discovered by priestley, ; produced by electrolysis, . nomenclature, lavoisier's system of, . o oil, principle of, . organic chemistry, worked at by berzelius, ; attempts to define it, ; loose application of the term, ; wöhler's manufacture of urea abolishes distinction of organic and inorganic chemistry, . oxygen discovered by priestley, ; lavoisier's experiments, ; it is viewed by him as an acidifier, , ; berthollet shows it not a necessary constituent of acids, (_vide_ "acids"). p paracelsus, ; his pamphlet, "tripus aureus," etc., . petit, . phlogistic theory, ; enunciated by stahl, ; abandoned by black, ; phlogiston described as a kind of motion, ; discovery of dephlogisticated air, ; the theory overthrown by lavoisier, . phosphoric acid, . pneumatic trough, invented by priestley, . potassium, discovered by davy, . prussic acid, discovered by berthollet, . priestley, joseph, born, ; bred for the ministry, ; writes on electricity, ; his pneumatic trough, ; discovers oxygen, ; meets lavoisier, , ; goes to birmingham, ; his experiments on hydrogen, ; his house burnt by rioters, ; emigrates to america, ; dies there, ; _resumé_ of his work, ; his method compared with that of dalton, . q quantitative analysis neglected by early chemists, ; first accurately employed by black, ; used by lavoisier, . r respiration explained by lavoisier, . revolution, french, its effect on priestley, ; lavoisier guillotined, . richter's equivalents of acids and bases, . ripley, canon, an alchemist, his poems, . rouelle, invents term "base," ; his studies on salts, . s salts, ; "principle of salt" opposed by boyle, ; earth or alkali the _base_ of salts, ; rouelle's inquiries, ; lavoisier's definition, ; considered as metallic derivatives of acids, ; alcoholic salts, . "sceptical chymist, the," by hon. robert boyle, - . shelburne, earl of, patron of priestley, ; to whom he grants an annuity, . spectroscopic analysis, ; lines in solar spectrum, ; the solar atmosphere, ; lockyer's mapping of the lines, ; basic lines, ; objections to his hypothesis, . stahl, george ernest, born at anspach, ; enunciates the phlogistic theory, , ; his "primordial acid," ; his essential property of earths, . sulphur dioxide, discovered by priestley, . sulphur salts, discovered by berzelius, . t transmutation, confuted by lavoisier, . transpiration of gases, . types, . v valentine, basil, an alchemist, ; his views on alkalis, . van helmont, . vitriols, . volta's electric pile, . w water, its composition discovered by cavendish, - ; nearly discovered by priestley, ; confirmed by lavoisier, ; decomposed by electricity, . weight of ultimate particles, , ; molecular and atomic, ; revision of atomic weights, . wöhler, his account of visit to berzelius, , , ; studies cyanates with liebig, ; results of his discovery as to urea, . wollaston, supports atomic theory, . printed by william clowes and sons, limited, london and beccles. legal chemistry. a guide to the detection of poisons, examination of tea, stains, etc., as applied to chemical jurisprudence. translated with additions from the french of a. naquet, _professor to the faculty of medicine of paris_. by j. p. battershall, nat. sc. d., f.c.s. _second edition, revised, with additions._ new york: d. van nostrand, publisher, murray street and warren street. . copyright. d. van nostrand. . transcriber's note: text originally marked up as bold is surrounded by *, text in italics by _. obvious printer errors have been corrected. a list of all other changes can be found at the end of the document. in the appendix of the book, only the most obvious errors of punctuation were remedied. preface. the importance of exact chemical analysis in a great variety of cases which come before the courts is now fully recognized, and the translation of this excellent little book on legal chemistry, by one of the most distinguished french chemists, will be appreciated by a large class of american readers who are not able to consult the original. while it is to be regretted that the author has not presented a much more complete work, there is an advantage in the compact form of this treatise which compensates, in some degree, for its brevity. the translator has greatly increased the value of the book by a few additions and his copious index, and especially by the lists of works and memoirs which he has appended; and while he could have further increased its value by additions from other authors, we recognize the weight of the considerations which induced him to present it in the form given to it by the author. some chapters will have very little value in this country at this day, but the translator could not, with propriety, omit anything contained in the original. c. f. chandler. preface to the second edition. the principal change to note in this edition of the legal chemistry is the addition of a chapter on tea and its adulteration. the general interest at present evinced concerning this species of sophistication appeared to call for a simple and concise method of examination which would include the requisite tests without entering upon an exhaustive treatment of the subject. the translator's practical experience in the testing of tea at the united states laboratory of this city has enabled him to make a few suggestions in this regard which, he trusts, may be of use to those interested in food-analysis. numerous additions have also been made to the bibliographical appendix. j. p. b. contents. page introduction methods of destruction of the organic substances by means of nitric acid " " sulphuric acid " " nitrate of potassa " " potassa and nitrate of lime " " potassa and nitric acid " " chlorate of potassa " " chlorine " " _aqua regia_ dialysis detection of poisons, the presence of which is suspected. detection of arsenic _method used prior to marsh's test_ _marsh's test_ _raspail's test_ _reinsch's test_ detection of antimony _flandin and danger's apparatus_ _naquet's apparatus_ detection of mercury _smithson's pile_ _flandin and danger's apparatus_ detection of phosphorus _orfila's method_ _mistcherlich's method_ _dusart's method, as modified by blondlot_ _fresenius and neubauer's method_ _detection of phosphorus by means of bisulphide of carbon_ _detection of phosphorous acid_ _estimation of phosphorus_ detection of acids _hydrochloric acid_ _nitric_ " _sulphuric acid_ _phosphoric_ " _oxalic_ " _acetic_ " _hydrocyanic_ " detection of alkalies and alkaline earths detection of chlorine, bromine and iodine _chlorine and bleaching chlorides_ _bromine_ _iodine_ detection of metals detection of alkaloids and some ill-defined organic substances _stas's method_ " " _as modified by otto_ " " " " _uslar and erdman_ _rodgers and girdwood's method_ _prollius's method_ _graham and hofman's method_ _application of dialysis in the detection of alkaloids_ _identification of the alkaloid_ _identification of digitaline, picrotoxine and colchicine_ method to be employed when no clew to the nature of the poison present can be obtained indicative tests determinative tests miscellaneous examinations determination of the nature and color of the hair and beard _determination of the color of the hair and beard_ _determination of the nature of the hair_ examination of fire-arms _the gun is provided with a flint-lock and was charged with ordinary powder_ _the gun is not provided with a flint-lock_ detection of human remains in the ashes of a fire-place examination of writings examination of writings, in cases where a sympathetic ink has been used falsification of coins and alloys examination of alimentary and pharmaceutical substances _flour and bread_ _fixed oils_ _a olive oil intended for table use_ _b olive oil intended for manufacturing purposes_ _c hempseed oil_ _tea_ _milk_ _wine_ _vinegar_ _sulphate of quinine_ examination of blood stains examination of spermatic stains appendix books of toxicology, etc. memoirs on toxicology, etc. index legal chemistry. the term legal chemistry is applied to that branch of the science which has for its office the solution of problems proposed in the interest of justice. these most frequently relate to cases of poisoning. when the subject of the symptoms or anatomical lesions produced by the reception of a poison is under consideration, the services of a medical expert are resorted to; but when the presence or absence of a poison in the organs of a body, in the _egesta_ of an invalid or elsewhere is to be demonstrated, recourse is had to the legal chemist. investigations of this character require great practice in manipulation, and, however well the methods of analysis may be described in the works on the subject, there would be great danger of committing errors were the examination executed by an inexperienced person. the detection of poisons, although perhaps the most important, is not the only subject that may come within the province of the legal chemist; indeed, it would be somewhat difficult to define, _a priori_, the multitude of questions that might arise. in addition to cases of supposed poisoning, the following researches are most often required: . the examination of fire-arms. . the analysis of ashes, in cases where the destruction of a human body is suspected. . the detection of alteration of writings, and of falsification of coins and precious alloys. . the analysis of alimentary substances. . the examination of stains produced by blood and by the spermatic fluid. each of these researches justly demands a more extended consideration than the limits of this work would permit. the several subjects will be treated as briefly as possible, and at the same time, so as to convey an exact idea of the methods employed, leaving to the expert the selection of the particular one adapted to the case under investigation. we will first mention the methods used in the search for toxical substances. the poisons employed for criminal purposes are sometimes met with in a free state, either in the stomach or intestines of the deceased person, or in the bottles discovered in the room of the criminal or the victim. under these circumstances, it is only necessary to establish their identity by means of their chemical properties, as directed in the general treatises on chemistry, or by their botanical, or zoological character, in case a vegetable or animal poison, such as cantharides, has been administered. examinations of this class are extremely simple, the analysis of the substances found, confined to a few characteristic reactions, being a matter of no great difficulty. we will not here dwell longer upon this subject, inasmuch as the analytical methods used are identical with those employed in more complicated cases, with the sole difference that, instead of performing minute and laborious operations in order to extract the poisons from the organs in which they are contained, with a view of their subsequent identification, we proceed at once to establish their identity. the directions given in regard to complicated investigations apply, therefore, equally well to cases of a more simple nature. the detection of a poison mixed with the organic substances encountered in the stomach, or absorbed by, and intimately united with the tissues of the various organs is more difficult. if, however, other information than chemical can be obtained, indicating the poison supposed to be present, and the presence or absence of this one poison is the only thing to be determined, positive methods exist which admit of a speedy solution of the question. when, on the other hand, the chemical expert has not the advantage of extraneous information, but is simply asked,--whether the case be one of poisoning?--nothing being specified as to the nature of the poison used, the difficulty of his task is greatly increased. up to the present time, the works on toxicology have, it is true, given excellent special tests for the detection of particular poisons; but none have contained a reliable general method, which the chemical expert could use with the certainty of omitting nothing. impressed with this need, we proposed, in , in an inaugural dissertation then presented to the faculty of medicine, a general method, which, after some slight modifications, is now reproduced. the special methods which allow of the detection of various individual poisons will, however, first be indicated. in cases where the poison is mixed with organic matter, the latter must be removed as the first step in the investigation, as otherwise the reactions characteristic of the poison searched for would be obscured. when the poison itself is an organic substance, this separation is effected by processes modified according to the circumstances. if the detection or isolation of a metallic poison is to be accomplished, the most simple method consists in the destruction of the organic substances. the various methods for effecting this decomposition will now be described. i. methods of destruction of the organic substances. by means of nitric acid. in order to destroy the organic matters by this process, a quantity of nitric acid equal to one and a half times the weight of the substances taken is heated in a porcelain evaporating dish, the amount of acid being increased to four or six times that of the organic substances if these comprise the brains or liver. as soon as the acid becomes warm, the suspected organs, which have previously been cut into pieces, are added in successive portions: the organs become rapidly disintegrated, brownish-red vapors being evolved. when all is brought into solution, the evaporation is completed and the carbonaceous residue obtained separated from the dish and treated either with water, or with water acidulated with nitric acid, according to the nature of the poison supposed to be present. several objections to this method exist, the most serious of which is based upon the fact that the carbonaceous residue, containing, as it may, nitric acid, readily takes fire and may therefore be consumed, or projected from the vessel. this objection is a grave one, and is not always entirely removed by the continual stirring of the materials. according to _m. filhol_, the addition of to drops of sulphuric acid to the nitric acid taken obviates the difficulty; not having personally tested the question we cannot pronounce upon it. if it be the case, this process is an advantageous one, as it is not limited in its application, but can be used in the separation of all mineral poisons. by means of sulphuric acid. the organic matter to be decomposed is heated with about one-fifth of its weight of concentrated sulphuric acid, the complete solution of the materials being thus accomplished. the excess of acid is next removed by heating until a spongy carbonaceous mass remains. the further treatment of this residue depends upon the nature of the poison supposed to be present. if the sulphate of the suspected poison is a soluble and stable compound, the residue is directly treated with water; if, on the contrary, there is reason to think that the sulphate has suffered decomposition, the mass is taken up with dilute nitric acid; if, finally, the presence of arsenic is suspected, the residue is moistened with nitric acid, in order to convert this body into arsenic acid. the acid is afterwards removed by evaporation, the well pulverized residue boiled with distilled water, and the solution then filtered. this method, when applied in the detection of arsenic, is objectionable in that the carbonaceous residue, in contact with sulphuric acid, almost invariably contains sulphurous acid, detected by means of permanganate of potassa. this acid, being reduced in the presence of hydrogen, would cause the formation of insoluble sulphide of arsenic, and in this way prevent the detection of small amounts of arsenic by the use of marsh's apparatus. _m. gaultier de claubry_, indeed, states that he has not been able to detect the presence of sulphurous acid in the carbonaceous residue; but one affirmative result would, in this case, outweigh twenty negative experiments. a further objection to this process consists in the fact that the materials to be destroyed almost always contain chlorides, which, in presence of sulphuric acid and an arsenical compound, might determine the formation of chloride of arsenic, a volatile body, and therefore one easily lost. this difficulty is doubtless of a less serious nature than the preceding, as the operation can be performed in a closed vessel provided with a receiver which admits of the condensation of the evolved vapors; but even then the process would be prolonged. the above method is still again objectionable on account of its too limited application, it being serviceable almost exclusively in cases where the poisoning has been caused by arsenic, for, if applied in other instances, a subsequent treatment would be necessary in order to redissolve the metal separated from its decomposed sulphate. by means of nitrate of potassa. this method was formerly executed as follows: nitrate of potassa was fused in a crucible, and the substances to be destroyed added in small portions to the fused mass. the organic matter soon acquired a pure white color; owing, however, to the imperfect admixture of the organic matter with the salt used for its decomposition, it was necessary to take a large excess of the latter. the following process, suggested by _m. orfila_, remedies this inconvenience: the organs are placed in an evaporating dish, together with one tenth of their weight of caustic potassa, and a quantity of water varying with the weight of the substances taken. an amount of nitrate of potassa equal to twice the weight of the organic matter is next added, and the mixture evaporated to dryness. the residue is then thrown by fragments into a hessian crucible heated to redness, the portions first taken being allowed to become perfectly white before more is added. whichever process has been employed, the fused mass is decanted into a porcelain crucible, which has previously been heated in order to avoid danger of breakage. the portion remaining in the vessel is taken up by boiling with a small quantity of distilled water, and the solution so obtained likewise added to the crucible. the mass is then heated with sulphuric acid until all nitrous fumes are expelled, as these could give rise to an explosion, when, in the search for arsenic, the substance is introduced into marsh's apparatus. as soon as the nitric acid is completely expelled, the liquid is allowed to cool; the greater portion of the sulphate of potassa formed now separating out in crystals. the fluid is next filtered and the crystalline salt remaining on the filter, washed, at first with a little distilled water, then with absolute alcohol, which is subsequently removed from the filtrate by boiling. this method is scarcely applicable otherwise than in the detection of arsenic, as in other instances the presence of a large amount of sulphate of potassa would be liable to affect the nicety of the reactions afterwards used. its application, even in the search for arsenic, is not to be strongly recommended; on the contrary, the separation of the potassa salt by filtration is indispensable, as otherwise a double salt of zinc and potassium, which might be formed, being deposited upon the zinc used in marsh's apparatus, would prevent the disengagement of hydrogen, and every chemist is too well aware of the difficulty of thoroughly washing a precipitate, not to fear the possible loss of arsenic by this operation. by means of potassa and nitrate of lime. in this method the organic materials are heated with water and to per cent. of caustic potassa. as soon as disintegration is completed, nitrate of lime is added, and the mixture evaporated to dryness. a glowing coal is then placed upon the carbonaceous residue obtained: the mass, undergoing combustion, leaves a perfectly white residue. this residue dissolves in hydrochloric acid to a clear fluid which is then examined for poisons. the above process possesses the undeniable advantage of completely destroying the organic substances, at the same time avoiding the introduction of sulphate of potassa, the presence of which impairs the usefulness of the preceding method; but it necessitates the presence of numerous foreign bodies in the substance to be analysed, and this should be avoided. the _absolute purity_ of reagents is not always to be attained, and the results of an analysis are the more certain, in proportion as they are less numerous and more easily purified. by means of potassa and nitric acid. it has been proposed, instead of using nitrate of lime, to dissolve the organic matter in potassa and then saturate the fluid with nitric acid. this method is evidently more complicated than the simple treatment with nitrate of potassa, and possesses, moreover, no advantages over the latter process. by means of chlorate of potassa. the organic materials are treated with an equal weight of pure hydrochloric acid, and water added, so as to form a clear pulp. this being accomplished, two grammes of chlorate of potassa are added to the mixture at intervals of about five minutes. the fluid is next filtered, and the insoluble residue remaining on the filter washed until the wash-water ceases to exhibit an acid reaction. the filtrate is then evaporated, an aqueous solution of sulphurous acid added, until the odor of this reagent remains distinctly perceptible, and the excess of the acid removed by boiling the solution for about an hour. the fluid is now adapted to further examination for arsenic, or other metallic poisons. this method is one of the best in use, both chlorate of potassa and hydrochloric acid being reagents easily procured in a state of great purity; their use, however, is liable to the objection that they convert silver and lead into insoluble chlorides. by means of chlorine. _m. jacquelain_ suggests, in the search for arsenic, the decomposition of the organic matters by means of a current of chlorine, and recommends the following process: the organic substances are bruised in a mortar and then macerated with water. the fluid so obtained, in which the organic matter is held suspended, is next placed in a flask into which a current of chlorine is passed until all the organic matter is deposited in colorless flakes on the bottom of the vessel. the flask is then well closed and allowed to stand for hours, when the odor of the gas should still be perceptible. the fluid is now filtered, the filtrate concentrated by heating in a vessel which permits of the preservation of the volatile chloride of arsenic possibly present, and then examined for poisons. this process fails to possess the degree of generality desirable, and presents the disadvantage of requiring considerable time for its execution. by means of aqua regia. this method is exceedingly simple: _aqua regia_ (a mixture of two parts of hydrochloric and one part of nitric acids) is placed in a tubular retort provided with a receiver, and the organic materials, which have previously been cut into small pieces, added; the reaction commences immediately; if it is not sufficiently active, it is accelerated by a gentle heat: lively effervescence now occurs, and the destruction of all non-oleaginous substances is soon accomplished. the latter substances alone are not immediately decomposed by _aqua regia_, which attacks them only after prolonged action. as soon as the operation is concluded, the apparatus is removed from the fire and taken apart. the fluid condensed in the receiver is added to that remaining in the retort, and the whole thoroughly cooled in an open dish. the fatty matters now form a solid crust upon the surface of the fluid, which is removed and washed with distilled water, and, the washings being added to the rest of the solution, the latter is directly examined for metallic poisons. it is recommended by _gaultier de claubry_, in cases where the detection of arsenic is desired, to saturate and afterwards boil the suspected fluid with sulphuric acid, in order to remove the nitric and hydrochloric acids present. dialysis. the application of the dialytic method was first proposed by _graham_. by its use we are enabled to distinguish between two large classes of bodies, viz., _colloids_ and _crystalloids_. albumen, gelatine, and analogous substances are typical of colloid bodies; crystalloid substances, on the other hand, are those that are capable of crystallization, either directly or in their compounds, or, in case they are fluids, would possess this property when brought to the solid state. graham discovered that when an aqueous solution containing a mixture of colloid and crystalloid substances is placed in a vessel having for its bottom a piece of parchment or animal membrane, and this is immersed in a larger vessel filled with water, all of the crystalloids contained in the first vessel transverse the porous membrane and are to be found in the larger vessel, the colloid bodies being retained above the membrane. the organic matter to be eliminated in toxicological researches being colloids, and the poisons usually employed being crystalloids, the value of dialysis as a method of separation is evident. the process is executed as follows: [illustration: fig. .] a wooden,--or better, a gutta-percha--cylinder (fig. ), cubic centimetres in height and from to c. c. in diameter, is employed. a piece of moistened parchment is securely attached to one of the openings of the cylinder, which, upon drying, shrinks and completely closes the aperture. if its continuity becomes impaired, the pores of the membrane should be covered with the white of an egg which is subsequently coagulated by the application of heat. the organs previously cut into small pieces, or the materials found in the alimentary canal, etc., after having been allowed to digest for hours in water at °[a]--or, in dilute acids, if the presence of an alkaloid is suspected,--are then placed in the upper vessel, which is termed the dialyser. the whole should form a layer not over cubic centimetres in height. the dialyser is next placed in the larger vessel filled with distilled water. in about hours three-quarters of the crystalloid substances present will have passed into the lower vessel. the solution is then evaporated over a water-bath, and submitted to analysis. the portion remaining in the dialyser is decomposed by one of the methods previously described, in order to effect the detection of any poisonous substances possibly present. instead of the above apparatus, the one represented in fig. can be employed. the fluid under examination is placed in a bell-shaped jar, open at the top and closed below with a piece of parchment, which is then suspended in the centre of a larger vessel containing water. in other respects the operation is performed in the same manner as with the apparatus represented in fig. . [illustration: fig. .] [a] the degrees of temperature given in the text refer to the centigrade thermometer; their equivalents on the fahrenheit scale can be obtained by means of the formula: / c° + = f°. --_trans._ ii. detection of poisons, the presence of which is suspected. detection of arsenic. it is frequently required, in chemical jurisprudence, to institute a search for arsenic in the remains of a deceased person, whose death is supposed to have been caused by the reception of a poison. under these circumstances the poison is mixed with a mass of substances which would obscure its characteristic properties, and it becomes necessary, in order to accomplish its identification, to isolate it, and then, by decisive reactions, determine its character. three methods exist which permit of this result; they are: st. the method used prior to marsh's test. nd. marsh's test. rd. a method more recent than marsh's, proposed by _m. raspail_. method used prior to marsh's test. the materials supposed to contain arsenic are boiled in water which has been rendered strongly alkaline by the addition of pure potassa. the fluid is then filtered, an excess of hydrochloric acid added, and a current of sulphuretted hydrogen conducted through it. if arsenic be present in the suspected fluid, it is soon precipitated as a yellow sulphide. in dilute solutions the formation of the precipitate fails to take place immediately, and only a yellow coloration of the fluid is perceptible; upon slightly boiling the solution, however, the precipitation of the sulphide is soon induced. the precipitate is collected on a filter, well washed with boiling water, and then removed, if present in a quantity sufficient to admit of this operation. it is next dissolved in ammonia,[b] and the solution so obtained subsequently evaporated to dryness on a watch-glass. the residue of sulphide of arsenic is placed in a tube closed at one end containing nitrate of potassa in a state of fusion: it is decomposed by this treatment into a mixture of sulphate and arsenate of potassa, the reaction being completed in about fifteen minutes. the mixture is now dissolved in water, and lime water added to the solution: a precipitate of arsenate of lime is formed, which is separated from the fluid by filtration, dried, mixed with charcoal, and introduced into a second tube. a few pieces of charcoal are then placed in the tube adjoining the mixture and exposed to a red heat, the part of the tube containing the arsenical compound being also heated. by this operation the arsenic acid is reduced to arsenic, which is deposited upon the cold portion of the tube in the form of a metallic mirror. this mirror is then identified by subsequent reactions. the method just described is no longer in use, although the precipitation of the arsenic by sulphuretted hydrogen is still often resorted to in its separation from the other metals with which it may be mixed. the destruction of the organic substances is, however, accomplished by means of chlorate of potassa and hydrochloric acid. to insure the complete precipitation of the arsenic, it is advisable to conduct sulphuretted hydrogen through the solution, at a temperature of ° for twelve hours, and then allow the fluid to remain in a moderately warm place, until the odor of the gas is no longer perceptible, the vessel being simply covered with a piece of paper. the precipitate is next freed from the other metals possibly present, as directed in the general method of analysis, collected on a filter, and dissolved in ammonia. the ammoniacal solution is evaporated on a watch crystal, as previously described, and the residuary sulphide reduced to metallic arsenic. this reduction is effected by a process somewhat different from the one previously mentioned: the residue is fused, in a current of carbonic acid gas, with a mixture of carbonate of soda and cyanide of potassium. the apparatus employed is represented in fig. : _a_, is an apparatus producing a constant supply of carbonic acid. upon opening mohr's clamp, _g_, the gas passes into the flask _h_, which contains sulphuric acid; it is then conducted, by means of the tube _i_, into the reduction tube _k_, which has an interior diameter of mm. this tube is represented, in half size, in fig . [b] the sulphur, usually accompanying the precipitate of sulphide of arsenic, is insoluble in ammonia.--_trans._ [illustration: fig. .] [illustration: fig. .] the reduction is performed as follows: the sulphide of arsenic is ground in a small mortar, previously warmed, together with parts of a mixture consisting of parts of carbonate of soda and part of cyanide of potassium, both salts being perfectly dry. the powder thus obtained is placed upon a piece of paper rolled in the form of a gutter, and introduced into the reduction tube. the latter is then turned half round its axis, so as to cause the mixture to fall in _de_ without soiling the other parts of the tube. the paper is now withdrawn and the apparatus mounted. upon opening the clamp _g_, and strongly heating the mixture by either the flame of a gas or an alcohol lamp, a mirror-like ring of metallic arsenic is deposited at _h_, if this poison be present in the substances under examination. when the coating is too minute to permit of perfect identification, it should be driven by heat to a thinner part of the tube; in this way it is rendered easily visible, being condensed upon a smaller space. the above process possesses the advantage of not allowing arsenic to be confounded with any other body; it also permits of a quantitative estimation of the poison present. for this purpose, it is only necessary to previously weigh the watch-crystal, upon which the ammoniacal solution of sulphide of arsenic was evaporated, and to determine its increased weight after the evaporation; the difference of the two weighings multiplied by . , gives the corresponding weight of arsenious acid, and by . , the weight of the corresponding amount of metallic arsenic. marsh's test. marsh's test is based upon the reduction of arsenious and arsenic acids by nascent hydrogen, and the subsequent transformation of these bodies into water and arsenetted hydrogen, a compound from which the arsenic can be readily isolated. when pure hydrogen is generated in a flask having two openings, one of which is provided with a perforated cork through which a safety-tube passes, the other with a tube bent at a right angle and drawn out to a small point at the free extremity, the evolved gas, if ignited, burns with a pale non-luminous flame. the air should be completely expelled from the apparatus before igniting the gas. upon bringing a cold porcelain saucer in contact with the point of the flame, only water is formed. if, however, a small quantity of a solution containing arsenious or arsenic acids is introduced into the apparatus by means of the safety-tube, arsenetted hydrogen is produced. this gas burns with a bright flame, yielding fumes of arsenious acid. in case a large amount of the poison is present, it can be recognized by the appearance of the flame, and by inclining a glass tube towards it upon which a portion of the arsenious acid becomes deposited. these indications are, however, not distinguishable in presence of only a small amount of arsenic, and the following distinctive properties of the gas should be verified: st. at an elevated temperature it is decomposed into its two constituent elements. [illustration: fig. .] [illustration: fig. .] nd. the combustibility of the constituents differs: the arsenic being less combustible than the hydrogen, begins to burn only after the complete consumption of the latter body has taken place. for this reason the flame (fig. ) is composed of a dark portion _o_ and a luminous portion _i_, which surrounds the first. the maximum temperature exists in _o_ at the point of union of the two parts of the flame. owing to an insufficient supply of oxygen, the complete combustion of the arsenic in this part of the flame is impossible, and if it be intersected by the cold surface _a b_, that body is deposited as a brown spot, possessing a metallic lustre. the metallic deposit originates, therefore, from the decomposition of the arsenetted hydrogen by heat and from its incomplete combustion. if the spot is not large, it fails to exhibit a metallic lustre; an experienced chemist, however, will be able to identify it by the aid of proper tests. spots are sometimes obtained when the substance under examination does not contain the least trace of arsenic. these may be caused by antimony or by a portion of the zinc salt in the generating flask being carried over by the gaseous current. this difficulty is remedied by giving the apparatus the form represented in fig. . _a_ is the flask in which the gas is generated. the delivery-tube _i_ connects with a second tube _h_, filled with asbestus or cotton; this is united by means of a cork with a third tube _c_, made of bohemian glass. the latter tube is quite long, and terminates in a jet at its free end, enclosed in tin-foil;[c] it passes through the sheet-iron furnace _r_, supported upon _g_. the screen _d_ protects the portion _d e_ of the tube _c_ from the heat. the gas disengaged is ignited at _e_ and the porcelain dish _p_ is held by the hand in contact with the flame. the apparatus being mounted, zinc, water and some sulphuric acid are placed in the generating flask,[d] and the solution containing arsenious acid added: the evolution of gas commences immediately. the tube _h_ serves to retain any liquids that may be held suspended. the gas then passes through the part _c d_ of the tube _c_, which is heated by placing a few live coals upon the furnace _r_. the greater portion of the arsenetted hydrogen is decomposed here, and is deposited on the cold part of the tube, in a mirror-like ring. the small quantity of gas that escapes decomposition, if ignited at _e_, produces a metallic spot on the dish _p_. in order to determine that the spots are due to the presence of arsenic, and not produced by antimony, the following tests should be applied: [c] the fusing of the point of the tube is also prevented by platinizing it. the tube is drawn out, its end roughened by filing, and then immersed in solution of bichloride of platinum, so that a drop or two of the fluid adheres. the point, upon heating, now acquires a fine metallic lustre, and by repeating the operation a few times a good coating of platinum is produced both on the exterior and interior of the tube.--_trans._ [d] the addition of a few drops of solution of bichloride of platinum to the mixture of zinc, water and sulphuric acid is advisable.--_trans._ . the color of the spots is distinctive: arsenical spots are brown and exhibit a metallic lustre, whereas those originating from antimony possess a black color, especially near their border. this difference is, however, not perceptible when the deposits have a large surface. . if the mirror be arsenical, it is readily volatilized from one part of the tube to another, when the latter is heated, and a current of hydrogen, or carbonic acid gas made to pass through it. spots that are due to the presence of antimony are much less volatile. . if the tube is held in an inclined position so that a current of air traverses it, and the part containing the arsenical mirror heated, the arsenic oxidizes and arsenious acid is sublimed and deposited higher up in the tube in the form of a ring, which exhibits octahedral crystals when examined with a magnifying glass. this ring should be further tested as follows: _a._ if it is dissolved in a drop of hydrochloric acid and a solution of sulphuretted hydrogen added, a yellow precipitate of sulphide of arsenic is formed. this compound is soluble in ammonia and in alkaline sulphides, but insoluble in hydrochloric acid. _b._ if the ring is dissolved in pure water and an ammoniacal solution of sulphate of copper added, a beautiful green precipitate ("_scheele's green_"), consisting of arsenite of copper, is produced. . when produced by arsenic the spots are soluble in nitric acid, and upon evaporating the solution so obtained to dryness, a residue of arsenic acid, which is easily soluble in water, remains. if an ammoniacal solution of nitrate of silver is added to the aqueous solution of the residue, a brick-red precipitate is produced. spots consisting of antimony give, when treated with nitric acid, a residue of an intermediate oxide, insoluble in water. . upon treating the spots with a drop of solution of sulphide of ammonium, the sulphide of the metal present is formed: if sulphide of arsenic is produced its properties, as enumerated above, can be recognized. it may be added that the sulphide of antimony formed is soluble in hydrochloric acid, and possesses an orange red color, whereas sulphide of arsenic is yellow. . when spots originating from arsenic are treated with a solution of hypochlorite of soda (prepared by passing chlorine into solution of carbonate of soda), they are immediately dissolved; if, on the other hand, they are produced by antimony, they remain unaltered by this treatment. such are the properties exhibited by soluble compounds of arsenic when treated by marsh's process; the following precautions are, however, necessary when this test is made use of in medico-legal examinations. . if small white gritty particles, resembling arsenious acid, are discovered in the stomach or intestines, they are directly introduced into marsh's apparatus. when this is not the case, the destruction of the organic matter is indispensable even though, instead of the organs themselves, the contents of the alimentary canal are taken. in the latter instance, the solids are separated from the fluids present by filtration, the solution evaporated to dryness and the residue united with the solid portion; the organic matter is then destroyed by one of the methods previously described. in the special case of arsenic, the separation of the poison from the accompanying organic materials can be accomplished by a process not yet mentioned which may prove to be of service. the suspected substances are distilled with common salt and concentrated sulphuric acid. by this operation the arsenic is converted into a volatile chloride which distils over. the poison is isolated by treating this compound with water, by which it is decomposed into hydrochloric and arsenious acids. we must give preference, however, to the method by means of chlorate of potassa and hydrochloric acid. . the solution having been obtained in a condition suitable for examination, the air is completely expelled from the apparatus by allowing the gas to evolve for some time, and the suspected fluid then introduced into the generating flask. danger of explosion would be incurred were the gas ignited when mixed with air.[e] [e] the effervescence of the mixture is prevented by _slowly_ adding the arsenical solution to the generating flask. in order to avoid loss of arsenetted hydrogen, the cold dish should be directly applied to the flame even before the introduction of the suspected solution, and its position changed at short intervals, so as to allow the deposit to be formed on different parts.-_trans._ . it is indispensable, in applying this test, to have a second apparatus in which only the reagents necessary to generate hydrogen are placed: in this way, if no spots are now produced by the use of the second apparatus, it is certain that those obtained when the first apparatus is employed do not originate from impurities present in the reagents used. it has come under the author's observation, however, that a sheet of zinc sometimes contains arsenic in one part and not in another; in fact, the shavings of this metal, as purchased for laboratory use, are often taken from lots previously collected, and may therefore have been prepared from several different sheets. if this be the case, it is supposable that the zinc used in the second apparatus may be free from arsenic, whereas the metal with which the suspected solution is brought in contact may contain this poison; serious danger would then exist of finding indications of the presence of arsenic in materials that did not originally contain a trace of the metal. in order to obviate this important objection, which might possibly place a human life in jeopardy, we propose the following modifications: pure mercury is distilled and its absolute purity established. as the metal is a fluid and is therefore homogeneous, it is evident if one portion be found pure, the entire mass is so. sodium is then fused under oil of naphtha, in order to cause the complete admixture of its particles, and the purity of the fused metal in regard to arsenic tested. an amalgam is next prepared by uniting the mercury and sodium. this is eminently adapted to toxicological investigations: in order to generate a supply of very pure hydrogen, it is only necessary to place the amalgam in water kept slightly acid by the addition of a few drops of sulphuric acid, by means of which the disengagement of gas is rendered more energetic.[f] [f] owing to the impurities often occurring in zinc, the use of distilled magnesium in marsh's apparatus has also been suggested. this metal is now to be obtained in a state of great purity; it is, however, sometimes contaminated with silicium, which body likewise gives rise to a metallic deposit, but one that is readily distinguished from arsenical spots by its insolubility in nitric acid, _aqua regia_, and in hypochlorite of soda. the presence of magnesium causes the precipitation of the non-volatile metals possibly contained in the fluid tested for arsenic.--_trans._ it should be borne in mind that the solution introduced into marsh's apparatus must not contain organic substances, and that, in case their destruction has been accomplished by means of nitric acid all traces of this compound are to be removed. the sulphuric acid used should also be completely freed from nitrous vapors. according to _m. blondeau_, nascent hydrogen in the presence of nitrous compounds converts the acids of arsenic not into arsenetted hydrogen (as h{ }), but into the _solid_ arsenide of hydrogen (as{ } h{ }). this latter compound, upon which pure nascent hydrogen has no effect, is transformed into gaseous arsenetted hydrogen by the simultaneous action of nascent hydrogen and organic substances. these facts are of the greatest importance, for they might possibly cause a loss of arsenic when it is present, as well as determine its discovery when it is absent. the first case is supposable: should traces of nitric acid remain in the solution, the arsenic would be transformed into solid arsenide of hydrogen and its detection rendered impossible. the second case may also occur: if the zinc placed in the apparatus contains arsenic, and the sulphuric acid used contains nitrous compounds, the evolved gas will fail to exhibit any evidence of the presence of arsenic, owing to the formation of the solid arsenide of hydrogen. upon adding the suspected solution, which, perchance, may still contain organic substances, this arsenide is converted into arsenetted hydrogen, and the presence of arsenic will be detected, although the solution under examination was originally free from this metal. raspail's method. m. raspail suggests the following method for detecting arsenic: the surface of a brass plate is rasped by filing. in this condition the plate may be regarded as an innumerable quantity of voltaic elements, formed by the juxtaposition of the molecules of zinc and copper. the suspected materials are boiled with caustic potassa, the solution filtered, a drop of the filtrate placed upon the brass plate, and a drop of chlorine water added. if the plate is then allowed to stand for a moment and the substance under examination contains arsenic, a mirror-like spot is soon deposited upon its surface. in order to avoid confounding this deposit with those produced by other metals, the substitution of granulated brass for the plate is in some cases advisable. the granulated metal is dipped successively in the suspected solution and in chlorine water. the granules retain a small quantity of the solutions and, owing to the action of the chlorine water, become covered with metallic spots, if arsenic be present. they are then dried, placed in a tube closed at one end, and exposed to the heat of an alcohol lamp. in case the spots are arsenical, the metal volatilizes and condenses in a ring upon the cold part of the tube, which is submitted to the tests previously described. this method can hardly be of great service, inasmuch as it extracts the poison from but a very small portion of the solution containing it: we have not, however, personally tested its merits.[g] [g] the omission in the text of reinsch's test should be supplied. this test is based upon the fact that when solutions of arsenious acid or an arsenide are acidulated with hydrochloric acid and boiled with metallic copper, the latter becomes covered with a film consisting largely of metallic arsenic: it is extensively employed in chemico-legal examinations. the materials to be examined are completely disintegrated by boiling with hydrochloric acid, and the fluid filtered. some pure copper gauze or foil, having a polished surface, is then immersed in the boiling solution, and notice taken of the formation of a grey deposit. if a coating be formed, fresh pieces of the metal are added, so long as they become affected. the copper is then withdrawn from the solution, thoroughly washed with water, and dried, either by means of the water-bath or by pressing between bibulous paper. it is next introduced into a dry tube, and heated over a spirit lamp. the arsenic present volatilizes and is oxidized to arsenious acid which forms a deposit, consisting of octahedral crystals, on the cold part of the tubes. these are subsequently tested by means of the reactions distinctive of arsenious acid. it need hardly be added that the absolute purity of both the hydrochloric acid and of the copper is to be carefully established. the deposit obtained in the above operation was formerly regarded as pure arsenic, but it has been proved to be an alloy consisting of per cent. arsenic, and per cent. copper. reinsch's test possesses the advantage of requiring but little time for its execution, of being applicable to complex organic mixtures, and of effecting the detection of a very minute trace of the poison.--_trans._ detection of antimony. strictly speaking the salts of antimony are more therapeutic than poisonous in their action. in fact they usually act as emetics and, under certain circumstances, may be taken in large doses without incurring serious results. there are instances, however, in which their action is truly toxical, and it becomes necessary to effect their detection in the organs of a body. it should be remarked that these salts, if absorbed, remain by a kind of predilection in the liver and spleen. a special examination of these organs should therefore be instituted, particularly if the fluids of the alimentary canal are not at hand, which is frequently the case when some time has elapsed before the investigation is undertaken. the remarks made in the preceding article concerning the distinctive properties of arsenic and antimony need not be repeated here. the search for antimony is likewise executed by aid of marsh's apparatus. we will confine ourselves to a description of a modification to this apparatus proposed by _mm. flandin_ and _danger_, and employed in the separation of antimony and arsenic, when a mixture of these metals is under examination. another process, by means of which we arrive at the same result with greater certainty and by the use of a less expensive apparatus, will then be mentioned. we will, however, first indicate the preferable method of destruction of the organic substances. were the decomposition performed by means of sulphuric acid, sulphate of antimony, a slightly soluble salt and one not well adapted to the subsequent treatment with nascent hydrogen, would be formed. in order to obtain the metal in a soluble state, the formation of a double tartrate of antimony and soda is desirable. this may be accomplished in the following manner: . a cold mixture of nitrate of soda, sulphuric acid, and the suspected materials is prepared in the proportion of grammes of the nitrate to grammes of the acid, and grammes of the substance under examination. this mixture is heated and evaporated to dryness, and the decomposition of the organic matter completed in the usual manner. the carbonaceous residue obtained is pulverized, and then boiled with a solution of tartaric acid. by this treatment the antimonate of soda present is converted into a double tartrate of antimony and soda, which is easily soluble in water. the solution is filtered and then introduced into marsh's apparatus. . another method consists in heating the substances under examination with one half of their weight of hydrochloric acid for six hours on a sand-bath, avoiding boiling. the temperature is then increased until the liquid is in a state of ebullition, and to grammes of chlorate of potassa, for every grammes of the suspected matter taken, added in successive portions, so that a quarter of an hour is required for the operation. the liquid is next filtered, and the resinous matter remaining on the filter well washed with distilled water; the washings being added to the principal solution. a strip of polished tin is then immersed in the liquid: in presence of a large amount of antimony the tin becomes covered with a black incrustation: if but a minute quantity of the metal is contained, only a few blackish spots are perceptible. after the tin has remained immersed for hours, it is withdrawn and placed in a flask together with an amount of hydrochloric acid sufficient for its solution in the cold. if, after several hours, blackish particles are still observed floating in the liquid, they can be dissolved in a few drops of _aqua regia_. the solution may then be directly introduced into marsh's apparatus. apparatus proposed by flandin and danger. [illustration: fig. .] this apparatus consists of a wide necked jar _a_ (fig. ) for the generation of the gas, the mouth of which is closed with a cork having two openings. the safety tube _s_, which is funnel-shaped at its upper extremity and has its lower end drawn out to a point, passes through one of these apertures; the other opening contains the small delivery tube _b_, open at both ends, and terminating in a point at its upper extremity: it is also provided with lateral openings, in order to prevent the solution being carried up to the flame. the second part of the apparatus is the condenser _c_, . metre in diameter, and . metre in length. this terminates at its lower extremity with a cone, and connects at the side with the tube _t_, slanting slightly downwards. in the interior of the condenser, the cooler _e_ is contained, the lower end of which is nearly in contact with the sides of the opening _o_. the combustion tube _d_, . metre in diameter, is connected by means of a cork with the tube _t_; it is bent at right angles, and encloses the tube _b_, in such a manner as to allow the evolved gas to burn in its interior. the dish _f_ is placed beneath the opening _o_. if the gas which burns in the combustion tube contains arsenetted hydrogen, water and arsenious acid are produced. a portion of this acid is retained in the tube _d_, the remainder is carried over, with the aqueous vapor, into _c_, where it condenses, and finally falls into the dish _f_. both portions are subsequently examined by means of reactions necessary to establish the presence of the acid. if the ignited gas contains antimonetted hydrogen, water and an intermediate oxide of antimony are formed. the latter compound is entirely retained in the tube _d_ separated from the greater part of the arsenious acid, if this body be present, and can be brought into solution by means of a mixture of hydrochloric and tartaric acids. a fluid is then obtained which can be introduced into marsh's apparatus, or otherwise examined for antimony. naquet's apparatus. [illustration: fig. .] although the separation of arsenic from antimony is the chief object in making use of the apparatus proposed by flandin and danger, it is evident that this result is not fully accomplished, since a small portion of arsenious acid remains in the tube _d_ (fig. ), together with the intermediate oxide of antimony. the following method secures the complete separation of these metals: an amalgam of sodium and mercury is introduced into the flask _a_, (fig. ), which is provided with two openings. the tube _b_, terminating in a funnel at its upper extremity, passes through one of these orifices. the other aperture contains a cork enclosing the small tube _c_, which is bent at a right angle and communicates, by means of a cork, with the larger tube _d_ filled with cotton or asbestus. a set of liebig's bulbs, _e_, containing a solution of nitrate of silver, is attached to the other extremity of this tube. the apparatus being mounted, the solution under examination is slightly acidulated and introduced by means of the tube _b_ into the flask _a_: the disengagement of gas begins immediately. if arsenic and antimony are contained in the solution, arsenetted hydrogen and antimonetted hydrogen are evolved. both gases are decomposed in passing through the solution of nitrate of silver contained in the liebig bulbs: the arsenetted hydrogen causes a precipitation of metallic silver, all the arsenic remaining in solution as arsenious acid; the antimonetted hydrogen is decomposed into insoluble antimonate of silver. after the operation has continued for several hours, the apparatus is taken apart, the nitrate of silver solution thrown on a filter, and the precipitate thoroughly washed. an excess of hydrochloric acid is then added to the filtrate, and the precipitate formed separated from the solution by filtration, and well washed. the wash-water is added to the solution, and the whole then examined for arsenic by means of marsh's test. the precipitate formed in the nitrate of silver solution, which contains antimonate of silver, is well dried, mixed with a mixture of carbonate and nitrate of soda, and calcined in a porcelain crucible for about three-quarters of an hour. the crucible is then removed from the fire, and the cooled mass treated with hydrochloric acid until a drop of the filtered fluid ceases to give a residue when evaporated upon a watch-glass to dryness. a current of sulphurous acid is now conducted through the filtered solution until the odor of this gas remains persistent. the excess of acid is then removed by boiling, and the solution placed in marsh's apparatus and tested for antimony. detection of mercury. if a mercurial salt exists in a considerable quantity in the substances extracted from the alimentary canal, or ejected either by stools or vomiting, it can be isolated by treating these materials with water, filtering the liquid, and evaporating the filtrate to dryness. the residual mass is taken up with alcohol, and the solution again filtered and evaporated. upon dissolving the residue obtained by this operation in ether and filtering and evaporating the solution, a residue is obtained which when dissolved in water forms a fluid wherein the presence of mercury can be detected by means of the ordinary tests. when, however, only a minute quantity of mercury is present, and this has been absorbed, its detection is more difficult. it will be necessary under these circumstances to make use of either smithson's pile or flandin and danger's apparatus. smithson's pile. smithson's pile consists of a small plate of copper around which a piece of thin gold foil is wrapped. this is immersed in the solution to be tested for mercury, which has previously been slightly acidulated: if mercury be present, the plate acquires a white color which disappears upon exposure to the flame of a spirit-lamp. a similar reaction occurs in presence of tin, as this metal would likewise be deposited upon the plate, and, upon heating, would penetrate the metal and restore to it its natural color. the danger of mistake arising from this fact is obviated by introducing the copper plate into a tube closed at one end and bent at a right angle. the open extremity of the tube is drawn out to a fine point and immersed in water contained in a second tube also closed at one end. upon heating the plate in the flame of an alcohol lamp, the white color disappears if produced by mercury, and at the same time this metal condenses in the narrow extremity of the tube. the metallic globules formed can be recognized either by the naked eye or with the aid of a lens, or by rubbing them with a piece of gold foil when the latter will acquire a white coating. when smithson's pile is employed, the organic substances are most advantageously decomposed by means of chlorine. it is advisable to operate with as small a quantity of fluid as possible, for, owing to the volatility of bichloride of mercury, a portion of this salt may be lost by the evaporation of aqueous, alcoholic, and even etherial solutions, and the detection of minute quantities rendered impossible. apparatus proposed by flandin and danger. [illustration: fig. .] this apparatus consists of a stand _s_, (fig. ) supporting a balloon _a_, which serves as the reservoir of the suspected solution, and a funnel _b_, into which the neck of the balloon is dipped. the funnel _b_ is bent at a right angle and is drawn out at its lower end under which the dish _c_ is placed for the reception of the escaping fluids. a fine wire of pure gold, forming the negative electrode of a bunsen's battery, passes through the lower extremity of the funnel. the end of this wire nearly comes in contact with a second wire, inserted in the upper part of the funnel, and connected with the positive pole of the battery. if the balloon filled with the solution is inverted and immersed in the funnel _b_, its neck will be submerged at first; soon, however, it becomes uncovered, owing to the depression of the level of the fluid caused by the escape of the latter through the tapering extremity of the funnel: a bubble of air then passes in the balloon and expels a drop of the solution. this process is repeated at short intervals, causing a continuous flow of the fluid, the rapidity of which is easily regulated by elevating or lowering the balloon, thus raising or depressing the level of the liquid. the apparatus having been mounted in this manner and the battery set in action, the disengagement of gas commences. should mercury be contained in the solution under examination, this metal will be deposited upon the negative wire. when the operation is completed this wire is detached from the apparatus, washed with ether, and dried. it is then introduced into a small tube provided with a bulb, and the mercury volatilized by means of the blow pipe flame: the metal condenses in the bulb of the tube in globules which are readily recognized. they can also be dissolved in nitric acid, and the presence of a mercurial salt in the solution confirmed by further tests. the solution to be examined in the preceding apparatus, is prepared as follows: the suspected organic matter is treated with cold sulphuric acid of ° _b._ until liquefied, and hypochlorite of lime, and distilled water then added: if necessary, the evolution of chlorine can be accelerated by a further addition of sulphuric acid. as soon as the liquid becomes clear, it is filtered, concentrated and examined as described above. the solution contains the mercury in the state of bichloride, a salt soluble in water and well adapted to the above test. the substitution of a large balloon, having a capacity of about litres, in place of the small vessel of flandin and danger's apparatus, is to be recommended as doing away with the necessity of evaporation; an operation which invariably causes a loss of substance. the apparatus, modified in this manner, is the most delicate in use for the detection of mercury. detection of phosphorus. orfila's method. the solid substances found in the alimentary canal are mechanically separated from the fluids present by means of a linen cloth. they are then examined by aid of a magnifying glass, and any fragments of phosphorus found separated and preserved under water. if none are discovered, the presence of phosphorescent vapors may possibly be detected by examining the materials in the dark. in any case, a portion of the suspected materials should be treated with nitrate of silver: in presence of phosphorus the materials acquire, first, a reddish-brown, then, a black color. the remaining portion is spread upon a shovel and heated: a white flame, burning at various points of the mass, and originating from the combustion of phosphorus, is observed, if this body be contained in the substances under examination. this method is evidently far from perfect. mitscherlich's method. mistcherlich's method is based upon the luminosity of the vapors of phosphorus. the suspected materials are moistened with dilute sulphuric acid, and heated, in a flask communicating with a glass worm which passes through a glass cooler into a receiver. if the apparatus is placed in the dark, and the materials contain phosphorus, luminous vapors will be observed in the flask and receiver. when the quantity of the poison present is considerable, the phosphorous acid formed can be collected and its properties tested. dusart's method, as modified by blondlot. [illustration: fig. .] dusart's process takes advantage of the facility with which hydrogen combines with phosphorus. the substances under examination are placed between two asbestus stoppers in a tube, one end of which tapers to a point, and a current of pure hydrogen conducted over them. in presence of phosphorus the evolved gas will burn with a green flame, and, upon bringing this in contact with a porcelain plate, red spots will be deposited upon the latter. _blondlot_ prefers to introduce the suspected materials into the flask in which the hydrogen is generated. he employs the apparatus represented in fig. : _a_ is a flask for evolving hydrogen; _b_ is a u tube, filled with fragments of pumice stone which are saturated with a concentrated solution of potassa; _c_ is a mohr clamp; _d_ a screw-clamp; _e_ a platinum jet. this jet is necessary in order to avoid a yellow coloration of the flame by the soda contained in the glass. pure hydrogen is at first evolved, in order to ascertain that the flame is colorless and red spots are not produced when it is intersected by a cold plate. the purity of the reagents used having thus been confirmed, the clamp _d_ is closed until the acid is forced back into _f_; and the materials to be examined are then added to the fluid. upon opening the clamp the liquid passes from _f_ into _a_, and the evolution of gas recommences. the gas is then ignited: the flame possesses the characteristic properties mentioned above, if the suspected substances contain phosphorus. method proposed by fresenius and neubauer. according to this method, the materials are brought into a flask provided with a doubly-perforated stopper, and water, acidulated with sulphuric acid, added. the flask is then heated over a water-bath, and a current of carbonic acid conducted through the mixture for at least two hours. the gas, on leaving the flask, passes into a solution of nitrate of silver. should no precipitate form in this solution, the absence of free phosphorus is established, for, were this body present, a portion would be volatilized, and a black precipitate, consisting of phosphide of silver, together with phosphoric acid, produced. the formation of a black precipitate is, however, not necessarily a proof of the presence of phosphorus. in order to conclusively determine the character of the precipitate, it is collected on a filter and examined by the method of dusart and blondlot. this process has given result in cases where none were obtained by mistcherlich's method. it possesses, moreover, an advantage over the latter process, in not being influenced by the presence of foreign bodies; whereas, in mistcherlich's method, some time must elapse before the luminosity of the vapors becomes apparent if ether or alcohol is contained in the solutions, and this phenomenon totally fails to appear in presence of oil of turpentine. detection of phosphorus by the use of bisulphide of carbon. in a report read before the academy of sciences in , presented by an examining commission, of which mm. _dumas_, _pelouze_ and _claude bernard_ were the reporters, the following results were contained: phosphorus may remain, in the _free state_, in the organs fifteen days after death, and even then its isolation can easily be accomplished. for this purpose the stomach or intestines, and the articles of food contained therein, are cut into pieces and treated with bisulphide of carbon. upon filtering the liquid, a solution is obtained containing all the phosphorus present, which exhibits the following properties: st, when ignited, it burns with a very luminous flame; nd, if allowed to spontaneously evaporate (the combustion of the phosphorus being prevented by the organic matter present [_naquet_]) an inflammable residue is obtained, which, if dissolved in boiling monohydrated nitric acid, gives a solution that, after saturation with ammonia, produces a precipitate soluble in acids in solutions of barium salts. if the solution is mixed with perchloride of iron, and the sesquioxide of this metal subsequently eliminated by the addition of ammonia, it no longer causes a precipitation in barium solutions. the fluid acquires a yellow coloration when boiled with a solution of molybdate of ammonia. according to our personal experience, the apparatus employed by flandin and danger for the detection of arsenic, can also be made use of in the examination of the bisulphide of carbon solution. to this end, the fluid supposed to contain phosphorus is mixed with perfectly pure alcohol, and the mixture placed in a small spirit-lamp provided with a very loose asbestus wick. the lamp is then ignited and the flame introduced in the combustion tube _d_ (fig. ). [illustration: fig. .] by the combustion of the mixture, sulphurous, carbonic, phosphorous acids and water are formed. the water condenses in _c_, and, falling into the dish _f_, carries with it the sulphurous and phosphorous acids. the acid liquid collected in this way is evaporated to dryness, some nitric acid added, and the solution again evaporated. the remaining mass is then dissolved in water to which some ammonia is added, and the solution tested for phosphoric acid. this method is an advantageous one as the phosphoric acid formed must originate from phosphorus in the _free state_, and not from any phosphates which, owing to the presence of organic matter, might be contained in the bisulphide of carbon solution. it would, however, lead the analyst into error if the person, supposed to have been poisoned had eaten cerebral substances or eggs previous to death, as these contain glycero-phosphoric acid; it is therefore advisable to compare the results given by this process with those obtained by the use of other methods. detection of phosphorous acid. provided free phosphorus has not been detected, it is necessary to search for phosphorous acid. to this end, the residue remaining in the flask, in either mistcherlich's or fresenius and neubauer's method, is introduced into the apparatus of dusard and blondlot. if the phosphorus reaction appears, it is sufficient; otherwise, its production may have been hindered by the presence of organic matter. in case, therefore, the flame is colorless, the evolved gas is conducted into a neutral solution of nitrate of silver. if the materials contain phosphorous acid, a precipitate of phosphide of silver is formed which should be collected and washed. the precipitate, which is now free from organic matter, is then examined for phosphorous acid by means of the apparatus of dusard and blondlot. estimation of phosphorus. the best process for determining quantitatively the amount of phosphorus present is the one recommended by fresenius and neubauer. the gaseous current is continued until a fresh nitrate of silver solution is no longer precipitated. the solution is filtered, the precipitate washed and then dissolved in nitric acid. the silver is next precipitated by addition of hydrochloric acid, the fluid again filtered, and the precipitate well washed. the washings are added to the filtrate, and the liquid concentrated in a porcelain capsule. a solution of sulphate of magnesia, containing ammonia, is next added to the fluid, and the phosphoric acid determined as pyrophosphate of magnesia: the precipitate formed, is washed, heated to redness, in order to convert it into the pyrophosphate, and then weighed. detection of acids. the search for acids is to be instituted exclusively in the alimentary canal and its contents. were acids contained in the other organs, their presence would be due to the blood in which they had previously been absorbed, and, as in this case they would be partially neutralized by the bases contained in the blood, a conclusive decision in regard to their original existence in the suspected materials would be impossible, the salts of the acids usually searched for being normal constituents of the blood. in order to detect the presence of acids, the alimentary canal and contents are first boiled with water which is renewed until the solution ceases to exhibit an acid reaction when tested with litmus paper. the fluid is then filtered, alcohol added to the filtrate, in order to precipitate organic substances, the liquid again filtered, and the solution tested separately for the various acids as directed below. hydrochloric acid. the solution is placed in a retort provided with a receiver and distilled until the residual fluid assumes a pasty consistence: the operation is then discontinued. if hydrochloric acid be present in the materials under examination, the distillate will have an acid reaction, and, upon addition of solution of nitrate of silver, a white precipitate, which is easily soluble in ammonia but insoluble in nitric acid and in short possesses all the properties of chloride of silver, will be formed. nitric acid. the distillate, obtained as in the preceding process, is neutralized by the addition of potassa or soda, and evaporated to dryness. the residue is mixed with copper filings, and introduced into a glass tube closed at one end and provided at the other with a cork through which a delivery-tube passes. sulphuric acid is then added to the mixture, the cork inserted, the tube heated, and the evolved vapors conducted into a solution of protosulphate of iron. the latter solution acquires a brown coloration which, upon addition of sulphuric acid, changes to a violet, if nitric acid be present. upon conducting the disengaged gas into a solution of narcotine, the latter acquires a beautiful red color. another portion of the residue should deflagrate when saturated with an alkali and projected upon live coals. sulphuric acid. in order to detect this acid, the solution obtained by treating the organs with water is not distilled but is concentrated to one-sixth of its original volume, and then agitated with ether for about ten minutes. by this treatment the ether takes up the free sulphuric acid, but not the acid sulphates present. after ten minutes contact, the ether is decanted and allowed to spontaneously evaporate. upon treating the residue, which contains the free sulphuric acid and fatty substances, with water, a solution containing only the sulphuric acid is obtained. nitrate of baryta is then added to a portion of the fluid: in presence of sulphuric acid, a white precipitate, insoluble in acids, is produced. if this is heated on charcoal before the blow-pipe, a mass is formed, which, when moistened with hydrochloric acid and placed upon a clean silver coin, produces a black spot on the metal. another portion of the solution is mixed with copper and the mixture evaporated in a tube closed at one end: sulphurous acid is evolved towards the end of the operation. this gas is detected by allowing it to pass over paper saturated with a mixture of iodic acid and starch; a blue coloration is produced which, owing to the transformation of the iodine set free into hydriodic acid, subsequently disappears. (we have never been able to effect the disengagement of sulphurous acid spoken of above when an exceedingly dilute sulphuric acid was used, even upon evaporating the mixture to dryness, notwithstanding orfila's statement that the reaction occurs very readily.) phosphoric acid. the aqueous solution is evaporated to dryness, the residue taken up with alcohol of ° b., the fluid again evaporated, and the second residue dissolved in water. upon adding acetate of lead to the solution, a white precipitate is produced if phosphoric acid be present. the precipitate is washed, suspended in water and a current of sulphuretted hydrogen passed through the mixture. if the fluid is then filtered, and the excess of sulphuretted hydrogen expelled from the filtrate by boiling, a liquid possessing the distinctive properties of a solution of phosphoric acid will be obtained. this should then be submitted to the following tests: some pulverized charcoal is added to a portion of the solution, the mixture evaporated to dryness, and the residue obtained introduced into a hessian crucible heated to redness: in presence of a considerable amount of the acid, free phosphorous is liberated and burns with a bright flame in the upper part of the crucible. in case this reaction fails to occur, other portions of the fluid are treated with a solution of a baryta salt, which causes a white precipitate, soluble in nitric acid; with an ammoniated solution of sulphate of magnesia, which throws down a crystalline white precipitate; and by boiling with molybdate of ammonia, acidulated with nitric acid, which produces a yellow precipitation, or at least a yellow coloration of the solution. oxalic acid. the solution is subjected to the same treatment as in the search for phosphoric acid, with the exception that, instead of adding acetate of lead to the fluid obtained by taking up the residue left from the alcohol with water, it is divided into two portions which are examined separately. a solution of a lime salt is added to one portion: if oxalic acid be present, a precipitate, which is insoluble in acetic acid or in chloride of ammonium, and effervesces when slightly calcined and treated with hydrochloric acid, is formed. nitrate of silver is added to the remaining portion of the solution: the formation of a precipitate, which detonates when dried and heated in a glass tube closed at one end, is further evidence of the presence of the acid. acetic acid. the solution obtained by treating the alimentary canal with water is distilled, as in testing for nitric and hydrochloric acids, and the following properties verified in the distillate: st. it has an acid reaction, and possesses the odor of vinegar; nd, unless previously neutralized with a base, it fails to redden the per-salts of iron; rd, if the distillate is added to a solution of the per-salts mentioned and sulphuretted hydrogen conducted through the fluid, a black precipitate is formed; th, upon boiling the still acid fluid with a small quantity of starch, the property of the latter to become colored in presence of free iodine is not changed; th, if heated with an excess of litharge, a basic salt which restores the blue color to reddened litmus paper is produced. hydrocyanic acid. the detection of hydrocyanic acid requires special precautions. the substances to be examined are mixed with water, if solids are present, and introduced into a retort provided with a delivery-tube which dips in a solution of nitrate of silver. the retort is then heated over a water-bath. if the evolved vapors produce a precipitate in the silver solution, the heating is continued until a fresh portion of the latter is no longer affected. the operation is now interrupted, hydrochloric acid added to the retort, and heat again applied. should a second precipitation of cyanide of silver occur, the presence of a _cyanide_ in the suspected materials is indicated; whereas the formation of a precipitate by the simple action of heat would point to the presence of free hydrocyanic acid or cyanide of ammonium.[h] in case the latter compound is present, ammonia will be contained in the distillate. [h] ferrocyanides and ferricyanides--non-poisonous compounds--likewise, evolve hydrocyanic acid when distilled with a strong acid. their presence is indicated by stirring a small portion of the materials with water, filtering the fluid, acidulating the filtrate with hydrochloric acid, and testing two portions: one with sesquichloride of iron, the other with protosulphate of iron. if either of the above salts be present, a blue precipitate is produced.--_trans._ in order to identify the cyanogen, a portion of the precipitate is collected upon a small filter, washed, dried, and then allowed to fall into a rather long tube, closed at one end, in the bottom of which some iodine has previously been placed. a column of carbonate of soda is then introduced above the precipitate for the purpose of retaining the excess of iodine probably taken. upon heating the lower end of the tube, white fumes of iodide of cyanogen, which condense in needles upon the cold portion of the tube, are produced. these are easily recognized by aid of a magnifying glass. they are colorless and are readily volatilized by heat. some ammonia is next added to a solution of protosulphate of iron, the precipitate formed thoroughly washed, and exposed to the air until it acquires a greenish hue. the iodide of cyanogen is then withdrawn from the tube and mixed with potassa-lye and the precipitate mentioned above. the mixture is evaporated to dryness, the residue obtained treated with water and the filtered solution then acidulated with hydrochloric acid. if a solution of a persalt of iron is now added to the fluid, a blue precipitate is formed. the addition of salts of copper produces a reddish precipitation. the remainder of the precipitate formed in the nitrate of silver solution is heated with sulphur and then boiled with an aqueous solution of chloride of sodium: if cyanogen is contained in the precipitate, a solution of sulphocyanate of soda will be formed, and upon adding sesquichloride of iron an intense red coloration produced. it is evident that the presence of another acid in the solution examined for hydrocyanic acid would render the detection of _cyanides_ impossible, but in all cases hydrocyanic acid can be separated without arriving at a decision in regard to its original state of combination. nitric, hydrochloric, and several other acids would not be distilled at the temperature of the water-bath; an examination for these by the methods already described can therefore be instituted simultaneously with the search for hydrocyanic acid. detection of alkalies and alkaline earths. the separation of these bodies in the caustic state is a matter of difficulty owing to the great tendency they possess to become converted into carbonates; the carbonates of lime, baryta and strontia, moreover, being non-poisonous in their effects, will not be employed with criminal intent, and the carbonates of soda and potassa are extensively used as pharmaceutical preparations. notwithstanding the small chances of success, the isolation of the compounds under consideration in the caustic state is to be attempted. to this intent, the organs to be analysed, together with their contents, are placed in a glass retort provided with a receiver, water added, and the mixture boiled. the distillate will contain the ammonia present. when, however, putrefaction has begun, the detection of this compound does not necessarily indicate its original presence in the suspected materials. if, after an hour's boiling, the fluid in the retort possess an alkaline reaction, it is to be examined for soda, potassa, strontia, baryta and lime. the undistilled solution is filtered, the filtrate evaporated to dryness, and the residual mass treated with alcohol. by this treatment, potassa and soda go in solution, lime, baryta and strontia[i]--as well as the alkaline carbonates--remaining undissolved. the potassa and soda are separated from the other salts present by filtering and evaporating the alcoholic solution to dryness and then calcining the residue in a silver crucible. the mass, which should still be alkaline, is then dissolved in dilute sulphuric acid. if the solution is turbid, traces of baryta or strontia may still be present and should be removed by filtration. some hydrochloric acid and solution of bichloride of platinum are then added to a portion of the filtered liquid: in presence of _potassa_ a yellow precipitate is formed. [i] baryta and strontia dissolve in alcohol, but only when they are anhydrous and the alcohol is absolute, which is not the case here. another portion is treated with tartaric acid: a white granular precipitate is produced. hydrofluosilicic acid is added to a third portion of the solution: the formation of a gelatinous precipitate is a further indication of the presence of potassa. if the preceding tests have given negative results, and a white precipitate is formed by the addition of antimonate of potassa to another portion of the solution, _soda_ is present. in both cases, it is necessary to confirm the results by means of the spectroscope. the above reactions are distinctive only in the absence of metals precipitated by sulphuretted hydrogen, sulphide of ammonium or carbonate of soda, and small portions of the solution should be tested with these reagents. in order to detect baryta, strontia and lime, the residue, insoluble in alcohol is dissolved in dilute nitric acid, and an excess of carbonate of ammonia added to the solution: the three bases, if present, are precipitated as carbonates. the precipitate formed is separated from the solution by filtration, dissolved on the filter in dilute hydrochloric acid, and the solution then filtered and divided into two parts: sulphuric acid is added to one, the fluid filtered from the precipitate of sulphate of baryta formed, and the filtrate treated with ammonia and oxalate of ammonia. if _lime_ be present,--although its sulphate is not easily soluble--sufficient will be contained in the filtrate to give a white precipitate of oxalate of lime. the remaining portion of the solution is evaporated to dryness, and the residue treated with absolute alcohol. chloride of strontium goes into solution, chloride of barium remaining undissolved. if upon evaporating the alcoholic solution a residue is obtained which, when dissolved in water, produces turbidity in a solution of sulphate of lime, _strontia_ is present. the residue, insoluble in alcohol, is dissolved in water. if a precipitate is produced by the addition of sulphuric acid or hydrofluosilicic acid to the solution, _baryta_ is present. the latter reaction distinguishes baryta from strontia, which is not precipitated by hydrofluosilicic acid. should the tests mentioned above fail to give affirmative results, and poisoning by means of baryta and strontia be nevertheless suspected, these compounds may possibly have remained in the materials contained in the alimentary canal, in the state of insoluble sulphates. to effect their detection under these circumstances the organic substances must be decomposed by means of sulphuric acid. the carbonaceous residue is calcined in a crucible at an elevated temperature, and the remaining mass treated with water. in this way, a solution of sulphides of barium and strontium is obtained, which is then tested as directed above. detection of chlorine, bromine, and iodine. chlorine and bleaching chlorides. the detection of chlorine is very difficult owing to the great tendency it possesses to become converted into chlorides or hydrochloric acid, and it is only when found in a free state that its discovery is of importance. in case the gas exists uncombined in the alimentary canal, its odor will be perceptible, and, upon boiling the suspected materials with water, vapors will be evolved which impart a blue color to paper saturated with a mixture of iodide of potassium and starch paste. if the addition of sulphuric acid is necessary in order to produce the above reactions, there is reason to suspect the presence of "chloride of lime" or "_eau de javelle_."[j] [j] the so-called "chloride of lime" is probably either a mixture of chloride and hypochlorite of calcium or an oxydichloride of the metal; "_eau de javelle_" is the corresponding potassium compound.--_trans._ bromine. in case bromine exists in a free state at the time the autopsy is made, its presence will be detected by the reddish color and unpleasant odor it possesses. its isolation is accomplished by treating the materials with bisulphide of carbon which, upon dissolving the bromine, acquires a red color. if potassa is then added to the solution, it combines with the bromine and, upon evaporating the decanted fluid, calcining the residue, and treating it with water, a solution of bromide of potassium is obtained. upon adding chlorine-water and ether to a portion of the fluid, and shaking the mixture, the bromine is liberated and is dissolved by the ether. the etherial solution of bromine, which possesses a reddish-yellow color, does not mingle with, but floats upon the surface of the colorless aqueous solution. if nitrate of silver is added to another portion of the aqueous solution of bromide of potassium, a precipitate of bromide of silver, soluble in ammonia, is formed. in case the bromine has been converted into a bromide, it is necessary to boil the alimentary canal and the articles of food contained therein with water. the fluid is next filtered and agitated with chlorine-water and ether. the liberated bromine is dissolved by the ether, which acquires a reddish-yellow color. upon decanting the solution, and treating it with potassa, bromide of potassium is formed, and can be detected as directed above. iodine. the detection of iodine is accomplished by a process almost identical with the above. the isolation of the iodine having been effected, it remains to be ascertained that it imparts a blue color to starch paste, and a violet color to bisulphide of carbon. detection of metals. under this head we will indicate the systematic course of analysis to be pursued, supposing a mixture of several metals including arsenic and antimony, to be under examination. the organic substances are first destroyed by means of chlorate of potassa and hydrochloric acid. when this is accomplished, the excess of chlorine is removed by boiling and the liquid filtered. the portion remaining on the filter is preserved: it contains all the silver and a large portion of the lead, if these metals are present. we will designate the residue as a, the filtrate as b. treatment of residue a. the residue is calcined with a little carbonate of soda and cuttings of pure swedish filtering paper, the chlorides present being reduced to the metallic state by this treatment. the residue is next taken up with water acidulated with nitric acid, and the solution filtered. an insoluble residue, that may remain, is washed with hot water until the wash-water ceases to precipitate solution of nitrate of silver, and dried. it is then dissolved in boiling nitric acid, the solution diluted with water, and filtered.[k] [k] if an insoluble residue remains by the treatment with nitric acid, it may consist of _tin_. in this case, it is dissolved in _aqua regia_, the metal precipitated by immersing a plate of zinc in the solution and then re-dissolved in boiling hydrochloric acid. upon adding chloride of gold to the solution so obtained, a purple precipitate is formed. sulphuretted hydrogen produces a brown precipitate, soluble in sulphide of ammonium, in presence of tin. sulphuric acid is added to the filtrate: if no precipitate forms, the absence of _lead_, in the residue a, is indicated. if, on the contrary, a precipitate is produced, it is collected upon a filter and washed. in order to make sure that the precipitate consists of sulphate of lead, it is treated with a solution of tartrate of ammonia: it should dissolve, forming a solution in which sulphuretted hydrogen produces a black precipitate. the fluid which has failed to be precipitated by the addition of sulphuric acid, or the filtrate separated from the precipitate formed, can contain only silver. upon adding hydrochloric acid, this metal is thrown down as a caseous white precipitate, which is soluble in ammonia, but insoluble in boiling nitric acid, and blackens upon protracted exposure to light. the formation of a precipitate possessing these properties, leaves no doubt as to the presence of _silver_. _remark._--in the operations described above, as well as in those following, the difficulty in separating minute precipitates from the filter is often experienced. when the precipitate is to be dissolved in reagents that do not affect the paper, such as ammonia, tartrate of ammonia, and dilute acids, it can be brought in solution directly on the filter. in cases, however, where reagents which attack the paper are employed, the precipitate should be separated. this is accomplished by mixing a small quantity of pure silica, obtained by the decomposition of fluoride of silicium by water, with the solution, before filtering. the precipitate becomes intimately mixed with the silica, and can then be readily removed from the paper. the presence of silica does not interfere, it being insoluble in the reagents commonly made use of. treatment of filtrate b. a current of sulphuretted hydrogen is conducted for twelve hours through the solution, which is kept at a temperature of °. by means of a water-bath. the flask containing the liquid is then closed with a piece of paper, and allowed to remain in a moderately warm place until the odor of the gas is no longer perceptible. the solution is next filtered with the precaution mentioned in the preceding remark, and the precipitate (_a_) thoroughly washed. the water used in this operation is united to the filtrate, and the fluid (_b_) examined as directed further on. treatment of precipitate _a_. in order to free the precipitate from the organic substances possibly present, at the same time avoiding a loss of any metal, it is dried, moistened with nitric acid, and the mass heated on a water-bath. some swedish filtering paper is next added, the mixture well impregnated with sulphuric acid, and then maintained for several hours at a temperature of about °. until a small portion (afterwards returned) gives a colorless solution when treated with water. the residue is now heated with a mixture of one part of hydrochloric acid and eight parts of water, the liquid filtered, the matter remaining undissolved washed with dilute hydrochloric acid, and the washings united with the filtrate. the residue i. and the solution ii. are separately examined as directed below. residue i. this may contain lead, mercury, tin, bismuth and antimony. it is heated for a considerable time with _aqua regia_, the solution filtered, and the second residue, should one remain, washed with dilute hydrochloric acid. if the second residue is fused with cyanide of potassium, the compounds present are reduced to the metallic state. the liberated metals are treated with nitric acid, which dissolves _lead_, but leaves _tin_ as insoluble metastannic acid. the nitrate of lead is then filtered from the metastannic acid, and both metals are identified as described in the treatment of residue a. the solution, obtained by the action of _aqua regia_ on residue i, is treated with sulphuretted hydrogen. the tin and antimony are separated from the lead, mercury and bismuth by treating the precipitate produced with sulphide of ammonium, which dissolves only the sulphides of the first two metals. the solution in sulphide of ammonium is afterwards examined for these metals, as directed under the head of solution iv., the search for arsenic, however, being here omitted. upon treating the residue insoluble in sulphide of ammonium with nitric acid, lead, copper and bismuth go into solution, mercury remaining undissolved. the liquid is filtered, and the undissolved mercury submitted to the special examination previously described. sulphuric acid is added to the solution and the precipitate of sulphate of lead formed, separated, washed, and examined as directed while treating of residue a. finally, the solution separated from the lead is tested for _bismuth_ and _copper_, as in examination of precipitate iii. solution ii. the solution is concentrated by heating on a water-bath, a small quantity of carbonate of soda cautiously added to a portion, and notice taken if a precipitate forms. the part taken is then acidulated with a little hydrochloric acid, returned to the principal solution, and sulphuretted hydrogen conducted through the fluid, as in the examination of solution b. in case a precipitate fails to form, all metals are absent; if, on the contrary, a precipitate (_c_) is produced, it is examined as directed below. examination of precipitate _c_. if the solution merely became turbid, or the precipitate formed was of a pure white color, it consists probably of sulphur. it is, however, indispensable, even in this case, to collect the precipitate and examine it for _arsenic_. provided it is of a pure yellow color, it is treated with ammonia. in case it is entirely dissolved by this treatment, and the addition of carbonate of ammonia failed to produce a precipitate in solution ii., it is certain that arsenic, and no other metal, is present. under these circumstances, the ammoniacal solution is examined as directed in the article on the detection of arsenic. if, on the other hand, the precipitate is not yellow, or being yellow, is but imperfectly soluble in ammonia, and a precipitate was formed by the addition of carbonate of ammonia to solution ii., it is necessary to likewise search for tin, antimony, mercury, copper, bismuth and cadmium. in this case, the precipitate is placed in a small flask, allowed to digest for several hours with ammonia and sulphide of ammonium in a moderately warm place, and the solution filtered. the remaining residue (iii.) is washed, labelled, and preserved for subsequent examination; the _filtrate_ (iv.) is treated as directed below. treatment of solution iv. the solution, to which the water used in washing the residue has been added, is evaporated to dryness, the residue obtained taken up with pure fuming nitric acid, and the liquid again evaporated. the second residue is next saturated with a solution of carbonate of soda. a mixture of part of carbonate and of nitrate of soda is then added, the mixture evaporated to dryness, and the residual mass heated to fusion. the fused mass, when cold, is treated with cold water, and any remaining residue washed with a mixture of equal parts of alcohol and water. the filtered fluids are now evaporated in order to remove the alcohol, sulphuric acid is then added, and the mixture heated until white fumes of the acid begin to evolve. in this way the complete expulsion of the nitric acid present is rendered certain. when cold, the residue is treated with water and the _solution_ introduced into marsh's apparatus, or, in case a quantitative estimation of the arsenic is desired, it is treated with sulphuretted hydrogen and the weight of the precipitate formed determined, as directed under the detection of arsenic. should a residue insoluble in water remain, it may contain tin, antimony and traces of copper. upon dissolving it in _aqua regia_ and placing a sheet of pure zinc in the solution, these metals are thrown down in the metallic state. the precipitate is collected, the zinc present completely removed by treatment with _dilute_ hydrochloric acid, and the residue boiled with concentrated hydrochloric acid which dissolves the _tin_ present. the fluid is filtered and the _filtrate_ tested for this metal by adding solution of chloride of gold, which, in its presence, produces a purple precipitate, and, by treating it with sulphurated hydrogen, which forms a brown precipitate, soluble in sulphide of ammonium. if the _residue_, insoluble in concentrated hydrochloric acid, is thoroughly washed and then treated with nitric acid, the copper present goes in solution. the fluid is filtered, and ammonia added to the filtrate: in presence of _copper_, the solution acquires a blue color, and gives a reddish precipitate upon addition of ferrocyanide of potassium. _antimony_, if present, remains by the treatment with nitric acid as an insoluble intermediate oxide. this is dissolved in hydrochloric acid, in which it is now soluble, and the solution introduced into marsh's apparatus. treatment of precipitate iii. this precipitate may contain the sulphides of mercury, copper, cadmium and bismuth. upon treating it with nitric acid, all but the sulphide of mercury are dissolved. in case no residue remains, the absence of _mercury_ is indicated; if, on the other hand, a residue is left, it is well washed, dissolved in _aqua regia_, and the solution examined, either by means of smithson's pile, or in the apparatus of flandin and danger. (_vide detection of mercury._) whether a residue remains or not, an excess of ammonia is next added to the filtered solution in nitric acid: the formation of a permanent precipitate denotes the presence of _bismuth_. in this case, the fluid is filtered, and the alkaline filtrate further tested for copper and cadmium. for this purpose, cyanide of potassium is added, and sulphuretted hydrogen conducted through the filtrate: if _cadmium_ be present, a yellow precipitate is produced, copper not being thrown down in presence of an alkaline cyanide. the precipitate of sulphide of cadmium is separated from the solution by filtration, and the filtrate saturated with hydrochloric acid. _copper_, if present, is now precipitated as sulphide: its separation is completed by conducting sulphuretted hydrogen through the fluid. the precipitate is collected, washed, dissolved in nitric acid, and its identity established as previously directed. if the metal be present in sufficient quantity, it should be obtained in a metallic state upon a plate of iron; it is then coherent, possesses its natural color, and can conveniently be exhibited to the jury. treatment of solution _b_. this solution may contain: cobalt, nickel, iron, manganese, chromium, zinc and aluminium. of these, only zinc and chromium are poisonous; the search for these two metals is therefore all that is necessary in criminal cases. the solution is treated with a slight excess of ammonia, sulphide of ammonium added, and the fluid, after being allowed to stand for several hours, filtered. the precipitate may consist of sulphide of zinc and hydrated oxide of chromium, as well as of traces of sulphide of iron and phosphate of lime. if the suspected materials contained a _chromate_, this salt, in presence of hydrochloric acid and sulphuretted hydrogen, would be converted into sesquichloride of chromium a compound which is precipitated by sulphide of ammonium as a hydrated oxide. the precipitate is washed with water, to which a little sulphide of ammonium is added, then dried, and fused with four times its weight of a mixture of equal parts of carbonate and nitrate of potassa. after the mass has remained in a state of fusion for a quarter of an hour, it is treated with boiling water, mixed with a little alcohol, in order to decompose the manganate that would be present were manganese contained in the materials under examination. the alcohol is then expelled by boiling the fluid, and the solution filtered. the _filtrate_ may contain phosphate of potassa, originating from the phosphate of lime present, and _chromate of potassa_, resulting from the oxidation of the sesquioxide of chromium. in presence of the latter compound, the following reactions will occur in the solution: st., upon acidulation with acetic acid and addition of solution of acetate of lead, a yellow precipitate, soluble in potassa, is formed; nd., if hydrochloric acid is added and sulphuretted hydrogen conducted into the solution, the latter acquires a green color, and, upon adding ammonia, a bluish-grey precipitate of chromic hydrate is produced; rd., if nitrate of silver is added to the solution, a brick-red precipitate is formed. the _precipitate_ remaining on the filter, may consist of zinc, mixed with the oxides of iron, nickel, cobalt, aluminium and manganese. it is dissolved in boiling hydrochloric acid, acetate of soda added, and the fluid boiled until no further precipitation occurs. the iron is now completely separated. the solution is then filtered, the precipitate washed, and an excess of potassa added to the _filtrate_; if the solution contains cobalt, nickel or manganese--which is improbable--a permanent precipitate is formed. this is separated from the fluid by filtration: its further examination is, however, unnecessary, as the metals of which it consists are not poisonous. the _filtrate_ may contain aluminium and _zinc_. the latter metal is detected by acidulating the filtrate with acetic acid, and adding a solution of sulphuretted hydrogen: in presence of zinc a white precipitate of its sulphide is formed. in case organic substances are present, the precipitation of chromium by sulphide of ammonium may possibly have been hindered, and the metal have passed into the filtrate. when, therefore, chromium is not detected in the precipitate, the filtrate should also be examined. for this purpose, the fluid is evaporated to dryness, and the residue obtained fused with a mixture of nitrate and carbonate of soda. the fused mass is then taken up with water, the solution acidulated with acetic acid, and a solution of acetate of lead added: if chromium be present, a yellow precipitate, soluble in potassa, is produced. detection of alkaloids and some ill-defined organic substances.[l] a general method for effecting the detection of alkaloids was first proposed by _stas_. since the publication of this method, modifications to it have been recommended by _otto_, and by _l. uslar_ and _j. erdman_. other processes have been suggested by _rodgers_ and _girwood_, by _e. prollius_, and by _graham_ and _hofman_. the latter will doubtless become general in their application; but up to the present time they have been employed exclusively in the detection of strychnine. dialysis has also been recently applied in the separation of alkaloids. [l] colchicine, picrotoxine and digitaline. stas's method. this method is based upon the facts: (_a_), that the acid salts of the alkaloids, especially those containing an excess of tartaric or oxalic acids, are decomposed by caustic alkalies and by the bicarbonates of soda and potassa; (_b_), that the alkaloids, when liberated in this manner, are combined with a certain amount of water which determines their solution in ether, although, in a desiccated state they may be insoluble in this menstruum; (_c_), that they may be extracted from their aqueous solutions by agitation with ether. stas's original method is as follows: the suspected substances, if organs are contained, are cut into fine shreds, then mixed with absolute alcohol, . to . grammes of tartaric or oxalic acid added and the whole introduced into a flask and heated at a temperature of ° to °. when quite cold, the mixture is filtered, and the undissolved portion remaining on the filter washed with absolute alcohol, the washings being added to the filtrate. the alcoholic solution is evaporated, either by placing it under a bell-jar connected with an air-pump, or by passing a current of air, having a temperature not exceeding ° over it, until reduced to a quarter of its original volume: the complete expulsion of the alcohol being then rendered certain. if insoluble matter separates during this operation, the concentrated fluid is passed through a moistened filter, the water used in washing the residue being united to the filtrate which is then evaporated to dryness by aid of the air-pump or by placing the fluid in a bell-jar over concentrated sulphuric acid. when the evaporation is completed, the residue is treated with absolute alcohol, the alcohol allowed to evaporate at the ordinary temperature of the air, and the second residue dissolved in the smallest possible amount of water. the fluid thus obtained is placed in a test-tube, and a concentrated solution of bicarbonate of soda added so long as effervescence takes place. ether is then added, the mixture thoroughly shaken, and after it has remained at rest for some time, a small portion of the supernatant ether removed and evaporated on a watch-glass: the residue obtained will consist of the alkaloid present. two cases are now possible: the alkaloid is a solid, or it is a liquid and is volatile. the further treatment of the solution is modified according to these circumstances. _a._ the alkaloid is liquid and volatile. if, upon the evaporation of the ether, oily streaks were left on the watch-glass, a volatile alkaloid is probably present. in this case, a solution of caustic potassa is added to the test-tube, the mixture shaken, the supernatant ether decanted[m] into a flask and the remaining solution again washed with ether until the last portion fails to leave a residue upon evaporation. the etherial fluids are then united, and two cubic centimetres of water, acidulated with one-fifth of its weight of sulphuric acid, added. this acid retains the alkaloid, which is now in the state of a pure acid-sulphate soluble in water, the animal matters present remaining dissolved in the ether. the ether, in which some sulphate of conia may be contained--although the greater portion of this compound would remain in the aqueous solution--is then decanted. the remaining aqueous solution of the pure sulphate of the alkaloid is placed in a test-tube, a solution of caustic potassa and some ether added, and the mixture well shaken. the ether is next decanted and allowed to spontaneously evaporate in a dry place at a very low temperature, and the ammonia possibly present is then removed by placing the vessel containing the residue over sulphuric acid. the residue now obtained consists of the alkaloid present in a state of purity, and can be directly identified by means of the reactions described further on. [m] the necessity of decanting etherial and other solutions is advantageously obviated by the use of a pipette.--_trans._ _b._ the alkaloid is solid. it sometimes occurs that ether fails to take up all of the alkaloid present in the fluid treated with bicarbonate of soda. under these circumstances the fluid should be mixed with caustic potassa, the mixture shaken, and the ether decanted; this operation being repeated several times, until the entire amount of the alkaloid is removed; the ethereal fluids are then united in a capsule, and allowed to spontaneously evaporate. the result of the evaporation may be solid; more frequently, however, a milky liquid remains which restores the blue color to reddened litmus paper; if so, the presence of a vegetable alkaloid is certain. in order to purify the residue, a few drops of water, slightly acidulated with sulphuric acid, are added to the capsule, and the latter turned, so as to bring the fluid in contact with the substance at all points; in this manner a colorless and limpid fluid is obtained, the fatty substances adhering to the dish. the liquid is decanted into a second capsule, the remaining residue washed with a little acidulated water, and the washings likewise added to the principal solution. the fluid is now evaporated either _in vacuo_, or over sulphuric acid, to about three-fourths of its original volume a concentrated solution of neutral carbonate of potassa added, and the mixture treated with absolute alcohol, which dissolves the liberated alkaloid, and separates it from the sulphate of potassa formed and the excess of carbonate of potassa. the alcoholic solution is decanted and allowed to evaporate _in vacuo_ or in the air: the alkaloid now crystallizes out in a state suitable for further examination. modifications to stas's method, proposed by otto. in stas's method, the loss of morphine is possible, for, if ether is not added immediately after the addition of carbonate of soda, this alkaloid crystallizes and is then no longer soluble in that menstruum; and, if the ethereal solution is not quickly decanted, the portion dissolved will likewise separate out in small crystals. in both cases, morphine will remain in the aqueous solution from which the other alkaloids have been extracted by the ether. _m. otto_ recommends the addition of chloride of ammonium and a little soda-lye, in order to dissolve the alkaloid. upon allowing the solution so obtained to stand for some time exposed to the air, crystals of morphine are deposited. according to the same authority, it is advisable to omit the distinction drawn by stas between volatile and fixed alkaloids, and submit both to the treatment recommended for those that are volatile. otto also recommends the agitation of the fluid containing the oxalates or tartrates of the alkaloids with ether, previously to their separation by means of bicarbonate of soda. by this treatment the elimination of the coloring matter present--as well as of _colchicine_, _digitaline_, _picrotoxine_, traces of _atropine_, and various impurities--is accomplished. as soon as the ether ceases to become colored and to leave a residue upon evaporation, alkali is added, and the operation concluded as usual. in this way the alkaloid is obtained, almost directly, in a pure condition. this last modification appears to us to be a very happy one, inasmuch as it greatly facilitates the purification of the alkaloid present. modifications to stas's method, proposed by uslar and erdman. st. the materials to be examined are brought to the consistence of a thin paste, and digested for about two hours with water, to which some hydrochloric acid has been added, at a temperature of ° to °. the mixture is then filtered through a moistened linen cloth, and the residue washed with warm acidulated water; the washings being added to the solution. nd. some pure quartz sand--or, preferably, silica prepared by the decomposition of fluoride of silicium--is added to the filtrate, the fluid supersaturated with ammonia, and evaporated to dryness over a water-bath: the addition of silica renders the residue friable. rd. the residue is boiled repeatedly with amylic alcohol, which extracts all the alkaloid present as well as the fatty and coloring matters, and the extracts filtered through filter paper that has been moistened with amylic alcohol. th. the filtered fluid is thoroughly agitated with ten or twelve times its volume of almost boiling water acidulated with hydrochloric acid: the hydrochlorate of the alkaloid present goes into the aqueous solution, the fatty and coloring substances remaining dissolved in the oily supernatant layer. the latter is separated by means of a pipette, and the acid aqueous solution shaken with fresh quantities of amylic alcohol until completely decolorized. th. the aqueous solution is then concentrated, ammonia added, and the mixture well shaken with warm amylic alcohol, in which the alkaloid dissolves. as soon as the solution forms a supernatant layer upon the surface of the fluid, it is drawn off with a pipette and evaporated on a water-bath. in this manner, the alkaloid is usually obtained in a sufficient state of purity to admit of its immediate identification; if, however, a small portion turns brown when treated with concentrated sulphuric acid, the process of purification must be repeated. under these circumstances it is re-dissolved in dilute hydrochloric acid, the solution repeatedly shaken with amylic alcohol, in order to extract the impurities present, and the alkaloid then extracted with ammonia and amylic alcohol, as previously directed. the method of _von uslar_ and _erdman_ differs from that of stas merely in the substitution of amylic alcohol for ether, and of hydrochloric acid for oxalic or tartaric acid. it offers no advantages over stas's method if the alkaloids present are soluble in ether but is even less advantageous in this case, inasmuch as its execution requires a longer time. in cases where the detection of morphine, or an unknown alkaloid, is desired, the use of amylic alcohol instead of ether is, it is true, preferable; still, with the exercise of care, ether can also be employed, and, as this process greatly facilitates examinations when no clew to the poison present exists and all alkaloids may possibly be absent, we prefer it to the one just described. rodgers and girdwood's method. this method--which as yet has only been employed in the detection of strychnine--is based upon the solubility of this alkaloid in chloroform. the substances under examination are digested with dilute hydrochloric acid, and the mixture filtered. the filtrate is then evaporated to dryness on the water-bath, the residue taken up with pure alcohol, the alcoholic solution evaporated, the second residue treated with water, and the solution so obtained filtered. the filtrate is next supersaturated with ammonia, and well shaken with chloroform, which, upon being separated by means of a pipette and evaporated, leaves the alkaloid in an impure state. concentrated sulphuric acid is then poured upon the alkaloid: the latter is not affected by this treatment, whereas the foreign organic substances present are carbonized. after the lapse of several hours, the mixture is treated with water, the fluid filtered, and the strychnine extracted from the filtrate by means of ammonia and chloroform, as already described. the operation is repeated until the residue obtained by evaporating the chloroform is no longer affected by the treatment with sulphuric acid. prollius's method. the suspected substances are boiled with aqueous alcohol, mixed with tartaric acid, and evaporated at a gentle heat. the remaining aqueous solution is then passed through a moistened filter, ammonia added to the filtrate, and the mixture shaken with chloroform. the chloroform is separated, the last trace of the original solution removed by washing with water, three parts of alcohol added, and the fluid evaporated. if strychnine be present, it will now separate out in crystals. this method is applicable only in presence of a considerable quantity of strychnine, and is less serviceable than the one preceding. graham and hofman's method. this method, which is applied to the detection of strychnine in beer, is founded upon the fact that an aqueous solution of a strychnine salt yields the alkaloid to animal charcoal, from which it can be subsequently extracted by boiling with alcohol. the beer to be examined is shaken with grammes of animal charcoal, and the mixture then allowed to stand twenty-four hours, with occasional shaking. the solution is next filtered, the animal charcoal washed with water, and boiled for half-an-hour with four times its weight of per cent. alcohol. the apparatus represented in fig. is employed, in order to avoid a loss of substance in this operation. [illustration: fig. .] the alcohol is filtered hot, evaporated, and the residue obtained treated with a small quantity of solution of potassa, and then agitated with ether. upon spontaneous evaporation, the ethereal solution leaves the strychnine present in a comparatively pure state. _macadam_ proposes to use this process for the detection of strychnine in animal bodies. for this purpose, the suspected materials are heated with a solution of oxalic acid, as in stas's method, and the strychnine detected in the filtered solution in the manner just described. this method is scarcely to be recommended: the use of animal charcoal is doubtless serviceable in the examination of beer, as it effects the separation of a small amount of strychnine from a large quantity of fluid, but its application to other researches is much less to be advised. application of dialysis in the detection of alkaloids. in order to apply the dialytic method to the separation of alkaloids, the suspected substances are heated with hydrochloric acid, and the solution introduced into the dialyzer. the hydrochlorates of the alkaloids, being crystalline bodies, transverse the membrane, and are contained, for the greater part, after twenty-four hours, in the outer solution. the fluid is then concentrated, and the alkaloids either directly precipitated, or purified by one of the preceding methods. identification of the alkaloid. the alkaloid having been isolated by one of the preceding methods, it remains to establish its identity. owing to the small number of reactions characteristic of organic compounds, this is a matter of considerable difficulty. there are two cases possible: the alkaloid may either be volatile or fixed. the alkaloid is volatile. in this case it may consist of nicotine, conine or aniline: less known alkaloids (piccoline, etc.) may also be present. we will confine ourselves to the consideration of the three first mentioned. the alkaloid is divided into several portions which are placed on watch-glasses and submitted to the following tests: _a._ a drop is treated with nitric acid: this may, or may not, impart a red tint to the alkaloid; if it does, another drop is treated with dry hydrochloric acid gas: if it assumes a deep violet color, it probably consists of _conine_. _b._ in case a red color was not produced by the addition of nitric acid, another drop is treated with chloride of lime. if it acquires a violet tint, and two other drops, when heated, one with arsenic acid, the other with nitrate of mercury, become red, the body present consists of _aniline_. or an homologous base. _c._ should the above tests fail to give positive results, and the substance, when treated with chlorine, assumes a blood-red color, and with hydrochloric acid does not change in the cold but turns to a deep violet color upon boiling, it probably consists of _nicotine_. the alkaloid is fixed. a very minute quantity is dissolved in the smallest possible amount of hydrochloric acid, and an excess of ammonia added. three cases are now possible: (_a_) a precipitate, insoluble in an excess of the precipitant, is immediately formed; (_b_) a precipitate is formed, which, at first dissolves, but is subsequently deposited from the fluid; (_c_) no precipitate is produced, or, in case one forms, it dissolves in an excess of the precipitant and fails to separate out upon allowing the fluid to stand. _a. ammonia produces a permanent precipitate._ a small quantity of an aqueous solution of carbonic acid is poured over the alkaloid in the water-glass, and notice taken whether it dissolves or not: in either case the mixture is evaporated on a water-bath to dryness, in order to avoid a loss of substance. carbonic acid fails to dissolve the alkaloid. after the evaporation is completed, ether is added to the watch-glass: the alkaloid may, or may not, be dissolved. the ether is then evaporated at the ordinary temperature of the air. _ether fails to dissolve the alkaloid._ it probably consists of _berberine_. in this case, it will possess a yellow color, and its hydrochlorate will give a reddish-brown precipitate upon addition of sulphide of ammonia. _ether dissolves the alkaloid._--a small portion is treated with nitric acid. if an intense green coloration is produced, the remaining portion is dissolved in ether, and an ethereal solution of oxalic acid added. if the precipitate now formed does not dissolve upon the addition of a little water, there is reason to suppose the presence of _aricine_. provided the addition of nitric acid did not produce a coloration, the mixture of the alkaloid and this acid is treated with a small quantity of sulphuric acid: if the fluid now acquires a red color, the substance probably consists of _narcotine_. should both nitric and sulphuric acids fail to cause a reaction, the alkaloid is dissolved in ether, precipitated by an ethereal solution of oxalic acid, and the precipitate treated with a little water. if it dissolves, it probably consists of _papaverine_. carbonic acid dissolves the alkaloid. the substance is treated with ether, notice being taken if it dissolves, which is evaporated at the ordinary temperature of the air so as to prevent a loss of minute portions of the alkaloid. _ether dissolves the alkaloid._--if nitric acid gives first a scarlet, then a yellow color, sulphuric acid a yellow, changing to red and violet, and hydrochloric acid a violet color, the alkaloid present is probably _veratrine_. if the above colorations are not produced, chlorine water is added to another portion of the substance, then ammonia; the formation of a green color, changing to violet and turning red upon a renewed addition of chlorine water, denotes the presence of _quinine_. in case all of these tests give but negative results, and the alkaloid is soluble in concentrated sulphuric acid, a solution being formed which assumes a reddish-violet tint when stirred with a glass rod previously dipped in bromine water, the presence of _delphine_. is indicated. _ether fails to dissolve the alkaloid._--if the substance is capable of being sublimed,[n] it consists of _cinchonine_. [n] cinchonine, when sublimed, condenses in minute brilliant needles.--_trans._ _b. ammonia produces a precipitate, which redissolves in an excess of the precipitant, but separates out after the lapse of an hour._ the substance is treated with cold absolute alcohol and its solubility in this menstruum noted. if it readily dissolves, it probably consists of _brucine_. the presence of this alkaloid is confirmed by applying the following tests: ( ) nitric acid imparts a blood-red color to the substance; ( ) if treated with sulphuric acid, it acquires a reddish tint which subsequently changes to yellow and green; ( ) chlorine at first fails to cause a coloration, but after some time a yellow color which afterwards changes to a red is produced; ( ) upon treating the substance with bromine, it immediately assumes a violet tinge. in case the alkaloid is only slightly soluble in alcohol, there is reason to infer the presence of _strychnine_. the following confirmatory tests should be applied: ( ) if the substance is treated with a mixture of sulphuric acid and an oxidizing body, such as bichromate of potassa, binoxide of manganese, or peroxide of lead it acquires a violet color, which changes into red and finally passes into a clear yellow; ( ) the addition of bichloride of platinum produces a precipitation of the hydrochlorate. should, however, the substance be only slightly soluble in alcohol, and the above reactions fail to take place, the presence of _solanine_. is indicated. in presence of this alkaloid the following reactions will occur: ( ) upon treating the substance with concentrated sulphuric acid, it assumes a rose tint, which changes after some time has elapsed first to a deep violet, then to a brown color; ( ) a solution of a salt of the alkaloid reduces gold and silver salts; ( ) the addition of oxalic acid produces a precipitate in the aqueous and even acid solution of its salts. _c. ammonia fails to produce a precipitate, or redissolves permanently the one formed._ the solubility of the alkaloid in ether is ascertained. if it be soluble, it may consist of aconitine, atropine or codeine; if insoluble, of emetine or morphine. _the alkaloid is soluble in ether._--if bichloride of platinum fails to precipitate the hydrochlorate from a neutral solution of the alkaloid, and sulphuric acid causes it to assume a yellow color which subsequently changes to a reddish-violet, it probably consists of _aconitine_. in case bichloride of platinum causes a precipitate and sulphuric acid fails to produce the yellow coloration referred to above, the presence of either atropine or codeine is indicated. in order to decide which of these bases is present, the substance is dissolved in pure chloric acid and the solution allowed to spontaneously evaporate. if the alkaloid is deposited during this operation, it probably consists of _atropine_. if this is not the case, there is reason to infer the presence of _codeine_. _the alkaloid is insoluble in ether._--if it dissolves in acetone it probably consists of _emetine_. if acetone fails to dissolve it, the presence of _morphine_. is indicated. the following confirmatory tests should be applied: ( ) upon treating the substance with nitric acid, it acquires a blood-red color; ( ) the addition of a solution of a persalt of iron produces an evanescent blue coloration; ( ) chloride of gold is colored blue, when treated with the alkaloid; ( ) the substance reduces iodic acid: this reduction is detected by adding to the acid a little starch-paste, which turns blue upon the liberation of the iodine; ( ) permanganate of potassa, if heated with the substance, is reduced and acquires a green color. identification of digitaline, picrotoxine and colchicine. it has already been remarked that in exhausting the first acid solution with ether--previous to the neutralization, according to otto's method--colchicine, a weak alkaloid, digitaline, an indefinite mixture, picrotoxine (which appears to possess the properties of an acid), and traces of atropine, pass into solution. the ether is evaporated on a water-bath to dryness, the residuary mass treated with slightly warmed water and the solution filtered from the undissolved resinous matter. the aqueous solution is next rendered feebly alkaline by addition of soda lye, and then well agitated with ether, until this fluid ceases to leave a residue upon evaporation. the ethereal solution is now decanted, and the water present removed by means of chloride of calcium. if it is evaporated, a residue containing the _colchicine_, _digitaline_ and traces of atropine (mixed possibly with a minute quantity of picrotoxine, which is here left out of consideration) is obtained. _a._ the _alkaline solution_, from which the ether has been removed, is acidulated with hydrochloric acid and again shaken with ether. the _picrotoxine_ present is now dissolved, and upon dehydrating (by means of fused chloride of sodium) and evaporating the ethereal solution can be obtained in crystals. the crystals of picrotoxine are easily recognized by their forming in feathery tufts as well as by their length and silky brilliancy. should crystals fail to form in a short time, it is advisable to take up the residue, left by the evaporations of the ether, with slightly warmed alcohol, and to allow the latter to spontaneously evaporate on a watch-glass, or, if the quantity of substance is exceedingly minute, on the slide of a microscope. after determining the form of the crystals, it should be ascertained that they possess an intense bitter taste and exhibit the other characteristic properties of picrotoxine. the following reaction is distinctive: if the crystals are dissolved in an aqueous solution of soda and a few drops of "fehling's solution"[o] added, a reddish precipitate of cuprous oxide is formed. [o] an alkaline solution of tartrate of copper, employed in the examination of sugar, urine, and wine.--_trans._ _b._ provided picrotoxine has not been found, the _ethereal solution_ obtained by agitating the alkaline fluid with ether is to be examined for colchicine and digitaline. to this end, the residue obtained upon evaporating the solution to dryness is taken up with water, and the filtered fluid tested as follows: . it is ascertained if a drop of the solution possesses the bitter taste of digitaline. . another drop is treated with solution of tannin; if either alkaloid be present, a precipitate is formed. . two drops of the solution are next tested: one with tincture of iodine, the other with chloride of gold. these reagents precipitate colchicine, but do not affect solutions of digitaline or picrotoxine. unfortunately traces of atropine, possibly present, would cause the same reaction; the test therefore fails to be conclusive. . several portions of the solution are evaporated on watch crystals. concentrated nitric acid is added to one portion: if colchicine be present, an evanescent violet coloration is produced, which changes to a light yellow upon addition of water, and to a pure yellow or reddish-orange color, if the mixture is saturated with a slight excess of caustic alkali. . another portion of the residue is dissolved in a few drops of concentrated sulphuric acid, and the solution stirred with a glass rod moistened with bromine water: in presence of digitaline a violet-red color is produced. this coloration is more distinct when a small quantity of the alkaloid and an excess of sulphuric acid are present. . if a large amount of substance is at hand, the residue can be boiled with hydrochloric acid, and the green or brownish color and characteristic odor of digitaline produced, in case this body be present: this, however, is not a very delicate test. . finally; it is advisable when the presence of digitaline is suspected to ascertain its physiological action. for this purpose, a minute quantity of the substance is placed upon the heart of a frog: in presence of the alkaloid, the pulsations are immediately retarded, or even arrested. * * * * * although by means of the tests given above the existence of a special alkaloid, or of one of the ill-defined substances just mentioned, may be justly regarded as probable, its presence has not yet with certainty been demonstrated. this is especially true in cases where the compound possesses but few characteristic properties. when possible, the suspected substance should be obtained in a crystaline form, and then compared by aid of the microscope--if the small quantity present permits of no other examination--with crystals of the pure alkaloid, prepared under the same conditions. in case or even centigrammes of substance are at hand, it is best to convert the alkaloid into its hydrochlorate, and evaporate the solution of this salt to dryness. the residue, after being weighed, is dissolved in water, and a solution of sulphate of silver added. the precipitate of chloride of silver formed is collected and carefully weighed, in order to calculate the weight of the chlorine contained in the hydrochlorate and consequently the molecular weight of the alkaloid. the filtrate from the chloride of silver, which contains the alkaloid in the state of sulphate, is treated with hydrochloric acid, to remove the excess of silver present and the fluid then filtered. the filtrate is next shaken with potassa and ether. upon decanting and evaporating the ethereal solution, a residue consisting of the alkaloid present is obtained, which is then purified by crystallization from alcohol. an elementary analysis of the alkaloid is now executed. _certainty_ as to the presence of an individual alkaloid is attainable only when the execution of this confirmatory test is possible. the reactions previously described can be performed with fifteen centigrammes of substance, and this amount is sometimes contained in a cadaver. if but one or two centigrammes are at hand, it is still possible to detect the presence of an alkaloid; a conclusion, however, as to _which_ cannot be arrived at, especially if the substance found is a liquid or an amorphous body, and one that presents few distinctive properties. iii. methods to be employed, when no clew to the nature of the poison present can be obtained. if poisoning has been caused by the administration of a mixture of numerous substances and these greatly differ in their properties, it is impossible to demonstrate in an incontestible manner the presence of each individual poison. this contingency fortunately but seldom arises; the criminal usually has recourse to one or two poisons, the detection of which is possible. it must not be imagined, however, that the presence of a poison in an organ can at once be detected with certainty by the mere application of a few tests; because, in searching for a substance which is absent, we may unwittingly destroy the one present, or, at least, transform it into combinations which would not allow of a definite conclusion as to its original condition. in order to follow a systematic method in researches of this nature, it is advisable to divide the materials under examination into three parts: one portion is preserved, in order to ascertain its physiological effects on animals, the chemical analysis having failed to give positive results. the other portions are submitted to analysis, but with slightly different objects in view; one is subjected to a series of tests which are adapted, under all circumstances, to place the chemist on the track of the poison present, and which, in some cases, may even give conclusive and definite results. should these tests furnish only _indications_ of the nature of the poison, the remaining portion serves, with the assistance of this information, to establish beyond doubt the identity of the substance. indicative tests. two cases may present themselves: the materials to be examined possess either an alkaline (or neutral) or an acid reaction. as the methods to be pursued in either of these cases differ somewhat, they will be treated separately. the substance possesses an acid reaction. the materials are mixed with water, placed in a retort provided with a delivery-tube which dips in a solution of nitrate of silver, and heated over a water-bath: if a _cyanide_ be present, hydrocyanic acid will be disengaged, and a white precipitate of cyanide of silver formed: this is examined as previously directed (_vide_ p. ). in case a precipitate is not produced by the above treatment, more water is added to the retort, and the mixture boiled for about an hour, care being taken to collect the evolved vapors in a well-cooled receiver. the portion remaining in the retort is thrown on a filter and the filtrate obtained united with the distillate. the residue remaining on the filter is next washed with boiling absolute alcohol, the washings being added to the aqueous solution. in this way, the suspected substances are divided into soluble and insoluble portions, which are examined separately, as directed below. _a._ liquid portion. if the addition of alcohol caused a precipitation of animal matters, these are separated by filtering the solution. the filtrate is then placed under a bell-jar over concentrated sulphuric acid until its volume is considerably reduced. the solution may contain organic and inorganic bases and acids. in order to detect all bodies that are present, the following course is pursued: ( ). a current of sulphuretted hydrogen is conducted through the solution: the precipitation of some metals, usually thrown down by this gas, may fail to take place in this instance, owing to the presence of organic substances; however, some metals are precipitated, even in presence of organic compounds, and organic acids are but seldom present. in case a precipitate is formed, it is mixed with pure silica, collected on a filter, and treated with nitric acid. if the precipitate fails to dissolve, it is treated with _aqua regia_. in either case, the solution obtained is examined for metals by the ordinary methods. ( ). the solution in which sulphuretted hydrogen failed to produce a precipitate, or the filtrate separated from the precipitate formed, is divided into two parts: one portion is treated with ether and a solution of potassa; the other with ether and a solution of soda. both mixtures are then well agitated, and notice taken if the ether dissolves any thing: if so, the operation is repeated several times until all soluble substances are removed. the ethereal solutions are next decanted and united, and then submitted to the examination for alkaloids as directed pp. - . ( ). if--the above treatment giving either positive or negative results--a precipitate insoluble in ether is formed by the addition of potassa or soda, it is collected on a filter, washed, and dissolved in an acid. the solution is then tested for mineral bases. ( ). in case no definite result has been obtained by the preceding operations, one of the portions (for instance, the one to which potassa was added) is tested for the acids possibly present in the state of salts. the solution is divided into two parts (a and b) which are examined separately: portion a.--this is evaporated to dryness and the residue divided into four parts which are then tested for hydrofluoric, nitric, oxalic, and acetic and formic acids. _a._ hydrofluoric acid.--a portion of the residue is heated in a platinum crucible with sulphuric acid, and the crucible covered with the convex face of a watch-crystal coated with wax in which lines have been traced with a pointed piece of wood. if, after gently heating the crucible for some time and removing the watch-crystal, the lines traced in the wax are found to be etched in the glass, the substance under examination contains a _fluoride_. _b._ nitric acid.--if this acid be present, and a second portion of the residue is heated with sulphuric acid and copper, reddish-fumes are evolved. upon conducting the vapors into a solution of sulphate of iron or narcotine, the reactions already mentioned in treating of nitric acid take place. _c._ oxalic acid.--the third portion of the residue is heated with sulphuric acid, and the evolved gas carefully collected. it should then be confirmed by an elementary analysis that the gas consists of equal volumes of carbonic oxide and carbonic acid. this test is not conclusive; it is also necessary to ascertain if the precipitate produced by the addition of a baryta solution (_vide_: under portion _b._) produces the same reaction, inasmuch as other organic bodies could give rise to carbonic oxide and carbonic acid, and the danger of both admitting the presence of oxalic acid, when it is absent, and omitting its detection, in case it is present, would be incurred. _d._ acetic and formic acids.--the fourth portion of the residue is distilled with dilute sulphuric acid. after determining that a small portion, previously neutralized with a base, acquires a red color, upon addition of a solution of a persalt of iron, the distillate is divided into two parts. one portion is treated with bichloride of mercury: if _formic acid_ be present, metallic mercury is formed, with evolution of carbonic acid which produces turbidity in lime-water. the remaining portion of the fluid is digested, in the cold, with an excess of litharge: in presence of _acetic acid_, a soluble basic salt of lead, possessing an alkaline reaction, is produced. portion b.--the second portion of the solution is supersaturated with nitric acid, and this neutralized by addition of a slight excess of ammonia. the ammonia is then expelled by boiling the fluid, and a solution of nitrate of baryta added. if a _precipitate_ forms, it is collected and subsequently examined for sulphuric, phosphoric, oxalic and boric acids as directed below. the _filtrate_ is preserved and tested for hydrochloric, hydrobromic and hydriodic acids. _a._ oxalic acid.--a portion of the precipitate produced by the addition of nitrate of baryta is submitted to the test mentioned under the treatment of portion _a_. _b._ sulphuric acid.--if an insoluble residue remains upon treating the remainder of the precipitate with dilute hydrochloric acid, it consists of sulphate of baryta and indicates the presence of _sulphuric acid_. _c._ phosphoric acid.--an excess of solution of alum and ammonia is added to the portion of the precipitate dissolved in hydrochloric acid. if phosphoric acid be present, insoluble phosphate of alumina is precipitated. this is brought upon a filter: the _filtrate_ being preserved and subsequently examined for boric acid. upon boiling the precipitate with solution of silicate of potassa, silicate of alumina is thrown down, and phosphate of potassa remains in solution. chloride of ammonia is now added to the liquid--in order to eliminate the excess of silica from the silicate--and the solution filtered. the _filtrate_ is then tested for phosphates, by means of molybdate of ammonia (_vide_: _detection of phosphoric acid_, p. ). _d._ boric acid.--the filtrate from the precipitate of phosphate of alumina is evaporated to dryness, the residue mixed with sulphuric acid and alcohol, and the latter ignited. if the substance contains _boric acid_, the alcohol will burn with a _green_ flame. the _filtrate_, separated from the precipitate produced by the addition of nitrate of baryta, may contain hydrochloric, hydrobromic and hydriodic acids. in order to detect these compounds, some nitrate of silver is added to the solution, and the precipitate that may form carefully washed and decomposed by fusion with potassa. the mass is then dissolved in water, and the solution submitted to the following tests: _e._ hydriodic acid.--some starch paste and nitric acid--containing nitrous acid in solution--are added to a portion of the solution: in presence of an _iodide_, the fluid immediately acquires a blue color. _f._ hydrobromic acid.--in case iodine has not been detected, chlorine water and ether are added to a second portion of the fluid, and the mixture well agitated. if _bromine_ be present, the ether will assume a _brown_ color. in case iodine is also contained in the fluid, and the detection of bromine is desired, it is necessary to acidulate the solution with hydrochloric acid, and then shake it with chloride of lime and bisulphide of carbon. the bisulphide of carbon dissolves the iodine, acquiring a _violet_ color, which disappears upon a renewed addition of chloride of lime; whereas, in presence of bromine an _orange_ coloration remains, even after the disappearance of the iodine reaction. _g._ hydrochloric acid.--since the substance under examination will already contain hydrochloric acid, it is unnecessary, in most cases, to institute a search for this compound. nevertheless, it may be well to take a quantity of the solution, corresponding to a known weight of the original substance, and precipitate the acid by adding nitrate of silver. the precipitate formed is dried and weighed. it is then heated in a current of chlorine, in order to completely convert it into chloride of silver, and its weight again determined. only in case the amount of chloride found is very large, is it to be inferred that the poisoning has been caused by hydrochloric acid. _h._ hydrosulphuric acid.--(_sulphuretted hydrogen_). if the precipitate produced by nitrate of silver possesses a black color, it may consist of a _sulphide_. upon treating a portion with solution of hyposulphite of soda, all but the sulphide of silver is dissolved. in case a residue remains, it is calcined with nitrate of soda, and the sulphate formed detected by adding a soluble barium salt to its solution. sulphates, chlorides, carbonates and phosphates are most frequently met with in the preceding examination, and it should be carefully noticed which of these salts exist in the greatest abundance. if acids of comparatively rare occurrence (such as the oxalic and tartaric) are found, their approximate amount is also to be noted. these facts, together with the original acidity of the materials and the absence of other toxical bodies, would lead to the conclusion that the poisoning was caused by the reception of an acid, as well as to the identification of the special acid used. in subsequently effecting the detection of the poison by the determinative tests, the danger of destroying other poisons possibly contained in the substance will be obviated, as the question of the absence or presence of these latter will have been previously decided. ( ). the examination for acids concluded, the various fluids which have accumulated, and from which the acids present have been separated, are united and the whole evaporated to dryness. the organic substances, present in the residue obtained, are destroyed by means of nitric acid, and the residual mass examined for _soda_. if this substance has not been introduced into the portion of fluid examined, and is discovered in a quantity largely in excess of the amount normally contained in the organism, it is probable that poisoning has been caused by its administration, and that an acid has also been given, either in order to mask the poison, or to act as an antidote. in this case, it is necessary to carefully search for acetic acid, as this is the substance usually employed as an antidote for alkalies. ( .) whatever results have been obtained by the preceding examinations, the portion of the fluid which has been treated with soda (_vide_ p. ) is evaporated to dryness. the organic matters possibly present are destroyed by means of nitric acid, or _aqua regia_, and the residue taken up with water. the solution so obtained is then examined for metals (including potassa, which salt has not been introduced into this portion of the fluid in any of the preceding operations) by the usual methods. ( ). the soluble portion of the suspected materials having been thoroughly tested, the undissolved substances remaining on the filter are next examined. _b._ solid portion. ( ). the organic matter present is first destroyed by treatment with _aqua regia_. the fluid is then evaporated to dryness, and the residue heated until the nitric acid is entirely expelled; the escaping vapors being collected in a cold receiver. the residue is next taken up with water, the solution filtered, and sulphuric acid added. should a precipitate of sulphate of lime, sulphate of baryta or sulphate of strontia form, it is separated from the fluid and further examined. the filtered solution is then introduced into marsh's apparatus, sodium amalgam being employed for generating the hydrogen, and tested for _arsenic_ and _antimony_ by means of the reactions previously given. ( ). whether one of the above poisons be discovered or not, the still acid fluid is removed from the flask, a current of chlorine conducted through it for several hours and the solution then examined for _mercury_ by flandin and danger's method. in case mercury is found it could scarcely have originated from the metal in marsh's apparatus, as this would not be attacked by cold dilute sulphuric acid: however, to remove all doubts, the test should be repeated with a portion of the substances reserved for the examination by the determinative tests. ( ). whatever have been the results of the above examinations, it is still to be ascertained if the fluid, which has been successively treated by marsh's and flandin and danger's methods, does not contain other metals. this is accomplished by means of the ordinary reactions. the substance possesses a neutral or an alkaline reaction. the examination is conducted in precisely the same manner as in the preceding case, excepting that the materials are first acidulated with oxalic or tartaric acids. particular attention should be given to the search for soda, potassa, lime, baryta and strontia, and the determinative tests subsequently applied according to the indications obtained. determinative tests. in many instances the tests we have termed indicative become determinative in their character. this is the case when the isolation of an alkaloid or a metal (unless mercury be found under the circumstances already mentioned) is accomplished; the results obtained are then _conclusive_. if, on the other hand,--not being able to separate either an alkaloid or a metal--upon saturating the originally acid fluid with potassa, or soda, the salts of these bases have been found in abundance, there is reason to _infer_ that the poisoning has been caused by an acid; or, if, after the neutralization of the originally alkaline solution with an acid, potassa or soda are discovered in a large quantity, poisoning by an alkali is _indicated_. in case the fluid is neutral, but more or less colored and odoriferous, and iodides or bromides are detected, we may justly _suspect_ that the poisoning has been caused by the reception of iodine or bromine. according to the indications furnished, iodine, bromine, one, or all of the acids, the caustic alkalies, etc., are then detected by means of the methods to be employed in cases where the expert has a clew to the poison present. in this manner, the presence of potassa and soda, and of bromine and iodine, even in mixtures, is easily ascertained. it only remains to mention the course to be pursued when suspicion exists that poisoning has been caused by the administration of a mixture of several acids. the suspected materials are boiled with water, and alcohol added to the solution in order to coagulate the animal matters. the solution is next filtered, the filtrate placed in a retort provided with a receiver and distilled until the residual portion acquires a pasty consistency. in this way, the acids present are separated into two classes: (_a_) those that are sufficiently volatile to have passed into the receiver, such as, acetic, nitric, hydrochloric and sulphuric acids (the latter acid will only be partially volatilized); and (_b_) those that remain in the retort. the former are detected by examining the distillate as previously directed. the residue remaining in the retort is treated with absolute alcohol, the fluid filtered, and a solution of acetate of lead added to the filtrate: sulphuric, phosphoric and oxalic acids, if present, are precipitated. the precipitate is suspended in water and decomposed by means of sulphuretted hydrogen. the acids contained are now set free, and are detected by applying the tests already mentioned. if there be reason to suspect the presence of both sulphuric and oxalic acids, the distillation is discontinued after a short time. the two acids are dissolved by shaking the moderately concentrated fluid remaining in the retort with ether, and, upon evaporating the solution, will be obtained in a state suitable for examination. oxalic acid is then detected by means of sulphate of lime; sulphuric by means of oxalate of baryta. the above examinations would fail to effect the detection of _phosphorus_, and it is necessary to examine a separate portion of the original substance for this body. iv. miscellaneous examinations. determination of the nature and color of the hair and beard. a criminal, in order to conceal his identity, may change the color of the hair and beard by artificial means; either to a darker shade, in case they were naturally of a light color, or, to a lighter hue, if they were originally dark, and the chemical expert may be called upon to detect this artificial coloration, and restore the original color of the hair. it may also happen, that portions of hair still adhere to the clots of blood sometimes found on an instrument which has been employed in the commission of a crime, and consequently the question may arise as to the nature of the hair, whether it be human or animal. determination of the color of the hair and beard. the mode of examination necessary when the hair has been blackened is different from that used when it has been decolorized. _the hair has been blackened._ as various methods of dyeing hair black are in use, the means of restoring the original color differ. the following are the methods most usually employed in dyeing: º. the hair is well rubbed with a pomade, in which finely pulverized charcoal is incorporated. this preparation, which is sold under the name of "_mélaïnocome_," possesses the disadvantage of soiling the fingers and clothing, even for several days after its application. º. the hair is moistened with a dilute solution of ammonia, and a perfectly neutral solution of a bismuth salt (chloride or nitrate) is then applied. it is subsequently washed, and allowed to remain in contact with a solution of sulphuretted hydrogen. º. the same operation is performed, a lead compound being substituted for the bismuth salt. º. a mixture of litharge, chalk, and slacked lime is applied, and the head covered with a warm cloth. the hair is afterwards washed, first with dilute vinegar, then with the yolk of an egg. º. the hair is first cleansed with the yolk of an egg, and then moistened with a solution of plumbate of lime; or, º. it is moistened with a solution of nitrate of silver, to which a quantity of ammonia sufficient to dissolve the precipitate first formed has been added. the first method merely causes a mechanical admixture of a coloring matter with the hair. in the four succeeding processes, a black metallic sulphide is produced; either by the subsequent application of a solution of sulphuretted hydrogen, or by the action of the sulphur normally present in the hair. in the last method, the formation of sulphide of silver doubtless occurs; but the principal change that takes place is probably due to the action of light, which, as is well known, decomposes the salts of silver. in order to restore the original color to hair which has been treated with "_mélaïnocome_," it is only necessary to dissolve in ether the fatty matters present, and then remove the charcoal by washing with water. in case the hair has been dyed by means of a bismuth or lead salt (as in methods , , and ), it is immersed for several hours in dilute hydrochloric acid: the metal present dissolves, as chloride, and the original color of the hair is rendered apparent. it then remains to detect the metal dissolved in the acid solution, in order to establish, beyond doubt, the fact that a dye has been employed. this is accomplished by means of the methods used for the detection of metals in cases of supposed poisoning. if, finally, an ammoniacal solution of nitrate of silver has been employed to cause the coloration, the hair is immersed, for some time, in a dilute solution of cyanide of potassium, and the fluid subsequently examined for silver. in case a portion of the salt has been converted into the sulphide, it will be difficult to restore the original color, as the removal of this compound is not easily effected. _the hair has been decolorized._ black hair can be bleached by means of chlorine-water, the various shades of the blonde being produced by the more or less prolonged action of the reagent. in this case, the odor of chlorine is completely removed only with great difficulty, and the hair is rarely uniformly decolorized. the expert may therefore be able to observe indication that will greatly assist him in arriving at a definite conclusion. the hair should be carefully examined up to the roots: if several days have elapsed since the decolorization has been performed, the lower portion of the hair will have grown and will exhibit its natural color. no method has yet been proposed that restores the original color to bleached hair. it is very possible, however, that this end would be attained by allowing nascent hydrogen to act upon the decolorized hair. for this purpose, it would be necessary to immerse it in water containing some sodium amalgam, and slightly acidulated with acetic acid. determination of the nature of the hair. in examinations of this character use is made of the microscope. the hair to be examined is suspended in syrup, oil, or glycerine and placed between two thin glass plates. human hair is sometimes cylindrical; sometimes flattened. it consists either of a central canal, or of a longitudinal series of oblong cavities which contain oily coloring matter, and possesses the same diameter throughout its entire length. the brown hair of the beard and whiskers, medium-sized chestnut hair, the hair of a young blonde girl, and the downy hair of a young man possess respectively a diameter of . to . ; . to . ; . ; and . to . millimetres. these exhibit on the surface slightly projecting scales, which are irregularly sinuous at the border, separated from each other by a space of about . m.m., and are transparent, whatever may be their color. the hair of ruminants is short and stiff, and is characterized by containing cavities filled with air. wool, however, forms an exception, as it consists of entire hairs, homogeneous in appearance and possessing imbricated scales, which bestow upon it the property of being felted. the hair of the horse, ox and cow never exceeds m.m. in length, and is tapering, its diameter gradually diminishing from the base. it is perfectly opaque, and does not appear to possess a central canal; has a reddish color, and frequently exhibits lateral swellings, from which small filaments occasionally become detached, in the same manner as a twig separates itself from the parent branch. examination of fire-arms. (_proposed by m. boutigny._) the examination of fire-arms is sometimes useful in determining the date at which a weapon has been discharged or reloaded. the methods used in examinations of this nature vary, as the weapon under inspection is one provided with a flint or an ordinary percussion lock. the value of the tests employed is also affected by the kind of powder used; _i. e._, whether common gunpowder, gun-cotton or white gunpowder (prepared by mixing yellow prussiate of potassa, chlorate of potassa and sugar) has been taken. the gun is provided with a flint-lock, and was charged with ordinary powder. in case the weapon has been wiped or exposed to moisture subsequent to its seizure, it is impossible to form any conclusion as to the date of its discharge, etc. it is therefore advisable, upon receiving the weapon, to carefully wrap the lock in a woollen cloth, and to close the barrel. the exterior of the gun is at first submitted to a careful examination, and notice taken of the approximate thickness of any existing rust spots. the fire-pan and adjacent portion of the barrel are also examined by aid of a magnifying glass, especial attention being given to the detection of traces of a moist and pulverulent incrustation of a greyish or blackish color, formed by the combustion of the gunpowder, and of crystals of sulphate of iron. if the weapon is loaded, the wad is withdrawn and the color of its cylindrical portion and of the powder, as well as the size of the ball or shot, noted. this preliminary examination ended, the barrel and fire-pan are separately washed with distilled water, and the washings passed through filter paper which has previously been well washed, first with pure hydrochloric acid, then with distilled water. the filtrate is next divided into three portions, and these separately examined for: ( ) sulphuric acid, by addition of chloride of barium; ( ) for iron, by oxidizing the salts contained in the fluid with a few drops of nitric acid and adding a solution of ferrocyanide of potassium, the presence of iron being indicated by the formation of a blue coloration, or a blue precipitate; and ( ) for sulphides, by means of a solution of subacetate of lead. if a bluish-black incrustation is discovered on the fire-pan or on the neighboring portions of the barrel, and both rust and crystals of sulphate of iron are absent, and the washings, which were originally of a light-yellow color, assume a chocolate-brown coloration upon the addition of solution of subacetate of lead, _the gun has been discharged within two hours at the longest_. if the incrustation possesses a lighter color and traces of iron have been detected in the washings, but neither rust nor crystals have been discovered on the barrel or fire-pan, _the weapon has been discharged more than two, but less than twenty-four hours_. in case minute crystals of sulphate of iron and spots of rust are found, and the washings contain iron in a considerable quantity, _the weapon has been discharged at least twenty-four hours, at the longest ten days_. if the quantity of rust found is considerable, but iron is no longer to be detected, _the discharge of the gun occurred ten days, at the longest fifty days, previously_. _if the weapon has been reloaded immediately after its discharge without having been previously washed_, the portions of the wadding which have come in contact with the barrel will possess a greyish-black color during the first four days, the color gradually becoming lighter, until, at the fifteenth day, it turns grey and remains so permanently. in this case, the washings will contain sulphuric acid. the objection has been advanced to the last test that sulphuric acid might be discovered, even if the gun had not been discharged, if the paper of which the wadding was made contained plaster. m. boutigny states, however, that this objection is untenable, if the wadding has not been moistened by the water introduced into the barrel. _in case the gun has been washed and dried before being reloaded_, the cylindrical portion of the wadding possesses an ochre-yellow color up to the first or second day, assumes a decided red hue on the days following, and acquires a clear rusty color on the sixth day. during the fifth day the powder also possesses a reddish appearance, owing to an admixture of rust. sulphuric acid is not present in the washings. _if the weapon has been reloaded immediately after being washed_, the wadding possesses a greenish-yellow appearance for the first few hours, and subsequently acquires a reddish color, as in the preceding case. _if, finally, the barrel has been washed with turbid lime-water_, rust is still to be found and the wadding possesses the color mentioned above. the following colorations are also to be observed in case the gun has not been washed, or has been dried near a fire: barrel dried near a fire. unwashed barrel. after day slight reddish yellow color greenish yellow color. or days a little darker " reddish-brown " days a redder " reddish-brown " or more days a rusty-red " rusty-red. " the gun is not provided with a flint lock. at present weapons having flint-locks have almost entirely gone out of use and have been superseded by the ordinary percussion gun; these latter, in turn, are being gradually replaced by breech-loaders, charged with or without a metallic cartridge. the indications obtained in the preceding examinations by means of the fire-pan, will therefore disappear; the results given by the inspection of the barrel may possibly hold good. in regard to breech-loaders, all the useful indications furnished by the coloration of the wadding and powder fail to occur; the latter being enclosed either in a paper cylinder or in a copper socket. the fact that gun cotton and white gunpowder are occasionally made use of, adds to the difficulty of obtaining reliable results by the mere inspection of a weapon. white gunpowder does not oxidize the gun, fails to give rise to any salt of iron, and possesses a white color; gun-cotton produces distinctive indications varying with its purity. owing to these facts, it is evident that the method proposed by m. boutigny is of no real value, save in the rare instances where a gun provided with a fire-pan, and charged with ordinary powder, is under examination, and the question of the lapse of time since the discharge of a weapon must remain undetermined so far as scientific tests are concerned. detection of human remains in the ashes of a fire-place. this class of examinations is particularly necessary when the crime of infanticide is suspected. as the complete incineration of a cadaver is a long and difficult operation, it frequently occurs that bones--partially or completely carbonized, but retaining their original form--are discovered by the careful examination of the ashes of the fire-place in which the combustion was accomplished. when this is not the case and complete incineration and disaggregation have occurred, recourse must be had to the indications furnished by a chemical analysis. these indications are reliable, however, only when the certainty exists that bones of animals have not been consumed in the same fire-place; otherwise, the results obtained are entirely worthless, the reactions given by ashes of animal bones being identical with those produced by the ashes of a human body. two tests are employed to detect the presence of bones in the residue left by the combustion of animal matter. . a portion of the ashes is placed in a silver crucible, heated with potassa, and the mass afterwards treated with cold water. if animal matter is contained in the consumed materials, cyanide of potassium will be present in the aqueous solution. in order to detect this salt, the fluid is acidulated with hydrochloric acid, and a solution of persulphate of iron added: the formation of a blue precipitate indicates the presence of the cyanide. . the ashes are next examined for phosphate of lime. as wood, coal, and the other substances usually employed for heating purposes contain none or little of this salt, its detection in a notable quantity would lead to the inference that bones have been consumed. the ashes are allowed to digest for twenty-four hours with one-quarter of their weight of sulphuric acid. water is next added to the pasty mixture, and the fluid filtered. if phosphate of lime be present, it is converted by this treatment into a soluble acid phosphate, which passes into the filtrate. upon adding ammonia to the filtrate, a precipitate of neutral phosphate of lime is formed, neutral phosphate of ammonia remaining in solution. the fluid is again filtered, the filtrate acidulated with nitric acid, and then boiled with a solution of molybdate of ammonia likewise acidulated with nitric acid: in presence of a phosphate, a yellow precipitate, or at least a yellow coloration of the fluid, will be produced. it has been stated that the disengagement of sulphuretted hydrogen, upon treating the ashes with sulphuric acid, is an indication that the combustion of a human body has occurred; this reaction is, however, valueless, inasmuch as coal and certain vegetable ashes likewise evolve the gas when subjected to the same treatment. examination of writings. contracts, checks, etc., are frequently altered with criminal intent, either by erasing the portion of the writing over the signature and substituting other matter, or by changing certain words, in order to modify the signification of a sentence. writings are altered either by erasure or by washing. erasure, although more easily executed, is seldom employed, as it renders the paper thin in places, and in this way leaves effects apparent even to the naked eye, and, although the original thickness can be restored by application of sandarac or alum, these substances possess properties differing from those exhibited by paper, and may, moreover, be completely removed, thus exposing the thinning of the paper. in case washing by means of chlorine has been resorted to, the sizing--which renders the paper non-bibulous, and which is only with difficulty replaced--may have been removed. formerly paper was sized by immersion in a solution of gelatine; at present, however, a soap of resin, or wax, and alumina (a little starch being added) is more commonly used. in the latter case, the sizing is less easily removed by the action of water than when the gelatine preparation is employed; the detection of its attempted restoration is also a matter of less difficulty, as gelatine would be employed for this purpose, and this body possesses properties different from those exhibited by the substances normally contained in paper: iodine, for instance, which imparts a yellow color to gelatine, turns starch violet-blue. in order to detect the alteration of a writing, the following examinations are made: º. the paper is carefully examined in all of its parts, and in various positions, by aid of a lens. in this way, either thinned points, caused by erasure, or remaining traces of words, may possibly be discovered. º. the paper is next placed upon a perfectly clean piece of glass, and completely and uniformly moistened with water. the glass is then removed, and the transparency of the paper examined by aid of a lens. when uniform transparency is exhibited, and certain portions are neither more transparent nor more opaque than the rest of the paper, it is probable that erasure has not been attempted. if, on the other hand, opaque points are observed, it is almost certain that letters have been erased, and sandarac, which is not affected by water, subsequently applied. in case transparent points are detected, there is reason to suspect that words have been removed, and the spots either left intact or afterwards coated with a substance soluble in water, such as alum. º. the paper is dried and the above operation repeated with alcohol of per cent. indications may now be observed which failed to occur in the treatment with water; as well as these latter confirmed. as alcohol dissolves sandarac, the points that formerly appeared opaque may now become transparent. º. the paper is again dried, then placed under a sheet of very thin silk-paper, and a warm iron passed over it. this operation frequently causes the reappearance of words that have been partially obliterated. it is also advisable--as suggested by _m. lassaigne_--to expose the paper to the action of iodine vapors. if alteration has not been attempted, the paper will acquire an uniform color; yellow, if sized with gelatine; violet blue, if sized with the mixture of soap, resin and starch. when, on the contrary, a subsequent sizing of gelatine has been applied in order to mask the alteration--the paper having been originally sized with the above mixture--it will assume in some portions a yellow, in others a violet-blue color. º. it is ascertained whether the paper possesses an acid reaction. if so, its acidity may result from the presence of hydrochloric acid, in case the paper was washed with chlorine, or of other acids. alum, used to disguise erasure, would also cause an acid reaction. the mere detection of acidity is, in itself, of little importance, as, in the manufacture of paper, the pulp is bleached by means of chlorine, and this reagent may not have been entirely removed by washing. if, however, the paper is acid only in certain spots, and these points produce a red coloration upon blue litmus paper, having the form of letters, the indication is of value. in order to ascertain if this be the case, it is advisable, before wetting the paper, to slightly press it upon a sheet of moist litmus paper: the acid spots will then leave a reddish trace upon the latter. º. the manuscript under examination is again spread upon a glass-plate, and a solution of tannin (or preferably, a solution of ferrocyanide of potassium containing one per cent. of the salt, and acidulated with acetic acid) applied by means of a brush. if the original writing was executed with ordinary ink (which has as its base tannate of iron), and the washing has been but imperfectly performed, it is quite possible that a blue coloration will be produced by the action of the ferrocyanide. it is, however, often necessary to apply the above reagents several times before the original writing becomes apparent; indeed, in some cases months have elapsed before the reaction has occurred. in case the alteration or destruction of the document is feared in the above test, it is well to previously provide the court with a certified copy, and then proceed with the examination. º. if the paper possesses a friable appearance, it has possibly been washed with sulphuric acid. this property may however originate from other causes, and the presence of the acid should be confirmed by washing the document with distilled water, and adding a solution of chloride of barium to the washings. the precipitate should form in a considerable quantity, as a slight cloudiness could be due to sulphates contained in the water used in the preparation of the pulp. if much sulphuric acid be present, it may be so concentrated by heating as to cause the carbonization of the paper. º. it is also well, should washing with sulphuric acid be suspected, to ascertain, by aid of a lens, if the filaments on the surface of the manuscript possess an inflated appearance. this would be caused by the escape of carbonic acid, originating from the action of sulphuric acid upon the carbonates contained in the water used in the manufacture of the paper. º. old ink is more difficult to remove than new, and it is therefore sometimes possible to cause the reappearance of old writings, over which words have been subsequently written. for this purpose, a solution containing per cent. of oxalic acid is applied with a fine brush over the suspected points. as soon as the ink disappears, the acid is immediately removed by washing with water, and the paper dried. upon now repeating the operation, the presence of a former writing may be detected after the complete disappearance of the words last written. º. according to _m. lassaigne_, when the same ink has not been used throughout a document, washing with dilute hydrochloric acid will demonstrate the fact. this acid, while causing the gradual obliteration of characters written with ordinary ink--the shade of the paper not being altered--produces a red color, if ink containing log-wood has been employed, and a green coloration, in case the ink used contained prussian blue. the expert may possibly be called upon to give evidence as to the existence of a "_trompe-l'oeil_;" as was the case in the trial of _m. de preigne_, which took place at montpelier in . a "_trompe-l'oeil_" consists of two sheets of paper, glued together at the edges, but having the upper sheet shorter than the other which therefore extends below it. this species of fraud is executed by writing unimportant matter on the uppermost sheet, and then obtaining the desired signature, care being taken that it is written on the portion of the paper projecting below. the signature having been procured, it is only necessary to detach the two sheets in order to obtain a blank paper containing the signature, over which whatever is desired can be inserted. the trial referred to above, was in reference to a receipt for , francs. the expert, upon placing pieces of moistened paper upon the suspected document, noticed that they adhered to certain points, and that these formed a border around the paper but passing _above_ the signature. the fraudulency of the act was thus established, and so recognized by the court, although the accused was acquitted by the jury. numerous means have been proposed, in order to render the falsification of documents a matter of difficulty. the most reliable of these is the use of "grimpe's safety-paper," containing microscopic figures, the reproduction of which is impossible. unfortunately, up to the present, the government has adopted methods less sure. examination of writings in cases where a sympathetic ink has been used. sympathetic inks are those which, although invisible at the time of writing, become apparent by the application of certain agents. they are of two classes: those which are rendered visible by the mere application of heat, such as chloride of cobalt, or the juice of onions; and those which are brought out only by the action of a reagent. the inks of the second class most frequently used are solutions of acetates of lead, and other metals which give a colored sulphide when treated with sulphuretted hydrogen. characters written with a solution of ferrocyanide of potassium acquire a blue color, if washed with a solution of perchloride of iron. it is scarcely necessary to add that the latter solution can be used as the ink, and the ferrocyanide as the developer. when the presence of characters written with a sympathetic ink is suspected, the document is examined as follows: . the paper is at first warmed: if the ink used is of the first class, the characters will now become legible; otherwise the examination is continued as below. . the paper is exposed to the action of steam, in order to moisten the ink present (care being taken to avoid dissolving the characters), and a current of sulphuretted hydrogen allowed to act upon it. if the ink used consists of a lead, bismuth, or gold salt, a black coloration will ensue; if salts of cadmium or arsenic were employed, the characters will acquire a yellow color; if, finally, a salt of antimony was used, a red coloration will be produced. . if no coloration was caused by the action of sulphuretted hydrogen, it is probably that either a solution of ferrocyanide of potassium or a persalt of iron has been resorted to. each of these solutions is separately applied on a small portion of paper by means of a brush, and notice taken if the characters become visible. the solution that produced the change is then applied over the entire sheet. . in case only negative results were obtained in the preceding operations, it must not yet be concluded that a sympathetic ink has not been used, although we are left without further recourse to chemical tests. numerous organic compounds may have been resorted to, the detection of which is almost impossible; moreover, if a mistake was made in regard to the preparation supposed to have been used, the reagents employed for its detection may render the discovery of another ink absolutely impossible. it is therefore often necessary to apply mechanical tests. for this purpose, the paper is spread upon a glass plate, uniformly moistened with water, and a second plate placed over it: if the characters were written with a pulverulent substance suspended in water or mucilage, they may often be observed upon examining the transparency of the paper. in case the substance used is both colorless and soluble, the detection of the written characters will be more difficult; still, indelible traces may possibly have been left by the pen. if, however, the ink employed is a colorless and transparent organic compound of rare occurrence, and was applied with a fine pencil-brush which failed to affect the paper, it must be acknowledged that little or nothing can be definitely determined as to its presence or absence. falsification of coins and alloys. in all civilized countries a fixed standard for coins and precious alloys is established by law, in order to prevent the perpetration of frauds which would be of serious injury to the public welfare. the substitution of coins consisting of an alloy inferior in value to the standard fixed by law, is too advantageous a fraud not to be often attempted. coins are most frequently altered by _clipping_; by _stuffing_, that is, by boring the coin and inserting an alloy of small value; by _doubling_, which operation consists in covering its face with two thin laminæ taken from a genuine coin; and by applying a coating of gold or silver by means of electro-plating. in order to ascertain if a coin has been counterfeited, its weight should at first be determined. if it has been clipped, or consists of an alloy possessing a density less than that of silver or gold, the fact is immediately demonstrated by its decreased gravity. the coin is further tested by throwing it down upon a hard substance: gold and silver give a ringing sound, whereas the majority of other metals produce a dull sound. the result obtained by this latter test often fails to be reliable. a skilful counterfeiter may prepare an alloy equally sonorous and heavy as silver or gold; in fact, _m. duloz_ exhibited to the author an alloy, prepared by him, possessing the density, sonorousness and lustre of silver; the composition of which, for obvious reasons, has not been published. in instances of this nature the fusibility of the coin should be determined, and the result obtained compared with the melting point of the legal alloy, or, this failing, a chemical analysis executed. in order to perform the latter test, the coin under examination is boiled with nitric acid: all metals are dissolved, with exception of gold and platinum, which remain unaltered, and tin and antimony, which are converted respectively into metastannic and antimonic acids. the fluid is filtered, the insoluble residue well washed, and then boiled with hydrochloric acid, which dissolves the metastannic and antimonic acids. the solution is again filtered, and the second residue dissolved in _aqua regia_. the metals dissolved in the several filtrates are then detected, either by the processes previously given for the detection of metallic poisons, or by the more complete methods contained in works on chemical analysis. this qualitative test is, however, insufficient, in case the falsification consisted in merely diminishing the proportions of the valuable metals contained in the alloy, without changing its qualitative composition: it is then necessary to execute a quantitative estimation of the metals present. as this operation requires considerable practice and the methods employed are to be found in all treatises on quantitative analysis, we will not reproduce them here. examination of alimentary and pharmaceutical substances. we will next enumerate the methods employed in the detection of the principal adulterations to which flour, bread, oils of seeds, milk, wines, vinegar and the sulphate of quinine are subjected. these researches, united with those preceding, fail to embrace all the diverse examinations which the chemical expert may be expected to execute; but we do not claim to foresee all the contingencies that may arise, and will describe the steps to be pursued in instances which are anticipated, at the same time indicating general methods applicable to cases not here included. flour and bread. the adulterations to which flour and bread are exposed usually consist in adding damaged or an inferior grade of flour to wheaten flour, or in disguising the presence of a poor quality of flour by the addition of mineral substances, such as: plaster, chalk, lime, alum, and sulphate of copper. good flour has a white color, possessing a slightly yellow tinge, but is entirely free from red, grey or black specks. it is soft to the touch and adheres to the fingers, acquiring, when compressed in the hand, a soft cushion-like form. if mixed with water, it forms an elastic, homogeneous, but slightly coherent dough, which can be extended out in thin layers. flour of an inferior quality possess a dull white color, and does not assume the cushion-like condition mentioned above, when pressed in the hand, but escapes between the fingers: the dough formed is of a poorer quality. flour which has been damaged by moisture has a dull or reddish-white hue, and possesses a mouldy, or even a noxious, odor, as well as a bitter and nauseous taste which produces a marked acid sensation in the throat. occasionally the presence of moisture causes the growth of _fungi_, the introduction of which in the digestive organs would cause serious results. the constituents of pure flour are: _gluten._ _starch_, in the proportion of to per cent. _dextrine_, in the proportion of several per cent. _glucose_, in the proportion of several per cent. _salts_, remaining in the ash obtained by the calcination of the flour, in a proportion not exceeding per cent. _water_, of which it loses to per cent., at the heat of a water-bath, and to per cent., at a temperature of °. _bran_, (ligneous and fatty matter,) in a very small proportion, when the flour has been properly bolted. in the process of bread-making, the gluten undergoes fermentation by the action of the leaven and liberates carbonic acid, which causes the dough to become porous and swell up, or, as it is termed, to _rise_. bread contains the same substances as flour, but gluten and starch are present in a state that does not admit of their separation by mechanical means, and glucose, if present at all, exists in a smaller quantity: the proportion of dextrine and water is, on the other hand, considerably increased. the bread of the paris city bakeries contains per cent. of water--the crumb, which forms / of the weight of the bread, containing per cent.; the crust, which constitutes the remaining / , containing per cent. in army bread per cent. of water are contained--the crumb, which constitutes / of the weight of the bread, holding per cent.; the crust which forms the remaining / , containing per cent. the addition of common salt naturally increases the proportion of ash left upon calcining bread. water is contained in stale bread in the same quantity as in fresh bread; but exists in a modified molecular condition: upon heating stale bread, it acquires the properties of fresh bread. the following substances are used in the adulteration of wheaten flour:[p] potato-starch. meals of various grains (rice, barley, corn, oats and rye). vegetable meals, (beans, horse-beans, kidney-beans, peas, vetch, lentils, etc.). darnel meal. buckwheat flour. linseed-meal. mineral substances (plaster, chalk, lime, alum, and sulphate of copper). [p] most of the substances here enumerated are rarely, if ever, used for the adulteration of flour in this country. the analyst should, however, give attention to the examination for such salts as alum, sulphate of copper, plaster, kaolin, etc.--_trans._ in order to detect these substances, the gluten, the starch, and the ash are separately examined. _a._ examination of the gluten. in order to separate the gluten, two parts of the flour to be examined and one part of water are mixed into a paste, and this is placed in a fine linen sack, in which it is kneaded under a stream of water so long as the washings have a turbid appearance: these are preserved. the gluten obtained from good wheaten flour possesses a light-yellow color; emits a stale odor; and spreads out, when placed in a saucer. in case the flour has been too strongly heated in the grinding, or otherwise badly prepared, the gluten is granulous, difficult to collect in the hand, and somewhat resembles flint-stone in appearance. gluten prepared from a mixture of equal parts of wheat and _rye_ is adhesive, blackish, without homogeneousness, spreads out more readily than pure wheaten gluten, separates easily and adheres somewhat to the fingers. gluten obtained from a mixture of wheat and _barley_ is non-adhesive, of a dirty reddish-brown color, and appears to be formed of intertwined vermicular filaments. gluten formed from a mixture of equal parts of wheat and _oats_ has a blackish-yellow color and exhibits, at the surface, numerous small white specks. the gluten from a mixture of wheat and _corn_ has a yellowish color, is non-adhesive, but firm, and does not readily spread. gluten prepared from a mixture of wheat and _leguminous flour_ is neither cohesive nor elastic, and, if the proportion of the latter present be considerable, can be separated and passed through a sieve, like starch. the gluten obtained from a mixture of equal parts of wheat and _buckwheat_ flour is very homogeneous, and is as easily prepared as the gluten from pure wheaten flour. it possesses when moist a dark-grey color; which changes to a deep black upon drying. the proportion of gluten in flour is exceedingly variable: good flour contains from to per cent. of dry gluten; poor flour from to per cent. of moist gluten, equal to about one-third of its weight of the dry compound. _b._ examination of the starch. the washings of the flour are allowed to stand for some time in a conical-shaped vessel. as soon as the amylaceous matter has entirely settled to the bottom of the vessel, the greater portion of the water is decanted, and the residual mass brought upon a small filter and allowed to dry. the residue is then examined for potato and rice starch. _potato starch._ the grains of potato starch are much larger than those of wheaten starch. if a portion of the residue mentioned above is crushed in an agate mortar, the granules of potato starch present are ruptured, and their contents liberated; the wheaten starch remaining unaltered. the mass is then taken up with water, and the fluid filtered. if potato starch be present, the filtrate will acquire a blue color upon addition of an aqueous solution of iodine; otherwise, a yellow or violet-rose coloration is produced. it is necessary to avoid crushing the residue for too long a time, as the granules of wheaten starch would also become ruptured by prolonged comminution. besides the difference presented by potato starch in the size of the granules in comparison to those of wheaten starch, the former swell to ten or fifteen times the volume of the latter, when treated with a solution of potassa: wheaten starch granules are not affected by the treatment, if the solution used does not contain more than per cent. of the salt. the results obtained by the above operation should be confirmed by a microscopic examination. a portion of the residue is moistened with solution of iodine, then carefully dried, and placed on the slide of a microscope. the mass is next moistened with a solution containing per cent. of potassa, and examined. the addition of iodine causes the potato starch granules to acquire a blue color, and renders their shape and volume more easily perceptible; thus allowing the two varieties of starch to be readily distinguished. fig. represents the relative size of the granules as observed under the microscope.[q] [q] it may be added, as a distinguishing property, that granules of potato starch, when viewed in polarized light by aid of a nicol's prism, present a well-defined black cross, corresponding to the hilum; wheaten-starch fails to exhibit this phenomenon.--_trans._ [illustration: fig. .] the presence of potato starch in bread is also detected by crushing a small portion of the sample under examination on the glass, and then adding a few drops of the alkaline solution. _rice and corn._--if rice or corn meal have been mixed with the flour, angular and translucent fragments (fig. ) are observed in the microscopic examination. corn meal acquires a yellow color, if treated with dilute potassa solution. [illustration: fig. .] miscellaneous tests. _linseed and rye meals._--if linseed meal is moistened with an aqueous solution containing per cent. of potassa and examined under the microscope, numerous minute characteristic granules, smaller than the grains of potato-starch, are observed. these possess a vitreous appearance, sometimes a reddish color, and usually form in squares or very regular rectangles. the test is equally applicable to bread. the detection of linseed and rye meals is simultaneously effected by exhausting the suspected flour with ether, then filtering the solution and allowing it to evaporate. if the flour contains rye, the oil left by the evaporation, when heated with a solution of mercury in concentrated nitric acid, is converted into a solid substance having a fine red color; but it remains unaltered, if entirely due to linseed. in case the oil becomes solidified, the mercury salt present should be removed by washing with water, the residue taken up with boiling alcohol of ° b. and the solution filtered: upon evaporating the alcoholic filtrate, a residue is obtained consisting of the linseed oil present. _buckwheat._--flour adulterated with buckwheat is less soft to the touch, does not pack as easily, and passes more readily through a sieve than pure wheaten flour. it presents, here and there, blackish particles, due to the perisperm of the grain, and has a dirty-white color. as previously remarked, the gluten obtained from a mixture of buckwheat and wheaten flour possesses a grey or even a black color. the starch furnished by buckwheat flour exhibits polyhedral agglomerations, analogous to those presented by corn. _darnel._--the use of darnel in the adulteration of wheaten flour may give rise to serious sanitary results. to effect its detection, the flour to be examined is digested with alcohol of ° b.: if the flour be pure, the alcohol remains limpid: it acquires a straw-yellow tint, due to traces of bran present, but--although a peculiar resin may be dissolved--the solution does not possess a disagreeable taste. when, on the contrary, darnel is present, the alcohol assumes a green tint, which gradually deepens, and possesses a bitter and nauseous taste; the residue, left by the evaporation of the tincture to dryness, has a greenish-yellow color, and a still more disagreeable flavor than the alcoholic solution. _legumens._--leguminous meals cannot be added otherwise than in small proportions to wheaten flour, owing to the rapidity with which they change the properties of the latter, and communicate to it their characteristic odor--noticeable upon treating the flour with a little boiling water. their presence is also easily detected by the distinctive properties of the vegetable itself, and by the appearance of the amylaceous residue in the microscopic examination. in order to decide as to the presence of legumens, the washings containing the starchy matter of the flour, after the particles of gluten present have been separated by passing the fluid through a silk sieve, are divided into two portions. one portion is allowed to undergo fermentation, at a temperature of ° to °: in case leguminous substances are not present, lactic fermentation occurs and the odor of sour milk is alone perceptible; if, on the other hand, legumens are contained in the fluid, rancid fermentation takes place, and an odor is emitted resembling that of decayed cheese. the remaining portion of the washings, after being decanted from the residue of amylaceous matter, is filtered and evaporated until a yellowish translucent pellicle appears upon its surface. the fluid is then again filtered from the coagulated albumen common to all flours, and the leguminous substances present coagulated by the addition, drop by drop, of acetic acid. the leguminous deposit produced appears white and flaky; when examined under the microscope, it presents lamilla emarginated at the border; it is odorless and tasteless; when dried, it assumes a horny appearance; it is insoluble, both in water and alcohol, and does not become gelatinous when treated with boiling water; it is readily soluble in potassa and other alkaline solutions, from which it is precipitated upon addition of nitric, hydrochloric, acetic, oxalic, and citric acids; upon protracted boiling in water, it loses its property of being soluble in ammonia. the above tests having been applied, the residue containing the starch is next examined. for this purpose, a small portion is moistened with a little water, a few drops of iodine solution added, and the mixture placed on the side of the microscope: the bluish grains contained in the polyhedral and cellular envelope (fig. ) are easily recognized. the mixture on the glass may also be treated with an aqueous solution of potassa (containing per cent. of the salt), or with dilute hydrochloric acid: these reagents dissolve the starch present, leaving the reticulated tissue intact. should this examination fail to give a definite result, the remaining portion of the amylaceous residue is subjected to a sort of levigation, and the part most slowly deposited separated. in this portion the reticulated tissues of the leguminous substances present are contained, and, as they are comparatively free from foreign matters, their identification is a matter of comparative ease. in case the presence of reticulated tissue is indicated, it is still necessary to apply confirmatory chemical tests. [illustration: fig. .] meals prepared from beans, horse-beans, and lentils, contain a tannin which imparts a green or black color to salts of iron. the coloration is rendered very sensitive if a rather considerable quantity of the flour to be examined is passed through a silk sieve, and the remaining bran treated with a solution of sulphate of iron (_ferrico-ferrous_ sulphate): the reaction immediately occurs, even if the sample contains but per cent. of bean meal. the meals of horse-beans and of vetches acquire a red color, when exposed to the successive action of nitric acid and of ammonia vapors. in order to apply this test, the suspected flour is placed upon the edge of a capsule containing nitric acid, the latter heated, and, as a yellow coloration appears, the acid removed and replaced by ammonia. the capsule is then set aside: if the flour is adulterated with either of the above vegetables, reddish spots, which are easily perceptible by aid of a magnifying glass, are soon produced. in case bread is to be examined, it is exhausted with water, the fluid passed through a sieve, the upper layer decanted, then evaporated, and the residue taken up with alcohol. the tincture so obtained is evaporated, and the second residuum treated with nitric acid and ammonia, as directed above. when meals prepared from beans, vetches, or lentils are heated on a water-bath with hydrochloric acid, diluted with three to four times its volume of water, a cellular tissue, possessing the color of wine-dregs, remains behind; flours of wheat, peas, and kidney-beans leave a colorless residue, when subjected to the same treatment. finally; the grains of the starch (_fecula_) of legumens possess a volume about equal to that of potato granules, and exhibit either a longitudinal furrow in the direction of their longer axis, or a double furrow arranged in a star-like form. _c._ examination of the ash. leguminous substances, and more particularly mineral salts, are detected by the examination of the ash left upon the incineration of the flour. _detection of legumens._--pure wheaten flour furnishes an ash consisting of about per cent. of its weight; whereas meals of legumens leave from to per cent. of their weight in ash. this difference is, however, too slight to furnish conclusive results; the analysis of the ash is also necessary. the ash of wheaten flour is non-deliquescent, dry, semi-fused, and chiefly consists of phosphates of potassa, soda, magnesia and lime, of sulphates, and of silica. the solution obtained by treating the ash with water has an alkaline reaction. the phosphates of the alkalies, present in the ash of wheat, exist in the state of pyrophosphates, and, as chlorides are absent, the addition of nitrate of silver to the aqueous solution of the ash produces a white precipitate, consisting entirely of pyrophosphate of silver, which is not affected by exposure to the light. the ash of leguminous meals is deliquescent and soluble in water, forming a _strongly_ alkaline solution, which contains both chlorides and _neutral_ phosphates. the latter give a clear yellow precipitate with nitrate of silver. upon adding a solution of this salt to the aqueous solution of the ash, a _pale_ yellow precipitate, which turns violet if exposed to the light, is therefore produced. _detection of mineral substances._--the principal mineral substances, that are fraudulently added to flour, are ground calcined bones, sand, lime, plaster, alum, and sulphate of copper. the two last named salts are almost invariably added in small quantities; alum renders the flour white, even when used in the proportion of one per cent.; sulphate of copper is added to impart a good appearance to bread made from a damaged flour. _a. ground bones_ (carbonate and phosphate of lime).--the washings of the gluten are placed in a conical vessel, and, after some time has elapsed, the clear supernatant fluid is removed by means of a syphon, a conical shaped deposit remaining on the bottom of the vessel: two hours later, the fresh layer of fluid that has formed is removed with a pipette. as soon as the residue becomes nearly solid, it is detached from the vessel, placed upon a fragment of plaster, and allowed to dry. the bones, being heavier than the amylaceous substances, are to be found in the apex of the cone formed by the residue. this is detached, and incinerated: in case the ash obtained contains phosphate and carbonate of lime, the addition of hydrochloric acid will cause effervescence, and, upon adding ammonia to the acid solution, a white precipitate will be formed. if the solution is then filtered and oxalate of ammonia added to the filtrate, a precipitate will be produced which, when heated to redness, leaves a residue of caustic lime possessing an alkaline reaction. _b. sand._--as this substance possesses a much greater specific gravity than the usual constituents of flour, it is only necessary, in order to accomplish its separation, to repeatedly stir the flour with water, and remove the deposit at first formed, which, if consisting of sand, will be insoluble in acids, and will grate, when placed between the teeth. _c. carbonates of lime and magnesia; vegetable ashes._--carbonic acid is always evolved, upon treating flour with hydrochloric acid. if the base present be calcium, upon adding oxalate of ammonia to the filtered solution--which has previously been neutralized with ammonia--a white precipitate, possessing the properties mentioned above, will be formed; in case the base is magnesia, the addition of oxalate of ammonia will fail to cause a precipitate, but upon adding solution of phosphate of ammonia to the fluid a granular precipitate of phosphate of ammonia and magnesia is produced; if, finally, the flour contains vegetable ashes--_i. e._ carbonates of the alkalies--bichloride of platinum will produce in the acid solution a yellow precipitate: the addition of vegetable ashes, moreover, would render the ash of the flour deliquescent and very strongly alkaline. _d. lime._--in presence of lime, carbonic acid produces a white precipitate, when conducted into the filtered aqueous extract of the flour. _e. plaster._--the flour is boiled with water acidulated with hydrochloric acid, the fluid filtered, and lime detected in the filtrate by means of ammonia and oxalate of ammonia. the presence of sulphuric acid is indicated by the formation of a precipitate insoluble in acids, upon addition of solution of chloride of barium. upon calcining the flour without access of air, sulphate of lime is converted into the corresponding sulphide: the residue of the calcination, when treated with hydrochloric acid, evolves sulphuretted hydrogen, and the lime present in the filtered acid solution is likewise precipitated by the addition of ammonia and oxalate of ammonia. _f. alum._--a portion of the flour to be examined is treated with water, the fluid filtered, and the filtrate divided in two portions: in one, sulphuric acid is detected by means of chloride of barium; in the other, alumina by adding a solution of potassa, which gives with its salts a white gelatinous precipitate, soluble in an excess of the reagent.[r] [r] if the detection of alum in bread is desired, a portion of the crumb is incinerated in a platinum dish, the ash is treated with concentrated hydrochloric acid, the filtered solution evaporated to dryness, and the residue treated with hydrochloric acid, which now leaves the silica present undissolved. the acid solution is then filtered, nearly neutralized with carbonate of soda, and an alcoholic solution of potassa added in excess. the earthy phosphates present are now precipitated, alumina remaining in solution. the use of aqueous potassa in this case--as well as in the case mentioned in the text--is not advisable, as it is seldom entirely free from alumina. upon slightly acidulating the alkaline filtrate with hydrochloric acid, and adding carbonate of ammonia, the alumina present is precipitated, and may be dried and tested by means of the reaction with nitrate of cobalt before the blow-pipe. in the quantitative estimation of alumina, the phosphoric acid usually present in the precipitate should be removed. this is done by dissolving the precipitate in nitric acid and immersing a piece of metallic tin in the boiling solution: phosphoric acid is thrown down as a mixture of stannic oxide and phosphate, and the alumina is then precipitated as usual by carbonate of ammonia.--_trans._ _g. sulphate of copper._--about grammes of the bread under examination are incinerated; the ash treated with nitric acid; the mixture evaporated until it acquires a sticky consistence, and the mass then taken up with water. the aqueous solution is next filtered; an excess of ammonia and several drops of solution of carbonate of ammonia added; the fluid again filtered, the filtrate slightly acidulated with nitric acid, and divided into two parts. it is then ascertained if sulphuretted hydrogen produces in one portion of the solution a brown precipitate of sulphide of copper, and if solution of ferrocyanide of potassium produces in the other a reddish-brown precipitate of ferrocyanide of copper.[s] [s] according to wagner, if the ash, obtained by incinerating the adulterated bread, is washed with water, shining spangles of metallic copper are separated.--_trans._ fixed oils. olive oil designed for table use is frequently adulterated with the oils of poppy, sesamé, cotton-seed, pea-nuts, and other nuts; olive oil, intended for manufacturing purposes, is often mixed with colza and nut oils. the tests used are of a rather unsatisfactory character. in all instances, when the chemist is called upon to pronounce as to the adulteration of an oil, it is necessary to execute comparative experiments with the pure oil, and with admixtures arbitrarily prepared: it is only when this is done that the indications obtained are of value. examination of olive oil intended for table use. _a._ the density of the oil is determined by means of a hydrometer (_oleometer_) provided with a scale giving the densities from . to . , for the temperature of .° pure olive oil possesses a specific gravity of . ; poppy oil one of . ; a mixture of the two, an intermediate density. since the fixed oils are not definite chemical compounds, this test is seldom conclusive. _b._ two or three cubic centimetres of concentrated nitric acid, containing nitric peroxide in solution (or a solution of mercury in strong nitric acid), are added to the oil to be examined, as well as to a sample of pure olive oil. the two samples are then allowed to stand in a room where the temperature does not exceed .° the _oleine_ of the olive oil is converted into solid _elaidine_, and the mixture after some time becomes sufficiently thick to remain in the vessel upon inversion. if the sample under examination is free from adulteration, it will solidify at the same time as the pure oil; whereas, the presence of one per cent. of poppy oil, or of other drying oils, suffices to retard the solidification for forty minutes. _c._ fifteen grammes of the oil are mixed in a glass vessel with the same amount of strong sulphuric acid, the temperature of the two liquids being previously observed. the mixture is stirred with a thermometer, and the maximum temperature noted: pure olive oil produces an elevation of temperature of .° ; pure poppy oil, an elevation of .° ; and a mixture of the two an elevation of temperature intermediate between .° and .° . _d._ one volume of nitric acid of sp. gr. . is agitated with grammes of the oil, and notice taken of the coloration produced after the lapse of five minutes. if the olive oil is pure, it acquires a pale green color; in case it is mixed with sesamé or nut oil, a deep-red color appears: poppy oil also communicates a reddish coloration, but one less deep than the preceding. if an acid of sp. gr. . is taken, it is still less difficult to distinguish between sesamé, nut and poppy oils; the latter assumes, in this case, a pale yellowish-red color. pea-nut oil fails to exhibit a coloration; but can be recognized by its conversion into a white solid, when mixed with / of its volume of a solution of caustic soda of sp. gr. . . examination of olive oil intended for manufacturing purposes. the chief adulterations are colza and nut oils. the latter is detected by means of the reaction with nitric acid, as described above. colza oil is recognized by mixing volumes of the sample to be examined, with volume of sulphuric acid of sp. gr. . : if colza or nut oils are present, a brown coloration ensues; under the same circumstances, pure olive oil assumes a pale greenish hue. in case the sample acquires a brown color when treated with sulphuric acid, and a red coloration is produced by the addition of nitric acid, it contains nut oil; if sulphuric acid produces a brown coloration, and nitric acid fails to change it, the presence of oil of colza is indicated. examination of hempseed oil. this oil is frequently adulterated with linseed oil. the reactions exhibited by these oils are nearly identical, and the detection of the admixture is extremely difficult. it is advisable to mix the suspected oil with sulphuric acid, notice being taken of the elevation of temperature produced, and to treat it with nitric acid and with dilute potassa solution, subjecting, at the same time, an artificial mixture of the two pure oils to the same treatment, and comparing the results obtained. tea and its adulteration. among alimentary substances probably no article is subjected to more adulteration than tea. the sophistications practised may be conveniently divided into three classes: . additions made for the purpose of giving increased bulk and weight, which include foreign leaves and exhausted tea-leaves, and also certain mineral substances, such as metallic iron, sand, brick-dust, etc. . substances added in order to produce an artificial appearance of strength in the tea decoction, catechu, or other bodies rich in tannin, and iron salts being chiefly resorted to for this purpose. . the imparting of a bright and shining appearance to the tea by means of various coloring mixtures or "facings," which adulteration, while sometimes practised upon black tea, is much more common with the green variety. this sophistication involves the use of steatite (soap-stone), sulphate of lime, china clay, prussian blue, indigo, turmeric, and graphite; chromate of lead and copper salts being but very rarely employed. the compound most frequently used consists of a mixture of soap-stone (or gypsum) with prussian blue, to which a little turmeric is sometimes added. genuine tea is the prepared leaf of _thea sinensis_. it contains: moisture, % to %; theine, . % to . %; tannin, (green) %, (black) %; ash, % to %; soluble extractive matters, % to %; and insoluble leaf, % to %. [illustration: fig. .] [illustration: fig. .] [illustration: fig. .] [illustration: fig. .] the presence of foreign leaves, and, in some instances, of mineral adulterants, in tea is best detected by means of a microscopic examination of the suspected sample. the genuine tea-leaf is characterized by its peculiar serrations and venations. its border exhibits serrations which stop a little short of the stalk, while the venations extend from the central rib, nearly parallel to one another, but turn just before reaching the border of the leaf (see fig. ). the chinese are said to employ ash, plum, camellia, velonia, and dog-rose leaves for admixture with tea, and the product is stated to be often subjected in england to the addition of the leaves of willow, sloe, beech, hawthorn, elm, box-poplar, horse-chestnut, and fancy oak (see figs. , , and ). for scenting purposes chulan flowers, rose, jasmine, and orange leaves are frequently employed. in the microscopic examination the sample should be moistened with hot water, spread out upon a glass plate, and then submitted to a careful inspection, especial attention being given to the general outline of the leaf and its serrations and venations. most foreign leaves will, in this way, be identified by their botanical character. the presence of exhausted tea-leaves may also often be detected by their soft and disintegrated appearance. if a considerable quantity of the tea be placed in a long glass cylinder and agitated with water, the coloring and other abnormal bodies present frequently become detached, and either rise to the surface of the liquid as a sort of scum or fall to the bottom as a deposit. in this way prussian blue, indigo, soap-stone, gypsum, sand, and turmeric can sometimes be separated and subsequently recognized by their characteristic microscopic appearance. the separated substances should also be chemically tested. prussian blue is detected by heating with a solution of caustic soda, filtering, and acidulating the filtrate with acid, and then adding chloride of iron, when, in its presence, a blue color will be produced. indigo is best discovered by its appearance under the microscope; it is not decolorized by caustic alkali, but it dissolves in sulphuric acid to a blue liquid. soap-stone, gypsum, sand, metallic iron, etc., are identified by means of the usual chemical tests. a compound, very aptly termed "lie-tea," is often met with. it forms little pellets consisting of tea-dust mixed with foreign leaves, sand, etc., and held together by means of gum or starch. this, when treated with boiling water, falls to powder. in the presence of catechu the tea infusion usually becomes muddy upon cooling; in case iron salts have been employed to deepen the color of the liquor, they can be detected by treating the ground tea-leaves with acetic acid and testing the solution with ferrocyanide of potassium. tea should not turn black upon immersion in hydrosulphuric acid water, nor should it impart a blue color to ammonia solution. the infusion should be amber-colored, and not become reddened by the addition of an acid. tea assay. in the following tea assay proper the estimation of theine is not included. the processes suggested for this determination are rather unsatisfactory; and there appears, moreover, to exist no direct relation between the quality of tea and the proportion of theine contained. the tests here mentioned, in connection with those already given, will, it is believed, usually suffice to indicate to the analyst the presence of spent leaves, inorganic coloring matters, and other mineral adulterations. tannin.--a good process for the estimation of tannin in tea has been published by allen (_chem. news_, vol. xxix. p. et seq.) a standard solution of lead acetate is prepared by dissolving grammes of the salt in distilled water and diluting the liquid to , c.c. as an indicator, milligrammes of potassic ferricyanide are dissolved in c.c. of water, and an equal volume of strong ammonia-water added. the exact strength of the lead solution is to be determined by means of a solution of pure tannin of known strength. two grammes of the tea to be tested are powdered, boiled with water, and, after filtering and thorough washing, the decoction is made up to a volume of c.c.; c.c. of the lead solution are now diluted with c.c. of boiling water, and the tea infusion is gradually added from a burette until a few drops of the liquid, when filtered and added to a little of the indicator placed upon a porcelain slab, causes a pink coloration to appear; , divided by the number of c.c. of tea infusion found to be necessary to produce the pink color, will give directly the percentage of tannin in the sample examined. as previously stated, green tea contains % of tannin, and black tea %. in spent tea, however, only about % of tannin is present; and, although any tea deficient in this constituent could be fortified by the addition of catechu, its determination often affords indications of value. the ash--_a. total ash._-- grammes of the sample are placed in a platinum vessel and heated over a bunsen burner until complete incineration has been accomplished. the vessel is allowed to cool in a desiccator, and is then weighed as quickly as possible. in genuine tea the total ash should not be much below % or much above %, and it should not be magnetic; in "faced" teas the proportion of total ash is often % or %; in "lie-tea" it may reach %, and in spent leaves it may fall as low as %, the ash in this case being abnormally rich in lime salts and poor in potash salts. tea-dust sometimes contains % of total ash without necessarily being considered bad in quality. in the proposed united states tea-adulteration law ( ) a maximum of % of total ash is allowed for tea-leaf. _b. ash insoluble in water._--the total ash obtained in _a_ is washed into a beaker and boiled with water for a considerable time. it is then brought upon a filter and the insoluble residue washed, dried, ignited, and weighed. in unadulterated tea it will not exceed % of the sample taken. _c. ash soluble in water._--this proportion is obtained by deducting ash insoluble in water from the total ash. genuine tea contains from % to . % of soluble ash, or at least % of the total ash, whereas in spent or exhausted tea the amount is often but . %. _d. ash insoluble in acid._--the ash insoluble in water is boiled with dilute hydrochloric acid and the residue separated by filtration, washed, ignited, and weighed. in pure tea the remaining ash ranges between . % and . %; in "faced" teas, or in teas adulterated by the addition of sand, etc., it may reach the proportion of % to %. fragments of silica and brick-dust are occasionally to be found in the ash insoluble in acid. the extract.--two grammes of the carefully-sampled tea are boiled with water until all soluble matter is dissolved, water being added from time to time to prevent the solution becoming too concentrated. the solution is poured upon a tared filter, and the remaining insoluble leaf repeatedly washed with hot water until the filtered liquid becomes colorless. the filtrate is now diluted to a volume of c.c., and of this c.c. are taken and evaporated in a weighed dish over the steam-bath until the weight of the extract remains constant; its weight is then determined. genuine tea affords from % to % of extract, according to its age and quality; in spent tea the proportion of extract will be greatly reduced. insoluble leaf.--the insoluble leaf obtained in the preceding operation, together with the weighed filter, is placed in an air-bath and dried for at least eight hours at a temperature of ° c.; its weight is then determined. in unadulterated tea the amount of insoluble leaf ranges between % and %; in exhausted tea it may reach a proportion of %. it should be noted that in the foregoing estimations the tea is taken in its ordinary air-dried condition. if it be desired to reduce the results obtained to a dry basis, an allowance for the moisture present in the sample (an average of %), or a direct determination of the same, must be made. the following tabulation gives the constituents of genuine tea so far as the ash, extract, and insoluble leaf are involved: _total ash_--ranges between . % and . %. _ash soluble in water_--ranges between % and . %; should equal % of total ash. _ash insoluble in water_--not over . %. _ash insoluble in acid_--ranges between . % and . %. _extract_--ranges between % and %. _insoluble leaf_--ranges between % and %. the table below may prove useful as indicating the requirements to be exacted when the chemist is asked to give an opinion concerning the presence of facing admixtures or of exhausted or foreign leaves in a sample of tea: _total ash_--should not be under . % or over %. _ash soluble in water_--should not be under % of total ash. _ash insoluble in water_--should not be over %. _ash insoluble in acid_--should not be over %. _extract_--should not be under %. _insoluble leaf_--should not be over %. note.--the british society of public analysts adopt: _total ash_ (dry basis)--not over % (at least % should be soluble in water). _extract_ (tea as sold)--not under %. milk. the chief constituents of milk are water, butter, caseine, lactose (milk-sugar), traces of albumen and mineral salts. butter is present in the form of minute globules, held in suspension; the caseine, for the greater part, is in solution, only a small portion being present in an insoluble suspended condition. in milk only a few days old, the _colostrum_ (the milk secreted during the first few days after parturition) consists largely of rather voluminous cellular conglomerations, containing a sufficient quantity of albumen to coagulate upon heating. the normal density of milk is . , water being . ; the density rising to . , if the fluid has been skimmed. good milk contains, on an average, . per cent. of butter; . per cent. of lactose, and leaves upon evaporation to per cent. of solid matters.[t] the most common adulteration of milk consists in the addition of water. this fraud is detected by means of an areometer (_lactodensimeter_) which gives directly the specific gravity of the fluid under examination. should the density be much below . , it is certain that water has been added. it does not, however, necessarily follow if it is about . that the milk is pure, since the gravity of the fluid, which would be increased upon skimming, could be subsequently reduced to . by the addition of water. the lactodensimeter, therefore, although useful in the detection of a simple admixture, fails to give reliable results if the fraud perpetrated is a double one; and a determination of the proportion of butter present is also usually necessary. numerous methods have been proposed to accomplish this estimation. the most preferable of these, owing to the rapidity with which the operation is executed, is the use of the lactoscope (_galactoscope_). this instrument consists of a tube provided with a glass plate fitted at one end, and with a movable glass plate at the other extremity. a few drops of the milk to be tested are placed between the two plates, and the tube lengthened, by screwing out the movable plate, until the fluid no longer transmits the light of a candle placed at a distance of one metre. as the opacity of milk is due to the butter present, it is evident that the proportion of this substance contained in the sample can be estimated by the relative distance which the plates have been separated. [t] the british society of public analysts regard the following as the _minimum_ proportions of constituents in unadulterated milk: fat . per cent. solids, not fat . " " ---- total . " " water . " " --_trans._ the lactoscope possesses, however, but a limited degree of precision. _m. marchand_ substitutes to its use the following tests: a test-tube is graduated in three equal divisions, the upper one being subdivided into hundredths extending above, in order to determine accurately the correct volume of the fluid, expanded, as it is, by the temperature of °, at which the examination is executed. the first division of the tube is filled with milk, a drop, or two of strong potassa lye added, and the mixture well shaken: the second portion is then filled with ether, and the third with alcohol. the mixture is next again thoroughly agitated, and then exposed to a temperature of ° in a water-bath. after standing for several hours, a layer of fatty matter becomes sufficiently separated to allow of measurement: but, as it contains some ether and as a small amount of butter may still be retained in the lower aqueous fluid, a correction of the results obtained is necessary. m. marchand has compiled a table, which facilitates this correction (_vide_: _journ. de pharm., novembre _, and _bulletin de l'académie de médecine, paris, _, xix., p. ). previously to the introduction of marchand's apparatus, use was made of the _lactometer_, which consists simply of a graduated glass tube, in which the suspected milk is allowed to remain for hours, at a temperature of °. after the lapse of this time, the cream present completely separates as a supernatant layer, the thickness of which indicates the quality of the sample taken. _m. lacomte_ recommends the addition of glacial acetic acid, in order to cause the more rapid separation of the cream. the estimation of the butter being accomplished, it is frequently needful to determine the amount of lactose present. for this purpose, recourse is had to barreswil's method, based upon the reduction of cupro-potassic tartrate by milk-sugar in the presence of alkalies. a solution is prepared containing grammes of pure crystallized sulphate of copper, or grammes of caustic soda lye of sp. gr. . , and grammes of neutral tartrate of potassa. the sulphate of copper and tartrate of potassa are previously dissolved separately in a little water, the three solutions united, and water added until the fluid acquires a volume of . cubic centimetres. in order to standardize this test solution, a known weight of pure lactose is dissolved in water and the fluid added, drop by drop, from a graduated burette, to a small flask containing cubic centimetres of the copper solution, diluted with cubic centimetres of distilled water, and heated to boiling. at first a yellow precipitate forms, which gradually turns red, and is deposited on the bottom of the flask, leaving the solution colorless. as soon as the test solution is completely decolorized, the addition of the lactose solution is discontinued, and the weight of lactose corresponding to cubic centimetres of the test fluid calculated from the quantity used. the standard of the test solution having been determined, the above operation is repeated, the milk under examination being substituted for the solution of pure lactose. the quantity of milk necessary to decolorize cubic centimetres of the copper solution will evidently contain the same amount of lactose as the quantity of solution used in the preliminary test, and the actual amount of lactose present is very easily calculated. when an estimation of the solid matter contained in the milk is required, a known weight is evaporated to dryness over a water-bath, and the residue weighed. in performing this evaporation, the addition of a known amount of sand, or ground glass, is advisable. the amount of ash present is determined by incinerating the residue left by the evaporation. foreign substances are sometimes added to milk, for the purpose of disguising the presence of an abnormal quantity of water, the principal of which are: chalk, bicarbonate of soda, emulsion of almonds, gum tragacanth, gum arabic, starch, flour, decoction of barley or rice, sugar, and cerebral substances. these bodies are detected as follows: _chalk._--if chalk is contained in the milk, it readily subsides upon allowing the sample to remain at rest for some time in a flask, forming a deposit which effervesces when heated with hydrochloric acid, and dissolves to a solution, in which the characteristic properties of a lime salt can be recognized. _bicarbonate of soda._--in presence of this compound the milk possesses a strongly alkaline reaction, furnishes a serum having a sharp and bitter taste, and leaves a residue of the salt upon evaporation. _emulsion of almonds._--the milk has a specific gravity of at least, . . if it is passed through a gauze, small opaque lumps are separated. when examined under the microscope, numerous minute globules, having a diameter of / of a millimetre, are observed, and, upon adding a few centigrammes of amygdaline to one or two grammes of the milk, the characteristic odor of bitter almonds is produced. _gum tragacanth._--when shaken in a glass flask and allowed to rest, the milk deposits on the sides small transparent lumps, which usually present a slightly elongated or angular form. _gum arabic._--the addition of alcohol produces an abundant white opaque precipitate. _starch, flour, decoction of barley, rice, etc._--upon boiling the suspected milk, and adding tincture of iodine, the amylaceous substances present produce a blue coloration in the fluid. _sugar._--if yeast is added, and the mixture allowed to stand for some time at a temperature of °, alcoholic fermentation ensues; under these circumstances, lactose does not undergo fermentation. _cerebral substances._--adulteration by these substances is probably of much less frequent occurrence than was formerly supposed. the admixture is detected by evaporating the milk to dryness, dissolving the residue in ether, evaporating the etherial solution, and fusing the second residue, which consists of fatty matters, with nitrate of potassa in a platinum crucible. the mass is then taken up with water, and chloride of barium added to the solution. if cerebral substances were contained in the milk, ether will dissolve the fatty matters present, the phosphorus of which is converted into a soluble phosphate by the calcination with nitrate of potassa and is thrown down as a white precipitate, upon the addition of a solution of chloride of barium. this test may be confirmed by a microscopic examination of the milk, when the peculiar appearance of cerebral matter will be detected.[u] [u] fragments of nerves, and other organic structures, are frequently observed in this examination.--_trans._ wine. the most common adulteration to which wines are subjected is the addition of water: wines having a rich color are frequently mixed by the dealer with lighter wines, and the fraud consummated by adding water. the detection of this adulteration is somewhat difficult, as water is a normal constituent of wine. in paris the following method is usually employed: as soon as the wine is confiscated, it is ascertained what kinds of wine are manufactured by the inculpated dealer, and a statement obtained from him, giving the proportions of alcohol, etc., contained in the various brands. a wine is then prepared, according to the information received, an estimation of the alcohol contained in the prepared sample made, and the results compared with those furnished by a similar examination of the suspected wine. in case the proportion of alcohol is less in the suspected wine than in the prepared sample, it is evident that a fraudulent adulteration has been committed. if, however, the quantity of alcohol is the same in both wines, it does not necessarily follow that the wine has escaped admixture, since this body may have been added after the adulteration with water. in addition to the estimation of alcohol, it is also necessary to determine the amount of cream of tartar (bitartrate of potassa) present, as the proportion of this salt would be sensibly decreased by the addition of alcohol and water to the wine. this fraud could, however, be disguised by subsequently adding the proper amount of cream of tartar. it is also well to ascertain if two equal quantities of the prepared sample and the wine under examination require the same amount of solution of hypochlorite of lime for decolorization. in case the suspected wine has been adulterated, the quantity of hypochlorite solution used will be less than the amount necessary to decolorize the prepared wine. foreign coloring matter may be added by the adulterator, but this fraud is easily detected by adding potassa to the sample: if its coloration is natural, a green tint is produced; whereas, if foreign matter has been introduced, the wine assumes various other colors upon the addition of the alkali.[v] [v] _cotlini_ (_ann. du genie civil_, no. , ) states that the following reactions occur when artificially colored wines are heated with potassa: pure wine no precipitate greenish hue elderberry violet " beet-sugar red " logwood red violet-red " privet violet-blue " turmeric light-blue " according to _m. de cherville_ (_quar. jour. sc._), a bright violet coloration is produced in the above test, if litmus be present. fuchsin is separated by treatment with subacetate of lead and addition of amylic alcohol (_jour. de ph. et de ch. mar. _).--_trans._ the indications furnished by the above test are rendered valueless, if the wine has been artificially colored by the addition of the coloring matter of grape-skins; but the execution of this fraud would require some knowledge of chemistry, and fortunately adulterators, as a class, are deficient in this branch of science. another method for detecting the addition of water is based upon the fact that fermented liquors do not contain air in solution, but only carbonic acid; whereas, water dissolves oxygen and nitrogen. it is executed as follows: the wine to be tested is placed in a flask, the delivery-tube of which is also filled, and heated; the evolved gas being collected in a tube filled with mercury. in case the wine is pure, the disengaged gas will be completely absorbed by potassa; if, on the other hand, water has been added, an unabsorbed residue, consisting of oxygen and nitrogen, will remain. this test is useless in case water, through which a current of carbonic acid gas has been passed for a considerable time, has been employed. under these circumstances, however, the presence of the gas would probably be detected by the taste of the wine, as well as by the estimation just mentioned, since the sample would invariably contain a larger proportion of the gas than the standard with which it is compared; indeed, it would be almost impossible to prepare a solution which contained exactly the proportion of carbonic acid ordinarily present in wine. it remains to mention the methods employed in determining the amount of alcohol and cream of tartar contained in wine. the alcometrical method usually employed is based upon the difference in density possessed by pure alcohol and by mixtures of alcohol and water. _gay-lussac_ has proposed an areometer (_alcoholmeter_), provided with a scale which directly indicates the proportion of alcohol contained in a mixture. as the indications furnished by this instrument vary with the temperature, and the scale is constructed on the basis of a temperature of °, a correction of the results obtained is necessary if the determination is made at other temperatures. gay-lussac has compiled a table which indicates at once the required correction; the following formula can also be used: _x = c ± . t_, where _x_ is the quantity of alcohol present in the sample; _c_ the degree indicated by the alcoholmeter, and _t_ the number of degrees differing from the temperature of °: the second member of the formula is subtracted from, or added to the first, as the temperature at which the estimation is made is greater or less than °.[w] [w] tralles alcoholmeter is almost exclusively employed in this country.--_trans._ in case the wine to be examined contains substances other than water and alcohol, which would affect its density, it is necessary, before making use of the alcoholmeter, to distil the sample and subsequently examine the distillate, which will consist of a simple mixture of water and alcohol. usually the distillation is discontinued as soon as one-third of the sample has passed over, and a quantity of distilled water, sufficient to render the volume of the mixture equal to the original volume of the wine, added to the distillate: the fluid remaining in the flask will be entirely free from alcohol. the addition of water to the distillate is not indispensable, but otherwise it is necessary to divide the degrees indicated by the alcoholmeter by , in order to reduce the result to the original volume of the wine taken. _m. salleron_ offers for sale a small apparatus (fig. ) used in examinations of this character, consisting of a flask, closed with a gutta-percha cork, containing a tube which connects with a worm passing through a cooler. the flask is supported by an iron stand, and heated with a gas or spirit lamp. [illustration: fig. .] in order to estimate the cream of tartar, the wine is evaporated to the consistency of an extract, alcohol of ° b. added, and the residue obtained calcined in a crucible. the amount of salt present in the fused mass is then determined by the alkalimetric method, as directed in all works on quantitative analysis. the carbonate obtained from gr. of cream of tartar exactly saturates . cubic centimetres of a solution containing grammes of sulphuric acid of ° b., and grammes of distilled water. the detection of toxical substances, often contained in wine, is accomplished by the methods described under the head of detection of poisons. vinegar. vinegar is frequently adulterated with water, and occasionally sulphuric acid is added to artificially increase its acidity. the ordinary reagents--such as chloride of barium, or nitrate of silver--are not adapted to the direct detection of sulphuric acid, or of other mineral acids, as sulphates and chlorides, which are as readily precipitated as the free acids, may also be present. the following method, proposed by _m. payen_, is usually employed: five centigrammes of starch (fecula) are added to a decilitre of table vinegar, the mixture boiled for or minutes, and, after the fluid has become _completely cooled_, a few drops of iodine solution added: dilute acetic acid does not affect starch, and, in case the vinegar is pure, a blue coloration is produced; if, on the other hand, even a minute quantity of a mineral acid be present, the starch is converted into dextrine, and the addition of iodine fails to cause a blue coloration. the water present is indirectly estimated by determining the amount of acetic acid contained in the vinegar. this can be accomplished in different ways: either the quantity of a standard solution of an alkali, necessary to exactly neutralize a measured quantity of the vinegar, is ascertained, or the vinegar is supersaturated with solution of baryta, the excess of the salt eliminated by conducting carbonic acid through the fluid, the precipitate removed by filtration, and the baryta salt in the filtrate precipitated by the addition of sulphuric acid. the second precipitate is then collected on a filter, washed, weighed, and the amount of acetic acid present calculated: this is done by multiplying its weight by . . sulphate of quinine. owing to the high price of this salt, it is frequently adulterated. the substances used for this purpose are: crystalline sulphate of lime, boric acid, mannite, sugar, starch, salicine, stearic acid, and the sulphates of cinchonine and quinidine. these bodies are detected as follows: _a._ upon slightly warming grammes of sulphate of quinine with grammes of alcohol of ° b., the pure salt completely dissolves; if, however, starch, magnesia, mineral salts, or various other foreign substances are present, they are left as insoluble residues. _b._ those mineral substances that are soluble in alcohol are detected by calcining the suspected sample: pure sulphate of quinine is completely consumed; whereas, the mineral substances present remain behind as a residue. _c._ in presence of salicine, the salt acquires a deep red color, when treated with concentrated sulphuric acid. _d._ stearic acid remains undissolved upon treating sulphate of quinine with acidulated water. _e._ to detect sugar and mannite, the sample is dissolved in acidulated water, and an excess of hydrate of baryta added: a precipitate, consisting of quinine and sulphate of baryta, is produced. carbonic acid is then passed through the fluid, in order to precipitate the excess of baryta as insoluble carbonate, the fluid saturated with ammonia, to throw down the quinine which may have been re-dissolved by the carbonic acid, and the mixture filtered. if the salt be pure, no residue will be obtained upon evaporating the filtrate; a residue of sugar or mannite is formed, if these substances are present. _f._ sulphate of quinine invariably contains or per cent. of cinchonine, originating, not from a fraudulent admixture, but from an incomplete purification of the salt. one of the best methods for detecting the respective quantities of quinine and cinchonine, present in a sample of the sulphate, is the following: several grammes of ammonia and ether (which has previously been washed with water) are added to one or two grammes of the salt under examination, the mixture thoroughly agitated, and then allowed to remain at rest. the supernatant etherial solution contains all of the quinine; the cinchonine, which is almost completely insoluble, both in water and ether, remaining suspended between the layers of the two fluids. the ether is next removed by means of a stop-cock funnel, evaporated to dryness, and the weight of the residue obtained determined. the operation is then repeated, the ether being replaced by chloroform in which both quinine and cinchonine are soluble. the residue, formed by the evaporation of the second solution, will be heavier than the first residue: the difference between the two weighings gives the weight of the cinchonine present. _g._ the detection of the presence of sulphate of quinidine is based upon the difference in the solubilities of the oxalates of quinine and quinidine. oxalate of quinidine is sufficiently soluble in cold water not to be precipitated by double decomposition when solutions of oxalate of ammonia and sulphate of quinidine are mixed. under the same circumstances, quinine is almost completely thrown down. the test is applied as follows: the suspected salt is dissolved in water, a slight excess of oxalate of ammonia added, and the precipitate formed separated by filtration. if the salt be pure, the filtrate is scarcely rendered turbid by the addition of ammonia; when, however, sulphate of quinidine is present, it will be entirely contained in the filtrate, in which ammonia will produce an abundant precipitate. examination of blood stains. this branch of legal chemistry formerly gave but very unreliable results. it is scarcely ten years since the reactions that are now regarded as only secondary and confirmative in their character, and far from conclusive, were the only ones in use: these are the tests based upon the presence of iron and albumen in the blood. since then, great progress has been made in the methods employed. it must not be understood, however, that the question under consideration always admits of an easy and decisive solution: the stains are sometimes too greatly altered to be identified; but in cases where the distinctive reactions of blood can be produced, the real nature of the stains under examination can, at present, be determined with certainty. the tests more recently introduced consist in the production of small characteristic crystals, termed _haemin_ crystals, and in the use of the spectroscope. crystals of haemin (first discovered by _teichman_) are formed when dry blood is dissolved in concentrated acetic acid, and the solution evaporated to dryness: they are of a brownish-red color. _brücke_ first suggested an analytical method, based upon this property of blood, which is equally characteristic and sensitive: it is only necessary to dissolve a minute portion of the matter to be examined (dried blood, or the residue left by the evaporation of the fluid obtained by treating the stain, or the dried blood, with cold water) in glacial acetic acid and evaporate the solution to dryness in order to obtain crystals of haemin, which can be readily recognized by means of a microscope having a magnifying power of diameters. if the crystals originate from fresh blood, they appear as represented in fig. ; crystals from old blood are represented in fig. . [illustration: fig. .] [illustration: fig. .] the former possess a reddish-brown, the latter a lighter color. the various methods now employed to produce haemin crystals were proposed by _hoppe-seyler_, by _brücke_ and by _erdman_. whichever process is used, the suspected stains are at first carefully separated from the material upon which they are deposited. if they are present on linen, or other fabrics, the stained portions, which always remain somewhat stiff, are cut off: they will present a reddish-brown color, in case the cloth is not dyed: if the stains are on wood, they are removed by means of a sharp knife; if on stone or iron, they are detached by scraping. in case hoppe-seyler's method is used, the stains, separated as directed above, are macerated with a little _cold_ water (warm water would coagulate the albumen present, and consequently prevent solution taking place): the stains become soft, striae and brown or reddish clouds are observed, especially when the dried blood is fresh, and, at the same time, the objects upon which the stains were deposited are decolorized. upon allowing the fluid obtained in this way to spontaneously evaporate on a watch-glass, a reddish brown or brownish residue is left, from which the crystals of haemin are prepared in the following manner: an almost imperceptible amount of common salt is added to the residue, then, six to eight drops of concentrated acetic acid, and the mass thoroughly mixed by stirring with a small glass rod. the mixture is at first heated over a small gas flame, then evaporated to dryness by the heat of a water-bath. if the stains were produced by blood, a microscopic examination of the residue will reveal the presence of haemin crystals. this method presents an objection: if the stained objects have been washed with warm water previously to the examination, the albumen will be coagulated, and the blood rendered insoluble; in this case, cold water will fail to dissolve anything, and the residue will not produce crystals when treated with acetic acid. in order to remedy this difficulty brücke operates directly upon the stained woven or ligneous fibre, or the matter removed from the stone or iron: the materials are boiled in a test-tube with glacial acetic acid, the fluid decanted or filtered, a trace of common salt added, and the liquid then evaporated on a watch-glass at a temperature between and °. if the stains really originated from blood, haemin crystals will now be easily perceptible upon examining the residue obtained under the microscope. the stained fabric, the matter removed from the stone or iron, or the residue left by the solution with which the stains have been treated, is placed on the glass, a trace of chloride of sodium added, and the whole covered with a thin glass plate. a drop of acetic acid is then placed at the edge of the plates--between which it is soon introduced by capillary attraction--and the mixture allowed to rest in the cold for a few moments. the mass is next brought into solution by slightly heating, and is then evaporated by holding the plate at a considerable distance above a gas burner. the fluid is examined from time to time under the microscope: when it is sufficiently concentrated, crystals, presenting the appearance represented in figs. or , will be observed. these are especially well-defined, if an insoluble substance is also present between the plates--which prevents their adhering. the fluid collects by capillary attraction at the points of contact of the plates as a more or less colored layer, in which the crystals are deposited. should the above test fail to present distinctive indications at first, one or two fresh drops of acetic acid are introduced between the plates, and the examination is repeated. the result is not to be regarded as negative, until several trials have proved fruitless, as the stained portions are but slowly soluble, and crystallization may have been prevented by the too rapid evaporation of the acetic solution. haemin crystals, once seen, can hardly be confounded with other substances; still, it is well to identify them by confirming their insolubility in water, alcohol, and cold acetic acid, as well as their instantaneous solubility in soda lye. the addition of common salt is ordinarily superfluous, as it is normally contained in the blood; but it is possible, if the stains were washed with warm water, that, in addition to the coagulation of the albumen, the solution of the salt may have taken place, in which case crystals will fail to form. the addition of salt is to remedy this possible contingency; albeit, the delicacy of the test is not affected, even if crystals of chloride of sodium are produced, as these are easily soluble in water, and are readily distinguished from those of haemin by aid of the microscope. the indications furnished by means of the spectroscope are less reliable than those given by the production of haemin crystals; moreover, the spectroscopic examination requires favorable weather for its execution. still, the test should be employed in all possible instances. the course pursued is the following: the aqueous fluid, with which the stains have been treated, is placed in a watch glass, and evaporated _in vacuo_ over sulphuric acid; the last remaining portion of the fluid being united in the bottom of the glass by causing it to collect in a single drop. when the evaporation of fluid is completed, the watch-glass is placed before the narrowed slit of a spectroscope, and a ray of diffused light (or better, light reflected from a heliostat) made to pass through the part of the glass containing the residue. if the stains originate from blood, the absorption lines of _haemoglobin_, consisting of two large dark bands, to the right of the sodium line (_frauenhofer's_ line d), will be observed in the spectrum. in case both of the above tests fail to give positive results, it is almost certain that the stains examined were not caused by blood. if, on the contrary, the reactions were produced, scarcely any doubt exists as to the presence of blood. under these circumstances it is advisable to confirm the results by means of the tests that have been previously spoken of as being formerly exclusively employed; these are the following: _a._ / to c. c. of ozonized oil of turpentine, _i. e._ turpentine which has been exposed to the air sufficiently long to acquire the property of decolorizing water that is slightly tinted with indigo--is introduced in a test-tube, and an equal volume of tincture of guaiacum added (the latter tincture is prepared by treating an inner portion of the resin with alcohol, until its brownish color is changed to a brownish-yellow). if upon adding some of the substance under examination to the above mixture a clear blue coloration ensues, and the insoluble matter thrown down possesses a deep blue color, the presence of coloring matter of the blood is indicated. the mixture also imparts a blue color to moistened spots from which the blood stains have been as completely extracted as possible. unfortunately sulphate of iron gives the same reaction.[x] [x] fresh gluten, gum arabic, and caseine also cause the blue coloration.--_trans._ _b._ upon heating the fluid obtained by treating the stains with cold water in a test-tube, its brown or reddish color disappears, and greyish-white flakes of coagulated albumen are thrown down. the precipitate acquires a brick-red color, when treated with an acid solution of nitrate of mercury containing nitrous acid. the albumen is also coagulated by the addition of nitric acid: it assumes a more or less yellow color, if heated with a slight excess of the acid. chlorine-water, especially upon heating, likewise precipitates albumen in the form of white flakes. _c._ if the fluid is acidulated with a few drops of acetic acid, and a drop of ferrocyanide of potassium added, a white precipitate, or, at least, turbidity is produced. _d._ the flakes of albumen, separated by heating, dissolve in caustic alkalies to a solution, from which they are re-precipitated by nitric acid, or chlorine water. _e._ upon treating blood stains with chlorine-water, a solution which contains chloride of iron, and acquires a red coloration by the addition of sulphocyanide of potassium, is formed. _f._ should the stains have failed to be affected by cold water (which, as has already been remarked, is the case when they have been previously washed with hot water), they are treated with weak soda lye. nitric acid, hydrochloric acid, and chlorine water will produce in the solution so obtained a white precipitate, which exhibits the general properties of albumen previously described. in case the stains are deposited upon linen, it is necessary to replace the soda by ammonia, in order to avoid dissolving the fabric. _g._ solutions of the alkalies, which dissolve the albumen, leave the coloring matters intact, and consequently do not decolorize the fabric. if the latter is afterwards subjected to the action of hydrochloric acid, the coloring matter is dissolved, forming a solution that leaves upon evaporation to dryness a residue containing iron, which gives a blue coloration with ferrocyanide of potassium, and a red coloration with sulphocyanide of potassium. _h._ the coloring matter of blood dissolves in boiling alcohol, to which sulphuric acid has been added, to a brown dichroic fluid (appearing green by transmitted light, and red by reflected light). a mixture of rust and blood exhibits the same phenomenon. _i._ if substances containing blood are heated in a dry tube, an odor resembling that of burnt horn is emitted. in case the stained fabric is a substance that would produce this odor, (such as wool, silk, or hair), the test naturally loses all value. _j._ if the fluid obtained by treating the stains either with water or alkali is evaporated with a little carbonate of potassa, and the residue heated, at first at °, then to redness, in a glass tube to which a fresh quantity of carbonate of potassa has been added, cyanide of potassium is formed. when cold, the tube is cut above the part containing the fused mixture, the mass heated with iron-filings and water, the fluid filtered, and the filtrate then acidulated with hydrochloric acid: ferrocyanide of potassium will be present in the fluid, and upon adding a drop of solution of perchloride of iron a green, or blue, color will be produced, and a precipitate of prussian blue gradually thrown down. if the stained cloth is non-nitrogenous (_per ex._: hemp, linen, or cotton), instead of treating it with water, it may be heated until pulverulent, mixed with carbonate of potassa, the mixture calcined, and the operation then completed as just described. this test having given affirmative results, the operations should be repeated with an unstained portion of the cloth, to remove all doubt that the indications obtained do not really originate from the fabric. in the present state of science, it is impossible to discriminate chemically between human and animal blood. _m. barruel_, it is true, is able, not only to accomplish this, but also to distinguish the blood of the various species of animals by its odor! but this test has a somewhat hypothetical value for scientific purposes. in regard to the crystals of haemin, they do not present sufficient difference to allow the blood of different animals to be distinguished. we have not yet treated of the globules. it often occurs that these minute organs are so altered as to be no longer recognized in the microscopic examination; when, however, the stains are tolerably recent, they may be detected by examining the moistened stained cloth, directly under the microscope: a discrimination between animal and human blood is then possible: corpuscules of human blood possess the greater size: those of the sheep, for instance, have only one-half the diameter of the former. it is, however, but seldom that this distinction can be made use of.[y] [y] _menstrual blood_ is recognized by the presence of epithelial cells.--_trans._ examination of spermatic stains. in cases where attempt at violence, rape or pederasty is suspected, the expert may be required to determine the nature of stains found on clothing, sheets, etc. the fact that the stains were produced by semen, may often be regarded, _per se_, as criminating evidence. this class of investigation possesses, therefore, considerable importance. _external appearance of the stains._--dry spermatic stains are thin, and exhibit a greyish or, occasionally, a citron-yellow color, if present on white cloth. in case the fabric is colored, they appear whitish and, if on linen, present a glossy aspect. they are translucid, when observed by transmitted light. if the fabric, upon which the stains are deposited, is of a heavy texture, they are visible only on one side: under all circumstances, their circumference is irregular and undulated. these indications, however, are not conclusive, but vary according to whether the stains were produced by the thick semen of a vigorous man, or the aqueous seminal fluid of an aged and diseased person, or by semen more or less mixed with the prostatic fluid. upon moistening spermatic stains, the distinctive stale odor of fresh semen is sometimes emitted, but this characteristic is usually obscured by the presence of foreign substances. semen stains are soluble in water, forming a gummy fluid, in which chlorine, alcohol, bichloride of mercury, acetate and subacetate of lead produce a white precipitate, but which fails to be coagulated by heating. plumbate of potassa does not impart a fawn-color to these stains, at a temperature above °, as is the case with those produced by albuminous substances. persulphate of iron imparts to spermatic stains a pale yellow color, sulphate of copper, a bluish grey color, cupro-potassic tartrate, a bluish grey color, nitrate of silver, a pale grey color, nitric acid, a pale yellow color. the above reactions, separate or united, are insufficient; they are not very delicate, and are likewise produced by stains originating from the other varieties of mucus: the indications furnished by a microscopic examination of the stains are alone conclusive. _microscopic examination._--semen contains as its principal and fecundating constituent, peculiar vibratory filaments, (_spermatozoa_), held suspended in a viscous fluid. these filaments, when preserved in a warm and moist place, retain their activity for a considerable time: it is even possible that they may exhibit vitality in the organs, into which they have been voluntarily or forcibly ejaculated, for ten, or even twenty-four hours. when exposed to cold air, the spermatozoa quickly expire; still, they preserve their form for some time, and, as this is very characteristic, it is then easy to identify them; moreover, since they originate exclusively in the testicles, their detection may be considered as certain evidence of the presence of semen. in stains produced by aged persons, and by persons enfeebled by excesses, the spermatozoa fail to be presented; in case they are discovered, this fact evidently does not affect the certainty of the spermatic origin of the stains. the contrary conclusion is never absolutely certain: still, if the use of the microscope fails to establish the presence of spermatozoa, it is almost certain that the stains were not produced by semen. of the various methods for obtaining from the stains a preparation adapted to the microscopic examination, the one proposed by m. charles robin is the most simple and reliable. a strip, c. c. in size (comprising the entire stain, if this be small, containing its inner portion, if it be large), is cut from the fabric under examination, care being taken that the two extremities of the sample extend beyond the stained portion. one end of the cloth is then immersed in a capsule, or watch-glass, containing pure water: the stains become moistened by capillary attraction, and, in a space of time varying from twenty minutes to two hours, acquire the appearance of fresh semen. as soon as the stained portion becomes swollen and softened, the surface of the cloth is gently scraped with a spatula, and the substance removed placed on the slide of the microscope. the particles are next slightly detached, a drop of water added, if necessary, and the whole covered with a small plate of very thin glass. the preparation is then examined by a microscope, having a magnifying power of from to diameters. in this way, the presence of either entire or broken spermatozoa is readily detected. their existence is rendered still more apparent, if the mucus present is dissolved by adding a drop of acetic acid to the preparation. entire spermatozoa consist of long slender filaments, having a length of . to . millimetre; the anterior extremity presents an oval enlargement, either round or pyriform, exhibiting a double outline, when magnified to diameters. this enlarged end is termed the "head;" the entire remaining portion being regarded as the "tail." in case the spermatozoa are broken, they are severed either near the head or in the middle of the tail, and a mass of detached fragments will be observed in the microscopic examination. the spermatozoa are not the only corpuscules revealed by the microscope; other substances, entirely different in character, are often observed. although the detection of these bodies is, in itself, of no value, it will be well to enumerate and characterize them; they are: _a._ oily globules. _b._ leucocytes, or spherical and finely granulous globules of mucus. _c._ corpuscules, originating from the seminal vesicles, termed sympexions. these are rounded or ovoid, possess an irregular outline, and are usually mixed with the spermatozoa and globules of mucus. _d._ crystals of phosphate of magnesia, varying greatly in size; the largest are from .mm. to .mm. in length. the crystals formed upon cooling the semen, present the form of an oblique prism, with a rhomboidal base. occasionally they are elongated and flattened; they then assume the form of a rhomboid. _e._ epithelial cells; originating from the mucous follicles of the urethra. _f._ irregular grains of dust; soluble in acetic and hydrochloric acids, with gaseous evolution. _g._ brownish-red grains of rust; only slightly soluble in acetic acid, but easily soluble in hydrochloric acid. _h._ filaments of the strained fabric; detected by their texture, and general appearance. _i._ grains of starch, in case the cloth has been stiffened. these are almost invariably swollen, and are frequently broken and deformed. if the examination is to be secretly executed, and the cloth cannot well be cut, it is rolled in a cone, in such a way that the external side contains the stained portion. the lower extremity of the cone (which should be free from stains) is dipped in a watch-glass containing water, so as to avoid directly wetting the stains. the cone soon becomes moistened by absorption, and the operation is then completed in the same manner as when the fabric has been cut; which is always preferable, when possible. the examination of spermatic stains consists, then, in moistening the stains with water, separating them as completely as possible from the stained cloth, and determining the presence of the spermatozoa by means of the microscope. all other tests are valueless; even their execution for confirmatory purposes is not advisable; inasmuch as they fail to possess a distinctive character, and the reagents employed in their production may destroy the fabric, and thus prevent the formation of the only conclusive reaction--the detection of the spermatozoa. in case the stains are deposited upon a woman's chemise, they are usually present on both the front and back portions, and are sometimes to be found on the sleeves. when a man's shirt is under examination, especial attention should be given to the anterior portions. the pantaloons are also often stained; usually in the interior, but sometimes also on the exterior, just above the thighs. in reporting the decision to the court, as to the nature of the stains, their precise position should invariably be stated, as, by this means, the circumstances attending the commission of the crime may be, at least partially, elucidated. the end. appendix. the following list of the literature of toxicology, and its allied branches, will, it is hoped, be of service to those readers who are desirous of obtaining further information on the subjects treated in this work.--_trans._ books. *accum*; a treatise on adulteration of food, and culinary poisons. london, . *adrien*; recherches sur le lait au point de vue de sa composition, de son analyse, de ses falsifications et surtout de l'approvisionnement de paris. paris, . *angell and hehner*; butter; its analysis and adulterations. london, . *anglada*; traité de toxicologie. paris, . *atcherly*; adulteration of food. london, . *bandein*; die gifte und ihre gegengifte. basel, . *beck*; elements of medical jurisprudence. albany, . *bellini*; lezionis perementali di tossicologia. firenze, . *bergman*; zur kentniss der putriden gifte. dorpat, . *bernard*; leçons sur les substances toxiques. paris, . *billard*; considerations medico-légale sur les empoisonnements par les irritants. paris, . *blondlot*; sur la recherche de l'arsenic par la methode de marsh. nancy, . _ibid_; sur la recherche toxicologique du phosphore par la coloration de la flamme. nancy, . _ibid_; sur le dosage de l'antimoine dans les recherches toxicologiques. nancy, . *boettcher*; ueber blutkrystalle. dorpat, . *bonsels*; ein beitrag zur analyse des arsens, vorzugsweise in gerichtlichen fällen. kiel, . *borie*; catechisme toxicologique. tuelle, . *bouchardt et quevenne*; du lait. paris, . *bowman and bloxam*; medical chemistry. london, . *briand et chaudé*; manuel complet de médicine légale; contenant un manuel de chimie légale. paris, . *buchner*; toxikologie. nüremburg, . *bureaux*; histoire des falsifications des substances alimentaires. paris, . *chapman*; manual of toxicology. london, . *chatin*; recherches experimentals et considerations sur quelques princips de la toxicologie. paris, . *chiaje*; tossicologia. napoli, . *chaussier*; médicine légale. paris, . *chevalier*; dictionaire des alterations et falsifications des substances alimentaires, médicamenteuses et commerciales, avec l'indication des moyens de les reconnaitre. paris, . _ibid_; essais practiques sur l'examen chimique des vins, considéré sous la rapport judiciaire. paris, . *christison*; a treatise on poisons. edinburg, . *collier*; paradoxology of poisoning. london, . *cooper*; tracts on medical jurisprudence. phila., . *cormenin*; memoire sur l'empoisonnement par l'arsenic. paris, . *cotter*; adulteration of liquors. n. y., . *cottereau*; des alterations et des falsifications du vin, et des moyens physiques et chimiques employés pour les reconnaitre. paris, . *cox*; poisons; their effects, tests and antidotes. london, . *culbrush*; lectures on the adulteration of food, and culinary poisons. newburg, . *dalton*; adulteration of food. london, . *divergie*; médicine légale. paris, . *dragendorff*; beiträge zur gerichtlichen chemie einzelner organischen gifte. st. petersburg, . _ibid_; untersuchungen aus dem pharmaceutischen institut in dorpat. st. petersburg, . _ibid_; manuel de toxicologie; traduit par e. ritter. paris, . *druitt*; on wines. london, . *duflos*; die wichtigsten lebenbedürfnisse, ihre aechtheit und güte; verunreinigungen, verfälschungen, etc. breslau, . _ibid_; die prüfung chemischer gifte. breslau, . _ibid_; handbuch der angewandten gerichtlich-chemischen analyse der chemischen gifte; ihre erkennung in reinem zustand und in gemischen betreffend. leipzig, . *duflos u. hirsch*; das arsen; seine erscheinung, u. s. w. breslau, . *dupasquier*; consultation medico-légale relative à une accusation d'empoisonnement par le plomb. lyon, . *erhard*; die giftigen pflanzenalkaloiden und deren ausmittelung auf mikroskopischem wege. passau, . *eulenberg*; die lehre von den schädlichen und giftigen gasen. braunschweig, . *flandin*; traité des poisons. paris, . *flandin et danger*; de l'arsenic. paris, . *fop*; adulteration of food. london, . *fraise*; alimentation publique; le lait, ses falsifications, etc. nancy, . *frank*; manuel de toxicologie; traduit de l'allemand par vrankan. anvers, . *fresenius*; auffindung unorganischen gifte in speisen, u. s. w. braunschweig, . *friedrich*; die verfälschung der speisen und getränke. münster, . *galtier*; traité de toxicologie. paris, . *galtier de claubry*; de la recherche des alcalis organiques dans les cas d'empoisonnement. paris, . *ganeau*; alterations et falsifications des farines. lille, . *garnier*; des falsification des substances alimentaires et des moyens de les reconnaitre. paris, . *gerhardt*; précis d'analyse pour la recherche des alterations et falsifications des produits chimiques et pharmaceutiques. paris, . *garland*; précis d'analyse chemique qualitative. paris, . *gmelin*; allgemeine geschichte der thierischen und mineralischen gifte. erfurt, . *gorup-besanez*; anleitung zur qualitativen und quantitativen zoochemischen analyse. braunschweig, . *gosse*; des taches, au point de vue medico-légale. paris, . *griffin*; the chemical testing of wines and spirits. london, . *griffith and taylor*; a practical manual of the general, chemical, and microscopical character of the blood, etc. london, . *guerin*; nouvelle toxicologie. paris, . *guy*; principles of forensic medicine. london, . *gwosden*; ueber die darstellung des hämin aus dem blut und den qualitativen nachweis minimaler blutmengen. wien, . *hager*; untersuchungen. leipzig, . *hartung-schwarzkoff*; chemie der organischen alkalien. münchen, . *hassall*; adulteration of food. london, . *van hassett*; handbuch der giftlehre. braunschweig, . *helwig*; das mikroskop in der toxikologie. mainz, . *herman*; lehrbuch der experimentellen toxikologie. berlin, . *hitzig*; studien über bleivergiftung. berlin, . *hoffman*; manual of chemical analysis. n. y., . *hoppe-seyler*; handbuch der physiologisch und pathologisch chemischen analyse. berlin, . _ibid_; medicinisch-chemische untersuchungen. berlin, . *horsley*; the toxicologist's guide. london, . *how*; adulteration of food and drink. london, . *huseman*; handbuch der toxikologie. berlin, . *jaillard*; de la toxicologie du bichromate de potasse. strasbourg, . *jones (h. bence)*; chemistry of wines. london, . *klincke*; die verfälschung der nahrungsmittel, getränke, etc. leipzig, . *v. kupffer*; handbuch der alkoholometrie. wien, . *de lapparent*; les moyens de constater la pureté des principales huiles fixes. cherbourg, . *lefort*; etudes chimiques et toxicologiques sur la morphine. paris, . *legrand*; traité de médicine légale et de jurisprudence médical. paris, . *letheby*; on 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[ ] xx, . *davis*; chem. news, xxv., . *eulenberg and vohl*; poly. centralb., cxcvii, . *gobley*; jour. de pharm., april, . *hadon*; chem. news, . *hager*; ding. poly. jour., clxxiii, . *harsley*; archiv der pharm., july and dec., ; chem. news, xxv, . *moitessier*; annal. d'hygiene, . *odling*; j. soc. arts, april , . *oser*; ding. poly. jour., clxxxiii, . *rivot*; ann. de phys. et de chim., e série t, xlvii. *rummel*; ding. poly. jour., cxxxix, . *tasbender*; ding. poly. jour., no. , ccvi. *wanklyn*; archiv der pharm., dec., ; chem. news, xxxiii, no. ; ber. med. jour., march , . on the examination of fatty oils. *behrens*; ding. poly. jour., cxxxi, . *calvert*; pharm. j. trans., xiii, . *clarke*; chem. news, xxiii, . *dingl*; poly. jour., clxxiv. *donny*; bull. soc. d'erc, , ; jahresb., , . *dragendorff*; pharm. zeitsch. f. russl., ii, . *fluckiger*; chem. centralb., , . *glassner*; (trans.) am. chem., dec., . *gobley*; j. pharm. [ ], iv, ; ibid. v. . *jacobson*; bull. soc. chim., [ ] vii, . *langlies*; zeitsch. f. anal. chem., , . *ludwig*; archiv der pharm., [ ] i, . *macnaught*; chem. centralb., , . *massie*; zeitsch. f. anal. chem., , . *maumene*; compt. rend., xxxv, . *nickles*; bull. soc. chim., [ ] vi, *penot*; bull. de mullh., xxvi, ; jahresb., , . *roth*; bull. de mullh., , . *ure's* dict. of arts, etc., iii, . *vogel*; chem. centralbl., , . *watt's* dict. of chem., iv., . on the examination of milk. *boussingault*; ann. chem. phys. [ ] xxv, . *baumhauer*; j. pr. chem., lxxxiv, . *casselman*; chem. centralb., , . *dancer*; chem. news, v, , p. . *daubrawa*; jour. f. prakt. chem., lxxviii, . *donne*; compt. rend., xvii, pp. , . *filhol and joly*; wurtz's dict. de chim., t. ii, p. . *gmelin*; handb. der chem., viii, [ ] - . *heeren*; chem. centralb., , . *hermstaedt*; pharm. centralb., , . *kletzinsky*; chem. centralb., , . *lade*; chem. centralb., , . *leconte*; ibid, , . *lehman*; lehrb. der phys. chem., , ii, pp. , ; (trans. by day) ii, pp. , . *macadams*; am. chem., may, , . *marchand*; jour. de pharm., nov., . *michaelson*; ding. poly. jour., cxlix, . *millon*; compt. rend., lix, . *muller*; zeitsch. f. anal. chem., no. , . *otto*; ann. chem. pharm., cii, . *pelouze and fremy*; traité de chim. gen., [ edit.] paris, , p. . *pribram*; dings. poly. jour., cxcvii, *reichelt*; bayr. k. u. gwbl., , . *reineck*; ding. poly. jour., cci, . *rosenthal*; chem. centralb., , . *seely*; sill. am. j., vii, . *vernois and becqueret*; ann. d'hygiéne, april, . *voelcker*; am. chem., may, , p. . *vogel*; poly. notizbl., no. , . *wanklyn*; pharm. viertelj., xx, : milk jour., , , ; chem. news, xxviii, no. ; ibid, no. ; pharm. journ. trans., [ ] i, . on the detection of adulteration in wine and beer. wine. *beck*; edinb. phil. jour., . *berthelot and fleurien*; compt. rend., lvii, . *blume*; dings. poly. jour., clxx, . *bolly and paul*; manual of tech. anal., p. . *boyer and coulet*; compt. rend., lxxvi, . *brande*; phil. trans., . *cotlini*; ann. du genie civil, no. , . *cotlini and fantazini*; ann. di chim. appl. alla medi., juli, . *christison*; edinb. phil. jour., . *diez*; ann. ch. pharm., xcvi, . *duclaux*; ann. de chim. et de phys., july and sept., ; compt. rend. lxxviii, . *duffield*; am. jour. pharm., mar. . *dupre*; chem. soc. jour. xx, . *fantenelle*; j. chim. méd., iii, . *faure*; j. pharm., vii, . *fischern*; ann. chem. pharm., lviii, . *fresenius*; ibid, lxiii, . *geiger*; mag. f. pharm., xix, . *geromont*; ann. ch. pharm., xvii, . *hager*; zeitsch. f. anal. chem., , . *hitchcock*; edinb. phil. jour., xxxvii, . *jacquemin*; ann. de chim. et de phys. v, série, nov., ; compt. rend., lxxix, . *kersting*; ann. ch. pharm., lxx, . *khol*; j. chim. méd., [ ] ii, . *liebig, poggendorff and wohler*; handwörterb. ix, . *ludersdorf*; j. f. prak. chem., xxiv, . *maisch*; proc. am. pharm. assn., , ; , ; , . *mallard*; j. chim. méd., iii, . *maumene*; bull. soc. chim., xxii, no. . *miller*; jour. de pharm. et de chim., mar., . *mitis*; baierisch. k. u. gewerbeblatt, . *phipson*; zeitsch. f. anal. chem., ix, . *reiman's* farb. zeit., nos. - , . *romei*; mon. scien., iii, t. iii, no. . *salleron*; compt. rend., lxxviii, no. . *scheitz*; arch. pharm., [ ] v, . *schubert*; pogg. annal., lxx, . *sestini*; landwirthsch. ver. stat., xv, . *tuchschmeidt*; jahresb., , . *zierl*; baierisch. kunst. gewerbebl, . beer. *blas*; viertelj. f. prakt. pharm., xxi, . *brunner*; archiv der pharm., april, ; dings. poly. jour., ccix, no. ; jour. de pharm. et de chim., sept., ; poly. nolizblatt, no. , . *dietz*; neues jahresb. f. pharm., xxxix, no. . *dragendorff*; archiv. der pharm., april and may, ; dings. poly. jour., ccxiv, pp. , . *dullo*; wieck's gaz., , . *gunckel*; arch. f. pharm., clxiv. *kubinki*; le technol, no. ; (trans.) amer. chem., nov., ; dings. poly. jour. ccxi, . *langley*; chem. centralb., , . *meme*; compt. rend., me sem., no. . *michælis*; ill. gewerbz., , . *muspratt's* chem. i, . *pohl*; wiener akad. ber., xii, . *ritter*; pharm. zeitsch. f. russl., i, pp. , . *shafhauel*; ding. poly. jour., cxxxii, . *schmidt*; jour. f. prakt. chem., lxxxvii, . *stolber*; ibid, xciv, iii. *ure's* dict. chem., th edit., , p. . *vogel and hammon's* mitth., , . *wittstein*; archiv der pharm., jan. . on the testing of vinegar. *bussy and buignet*; jahresb., , . *greville*; ding. poly. jour., cxxxi, . *liebig, poggendorff and wohler*; handwörterb, ii, . *mohr*; ann. ch. pharm., xxxi, . *mollerat*; ann. chim., lxviii, . *nicholson*; ding. pol. jour., cxxxix, . *otto*; ann. chem. pharm., cii, . *roscoe*; chem. soc. jour., xv, . *runge*; gewz. bayer. , . *strohl*; jour. de pharm. et de chim., sept., . *toorn*; jour. f. chem., vi, . *wagner*; chem. tech., (english trans.) p. . *williams*; pharm. j. trans., xiii, . on the detection of adulterations in sulphate of quinine. *delondre and henry*; j. pharm., [ ] xxi, . *gmelin's* handbuch, xvii, . *guibourt*; j. pharm., [ ] xxi, . *henry*; ibid, xiii, . *hesse*; ann. ch. pharm., cxxxv, ; jahresb., , . *korner*; zeitsch. f. chem., j. i, ; jahresb. , . *phillips*; lond. lanc., i, . *riegel*; jahresb. f. pharm., xxv, . on the detection of blood stains. *barruel*; ann. d'hygiéne pub., i. ; ibid, no. , . *bertolet*; am. jour. med., sc., jan., . *brucke*; jahresb., , . *van deen*; zeitsch. f. anal. chem., ii, . *erdman*; jour. pr. chem., lxxxv, ; jahresb., , . *falck*; ber. klinisch. wochb., . *van geuns and gunning*; zeitsch. f. anal. chem., , . *gwosden*; wiener akad. ber., liii, [ ] ; jahresb., , . *helwig*; zeitsch. f. anal. chem., , . *hirsch*; n. j. pharm., xxxii, . *hoppe-seyler*; med. chem. unters., i, ; jahresb., , . *krauss*; jahresb., , . *liebig, poggendorff and wohler*; handwörterb., iv, . *liman*; jahresb., , . *lowe*; pharm. centralb., , . *mandl*; lond. lanc., dec. , , . *muller*; zeitsch. f. anal. chem., , iii. *orfila*; jour. des progés des sc., iv, ; archiv. gen. de méd., fev., . *papillon*; mon. scien. ques., jan., , . *reynolds*; br. med. jour., jan. , . *rose*; jahresb. der pharm., ii, ; jahresb., , . *roussin*; ann. d'hyg. et de méd. lég., . *scriba, simon and buchner*; jahresb., , . *sonnenschein*; jour. de pharm. et de chim., july, ; mon. scien., ii, . *sorby*; chem. news, , xi, pp. , , , . *struve*; zeitsch. f. anal. chem., , . *taylor*; guy's hosp. rep., . *wicke*; pharm. centralb., , . *wittstein*; arch. der pharm., ii, . *zollikopfer*; ann. d. chem. u. pharm., xciii, ; pharm. centralb., , . on the detection of spermatic stains. *bayard*; ann. d'hygiéne. pub., , no. . *renak*; diagnostisch. u. pathologisch. unters. berlin, , pp. , . *schmidt*; diagnostik verdäch. flecken, leipzig, , pp. - . * * * * * the following are the most important works relating to poisons and food-adulteration that have been issued since the publication of the first edition of this book: *adam*; Ã�tude sur les principales methodes d'essai et d'analyse du lait. paris, . *averbeck*; die verfälschung der nahrungsmittel. bremen, . *bastide*; vins sophistiqués. beriès, . *bauer*; die verfälschung der nahrungsmittel. berlin, . *bell*; analysis and adulteration of food. . *binz*; intoxicationen. tübingen, . *birnbaum*; einfache methoden zur prüfung lebensmittel. . *blane*; de la contrefaçon. *blas*; de la présence de l'acide salicylique dans les bierres. paris, . *blochman*; ueber verfälschung der nahrungsmittel. königsberg, . *blyth*; dictionary of hygiene. london, . _ibid_; manual of chemistry. london, . _ibid_; foods, composition and analysis. london, . _ibid_; poisons, effects and detection of. london, . *boehn*; herzgifte. *bolley*; manuel pratique d'essai et de recherches chimiques. paris, . *bronner*; chemistry of food and drink. london. *caldwell*; agricultural chemical analysis. n. y., . *casper*; handbuch der gerichtlichen medizin. berlin, . *church*; food. n. y., . *cooley's* practical receipts. *dannehl*; die verfälschung des bieres. berlin, . *dietzsch*; die wichtigsten nahrungsmittel, etc. zurich, . *dragendorff*; recherches des substances amères dans la bière. paris, . _ibid_; gerichtlich chemische ermittellung von giften. st. petersburg, . *elsner*; die praxis nahrungsmittel chemikers. leipzig, . *eulenberg*; handbuch der gewerbe-hygiene. berlin, . *falk*; lehrbuch der praktischen toxicologie. stuttgart, . *flick*; die chemie im dienst der öffentlichen gesundheitspflege. dresden, . *fluegge*; lehrbuch der hygienischen untersuchungsmethoden. leipzig, . *focke*; massregeln gegen verfälschung der nahrungsmittel. chemnitz, . *fox*; sanitary examination of water, air, and food. . *franchini*; palmelle prodigieuse. bologne, . *gamgee*; text-book of physiological chemistry. london, . *gaultier*; la sophistication des vins. paris, . *gimlini*; experimentelle untersuchung über die wirkung des aconitins. erlangen, . *goppelsroeder*; sur l'analyse des vins. mulhouse, . *grandeau*; handbuch für agricultur-chemische analysen. berlin, . *griessmayer*; die verfälschung der wichtigsten nahrungs-und genussmittel. . *hahn*; die wichtigsten d. his jetzt bekannten geheimmittel u. specialitäten. . *hausner*; fabrikation der conserven und conditen. leipzig, . *hemming*; aids to forensic medicine and toxicology. london, . *hilger*; die wichtigsten nahrungsmittel. erlangen, . *hoffman*; lehrbuch der gerichtlichen medizin. wien, . *hoppe-seyler*; physiologische chemie. berlin, . *husson*; du vin. paris, . _ibid_; le lait, la créme, et le beurre. . *johnson's* encyclopædia, vol. iv. p. . *johnson*; chemistry of common life. n. y., . *judell*; die vergiftung mit blausäure. erlangen, . *kensington*; analysis of foods. london, . *klencke*; illustrirtes lexicon der verfälschung der nahrungsmittel und getränke. leipzig, . *koenig*; chemische zusammensetzung der menschlichen nahrungsmittel. *lang*; die fabrikation der kunstbutter, sparbutter, und butterin. . *lessner*; atlas der gerichtlichen medizin. berlin, . *lieberman*; anleitung zur chemischen untersuchung auf der gebiete der medicinal-polizei. stuttgart, . *lintner*; lehrbuch der bierbrauerei. . *loebner*; massregeln gegen verfälschung der nahrungsmittel. chemnitz, . *luerssen*; medicinisch botanik. leipzig, . *maschka*; handbuch der gerichtlichen medizin. tübingen, . *medicus*; gerichtlich-chemische prüfung von nahrungs-und genussmitteln. . *montgomery*; essai de toxicologie. paris, . *muter*; a key to organic materia medica. . *ogston*; lectures on medical jurisprudence. london, . *palm*; die wichtigsten und gebrauchlichsten nahrungsmittel. st. petersburg, . *parkes*; hygiene. phila., . *pasteur*; Ã�tudes sur la bière. paris, . *pavy*; a treatise on food and dietetics. london, . *pennetier*; leçons sur les matières premières organiques. paris, . *praag*; leerbock voor practische giftleer. utrecht. *pratt*; food adulteration. chicago, . *prescott*; proximate organic analysis. n. y., . *ritter*; des vins colorés par la fuchsine. paris, . *reitleitner*; die analyse des weines. wien, . *schnacke*; wörterbuch der verfälschung. jena, . *schmidt*; anleitung sanitarisch-und polizeilich-chemischen untersuchungen. zurich, . *schroff*; beitrag zur kenntniss des aconits. wien, . *selmi*; chimica applicata all' igiene alla economia domestica. milan. *sharples*; food and its adulteration. preston, . *smith*; on foods. n. y., . *smith, ed.*; manual for medical officers of health. london, . _ibid_; handbook for inspectors of nuisances. london. *spon's* encyclopædia. london, . *squibb*; proper legislation on adulteration of food. n. y., . *steirlin*; ueber weinverfälschung und weinfarbung. bern, . _ibid_; das bier und seine verfälschung. bern, . *thudicum and dupre*; wine. *vogel*; praktische spectral-analyse. nordlingen, . *wanklyn*; tea, coffee, and cocoa. london, . *wanklyn and cooper*; bread analysis. london, . *wenyl*; analytisches hülfsbuch. berlin, . *wittstein*; taschenbuch des nahrungs-und genussmittel lehre. nordlingen, . *woodman*; handbook of forensic medicine. london, . *wurtz*; traité élémentaire de chimie médicale. paris. memoirs. alkaloids. journal chem. soc. i, , p. ; ibid, i, , p. ; ibid, may, ; ibid, ccxliv, , p. . trans. internat'l med. cong., , vol. i, p. . virch., arch. bd. , , s. ; ibid, bd. , , s. . archiv. d. pharm., jan. , ; ibid, [ ] vii, pp. - ; ibid, [ ] vi, p. . liebig, anal. bd. , . berl. klin. wochenschr. , . pflüger's, , . lancet, sept. , ; ibid, nov. , ; ibid, nov. , . bull. farm. milano, , p. . zeitsch. f. anal. chem. i, . gazett. chim. ital. vi, - . pharm. zeitschr. f. russland, i, p. . vierteljahrsschr. f. gericht. med. xxiii, p. . arsenic and antimony. archiv, f. exper. path. u. pharm., leipzig, . pharm. journ. trans. [ ] pp. - . med. jahrbuch, . journ. d'hygiène, juil., . medical times and gaz. , p. . chem. news, jan., , p. ; ibid, xxxiii., pp. and . am. chem. journ. ii, no. . bull. soc. chim. [ ] xxvi, p. ; ibid, jan. , . zeitsch. f. anal. chem. xiv, pp. , , ; ibid, i, p. . liebig, anal. ccvii, p. . lancet, , p. ; ibid, may , . journ. chem. soc. no. , . mercury, copper and lead. zeit. f. phys. chem. , i, p. . analyst, , p. . chem. news, xxxi, p. ; ibid, xxxi, p. ; ibid, xxxiv, pp. , , and . analyst, , pp. and . journ. chem. soc. , ii, p. . dingl. pol. journ. ccxx, . med. gazette, xlviii, . prussic acid. analyst, apr., , p. . bull. gen. de thér. no. . am. journ. phys. sci., arnold, . virch., arch. f. path. anat. bd. , p. . news repert. f. pharm., , . journ. chem. soc. , i, p. . bericht. d. deutsch. chem. gess. ix, p. . viertelj. f. ger. med. , p. . zeit. f. anal. chem. von fresenius, xii, p. . flour and bread. analyst, june, ; ibid, jan., ; ibid, , no. ; ibid, vi, , p. ; ibid, iii, pp. , . chem. news, , , xxxix, p. . dingl. pol. journ. bd. . journ. pharm. [ ] iv, . chem. centr'b't, , . pharm. journ. xiii, . journ. chem. med. , p. . an. d. chem. u. pharm, bd. , u. . journ. f. pract. chem. xcix, ; ciii, , , , . zeit. anal. chem. , p. ; ibid, , vol. xviii, p. . chem. soc. jour. xxxv, p. . jour. d'hygiène, may, . pharm. jour. trans. , cccxii, . pharmacographia, , p. . sanitary engineer, vol. v, p. . tea. pharm. journ. ; d series, . chem. news, xxx, (allen); xxx, ; xxviii, . journ. pharm. [ ] xxvi, ; xii, , . analyst, june, ; (wigner). journ. chem. soc. , , ; ix, , ; . journ. f. pract. chem. x, ; xciv, ; li, . bull. soc. chim. [ ] xxvii, . journ. de pharm. d'anvers, , . journ. pharm. et chim. série, , xxiv, . repert. de pharm. , vii, p. . journ. chim. méd. série, , x, ; , . ann. chem. pharm. xxvi, ; xxix, ; xxxvi, . ann. chem. pharm. lxxxii, ; cxii, ; i, ; , ; lxiii, ; lxix, ; lxxi; cxviii, . ann. chem. xxv, . med. press and circular, , p. . kastu. arch. vii, . deut. chem. ges. ber. ix, . parliamentary papers, . mag. pharm. xix, . ann. chim. phys. [ ] xi, . schweigg, journ. chem. phys. lxi, ; lxiv, . phil. mag. j. xxiii, ; xiii, . milk. analyst, , jan. and may; , p. ; no. ; sept., dec.; , jan.; p. ; , mar. chem. news, . journ. chem. soc. clxxxix, sept., . comptes rendus, t. , . ann. chem. pharm. lxi, . milch zeit. , . wine and beer. analyst, , pp. , , , . ann. chim. phys. [ ] ii, pp. - . bull. soc. chim. [ ] xxv. deut. chem. ges. ber. ix, . comptes rendus, lxxxiv, . journ. chim. méd. t. ix, p. . arch. pharm. [ ] v. , , bd. , p. . chem. soc. journ. ii, , p. . ann. d'hyg. et méd. lég. , xvii, pp. , . vinegar. analyst, iii, , p. ; i, , p. . ann. d'hyg. et méd. lég. sér. t. xii. pharm. journ., jul. , . * * * * * within the last few years the subject of food-adulteration has been so prominently brought before the public that, in many instances, the various state boards of health have commissioned their chemists to furnish reports on this subject. these may be found in the annual publications of the same, notably in the volumes issued by the massachusetts, michigan, new jersey, and new york state boards of health. it may also be mentioned in this connection that the _sanitary engineer_ of new york, the _analyst_ of london, the _zeitschrift für untersuchung von lebensmitteln_, eichstatt, and the _zeitschrift gegen verfälschung der lebensmittel_, leipzig, are journals devoted to the consideration of adulterations and the more recent methods employed for their detection. j. p. b. index. a. acetic acid, , acids, , acetic, , boric, formic, hydriodic, hydrobromic, hydrochloric, hydrocyanic, hydrofluoric, hydrosulphuric, nitric, , oxalic, , , , phosphoric, , , phosphorous, sulphuric, , , aconitine, alcoholmeter (gay-lussac's), alkalies, , ammonia, baryta, lime, potassa, soda, strontia, alkaloids, aconitine, aniline, aricine, atropine, beberine, brucine, cinchonine, codeine, colchicine, conine, delphine, digitaline, emetine, morphine, narcotine, nicotine, papaverine, picrotoxine, quinine, solanine, strychnine, veratrine, alkaloids, separation of, by stas's method, separation of, by otto's method, separation of, by v. uslar and erdman's method, separation of, by rodgers & girdwood's method, separation of, by prollius's method, separation of, by graham & hofman's method, separation of, by dialysis, alkaloids, identification of, alloys, examination of, alum in flour and bread, aniline, antimony, , , detection of, by flandin and danger's method, detection of, by naquet's method, aricine, arsenic, , , detection of, by the method used prior to marsh's test, detection of, by marsh's test, detection of, by raspail's test, detection of, by reinsch's test, arsenic, estimation of, ashes, examination of, atropine, b. barley meal in flour, baryta, barreswil's test for milk, berberine, bicarbonate of soda in milk, bismuth, blood stains, detection of, bleaching of hair, boric acid, boutigny's examination of fire-arms, bromine, , , , brücke's test for blood stains, brucine, buckwheat in flour, , c. cadmium, carbonate of lime and magnesia in flour, cerebral substances in milk, chalk in milk, chlorine, chromium, cinchonine in sulphate of quinine, codeine, conine, coins, examination of, colchicine, copper, , corn meal in flour, , d. darnel in flour, delphine, determinative tests for poisons, digitaline, dusart's test for phosphorus, dialysis, , dyeing of hair, e. emetine, emulsion of almonds in milk, f. fire-arms, examination of, weapons provided with a flint, weapons not provided with a flint, fixed oils, examination of, hempseed, olive, flandin and danger's test for antimony, flandin and danger's test for mercury, food (flour and bread), examination of the gluten, examination of the starch, examination of the ash, formic acid, fresenius & neubauer's test for phosphorus, g. galactoscope, graham and hofman's method for alkaloids, ground bones in bread and flour, gum arabic in milk, gum tragacanth in milk, h. hæmin crystals, hair, examination of, hempseed oil, hoppe-seyler's test for blood, hydriodic acid, hydrobromic acid, hydrochloric acid, , hydrocyanic acid, hydrofluoric acid, hydrosulphuric acid, i. iodides, , iodine, , indicative tests for poisons, l. lactodensimeter, lactometer, lactoscope, lassaigne's test for writings, lead, legumens in flour, , , lentils in flour, lime, lime in flour, linseed meal in flour, m. macadam's method for alkaloids, magnesia in sulphate of quinine, mannite in sulphate of quinine, marchand's test for milk, marsh's test for arsenic, mercury, , , detection of, by smithson's pile, detection of, by flandin and danger's method, metals, antimony, , , arsenic, , , bismuth, cadmium, chromium, copper, , lead, mercury, , , silver, tin, , zinc, milk, examination of, mineral substances, in flour and bread, in milk, in sulphate of quinine, mistcherlich's test for phosphorus, morphine, n. naquet's test for antimony, narcotine, nicotine, nitric acid, , o. oatmeal in flour, oleometer, olive oil, orfila's test for phosphorus, organic matter destruction of, by _aqua regia_, destruction of, by chlorate of potassa, destruction of, by chlorine, destruction of, by nitrate of potassa, destruction of, by nitric acid, destruction of, by potassa and nitrate of lime, destruction of, by potassa and nitric acid, destruction of, by sulphuric acid, otto's method for alkaloids, oxalic acid, , , , p. papaverine, payen's test for vinegar, phosphoric acid, , , phosphorous acid, phosphorus, , detection of, by orfila's method, detection of, by mistcherlich's method, detection of, by dusart's method, detection of, by fresenius and neubauer's method, estimation of, picrotoxine, plaster in flour, poisons, detection of in cases where no clew exists, in cases where a clew exists, destruction of the organic matter, indicative tests, determinative tests, potato meal in flour, potassa, , prollius' method for alkaloids, prussic acid, q. quinine, r. raspail's test for arsenic, reinsch's test for arsenic, reveil's test for vinegar, rice meal in flour, robin's method for spermatic stains, rodgers and girdwood's method for alkaloids, rye meal in flour, , s. salicine in sulphate of quinine, sand in flour, silver, smithson's pile, soda, , , solanine, spermatic stains, detection of, spermatozoa, starch in sulphate of quinine, stearic acid in sulphate of quinine, stas's method for alkaloids, strychnine, sugar in milk, sugar in sulphate of quinine, sulphate of copper in bread, sulphate of quinidine in sulphate of quinine, sulphate of quinine, examination of, sulphuretted hydrogen, sulphuric acid, , , sympathetic inks, tests for, t. tea, tin, , u. v. uslar and erdman's method for alkaloids, v. veratrine, vinegar, examination of, w. wines, examination of, writings, examination of, z. zinc, becker & sons, manufacturers of balances and weights of precision, for [illustration] chemists, assayers, jewelers, druggists, _and in general for every use where accuracy is required_, no. murray st., new york. every balance and set of weights leaving this establishment is guaranteed to be accurately adjusted, as represented in our price list. --> our illustrated price list mailed on application. catalogue of the scientific, military, and naval publications of d. van nostrand, murray street and warren street, new york. *abbot, maj. henry l.--siege artillery against richmond.* illustrated. vo, cloth $ *adams, j. w.--sewers and drains for populous districts.* embracing rules and formulas for the dimensions and construction of works of sanitary engineers. second edition. vo, cloth *aldrich, m. almy.--history of the united states marine corps.* from official reports and other documents. compiled by capt. richard s. collum. vo, cloth *alexander, j. h.--universal dictionary of weights and measures*, ancient and modern, reduced to the standards of the united states of america. new edition, enlarged. vo, cloth *anderson, gen. robert.--evolutions of field batteries of artillery.* translated from the french, and arranged for the army and militia of the united states. published by order of the war department. plates. mo, cloth *andrews, maj.-gen. c. c.--campaign of mobile.* including the co-operation of general wilson's cavalry in alabama. with five maps and views. vo, cloth ---- *hints to company officers on their military duties.* mo, cloth *arnold, maj. a. k.--cavalry service.* notes on horses for cavalry service, embodying the quality, purchase, care, and diseases most frequently encountered, with lessons for bitting the horse and bending the neck. illustrated. mo, cloth *arnold, maj. frank s.--the discipline and drill of militia.* crown vo, limp cloth *atwood, geo.--practical blow-pipe assaying.* mo, cloth, illustrated *auchincloss, w. s.--link and valve motions simplified.* illustrated with wood-cuts and lithographic plates, together with a travel scale and numerous useful tables. vo, cloth *axon, w. e. a.--the mechanic's friend.* a collection of receipts and practical suggestions relating to aquaria--bronzing--cements--drawing--dyes--electricity--gilding-- glass-working--glues--horology--lacquers--locomotives--magnetism-- metal-working--modelling--photography--pyrotechny--railways--solders-- steam-engine--telegraphy--taxidermy--varnishes--waterproofing, and miscellaneous tools, instruments, machines, and processes connected with the chemical and mechanic arts. with numerous diagrams and wood-cuts. fancy cloth *bacon, f. w.--a treatise on the richards steam-engine indicator, with directions for its use.* by charles t. porter. revised, with notes and large additions as developed by american practice; with an appendix containing useful formulæ and rules for engineers. illustrated. fourth edition. mo, cloth *barba, j.--the use of steel for constructive purposes;* method of working, applying, and testing plates and brass. with a preface by a. l. holley, c.e. mo, cloth *barnard, maj.-gen. j. g.--the "c. s. a." and the battle of bull run.* vo, cloth ---- *the peninsular campaign and its antecedents,* as developed by the report of maj.-gen. geo. b. mcclellan and other published documents. vo, cloth mo, paper ---- *notes on sea-coast defence.* consisting of sea-coast fortification; the fifteen-inch gun; and casemate embrasure. with an engraved plate of the fifteen-inch gun. vo, cloth *barnard, maj.-gen. j. g., and barry, maj.-gen. w. f.--report of the engineer and artillery operations of the army of the potomac,* from its organization to the close of the peninsular campaign. illustrated by maps, plans, etc. vo, cloth *barnes, lieut.-com. john s.--submarine warfare, defensive and offensive.* comprising a full and complete history of the invention of the torpedo, its employment in war, and results of its use. descriptions of the various forms of torpedoes, submarine batteries, and torpedo boats actually used in war. with lithographic plates and many wood-cuts, vo, cloth *barre duparcq, edward de la.--elements of military art and history.* translated by col. geo. w. cullum, u.s.e. vo, cloth *barrett, capt. edward.--dead reckoning; or, day's work.* vo, flexible cloth ---- *gunnery instructions.* mo, cloth *beilstein, f.-an introduction to qualitative chemical analysis.* translated by i. j. osbun. mo, cloth *benet, gen. s. v.--electro-ballistic machines,* and the schultz chronoscope. second edition. illustrated. to, cloth ---- *military law and courts-martial.* a treatise on military law and the practice of courts-martial. sixth edition, revised and enlarged. vo, law sheep *benton, col. j. g.--ordnance and gunnery.* a course of instruction in ordnance and gunnery. compiled for the use of the cadets of the u. s. military academy. illustrated. fourth edition, revised and enlarged. vo, cloth *berriman, maj. m. w--the militiaman's manual and sword-play without a master.* rapier and broad-sword exercises, copiously explained and illustrated; small-arm light infantry drill of the united states army; infantry manual of percussion musket; company drill of the united states cavalry. fourth edition. mo, cloth *blake, w. p.--report upon the precious metals;* being statistical notices of the principal gold and silver producing regions of the world, represented at the paris universal exposition. vo, cloth ---- *ceramic art.* a report on pottery, porcelain, tiles, terra-cotta, and brick. vo, cloth *bow, r. h.--a treatise on bracing,* with its application to bridges and other structures of wood or iron. illustrations. vo, cloth *bowser, prof. e. a.--an elementary treatise on analytic geometry.* embracing plain geometry, and an introduction to geometry of three dimensions. mo, cloth ---- *an elementary treatise on the differential and integral calculus.* with numerous examples. mo, cloth *boynton, maj. edward c.--history of west point,* and its military importance during the american revolution; and the origin and progress of the u. s. military academy. with maps and engravings. second edition. vo, fancy cloth *brandt, j. d.--gunnery catechism.* as applied to the service of the naval ordnance. adapted to the latest official regulations, and approved by the bureau of ordnance, navy department. revised edition. illustrated. mo, cloth *brewerton, g. d.--the automaton battery; or, artillerist's practical instructor.* for all mounted artillery manoeuvres in the field. in box when sent by mail ---- *the automaton regiment; or, infantry soldier's practical instructor.* for all regimental movements in the field. in box when sent by mail ---- *the automaton company; or, infantry soldier's practical instructor.* for all company movements in the field. in box when sent by mail *brinkerhoff, capt. r.--the volunteer quartermaster.* mo, cloth *buckner, lieut. w. p.--calculated tables of ranges for navy and army guns.* vo, cloth *burgh, n. p.--modern marine engineering,* applied to paddle and screw propulsion. consisting of colored plates, practical wood-cut illustrations, and pages of descriptive matter, the whole being an exposition of the present practice of james watt & co., j. & g. rennie, r. napier & sons, and other celebrated firms. thick to vol., cloth half morocco *burt, w. a.--key to the solar compass, and surveyor's companion.* comprising all the rules necessary for use in the field; also description of the linear surveys and public land system of the united states, notes on the barometer, suggestions for an outfit for a survey of four months, etc. fifth edition. pocket-book form, tuck *butler, capt. john s.--projectiles and rifled cannon.* a critical discussion of the principal systems of rifling and projectiles, with practical suggestions for their improvement, as embraced in a report to the chief of ordnance, u. s. army. to, plates, cloth *cain, prof. wm.--a practical treatise on voussoir and solid and braced arches.* mo, cloth extra *caldwell, prof. geo. c., and breneman, prof. a. a.--manual of introductory chemical practice.* for the use of students in colleges and normal and high schools. third edition revised and corrected. vo, cloth, illustrated. new and enlarged edition *campin, francis.--on the construction of iron roofs.* vo, with plates, cloth *casey, brig.-gen. silas--u. s. infantry tactics.* vol. i.--school of the soldier; school of the company; instruction for skirmishers. vol. ii.--school of the battalion, vol. iii.--evolutions of a brigade; evolutions of a corps d'armée. lithographed plates. vols. mo, cloth *chauvenet, prof. w.--new method of correcting lunar distances, and improved method of finding the error and rate of a chronometer, by equal altitudes.* vo, cloth *church, john a.--notes of a metallurgical journey in europe.* vo, cloth *clark, d. kinnear, c.e.--fuel,* its combustion and economy; consisting of abridgments of treatise on the combustion of coal and the prevention of smoke, by c. w. williams; and the economy of fuel, by t. s. prideaux. with extensive additions on recent practice in the combustion and economy of fuel: coal, coke, wood, peat, petroleum, etc. mo, cloth ---- *a manual of rules, tables, and data for mechanical engineers.* based on the most recent investigations. illustrated with numerous diagrams. , pages. vo, cloth half morocco *clark, lt. lewis, u. s. n.--theoretical navigation and nautical astronomy.* illustrated with wood-cuts. vo, cloth *clarke, t. c.--description of the iron railway bridge over the mississippi river at quincy, illinois.* illustrated with lithographed plans. to, cloth *clevenger, s. r.--a treatise on the method of government surveying,* as prescribed by the u. s. congress and commissioner of the general land office, with complete mathematical, astronomical, and practical instructions for the use of the united states surveyors in the field. mo, morocco *coffin, prof. j. h. c.--navigation and nautical astronomy.* prepared for the use of the u. s. naval academy. sixth edition. wood-cut illustrations. mo, cloth *colburn, zerah.--the gas-works of london.* mo, boards *collins, jas. e.--the private book of useful alloys and memoranda for goldsmiths, jewellers, etc.* mo, cloth *cooke, brig.-gen. philip. st. george.--new cavalry tactics.* mo, morocco ---- *cavalry practice.* regulations for the movements of the cavalry of the army. mo. *cornwall, prof. h. b.--manual of blow-pipe analysis, qualitative and quantitative.* with a complete system of descriptive mineralogy. vo, cloth, with many illustrations *craig, b. f.--weights and measures.* an account of the decimal system, with tables of conversion for commercial and scientific uses. square mo, limp cloth *craig, prof. thos.--elements of the mathematical theory of fluid motion.* mo, cloth *craighill, wm. p.--the army officer's companion.* principally designed for staff officers in the field. partly translated from the french of m. de rouvre, lieut.-col. of the french staff corps, with additions from standard american, french, and english authorities. mo, full roan *cullum, col. george w.--military bridges.* systems of military bridges in use by the u. s. army; those adopted by the great european powers; and such as are employed in british india. with directions for the preservation, destruction, and re-establishment of bridges. with folding plates. vo, cloth *davis, c. b., and rae, f. b.--hand-book of electrical diagrams and connections.* illustrated with full-page illustrations. second edition. oblong vo, cloth extra *diedrich, john.--the theory of strains.* a compendium for the calculation and construction of bridges, roofs, and cranes. illustrated by numerous plates and diagrams. vo, cloth *dixon, d. b.--the machinist's and steam-engineer's practical calculator.* a compilation of useful rules, and problems arithmetically solved, together with general information applicable to shop-tools, mill-gearing, pulleys and shafts, steam-boilers and engines. embracing valuable tables, and instruction in screw-cutting, valve and link motion, etc. mo, full morocco, pocket form *dodd, geo.--dictionary of manufactures, mining, machinery, and the industrial arts.* mo, cloth *douglass, prof. s. h., and prescott, prof. a. b.--qualitative chemical analysis.* a guide in the practical study of chemistry, and in the work of analysis. fourth edition. vo, cloth *duane, gen. j. c.--manual for engineering troops.* consisting of--part i. ponton drill; ii. practical operations of a siege; iii. school of the sap; iv. military mining; v. construction of batteries. with plates and numerous wood-cut illustrations. mo, half morocco *dubois, a. j.--the new method of graphical statics.* with illustrations. vo, cloth *dufour, gen. g. h.--the principles of strategy and grand tactics.* translated from the french, by william p. craighill, u. s. engineers, from the last french edition. illustrated. mo, cloth *duryea, col. a.--standing orders of the seventh regiment national guards.* new edition. mo, cloth *eassie, p. b.--wood and its uses.* a hand-book for the use of contractors, builders, architects, engineers, and timber merchants. upwards of illustrations. vo, cloth *eddy, prof. h. t.--researches in graphical statics.* embracing new constructions in graphical statics, a new general method in graphical statics, and the theory of internal stress in graphical statics. vo, cloth *eliot, prof. c. w., and storer, prof. f. h.--a compendious manual of qualitative chemical analysis.* revised with the co-operation of the authors. by prof. william r. nichols. illustrated. mo, cloth *elliot, maj. geo. h., u. s. e--european light-house systems.* being a report of a tour of inspection made in . engravings and wood-cuts. vo, cloth *engineering facts and figures.* an annual register of progress in mechanical engineering and construction for the years - - - - - . fully illustrated vols. mo, cloth (each volume sold separately), per vol: *fanning, j. t.--a practical treatise on water-supply engineering.* relating to the hydrology, hydrodynamics, and practical construction of water-works in north america. third edition. with numerous tables and illustrations. pages. vo, cloth *fiske, lieut. bradley a., u. s. n.--electricity in theory and practice; or, the elements of electrical engineering.* vo, cloth *foster, gen. j. g., u. s. a.--submarine blasting in boston harbor, massachusetts.* removal of tower and corwin rocks. illustrated with seven plates. to, cloth *foye, prof. j. c.--chemical problems.* with brief statements of the principles involved. second edition, revised and enlarged. mo, boards *francis, jas. b., c. e.--lowell hydraulic experiments:* being a selection from experiments on hydraulic motors, on the flow of water over weirs, in open canals of uniform rectangular section, and through submerged orifices and diverging tubes. made at lowell, massachusetts. fourth edition, revised and enlarged, with many new experiments, and illustrated with twenty-three copperplate engravings. to, cloth *free-hand drawing.* a guide to ornamental figure and landscape drawing. by an art student. mo, boards *fry, brig.-gen. james b.--army sacrifices; or, briefs from official pigeon-holes.* sketches based on official reports, grouped together for the purpose of illustrating the services of the regular army of the united states on the indian frontier. mo. ---- *history of brevet rank.* the history and legal effects of brevets in the armies of great britain and the united states, from the origin in until the present time. crown vo, extra cloth *gillmore, gen. q. a.--treatise on limes, hydraulic cements, and mortars.* papers on practical engineering, u. s. engineer department, no. , containing reports of numerous experiments conducted in new york city during the years to , inclusive. with numerous illustrations. vo, cloth ---- *practical treatise on the construction of roads, streets, and pavements.* with illustrations. mo, cloth ---- *report on strength of the building-stones in the united states, etc.* vo, illustrated, cloth ---- *coignet beton and other artificial stone.* plates, views, etc. vo, cloth ---- *fort sumter.* official report of operations against the defences of charleston harbor, . comprising the descent upon morris island, the demolition of fort sumter, and the siege and reduction of forts wagner and gregg. with lithographic plates, views, maps, etc. vo, cloth half russia ---- *supplementary report on fort sumter.* supplementary report to the engineer and artillery operations against the defences of charleston harbor in . with lithographed maps and views. vo, cloth ---- *siege and reduction of fort pulaski, georgia.* illustrated by maps and views. vo, cloth *goodeve, t. m.--a text-book on the steam-engine.* illustrations. mo, cloth *gordon, j. e. h.--four lectures on static induction.* mo, cloth *grafton, capt. henry d.--a treatise on the camp and march.* with which is connected the construction of field-works and military bridges. mo, cloth *greener, wm., r. c. e.--a treatise on rifles, cannon, and sporting arms.* vo, cloth full calf *gruner, m. l.--the manufacture of steel.* translated from the french, by lenox smith, with an appendix on the bessemer process in the united states, by the translator. illustrated. vo, cloth *guide to west point and the u. s. military academy.* with maps and engravings. mo, flexible cloth *half-hours with modern scientists.--lectures and essays,* by professors huxley, barker, stirling, cope, tyndall, wallace, roscoe, huggins, lockyer, young, mayer, and reed. being the university series bound up. with a general introduction by noah porter, president of yale college. vols. mo, cloth, illustrated *hamersly, lewis b.--the records of living officers of the u. s. navy and marine corps.* compiled from official sources. third edition. cloth, vo. *hamilton, w. g.--useful information for railway men.* sixth edition, revised and enlarged. pages, pocket form. morocco, gilt *harrison, col. walter.--pickett's men.* a fragment of war history. with portrait of gen. pickett. mo, cloth *harrison, w. b.--the mechanic's tool book,* with practical rules and suggestions for use of machinists, iron-workers, and others. illustrated with engravings. mo, cloth *harwood, a. a.--naval courts-martial.* law and practice of united states naval courts-martial. adopted as a text-book at the u. s. naval academy. vo, law-sheep *haskins, c. h.--the galvanometer and its uses.* a manual for electricians and students. second edition. mo, morocco *haupt, brig.-gen. herman.--military bridges.* for the passage of infantry, artillery, and baggage-trains; with suggestions of many new expedients and constructions for crossing streams and chasms. including also designs for trestle and truss bridges for military railroads, adapted specially to the wants of the service of the united states. illustrated by lithographic engravings. vo, cloth *head, capt. george e.--a new system of fortifications.* illustrated. to, paper *heavy artillery tactics: .* instructions for heavy artillery; prepared by a board of officers, for the use of the army of the united states. with service of a gun mounted on an iron carriage, and plates. mo, cloth *henrici, olaus.--skeleton structures, especially in their application to the building of steel and iron bridges.* with folding plates and diagrams. vo, cloth *henry, guy v.--military record of civilian appointments in the united states army.* vols. vo, cloth *heth, capt. henry.--system of target practice.* for the use of troops when armed with the musket, rifle-musket, rifle, or carbine. prepared principally from the french. mo, cloth *hewson, wm.--principles and practice of embanking lands from river floods, as applied to the levees of the mississippi.* vo, cloth *holley, alexander l.--a treatise on ordnance and armor.* embracing descriptions, discussions, and professional opinions concerning the materials, fabrication, requirements, capabilities, and endurance of european and american guns, for naval, sea-coast, and iron-clad warfare, and their rifling, projectiles, and breech-loading; also, results of experiments against armor, from official records, with an appendix referring to gun-cotton, hooped guns, etc., etc. pages, engravings, and tables of results, etc. vo, half roan half russia ---- *railway practice.* american and european railway practice in the economical generation of steam, including the materials and construction of coal-burning boilers, combustion, the variable blast, vaporization, circulation, superheating, supplying and heating feed-water, etc., and the adaptation of wood and coke-burning engines to coal-burning; and in permanent way, including road-bed, sleepers, rails, joint-fastenings, street railways, etc., etc. with lithographed plates. folio, cloth *hotchkiss, jed., and allan, william.--the battle-fields of virginia.* chancellorsville, embracing the operations of the army of northern virginia, from the first battle of fredericksburg to the death of lt.-gen. t. j. jackson. illustrated with five maps and portrait of stonewall jackson. vo, cloth *howard, c. r.--earthwork mensuration on the basis of the prismoidal formulæ.* containing simple and labor-saving method of obtaining prismoidal contents directly from end areas. illustrated by examples, and accompanied by plain rules for practical uses. illustrated. vo, cloth *hunter, capt. r. f.--manual for quartermasters and commissaries.* containing instructions in the preparation of vouchers, abstracts, returns, etc. mo, cloth flexible morocco *induction-coils.--how made and how used.* illustrations. mo, boards *instructions for field artillery.* prepared by a board of artillery officers. to which is added the "evolutions of batteries." translated from the french by brig.-gen. r. anderson, u. s. a. plates. mo, cloth *isherwood, b. f.--engineering precedents for steam machinery.* arranged in the most practical and useful manner for engineers. with illustrations. two volumes in one. vo, cloth *ives, lieut. r. a.--military law.* a treatise on military law, and the jurisdiction, constitution, and procedure of military courts. with a summary of the rules of evidence as applicable to such courts. pages. vo, law-sheep *jannettaz, edward--a guide to the determination of rocks:* being an introduction to lithology. translated from the french by g. w. plympton, professor of physical science at brooklyn polytechnic institute. mo, cloth *jeffers, capt. w. n., u. s. n.--nautical surveying.* illustrated with copperplates and wood-cut illustrations. vo, cloth *jomini, gen. baron de.--campaign of waterloo.* the political and military history of the campaign of waterloo. translated from the french by gen. s. v. benét. third edition. mo, cloth ---- *treatise on grand military operations.* illustrated by a critical and military history of the wars of frederick the great. with a summary of the most important principles of the art of war. illustrated by maps and plans. translated from the french by col. s. b. holabird, u. s. a. vols. vo and atlas. cloth half calf or morocco half russia *jones, h. chapman.--text-book of experimental organic chemistry for students.* mo, cloth *joynson, f. h.--the metals used in construction: iron, steel, bessemer metal, etc., etc.* illustrated. mo, cloth ---- *designing and construction of machine gearing.* illustrated. vo, cloth *kansas city bridge, the.* with an account of the regimen of the missouri river, and a description of the methods used for founding in that river. by o. chanute, chief-engineer, and george morrison, assistant-engineer. illustrated with five lithographic views and twelve plates of plans. to, cloth *kelton, gen. j. c.--new bayonet exercise.* a new manual of the bayonet, for the army and militia of the united states. with beautifully engraved plates. fifth edition. revised. mo, cloth *king, w. h.--lessons and practical notes on steam,* the steam-engine, propellers, etc., etc., for young marine engineers, students, and others. revised by chief-engineer j. w. king, u. s. navy. nineteenth edition, enlarged. vo, cloth *kirkwood, jas. p.--report on the filtration of river waters for the supply of cities,* as practised in europe, made to the board of water commissioners of the city of st. louis. illustrated by double-plate engravings. to, cloth *larrabee, c. s.--cipher and secret letter and telegraphic code, with hogg's improvements.* the most perfect secret code ever invented or discovered. impossible to read without the key. mo, cloth *lazelle, capt. h. m., u. s. a.--one law in nature.* a new corpuscular theory, comprehending unity of force, identity of matter and its multiple atom constitution; applied to the physical affections, or modes of energy. mo. *lecomte, ferdinand.--the war in the united states.* a report to the swiss military department. translated from the french by a staff officer. mo, cloth *le gal, col. eugene.--school of the guides.* designed for the use of the militia of the united states. mo, cloth *lendy, capt.--maxims and instructions on the art of war.* a practical military guide for the use of soldiers of all arms and of all countries. translated from the french. mo, cloth *levy, com. u. p.--manual of internal rules and regulations for men-of-war.* third edition, revised and enlarged. mo, flexible cloth *lieber, francis, ll.d.--instructions for armies.* instructions for the government of armies of the united states in the field. mo, paper *lippitt.--special operations of war.* mo, cloth ---- *field service in war.* mo, cloth ---- *tactical use of the three arms.* mo, cloth ---- *intrenchments.* mo, cloth *lock, c. g., wigner, g. w., and harland, r. h.--sugar growing and refining.* treatise on the culture of sugar-yielding plants, and the manufacture and refining of cane, beet, and other sugars. vo, cloth, illustrated *lockwood, thos. d.--electricity, magnetism, and electro-telegraphy.* a practical guide for students, operators, and inspectors. vo, cloth *loring, a. e.--a hand-book on the electro-magnetic telegraph.* paper boards cloth morocco *luce, capt. s. b.--seamanship.* for the use of the united states naval academy. fourth edition. crown vo, revised and improved, illustrated by full-page copperplate engravings, half roan --> text-book at the u. s. naval academy, annapolis. ---- *naval light artillery.* by lieut. w. h. parker, u. s. n. third edition, revised by capt. s. b. luce, assistant instructor of gunnery and tactics at the u. s. naval academy. plates. vo, cloth *maccord, prof. c. w.--a practical treatise on the slide-valve by eccentrics,* examining by methods the action of the eccentric upon the slide-valve, and explaining the practical processes of laying out the movements, adapting the valve for its various duties in the steam-engine. second edition. illustrated. to, cloth *mcclellan, gen. geo. b.--report of the army of the potomac,* of its operations while under his command. with maps and plans. vo, cloth paper *mcculloch, prof. r. s.--elementary treatise on the mechanical theory of heat, and its application to air and steam engines.* vo, cloth *manual of boat exercise.* at the u. s. naval academy, designed for the practical instruction of the senior class in naval tactics. mo, flexible cloth *mendell, g. h.--military surveying.* a treatise on military surveying, theoretical and practical, including a description of surveying instruments. with wood-cut illustrations. mo, cloth *merrill, col. wm. e., u. s. a.--iron truss bridges for railroads.* the method of calculating strains in trusses, with a careful comparison of the most prominent trusses, in reference to economy in combination, etc., etc. illustrated. to, cloth *michaelis, capt. o. e.--the le boulenge chronograph.* with three lithographed folding plates of illustrations. to, illustrated, cloth *michie, prof. p. s.--elements of wave motion relating to sound and light.* text-book for the u. s. military academy. vo, cloth, illustrated *minifie, wm--mechanical drawing.* a text-book of geometrical drawing for the use of mechanics and schools, in which the definitions and rules of geometry are familiarly explained; the practical problems are arranged, from the most simple to the more complex, and in their description technicalities are avoided as much as possible. with illustrations for drawing plans, sections, and elevations of railways and machinery; an introduction to isometrical drawing, and an essay on linear perspective and shadows. illustrated with over diagrams engraved on steel. ninth edition. with an appendix on the theory and application of colors. vo, cloth "it is the best work on drawing that we have ever seen, and is especially a text-book of geometrical drawing for the use of mechanics and schools. no young mechanic, such as a machinist, engineer, cabinet-maker, millwright, or carpenter, should be without it."--_scientific american._ ---- *geometrical drawing.* abridged from the octavo edition, for the use of schools. illustrated with steel plates. fifth edition. mo, cloth *modern meteorology.* a series of six lectures, delivered under the auspices of the meteorological society in . illustrated. mo, cloth *monroe, col. j.--light infantry company and skirmish drill.* bayonet fencing; with a supplement on the handling and service of light infantry. mo, cloth *moore, frank--the rebellion record.* containing a full and concise diary of events from december, , to the close of the war of the rebellion, with official reports of state officers and narratives of all the battles and skirmishes that occurred. complete in twelve volumes royal vo. illustrated with steel engraved portraits of distinguished generals and prominent men, together with numerous maps and plans of battles. price in cloth library sheep half calf, antique half morocco half russia ---- *portrait gallery of the war, civil, military, and naval.* a biographical record. illustrated with fine portraits on steel. vol. vo, cloth half calf *morris, e.--easy rules for the measurement of earthworks, by means of the prismoidal formula.* illustrations. vo, cloth *morris, gen. wm. h.--field tactics for infantry.* illustrated. mo, cloth ---- *infantry tactics.* vols. mo. vols. in one, cloth transcriber's notes: the following corrections which did not concern obvious printer's errors have been made to the text. -in the table of content, the formatting of the entry for "dialysis" was changed in order to indicate that this part is a section of the chapter "methods of destruction of the organic substances" -"treated with "_mélaïnocome_"" was: "treated with "melaniocome"" -the sentence "m. salleron offers for sale a small apparatus (fig. )" wrongly referred to fig. . -"if the crystals originate from fresh blood, they appear as represented in fig. ; crystals from old blood are represented in fig. ." wrongly referred to fig. and ; the same was the case in "the fluid is examined from time to time under the microscope: when it is sufficiently concentrated, crystals, presenting the appearance represented in figs. or , will be observed." -"an oxidizing body" was: "an oxydizing body" -"condenser" was: "condensor" -"areometer (alcoholmeter)" was: "areometer (alcoolmeter)" available by internet archive (https://archive.org) note: project gutenberg also has an html version of this file which includes the original illustrations. see -h.htm or -h.zip: (http://www.gutenberg.org/files/ / -h/ -h.htm) or (http://www.gutenberg.org/files/ / -h.zip) images of the original pages are available through internet archive. see https://archive.org/details/cu transcriber's note: text enclosed by underscores is in italics (_italics_). a carat character is used to denote superscription. a single character following the carat is superscripted (example: · _t_^ ). multiple superscripted characters are enclosed by curly brackets (example: v_{_ _}( -k_t_)^{- }). the ligature oe has been transcribed as [oe]. the dagger sign has been transcribed as [+]. the infinity sign has been transcribed as [oo]. the principles of chemistry by d. mendelÉeff translated from the russian (sixth edition) by george kamensky, a.r.s.m. of the imperial mint, st petersburg: member of the russian physico-chemical society edited by t. a. lawson, b.sc. ph.d. examiner in coal-tar products to the city and guilds of london institute fellow of the institute of chemistry in two volumes volume i. longmans, green, and co paternoster row, london new york and bombay all rights reserved preface to the english translation the first english edition of this work was published in , and that a second edition is now called for is, we think, a sufficient proof that the enthusiasm of the author for his science, and the philosophical method of his teaching, have been duly appreciated by english chemists. in the scientific work to which professor mendeléeff's life has been devoted, his continual endeavour has been to bring the scattered facts of chemistry within the domain of law, and accordingly in his teaching he endeavours to impress upon the student the _principles_ of the science, the generalisations, so far as they have been discovered, under which the facts naturally group themselves. of those generalisations the periodic law is perhaps the most important that has been put forward since the establishment of the atomic theory. it is therefore interesting to note that professor mendeléeff was led to its discovery in preparing the first russian edition of this book. it is natural, too, that the further application and development of that generalisation should be the principal feature of this, the latest edition. there are special difficulties in rendering the russian language into good english, and we are conscious that these have not been entirely overcome. doubtless also there are errors of statement which have escaped correction, but we believe that the present edition will be found better in both respects than its predecessor. we have thought it our duty as translators to give as far as possible a faithful reproduction of professor mendeléeff's work--the sixth russian edition--without amplifying or modifying his statements, and in this we have the author's approval. although other duties have prevented mr. greenaway from undertaking the care of the present edition, he has been kind enough to give us the benefit of his suggestions on several points. we also wish to thank the managers of the royal institution for permission to reprint the lecture delivered at the royal institution by professor mendeléeff (appendix i.), and to the council of the chemical society for permission to reprint the faraday lecture which forms appendix ii. in conclusion, we are indebted to mr. f. evershed, who has given us much valuable assistance in revising the sheets for the press. g. k. t. a. l. _august _ author's preface to the sixth russian edition this work was written during the years - , its object being to acquaint the student not only with the methods of observation, the experimental facts, and the laws of chemistry, but also with the insight given by this science into the unchangeable substratum underlying the varying forms of matter. if statements of fact themselves depend upon the person who observes them, how much more distinct is the reflection of the personality of him who gives an account of methods and of philosophical speculations which form the essence of science! for this reason there will inevitably be much that is subjective in every objective exposition of science. and as an individual production is only significant in virtue of that which has preceded and that which is contemporary with it, it resembles a mirror which in reflecting exaggerates the size and clearness of neighbouring objects, and causes a person near it to see reflected most plainly those objects which are on the side to which it is directed. although i have endeavoured to make my book a true mirror directed towards the whole domain of chemical changes, yet involuntarily those influences near to me have been the most clearly reflected, the most brightly illuminated, and have tinted the entire work with their colouring. in this way the chief peculiarity of the book has been determined. experimental and practical data occupy their place, but the philosophical principles of our science form the chief theme of the work. in former times sciences, like bridges, could only be built up by supporting them on a few broad buttresses and long girders. in addition to the exposition of the principles of chemistry, it has been my desire to show how science has now been built up like a suspension bridge, supported by the united strength of a number of slender, but firmly-fixed, chains, which individually are of little strength, and has thus been carried over difficulties which before appeared insuperable. in comparing the science of the past, the present, and the future, in placing the particulars of its restricted experiments side by side with its aspirations after unbounded and infinite truth, and in restraining myself from yielding to a bias towards the most attractive path, i have endeavoured to incite in the reader a spirit of inquiry, which, dissatisfied with speculative reasonings alone, should subject every idea to experiment, encourage the habit of stubborn work, and excite a search for fresh chains of evidence to complete the bridge over the bottomless unknown. history proves that it is possible by this means to avoid two equally pernicious extremes, the utopian--a visionary contemplation which proceeds from a current of thought only--and the stagnant realism which is content with bare facts. sciences like chemistry, which deal with ideas as well as with material substances, and create a possibility of immediately verifying that which has been or may be discovered or assumed, demonstrate at every step that the work of the past has availed much, and that without it it would be impossible to advance into the ocean of the unknown. they also show the possibility of becoming acquainted with fresh portions of this unknown, and compel us, while duly respecting the teachings of history, to cast aside classical illusions, and to engage in a work which not only gives mental satisfaction but is also practically useful to all our fellow-creatures.[ ] [ ] chemistry, like every other science, is at once a means and an end. it is a means of attaining certain practical results. thus, by its assistance, the obtaining of matter in its various forms is facilitated; it shows new possibilities of availing ourselves of the forces of nature, indicates the methods of preparing many substances, points out their properties, &c. in this sense chemistry is closely connected with the work of the manufacturer and the artisan, its sphere is active, and is a means of promoting general welfare. besides this honourable vocation, chemistry has another. with it, as with every other elaborated science, there are many lofty aspirations, the contemplation of which serves to inspire its workers and adherents. this contemplation comprises not only the principal data of the science, but also the generally-accepted deductions, and also hypotheses which refer to phenomena as yet but imperfectly known. in this latter sense scientific contemplation varies much with times and persons, it bears the stamp of creative power, and embraces the highest forms of scientific progress. in that pure enjoyment experienced on approaching to the ideal, in that eagerness to draw aside the veil from the hidden truth, and even in that discord which exists between the various workers, we ought to see the surest pledges of further scientific progress. science thus advances, discovering new truths, and at the same time obtaining practical results. the edifice of science not only requires material, but also a plan, and necessitates the work of preparing the materials, putting them together, working out the plans and the symmetrical proportions of the various parts. to conceive, understand, and grasp the whole symmetry of the scientific edifice, including its unfinished portions, is equivalent to tasting that enjoyment only conveyed by the highest forms of beauty and truth. without the material, the plan alone is but a castle in the air--a mere possibility; whilst the material without a plan is but useless matter. all depends on the concordance of the materials with the plan and execution, and the general harmony thereby attained. in the work of science, the artisan, architect, and creator are very often one and the same individual; but sometimes, as in other walks of life, there is a difference between them; sometimes the plan is preconceived, sometimes it follows the preparation and accumulation of the raw material. free access to the edifice of science is not only allowed to those who devised the plan, worked out the detailed drawings, prepared the materials, or piled up the brickwork, but also to all those who are desirous of making a close acquaintance with the plan, and wish to avoid dwelling in the vaults or in the garrets where the useless lumber is stored. knowing how contented, free, and joyful is life in the realm of science, one fervently wishes that many would enter its portals. on this account many pages of this treatise are unwittingly stamped with the earnest desire that the habits of chemical contemplation which i have endeavoured to instil into the minds of my readers will incite them to the further study of science. science will then flourish in them and by them, on a fuller acquaintance not only with that little which is enclosed within the narrow limits of my work, but with the further learning which they must imbibe in order to make themselves masters of our science and partakers in its further advancement. those who enlist in the cause of science have no reason to fear when they remember the urgent need for practical workers in the spheres of agriculture, arts, and manufacture. by summoning adherents to the work of theoretical chemistry, i am confident that i call them to a most useful labour, to the habit of dealing correctly with nature and its laws, and to the possibility of becoming truly practical men. in order to become actual chemists, it is necessary for beginners to be well and closely acquainted with three important branches of chemistry--analytical, organic, and theoretical. that part of chemistry which is dealt with in this treatise is only the groundwork of the edifice. for the learning and development of chemistry in its truest and fullest sense, beginners ought, in the first place, to turn their attention to the practical work of analytical chemistry; in the second place, to practical and theoretical acquaintance with some special chemical question, studying the original treatises of the investigators of the subject (at first, under the direction of experienced teachers), because in working out particular facts the faculty of judgment and of correct criticism becomes sharpened; in the third place, to a knowledge of current scientific questions through the special chemical journals and papers, and by intercourse with other chemists. the time has come to turn aside from visionary contemplation, from platonic aspirations, and from classical verbosity, and to enter the regions of actual labour for the common weal, to prove that the study of science is not only air excellent education for youth, but that it instils the virtues of industry and veracity, and creates solid national wealth, material and mental, which without it would be unattainable. science, which deals with the infinite, is itself without bounds. thus the desire to direct those thirsting for truth to the pure source of the science of the forces acting throughout nature forms the first and most important aim of this book. the time has arrived when a knowledge of physics and chemistry forms as important a part of education as that of the classics did two centuries ago. in those days the nations which excelled in classical learning stood foremost, just as now the most advanced are those which are superior in the knowledge of the natural sciences, for they form the strength and characteristic of our times. in following the above and chief aim, i set myself a second object: to furnish a text-book for an elementary knowledge of chemistry and so satisfy a want which undoubtedly exists among students and those who have recourse to chemistry either as a source of truth or welfare.[ ] hence, although the fundamental object of this work was to express and embrace the general chemical teaching of the present day from a personal point of view, i have nevertheless striven throughout to maintain such a level as would render the 'principles of chemistry' accessible to the beginner. many aspects of this work are determined by this combination of requirements which frequently differ widely. an issue was only possible under one condition, _i.e._ not to be carried away by what appears to be a plausible theory in explaining individual facts and to always endeavour to transmit the simple truth of a given fact, extracting it from the vast store of the literature of the subject and from tried personal experience. in publishing a new edition of this work i have striven to add any facts of importance recently discovered[ ] and to revise the former edition in the above spirit. with this object i have entirely gone over this edition, and a comparison of it with the former one will show that the additions and alterations have cost as much labour as many chapters of the work. i also wished to show in an elementary treatise on chemistry the striking advantages gained by the application of the periodic law, which i first saw in its entirety in the year when i was engaged in writing the first edition of this book, in which, indeed, the law was first enunciated. at that time, however, this law was not established so firmly as now, when so many of its consequences have been verified by the researches of numerous chemists, and especially by roscoe, lecoq de boisbaudran, nilson, brauner, thorpe, carnelley, laurie, winkler, and others. the, to me, unexpectedly rapid success with which the teaching of the periodicity of the elements has spread in our science, and perhaps also, the perseverance with which i collected in this work, and upon a new plan, the most important data respecting the elements and their mutual relations, explained sufficiently the fact that the former ( th, ) edition of my work has been translated into english[ ] and german[ ] and is being translated into french.[ ] deeply touched by the favourable opinions expressed by english men of science upon my book, i ascribe them chiefly to the periodic law placed at the basis of my treatise and especially of the second part of the book, which contains a large amount of data having a special and sometimes quite unexpected, bearing from the point of view of this law. as the entire scheme of this work is subordinated to the law of periodicity, which may be illustrated in a tabular form by placing the elements in series, groups, and periods, two such tables are given at the end of this preface. [ ] i recommend those who are commencing the study of chemistry with my book _to first read only what is printed in the large type_, because in that part i have endeavoured to concentrate all the fundamental, indispensable knowledge required for that study. in the footnotes, printed in small type (which should be read only after the large text has been mastered), certain details are discussed; they are either further examples, or debatable questions on existing ideas which i thought useful to lay before those entering into the sphere of science, or certain historical and technical details which might be withdrawn from the fundamental portion of the book. without intending to attain in my treatise to the completeness of a work of reference, i have still endeavoured to express the principal developments of science as they concern the chemical elements viewed in that aspect in which they appeared to me after long continued study of the subject and participation in the contemporary advance of knowledge. i have also placed my personal views, suppositions, and arguments in the footnotes, which are chiefly designed for details and references. but i have endeavoured to avoid here, as in the text, not only all that i consider doubtful, but also those details which belong either to special branches of chemistry (for instance, to analytical, organic, physical, theoretical, physiological, agricultural, or technical chemistry), or to different branches of natural science which are more and more coming into closer and closer contact with chemistry. chemistry, i am convinced, must occupy a place among the natural sciences side by side with mechanics; for mechanics treats of matter as a system of ponderable points having scarcely any individuality and only standing in a certain state of mobile equilibrium. for chemistry, matter is an entire world of life, with an infinite variety of individuality both in the elements and in their combinations. in studying the general uniformity from a mechanical point of view, i think that the highest point of knowledge of nature cannot be attained without taking into account the individuality of things in which chemistry is set to seek for general higher laws. mechanics may be likened to the science of statesmanship, chemistry to the sciences of jurisprudence and sociology. the general universe could not be built up without the particular individual universe, and would be a dry abstract were it not enlivened by the real variety of the individual world. mechanics forms the classical basis of natural philosophy, while chemistry, as a comparatively new and still young science, already strives to--and will, in the future introduce a new, living aspect into the philosophy of nature; all the more as chemistry alone is never at rest or anywhere dead--its vital action has universal sway, and inevitably determines the general aspect of the universe. just as the microscope and telescope enlarge the scope of vision, and discover life in seeming immobility, so chemistry, in discovering and striving to discern the life of the invisible world of atoms and molecules and their ultimate limit of divisibility, will clearly introduce new and important problems into our conception of nature. and i think that its _rôle_, which is now considerable, will increase more and more in the future; that is, i think that in its further development it will occupy a place side by side with mechanics for the comprehension of the secrets of nature. but here we require some second newton; and i have no doubt that he will soon appear. [ ] i was much helped in gathering data from the various chemical journals of the last five years by the abstracts made for me by mr. y. v. kouriloff, to whom i tender my best thanks. [ ] the english translation was made by g. kamensky, and edited by a. j. greenaway; published by longmans, green & co. [ ] the german translation was made by l. jawein and a. thillot; published by ricker (st. petersburg). [ ] the french translation has been commenced by e. achkinasi and h. carrion from the fifth edition, and is published by tignol (paris). in this the sixth edition i have not altered any essential feature of the original work, and have retained those alterations which were introduced into the fifth edition.[ ] i have, however, added many newly discovered facts, and in this respect it is necessary to say a few words. although all aspects of the simplest chemical relations are as far as possible equally developed in this book, yet on looking back i see that i have, nevertheless, given most attention to the so-called indefinite compounds examples of which may be seen in solutions. i recur repeatedly to them, and to all the latest data respecting them, for in them i see a starting point for the future progress of our science and to them i affiliate numerous instances of definite compounds, beginning with alloys and silicates and ending with complex acids. there are two reasons for this. in the first place, this subject has deeply interested me from my youth; i have devoted a portion of my own researches to it, and therefore it occupied an important position even in the first edition of my book; besides which all that has been subsequently accomplished in our science, especially during the last five or six years, shows that at the present day an interest in these questions plays an important part in the minds of a large circle of contemporary workers in chemistry. this personal attachment, if i may so call it, to the question of solutions and such indefinite compounds, must involuntarily have impressed itself upon my work, and in the later editions i have even had to strive not to give this subject a greater development than previously, so great was the material accumulated, which however does not yet give us the right to consider even the most elementary questions respecting solutions as solved. thus, we cannot yet say what a solution really is. my own view is that a solution is a homogeneous liquid system of unstable dissociating compounds of the solvent with the substance dissolved. but although such a theory explains much to me, i cannot consider my opinion as proved, and therefore give it with some reserve as one of several hypotheses.[ ] as a subject yet far from solved, i might naturally have ignored it, or only mentioned it cursorily, but such a treatment of solutions, although usual in elementary treatises on chemistry, would not have answered my views upon the subject of our science, and i wished that the reader might find in my book beyond everything an expression of all that a study of the subject built up for me. if in solutions i see and can frequently prove distinct evidences of the existence of those definite compounds which form the more generalised province of chemical data, i could not refrain from going into certain details respecting solutions; otherwise, there would have remained no trace of that general idea, that in them we have only a certain instance of ordinary definite or atomic compounds, subject to dalton's laws. having long had this idea, i wished to impress it upon the reader of my book, and it is this desire which forms the second of those chief reasons why i recur so frequently to solutions in this work. at present, my ideas respecting solutions are shared by few, but i trust that by degrees the instances i give will pave the way for their general recognition, and it is my hope that they may find adherents among those of my readers who are in a position to work out by experiment this difficult but highly interesting problem. [ ] the fifth edition was not only considerably enlarged, compared with the preceding, but also the foundations of the periodic system of the elements were placed far more firmly in it than in the former editions. the subject-matter was also divided into text and footnotes, which contained details unnecessary for a first acquaintance with chemistry. the fifth edition sold out sooner than i expected, so that instead of issuing supplements (containing the latest discoveries in chemistry), as i had proposed, i was obliged to publish the present entirely new edition of the work. [ ] this hypothesis is not only mentioned in different parts of this book, but is partly (from the aspect of the specific gravity of solutions) developed in my work, _the investigation of solutions from their specific gravity_, . in conclusion, i desire to record my thanks to v. d. sapogenikoff, who has corrected the proofs of the whole of this edition and compiled the indexes which greatly facilitate the search for those details which are scattered throughout the work. d. mendelÉeff. table i _distribution of the elements in groups and series_ +--------+-------+----------+----------+----------+----------+ | group | i. | ii. | iii. | iv. | v. | +--------+-------+----------+----------+----------+----------+ |series | h | -- | -- | -- | -- | | | | | | | | | " | li | be | b | c | n | | | | | | | | | " | na | mg | al | si | p | | | | | | | | | " | k | ca | sc | ti | v | | | | | | | | | " | (cu)| zn | ga | ge | as | | | | | | | | | " | rb | sr | y | zr | nb | | | | | | | | | " | (ag)| cd | in | sn | sb | | | | | | | | | " | cs | ba | la | ce | di? | | | | | | | | | " | -- | -- | -- | -- | -- | | | | | | | | | " | -- | -- | yb | -- | ta | | | | | | | | | " | (au)| hg | tl | pb | bi | | | | | | | | | " | -- | -- | -- | th | -- | | | | | | | | +--------+-------+----------+----------+----------+----------+ | |r_{ }o |r_{ }o_{ }|r_{ }o_{ }|r_{ }o_{ }|r_{ }o_{ }| | | | | | | | | | -- |ro | -- |ro_{ } | -- | | | | | | | | | | -- | -- | -- |rh_{ } |rh_{ } | | | | | | | | +--------+-------+----------+----------+----------+----------+ +---------+----------+----------+--------------------+ | group | vi. | vii. | viii. | +---------+----------+----------+--------------------+ | series | -- | -- | | | | | | | | " | o | f | | | | | | | | " | s | cl | | | | | | | | " | cr | mn | fe co ni cu | | | | | | | " | se | br | | | | | | | | " | mo | -- | ru rh pd ag | | | | | | | " | te | i | | | | | | | | " | -- | -- | -- -- -- -- | | | | | | | " | -- | -- | | | | | | | | " | w | -- | os ir pt au | | | | | | | " | -- | -- | | | | | | | | " | u | -- | | | | | | | +---------+----------+----------+--------------------+ | |r_{ }o_{ }|r_{ }o_{ }| higher oxides | | | | | | | |ro_{ } | -- | ro_{ } | | | | | | | |rh_{ } | rh | hydrogen compounds | +---------+----------+----------+--------------------+ table ii _periodic system and atomic weights of the elements_ (_giving the pages on which they are described_) +---------------------+--------------+--------------+--------------+ | | nd series, | | | | | typical | th | th | | | elements | series | series | +-------+-------------+--------------+--------------+--------------+ | i. | | li | k | rb | | | | | ==== | | | | | vol. i. | vol. i. | vol. i. | | | | | | | | ii. | | be | ca | sr | | | | | ----- | | | | | vol. i. | vol. i. | vol. i. | | | | | | | | iii. | | b | sc | y | | | | ---- | | | | | | vol. ii. | vol. ii. | vol. ii. | | | | | | | | iv. | | c | ti | zr | | | | ==== | | | | | | vol. i. | vol. ii. | vol. ii. | | | | | | | | v. | | n | v | nb | | | | ==== | | | | | | vol. i. | vol. ii. | vol. ii. | | | | | | | | vi. | | o | cr | mo | | | | ---- | ----- | | | | | vol. i. | vol. ii. | vol. ii. | | | | | | | | vii. | | f | mn | ? | | | | | ===== | | | | | vol. i. | vol. ii. | | | | | | | | | | | | fe | ru | | | | | ===== | | | | | | vol. ii. | vol. ii. | | | | | | | | viii. | | | co | rh | | | | | vol. ii. | vol. ii. | | | | | | | | | | | ni · | pd | | | | | vol. ii. | vol. ii. | | | | | | | | | | rd series | th series | th series | | | | | | | | i. | h | na | cu | ag | | | ---- | | | | | | vol. i. | vol. i. | vol. ii. | vol. ii. | | | | | | | | ii. | | mg | zn | cd | | | | vol. i. | vol. ii. | vol. ii. | | | | | | | | iii. | | al | ga | in | | | | vol. ii. | vol. ii. | vol. ii. | | | | | | | | iv. | | si | ge | sn | | | | vol. ii. | vol. ii. | vol. ii. | | | | | | | | v. | | p | as | sb | | | | | ----- | | | | | vol. ii. | vol. ii. | vol. ii. | | | | | | | | vi. | | s | se | te | | | | vol. ii. | vol. ii. | vol. ii. | | | | | | | | vii. | | cl · | br | i | | | | | ----- | | | | | vol. i. | vol. i. | vol. i. | +-------+-------------+--------------+--------------+--------------+ +-------+-------------+--------------+--------------+ | | | | | | | th | th | th | | | series | series | series | +---- --+-------------+--------------+--------------+ | i. | cs | -- | -- | | | vol. i. | | | | | | | | | ii. | ba | -- | -- | | | ------ | | | | | vol. i. | | | | | | | | | iii. | la | yb | -- | | | vol. ii. | vol. ii. | | | | | | | | iv. | ce | ? | th | | | vol. ii. | | vol. ii. | | | | | | | v. | ? di | ta | -- | | | vol. ii. | vol. ii. | | | | | | | | vi. | -- | w | u | | | | vol. ii. | vol. ii. | | | | | | | vii. | -- | -- | -- | | | | | | | | -- | os | | | | | vol. ii. | | | | | | | | viii. | -- | ir | | | | | vol. ii. | | | | | | | | | -- | pt | | | | | ------ | | | | | vol. ii. | | | | | | | | | th | th | | | | series | series | | | | | | | | i. | -- | au | | | | | vol. ii. | | | | | | | | ii. | -- | hg | | | | | vol. ii. | | | | | | | | iii. | -- | tl | | | | | vol. ii. | | | | | | | | iv. | -- | pb | | | | | vol. ii. | | | | | | | | v. | -- | bi | | | | | vol. ii. | | | | | | | | vi. | -- | -- | | | | | | | | vii. | -- | -- | | +-------+-------------+--------------+--------------+ _note._--two lines under the elements indicate those which are very widely distributed in nature; one line indicates those which, although not so frequently met with, are of general use in the arts and manufactures. contents of the first volume page translators' preface v author's preface to the sixth russian edition vii table of the distribution of the elements in groups and series xv table of the periodic system and atomic weights of the elements xvi introduction chap. i. on water and its compounds ii. the composition of water. hydrogen iii. oxygen and the chief aspects of its saline combinations iv. ozone and hydrogen peroxide. dalton's law v. nitrogen and air vi. the compounds of nitrogen with hydrogen and oxygen vii. molecules and atoms. the laws of gay-lussac and avogadro-gerhardt viii. carbon and the hydrocarbons ix. compounds of carbon with oxygen and nitrogen x. sodium chloride. berthollet's laws. hydrochloric acid xi. the halogens: chlorine, bromine, iodine and fluorine xii. sodium xiii. potassium, rubidium, cÆsium and lithium. spectrum analysis xiv. the valency and specific heat of the metals. magnesium, calcium, strontium, barium, and beryllium principles of chemistry introduction the study of natural science, whose rapid development dates from the days of galileo ([+] ) and newton ([+] ), and its closer application to the external universe[ ] led to the separation of chemistry as a particular branch of natural philosophy, not only owing to the increasing store of observations and experiments relating to the mutual transformations of substances, but also, and more especially, because in addition to gravity, cohesion, heat, light and electricity it became necessary to recognise the existence of particular internal forces in the ultimate parts of all substances, forces which make themselves manifest in the transformations of substances into one another, but remain hidden (latent) under ordinary circumstances, and whose existence cannot therefore be directly apprehended, and so for a long time remained unrecognised. the primary object of chemistry is the study of the homogeneous substances[ ] of which all the objects of the universe are made up, with the transformations of these substances into each other, and with the phenomena[ ] which accompany such transformations. every chemical change or reaction,[ ] as it is called, can only take place under a condition of most intimate and close contact of the re-acting substances,[ ] and is determined by the forces proper to the smallest invisible particles (molecules) of matter. we must distinguish three chief classes of chemical transformations. [ ] the investigation of a substance or a natural phenomenon consists (_a_) in determining the relation of the object under examination to that which is already known, either from previous researches, or from experiment, or from the knowledge of the common surroundings of life--that is, in determining and expressing the quality of the unknown by the aid of that which is known; (_b_) in measuring all that which can be subjected to measurement, and thereby denoting the quantitative relation of that under investigation to that already known and its relation to the categories of time, space, temperature, mass, &c.; (_c_) in determining the position held by the object under investigation in the system of known objects guided by both qualitative and quantitative data; (_d_) in determining, from the quantities which have been measured, the empirical (visible) dependence (function, or 'law,' as it is sometimes termed) of variable factors--for instance, the dependence of the composition of the substance on its properties, of temperature on time, of time on locality, &c.; (_e_) in framing hypotheses or propositions as to the actual cause and true nature of the relation between that studied (measured or observed) and that which is known or the categories of time, space, &c.; (_f_) in verifying the logical consequences of the hypotheses by experiment; and (_g_) in advancing a theory which shall account for the nature of the properties of that studied in its relations with things already known and with those conditions or categories among which it exists. it is certain that it is only possible to carry out these investigations when we have taken as a basis some incontestable fact which is self-evident to our understanding; as, for instance, number, time, space, motion, or mass. the determination of such primary or fundamental conceptions, although not excluded from the possibility of investigation, frequently does not subject itself to our present mode of scientific generalisation. hence it follows that in the investigation of anything, there always remains something which is accepted without investigation, or admitted as a known factor. the axioms of geometry may be taken as an example. thus in the science of biology it is necessary to admit the faculty of organisms for multiplying themselves, as a conception whose meaning is as yet unknown. in the study of chemistry, too, the notion of elements must be accepted almost without any further analysis. however, by first investigating that which is visible and subject to direct observation by the organs of the senses, we may hope that in the first place hypotheses will be arrived at, and afterwards theories of that which has now to be placed at the basis of our investigations. the minds of the ancients strove to seize at once the very fundamental categories of investigation, whilst all the successes of recent knowledge are based on the above-cited method of investigation without the determination of 'the beginning of all beginnings.' by following this inductive method, the _exact sciences_ have already succeeded in becoming accurately acquainted with much of the invisible world, which directly is imperceptible to the organs of sense (for example, the molecular motion of all bodies, the composition of the heavenly luminaries, the paths of their motion, the necessity for the existence of substances which cannot be subjected to experiment, &c.), and have verified the knowledge thus obtained, and employed it for increasing the interests of humanity. it may therefore be safely said that _the inductive method of investigation_ is a more perfect mode of acquiring knowledge than the deductive method alone (starting from a little of the unknown accepted as incontestable to arrive at the much which is visible and observable) by which the ancients strove to embrace the universe. by investigating the universe by an inductive method (endeavouring from the much which is observable to arrive at a little which may be verified and is indubitable) the new science refuses to recognise dogma as truth, but through _reason_, by a slow and laborious method of investigation, strives for and attains to true deductions. [ ] a substance or material is that which occupies space and has weight; that is, which presents a mass attracted by the earth and by other masses of material, and of which the _objects_ of nature are composed, and by means of which the motions and _phenomena_ of nature are accomplished. it is easy to discover by examining and investigating, by various methods, the objects met with in nature and in the arts, that some of them are homogeneous, whilst others are composed of a mixture of several homogeneous substances. this is most clearly apparent in solid substances. the metals used in the arts (for example, gold, iron, copper) must be homogeneous, otherwise they are brittle and unfit for many purposes. homogeneous matter exhibits similar properties in all its parts. by breaking up a homogeneous substance we obtain parts which, although different in form, resemble each other in their properties. glass, pure sugar, marble, &c., are examples of homogeneous substances. examples of non-homogeneous substances are, however, much more frequent in nature and the arts. thus the majority of the rocks are not homogeneous. in porphyries bright pieces of a mineral called 'orthoclase' are often seen interspersed amongst the dark mass of the rock. in ordinary red granite it is easy to distinguish large pieces of orthoclase mixed with dark semi-transparent quartz and flexible laminæ of mica. similarly, plants and animals are non-homogeneous. thus, leaves are composed of a skin, fibre, pulp, sap, and a green colouring matter. as an example of those non-homogeneous substances which are produced artificially, gunpowder may be cited, which is prepared by mixing together known proportions of sulphur, nitre, and charcoal. many liquids, also, are not homogeneous, as may be observed by the aid of the microscope, when drops of blood are seen to consist of a colourless liquid in which red corpuscles, invisible to the naked eye owing to their small size, are floating about. it is these corpuscles which give blood its peculiar colour. milk is also a transparent liquid, in which microscopical drops of fat are floating, which rise to the top when milk is left at rest, forming cream. it is possible to extract from every non-homogeneous substance those homogeneous substances of which it is made up. thus orthoclase may he separated from porphyry by breaking it off. so also gold is extracted from auriferous sand by washing away the mixture of clay and sand. chemistry deals only with the homogeneous substances met with in nature, or extracted from natural or artificial non-homogeneous substances. the various mixtures found in nature form the subjects of other natural sciences--as geognosy, botany, zoology, anatomy, &c. [ ] all those events which are accomplished by substances in time are termed 'phenomena.' phenomena in themselves form the fundamental subject of the study of physics. motion is the primary and most generally understood form of phenomenon, and therefore we endeavour to reason about other phenomena as clearly as when dealing with motion. for this reason mechanics, which treats of motion, forms the fundamental science of natural philosophy, and all other sciences endeavour to reduce the phenomena with which they are concerned to mechanical principles. astronomy was the first to take to this path of reasoning, and succeeded in many cases in reducing astronomical to purely mechanical phenomena. chemistry and physics, physiology and biology are proceeding in the same direction. one of the most important questions of all natural science, and one which has been handed down from the philosophers of classic times, is, whether the comprehension of all that is visible can be reduced to motion? its participation in all, from the 'fixed' stars to the most minute parts of the coldest bodies (dewar, in showed that many substances cooled to - ° fluoresce more strongly than at the ordinary temperature; _i.e._ that there is a motion in them which produces light) must now be recognised as undoubtable from direct experiment and observation, but it does not follow from this that by motion alone can all be explained. this follows, however, from the fact that we cannot apprehend motion otherwise than by recognising matter in a state of motion. if light and electricity be understood as particular forms of motion, then we must inevitably recognise the existence of a peculiar luminiferous (universal) ether as a material, transmitting this form of motion. and so, under the present state of knowledge, it is inevitably necessary to recognise the particular categories, motion and matter, and as chemistry is more closely concerned with the various forms of the latter, it should, together with mechanics or the study of motion, lie at the basis of natural science. [ ] the verb 'to react' means to act or change chemically. [ ] if a phenomenon proceeds at visible or measurable distances (as, for instance, magnetic attraction or gravity), it cannot be described as chemical, since these phenomena only take place at distances immeasurably small and undistinguishable to the eye or the microscope; that is to say, they are purely molecular. . _combination_ is a reaction in which the union of two substances yields a new one, or in general terms, from a given number of substances, a lesser number is obtained. thus, by heating a mixture of iron and sulphur[ ] a single new substance is produced, iron sulphide, in which the constituent substances cannot be distinguished even by the highest magnifying power. before the reaction, the iron could be separated from the mixture by a magnet, and the sulphur by dissolving it in certain oily liquids;[ ] in general, before combination they might be mechanically separated from each other, but after combination both substances penetrate into each other, and are then neither mechanically separable nor individually distinguishable. as a rule, reactions of direct combination are accompanied by an evolution of heat, and the common case of combustion, evolving heat, consists in the combination of combustible substances with a portion (oxygen) of the atmosphere, the gases and vapours contained in the smoke being the products of combination. . reactions of _decomposition_ are cases the reverse of those of combination, that is, in which one substance gives two--or, in general, a given number of substances a greater number. thus, by heating wood (and also coal and many animal or vegetable substances) without access to air, a combustible gas, a watery liquid, tar, and carbon are obtained. it is in this way that tar, illuminating gas, and charcoal are prepared on a large scale.[ ] all limestones, for example, flagstones, chalk, or marble, are decomposed by heating to redness into lime and a peculiar gas called carbonic anhydride. a similar decomposition, taking place, however, at a much lower temperature, proceeds with the green copper carbonate which is contained in natural malachite. this example will be studied more in detail presently. whilst heat is evolved in the ordinary reactions of combination, it is, on the contrary, absorbed in the reactions of decomposition. . the third class of chemical reactions--where the number of re-acting substances is equal to the number of substances formed--may be considered as a simultaneous decomposition and combination. if, for instance, two compounds a and b are taken and they react on each other to form the substances c and d, then supposing that a is decomposed into d and e, and that e combines with b to form c, we have a reaction in which two substances a, or d e, and b were taken and two others c, or e b, and d were produced. such reactions ought to be placed under the general term of reactions of '_rearrangement_,' and the particular case where two substances give two fresh ones, reactions of '_substitution_.'[ ] thus, if a piece of iron be immersed in a solution of blue vitriol (copper sulphate), copper is formed--or, rather, separated out, and green vitriol (iron sulphate, which only differs from the blue vitriol in that the iron has replaced the copper) is obtained in solution. in this manner iron may be coated with copper, so also copper with silver; such reactions are frequently made use of in practice. [ ] for this purpose a piece of iron may be made red hot in a forge, and then placed in contact with a lump of sulphur, when iron sulphide will be obtained as a molten liquid, the combination being accompanied by a visible increase in the glow of the iron. or else iron filings are mixed with powdered sulphur in the proportion of parts of iron to parts of sulphur, and the mixture placed in a glass tube, which is then heated in one place. combination does not commence without the aid of external heat, but when once started in any portion of the mixture it extends throughout the entire mass, because the portion first heated evolves sufficient heat in forming iron sulphide to raise the adjacent parts of the mixture to the temperature required for starting the reaction. the rise in temperature thus produced is so high as to soften the glass tube. [ ] sulphur is slightly soluble in many thin oils; it is very soluble in carbon bisulphide and in some other liquids. iron is insoluble in carbon bisulphide, and the sulphur therefore can be dissolved away from the iron. [ ] decomposition of this kind is termed 'dry distillation,' because, as in distillation, the substance is heated and vapours are given off which, on cooling, condense into liquids. in general, decomposition, in absorbing heat, presents much in common to a physical change of state--such as, for example, that of a liquid into a gas. deville likened complete decomposition to boiling, and compared partial decomposition, when a portion of a substance is not decomposed in the presence of its products of decomposition (or dissociation), to evaporation. [ ] a reaction of rearrangement may in certain cases take place with one substance only; that is to say, a substance may by itself change into a new isomeric form. thus, for example, if hard yellow sulphur be heated to a temperature of ° and then poured into cold water it gives, on cooling, a soft, brown variety. ordinary phosphorus, which is transparent, poisonous, and phosphorescent in the dark (in the air), gives, after being heated at ° (in an atmosphere incapable of supporting combustion, such as steam), an opaque, red, and non-poisonous isomeric variety, which is not phosphorescent. cases of isomerism point out the possibility of an internal rearrangement in a substance, and are the result of an alteration in the grouping of the same elements, just as a certain number of balls may be grouped in figures and forms of different shapes. the majority of the chemical changes which occur in nature and are made use of technically are very complicated, as they consist of an association of many separate and simultaneous combinations, decompositions, and replacements. it is chiefly due to this natural complexity of chemical phenomena that for so many centuries chemistry did not exist as an exact science; that is so say, that although many chemical changes were known and made use of,[ ] yet their real nature was unknown, nor could they be predicted or directed at will. another reason for the tardy progress of chemical knowledge is the participation of gaseous substances, especially air, in many reactions. the true comprehension of air as a ponderable substance, and of gases in general as peculiar elastic and dispersive states of matter, was only arrived at in the sixteenth and seventeenth centuries, and it was only after this that the transformations of substances could form a science. up to that time, without understanding the invisible and yet ponderable gaseous and vaporous states of substances, it was impossible to obtain any fundamental chemical evidence, because gases escaped from notice between the reacting and resultant substances. it is easy from the impression conveyed to us by the phenomena we observe to form the opinion that matter is created and destroyed: a whole mass of trees burn, and there only remains a little charcoal and ash, whilst from one small seed there grows little by little a majestic tree. in one case matter seems to be destroyed, and in the other to be created. this conclusion is arrived at because the formation or consumption of gases, being under the circumstances invisible to the eye, is not observed. when wood burns it undergoes a chemical change into gaseous products, which escape as smoke. a very simple experiment will prove this. by collecting the smoke it may be observed that it contains gases which differ entirely from air, being incapable of supporting combustion or respiration. these gases may be weighed, and it will then be seen that their weight exceeds that of the wood taken. this increase in weight arises from the fact that, in burning, the component parts of the wood combine with a portion of the air; in like manner iron increases in weight by rusting. in burning gunpowder its substance is not destroyed, but only converted into gases and smoke. so also in the growth of a tree; the seed does not increase in mass of itself and from itself, but grows because it absorbs gases from the atmosphere and sucks water and substances dissolved therein from the earth through its roots. the sap and solid substances which give plants their form are produced from these absorbed gases and liquids by complicated chemical processes. the gases and liquids are converted into solid substances by the plants themselves. plants not only do not increase in size, but die, in a gas which does not contain the constituents of air. when moist substances dry they decrease in weight; when water evaporates we know that it does not disappear, but will return from the atmosphere as rain, dew, and snow. when water is absorbed by the earth, it does not disappear there for ever, but accumulates somewhere underground, from whence it afterwards flows forth as a spring. thus matter does not disappear and is not created, but only undergoes various physical and chemical transformations--that is to say, changes its locality and form. matter remains on the earth in the same quantity as before; in a word it is, so far as we are concerned, everlasting. it was difficult to submit this simple and primary truth of chemistry to investigation, but when once made clear it rapidly spread, and now seems as natural and simple as many truths which have been acknowledged for ages. mariotte and other savants of the seventeenth century already suspected the existence of the law of the indestructibility of matter, but they made no efforts to express it or to apply it to the requirements of science. the experiments by means of which this simple law was arrived at were made during the latter half of the last century by the founder of modern chemistry, lavoisier, the french academician and tax farmer. the numerous experiments of this savant were conducted with the aid of the balance, which is the only means of directly and accurately determining the quantity of matter. [ ] thus the ancients knew how to convert the juice of grapes containing the saccharine principle (glucose) into wine or vinegar, how to extract metals from the ores which are found in the earth's crust, and how to prepare glass from earthy substances. lavoisier found, by weighing all the substances, and even the apparatus, used in every experiment, and then weighing the substances obtained after the chemical change, that the sum of the weights of the substances formed was always equal to the sum of the weights of the substances taken; or, in other words: matter is not created and does not disappear, or that, _matter is everlasting_. this expression naturally includes a hypothesis, but our only aim in using it is to concisely express the following lengthy period--that in all experiments, and in all the investigated phenomena of nature, it has never been observed that the weight of the substances formed was less or greater (as far as accuracy of weighing permits[ ]) than the weight of the substances originally taken, and as weight is proportional to mass[ bis] or quantity of matter, it follows that no one has ever succeeded in observing a disappearance of matter or its appearance in fresh quantities. the law of the indestructibility of matter endows all chemical investigations with exactitude, as, on its basis, an equation may be formed for every chemical reaction. if in any reaction the weights of the substances taken be designated by the letters a, b, c, &c., and the weights of the substances formed by the letters m, n, o, &c., then a + b + c + ... ... ... = m + n + o + ... ... ... therefore, should the weight of one of the re-acting or resultant substances be unknown, it may be determined by solving the equation. the chemist, in applying the law of the indestructibility of matter, and in making use of the chemical balance, must never lose sight of any one of the re-acting or resultant substances. should such an over-sight be made, it will at once be remarked that the sum of the weights of the substances taken is unequal to the sum of the weights of the substances formed. all the progress made by chemistry during the end of the last, and in the present, century is entirely and immovably founded on the law of the indestructibility of matter. it is absolutely necessary in beginning the study of chemistry to become familiar with the simple truth which is expressed by this law, and for this purpose several examples elucidating its application will now be cited. [ ] the experiments conducted by staas (described in detail in chap. xxiv. on silver) form some of the accurate researches, proving that the weight of matter is not altered in chemical reactions, because he accurately weighed (introducing all the necessary corrections) the reacting and resultant substances. landolt ( ) carried on various reactions in inverted and sealed glass u-tubes, and on weighing the tubes before reaction (when the reacting solutions were separated in each of the branches of the tubes), and after (when the solutions had been well mixed together by shaking), found that either the weight remained perfectly constant or that the variation was so small (for instance, · milligram in a total weight of about a million milligrams) as to be ascribed to the inevitable errors of weighing. [ bis] the idea of the mass of matter was first shaped into an exact form by galileo (died ), and more especially by newton (born , died ), in the glorious epoch of the development of the principles of inductive reasoning enunciated by bacon and descartes in their philosophical treatises. shortly after the death of newton, lavoisier, whose fame in natural philosophy should rank with that of galileo and newton, was born on august , . the death of lavoisier occurred during the reign of terror of the french revolution, when he, together with twenty-six other chief farmers of the revenue, was guillotined on may , , at paris; but his works and ideas have made him immortal. . it is well known that iron rusts in damp air,[ ] and that when heated to redness in air it becomes coated with scoria (oxide), having, like rust, the appearance of an earthy substance resembling some of the iron ores from which metallic iron is extracted. if the iron is weighed before and after the formation of the scoria or rust, it will be found that the metal has increased in weight during the operation.[ ] it can easily be proved that this increase in weight is accomplished at the expense of the atmosphere, and mainly, as lavoisier proved, at the expense of that portion which is called oxygen. in fact, in a vacuum, or in gases which do not contain oxygen, for instance, in hydrogen or nitrogen, the iron neither rusts nor becomes coated with scoria. had the iron not been weighed, the participation of the oxygen of the atmosphere in its transformation into an earthy substance might have easily passed unnoticed, as was formerly the case, when phenomena like the above were, for this reason, misunderstood. it is evident from the law of the indestructibility of matter that as the iron increases in weight in its conversion into rust, the latter must be a more complex substance than the iron itself, and its formation is due to a reaction of combination. we might form an entirely wrong opinion about it, and might, for instance, consider rust to be a simpler substance than iron, and explain the formation of rust as the removal of something from the iron. such, indeed, was the general opinion prior to lavoisier, when it was held that iron contained a certain unknown substance called 'phlogiston,' and that rust was iron deprived of this supposed substance. [ ] by covering iron with an enamel, or varnish, or with unrustable metals (such as nickel), or a coating of paraffin, or other similar substances, it is protected from the air and moisture, and so kept from rusting. [ ] such an experiment may easily be made by taking the finest (unrusted) iron filings (ordinary filings must be first washed in ether, dried, and passed through a very fine sieve). the filings thus obtained are capable of burning directly in air (by oxidising or forming rust), especially when they hang (are attracted) on a magnet. a compact piece of iron does not burn in air, but spongy iron glows and smoulders like tinder. in making the experiment, a horse-shoe magnet is fixed, with the poles downwards, on one arm of a rather sensitive balance, and the iron filings are applied to the magnet (on a sheet of paper) so as to form a beard about the poles. the balance pan should be exactly under the filings on the magnet, in order that any which might fall from it should not alter the weight. the filings, having been weighed, are set light to by applying the flame of a candle; they easily take fire, and go on burning by themselves, forming rust. when the combustion is ended, it will be clear that the iron has increased in weight; from - / parts by weight of iron filings taken, there are obtained, by complete combustion, - / parts by weight of rust. [illustration: fig. .--apparatus for the decomposition of red mercury oxide.] . copper carbonate (in the form of a powder, or as the well-known green mineral called 'malachite,' which is used for making ornaments, or as an ore for the extraction of copper) changes into a black substance called 'copper oxide' when heated to redness.[ ] this black substance is also obtained by heating copper to redness in air--that is, it is the scoria or oxidation product of copper. the weight of the black oxide of copper left is less than that of the copper carbonate originally taken, and therefore we consider the reaction which occurred to have been one of decomposition, and that by it something was separated from the green copper carbonate, and, in fact, by closing the orifice of the vessel in which the copper carbonate is heated with a well-fitting cork, through which a gas delivery tube[ ] passes whose end is immersed under water, it will be observed that on heating, a gas is formed which bubbles through the water. this gas can be easily collected, as will presently be described, and it will be found to essentially differ from air in many respects; for instance, a burning taper is extinguished in it as if it had been plunged into water. if weighing had not proved to us that some substance had been separated, the formation of the gas might easily have escaped our notice, for it is colourless and transparent like air, and is therefore evolved without any striking feature. the carbonic anhydride evolved may be weighed,[ ] and it will be seen that the sum of the weights of the black copper oxide and carbonic anhydride is equal to the weight of the copper carbonate[ ] originally taken, and thus by carefully following out the various stages of all chemical reactions we arrive at a confirmation of the law of the indestructibility of matter. [ ] for the purpose of experiment, it is most convenient to take copper carbonate, which may be prepared by the experimenter himself, by adding a solution of sodium carbonate to a solution of copper sulphate. the precipitate (deposit) so formed is collected on a filter, washed, and dried. the decomposition of copper carbonate into copper oxide is effected by so moderate a heat that it may be performed in a glass vessel heated by a lamp. for this purpose a thin glass tube, closed at one end, and called a 'test tube,' may be employed, or else a vessel called a 'retort.' the experiment is carried on, as described in example three on p. , by collecting the carbonic anhydride over water, as will be afterwards explained. [ ] gas delivery tubes are usually made of glass tubing of various diameters and thicknesses. if of small diameter and thickness, a glass tube is easily bent by heating in a gas jet or the flame of a spirit lamp, and it may also be easily divided at a given point by making a deep scratch with a file and then breaking the tube at this point with a sharp jerk. these properties, together with their impermeability, transparency, hardness, and regularity of bore, render glass tubes most useful in experiments with gases. naturally they might be replaced by straws, india-rubber, metallic, or other tubes, but these are more difficult to fix on to a vessel, and are not entirely impervious to gases. a glass gas delivery tube may be hermetically fixed into a vessel by fitting it into a perforated cork, which should be soft and free from flaws, and fixing the cork into the orifice of the vessel. to protect the cork from the action of gases it is sometimes previously soaked in paraffin, or it may be replaced by an india-rubber cork. [ ] gases, like all other substances, may be weighed, but, owing to their extreme lightness and the difficulty of dealing with them in large masses, they can only be weighed by very sensitive balances; that is, in such as, with a considerable load, indicate a very small difference in weight--for example, a centigram or a milligram with a load of , grams. in order to weigh a gas, a glass globe furnished with a tight-fitting stop-cock is first of all exhausted of air by an air-pump (a sprengel pump is the best). the stop-cock is then closed, and the exhausted globe weighed. if the gas to be weighed is then let into the globe, its weight can be determined from the increase in the weight of the globe. it is necessary, however, that the temperature and pressure of the air about the balance should remain constant for both weighings, as the weight of the globe in air will (according to the laws of hydrostatics) vary with its density. the volume of the air displaced, and its weight, must therefore be determined by observing the temperature, density, and moisture of the atmosphere during the time of experiment. this will be partly explained later, but may be studied more in detail by physics. owing to the complexity of all these operations, the mass of a gas is usually determined from its volume and density, or from the weight of a known volume. [ ] the copper carbonate should be dried before weighing, as otherwise--besides copper oxide and carbonic anhydride--water will be obtained in the decomposition. water forms a part of the composition of malachite, and has therefore to be taken into consideration. the water produced in the decomposition may be all collected by absorbing it in sulphuric acid or calcium chloride, as will be described further on. in order to dry a salt it must be heated at about ° until its weight remains constant, or be placed under an air pump over sulphuric acid, as will also be presently described. as water is met with almost everywhere, and as it is absorbed by many substances, the possibility of its presence should never be lost sight of. . red mercury oxide (which is formed as mercury rust by heating mercury in air) is decomposed like copper carbonate (only by heating more slowly and at a somewhat higher temperature), with the formation of the peculiar gas, oxygen. for this purpose the mercury oxide is placed in a glass tube or retort,[ ] to which a gas delivery tube is attached by means of a cork. this tube is bent downwards, as shown in the drawing (fig. ). the open end of the gas delivery tube is immersed in a vessel filled with water, called a pneumatic trough.[ ] when the gas begins to be evolved in the retort it is obliged, having no other outlet, to escape through the gas delivery tube into the water in the pneumatic trough, and therefore its evolution will be rendered visible by the bubbles coming from this tube. in heating the retort containing the mercury oxide, the air contained in the apparatus is first partly expelled, owing to its expansion by heat, and then the peculiar gas called 'oxygen' is evolved, and may be easily collected as it comes off. for this purpose a vessel (an ordinary cylinder, as in the drawing) is filled quite full with water and its mouth closed; it is then inverted and placed in this position under the water in the trough; the mouth is then opened. the cylinder will remain full of water--that is, the water will remain at a higher level in it than in the surrounding vessel, owing to the atmospheric pressure. the atmosphere presses on the surface of the water in the trough, and prevents the water from flowing out of the cylinder. the mouth of the cylinder is placed over the end of the gas delivery tube,[ ] and the bubbles issuing from it will rise into the cylinder and displace the water contained in it. gases are generally collected in this manner. when a sufficient quantity of gas has accumulated in the cylinder it can be clearly shown that it is not air, but another gas which is distinguished by its capacity for vigorously supporting combustion. in order to show this, the cylinder is closed, under water, and removed from the bath; its mouth is then turned upwards, and a smouldering taper plunged into it. as is well known, a smouldering taper will be extinguished in air, but in the gas which is given off from red mercury oxide it burns clearly and vigorously, showing the property possessed by this gas for supporting combustion more energetically than air, and thus enabling it to be distinguished from the latter. it may be observed in this experiment that, besides the formation of oxygen, metallic mercury is formed, which, volatilising at the high temperature required for the reaction, condenses on the cooler parts of the retort as a mirror or in globules. thus two substances, mercury and oxygen, are obtained by heating red mercury oxide. in this reaction, from one substance, two new substances are produced--that is, a decomposition has taken place. the means of collecting and investigating gases were known before lavoisier's time, but he first showed the real part they played in the processes of many chemical changes which before his era were either wrongly understood (as will be afterwards explained) or were not explained at all, but only observed in their superficial aspects. this experiment on red mercury oxide has a special significance in the history of chemistry contemporary with lavoisier, because the oxygen gas which is here evolved is contained in the atmosphere, and plays a most important part in nature, especially in the respiration of animals, in combustion in air, and in the formation of rusts or scoriæ (earths, as they were then called) from metals--that is, of earthy substances, like the ores from which metals are extracted. [ ] as the decomposition of red oxide of mercury requires so high a temperature, near redness, as to soften ordinary glass, it is necessary for this experiment to take a retort (or test tube) made of hard glass, which is able to stand high temperatures without softening. for the same reason, the lamp used must give a strong heat and a large flame, capable of embracing the whole bottom of the retort, which should be as small as possible for the convenience of the experiment. [ ] [illustration: fig. .--apparatus for distilling under a diminished pressure liquids which decompose at their boiling points under the ordinary pressure. the apparatus in which the liquid is distilled is connected with a large globe from which the air is pumped out; the liquid is heated, and the receiver cooled.] the pneumatic trough may naturally be made of any material (china, earthenware, or metal, &c.), but usually a glass one, as shown in the drawing, is used, as it allows the progress of the experiment to be better observed. for this reason, as well as the ease with which they are kept clean, and from the fact also that glass is not acted on by many substances which affect other materials (for instance, metals), glass vessels of all kinds--such as retorts, test tubes, cylinders, beakers, flasks, globes, &c.--are preferred to any other for chemical experiments. glass vessels may be heated without any danger if the following precautions be observed: st, they should be made of thin glass, as otherwise they are liable to crack from the bad heat-conducting power of glass; nd, they should be surrounded by a liquid or with sand (fig. ), or sand bath as it is called; or else should stand in a current of hot gases without touching the fuel from which they proceed, or in the flame of a smokeless lamp. a common candle or lamp forms a deposit of soot on a cold object placed in their flames. the soot interferes with the transmission of heat, and so a glass vessel when covered with soot often cracks. and for this reason spirit lamps, which burn with a smokeless flame, or gas burners of a peculiar construction, are used. in the bunsen burner the gas is mixed with air, and burns with a non-luminous and smokeless flame. on the other hand, if an ordinary lamp (petroleum or benzine) does not smoke it may be used for heating a glass vessel without danger, provided the glass is placed well above the flame in the current of hot gases. in all cases, the heating should be begun very carefully by raising the temperature by degrees. [ ] in order to avoid the necessity of holding the cylinder, its open end is widened (and also ground so that it may be closely covered with a ground-glass plate when necessary), and placed on a stand below the level of the water in the bath. this stand is called 'the bridge.' it has several circular openings cut through it, and the gas delivery tube is placed under one of these, and the cylinder for collecting the gas over it. . in order to illustrate by experiment one more example of chemical change and the application of the law of the indestructibility of matter, we will consider the reaction between common table salt and lunar caustic, which is well known from its use in cauterising wounds. by taking a clear solution of each and mixing them together, it will at once be observed that a solid white substance is formed, which settles to the bottom of the vessel, and is insoluble in water. this substance may be separated from the solution by filtering; it is then found to be an entirely different substance from either of those taken originally in the solutions. this is at once evident from the fact that it does not dissolve in water. on evaporating the liquid which passed through the filter, it will be found to contain a new substance unlike either table salt or lunar caustic, but, like them, soluble in water. thus table salt and lunar caustic, two substances soluble in water, produced, by their mutual chemical action, two new substances, one insoluble in water, and the other remaining in solution. here, from two substances, two others are obtained, consequently there occurred a reaction of substitution. the water served only to convert the re-acting substances into a liquid and mobile state. if the lunar caustic and salt be dried[ ] and weighed, and if about - / grams[ ] of salt and grams of lunar caustic be taken, then - / grams of insoluble silver chloride and grams of sodium nitrate will be obtained. the sum of the weights of the re-acting and resultant substances are seen to be similar and equal to - / grams, which necessarily follows from the law of the indestructibility of matter. [ ] drying is necessary in order to remove any water which may be held in the salts (_see_ note , and chapter i., notes and ). [ ] the exact weights of the re-acting and resulting substances are determined with the greatest difficulty, not only from the possible inexactitude of the balance (every weighing is only correct within the limits of the sensitiveness of the balance) and weights used in weighing, not only from the difficulty in making corrections for the weight of air displaced by the vessels holding the substances weighed and by the weights themselves, but also from the hygroscopic nature of many substances (and vessels) causing absorption of moisture from the atmosphere, and from the difficulty in not losing any of the substance to be weighed in the several operations (filtering, evaporating, and drying, &c.) which have to be performed before arriving at a final result. all these circumstances have to be taken into consideration in exact researches, and their elimination requires very many special precautions which are impracticable in preliminary experiments. accepting the truth of the above law, the question naturally arises as to whether there is any limit to the various chemical transformations, or are they unrestricted in number--that is to say, is it possible from a given substance to obtain an equivalent quantity of any other substance? in other words, does there exist a perpetual and infinite change of one kind of material into every other kind, or is the cycle of these transformations limited? this is the second essential problem of chemistry, a question of quality of matter, and one, it is evident, which is more complicated than the question of quantity. it cannot be solved by a mere superficial glance at the subject. indeed, on seeing how all the varied forms and colours of plants are built up from air and the elements of the soil, and how metallic iron can be transformed into colours such as inks and prussian blue, we might be led to think that there is no end to the qualitative changes to which matter is susceptible. but, on the other hand, the experiences of everyday life compel us to acknowledge that food cannot be made out of a stone, or gold out of copper. thus a definite answer can only be looked for in a close and diligent study of the subject, and the problem has been resolved in different way at different times. in ancient times the opinion most generally held was that everything visible was composed of four elements--air, water, earth, and fire. the origin of this doctrine can be traced far back into the confines of asia, whence it was handed down to the greeks, and most fully expounded by empedocles, who lived before b.c. this doctrine was not the result of exact research, but apparently owes its origin to the clear division of bodies into gases (like air), liquids (like water), and solids (like the earth). the arabs appear to have been the first who attempted to solve the question by experimental methods, and they introduced, through spain, the taste for the study of similar problems into europe, where from that time there appear many adepts in chemistry, which was considered as an unholy art, and called 'alchemy.' as the alchemists were ignorant of any exact law which could guide them in their researches, they obtained most anomalous results. their chief service to chemistry was that they made a number of experiments, and discovered many new chemical transformations; but it is well known how they solved the fundamental problem of chemistry. their view may be taken as a positive acknowledgment of the infinite transmutability of matter, for they aimed at discovering the philosopher's stone, capable of converting everything into gold and diamonds, and of making the old young again. this solution of the question was afterwards completely overthrown, but it must not, for this reason, be thought that the hopes held by the alchemists were only the fruit of their imaginations. the first chemical experiments might well lead them to their conclusions. they took, for instance, the bright metallic mineral galena, and extracted metallic lead from it. thus they saw that from a metallic substance which is unfitted for use they could obtain another metallic substance which is ductile and valuable for many technical purposes. furthermore, they took this lead and obtained silver, a still more valuable metal, from it. thus they might easily conclude that it was possible to ennoble metals by means of a whole series of transmutations--that is to say, to obtain from them those which are more and more precious. having got silver from lead, they assumed that it would be possible to obtain gold from silver. the mistake they made was that they never weighed or measured the substances used or produced in their experiments. had they done so, they would have learnt that the weight of the lead was much less than that of the galena from which it was obtained, and the weight of the silver infinitesimal compared with that of the lead. had they looked more closely into the process of the extraction of the silver from lead (and silver at the present time is chiefly obtained from the lead ores) they would have seen that the lead does not change into silver, but that it only contains a certain small quantity of it, and this amount having once been separated from the lead it cannot by any further operation give more. the silver which the alchemists extracted from the lead was in the lead, and was not obtained by a chemical change of the lead itself. this is now well known from experiment, but the first view of the nature of the process was very likely to be an erroneous one.[ ] the methods of research adopted by the alchemists could give but little success, for they did not set themselves clear and simple questions whose answers would aid them to make further progress. thus though they did not arrive at any exact law, they left nevertheless numerous and useful experimental data as an inheritance to chemistry; they investigated, in particular, the transformations proper to metals, and for this reason chemistry was for long afterwards entirely confined to the study of metallic substances. [ ] besides which, in the majority of cases, the first explanation of most subjects which do not repeat themselves in everyday experience under various aspects, but always in one form, or only at intervals and infrequently, is usually wrong. thus the daily evidence of the rising of the sun and stars evokes the erroneous idea that the heavens move and the earth stands still. this apparent truth is far from being the real truth, and, as a matter of fact, is contradictory to it. similarly, an ordinary mind and everyday experience concludes that iron is incombustible, whereas it burns not only as filings, but even as wire, as we shall afterwards see. with the progress of knowledge very many primitive prejudices have been obliged to give way to true ideas which have been verified by experiment. in ordinary life we often reason at first sight with perfect truth, only because we are taught a right judgment by our daily experience. it is a necessary consequence of the nature of our minds to reach the attainment of truth through elementary and often erroneous reasoning and through experiment, and it would be very wrong to expect a knowledge of truth from a simple mental effort. naturally, experiment itself cannot give truth, but it gives the means of destroying erroneous representations whilst confirming those which are true in all their consequences. in their researches, the alchemists frequently made use of two chemical processes which are now termed 'reduction' and 'oxidation.' the rusting of metals, and in general their conversion from a metallic into an earthy form, is called 'oxidation,' whilst the extraction of a metal from an earthy substance is called 'reduction.' many metals--for instance, iron, lead, and tin--are oxidised by heating in air alone, and may be again reduced by heating with carbon. such oxidised metals are found in the earth, and form the majority of metallic ores. the metals, such as tin, iron, and copper, may be extracted from these ores by heating them together with carbon. all these processes were well studied by the alchemists. it was afterwards shown that all earths and minerals are formed of similar metallic rusts or oxides, or of their combinations. thus the alchemists knew of two forms of chemical changes: the oxidation of metals and the reduction of the oxides so formed into metals. the explanation of the nature of these two classes of chemical phenomena was the means for the discovery of the most important chemical laws. the first hypothesis on their nature is due to becker, and more particularly to stahl, a surgeon to the king of prussia. stahl writes in his 'fundamenta chymiæ,' , that all substances consist of an imponderable fiery substance called 'phlogiston' (materia aut principium ignis non ipse ignis), and of another element having particular properties for each substance. the greater the capacity of a body for oxidation, or the more combustible it is, the richer it is in phlogiston. carbon contains it in great abundance. in oxidation or combustion phlogiston is emitted, and in reduction it is consumed or enters into combination. carbon reduces earthy substances because it is rich in phlogiston, and gives up a portion of its phlogiston to the substance reduced. thus stahl supposed metals to be compound substances consisting of phlogiston and an earthy substance or oxide. this hypothesis is distinguished for its very great simplicity, and for this and other reasons it acquired many supporters.[ ] [ ] it is true that stahl was acquainted with a fact which directly disproved his hypothesis. it was already known (from the experiments of geber, and more especially of ray, in ) that metals increase in weight by oxidation, whilst, according to stahl's hypothesis, they should decrease in weight, because phlogiston is separated by oxidation. stahl speaks on this point as follows:--'i am well aware that metals, in their transformation into earths, increase in weight. but not only does this fact not disprove my theory, but, on the contrary, confirms it, for phlogiston is lighter than air, and, in combining with substances, strives to lift them, and so decreases their weight; consequently, a substance which has lost phlogiston must be heavier.' this argument, it will be seen, is founded on a misconception of the properties of gases, regarding them as having no weight and as not being attracted by the earth, or else on a confused idea of phlogiston itself, since it was first defined as imponderable. the conception of imponderable phlogiston tallies well with the habit and methods of the last century, when recourse was often had to imponderable fluids for explaining a large number of phenomena. heat, light, magnetism, and electricity were explained as being peculiar imponderable fluids. in this sense the doctrine of stahl corresponds entirely with the spirit of his age. if heat be now regarded as motion or energy, then phlogiston also should be considered in this light. in fact, in combustion, of coals for instance, heat and energy are evolved, and not combined in the coal, although the oxygen and coal do combine. consequently, the doctrine of stahl contains the essence of a true representation of the evolution of energy, but naturally this evolution is only a consequence of the combination occurring between the coal and oxygen. as regards the history of chemistry prior to lavoisier, besides stahl's work (to which reference has been made above), priestley's _experiments and observations on different kinds of air_, london, , and also scheele's _opuscula chimica et physica_, lips., - , vols., must be recommended as the two leading works of the english and scandinavian chemists showing the condition of chemical learning before the propagation of lavoisier's views, and containing also many important observations which lie at the basis of the chemistry of our times. a most interesting memoir on the history of phlogiston is that of rodwell, in the _philosophical magazine_, , in which it is shown that the idea of phlogiston dates very far back, that basil valentine ( - ), in the _cursus triumphalis antimonii_, paracelsus ( - ), in his work, _de rerum natura_, glauber ( - ), and especially john joachim becher ( - ), in his _physica subterranea_, all referred to phlogiston, but under different names. [illustration: fig. .--lavoisier's apparatus for determining the composition of air and the reason of metals increasing in weight when they are calcined in air.] lavoisier proved by means of the balance that every case of rusting of metals or oxidation, or of combustion, is accompanied by an increase in weight at the expense of the atmosphere. he formed, therefore, the natural opinion that the heavier substance is more complex than the lighter one.[ ] lavoisier's celebrated experiment, made in , gave indubitable support to his opinion, which in many respects was contradictory to stahl's doctrine. lavoisier poured four ounces of pure mercury into a glass retort (fig. ), whose neck was bent as shown in the drawing and dipped into the vessel r s, also full of mercury. the projecting end of the neck was covered with a glass bell-jar p. the weight of all the mercury taken, and the volume of air remaining in the apparatus, namely, that in the upper portion of the retort, and under the bell-jar, were determined before beginning the experiment. it was most important in this experiment to know the volume of air in order to learn what part it played in the oxidation of the mercury, because, according to stahl, phlogiston is emitted into the air, whilst, according to lavoisier, the mercury in oxidising absorbs a portion of the air; and consequently it was absolutely necessary to determine whether the amount of air increased or decreased in the oxidation of the metal. it was, therefore, most important to measure the volume of the air in the apparatus both before and after the experiment. for this purpose it was necessary to know the total capacity of the retort, the volume of the mercury poured into it, the volume of the bell-jar above the level of the mercury, and also the temperature and pressure of the air at the time of its measurement. the volume of air contained in the apparatus and isolated from the surrounding atmosphere could be determined from these data. having arranged his apparatus in this manner, lavoisier heated the retort holding the mercury for a period of twelve days at a temperature near the boiling point of mercury. the mercury became covered with a quantity of small red scales; that is, it was oxidised or converted into an earth. this substance is the same mercury oxide which has already been mentioned (example ). after the lapse of twelve days the apparatus was cooled, and it was then seen that the volume of the air in the apparatus had diminished during the time of the experiment. this result was in exact contradiction to stahl's hypothesis. out of cubic inches of air originally taken, there only remained . lavoisier's experiment led to other equally important results. the weight of the air taken decreased by as much as the weight of the mercury increased in oxidising; that is, the portion of the air was not destroyed, but only combined with mercury. this portion of the air may be again separated from the mercury oxide and has, as we saw (example ), properties different from those of air. it is called 'oxygen.' that portion of the air which remained in the apparatus and did not combine with the mercury does not oxidise metals, and cannot support either combustion or respiration, so that a lighted taper is immediately extinguished if it be dipped into the gas which remains in the bell-jar. 'it is extinguished in the residual gas as if it had been plunged into water,' writes lavoisier in his memoirs. this gas is called 'nitrogen.' thus air is not a simple substance, but consists of two gases, oxygen and nitrogen, and therefore the opinion that air is an elementary substance is erroneous. the oxygen of the air is absorbed in combustion and the oxidation of metals, and the earths produced by the oxidation of metals are substances composed of oxygen and a metal. by mixing the oxygen with the nitrogen the same air as was originally taken is re-formed. it has also been shown by direct experiment that on reducing an oxide with carbon, the oxygen contained in the oxide is transferred to the carbon, and gives the same gas that is obtained by the combustion of carbon in air. therefore this gas is a compound of carbon and oxygen, just as the earthy oxides are composed of metals and oxygen. [ ] an englishman, named mayow, who lived a whole century before lavoisier (in ), understood certain phenomena of oxidation in their true aspect, but was not able to develop his views with clearness, or support them by conclusive experiments; he cannot therefore be considered, like lavoisier, as the founder of contemporary chemical learning. science is a universal heritage, and therefore it is only just to give the highest honour in science, not to those who first enunciate a certain truth, but to those who are first able to convince others of its authenticity and establish it for the general welfare. but scientific discoveries are rarely made all at once; as a rule, the first teachers do not succeed in convincing others of the truth they have discovered; with time, however, a true herald comes forward, possessing every means for making the truth apparent to all, but it must not be forgotten that such are entirely indebted to the labours and mass of data accumulated by many others. such was lavoisier, and such are all the great founders of science. they are the enunciators of all past and present learning, and their names will always be revered by posterity. the many examples of the formation and decomposition of substances which are met with convince us that the majority of substances with which we have to deal are compounds made up of several other substances. by heating chalk (or else copper carbonate, as in the second example) we obtain lime and the same carbonic acid gas which is produced by the combustion of carbon. on bringing lime into contact with this gas and water, at the ordinary temperature, we again obtain the compound, carbonate of lime, or chalk. therefore chalk is a compound. so also are those substances from which it may be built up. carbonic anhydride is formed by the combination of carbon and oxygen; and lime is produced by the oxidation of a certain metal called 'calcium.' by resolving substances in this manner into their component parts, we arrive at last at such as are indivisible into two or more substances by any means whatever, and which cannot be formed from other substances. all we can do is to make such substances combine together to act on other substances. substances which cannot be formed from or decomposed into others are termed _simple substances_ (elements). thus all homogeneous substances may be classified into simple and compound substances. this view was introduced and established as a scientific fact during the lifetime of lavoisier. the number of these elements is very small in comparison with the number of compound substances which are formed by them. at the present time, only seventy elements are known with certainty to exist. some of them are very rarely met with in nature, or are found in very small quantities, whilst the existence of others is still doubtful. the number of elements with whose compounds we commonly deal in everyday life is very small. elements cannot be transmuted into one another--at least up to the present not a single case of such a transformation has been met with; it may therefore be said that, as yet, it is impossible to transmute one metal into another. and as yet, notwithstanding the number of attempts which have been made in this direction, no fact has been discovered which could in any way support the idea of the complexity of such well-known elements[ ] as oxygen, iron, sulphur, &c. therefore, from its very conception, an element is not susceptible to reactions of decomposition.[ ] [ ] many of the ancient philosophers assumed the existence of one elementary form of matter. this idea still appears in our times, in the constant efforts which are made to reduce the number of the elements; to prove, for instance, that bromine contains chlorine or that chlorine contains oxygen. many methods, founded both on experiment and theory, have been tried to prove the compound nature of the elements. all labour in this direction has as yet been in vain, and the assurance that elementary matter is not so homogeneous (single) as the mind would desire in its first transport of rapid generalisation is strengthened from year to year. all our knowledge shows that iron and other elements remain, even at such a high temperature as there exists in the sun, as different substances, and are not converted into one common material. admitting, even mentally, the possibility of one elementary form of matter, a method must be imagined by which it could give rise to the various elements, as also the _modus operandi_ of their formation from one material. if it be said that this diversitude only takes place at low temperatures, as is observed with isomerides, then there would be reason to expect, if not the transition of the various elements into one particular and more stable form, at least the mutual transformation of some into others. but nothing of the kind has as yet been observed, and the alchemist's hope to manufacture (as berthollet puts it) elements has no theoretical or practical foundation. [ ] the weakest point in the idea of elements is the negative character of the determinative signs given them by lavoisier, and from that time ruling in chemistry. they do _not_ decompose, they do _not_ change into one another. but it must be remarked that elements form the limiting horizon of our knowledge of matter, and it is always difficult to determine a positive side on the borderland of what is known. besides, there is no doubt (from the results of spectrum analysis) that the elements are distributed as far as the most distant stars, and that they support the highest attainable temperatures without decomposing. the quantity, therefore, of each element remains constant in all chemical changes: a fact which may be deduced as a consequence of the law of the indestructibility of matter, and of the conception of elements themselves. thus the equation expressing the law of the indestructibility of matter acquires a new and still more important signification. if we know the quantities of the elements which occur in the re-acting substances, and if from these substances there proceed, by means of chemical changes, a series of new compound substances, then the latter will together contain the same quantity of each of the elements as there originally existed in the re-acting substances. the essence of chemical change is embraced in the study of how, and with what substances, each element is combined before and after change. in order to be able to express various chemical changes by equations, it has been agreed to represent each element by the first or some two letters of its (latin) name. thus, for example, oxygen is represented by the letter o; nitrogen by n; mercury (hydrargyrum) by hg; iron (ferrum) by fe; and so on for all the elements, as is seen in the tables on page . a compound substance is represented by placing the symbols representing the elements of which it is made up side by side. for example, red mercury oxide is represented by hgo, which shows that it is composed of oxygen and mercury. besides this, the symbol of every element corresponds with a certain relative quantity of it by weight, called its 'combining' weight, or the weight of an atom; so that the chemical formula of a compound substance not only designates the nature of the elements of which it is composed, but also their quantitative proportion. every chemical process may be expressed by an equation composed of the formulæ corresponding with those substances which take part in it and are produced by it. the amount by weight of the elements in every chemical equation must be equal on both sides of the equation, since no element is either formed or destroyed in a chemical change. on pages , , and a list of the elements, with their symbols and combining or atomic weights, is given, and we shall see afterwards on what basis the atomic weights of elements are determined. at present we will only point out that a compound containing the elements a and b is designated by the formula a_n_ b_m_, where _m_ and _n_ are the coefficients or multiples in which the combining weights of the elements enter into the composition of the substance. if we represent the combining weight of the substance a by _a_ and that of the substance b by _b_, then the composition of the substance a_n_ b_m_ will be expressed thus: it contains _na_ parts by weight of the substance a and _mb_ parts by weight of the substance b, and consequently parts of our compound contain _na_ /_na_ + _mb_ percentage parts by weight of the substance a and _mb_ /_na_ + _mb_ of the substance b. it is evident that as a formula shows the relative amounts of all the elements contained in a compound, the actual weights of the elements contained in a given weight of a compound may be calculated from its formula. for example, the formula nacl of table salt shows (as na = and cl = · ) that · lbs. of salt contain lbs. of sodium and · lbs. of chlorine, and that parts of it contain · per cent. of sodium and · per cent. of chlorine. what has been said above clearly limits the province of chemical changes, because from substances of a given kind there can be obtained only such as contain the same elements. even with this limitation, however, the number of possible combinations is infinitely great. only a comparatively small number of compounds have yet been described or subjected to research, and any one working in this direction may easily discover new compounds which had not before been obtained. it often happens, however, that such newly-discovered compounds were foreseen by chemistry, whose object is the apprehension of that uniformity which rules over the multitude of compound substances, and whose aim is the comprehension of those laws which govern their formation and properties. the conception of elements having been established, the next objects of chemistry were: the determination of the properties of compound substances on the basis of the determination of the quantity and kind of elements of which they are composed; the investigation of the elements themselves; the determination of what compound substances can be formed from each element and the properties which these compounds show; and the apprehension of the nature of the connection between the elements in different compounds. an element thus serves as the starting point, and is taken as the primary conception on which all other substances are built up. when we state that a certain element enters into the composition of a given compound (when we say, for instance, that mercury oxide contains oxygen) we do not mean that it contains oxygen as a gaseous substance, but only desire to express those transformations which mercury oxide is capable of making; that is, we wish to say that it is possible to obtain oxygen from mercury oxide, and that it can give up oxygen to various other substances; in a word, we desire only to express those transformations of which mercury oxide is capable. or, more concisely, it may be said that the _composition_ of a compound is the expression of those transformations of which it is capable. it is useful in this sense to make a clear distinction between the conception of an element as a _separate_ homogeneous substance, and as a _material_ but invisible _part_ of a compound. mercury oxide does not contain two simple bodies, a gas and a metal, but two elements, mercury and oxygen, which, when free, are a gas and a metal. neither mercury as a metal nor oxygen as a gas is contained in mercury oxide; it only contains the substance of these elements, just as steam only contains the substance of ice, but not ice itself, or as corn contains the substance of the seed, but not the seed itself. the existence of an element may be recognised without knowing it in the uncombined state, but only from an investigation of its combinations, and from the knowledge that it gives, under all possible conditions, substances which are unlike other known combinations of substances. fluorine is an example of this kind. it was for a long time unknown in a free state, and nevertheless was recognised as an element because its combinations with other elements were known, and their difference from all other similar compound substances was determined. in order to grasp the difference between the conception of the visible form of an element as we know it in the free state, and of the intrinsic element (or 'radicle,' as lavoisier called it) contained in the visible form, it should be remarked that compound substances also combine together forming yet more complex compounds, and that they evolve heat in the process of combination. the original compound may often be extracted from these new compounds by exactly the same methods as elements are extracted from their corresponding combinations. besides, many elements exist under various visible forms whilst the intrinsic element contained in these various forms is something which is not subject to change. thus carbon appears as charcoal, graphite, and diamond, but yet the element carbon alone, contained in each, is one and the same. carbonic anhydride contains carbon, and not charcoal, or graphite, or the diamond. elements alone, although not all of them, have the peculiar lustre, opacity, malleability, and the great heat and electrical conductivity which are proper to metals and their mutual combinations. but elements are far from all being _metals_. those which do not possess the physical properties of metals are called _non-metals_ (or _metalloids_). it is, however, impossible to draw a strict line of demarcation between metals and non-metals, there being many intermediary substances. thus graphite, from which pencils are manufactured, is an element with the lustre and other properties of a metal; but charcoal and the diamond, which are composed of the same substance as graphite, do not show any metallic properties. both classes of elements are clearly distinguished in definite examples, but in particular cases the distinction is not clear and cannot serve as a basis for the exact division of the elements into two groups. the conception of elements forms the basis of chemical knowledge, and in giving a list of them at the very beginning of our work, we wish to tabulate our present knowledge on the subject. altogether about seventy elements are now authentically known, but many of them are so rarely met with in nature, and have been obtained in such small quantities, that we possess but a very insufficient knowledge of them. the substances most widely distributed in nature contain a very small number of elements. these elements have been more completely studied than the others, because a greater number of investigators have been able to carry on experiments and observations on them. the elements most widely distributed in nature are:-- hydrogen, h = . in water, and in animal and vegetable organisms. carbon, c = . in organisms, coal, limestones. nitrogen, n = . in air and in organisms. oxygen, o = . in air, water, earth. it forms the greater part of the mass of the earth. sodium, na = . in common salt and in many minerals. magnesium, mg = . in sea-water and in many minerals. aluminium, al = . in minerals and clay. silicon, si = . in sand, minerals, and clay. phosphorus, p = . in bones, ashes of plants, and soil. sulphur, s = . in pyrites, gypsum, and in sea-water. chlorine, cl = · . in common salt, and in the salts of sea-water. potassium, k = . in minerals, ashes of plants, and in nitre. calcium, ca = . in limestones, gypsum, and in organisms. iron, fe = . in the earth, iron ores, and in organisms. besides these, the following elements, although not very largely distributed in nature, are all more or less well known from their applications to the requirements of everyday life or the arts, either in a free state or in their compounds:-- lithium, li = . in medicine (li_{ }co_{ }), and in photography (libr). boron, b = . as borax, b_{ }na_{ }o_{ }, and as boric anhydride, b_{ }o_{ }. fluorine, f = . as fluor spar, caf_{ }, and as hydrofluoric acid, hf. chromium, cr = . as chromic anhydride, cro_{ }, and potassium dichromate, k_{ }cr_{ }o_{ }. manganese, mn = . as manganese peroxide, mno_{ }, and potassium permanganate, mnko_{ }. cobalt, co = · in smalt and blue glass. nickel, ni = · for electro-plating other metals. copper, cu = . the well-known red metal. zinc, zn = . used for the plates of batteries, roofing, &c. arsenic, as = . white arsenic (poison), as_{ }o_{ }. bromine, br = . a brown volatile liquid; sodium bromide, nabr. strontium, sr = . in coloured fires (srn_{ }o_{ }). silver, ag = . the well-known white metal. cadmium, cd = . in alloys. yellow paint (cds). tin, sn = . the well-known metal. antimony, sb = . in alloys such as type metal. iodine, i = . in medicine and photography; free, and as ki. barium, ba = . "permanent white," and as an adulterant in white lead, and in heavy spar, baso_{ }. platinum, pt = .} gold, au = .} mercury, hg = .} well-known metals. lead, pb = .} bismuth, bi = . in medicine and fusible alloys. uranium, u = . in green fluorescent glass. the compounds of the following metals and semi-metals have fewer applications, but are well known, and are somewhat frequently met with in nature, although in small quantities:-- beryllium, be = . palladium, pd = . titanium, ti = . cerium, ce = . vanadium, v = . tungsten, w = . selenium, se = . osmium, os = . zirconium, zr = . iridium, ir = . molybdenum, mo = . thallium, tl = . the following rare metals are still more seldom met with in nature, but have been studied somewhat fully:-- scandium, sc = . germanium, ge = . gallium, ga = . rubidium, rb = . yttrium, y = . cæsium, cs = . niobium, nb = . lanthanum, la = . ruthenium, ru = . didymium, di = . rhodium, rh = . ytterbium, yb = . indium, in = . tantalum, ta = . tellurium, te = . thorium, th = . besides these elements there have been discovered:--erbium, terbium, samarium, thullium, holmium, mosandrium, phillipium, and several others. but their properties and combinations, owing to their extreme rarity, are very little known, and even their existence as independent substances[ ] is doubtful. [ ] possibly some of their compounds are compounds of other already-known elements. pure and incontestably independent compounds of these substances are unknown, and some of them have not even been separated, but are only supposed to exist from the results of spectroscopic researches. there can be no mention of such contestable and doubtful elements in a short general handbook of chemistry. it has been incontestably proved from observations on the spectra of the heavenly bodies that many of the commoner elements (such as h, na, mg, fe) occur on the far distant stars. this fact confirms the belief that those forms of matter which appear on the earth as elements are widely distributed over the entire universe. but we do not yet know why, in nature, the mass of some elements should be greater than that of others.[ bis] [ bis] clark in america made an approximate calculation of the amount of the different elements contained in the earth's crust (to a depth of kilometres), and found that the chief mass (over per cent.) is composed of oxygen; then comes silicon, &c.; while the amount of hydrogen is less than per cent., carbon scarcely · per cent., nitrogen even less than · per cent. the relative masses of such metals as cu, ni, au is minute. judging from the density (see chapter viii.) of the earth, a large proportion of its mass must be composed of iron. the capacity of each element to combine with one or another element, and to form compounds with them which are in a greater or less degree prone to give new and yet more complex substances, forms the fundamental character of each element. thus sulphur easily combines with the metals, oxygen, chlorine, or carbon, whilst gold and silver enter into combinations with difficulty, and form unstable compounds, which are easily decomposed by heat. the cause or force which induces the elements to enter into chemical change must be considered, as also the cause which holds different substances in combination--that is, which endues the substances formed with their particular degree of stability. this cause or force is called _affinity_ (_affinitas_, _affinité_, _verwandtschaft_), or chemical affinity.[ ] since this force must be regarded as exclusively an attractive force, like gravity, many writers (for instance, bergmann at the end of the last, and berthollet at the beginning of this, century) supposed affinity to be essentially similar to the universal force of gravity, from which it only differs in that the latter acts at observable distances whilst affinity only evinces itself at the smallest possible distances. but chemical affinity cannot be entirely identified with the universal attraction of gravity, which acts at appreciable distances and is dependent only on mass and distance, and not on the quality of the material on which it acts, whilst it is by the quality of matter that affinity is most forcibly influenced. neither can it be entirely identified with cohesion, which gives to homogeneous solid substances their crystalline form, elasticity, hardness, ductility, and other properties, and to liquids their surface tension, drop formation, capillarity, and other properties, because affinity acts between the component parts of a substance and cohesion on a substance in its homogeneity, although both act at imperceptible distances (by contact) and have much in common. chemical force, which makes one substance penetrate into another, cannot be entirely identified with even those attracting forces which make different substances adhere to each other, or hold together (as when two plane-polished surfaces of solid substances are brought into close contact), or which cause liquids to soak into solids, or adhere to their surfaces, or gases and vapours to condense on the surfaces of solids. these forces must not be confounded with chemical forces, which cause one substance to penetrate into the substance of another and to form a new substance, which is never the case with cohesion. but it is evident that the forces which determine cohesion form a connecting-link between mechanical and chemical forces, because they only act by intimate contact. for a long time, and especially during the first half of this century, chemical attraction and chemical forces were identified with electrical forces. there is certainly an intimate relation between them, for electricity is evolved in chemical reactions, and has also a powerful influence on chemical processes--for instance, compounds are decomposed by the action of an electrical current. and the exactly similar relation which exists between chemical phenomena and the phenomena of heat (heat being developed by chemical phenomena, and heat being able to decompose compounds) only proves the unity of the forces of nature, the capability of one force to produce and to be transformed into others. for this reason the identification of chemical force with electricity will not bear experimental proof.[ ] as of all the (molecular) phenomena of nature which act on substances at immeasurably small distances, the phenomena of heat are at present the best (comparatively) known, having been reduced to the simplest fundamental principles of mechanics (of energy, equilibrium, and movement), which, since newton, have been subjected to strict mathematical analysis, it is quite natural that an effort, which has been particularly pronounced during recent years, should have been made to bring chemical phenomena into strict correlation with the already investigated phenomena of heat, without, however, aiming at any identification of chemical with heat phenomena. the true nature of chemical force is still a secret to us, just as is the nature of the universal force of gravity, and yet without knowing what gravity really is, by applying mechanical conceptions, astronomical phenomena have been subjected not only to exact generalisation but to the detailed prediction of a number of particular facts; and so, also, although the true nature of chemical affinity may be unknown, there is reason to hope for considerable progress in chemical science by applying the laws of mechanics to chemical phenomena by means of the mechanical theory of heat. as yet this portion of chemistry has been but little worked at, and therefore, while forming a current problem of the science, it is treated more fully in that particular field which is termed either 'theoretical' or 'physical' chemistry, or, more correctly, _chemical mechanics_. as this province of chemistry requires a knowledge not only of the various homogeneous substances which have yet been obtained and of the chemical transformations which they undergo, but also of the phenomena (of heat and other kinds) by which these transformations are accompanied, it is only possible to enter on the study of chemical mechanics after an acquaintance with the fundamental chemical conceptions and substances which form the subject of this book.[ ] [ ] this word, first introduced, if i mistake not, into chemistry by glauber, is based on the idea of the ancient philosophers that combination can only take place when the substances combining have something in common--a medium. as is generally the case, another idea evolved itself in antiquity, and has lived until now, side by side with the first, to which it is exactly contradictory; this considers union as dependent on contrast, on polar difference, on an effort to fill up a want. [ ] especially conclusive are those cases of so-called metalepsis (dumas, laurent). chlorine, in combining with hydrogen, forms a very stable substance called 'hydrochloric acid,' which is split up by the action of an electrical current into chlorine and hydrogen, the chlorine appearing at the positive and the hydrogen at the negative pole. hence electro-chemists considered hydrogen to be an electro-positive and chlorine an electro-negative element, and that they are held together in virtue of their opposite electrical charges. it appears, however, from metalepsis, that chlorine can replace hydrogen (and, inversely, hydrogen can replace chlorine) in its compounds without in any way changing the grouping of the other elements, or altering their chief chemical properties. for instance, acetic acid in which hydrogen has been replaced by chlorine is still capable of forming salts. it must be observed, whilst considering this subject, that the explanation suggesting electricity as the origin of chemical phenomena is unsound, since it attempts to explain one class of phenomena whose nature is almost unknown by another class which is no better known. it is most instructive to remark that together with the electrical theory of chemical attraction there arose and survives a view which explains the galvanic current as being a transference of chemical action through the circuit--_i.e._, regards the origin of electricity as being a chemical one. it is evident that the connection is very intimate, although both phenomena are independent and represent different forms of molecular (atomic) motion, whose real nature is not yet understood. nevertheless, the connection between the phenomena of both categories is not only in itself very instructive, but it extends the applicability of the general idea of the unity of the forces of nature, conviction of the truth of which has held so important a place in the science of the last ten years. [ ] i consider that in an elementary text-book of chemistry, like the present, it is only possible and advisable to mention, in reference to chemical mechanics, a few general ideas and some particular examples referring more especially to gases, whose mechanical theory must be regarded as the most complete. the molecular mechanics of liquids and solids is as yet in embryo, and contains much that is disputable; for this reason, chemical mechanics has made less progress in relation to these substances. it may not be superfluous here to remark, with respect to the conception of chemical affinity, that up to the present time gravity, electricity, and heat have all been applied to its elucidation. efforts have also been made to introduce the luminiferous ether into theoretical chemistry, and should that connection between the phenomena of light and electricity which was established by maxwell be worked out more in detail, doubtless these efforts to elucidate all or a great deal by the aid of luminiferous ether will again appear in theoretical chemistry. an independent chemical mechanics of the material particles of matter, and of their internal (atomic) changes, would, in my opinion, arise as the result of these efforts. two hundred years ago newton laid the foundation of a truly scientific theoretical mechanics of external visible motion, and on this foundation erected the edifice of celestial mechanics. one hundred years ago lavoisier arrived at the first fundamental law of the internal mechanics of invisible particles of matter. this subject is far from having been developed into a harmonious whole, because it is much more difficult, and, although many details have been completely investigated, it does not possess any starting points. newton only came after copernicus and kepler, who had discovered empirically the exterior simplicity of celestial phenomena. lavoisier and dalton may, in respect to the chemical mechanics of the molecular world, be compared to copernicus and kepler. but a newton has not yet appeared in the molecular world; when he does, i think that he will find the fundamental laws of the mechanics of the invisible motions of matter more easily and more quickly in the chemical structure of matter than in physical phenomena (of electricity, heat, and light); for these latter are accomplished by particles of matter already arranged, whilst it is now clear that the problem of chemical mechanics mainly lies in the apprehension of those motions which are invisibly accomplished by the smallest atoms of matter. as the chemical changes to which substances are liable proceed from internal forces proper to these substances, as chemical phenomena certainly consist of motions of material parts (from the laws of the indestructibility of matter and of elements), and as the investigation of mechanical and physical phenomena proves the law of the _indestructibility of forces_, or the conservation of energy--that is, the possibility of the transformation of one kind of motion into another (of visible or mechanical into invisible or physical)--we are inevitably obliged to acknowledge the presence in substances (and especially in the elements of which all others are composed) of a store of _chemical energy_ or invisible motion inducing them to enter into combinations. if heat be evolved in a reaction, it means that a portion of chemical energy is transformed into heat;[ ] if heat be absorbed in a reaction,[ ] that it is partly transformed (rendered latent) into chemical energy. the store of force or energy going to the formation of new compounds may, after several combinations, accomplished with an absorption of heat, at last diminish to such a degree that indifferent compounds will be obtained, although these sometimes, by combining with energetic elements or compounds, give more complex compounds, which may be capable of entering into chemical combination. among elements, gold, platinum, and nitrogen have but little energy, whilst potassium, oxygen, and chlorine have a very marked degree of energy. when dissimilar substances enter into combination they often form substances of diminished energy. thus sulphur and potassium when heated easily burn in air, but when combined together their compound is neither inflammable nor burns in air like its component parts. part of the energy of the potassium and of the sulphur was evolved in their combination in the form of heat. just as in the passage of substances from one physical state into another a portion of their store of heat is absorbed or evolved, so in combinations or decompositions and in every chemical process, there occurs a change in the store of chemical energy, and at the same time an evolution or absorption of heat.[ ] [ ] the theory of heat gave the idea of a store of internal motion or energy, and therefore with it, it became necessary to acknowledge chemical energy, but there is no foundation whatever for identifying heat energy with chemical energy. it may be supposed, but not positively affirmed, that heat motion is proper to molecules and chemical motion to atoms, but that as molecules are made up of atoms, the motion of the one passes to the other, and that for this reason heat strongly influences reaction and appears or disappears (is absorbed) in reactions. these relations, which are apparent and hardly subject to doubt on general lines, still present much that is doubtful in detail, because all forms of molecular and atomic motion are able to pass into each other. [ ] the reactions which take place (at the ordinary or at a high temperature) directly between substances may be clearly divided into exothermal, which are accompanied by an evolution of heat, and endothermal, which are accompanied by an absorption of heat. it is evident that the latter require a source of heat. they are determined either by the directly surrounding medium (as in the formation of carbon bisulphide from charcoal and sulphur, or in decompositions which take place at high temperatures), or else by a secondary reaction proceeding simultaneously, or by some other form of energy (light, electricity). so, for instance, hydrogen sulphide is decomposed by iodine in the presence of water at the expense of the heat which is evolved by the solution in water of the hydrogen iodide produced. this is the reason why this reaction, as exothermal, only takes place in the presence of water; otherwise it would be accompanied by a cooling effect. as in the combination of dissimilar substances, the bonds existing between the molecules and atoms of the homogeneous substances have to be broken asunder, whilst in reactions of rearrangement the formation of any one substance proceeds simultaneously with the formation of another, and, as in reactions, a series of physical and mechanical changes take place, it is impossible to separate the heat directly depending on a given reaction from the total sum of the observed heat effect. for this reason, thermochemical data are very complex, and cannot by themselves give the key to many chemical problems, as it was at first supposed they might. they ought to form a part of chemical mechanics, but alone they do not constitute it. [ ] as chemical reactions are effected by heating, so the heat absorbed by substances before decomposition or change of state, and called 'specific heat,' goes in many cases to the preparation, if it may be so expressed, of reaction, even when the limit of the temperature of reaction is not attained. the molecules of a substance a, which is not able to react on a substance b below a temperature _t_, by being heated from a somewhat lower temperature to _t_, undergoes that change which had to be arrived at for the formation of a b. for the comprehension of chemical phenomena as mechanical processes--_i.e._, the study of the _modus operandi_ of chemical phenomena--it is most important to consider: ( ) the facts gathered from stoïchiometry, or that part of chemistry which treats of the quantitative relation, by weight or volume, of the reacting substances; ( ) the distinction between the different forms and classes of chemical reactions; ( ) the study of the changes in properties produced by alteration in composition; ( ) the study of the phenomena which accompany chemical transformation; ( ) a generalisation of the conditions under which reactions occur. as regards stoïchiometry, this branch of chemistry has been worked out most thoroughly, and comprises laws (of dalton, avogadro-gerhardt, and others) which bear so deeply on all parts of chemistry that at the present time the chief problem of chemical research consists in the application of general stoïchiometrical laws to concrete examples, _i.e._, the quantitative (volumetric or gravimetric) composition of substances. all other branches of chemistry are clearly subordinate to this most important portion of chemical knowledge. even the very signification of reactions of combination, decomposition, and rearrangement, acquired, as we shall see, a particular and new character under the influence of the progress of exact ideas concerning the quantitative relations of substances entering into chemical changes. furthermore, in this sense there arose a new--and, till then, unknown--division of compound substances into _definite_ and _indefinite_ compounds. even at the beginning of this century, berthollet had not made this distinction. but prout showed that a number of compounds contain the substances of which they are they break up, in exact definite proportions by weight, which are unalterable under any conditions. thus, for example, red mercury oxide always contains sixteen parts by weight of oxygen for every parts by weight of mercury, which is expressed by the formula hgo. but in an alloy of copper and silver one or the other metal may be added at will, and in an aqueous solution of sugar, the relative proportion of the sugar and water may be altered and nevertheless a homogeneous whole with the sum of the independent properties will be obtained--_i.e._, in these cases there was indefinite chemical combination. although in nature and chemical practice the formation of indefinite compounds (such as alloys and solutions) plays as essential a part as the formation of definite chemical compounds, yet, as the stoïchiometrical laws at present apply chiefly to the latter, all facts concerning indefinite compounds suffer from inexactitude, and it is only during recent years that the attention of chemists has been directed to this province of chemistry. in chemical mechanics it is, from a qualitative point of view, very important to clearly distinguish at the very beginning between _reversible_ and _non-reversible reactions_. substances capable of reacting on each other at a certain temperature produce substances which at the same temperature either can or cannot give back the original substances. for example, salt dissolves in water at the ordinary temperature, and the solution so obtained is capable of breaking up at the same temperature, leaving salt and separating the water by evaporation. carbon bisulphide is formed from sulphur and carbon at about the same temperature at which it can be resolved into sulphur and carbon. iron, at a certain temperature, separates hydrogen from water, forming iron oxide, which, in contact with hydrogen at the same temperature, is able to produce iron and water. it is evident that if two substances, a and b, give two others c and d, and the reaction be reversible, then c and d will form a and b, and, consequently, by taking a definite mass of a and b, or a corresponding mass of c and d, we shall obtain, in each case, all four substances--that is to say, there will be a state of _chemical equilibrium_ between the reacting substances. by increasing the mass of one of the substances we obtain a new condition of equilibrium, so that reversible reactions present a means of studying the _influence of mass_ on the _modus operandi_ of chemical changes. many of those reactions which occur with very complicated compounds or mixtures may serve as examples of non-reversible reactions. thus many of the compound substances of animal and vegetable organisms are broken up by heat, but cannot be re-formed from their products of decomposition at any temperature. gunpowder, as a mixture of sulphur, nitre, and carbon, on being exploded, forms gases from which the original substances cannot be re-formed at any temperature. in order to obtain them, recourse must be had to an indirect method _of combination at the moment of separation_. if a does not under any circumstances combine directly with b, it does not follow that it cannot give a compound a b. for a can often combine with c and b with d, and if c has a great affinity for d, then the reaction of a c or b d produces not only c d, but also a b. as on the formation of c d, the substances a and b (previously in a c and b d) are left in a peculiar state of separation, it is supposed that their mutual combination occurs because they meet together in this _nascent state_ at the moment of separation (_in statu nascendi_). thus chlorine does not directly combine with charcoal, graphite, or diamond; there are, nevertheless, compounds of chlorine with carbon, and many of them are distinguished by their stability. they are obtained in the action of chlorine on hydrocarbons, as the separation products from the direct action of chlorine on hydrogen. chlorine takes up the hydrogen, and the carbon liberated at the moment of its separation, enters into combination with another portion of the chlorine, so that in the end the chlorine is combined with both the hydrogen and the carbon.[ ] [ ] it is possible to imagine that the cause of a great many of such reactions is, that substances taken in a separate state, for instance, charcoal, present a complex molecule composed of separate atoms of carbon which are fastened together (united, as is usually said) by a considerable affinity; for atoms of the same kind, just like atoms of different kinds, possess a mutual affinity. the affinity of chlorine for carbon, although unable to break this bond asunder, may be sufficient to form a stable compound with atoms of carbon, which are already separate. such a view of the subject presents a hypothesis which, although dominant at the present time, is without sufficiently firm foundation. it is evident, however, that not only does chemical reaction itself consist of motions, but that in the compound formed (in the molecules) the elements (atoms) forming it are in harmonious stable motion (like the planets in the solar system), and this motion will affect the stability and capacity for reaction, and therefore the mechanical side of chemical action must be exceedingly complex. just as there are solid, physically constant non-volatile substances like rock, gold, charcoal, &c., so are there stable and chemically constant bodies; while corresponding to physically volatile substances there are bodies like camphor, which are chemically unstable and variable. as regards those phenomena which accompany chemical action, the most important circumstance in reference to chemical mechanics is that not only do chemical processes produce a mechanical displacement (a motion of particles), heat, light, electrical potential and current; but that all these agents are themselves capable of changing and governing chemical transformations. this reciprocity or reversibility naturally depends on the fact that all the phenomena of nature are only different kinds and forms of visible and invisible (molecular) motions. first sound, and then light, was shown to consist of vibratory motions, as the laws of physics have proved and developed beyond a doubt. the connection between heat and mechanical motion and work has ceased to be a supposition, but has become an accepted fact, and the mechanical equivalent of heat ( kilogrammetres of mechanical work correspond with one kilogram unit of heat or calorie) gives a mechanical measure for thermal phenomena. although the mechanical theory of electrical phenomena cannot be considered so fully developed as the theory of heat, both statical and dynamical electricity are produced by mechanical means (in common electrical machines or in gramme or other dynamos), and conversely, a current (in electric motors) can produce mechanical motion. thus by connecting a current with the poles of a gramme dynamo it may be made to revolve, and, conversely, by rotating it an electrical current is produced, which demonstrates the reversibility of electricity into mechanical motion. accordingly chemical mechanics must look for the fundamental lines of its advancement in the correlation of chemical with physical and mechanical phenomena. but this subject, owing to its complexity and comparative novelty, has not yet been expressed by a harmonious theory, or even by a satisfactory hypothesis, and therefore we shall avoid lingering over it. a chemical change in a certain direction is accomplished not only by reason of the difference of masses, the composition of the substances concerned, the distribution of their parts, and their affinity or chemical energy, but also by reason of the _conditions_ under which the substances occur. in order that a certain chemical reaction may take place between substances which are capable of reacting on each other, it is often necessary to have recourse to conditions which are sometimes very different from those in which the substances usually occur in nature. for example, not only is the presence of air (oxygen) necessary for the combustion of charcoal, but the latter must also be heated to redness. the red-hot portion of the charcoal burns--_i.e._ combines with the oxygen of the atmosphere--and in so doing evolves heat, which raises the temperature of the adjacent parts of charcoal, so that they burn. just as the combustion of charcoal is dependent on its being heated to redness, so also every chemical reaction only takes place under certain physical, mechanical, or other conditions. the following are the chief conditions which exert an influence on the progress of chemical reactions. (_a_) _temperature._--chemical reactions of combination only take place within certain definite limits of temperature, and cannot be accomplished outside these limits. we may cite as examples not only that the combustion of charcoal begins at a red heat, but also that chlorine and salt only combine with water at a temperature below °. these compounds cannot be formed at a higher temperature, for they are then wholly or partially broken up into their component parts. a certain rise in temperature is necessary to start combustion. in certain cases the effect of this rise may be explained as causing one of the reacting bodies to change from a solid into a liquid or gaseous form. the transference into a fluid form facilitates the progress of the reaction, because it aids the intimate contact of the particles reacting on each other. another reason, and to this must be ascribed the chief influence of heat in exciting chemical action, is that the physical cohesion, or the internal chemical union, of homogeneous particles is thereby weakened, and in this way the separation of the particles of the original substances, and their transference into new compounds, is rendered easier. when a reaction absorbs heat--as in decomposition--the reason why heat is necessary is self-evident. at the present day it may be asserted upon the basis of existing data, respecting the action of high temperature, that all compound bodies are decomposed at a more or less high temperature. we have already seen examples of this in describing the decomposition of mercury oxide into mercury and oxygen, and the decomposition of wood under the influence of heat. many substances are decomposed at a very moderate temperature; for instance, the fulminating salt which is employed in cartridges is decomposed at a little above °. the majority of those compounds which make up the mass of animal and vegetable tissues are decomposed at °. on the other hand, there is reason to think that at a very low temperature no reaction whatever can take place. thus plants cease to carry on their chemical processes during the winter. raoul pictet ( ), employing the very low temperatures (as low as - °c.) obtained by the evaporation of liquefied gases (_see_ chap. ii.), has recently again proved that at temperatures below - °, even such reactions as those between sulphuric acid and caustic soda or metallic sodium do not take place, and even the coloration of litmus by acids only commences at temperatures above - °. if a given reaction does not take place at a certain low temperature, it will at first only proceed slowly with a rise of temperature (even if aided by an electric discharge), and will only proceed rapidly, with the evolution of heat, when a certain definite temperature has been reached. every chemical reaction requires certain limits of temperature for its accomplishment, and, doubtless, many of the chemical changes observed by us cannot take place in the sun, where the temperature is very high, or on the moon, where it is very low. the influence of heat on reversible reactions is particularly instructive. if, for instance, a compound which is capable of being reproduced from its products of decomposition be heated up to the temperature at which decomposition begins, the decomposition of a mass of the substance contained in a definite volume is not immediately completed. only a certain fraction of the substance is decomposed, the other portion remaining unchanged, and if the temperature be raised, the quantity of the substance decomposed increases; furthermore, for a given volume, the ratio between the part decomposed and the part unaltered corresponds with each definite rise in temperature until it reaches that at which the compound is entirely decomposed. this partial decomposition under the influence of heat is called _dissociation_. it is possible to distinguish between the temperatures at which dissociation begins and ends. should dissociation proceed at a certain temperature, yet should the product or products of decomposition not remain in contact with the still undecomposed portion of the compound, then decomposition will go on to the end. thus limestone is decomposed in a limekiln into lime and carbonic anhydride, because the latter is carried off by the draught of the furnace. but if a certain mass of limestone be enclosed in a definite volume--for instance, in a gun barrel--which is then sealed up, and heated to redness, then, as the carbonic anhydride cannot escape, a certain proportion only of the limestone will be decomposed for every increment of heat (rise in temperature) higher than that at which dissociation begins. decomposition will cease when the carbonic anhydride evolved presents a maximum _dissociation pressure_ corresponding with each rise in temperature. if the pressure be increased by increasing the quantity of gas, then combination begins afresh; if the pressure be diminished decomposition will recommence. decomposition in this case is exactly similar to evaporation; if the steam given off by evaporation cannot escape, its pressure will reach a maximum corresponding with the given temperature, and then evaporation will cease. should steam be added it will be condensed in the liquid; if its quantity be diminished--_i.e._ if the pressure be lessened, the temperature being constant--then evaporation will go on. we shall afterwards discuss more fully these phenomena of dissociation, which were first discovered by henri st. claire deville. we will only remark that the products of decomposition re-combine with greater facility the nearer their temperature is to that at which dissociation begins, or, in other words, that the initial temperature of dissociation is near to the initial temperature of combination. (_b_) _the influence of an electric current_, and of electricity in general, on the progress of chemical transformations is very similar to the influence of heat. the majority of compounds which conduct electricity are decomposed by the action of a galvanic current, and as there is great similarity in the conditions under which decomposition and combination proceed, combination often proceeds under the influence of electricity. electricity, like heat, must be regarded as a peculiar form of molecular motion, and all that refers to the influence of heat also refers to the phenomena produced by the action of an electrical current, with this difference, only that a substance can be separated into its component parts with much greater ease by electricity, since the process goes on at the ordinary temperature. the most stable compounds may be decomposed by this means, and a most important fact is then observed--namely, that the component parts appear at the different poles of electrodes by which the current passes through the substance. those substances which appear at the positive pole (anode) are called 'electro-negative,' and those which appear at the negative pole (cathode, that in connection with the zinc of an ordinary galvanic battery) are called 'electro-positive.' the majority of non-metallic elements, such as chlorine, oxygen, &c., and also acids and substances analogous to them, belong to the first group, whilst the metals, hydrogen, and analogous products of decomposition appear at the negative pole. chemistry is indebted to the decomposition of compounds by the electric current for many most important discoveries. many elements have been discovered by this method, the most important being potassium and sodium. lavoisier and the chemists of his time were not able to decompose the oxygen compounds of these metals, but davy showed that they might be decomposed by an electric current, the metals sodium and potassium appearing at the negative pole. now that the dynamo gives the possibility of producing an electric current by the combustion of fuel, this method of sir h. davy is advantageously employed for obtaining metals, &c. on a large scale, for instance, sodium from fused caustic soda or chlorine from solutions of salt. (_c_) certain unstable compounds are also decomposed by _the action of light_. photography is based on this property in certain substances (for instance, in the salts of silver). the mechanical energy of those vibrations which determine the phenomena of light is very small, and therefore only certain, and these generally unstable, compounds can be decomposed by light--at least under ordinary circumstances. but there is one class of chemical phenomena dependent on the action of light which forms as yet an unsolved problem in chemistry--these are the processes accomplished in plants under the influence of light. here there take place most unexpected decompositions and combinations, which are often unattainable by artificial means. for instance, carbonic anhydride, which is so stable under the influence of heat and electricity, is decomposed and evolves oxygen in plants under the influence of light. in other cases, light decomposes unstable compounds, such as are usually easily decomposed by heat and other agents. chlorine combines with hydrogen under the influence of light, which shows that combination, as well as decomposition, can be determined by its action, as was likewise the case with heat and electricity. (_d_) _mechanical causes_ exert, like the foregoing agents, an action both on the process of chemical combination and of decomposition. many substances are decomposed by friction or by a blow--as, for example, the compound called iodide of nitrogen (which is composed of iodine, nitrogen, and hydrogen), and silver fulminate. mechanical friction causes sulphur to burn at the expense of the oxygen contained in potassium chlorate. pressure affects both the physical and chemical state of the reacting substances, and, together with the temperature, determines the state of a substance. this is particularly evident when the substance occurs in an elastic-gaseous form since the volume, and hence also the number of points of encounter between the reacting substances is greatly altered by a change of pressure. thus, under equal conditions of temperature, hydrogen when compressed acts more powerfully upon iodine and on the solutions of many salts. (_e_) besides the various conditions which have been enumerated above, the progress of chemical reactions is accelerated or retarded by the _condition of contact_ in which the reacting bodies occur. other conditions remaining constant, the rate of progress of a chemical reaction is accelerated by increasing the number of points of contact. it will be enough to point out the fact that sulphuric acid does not absorb ethylene under ordinary conditions of contact, but only after continued shaking, by which means the number of points of contact is greatly increased. to ensure complete action between solids, it is necessary to reduce them to very fine powder and to mix them as thoroughly as possible. m. spring, the belgian chemist, has shown that finely powdered solids which do not react on each other at the ordinary temperature may do so under an increased pressure. thus, under a pressure of , atmospheres, sulphur combines with many metals at the ordinary temperature, and mixtures of the powders of many metals form alloys. it is evident that an increase in the number of points or surfaces must be regarded as the chief cause producing reaction, which is doubtless accomplished in solids, as in liquids and gases, in virtue of an internal motion of the particles, which motion, although in different degrees and forms, must exist in all the states of matter. it is very important to direct attention to the fact that the internal motion or condition of the parts of the particles of matter must be different on the surface of a substance from what it is inside; because in the interior of a substance similar particles are acting on all sides of every particle, whilst at the surface they act on one side only. therefore, the condition of a substance at its surfaces of contact with other substances must be more or less modified by them--it may be in a manner similar to that caused by an elevation of temperature. these considerations throw some light on the action in the large class of _contact reactions_; that is, such as appear to proceed from the mere presence (contact) of certain special substances. porous or powdery substances are very prone to act in this way, especially spongy platinum and charcoal. for example, sulphurous anhydride does not combine directly with oxygen, but this reaction takes place in the presence of spongy platinum.[ ] [ ] contact phenomena are separately considered in detail in the work of professor konovaloff ( ). in my opinion, it must be held that the state of the internal motions of the atoms in molecules is modified at the points of contact of substances, and this state determines chemical reactions, and therefore, that reactions of combination, decomposition, and rearrangement are accomplished by contact. professor konovaloff showed that a number of substances, under certain conditions of their surfaces, act by contact; for instance, finely divided silica (from the hydrate) acts just like platinum, decomposing certain compound ethers. as reactions are only accomplished under close contact, it is probable that those modifications in the distribution of the atoms in molecules which come about by contact phenomena prepare the way for them. by this the _rôle_ of contact phenomena is considerably extended. such phenomena should explain the fact why a mixture of hydrogen and oxygen yields water (explodes) at different temperatures, according to the kind of heated substance which transmits this temperature. in chemical mechanics, phenomena of this kind have great importance, but as yet they have been but little studied. it must not be forgotten that contact is a necessary condition for every chemical reaction. the above general and introductory chemical conceptions cannot be thoroughly grasped in their true sense without a knowledge of the particular facts of chemistry to which we shall now turn our attention. it was, however, absolutely necessary to become acquainted on the very threshold with such fundamental principles as the laws of the indestructibility of matter and of the conservation of energy, since it is only by their acceptance, and under their direction and influence, that the examination of particular facts can give practical and fruitful results. chapter i on water and its compounds water is found almost everywhere in nature, and in all three physical states. as vapour, water occurs in the atmosphere, and in this form it is distributed over the entire surface of the earth. the vapour of water in condensing, by cooling, forms snow, rain, hail, dew, and fog. one cubic metre (or , , cubic centimetres, or , litres, or · cubic feet) of air can contain at ° only · grams of water, at ° about · grams, at ° about · grams; but ordinary air only contains about per cent. of this maximum. air containing less than per cent. is felt to be dry, whilst air which contains more than per cent. of the same maximum is considered as distinctly damp.[ ] water in the liquid state, in falling as rain and snow, soaks into the soil and collects together into springs, lakes, rivers, seas, and oceans. it is absorbed from the soil by the roots of plants, which, when fresh, contain from to per cent. of water by weight. animals contain about the same amount of water. in a solid state, water appears as snow, ice, or in an intermediate form between these two, which is seen on mountains covered with perpetual snow. the water of rivers,[ ] springs, oceans and seas, lakes, and wells contains various substances in solution mostly salt,--that is, substances resembling common table salt in their physical properties and chief chemical transformations. further, the quantity and nature of these salts differ in different waters.[ ] everybody knows that there are salt, fresh, iron, and other waters. the presence of about - / per cent. of salts renders sea-water[ ] bitter to the taste and increases its specific gravity. fresh water also contains salts, but only in a comparatively small quantity. their presence may be easily proved by simply evaporating water in a vessel. on evaporation the water passes away as vapour, whilst the salts are left behind. this is why a crust (incrustation), consisting of salts, previously in solution, is deposited on the insides of kettles or boilers, and other vessels in which water is boiled. running water (rivers, &c.) is charged with salts, owing to its being formed from the collection of rain water percolating through the soil. while percolating, the water dissolves certain parts of the soil. thus water which filters or passes through saline or calcareous soils becomes charged with salts or contains calcium carbonate (chalk). rain water and snow are much purer than river or spring water. nevertheless, in passing through the atmosphere, rain and snow succeed in catching the dust held in it, and dissolve air, which is found in every water. the dissolved gases of the atmosphere are partly disengaged, as bubbles from water on heating, and water after long boiling is quite freed from them. [ ] in practice, the chemist has to continually deal with gases, and gases are often collected over water; in which case a certain amount of water passes into vapour, and this vapour mixes with the gases. it is therefore most important that he should be able to calculate the amount of water or of _moisture in air and other gases_. let us imagine a cylinder standing in a mercury bath, and filled with a dry gas whose volume equals _v_, temperature _t_°, and pressure or tension _h_ mm. (_h_ millimetres of the column of mercury at °). we will introduce water into the cylinder in such a quantity that a small part remains in the liquid state, and consequently that the gas will be saturated with aqueous vapour; the volume of the gas will then increase (if a larger quantity of water be taken some of the gas will he dissolved in it, and the volume may therefore he diminished). we will further suppose that, after the addition of the water, the temperature remains constant; then since the volume increases, the mercury in the cylinder falls, and therefore the pressure as well as the volume is increased. in order to investigate the phenomenon we will artificially increase the pressure, and reduce the volume to the original volume _v_. then the pressure or tension will be greater than _h_, namely _h_ + _f_, which means that by the introduction of aqueous vapour the pressure of the gas is increased. the researches of dalton, gay-lussac, and regnault showed that this increase is equal to the maximum pressure which is proper to the aqueous vapour at the temperature at which the observation is made. the maximum pressure for all temperatures may be found in the tables made from observations on the pressure of aqueous vapour. the quantity _f_ will be equal to this maximum pressure of aqueous vapour. this may be expressed thus: the maximum tension of aqueous vapour (and of all other vapours) saturating a space in a vacuum or in any gas is the same. this rule is known as _dalton's law_. thus we have a volume of dry gas _v_, under a pressure _h_, and a volume of moist gas, saturated with vapour, under a pressure _h_ + _f_. the volume _v_ of the dry gas under a pressure _h_ + _f_ occupies, from boyle's law, a volume _vh_/_h_ + _f_; consequently the volume occupied by the aqueous vapour under the pressure _h_ + _f_ equals _v_-_vh_/(_h_ + _f_), or _vf_/(_h_ + _f_). thus the volumes of the dry gas and of the moisture which occurs in it, at a pressure _h_ + _f_, are in the ratio _f_ : _h_. and, therefore, if the aqueous vapour saturates a space at a pressure _n_, the volumes of the dry air and of the moisture which is contained in it are in the ratio (_n_-_f_) : _f_, where _f_ is the pressure of the vapour according to the tables of vapour tension. thus, if a volume n of a gas saturated with moisture be measured at a pressure h, then the volume of the gas, when dry, will be equal to n[(h-f)/h]. in fact, the entire volume n must be to the volume of dry gas _x_ as h is to h-_f_; therefore, n : _x_ = h : h-_f_, from which _x_ = n[(h-f)/h]. under any other pressure--for instance, mm.--the volume of dry gas will be _x_h/ , or (h-_f_)/ , and we thus obtain the following practical rule: if a volume of a gas saturated with aqueous vapour be measured at a pressure h mm., then the volume of dry gas contained in it will be obtained by finding the volume corresponding to the pressure h, less the pressure due to the aqueous vapour at the temperature observed. for example, · cubic centimetres of air saturated with aqueous vapour were measured at a temperature of · °, and under a pressure of · mm. of mercury (at °). what will be the volume of dry gas at ° and mm.? the pressure of aqueous vapour corresponding to · ° is equal to · mm., and therefore the volume of dry gas at · ° and · mm. is equal to · × ( · - · )/ · ; at mm. it will be equal to · × ( · / ); and at ° the volume of dry gas will be · × ( · / ) × /( + · ) = · c.c. from this rule may also be calculated what fraction of a volume of gas is occupied by moisture under the ordinary pressure at different temperatures; for instance, at ° c. _f_ = · , consequently volumes of a moist gas or air, at mm., contain a volume of aqueous vapour × ( · / ), or · ; it is also found that at ° there is contained · p.c. by volume, at ° · p.c., at ° · p.c., and at ° up to · p.c. from this it may be judged how great an error might be made in the measurement of gases by volume if the moisture were not taken into consideration. from this it is also evident how great are the variations in volume of the atmosphere when it loses or gains aqueous vapour, which again explains a number of atmospheric phenomena (winds, variation of pressure, rainfalls, storms, &c.) if a gas is not saturated, then it is indispensable that the degree of moisture should be known in order to determine the volume of dry gas from the volume of moist gas. the preceding ratio gives the maximum quantity of water which can be held in a gas, and the degree of moisture shows what fraction of this maximum quantity occurs in a given case, when the vapour does not saturate the space occupied by the gas. consequently, if the degree of moisture equals p.c.--that is, half the maximum--then the volume of dry gas at mm. is equal to the volume of dry gas at mm. multiplied by (_h_- · _f_)/ , or, in general, by (_h_-_rf_)/ where _r_ is the degree of moisture. thus, if it is required to measure the volume of a moist gas, it must either be thoroughly dried or quite saturated with moisture, or else the degree of moisture determined. the first and last methods are inconvenient, and therefore recourse is usually had to the second. for this purpose water is introduced into the cylinder holding the gas to be measured; it is left for a certain time so that the gas may become saturated, the precaution being taken that a portion of the water remains in a liquid state; then the volume of the moist gas is determined, from which that of the dry gas may be calculated. in order to find the _weight of the aqueous vapour_ in a gas it is necessary to know the weight of a cubic measure at ° and mm. knowing that one cubic centimetre of air in these circumstances weighs · gram, and that the density of aqueous vapour is · , we find that one cubic centimetre of aqueous vapour at ° and mm. weighs · gram, and at a temperature _t_° and pressure _h_ the weight of one cubic centimetre will be · × _h_/ × /( + _t_). we already know that _v_ volumes of a gas at a temperature _t_° pressure _h_ contain _v_ × _f_/_h_ volumes of aqueous vapour which saturate it, therefore the weight of the aqueous vapour held in _v_ volumes of a gas will be _v_ x · × _f_/ × /( + _t_). accordingly, the weight of water which is contained in one volume of a gas depends only on the temperature and not on the pressure. this also signifies that evaporation proceeds to the same extent in air as in a vacuum, or, in general terms (this is _dalton's law_), vapours and gases diffuse into each other as if into a vacuum. in a given space, at a given temperature, a constant quantity of vapour enters, whatever be the pressure of the gas filling that space. from this it is clear that if the weight of the vapour contained in a given volume of a gas be known, it is easy to determine the degree of moisture _r_ = _p_/(_v_ × · ) × /_t_ × ( + _t_)/ . on the is founded the very exact determination of the degree of moisture of air by the weight of water contained in a given volume. it is easy to calculate from the preceding formula the number of grams of water contained at any pressure in one cubic metre or million cubic centimetres of air saturated with vapour at various temperatures; for instance, at ° _f_ = · , hence _p_ = · grams. the laws of mariotte, dalton, and gay-lussac, which are here applied to gases and vapours, are not entirely exact, but are approximately true. if they were quite exact, a mixture of several liquids, having a certain vapour pressure, would give vapours of a very high pressure, which is not the case. in fact the pressure of aqueous vapour is slightly less in a gas than in a vacuum, and the weight of aqueous vapour held in a gas is slightly less than it should be according to dalton's law, as was shown by the experiments of regnault and others. this means that the tension of the vapour is less in air than in a vacuum. the difference does not, however, exceed per cent. of the total pressure of the vapours. this _decrement in vapour tension_ which occurs in the intermixture of vapours and gases, although small, indicates that there is then already, so to speak, a beginning of chemical change. the essence of the matter is that in this case there occurs, as on contact (see preceding footnote), an alteration in the motions of the atoms in the molecules, and therefore also a change in the motion of the molecules themselves. in the uniform intermixture of air and other gases with aqueous vapour, and in the capacity of water to pass into vapour and form a uniform mixture with air, we may perceive an instance of a physical phenomenon which is analogous to chemical phenomena, forming indeed a transition from one class of phenomena to the other. between water and dry air there exists a kind of affinity which obliges the water to saturate the air. but such a homogeneous mixture is formed (almost) independently of the nature of the gas in which evaporation takes place; even in a vacuum the phenomenon occurs in exactly the same way as in a gas, and therefore it is not the property of the gas, nor its relation to water, but the property of the water itself, which compels it to evaporate, and therefore in this case chemical affinity is not yet operative--at least its action is not clearly pronounced. that it does, however, play a certain part is seen from the deviation from dalton's law. [ ] in falling through the atmosphere, water dissolves the gases of the atmosphere, nitric acid, ammonia, organic compounds, salts of sodium, magnesium, and calcium, and mechanically washes out a mixture of dust and microbes which are suspended in the atmosphere. the amount of these and certain other constituents is very variable. even in the beginning and end of the same rainfall a variation which is often very considerable may be remarked. thus, for example, bunsen found that rain collected at the beginning of a shower contained · grams of ammonia per cubic metre, whilst that collected at the end of the same shower contained only o· gram. the water of the entire shower contained an average of · gram of ammonia per cubic metre. in the course of a year rain supplies an acre of ground with as much as - / kilos of nitrogen in a combined form. marchand found in one cubic metre of snow water · , and in one cubic metre of rain water · , grams of sodium sulphate. angus smith showed that after a thirty hours' fall at manchester the rain still contained · grams of salts per cubic metre. a considerable amount of organic matter, namely grams per cubic metre, has been found in rain water. the total amount of solid matter in rain water reaches grams per cubic metre. rain water generally contains very little carbonic acid, whilst river water contains a considerable quantity of it. in considering the nourishment of plants it is necessary to keep in view the substances which are carried into the soil by rain. _river water_, which is accumulated from springs and sources fed by atmospheric water, contains from to , parts by weight of salts in , , parts. the amount of solid matter, per , , parts by weight, contained in the chief rivers is as follows:--the don , the loire , the st. lawrence , the rhone , the dnieper , the danube from to , the rhine from to , the seine from to , the thames at london from to , in its upper parts , and in its lower parts up to , , the nile , , the jordan , . the neva is characterised by the remarkably small amount of solid matter it contains. from the investigations of prof. g. k. trapp, a cubic metre of neva water contains grams of incombustible and grams of organic matter, or altogether about grams. this is one of the purest waters which is known in rivers. the large amount of impurities in river water, and especially of organic impurity produced by pollution with putrid matter, makes the water of many rivers unfit for use. the chief part of the soluble substances in river water consists of the calcium salts. parts of the solid residues contain the following amounts of calcium carbonate--from the water of the loire , from the thames about , the elbe , the vistula , the danube , the rhine from to , the seine , the rhone from to . the neva contains parts of calcium carbonate per parts of saline matter. the considerable amount of calcium carbonate which river water contains is very easily explained from the fact that water which contains carbonic acid in solution easily dissolves calcium carbonate, which occurs all over the earth. besides calcium carbonate and sulphate, river water contains magnesium, silica, chlorine, sodium, potassium, aluminium, nitric acid, iron and manganese. the presence of salts of phosphoric acid has not yet been determined with exactitude for all rivers, but the presence of nitrates has been proved with certainty in almost all kinds of well-investigated river water. the quantity of calcium phosphate does not exceed · gram in the water of the dnieper, and the don does not contain more than grams. the water of the seine contains about grams of nitrates, and that of the rhone about grams. the amount of ammonia is much less; thus in the water of the rhine about · gram in june, and · gram in october; the water of the seine contains the same amount. this is less than in rain water. notwithstanding this insignificant quantity, the water of the rhine alone, which is not so very large a river, carries , kilograms of ammonia into the ocean every day. the difference between the amount of ammonia in rain and river water depends on the fact that the soil through which the rain water passes is able to retain the ammonia. (soil can also absorb many other substances, such as phosphoric acid, potassium salts, &c.) the waters of springs, rivers, wells, and in general of those localities from which it is taken for drinking purposes, may be injurious to health if it contains much organic pollution, the more so as in such water the lower organisms (bacteria) may rapidly develop, and these organisms often serve as the carriers or causes of infectious diseases. for instance, certain pathogenic (disease-producing) bacteria are known to produce typhoid, the siberian plague, and cholera. thanks to the work of pasteur, metchnikoff, koch, and many others, this province of research has made considerable progress. it is possible to investigate the number and properties of the germs in water. in bacteriological researches a gelatinous medium in which the germs can develop and multiply is prepared with gelatin and water, which has previously been heated several times, at intervals, to ° (it is thus rendered sterile--that is to say, all the germs in it are killed). the water to be investigated is added to this prepared medium in a definite and small quantity (sometimes diluted with sterilised water to facilitate the calculation of the number of germs), it is protected from dust (which contains germs), and is left at rest until whole families of lower organisms are developed from each germ. these families (colonies) are visible to the naked eye (as spots), they may be counted, and by examining them under the microscope and observing the number of organisms they produce, their significance may be determined. the majority of bacteria are harmless, but there are decidedly pathogenic bacteria, whose presence is one of the causes of malady and of the spread of certain diseases. the number of bacteria in one cubic centimetre of water sometimes attains the immense figures of hundreds of thousands and millions. certain well, spring, and river waters contain very few bacteria, and are free from disease-producing bacteria under ordinary circumstances. by boiling water, the bacteria in it are killed, but the organic matter necessary for their nourishment remains in the water. the best kinds of water for drinking purposes do not contain more than bacteria in a cubic centimetre. the amount of gases dissolved in river water is much more constant than that of its solid constituents. one litre, or , c.c., of water contains to c.c. of gas measured at normal temperature and pressure. in winter the amount of gas is greater than in summer or autumn. assuming that a litre contains c.c. of gases, it may be admitted that these consist, on an average, of vols. of nitrogen, vols of carbonic anhydride (proceeding in all likelihood from the soil and not from the atmosphere), and of vols. of oxygen. if the total amount of gases be less, the constituent gases are still in about the same proportion; in many cases, however, carbonic anhydride predominates. the water of many deep and rapid rivers contains less carbonic anhydride, which shows their rapid formation from atmospheric water, and that they have not succeeded, during a long and slow course, in absorbing a greater quantity of carbonic anhydride. thus, for instance, the water of the rhine, near strasburg, according to deville, contains c.c. of carbonic anhydride, c.c. of nitrogen, and c.c. of oxygen per litre. from the researches of prof. m. r. kapoustin and his pupils, it appears that in determining the quality of a water for drinking purposes, it is most important to investigate the composition of the dissolved gases, more especially oxygen. [ ] _spring water_ is formed from rain water percolating through the soil. naturally a part of the rain water is evaporated directly from the surface of the earth and from the vegetation on it. it has been shown that out of parts of water falling on the earth only parts flow to the ocean; the remaining are evaporated, or percolate far underground. after flowing underground along some impervious strata, water comes out at the surface in many places as springs, whose temperature is determined by the depth from which the water has flowed. springs penetrating to a great depth may become considerably heated, and this is why hot mineral springs, with a temperature of up to ° and higher, are often met with. when a spring water contains substances which endow it with a peculiar taste, and especially if these substances are such as are only found in minute quantities in river and other flowing waters, then the spring water is termed a _mineral water_. many such waters are employed for medicinal purposes. mineral waters are classed according to their composition into--(_a_) saline waters, which often contain a large amount of common salt; (_b_) alkaline waters, which contain sodium carbonate; (_c_) bitter waters, which contain magnesia; (_d_) chalybeate waters, which hold iron carbonate in solution; (_e_) aërated waters, which are rich in carbonic anhydride; (_f_) sulphuretted waters, which contain hydrogen sulphide. sulphuretted waters may be recognised by their smell of rotten eggs, and by their giving a black precipitate with lead salts, and also by their tarnishing silver objects. aërated waters, which contain an excess of carbonic anhydride, effervesce in the air, have a sharp taste, and redden litmus paper. saline waters leave a large residue of soluble solid matter on evaporation, and have a salt taste. chalybeate waters have an inky taste, and are coloured black by an infusion of galls; on being exposed to the air they usually give a brown precipitate. generally, the character of mineral waters is mixed. in the table below the analyses are given of certain mineral springs which are valued for their medicinal properties. the quantity of the substances is expressed in millionths by weight. column headings: a: calcium salts b: sodium chloride c: sodium sulphate d: sodium carbonate e: potassium iodide and bromide +-------+-------+--------+-------+-------+-----+------+ | | | | | | | | | | [a] | [b] | [c] | [d] | [e] | [f] | | | | | | | | | +-------+-------+--------+-------+-------+-----+------+ | | | | | | | | | i. | , | -- | | -- | -- | | | ii. | | | , | | -- | | | iii. | , | , | , | -- | | | | iv. | | , | | , | -- | | | v. | , | , | -- | -- | | -- | | vi. | | , | -- | | | | | vii. | | , | , | , | | | | viii. | , | , | -- | -- | | | | ix. | | , | , | | -- | | | x. | | | | , | -- | -- | | | | | | | | | | xi. | | | iron and aluminium { , | | | | | sulphates: { , | +-------+-------+--------+----------------------------+ column headings: g: iron carbonate h: magnesium salts i: silica j: carbonic anhydride k: sulphuretted hydrogen l: total solid contents +-------+------+-------+-----+-------+-----+-----------+ | | | | | | | | | | [g] | [h] | [i] | [j] | [k] | [l] | +-------+------+-------+-----+-------+-----+-----------+ | | | | | | | | | i. | -- | | | , | | , | | ii. | | | | , | -- | , | | iii. | -- | | | , | | , | | iv. | -- | | | , | -- | , | | v. | | , | | -- | | , | | vi. | | | | | -- | , | | vii. | | | | -- | -- | , | | viii. | | | | -- | -- | , | | ix. | | | | , | -- | , | | x. | | | | , | -- | , | | | | | | {sulphuric | | xi. | | | | , {and hydrochloric | | | | | | {acids | +-------+------+-------+-----+-------------------------+ i. sergieffsky, a sulphur water, gov. of samara (temp. ° c.), analysis by clause. ii. geléznovodskya water source no. , near patigorsk, caucasus (temp. · °), analysis by fritzsche. iii. aleksandroffsky, alkaline-sulphur source, patigorsk (temp. · °), average of analyses by herman, zinin and fritzsche. iv. bougountouksky, alkaline source, no. , essentoukah, caucasus (temp. · °), analysis by fritzsche. v. saline water, staro-russi, gov. of novgorod, analysis by nelubin. vi. water from artesian well at the factory of state papers, st. petersburg, analysis by struve. vii. sprüdel, carlsbad (temp. · °), analysis by berzelius. viii. kreuznach spring (elisenquelle), prussia (temp. · °), analysis by bauer. ix. eau de seltz, nassau, analysis by henry. x. vichy water, france, analysis by berthier and puvy. xi. paramo de ruiz, new granada, analysis by levy; it is distinguished by the amount of free acids. [ ] _sea water_ contains more non-volatile saline constituents than the usual kinds of fresh water. this is explained by the fact that the waters flowing into the sea supply it with salts, and whilst a large quantity of vapour is given off from the surface of the sea, the salts remain behind. even the specific gravity of sea water differs considerably from that of pure water. it is generally about · , but in this and also in respect of the amount of salts contained, samples of sea water from different localities and from different depths offer rather remarkable variations. it will be sufficient to point out that one cubic metre of water from the undermentioned localities contains the following quantity in grams of solid constituents:--gulf of venice, , ; leghorn harbour , ; mediterranean, near cetta, , ; the atlantic ocean from , to , ,; the pacific ocean from , to , . in closed seas which do not communicate, or are in very distant communication, with the ocean, the difference is often still greater. thus the caspian sea contains , grams; the black sea and baltic , . common salt forms the chief constituent of the saline matter of sea or ocean water; thus in one cubic metre of sea water there are , - , grams of common salt, , - , grams of magnesium chloride, , - , grams of magnesium sulphate, , - , grams of calcium sulphate, and - grams of potassium chloride. the small amount of organic matter and of the salts of phosphoric acid in sea water is very remarkable. sea water (the composition of which is partially discussed in chapter x.) contains, in addition to salts of common occurrence, a certain and sometimes minute amount of the most varied elements, even gold and silver, and as the mass of water of the oceans is so enormous these 'traces' of rare substances amount to large quantities, so that it may be hoped that in time methods will be found to extract even gold from sea water, which by means of the rivers forms a vast reservoir for the numerous products of the changes taking place on the earth's surface. the works of english, american, german, russian, swedish, and other navigators and observers prove that a study of the composition of sea water not only explains much in the history of the earth's life, but also gives the possibility (especially since the researches of c. o. makaroff of the st. petersburg academy) of fixing one's position in the ocean in the absence of other means, for instance, in a fog, or in the dark. in general terms water is called pure when it is clear and free from insoluble particles held in suspension and visible to the naked eye, from which it may be freed by filtration through charcoal, sand, or porous (natural or artificial) stones, and when it possesses a clean fresh taste. it depends on the absence of any taste, decomposing organic matter, on the quantity of air[ ] and atmospheric gases in solution, and on the presence of mineral substances to the amount of about grams per ton (or kilograms per cubic metre, or, what is the same, milligrams to a kilogram or a litre of water), and of not more than grams of organic matter.[ ] such water is suitable for drinking and every practical application, but evidently it is not pure in a chemical sense. a _chemically pure water_ is necessary not only for scientific purposes, as an independent substance having constant and definite properties, but also for many practical purposes--for instance, in photography and in the preparation of medicines--because many properties of substances in solution are changed by the impurities of natural waters. water is usually purified by distillation, because the solid substances in solution are not transformed into vapours in this process. such _distilled_ water is prepared by chemists and in laboratories by boiling water in closed metallic boilers or stills, and causing the steam produced to pass into a condenser--that is, through tubes (which should be made of tin, or, at all events, tinned, as water and its impurities do not act on tin) surrounded by cold water, and in which the steam, being cooled, condenses into water which is collected[ ] in a receiver. by standing exposed to the atmosphere, however, the water in time absorbs air, and dust carried in the air. nevertheless, in distillation, water retains, besides air, a certain quantity of volatile impurities (especially organic) and the walls of the distillation apparatus are partly corroded by the water, and a portion, although small, of their substance renders the water not entirely pure, and a residue is left on evaporation.[ ] [ ] the taste of water is greatly dependent on the quantity of dissolved gases it contains. these gases are given off on boiling, and it is well known that, even when cooled, boiled water has, until it has absorbed gaseous substances from the atmosphere, quite a different taste from fresh water containing a considerable amount of gas. the dissolved gases, especially oxygen and carbonic anhydride, have an important influence on the health. the following instance is very instructive in this respect. the grenelle artesian well at paris, when first opened, supplied a water which had an injurious effect on men and animals. it appeared that this water did not contain oxygen, and was in general very poor in gases. as soon as it was made to fall in a cascade, by which it absorbed air, it proved quite fit for consumption. in long sea voyages fresh water is sometimes not taken at all, or only taken in a small quantity, because it spoils by keeping, and becomes putrid from the organic matter it contains undergoing decomposition. fresh water may he obtained directly from sea-water by distillation. the distilled water no longer contains sea salts, and is therefore fit for consumption, but it is very tasteless and has the properties of boiled water. in order to render it palatable certain salts, which are usually held in fresh water, are added to it, and it is made to flow in thin streams exposed to the air in order that it may become saturated with the component parts of the atmosphere--that is, absorb gases. [ ] _hard water_ is such as contains much mineral matter, and especially a large proportion of calcium salts. such water, owing to the amount of lime it contains, does not form a lather with soap, prevents vegetables boiled in it from softening properly, and forms a large amount of incrustation on vessels in which it is boiled. when of a high degree of hardness, it is injurious for drinking purposes, which is evident from the fact that in several large cities the death-rate has been found to decrease after introducing a soft water in the place of a hard water. _putrid water_ contains a considerable quantity of decomposing organic matter, chiefly vegetable, but in populated districts, especially in towns, chiefly animal remains. such water acquires an unpleasant smell and taste, by which stagnant bog water and the water of certain wells in inhabited districts are particularly characterised. water of this kind is especially injurious at a period of epidemic. it may be partially purified by being passed through charcoal, which retains the putrid and certain organic substances, and also certain mineral substances. turbid water may be purified to a certain extent by the addition of alum, which aids, after standing some time, the formation of a sediment. condy's fluid (potassium permanganate) is another means of purifying putrid water. a solution of this substance, even if very dilute, is of a red colour; on adding it to a putrid water, the permanganate oxidises and destroys the organic matter. when added to water in such a quantity as to impart to it an almost imperceptible rose colour it destroys much of the organic substances it contains. it is especially salutary to add a small quantity of condy's fluid to impure water in times of epidemic. the presence in water of one gram per litre, or , grams per cubic metre, of any substance whatsoever, renders it unfit and even injurious for consumption by animals, and this whether organic or mineral matter predominates. the presence of p.c. of chlorides makes water quite salt, and produces thirst instead of assuaging it. the presence of magnesium salts is most unpleasant; they have a disagreeable bitter taste, and, in fact, impart to sea water its peculiar taste. a large amount of nitrates is only found in impure water, and is usually injurious, as they may indicate the presence of decomposing organic matter. [ ] [illustration: fig. .--distillation by means of a metallic still. the liquid in c is heated by the fire f. the vapours rise through the head a and pass by the tube t to the worm s placed in a vessel r, through which a current of cold water flows by means of the tubes d and p.] distilled water may be prepared, or distillation in general carried on, either in a metal still with worm condenser (fig. ) or on a small scale in the laboratory in a glass retort (fig. ) heated by a lamp. fig. illustrates the main parts of the usual glass laboratory apparatus used for distillation. the steam issuing from the retort (on the right-hand side) passes through a glass tube surrounded by a larger tube, through which a stream of cold water passes, by which the steam is condensed, and runs into a receiver (on the left-hand side). [illustration: fig. .--distillation from a glass retort. the neck of the retort fits into the inner tube of the liebig's condenser. the space between the inner and outer tube of the condenser is filled with cold water, which enters by the tube _g_ and flows out at _f_.] [ ] one of lavoisier's first memoirs ( ) referred to this question. he investigated the formation of the earthy residue in the distillation of water in order to prove whether it was possible, as was affirmed, to convert water into earth, and he found that the residue was produced by the action of water on the sides of the vessel containing it, and not from the water itself. he proved this to be the case by direct weighing. for certain physical and chemical researches, however, it is necessary to have perfectly pure water. to obtain it, a solution of potassium permanganate is added to distilled water until the whole is a light rose colour. by this means the organic matter in the water is destroyed (converted into gases or non-volatile substances). an excess of potassium permanganate does no harm, because in the next distillation it is left behind in the distillation apparatus. the second distillation should take place in a platinum retort with a platinum receiver. platinum is a metal which is not acted on either by air or water, and therefore nothing passes from it into the water. the water obtained in the receiver still contains air. it must then be boiled for a long time, and afterwards cooled in a vacuum under the receiver of an air pump. pure water does not leave any residue on evaporation; does not in the least change, however long it be kept; does not decompose like water only once distilled or impure; and it does not give bubbles of gas on heating, nor does it change the colour of a solution of potassium permanganate. water, purified as above described, has constant _physical_ and _chemical properties_. for instance, it is of such water only that one cubic centimetre weighs one gram at ° c.--_i.e._ it is only such pure water whose specific gravity equals at ° c.[ ] water in a solid state forms crystals of the hexagonal system[ ] which are seen in snow, which generally consists of star-like clusters of several crystals, and also in the half-melted scattered ice floating on rivers in spring time. at this time of the year the ice splits up into spars or prisms, bounded by angles proper to substances crystallising in the hexagonal system. [ ] taking the generally-accepted specific gravity of water at its greatest density--_i.e._ at ° as one--it has been shown by experiment that the specific gravity of water at different temperatures is as follows: at ° · | at ° · " + ° · | " ° · " ° · | " ° · " ° · | " ° · a comparison of all the data at present known shows that the variation of the specific gravity s_{t} with the temperature _t_ (determined by the mercurial thermometer) maybe expressed (mendeléeff ) by the formula s_{t} = - (_t_- )^{ }/( · + _t_) ( · -_t_) · +-----------+-------------+---------------------------+-----------+ | t° c. | | variation of sp. gr. with | | | according |sp. gr. s_{t}| a rise of | volume | | to the |(at ° = +--------------+------------+taking vol.| | mercurial | , , ) |temp. per °c.|pressure per| at ° = | |thermometer| | or ds/dt | atmosphere| | | | | | or ds/dp | | +-----------+-------------+--------------+------------+-----------+ | - | , | + | + | , , | | | , | + | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - | + | , , | | | , | - , | + | , , | +-----------+-------------+--------------+------------+-----------+ if the temperature be determined by the hydrogen thermometer, whose indications between ° and ° are slightly lower than the mercurial (for example, about · ° c. at °), then a slightly smaller sp. gr. will be obtained for a given _t_. thus chappuis ( ) obtained · for °. water at ° is taken as the basis for reducing measures of length to measures of weight and volume. the _metric, decimal, system_ of measures of weights and volumes is generally employed in science. the starting point of this system is the metre ( · inches) divided into decimetres (= · metre), centimetres (= · metre), millimetres (= · metre), and micrometres (= one millionth of a metre). a cubic decimetre is called a _litre_, and is used for the measurement of volumes. the weight of a litre of water at ° in a vacuum is called a kilogram. one thousandth part of a kilogram of water weighs one _gram_. it is divided into decigrams, centigrams, and milligrams (= · gram). an english pound equals · grams. the great advantage of this system is that it is a decimal one, and that it is universally adopted in science and in most international relations. _all the measures cited in this work are metrical._ the units most often used in science are:--of length, the centimetre; of weight, the gram; of time, the second; of temperature, the degree celsius or centigrade. according to the most trustworthy determinations (kupfer in russia , and chaney in england ), the weight of a c. dcm. of water at ° in vacuo is about · grms. for ordinary purposes the weight of a c. dcg. may be taken as equal to a kg. hence the litre (determined by the weight of water it holds) is slightly greater than a cubic decimetre. [ ] as solid substances appear in independent, regular, crystalline forms which are dependent, judging from their cleavage or lamination (in virtue of which mica breaks, up into laminae, and iceland spar, &c., into pieces bounded by faces inclined to each other at angles which are definite for each substance), on an inequality of attraction (cohesion, hardness) in different directions which intersect at definite angles the determination of crystalline form therefore affords one of the most important characteristics for identifying definite chemical compounds. the elements of crystallography which comprise a special science should therefore he familiar to all who desire to work in scientific chemistry. in this work we shall only have occasion to speak of a few crystalline forms, some of which are shown in figs. to . [illustration: fig. .--example of the form belonging to the regular system. combination of an octahedron and a cube. the former predominates. alum, fluor spar, suboxide of copper, and others.] [illustration: fig. .--rhombic dodecahedron of the regular system. garnet.] [illustration: fig. .--hexagonal prism terminated by hexagonal pyramids. quartz, &c.] [illustration: fig. .--rhombohedron. calc spar, &c.] [illustration: fig. .--rhombic system. desmine.] [illustration: fig. .--triclinic pyramid.] [illustration: fig. .--triclinic system. albite, &c.] the temperatures at which water passes from one state to another are taken as fixed points on the thermometer scale; namely, the zero corresponds with the temperature of melting ice, and the temperature of the steam disengaged from water boiling at the normal barometric pressure (that is millimetres measured at °, at the latitude of °, at the sea level) is taken as ° of the celsius scale. thus, the fact that water liquefies at ° and boils at ° is taken as one of its properties as a definite chemical compound. the weight of a litre of water at ° is , grams, at ° it is · grams. the weight of a litre of ice at ° is less--namely, grams; the weight of the same cubic measure of water vapour at mm. pressure and ° is only · gram; the density of the vapour compared with air = · , and compared with hydrogen = . these data briefly characterise the physical properties of water as a separate substance. to this may be added that water is a mobile liquid, colourless, transparent, without taste or smell, &c. its latent heat of vaporisation is units, of liquefaction units of heat.[ ] the large amount of heat stored up in water vapour and also in liquid water (for its specific heat is greater than that of other liquids) renders it available in both forms for heating purposes. the chemical reactions which water undergoes, and by means of which it is formed, are so numerous, and so closely allied to the reactions of many other substances, that it is impossible to describe the majority of them at this early stage of chemical exposition. we shall become acquainted with many of them afterwards, but at present we shall only cite certain compounds formed by water. in order to see clearly the nature of the various kinds of compounds formed by water we will begin with the most feeble, which are determined by purely mechanical superficial properties of the reacting substances.[ ] [ ] of all known liquids, water exhibits the greatest _cohesion_ of particles. indeed, it ascends to a greater height in capillary tubes than other liquids; for instance, two and a half times as high as alcohol, nearly three times as high as ether, and to a much greater height than oil of vitriol, &c. in a tube one mm. in diameter, water at ° ascends · mm., measuring from the height of the liquid to two-thirds of the height of the meniscus, and at ° it rises · mm. the cohesion varies very uniformly with the temperature; thus at ° the height of the capillary column equals · mm.--that is, the mean between the columns at ° and °. this uniformity is not destroyed even at temperatures near the freezing point, and hence it may be assumed that at high temperatures cohesion will vary as uniformly as at ordinary temperatures; that is, the difference between the columns at ° and ° being · mm., the height of the column at ° should be · -( × · ) = · mm.; or, in other words, at these high temperatures the cohesion between the particles of water would he almost _nil_. only certain solutions (sal ammoniac and lithium chloride), and these only with a great excess of water, rise higher than pure water in capillary tubes. the great cohesion of water doubtless determines many of both its physical and chemical properties. the quantity of heat required to raise the temperature of one part by weight of water from ° to °, _i.e._ by ° c., is called the _unit of heat_ or calorie; the _specific heat of liquid water_ at ° is taken as equal to unity. the variation of this specific heat with a rise in temperature is inconsiderable in comparison with the variation exhibited by the specific heats of other liquids. according to ettinger, the specific heat of water at ° = · , at ° = · , and at ° = · . the specific heat of water is greater than that of any other known liquid; for example, the specific heat of alcohol at ° is · --_i.e._ the quantity of heat which raises parts of water ° raises parts of alcohol °. the specific heat of oil of turpentine at ° is · , of ether · , of acetic acid · , of mercury · . hence water is the best condenser or absorber of heat. this property of water has an important significance in practice and in nature. water prevents rapid cooling or heating, and thus tempers cold and heat. the specific heats of ice and aqueous vapour are much less than that of water; namely, that of ice is · , and of steam · . with an increase in pressure equal to one atmosphere, the compressibility of water (_see_ note ) is · , of mercury · , of ether · at °, of alcohol at ° · . the addition of various substances to water generally decreases both its compressibility and cohesion. the compressibility of other liquids increases with a rise of temperature, but for water it decreases up to ° and then increases like other liquids. the _expansion of water_ by heat (note ) also exhibits many peculiarities which are not found in other liquids. the expansion of water at low temperatures is very small compared with other liquids; at ° it is almost zero, and at ° it is equal to · ; below ° it is negative--_i.e._ water on cooling then expands, and does not decrease in volume. in passing into a solid state, the specific gravity of water decreases; at ° one c.c. of water weighs · gram, and one c.c. of ice at the same temperature weighs only · gram. the ice formed, however, contracts on cooling like the majority of other substances. thus volumes of ice are produced from volumes of water--that is, water expands considerably on freezing, which fact determines a number of natural phenomena. the freezing point of water falls with an increase in pressure ( · ° per atmosphere), because in freezing water expands (thomson), whilst with substances which contract in solidifying the melting point rises with an increase in pressure; thus, paraffin under one atmosphere melts at °, and under atmospheres at °. when liquid water passes into vapour, the cohesion of its particles must be destroyed, as the particles are removed to such a distance from each other that their mutual attraction no longer exhibits any influence. as the cohesion of aqueous particles varies at different temperatures, the quantity of heat which is expended in overcoming this cohesion--or the _latent heat of evaporation_--will for this reason alone be different at different temperatures. the quantity of heat which is consumed in the transformation of one part by weight of water, at different temperatures, into vapour was determined by regnault with great accuracy. his researches showed that one part by weight of water at °, in passing into vapour having a temperature _t_°, consumes · + · _t_ units of heat, at ° · , at ° · , at ° · , and at ° · . but this quantity includes also the quantity of heat required for heating the water from ° to _t_°--_i.e._ besides the latent heat of evaporation, also that heat which is used in heating the water in a liquid state to a temperature _t_°. on deducting this amount of heat, we obtain the latent heat of evaporation of water as · at °, at °, at °, at °, and only at °, which shows that the conversion of water at different temperatures into vapour at a constant temperature requires very different quantities of heat. this is chiefly dependent on the difference of the cohesion of water at different temperatures; the cohesion is greater at low than at high temperatures, and therefore at low temperatures a greater quantity of heat is required to overcome the cohesion. on comparing these quantities of heat, it will be observed that they decrease rather uniformly, namely their difference between ° and ° is , and between ° and ° is units of heat. from this we may conclude that this variation will be approximately the same for high temperatures also, and therefore that no heat would be required for the conversion of water into vapour at a temperature of about °. at this temperature, water passes into vapour whatever be the pressure (see chap. ii. the absolute boiling point of water, according to dewar, is °, the critical pressure atmospheres). it must here be remarked that water, in presenting a greater cohesion, requires a larger quantity of heat for its conversion into vapour than other liquids. thus alcohol consumes , ether , turpentine , units of heat in their conversion into vapour. the whole amount of heat which is consumed in the conversion of water into vapour is not used in overcoming the cohesion--that is, in internal accomplished in the liquid. a part of this heat is employed in moving the aqueous particles; in fact, aqueous vapour at ° occupies a volume , times greater than that of water (at the ordinary pressure), consequently a portion of the heat or work is employed in lifting the aqueous particles, in overcoming pressure, or in external work, which may be usefully employed, and which is so employed in steam engines. in order to determine this work, let us consider the variation of the maximum _pressure_ or _vapour tension of steam_ at different temperatures. the observations of regnault in this respect, as on those preceding, deserve special attention from their comprehensiveness and accuracy. the pressure or tension of aqueous vapour at various temperatures is given in the adjoining table, and is expressed in millimetres of the barometric column reduced to °. +------------+---------+-------------+----------+ |temperature | tension | temperature | tension | +------------+---------+-------------+----------+ | - ° | · | ° | · | | - ° | · | ° | · | | ° | · | ° | · | | + ° | · | ° | · | | ° | · | ° | · | | ° | · | ° | · | | ° | · | ° | · | | ° | · | ° | · | | ° | · | ° | · | +------------+---------+-------------+----------+ the table shows the boiling points of water at different pressures. thus on the summit of mont blanc, where the average pressure is about mm., water boils at · °. in a rarefied atmosphere water boils even at the ordinary temperature, but in evaporating it absorbs heat from the neighbouring parts, and therefore it becomes cold and may even freeze if the pressure does not exceed · mm., and especially if the vapour be rapidly absorbed as it is formed. oil of vitriol, which absorbs the aqueous vapour, is used for this purpose. thus ice may be obtained artificially at the ordinary temperature with the aid of an air-pump. this table of the tension of aqueous vapour also shows the temperature of water contained in a closed boiler if the pressure of the steam formed be known. thus at a pressure of five atmospheres (a pressure of five times the ordinary atmospheric pressure--_i.e._ × = , mm.) the temperature of the water would be °. the table also shows the pressure produced on a given surface by steam on issuing from a boiler. thus steam having a temperature of ° exerts a pressure of kilos on a piston whose surface equals sq. cm., for the pressure of one atmosphere on one sq. cm. equals , kilos, and steam at ° has a pressure of five atmospheres. as a column of mercury mm. high exerts a pressure of · grams on a surface of sq. cm., therefore the pressure of aqueous vapour at ° corresponds with a pressure of · grams per square centimetre. the pressures for all temperatures may be calculated in a similar way, and it will be found that at ° it is equal to , · grams. this means that if a cylinder be taken whose sectional area equals sq. cm., and if water be poured into it and it be closed by a piston weighing , grams, then on heating it in a vacuum to ° no steam will be formed, because the steam cannot overcome the pressure of the piston; and if at ° units of heat be transmitted to each unit of weight of water, then the whole of the water will be converted into vapour having the same temperature; and so also for every other temperature. the question now arises, to what height does the piston rise under these circumstances? that is, in other words, what is the volume occupied by the steam under a known pressure? for this we must know the weight of a cubic centimetre of steam at various temperatures. it has been shown by experiment that the density of steam, which does not saturate a space, varies very inconsiderably at all possible pressures, and is nine times the density of hydrogen under similar conditions. steam which saturates a space varies in density at different temperatures, but this difference is very small, and its average density with reference to air is · . we will employ this number in our calculation, and will calculate what volume the steam occupies at °. one cubic centimetre of air at ° and mm. weighs · gram, at ° and under the same pressure it will weigh · / · or about · gram, and consequently one cubic centimetre of steam whose density is · will weigh · gram at °, and therefore one gram of aqueous vapour will occupy a volume of about · c.c. consequently, the piston in the cylinder of sq. cm. sectional area, and in which the water occupied a height of cm., will be raised , cm. on the conversion of this water into steam. this piston, as has been mentioned, weighs , grams, therefore the _external work of the steam_--that is, that work which the water does in its conversion into steam at °--is equal to lifting a piston weighing , grams to a height of , cm., or · kilogram-metres of work--_i.e._ is capable of lifting kilograms metre, or kilogram metres. one gram of water requires for its conversion into steam gram units of heat or · kilogram unit of heat--_i.e._ the quantity of heat absorbed in the evaporation of one gram of water is equal to the quantity of heat which is capable of heating kilogram of water · °. each unit of heat, as has been shown by accurate experiment, is capable of doing kilogram-metres of work. hence, in evaporating, one gram of water expends × · = (almost) kilogram-metres of work. the external work was found to be only kilogram-metres, therefore kilogram-metres are expended in overcoming the internal cohesion of the aqueous particles, and consequently about p.c. of the total heat or work is consumed in overcoming the internal cohesion. the following figures are thus calculated approximately:-- +------------+----------------+-----------------+--------------+ | | total work of |external work of | | |temperature | evaporation in | vapour in | internal | | |kilogram-metres |kilogram-metres |work of vapour| +------------+----------------+-----------------+--------------+ | ° | | | | | ° | | | | | ° | | | | | ° | | | | | ° | | | | +------------+----------------+-----------------+--------------+ the work necessary for overcoming the internal cohesion of water in its passage into vapour decreases with the rise in temperature--that is, corresponds with the decrease of cohesion; and, in fact, the variations which take place in this case are very similar to those which are observed in the heights to which water rises in capillary tubes at different temperatures. it is evident, therefore, that the amount of external--or, as it is termed, useful--work which water can supply by its evaporation is very small compared with the amount which it expends in its conversion into vapour. in considering certain physico-mechanical properties of water, i had in view not only their importance for theory and practice, but also their purely chemical significance; for it is evident from the above considerations that even in a physical change of state the greatest part of the work done is employed in overcoming cohesion, and that an enormous amount of internal energy must be expended in overcoming chemical cohesion or affinity. [ ] when it is necessary to heat a considerable mass of liquid in different vessels, it would be very uneconomical to make use of metallic vessels and to construct a separate furnace for each; such cases are continually met with in practice. steam from a boiler is introduced into the liquid, or, in general, into the vessel which it is required to heat. the steam, in condensing and passing into a liquid state, parts with its latent heat, and as this is very considerable a small quantity of steam will produce a considerable heating effect. if it be required, for instance, to heat , kilos of water from ° to °, which requires approximately , units of heat, steam at ° is passed into the water from a boiler. each kilogram of water at ° contains about units of heat, and each kilogram of steam at ° contains units of heat; therefore, each kilogram of steam in cooling to ° gives up units of heat, and consequently kilos of steam are capable of heating , kilos of water from ° to °. water is very often applied for heating in chemical practice. for this purpose metallic vessels or pans, called 'water-baths,' are made use of. they are closed by a cover formed of concentric rings lying on each other. the vessels--such as beakers, evaporating basins, retorts, &c.--containing liquids, are placed on these rings, and the water in the bath is heated. the steam given off heats the bottom of the vessels to be heated, and thus effects the evaporation or distillation. water is mechanically attracted by many substances; it adheres to their surfaces just as dust adheres to objects, or one piece of polished glass adheres to another. such attraction is termed 'moistening,' 'soaking,' or 'absorption of water.' thus water moistens clean glass and adheres to its surface, is absorbed by the soil, sand, and clay, and does not flow away from them, but lodges itself between their particles. similarly, water soaks into a sponge, cloth, hair, or paper, &c., but fat and greasy substances in general are not moistened. attraction of this kind does not alter the physical or chemical properties of water. for instance, under these circumstances water, as is known from everyday experience, may be expelled from objects by drying. water which is in any way held mechanically may be dislodged by mechanical means, by friction, pressure, centrifugal force, &c. thus water is squeezed from wet cloth by pressure or centrifugal machines. but objects which in practice are called dry (because they do not feel wet) often still contain moisture, as may be proved by heating the object in a glass tube closed at one end. by placing a piece of paper, dry earth, or any similar object (especially porous substances) in such a glass tube, and heating that part of the tube where the object is situated, it will be remarked that water condenses on the cooler portions of the tube. the presence of such absorbed, or 'hygroscopic,' water is generally best detected in non-volatile substances by drying them at °, or under the receiver of an air-pump and over substances which attract water chemically. by weighing a substance before and after drying, it is easy to determine the amount of hygroscopic water from the loss in weight.[ ] only in this case the amount of water must be judged with care, because the loss in weight may sometimes proceed from the decomposition of the substance itself, with disengagement of gases or vapour. in making exact weighings the hygroscopic capacity of substances--that is, their capacity to absorb moisture--must be continually kept in view, as otherwise the weight will be untrue from the presence of moisture. the quantity of moisture absorbed depends on the degree of moisture of the atmosphere (that is, on the tension of the aqueous vapour in it) in which a substance is situated. in an entirely dry atmosphere, or in a vacuum, the hygroscopic water is expelled, being converted into vapour; therefore, substances containing hygroscopic water may be completely dried by placing them in a dry atmosphere or in a vacuum. the process is aided by heat, as it increases the tension of the aqueous vapour. phosphoric anhydride (a white powder), liquid sulphuric acid, solid and porous calcium chloride, or the white powder of ignited copper sulphate, are most generally employed in drying gases. they absorb the moisture contained in air and all gases to a considerable, but not unlimited, extent. phosphoric anhydride and calcium chloride deliquesce, become damp, sulphuric acid changes from an oily thick liquid into a more mobile liquid, and ignited copper sulphate becomes blue; after which changes these substances partly lose their capacity of holding water, and can, if it be in excess, even give up their water to the atmosphere. we may remark that the order in which these substances are placed above corresponds with the order in which they stand in respect to their capacity for absorbing moisture. air dried by calcium chloride still contains a certain amount of moisture, which it can give up to sulphuric acid. the most complete desiccation takes place with phosphoric anhydride. water is also removed from many substances by placing them in a dish over a vessel containing a substance absorbing water under a glass bell jar.[ ] the bell jar, like the receiver of an air pump, should be hermetically closed. in this case desiccation takes place; because sulphuric acid, for instance, first dries the air in the bell jar by absorbing its moisture, the substance to be dried then parts with its moisture to the dry air, from which it is again absorbed by the sulphuric acid, &c. desiccation proceeds still better under the receiver of an air pump, for then the aqueous vapour is formed more quickly than in a bell jar full of air. [ ] [illustration: fig. .--drying oven, composed of brazed copper. it is heated by a lamp. the object to be dried is placed on the gauze inside the oven. the thermometer indicates the temperature.] in order to dry any substance at about °--that is, at the boiling point of water (hygroscopic water passes off at this temperature)--an apparatus called a 'drying-oven' is employed. it consists of a double copper box; water is poured into the space between the internal and external boxes, and the oven is then heated over a stove or by any other means, or else steam from a boiler is passed between the walls of the two boxes. when the water boils, the temperature inside the inner box will be approximately ° c. the substance to be dried is placed inside the oven, and the door is closed. several holes are cut in the door to allow the free passage of air, which carries off the aqueous vapour by the chimney on the top of the oven. often, however, desiccation is carried on in copper ovens heated directly over a lamp (fig. ). in this case any desired temperature may be obtained, which is determined by a thermometer fixed in a special orifice. there are substances which only part with their water at a much higher temperature than °, and then such air baths are very useful. in order to determine directly the amount of water in a substance which does not part with anything except water at a red heat, the substance is placed in a bulb tube. by first weighing the tube empty and then with the substance to be dried in it, the weight of the substance taken may be found. the tube is then connected on one side with a gas-holder full of air, which, on opening a stop-cock, passes first through a flask containing sulphuric acid, and then into a vessel containing lumps of pumice stone moistened with sulphuric acid. in passing through these vessels the air is thoroughly dried, having given up all its moisture to the sulphuric acid. thus dry air will pass into the bulb tube, and as hygroscopic water is entirely given up from a substance in dry air even at the ordinary temperature, and still more rapidly on heating, the moisture given up by the substance in the tube will be carried off by the air passing through it. this damp air then passes through a u-shaped tube full of pieces of pumice stone moistened with sulphuric acid, which absorbs all the moisture given off from the substance in the bulb tube. thus all the water expelled from the substance will collect in the [u] tube, and so, if this be weighed before and after, the difference will show the quantity of water expelled from the substance. if only water (and not any gases) come over, the increase of the weight of the [u] tube will be equal to the decrease in the weight of the bulb tube. [ ] instead of under a glass bell jar, drying over sulphuric acid is often carried on in a desiccator consisting of a shallow wide-mouthed glass vessel, closed by a well-fitting ground-glass cover. sulphuric acid is poured over the bottom of the desiccator, and the substance to be dried is placed on a glass stand above the acid. a lateral glass tube with a stop-cock is often fused into the desiccator in order to connect it with an air pump, and so allow drying under a diminished pressure, when the moisture evaporates more rapidly. the fact that in the usual form of desiccator the desiccating substance (sulphuric acid) is placed beneath the substance to be dried has the disadvantage that the moist air being lighter than dry air distributes itself in the upper portion of the desiccator and not below. hempel, in his desiccator ( ), avoids this by placing the absorbent above the substance to be dried. the process of desiccation can be further accelerated by cooling the upper portion of the desiccator, and so inducing ascending and descending currents of air within the apparatus. from what has been said above, it is evident that the transference of moisture to gases and the absorption of hygroscopic moisture present great resemblance to, but still are not, chemical combinations with water. water, when combined as hygroscopic water, does not lose its properties and does not form new substances.[ ] [ ] chappuis, however, determined that in wetting gram of charcoal with water units of heat are evolved, and on pouring carbon bisulphide over gram of charcoal as much as units of heat are evolved. alumina ( gram), when moistened with water, evolves - / calories. this indicates that in respect to evolution of heat moistening already presents a transition towards exothermal combinations (those evolving heat in their formation). the attraction of water for substances which dissolve in it is of a different character. in the solution of substances in water there proceeds a peculiar kind of indefinite combination; a new homogeneous substance is formed from the two substances taken. but here also the bond connecting the substances is very unstable. water containing different substances in solution boils at a temperature near to its usual boiling point. from the solution of substances which are lighter than water itself, there are obtained solutions of a less density than water--as, for example, in the solution of alcohol in water; whilst a heavier substance in dissolving in water gives it a higher specific gravity. thus salt water is heavier than fresh.[ ] [ ] strong acetic acid (c_{ }h_{ }o_{ }), whose specific gravity at ° is · , does not become lighter on the addition of water (a lighter substance, sp. gr. = · ), but heavier, so that a solution of parts of acetic acid and parts of water has a specific gravity of · , and even a solution of equal parts of acetic acid and water ( p.c.) has a sp. gr. of · , which is still greater than that of acetic acid itself. this shows the high degree of contraction which takes place on solution. in fact, solutions--and, in general, liquids--on mixing with water, decrease in volume. we will consider _aqueous solutions_ somewhat fully, because, among other reasons, solutions are constantly being formed on the earth and in the waters of the earth, in plants and in animals, in chemical processes and in the arts, and these solutions play an important part in the chemical transformations which are everywhere taking place, not only because water is everywhere met with, but chiefly because a substance in solution presents the most favourable conditions for the process of chemical changes, which require a mobility of parts and a possible distension of parts. in dissolving, a solid substance acquires a mobility of parts, and a gas loses its elasticity, and therefore reactions often take place in solutions which do not proceed in the undissolved substances. further, a substance, distributed in water, evidently breaks up--that is, becomes more like a gas and acquires a greater mobility of parts. all these considerations require that in describing the properties of substances, particular attention should be paid to their relation to water as a solvent. [illustration: fig. .--method of transferring a gas into a cylinder filled with mercury and whose open end is immersed under the mercury in a bath having two glass sides. the apparatus containing the gas is represented on the right. its upper extremity is furnished with a tube extending under the cylinder. the lower part of the vessel communicates with a vertical tube. if mercury be poured into this tube, the pressure of the gas in the apparatus is increased, and it passes through the gas-conducting tube into the cylinder, where it displaces the mercury, and can be measured or subjected to the action of absorbing agents, such as water.] it is well known that water dissolves many substances. salt, sugar, alcohol, and a number of other substances, dissolve in water and form homogeneous liquids with it. to demonstrate the solubility of gases in water, a gas should be taken which has a high co-efficient of solubility--for instance, ammonia. this is introduced into a bell jar (or cylinder, as in fig. ), which is previously filled with mercury and stands in a mercury bath. if water be then introduced into the cylinder, the mercury will rise, owing to the water dissolving the ammonia gas. if the column of mercury be less than the barometric column, and if there be sufficient water to dissolve the gas, all the ammonia will be absorbed by the water. the water is introduced into the cylinder by a glass pipette, with a bent end. the bent end is put into water, and the air is sucked out from the upper end. when full of water, its upper end is closed with the finger, and the bent end placed in the mercury bath under the orifice of the cylinder. on blowing into the pipette the water will rise to the surface of the mercury in the cylinder owing to its lightness. the solubility of a gas like ammonia may be demonstrated by taking a flask full of the gas, and closed by a cork with a tube passing through it. on placing the tube under water, the water will rise into the flask (this may be accelerated by previously warming the flask), and begin to play like a fountain inside it. both the rising of the mercury and the fountain clearly show the considerable affinity of water for ammonia gas, and the force acting in this dissolution is rendered evident. a certain period of time is required both for the homogeneous intermixture of gases (diffusion) and the process of solution, which depends, not only on the surface of the participating substances, but also on their nature. this is seen from experiment. solutions of different substances heavier than water, such as salt or sugar, are poured into tall jars. pure water is then very carefully poured into these jars (through a funnel) on to the top of the solutions, so as not to disturb the lower stratum, and the jars are then left undisturbed. the line of demarcation between the solution and the pure water will be visible, owing to their different co-efficients of refraction. notwithstanding that the solutions taken are heavier than water, after some time complete intermixture will ensue. gay lussac convinced himself of this fact by this particular experiment, which he conducted in the cellars under the paris astronomical observatory. these cellars are well known as the locality where numerous interesting researches have been conducted, because, owing to their depth under ground, they have a uniform temperature during the whole year; the temperature does not change during the day, and this was indispensable for the experiments on the diffusion of solutions, in order that no doubt as to the results should arise from a daily change of temperature (the experiment lasted several months), which would set up currents in the liquids and intermix their strata. notwithstanding the uniformity of the temperature, the substance in solution in time ascended into the water and distributed itself uniformly through it, proving that there exists between water and a substance dissolved in it a particular kind of attraction or striving for mutual interpenetration in opposition to the force of gravity. further, this effort, or rate of diffusion, is different for salt or sugar or for various other substances.[ bis] it follows therefore that a peculiar force acts in solution, as in actual chemical combinations, and solution is determined by a particular kind of motion (by the chemical energy of a substance) which is proper to the substance dissolved and to the solvent. [ bis] graham, in the jelly formed by gelatine, and de vries in gelatinous silica (chapter xviii.) most frequently employed coloured (tinted) substances, for instance, k_{ }cr_{ }o_{ }, which showed the rate of diffusion with very great clearness. prof. oumoff employed the method described in chapter x., note , for this purpose. graham made a series of experiments similar to those above described, and showed that the _rate of diffusion_[ ] in water is very variable--that is, a uniform distribution of a substance in the water dissolving it is attained in different periods of time with different solutions. graham compared diffusive capacity with volatility. there are substances which diffuse easily, and there are others which diffuse with difficulty, just as there are more or less volatile substances. seven hundred cubic centimetres of water were poured into a jar, and by means of a syphon (or a pipette) cub. centimetres of a solution containing grams of a substance were cautiously poured in so as to occupy the lower portion of the jar. after a lapse of several days, successive layers of cubic centimetres were taken from the top downwards, and the quantity of substance dissolved in the different layers determined. thus, common table salt, after fourteen days, gave the following amounts (in milligrams) in the respective layers, beginning from the top: , , , , , , , , , , , , , , , , and , in the remainder; whilst albumin in the same time gave, in the first seven layers, a very small amount, and beginning from the eighth layer, , , , , , , , , and in the remainder , milligrams. thus, the diffusive power of a solution depends on time and on the nature of the substance dissolved, which fact may serve, not only for explaining the process of solution, but also for distinguishing one substance from another. graham showed that substances which rapidly diffuse through liquids are able to rapidly pass through membranes and crystallise, whilst substances which diffuse slowly and do not crystallise are _colloids_, that is, resemble glue, and penetrate through a membrane slowly, and form jellies; that is, occur in insoluble forms,[ ] as will be explained in speaking of silica. [ ] the researches of graham, fick, nernst, and others showed that the quantity of a dissolved substance which is transmitted (rises) from one stratum of liquid to another in a vertical cylindrical vessel is not only proportional to the time and to the sectional area of the cylinder, but also to the amount and nature of the substance dissolved in a stratum of liquid, so that each substance has its corresponding co-efficient of diffusion. the cause of the diffusion of solutions must be considered as essentially the same as the cause of the diffusion of gases--that is, as dependent on motions which are proper to their molecules; but here most probably those purely chemical, although feebly-developed, forces, which incline the substances dissolved to the formation of definite compounds, also play their part. [ ] [illustration: fig. .--dialyser. apparatus for the separation of substances which pass through a membrane from those which do not. description in text.] the rate of diffusion--like the rate of transmission--through membranes, or _dialysis_ (which plays an important part in the vital processes of organisms and also in technical processes), presents, according to graham's researches, a sharply defined change in passing from such crystallisable substances as the majority of salts and acids to substances which are capable of giving jellies (gum, gelatin, &c.) the former diffuse into solutions and pass through membranes much more rapidly than the latter, and graham therefore distinguishes between _crystalloids_, which diffuse rapidly, and _colloids_, which diffuse slowly. on breaking solid colloids into pieces, a total absence of cleavage is remarked. the fracture of such substances is like that of glue or glass. it is termed a 'conchoidal' fracture. almost all the substances of which animal and vegetable bodies consist are colloids, and this is, at all events, partly the reason why animals and plants have such varied forms, which have no resemblance to the crystalline forms of the majority of mineral substances. the colloid solid substances in organisms--that is, in animals and plants--almost always contain water, and take most peculiar forms, of networks, of granules, of hairs, of mucous, shapeless masses, &c., which are quite different from the forms taken by crystalline substances. when colloids separate out from solutions, or from a molten state, they present a form which is similar to that of the liquid from which they were formed. glass may he taken as the best example of this. colloids are distinguishable from crystalloids, not only by the absence of crystalline form, but by many other properties which admit of clearly distinguishing both these classes of solids, as graham showed. nearly all colloids are capable of passing, under certain circumstances, from a soluble into an insoluble state. the best example is shown by white of eggs (albumin) in the raw and soluble form, and in the hard-boiled and insoluble form. the majority of colloids, on passing into an insoluble form in the presence of water, give substances having a gelatinous appearance, which is familiar to every one in starch, solidified glue, jelly, &c. thus gelatin, or common carpenter's glue, when soaked in water, swells up into an insoluble jelly. if this jelly be heated, it melts, and is then soluble in water, but on cooling it again forms a jelly which is insoluble in water. one of the properties which distinguish colloids from crystalloids is that the former pass very slowly through a membrane, whilst the latter penetrate very rapidly. this may be shown by taking a cylinder, open at both ends, and by covering its lower end with a bladder or with vegetable parchment (unsized paper immersed for two or three minutes in a mixture of sulphuric acid and half its volume of water, and then washed), or any other membranous substance (all such substances are themselves colloids in an insoluble form). the membrane must be firmly tied to the cylinder, so as not to leave any opening. such an apparatus is called a _dialyser_ (fig. ), and the process of separation of crystalloids from colloids by means of such a membrane is termed _dialysis_. an aqueous solution of a crystalloid or colloid, or a mixture of both, is poured into the dialyser, which is then placed in a vessel containing water, so that the bottom of the membrane is covered with water. then, after a certain period of time, the crystalloid passes through the membrane, whilst the colloid, if it does pass through at all, does so at an incomparably slower rate. the crystalloid naturally passes through into the water until the solution attains the same strength on both sides of the membrane. by replacing the outside water with fresh water, a fresh quantity of the crystalloid may be separated from the dialyser. while a crystalloid is passing through the membrane, a colloid remains almost entirely in the dialyser, and therefore a mixed solution of these two kinds of substances may be separated from each other by a dialyser. the study of the properties of colloids, and of the phenomena of their passage through membranes, should elucidate much respecting the phenomena which are accomplished in organisms. hence, if it be desired to increase the rate of solution, recourse must be had to stirring, shaking, or some such mechanical motion. but if once a uniform solution is formed, it will remain uniform, no matter how heavy the dissolved substance is, or how long the solution be left at rest, which fact again shows the presence of a force holding together the particles of the body dissolved and of the solvent.[ ] [ ] the formation of solutions may be considered in two aspects, from a physical and from a chemical point of view, and it is more evident in solutions than in any other department of chemistry how closely these provinces of natural science are allied together. on the one hand solutions form a particular case of a physico-mechanical interpenetration of homogeneous substances, and a juxtaposition of the molecules of the substance dissolved and of the solvent, similar to the juxtaposition which is exhibited in homogeneous substances. from this point of view this diffusion of solutions is exactly similar to the diffusion of gases, with only this difference, that the nature and store of energy are different in gases from what they are in liquids, and that in liquids there is considerable friction, whilst in gases there is comparatively little. the penetration of a dissolved substance into water is likened to evaporation, and solution to the formation of vapour. this resemblance was clearly expressed even by graham. in recent years the dutch chemist, van't hoff, has developed this view of solutions in great detail, having shown (in a memoir in the _transactions of the swedish academy of science_, part , no. , 'lois de l'équilibre chimique dans l'état dilué, gazeux ou dissous,' ), that for dilute solutions the _osmotic pressure_ follows the same laws of boyle, mariotte, gay-lussac, and avogadro-gerhardt as for gases. the osmotic pressure of a substance dissolved in water is determined by means of membranes which allow the passage of water, but not of a substance dissolved in it, through them. this property is found in animal protoplasmic membranes and in porous substances covered with an amorphous precipitate, such as is obtained by the action of copper sulphate on potassium ferrocyanide (pfeffer, traube). if, for instance, a one p.c. solution of sugar he placed in such a vessel, which is then closed and placed in water, the water passes through the walls of the vessel and increases the pressure by mm. of the barometric column. if the pressure be artificially increased inside the vessel, then the water will be expelled through the walls. de vries found a convenient means of determining _isotonic_ solutions (those presenting a similar osmotic pressure) in the cells of plants. for this purpose a portion of the soft part of the leaves of the _tradescantis discolor_, for instance, is cut away and moistened with the solution of a given salt and of a given strength. if the osmotic pressure of the solution taken be less than that of the sap contained in the cells they will change their form or shrink; if, on the other hand, the osmotic pressure be greater than that of the sap, then the cells will expand, as can easily be seen under the microscope. by altering the amount of the different salts in solution it is possible to find for each salt the strength of solution at which the cells begin to swell, and at which they will consequently have an equal osmotic pressure. as it increases in proportion to the amount of a substance dissolved per parts of water, it is possible, knowing the osmotic pressure of a given substance--for instance, sugar at various degrees of concentration of solution--and knowing the composition of isotonic solutions compared with sugar, to determine the osmotic pressure of all the salts investigated. the osmotic pressure of dilute solutions determined in this manner directly or indirectly (from observations made by pfeffer and de vries) was shown to follow the same laws as those of the pressure of gases; for instance, by doubling or increasing the quantity of a salt (in a given volume) _n_ times, the pressure is doubled or increases _n_ times. so, for example, in a solution containing one part of sugar per parts of water the osmotic pressure (according to pfeffer) = · cm. of mercury, if parts of sugar = · , if parts = · and so on, which proves that the ratio is true within the limits of experimental error. ( ) different substances for equal strengths of solutions, show very different osmotic pressures, just as gases for equal parts by weight in equal volumes show different tensions. ( ) if, for a given dilute solution at °, the osmotic pressure equal _p_°, then at _t_° it will be greater and equal to _p_°( + · _t_), _i.e._ it increases with the temperature in exactly the same manner as the tension of gases increases. ( ) if in dilute solutions of such substances as do not conduct an electric current (for instance, sugar, acetone, and many other organic bodies) the substances be taken in the ratio of their molecular weights (expressed by their formulæ, see chapter vii.), then not only will the osmotic pressure be equal, but its magnitude will be determined by that tension which would be proper to the vapours of the given substances when they would be contained in the space occupied by the solution, just as the tension of the vapours of molecular quantities of the given substances will be equal, and determined by the laws of gay-lussac, mariotte, and avogadro-gerhardt. those formulæ (chapter vii., notes and ) by which the gaseous state of matter is determined, may also be applied in the present case. so, for example, the osmotic pressure _p_, in centimetres of mercury, of a one per cent. solution of sugar, may be calculated according to the formula for gases: m_p_ = _s_( + _t_), where m is the molecular weight, _s_ the weight in grams of a cubic centimetre of vapour, and _t_ its temperature. for sugar m = (because its molecular composition is c_{ }h_{ }o_{ }). the specific gravity of the solution of sugar is · , hence the weight of sugar _s_ contained in a per cent. solution = · gram. the observation was made at _t_ = °. hence, according to the formula, we find _p_ = · centimetres. and experiments carried on at ° gave · centimetres, which is very near to the above. ( ) for the solutions of salts, acids, and similar substances, which conduct an electric current, the calculated pressure is usually (but not always in a definite or multiple number of times) less than the observed by _i_ times, and this _i_ for dilute solutions of mgso_{ } is nearly , for co_{ } = , for kcl, nacl, ki, kno_{ } greater than , and approximates to , for bacl_{ }, mgcl_{ }, k_{ }co_{ }, and others between and , for hcl, h_{ }so_{ }, nano_{ }, can_{ }o_{ }, and others nearly and so on. it should be remarked that the above deductions are only applicable (and with a certain degree of accuracy) to dilute solutions, and in this respect resemble the generalisations of michel and kraft (see note ). nevertheless, the arithmetical relation found by van't hoff between the formation of vapours and the transition into dilute solutions forms an important scientific discovery, which should facilitate the explanation of the nature of solutions, while the osmotic pressure of solutions already forms a very important aspect of the study of solutions. in this respect it is necessary to mention that prof. konovaloff ( , and subsequently others also) discovered the dependence (and it may be a sufficient explanation) of the osmotic pressure upon the differences of the tensions of aqueous vapours and aqueous solutions; this, however, already enters into a special province of physical chemistry (certain data are given in note and following), and to this physical side of the question also belongs one of the extreme consequences of the resemblance of osmotic pressure to gaseous pressure, which is that the concentration of a uniform solution varies in parts which are heated or cooled. soret ( ) indeed observed that a solution of copper sulphate containing parts of the salt at ° only contained parts after heating the upper portion of the tube to ° for a long period of time. this aspect of solution, which is now being very carefully and fully worked out, may be called the _physical_ side. its other aspect is purely _chemical_, for solution does not take place between any two substances, but requires a special and particular attraction or affinity between them. a vapour or gas permeates any other vapour or gas, but a salt which dissolves in water may not be in the least soluble in alcohol, and is quite insoluble in mercury. in considering solutions as a manifestation of chemical force (and of chemical energy), it must be acknowledged that they are here developed to so feeble an extent that the definite compounds (that is, those formed according to the law of multiple proportions) formed between water and a soluble substance dissociate even at the ordinary temperature, forming a homogeneous system--that is, one in which both the compound and the products into which it decomposes (water and the aqueous compound) occur in a liquid state. the chief difficulty in the comprehension of solutions depends on the fact that the mechanical theory of the structure of liquids has not yet been so fully developed as the theory of gases, and solutions are liquids. the conception of solutions as liquid dissociated definite chemical compounds is based on the following considerations: ( ) that there exist certain undoubtedly definite chemical crystallised compounds (such as h_{ }so_{ },h_{ }o; or nacl, h_{ }o; or cacl_{ }, h_{ }o; &c.) which melt on a certain rise of temperature, and then form true solutions; ( ) that metallic alloys in a molten condition are real solutions, but on cooling they often give entirely distinct and definite crystallised compounds, which are recognised by the properties of alloys; ( ) that between the solvent and the substance dissolved there are formed, in a number of cases, many undoubtedly definite compounds, such as compounds with water of crystallisation; ( ) that the physical properties of solutions, and especially their specific gravities (a property which can be very accurately determined), vary with a change in composition, and in such a manner as would be required by the formation of one or more definite but dissociating compounds. thus, for example, on adding water to fuming sulphuric acid its density is observed to decrease until it attains the definite composition h_{ }so_{ }, or so_{ } + h_{ }o, when the specific gravity increases, although on further diluting with water it again falls. moreover (mendeléeff, _the investigation of aqueous solutions from their specific gravities_, ), the increase in specific gravity (_ds_), varies in all well-known solutions with the proportion of the substance dissolved (_dp_), and this dependence can be expressed by a formula (_ds_/_dp_ = a + b_p_) between the limits of definite compounds whose existence in solutions must be admitted, and this is in complete accordance with the dissociation hypothesis. thus, for instance, from h_{ }so_{ } to h_{ }so_{ } + h_{ }o (both these substances exist as definite compounds in a free state), the fraction _ds_/_dp_ = · - · _p_ (where _p_ is the percentage amount of h_{ }so_{ }). for alcohol c_{ }h_{ }o, whose aqueous solutions have been more accurately investigated than all others, the definite compound c_{ }h_{ }o + h_{ }o, and others must be acknowledged in its solutions. the two aspects of solution above mentioned, and the hypotheses which have as yet been applied to the examination of solutions, although they have somewhat different starting points, will doubtless in time lead to a general theory of solutions, because the same common laws govern both physical and chemical phenomena, inasmuch as the properties and motions of molecules, which determine physical properties, depend on the motions and properties of atoms, which determine chemical reactions. for details of the questions dealing with theories of solution, recourse must now be had to special memoirs and to works on theoretical (physical) chemistry; for this subject forms one of special interest at the present epoch of the development of our science. in working out chiefly the chemical side of solutions, i consider it to be necessary to reconcile the two aspects of the question; this seems to me to be all the more possible, as the physical side is limited to dilute solutions only, whilst the chemical side deals mainly with strong solutions. in the consideration of the process of solution, besides the conception of diffusion, another fundamental conception is necessary--namely, that of the _saturation of solutions_. just as moist air may be diluted with any desired quantity of dry air, so also an indefinitely large quantity of a liquid solvent may be taken, and yet a uniform solution will be obtained. but more than a definite quantity of aqueous vapour cannot be introduced into a certain volume of air at a certain temperature. the excess above the point of saturation will remain in the liquid state.[ ] the relation between water and substances dissolved in it is similar. more than a definite quantity of a substance cannot, at a certain temperature, dissolve in a given quantity of water; the excess does not unite with the water. just as air or a gas becomes saturated with vapour, so water becomes saturated with a substance dissolved in it. if an excess of a substance be added to water which is already saturated with it, it will remain in its original state, and will not diffuse through the water. the quantity of a substance (either by volume with gases, or by weight with solids and liquids) which is capable of saturating parts of water is called the _co-efficient of solubility_ or the _solubility_. in grams of water at °, there can be dissolved not more than · grams of common salt. consequently, its solubility at ° is equal to · .[ ] it is most important to turn attention to the _existence of the solid insoluble substances of nature_, because on them depends the shape of the substances of the earth's surface, and of plants and animals. there is so much water on the earth's surface, that were the surface of substances formed of soluble matters it would constantly change, and however substantial their forms might be, mountains, river banks and sea shores, plants and animals, or the habitations and coverings of men, could not exist for any length of time.[ ] [ ] a system of (chemically or physically) re-acting substances in different states of aggregation--for instance, some solid, others liquid or gaseous--is termed a heterogeneous system. up to now it is only systems of this kind which can be subjected to detailed examination in the sense of the mechanical theory of matter. solutions (_i.e._ unsaturated ones) form fluid homogeneous systems, which at the present time can only be investigated with difficulty. in the case of limited solution of liquids in liquids, _the difference between the solvent and the substance dissolved_ is clearly seen. the former (that is, the solvent) may be added in an unlimited quantity, and yet the solution obtained will always be uniform, whilst only a definite saturating proportion of the substance dissolved can be taken, we will take water and common (sulphuric) ether. on shaking the ether with the water, it will be remarked that a portion of it dissolves in the water. if the ether be taken in such a quantity that it saturates the water and a portion of it remains undissolved, then this remaining portion will act as a solvent, and water will diffuse through it and also form a saturated solution of water in the ether taken. thus two saturated solutions will be obtained. one solution will contain ether dissolved in water, and the other solution will contain water dissolved in ether. these two solutions will arrange themselves in two layers, according to their density; the ethereal solution of water will be on the top. if the upper ethereal solution be poured off from the aqueous solution, any quantity of ether may be added to it; this shows that the dissolving substance is ether. if water be added to it, it is no longer dissolved in it; this shows that water saturates the ether--here water is the substance dissolved. if we act in the same manner with the lower layer, we shall find that water is the solvent and ether the substance dissolved. by taking different amounts of ether and water, the degree of solubility of ether in water, and of water in ether, may be easily determined. water approximately dissolves / of its volume of ether, and ether dissolves a very small quantity of water. let us now imagine that the liquid poured in dissolves a considerable amount of water, and that water dissolves a considerable amount of the liquid. two layers could not be formed, because the saturated solutions would resemble each other, and therefore they would intermix in all proportions. this is, consequently, a case of a phenomenon where two liquids present considerable co-efficients of solubility in each other, but where it is impossible to say what these co-efficients are, because it is impossible to obtain a saturated solution. [ ] the solubility, or co-efficient of solubility, of a substance is determined by various methods. either a solution is expressly prepared with a clear excess of the soluble substance and saturated at a given temperature, and the quantity of water and of the substance dissolved in it determined by evaporation, desiccation, or other means; or else, as is done with gases, definite quantities of water and of the soluble substance are taken and the amount remaining undissolved is determined. [illustration: fig. .--bunsen's absorptiometer. apparatus for determining the solubility of gases in liquids.] the solubility of a gas in water is determined by means of an apparatus called an _absorptiometer_ (fig. ). it consists of an iron stand _f_, on which an india-rubber ring rests. a wide glass tube is placed on this ring, and is pressed down on it by the ring _h_ and the screws _i i_. the tube is thus firmly fixed on the stand. a cock _r_, communicating with a funnel _r_, passes into the lower part of the stand. mercury can be poured into the wide tube through this funnel, which is therefore made of steel, as copper would be affected by the mercury. the upper ring _h_ is furnished with a cover _p_, which can be firmly pressed down on to the wide tube, and hermetically closes it by means of an india-rubber ring. the tube _r r_ can be raised at will, and so by pouring mercury into the funnel the height of the column of mercury, which produces pressure inside the apparatus, can be increased. the pressure can also be diminished at will, by letting mercury out through the cock _r_. a graduated tube _e_, containing the gas and liquid to be experimented on, is placed inside the wide tube. this tube is graduated in millimetres for determining the pressure, and it is calibrated for volume, so that the number of volumes occupied by the gas and liquid dissolving it can be easily calculated. this tube can also be easily removed from the apparatus. the lower portion of this tube when removed from the apparatus is shown to the right of the figure. it will be observed that its lower end is furnished with a male screw _b_, fitting in a nut _a_. the lower surface of the nut _a_ is covered with india-rubber, so that on screwing up the tube its lower end presses upon the india-rubber, and thus hermetically closes the whole tube, for its upper end is fused up. the nut _a_ is furnished with arms _c c_, and in the stand _f_ there are corresponding spaces, so that when the screwed-up internal tube is fixed into stand _f_, the arms _c c_ fix into these spaces cut in _f_. this enables the internal tube to be fixed on to the stand _f_. when the internal tube is fixed in the stand, the wide tube is put into its right position, and mercury and water are poured into the space between the two tubes, and communication is opened between the inside of the tube _e_ and the mercury between the interior and exterior tubes. this is done by either revolving the interior tube _e_, or by a key turning the nut about the bottom part of _f_. the tube _e_ is filled with gas and water as follows: the tube is removed from the apparatus, filled with mercury, and the gas to be experimented on is passed into it. the volume of the gas is measured, the temperature and pressure determined, and the volume it would occupy at ° and mm. calculated. a known volume of water is then introduced into the tube. the water must be previously boiled, so as to be quite freed from air in solution. the tube is then closed by screwing it down on to the india-rubber on the nut. it is then fixed on to the stand _f_, mercury and water are poured into the intervening space between it and the exterior tube, which is then screwed up and closed by the cover _p_, and the whole apparatus is left at rest for some time, so that the tube _e_, and the gas in it, may attain the same temperature as that of the surrounding water, which is marked by a thermometer _k_ tied to the tube _e_. the interior tube is then again closed by turning it in the nut, the cover _p_ again shut, and the whole apparatus is shaken in order that the gas in the tube _e_ may entirely saturate the water. after several shakings, the tube _e_ is again opened by turning it in the nut, and the apparatus is left at rest for a certain time; it is then closed and again shaken, and so on until the volume of gas does not diminish after a fresh shaking--that is, until saturation ensues. observations are then made of the temperature, the height of the mercury in the interior tube, and the level of the water in it, and also of the level of the mercury and water in the exterior tube. all these data are necessary in order to calculate the pressure under which the solution of the gas takes place, and what volume of gas remains undissolved, and also the quantity of water which serves as the solvent. by varying the temperature of the surrounding water, the amount of gas dissolved at various temperatures may be determined. bunsen, carius, and many others determined the solution of various gases in water, alcohol, and certain other liquids, by means of this apparatus. if in a determination of this kind it is found that _n_ cubic centimetres of water at a pressure _h_ dissolve _m_ cubic centimetres of a given gas, measured at ° and mm., when the temperature under which solution took place was _t_°, then it follows that at the temperature _t the co-efficient of solubility of the gas_ in volume of the liquid will be equal to _m_/_n_ × /_h_. this formula is very clearly understood from the fact that the co-efficient of solubility of gases is that quantity measured at ° and mm., which is absorbed at a pressure of mm. by one volume of a liquid. if _n_ cubic centimetres of water absorb _m_ cubic centimetres of a gas, then one cubic centimetre absorbs _m_/_n_. if _m_/_n_ c.c. of a gas are absorbed under a pressure of _h_ mm., then, according to the law of the variation of solubility of a gas with the pressure, there would he dissolved, under a pressure of mm., a quantity varying in the same ratio to _m_/_n_ as : _h_. in determining the residual volume of gas its moisture (note ) must be taken into consideration. below are given the number of grams of several substances saturating grams of water--that is, their co-efficients of solubility by weight at three different temperatures:-- +----------------------------------------------+--------+---------+ | | | | | at ° | at ° | at ° | +----------------------------------------------+--------+---------+ | {oxygen, o_{ } / | / | -- | |gases {carbonic anhydride, co_{ } / | / | -- | | {ammonia, nh_{ } · | · | · | | {phenol, c_{ }h_{ }o · | · | [oo] | |liquids {amyl alcohol, c_{ }h_{ }o · | · | -- | | {sulphuric acid, h_{ }so_{ } [oo] | [oo] | [oo] | | {gypsum, caso_{ }, h_{ }o / | / | / | | {alum, alks_{ }o_{ }, h_{ }o · | · | · | |solids {anhydrous sodium sulphate, · | | | | { na_{ }so_{ } | | | | {common salt, nacl · | · | · | | {nitre, kno_{ } · | · | · | +----------------------------------------------+--------+---------+ sometimes a substance is so slightly soluble that it may be considered as insoluble. many such substances are met with both in solids and liquids, and such a gas as oxygen, although it does dissolve, does so in so small a proportion by weight that it might be considered as zero did not the solubility of even so little oxygen play an important part in nature (as in the respiration of fishes) and were not an infinitesimal quantity of a gas by weight so easily measured by volume. the sign [oo], which stands on a line with sulphuric acid in the above table, indicates that it intermixes with water in all proportions. there are many such cases among liquids, and everybody knows, for instance, that spirit (absolute alcohol) can be mixed in any proportion with water. [ ] just as the existence must he admitted of substances which are completely undecomposable (chemically) at the ordinary temperature--and of substances which are entirely non-volatile at such a temperature (as wood and gold), although capable of decomposing (wood) or volatilising (gold) at a higher temperature--so also the existence must be admitted of substances which are totally insoluble in water without some degree of change in their state. although mercury is partially volatile at the ordinary temperature, there is no reason to think that it and other metals are soluble in water, alcohol, or other similar liquids. however, mercury forms solutions, as it dissolves other metals. on the other hand, there are many substances found in nature which are so very slightly soluble in water, that in ordinary practice they may be considered as insoluble (for example, barium sulphate). for the comprehension of that general plan according to which a change of state of substances (combined or dissolved, solid, liquid, or gaseous) takes place, it is very important to make a distinction at this boundary line (on approaching zero of decomposition, volatility, or solubility) between an insignificant amount and zero, but the present methods of research and the data at our disposal at the present time only just touch such questions (by studying the electrical conductivity of dilute solutions and the development of micro-organisms in them). it must be remarked, besides, that water in a number of cases does not dissolve a substance as such, but acts on it chemically and forms a soluble substance. thus glass and many rocks, especially if taken as powder, are chemically changed by water, but are not directly soluble in it. substances which are easily soluble in water bear a certain resemblance to it. thus sugar and salt in many of their superficial features remind one of ice. metals, which are not soluble in water, have no points in common with it, whilst on the other hand they dissolve each other in a molten state, forming alloys, just as oily substances dissolve each other; for example, tallow is soluble in petroleum and in olive oil, although they are all insoluble in water. from this it is evident that the _analogy of substances forming a solution_ plays an important part, and as aqueous and all other solutions are liquids, there is good reason to believe that in the process of solution solid and gaseous substances change in a physical sense, passing into a liquid state. these considerations elucidate many points of solution--as, for instance, the variation of the co-efficient of solubility with the temperature and the evolution or absorption of heat in the formation of solutions. the solubility--that is, the quantity of a substance necessary for saturation--_varies with the temperature_, and, further, with an increase in temperature the solubility of solid substances generally increases, and that of gases decreases; this might be expected, as solid substances by heating, and gases by cooling, approach to a liquid or dissolved state.[ ] a graphic method is often employed to express the variation of solubility with temperature. on the axis of abscissæ or on a horizontal line, temperatures are marked out and perpendiculars are raised corresponding with each temperature, whose length is determined by the solubility of the salt at that temperature--expressing, for instance, one part by weight of a salt in parts of water by one unit of length, such as a millimetre. by joining the summits of the perpendiculars, a curve is obtained which expresses the degree of solubility at different temperatures. for solids, the curve is generally an ascending one--_i.e._ recedes from the horizontal line with the rise in temperature. these curves clearly show by their inclination the degree of rapidity of increase in solubility with the temperature. having determined several points of a curve--that is, having made a determination of the solubility for several temperatures--the solubility at intermediary temperatures may be determined from the form of the curve so obtained; in this way the empirical law of solubility may be examined.[ ] the results of research have shown that the solubility of certain salts--as, for example, common table salt--varies comparatively little with the temperature; whilst for other substances the solubility increases by equal amounts for equal increments of temperature. thus, for example, for the saturation of parts of water by potassium chloride there is required at °, · parts, at °, · , at °, · , at °, · ; and so on, for every ° the solubility increases by · parts by weight of the salt. therefore the solubility of the potassium chloride in water may be expressed by a direct equation: _a_ = · + · _t_, where _a_ represents the solubility at _t_°. for other salts, more complicated equations are required. for example, for nitre: _a_ = · + · _t_ + · _t_^ + · _t_^ , which shows that when _t_ = ° _a_ = · , when _t_ = ° _a_ = · , and when _t_ = ° _a_ = · . [ ] beilby ( ) experimented on paraffin, and found that one litre of solid paraffin at ° weighed grams, and when liquid, at its melting-point °, grams, at °, grams, and at °, grams, from which the weight of a litre of liquefied paraffin would be · grams at ° if it could remain liquid at that temperature. by dissolving solid paraffin in lubricating oil at ° beilby found that · grams occupy one cubic decimetre, from which he concluded that the solution contained liquefied paraffin. [ ] gay-lussac was the first to have recourse to such a graphic method of expressing solubility, and he considered, in accordance with the general opinion, that by joining up the summits of the ordinates in one harmonious curve it is possible to express the entire change of solubility with the temperature. now, there are many reasons for doubting the accuracy of such an admission, for there are undoubtedly critical points in curves of solubility (for example, of sodium sulphate, as shown further on), and it may be that definite compounds of dissolved substances with water, in decomposing within known limits of temperature, give critical points more often than would be imagined; it may even be, indeed, that instead of a continuous curve, solubility should be expressed--if not always, then not unfrequently--by straight or broken lines. according to ditte, the solubility of sodium nitrate, nano_{ }, is expressed by the following figures per parts of water:-- ° ° ° ° ° ° ° ° ° · · · · · · · · · in my opinion ( ) these data should be expressed with exactitude by a straight line, · + · _t_, which entirely agrees with the results of experiment. according to this the figure expressing the solubility of salt at ° exactly coincides with the composition of a definite chemical compound--nano_{ }, h_{ }o. the experiments made by ditte showed that all saturated solutions between ° and - · ° have such a composition, and that at the latter temperature the solution completely solidifies into one homogeneous whole. between ° and - · ° the solution nano_{ }, h_{ }o does not deposit either salt or ice. thus the solubility of sodium nitrate is expressed by a broken straight line. in recent times ( ) Étard discovered a similar phenomenon in many of the sulphates. brandes, in , shows a diminution in solubility below ° for manganese sulphate. the percentage by weight (_i.e._ per parts of the solution, and not of water) of saturation for ferrous sulphate, feso_{ }, from - ° to + ° = · + · _t_--that is, the solubility of the salt increases. the solubility remains constant from ° to ° (according to brandes the solubility then increases; this divergence of opinion requires proof), and from ° to ° it falls as = · - · _t_. hence, at about + ° the solubility should = , and this has been confirmed by experiment. i observe, on my part, that Étard's formula gives · p.c. of salt at ° and · p.c. at °, and this maximum amount of salt in the solution very nearly corresponds with the composition feso_{ }, h_{ }o, which requires · p.c. from what has been said, it is evident that the data concerning solubility require a new method of investigation, which should have in view the entire scale of solubility--from the formation of completely solidified solutions (cryohydrates, which we shall speak of presently) to the separation of salts from their solutions, if this is accomplished at a higher temperature (for manganese and cadmium sulphates there is an entire separation, according to Étard), or to the formation of a constant solubility (for potassium sulphate the solubility, according to Étard, remains constant from ° to ° and equals · p.c.) (see chapter xiv., note , solubility of cacl_{ }.) curves of solubility give the means of estimating the _amount of salt separated_ by the cooling to a known extent of a solution saturated at a given temperature. for instance, if parts of a solution of potassium chloride in water saturated at a temperature of ° be taken, and it be asked how much of the salt will be separated by cooling the solution to °, if its solubility at ° = · and at ° = · ? the answer is obtained in the following manner: at ° a saturated solution contains · parts of potassium chloride per parts by weight of water, consequently · parts by weight of the solution contain · parts, or, by proportion, parts by weight of the solution contain · parts of the salt. the amount of salt remaining in solution at ° is calculated as follows; in grams taken there will be · grams of water; consequently, this amount of water is capable of holding only · grams of the salt, and therefore in lowering the temperature from ° to ° there should separate from the solution · - · = · grams of the dissolved salt. the difference in the solubility of salts, &c., with a rise or fall of temperature is often taken advantage of, especially in technical work, for the separation of salts, in intermixture from each other. thus a mixture of potassium and sodium chlorides (this mixture is met with in nature at stassfurt) is separated from a saturated solution by subjecting it alternately to boiling (evaporation) and cooling. the sodium chloride separates out in proportion to the amount of water expelled from the solution by boiling, and is removed, whilst the potassium chloride separates out on cooling, as the solubility of this salt rapidly decreases with a lowering in temperature. nitre, sugar, and many other soluble substances are purified (refined) in a similar manner. although in the majority of cases the solubility of solids increases with the temperature, yet there are some solid substances whose solubilities decrease on heating. glauber's salt, or sodium sulphate, forms a particularly instructive example of the case in question. if this salt be taken in an ignited state (deprived of its water of crystallisation), then its solubility in parts of water varies with the temperature in the following manner: at °, parts of the salt form a saturated solution; at °, parts of the salt, at ° more than parts. the solubility, as will be seen, increases with the temperature, as is the case with nearly all salts; but starting from ° it suddenly diminishes, and at a temperature of °, less than parts of the salt dissolve, at ° only parts of the salt, and at ° about parts of the salt in parts of water. this phenomenon may be traced to the following facts: firstly, that this salt forms various compounds with water, as will be afterwards explained; secondly, that at ° the compound na_{ }so_{ } + h_{ }o formed from the solution at lower temperatures, melts; and thirdly, that on evaporation at a temperature above ° an anhydrous salt, na_{ }so_{ } separates out. it will be seen from this example how complicated such an apparently simple phenomenon as solution really is; and all data concerning solutions lead to the same conclusion. this complexity becomes evident in investigating the _heat of solution_. if solution consisted of a physical change only, then in the solution of gases there would be evolved--and in the solution of solids, there would be absorbed--just that amount of heat corresponding to the change of state; but in reality a large amount of heat is always evolved in solution, depending on the fact that in the process of solution chemical combination takes place accompanied by an evolution of heat. seventeen grams of ammonia (this weight corresponds with its formula nh_{ }), in passing from a gaseous into a liquid state, evolve , units of heat (latent heat); that is, the quantity of heat necessary to raise the temperature of , grams of water °. the same quantity of ammonia, in dissolving in an excess of water, evolves twice as much heat--namely , units--showing that the combination with water is accompanied by the evolution of , units of heat. further, the chief part of this heat is separated in dissolving in small quantities of water, so that grams of ammonia, in dissolving in grams of water (this weight corresponds with its composition h_{ }o), evolve , units of heat, and therefore the formation of the solution nh_{ } + h_{ }o evolves , units of heat beyond that due to the change of state. as in the solution of gases, the heat of liquefaction (of physical change of state) and of chemical combination with water are both positive (+), therefore in the _solution of gases_ in water a _heat effect_ is always observed. this phenomenon is different in the solution of solid substances, because their passage from a solid to a liquid state is accompanied by an absorption of heat (negative,-heat), whilst their chemical combination with water is accompanied by an evolution of heat (+ heat); consequently, their sum may either be a cooling effect, when the positive (chemical) portion of heat is less than the negative (physical), or it may be, on the contrary, a heating effect. this is actually the case. grams of sodium thiosulphate (employed in photography) na_{ }s_{ }o_{ }, h_{ }o in melting (at °) absorbs , units of heat, but in dissolving in a large quantity of water at the ordinary temperature it absorbs , units of heat, which shows the evolution of heat (about + , units), notwithstanding the cooling effect observed in the process of solution, in the act of the chemical combination of the salt with water.[ ] but in most cases solid substances in dissolving in water evolve heat, notwithstanding the passage into a liquid state, which indicates so considerable an evolution of (+) heat in the act of combination with water that it exceeds the absorption of (-) heat dependent on the passage into a liquid state, thus, for instance, calcium chloride, cacl_{ }, magnesium sulphate, mgso_{ }, and many other salts evolve heat in dissolving; for example, grams of magnesium sulphate evolve about , units of heat. therefore, _in the solution of solid bodies_ either a cooling[ ] or a heating[ ] effect is produced, according to the difference of the reacting affinities. when they are considerable--that is, when water is with difficulty separated from the resultant solution, and only with a rise of temperature (such substances absorb water vapour)--then much heat is evolved in the process of solution, just as in many reactions of direct combination, and therefore a considerable heating of the solution is observed. of such a kind, for instance, is the solution of sulphuric acid (oil of vitriol h_{ }so_{ }), and of caustic soda (naho), &c., in water.[ ] [ ] the latent heat of fusion is determined at the temperature of fusion, whilst solution takes place at the ordinary temperature, and one must think that at this temperature the latent heat would be different, just as the latent heat of evaporation varies with the temperature (see note ). besides which, in dissolving, disintegration of the particles of both the solvent and the substance dissolved takes place, a process which in its mechanical aspect resembles evaporation, and therefore must consume much heat. the heat emitted in the solution of a solid must therefore be considered (personne) as composed of three factors--( ) positive, the effect of combination; ( ) negative, the effect of transference into a liquid state; and ( ) negative, the effect of disintegration. in the solution of a liquid by a liquid the second factor is removed; and therefore, if the heat evolved in combination is greater than that absorbed in disintegration a heating effect is observed, and in the reverse case a cooling effect; and, indeed, sulphuric acid, alcohol, and many liquids evolve heat in dissolving in each other. but the solution of chloroform in carbon bisulphide (bussy and binget), or of phenol (or aniline) in water (alexéeff), produces cold. in the solution of a small quantity of water in acetic acid (abasheff), or hydrocyanic acid (bussy and binget), or amyl alcohol (alexéeff), cold is produced, whilst in the solution of these substances in an excess of water heat is evolved. the relation existing between the solubility of solid bodies and the heat and temperature of fusion and solution has been studied by many investigators, and more recently ( ) by schröder, who states that in the solution of a solid body in a solvent which does not act chemically upon it, a very simple process takes place, which differs but little from the intermixture of two gases which do not react chemically upon each other. the following relation between the heat of solution _q_ and the heat of fusion _p_ may then be taken: _p_/_t__{ } = _q_/_t_ = constant, where _t__{ } and _t_ are the absolute (from - °) temperatures of fusion and saturation. thus, for instance, in the case of naphthalene the calculated and observed magnitudes of the heat of solution differ but slightly from each other. the fullest information concerning the solution of liquids in liquids has been gathered by w. t. alexéeff ( - ); these data are, however, far from being sufficient to solve the mass of problems respecting this subject. he showed that two liquids which dissolve in each other, intermix together in all proportions at a certain temperature. thus the solubility of phenol, c_{ }h_{ }o, in water, and the converse, is limited up to °, whilst above this temperature they intermix in all proportions. this is seen from the following figures, where p is the percentage amount of phenol and _t_ the temperature at which the solution becomes turbid--that is, that at which it is saturated:-- _p_ = · · · · · · · · · _t_ = ° ° ° ° ° ° ° ° ° it is exactly the same with the solution of benzene, aniline, and other substances in molten sulphur. alexéeff discovered a similar complete intermixture for solutions of secondary butyl alcohol in water at about °; at lower temperatures the solubility is not only limited, but between ° and ° it is at its minimum, both for solutions of the alcohol in water and for water in the alcohol; and at a temperature of ° both solutions exhibit a fresh change in their scale of solubility, so that a solution of the alcohol in water which is saturated between ° and ° will become turbid when heated to °. in the solution of liquids in liquids, alexéeff observed a lowering in temperature (an absorption of heat) and an absence of change in specific heat (calculated for the mixture) much more frequently than had been done by previous observers. as regards his hypothesis (in the sense of a mechanical and not a chemical representation of solutions) that substances in solution preserve their physical states (as gases, liquids, or solids), it is very doubtful, for it would necessitate admitting the presence of ice in water or its vapour. from what has been said above, it will be clear that even in so very simple a case as solution, it is impossible to calculate the heat emitted by chemical action alone, and that the chemical process cannot be separated from the physical and mechanical. [ ] the cooling effect produced in the solution of solids (and also in the expansion of gases and in evaporation) is applied to the _production of low temperatures_. ammonium nitrate is very often used for this purpose; in dissolving in water it absorbs units of heat per each part by weight. on evaporating the solution thus formed, the solid salt is re-obtained. the application of the various _freezing mixtures_ is based on the same principle. snow or broken ice frequently enters into the composition of these _mixtures_, advantage being taken of its latent heat of fusion in order to obtain the lowest possible temperature (without altering the pressure or employing heat, as in other methods of obtaining a low temperature). for laboratory work recourse is most often had to a mixture of three parts of snow and one part of common salt, which causes the temperature to fall from ° to - ° c. potassium thiocyanate, kcns, mixed with water ( / by weight of the salt) gives a still lower temperature. by mixing ten parts of crystallised calcium chloride, cacl_{ }, h_{ }o, with seven parts of snow, the temperature may even fall from ° to - °. [ ] the heat which is evolved in solution, or even in the dilution of solutions, is also sometimes made use of in practice. thus caustic soda (naho), in dissolving or on the addition of water to a strong solution of it, evolves so much heat that it can replace fuel. in a steam boiler, which has been previously heated to the boiling point, another boiler is placed containing caustic soda, and the exhaust steam is made to pass through the latter; the formation of steam then goes on for a somewhat long period of time without any other heating. norton makes use of this for smokeless street locomotives. [ ] [illustration: fig. .--curves expressing the contraction, quantity of heat, and rises of temperature produced by mixing sulphuric acid with water. percentage of h_{ }so_{ } is given along the axis of abscissae.] the temperatures obtained by mixing monohydrated sulphuric acid, h_{ }so_{ }, with different quantities of water, are shown on the lowest curve in fig. , the relative proportions of both substances being expressed in percentages by weight along the horizontal axis. the greatest rise of temperature is °. it corresponds with the greatest evolution of heat (given on the middle curve) corresponding with a definite volume ( c.c.) of the solution produced. the top curve expresses the degree of contraction, which also corresponds with volumes of the solution produced. the greatest contraction, as also the greatest rise of temperature, corresponds with the formation of a trihydrate, h_{ }so_{ }, h_{ }o (= · p.c. h_{ }so_{ }), which very likely repeats itself in a similar form in other solutions, although all the phenomena (of contraction, evolution of heat, and rise of temperature) are very complex and are dependent on many circumstances. one would think, however, judging from the above examples, that all other influences are feebler in their action than chemical attraction, especially when it is so considerable as between sulphuric acid and water. solution is a reversible reaction; for, if the water be expelled from a solution, the substance originally taken is obtained again. but it must be borne in mind that the expulsion of the water taken for solution is not always accomplished with equal facility, because water has different degrees of chemical affinity for the substance dissolved. thus, if a solution of sulphuric acid, which mixes with water in all proportions, be heated, it will be found that very different degrees of heat are required to expel the water. when it is in a large excess, water is given off at a temperature slightly above °, but if it be in but a small proportion there is such an affinity between it and the sulphuric acid that at °, °, °, and even at °, water is still retained by the sulphuric acid. the bond between the remaining quantity of water and the sulphuric acid is evidently stronger than the bond between the sulphuric acid and the excess of water. the force acting in solutions is consequently of different intensity, starting from so feeble an attraction that the properties of water--as, for instance, its power of evaporation--are but very little changed, and ending with cases of strong attraction between the water and the substance dissolved in or chemically combined with it. in consideration of the very important significance of the phenomena, and of the cases of the breaking up of solutions with separation of water or of the substance dissolved from them, we shall further discuss them separately, after having acquainted ourselves with certain peculiarities of the solution of gases and of solid bodies. the solubility of gases, which is usually measured by the volume of gas[ ] (at ° and mm. pressure) per volumes of water, varies not only with the nature of the gas (and also of the solvent), and with the temperature, but also with the pressure, because gases themselves change their volume considerably with the pressure. as might be expected, ( ) gases which are easily liquefied (by pressure and cold) are more soluble than those which are liquefied with difficulty. thus, in volumes of water only two volumes of hydrogen dissolve at ° and mm., three volumes of carbonic oxide, four volumes of oxygen, &c., for these are gases which are liquefied with difficulty; whilst there dissolve volumes of carbonic anhydride, of nitrous oxide, and of sulphurous anhydride, for these are gases which are rather easily liquefied. ( ) the solubility of a gas is diminished by heating, which is easily intelligible from what has been said previously--the elasticity of a gas becomes greater, it is removed further from a liquid state. thus volumes of water at ° dissolve · volumes of air, and at ° only · volume. for this reason cold water, when brought into a warm room, parts with a portion of the gas dissolved in it.[ ] ( ) the quantity of the gas dissolved varies directly with the pressure. this rule is called the _law of henry and dalton_, and is applicable to those gases which are little soluble in water. therefore a gas is separated from its solution in water in a vacuum, and water saturated with a gas under great pressure parts with it if the pressure be diminished. thus many mineral springs are saturated underground with carbonic anhydride under the great pressure of the column of water above them. on coming to the surface, the water of these springs boils and foams on giving up the excess of dissolved gas. sparkling wines and aërated waters are saturated under pressure with the same gas. they hold the gas so long as they are in a well-corked vessel. when the cork is removed and the liquid comes in contact with air at a lower pressure, part of the gas, unable to remain in solution at a lower pressure, is separated as froth with the hissing sound familiar to all. it must be remarked that the law of henry and dalton belongs to the class of _approximate laws_, like the laws of gases (gay-lussac's and mariotte's) and many others--that is, it expresses only a portion of a complex phenomenon, the limit towards which the phenomenon aims. the matter is rendered complicated from the influence of the degree of solubility and of affinity of the dissolved gas for water. gases which are little soluble--for instance, hydrogen, oxygen, and nitrogen--follow the law of henry and dalton the most closely. carbonic anhydride exhibits a decided deviation from the law, as is seen from the determinations of wroblewski ( ). he showed that at ° a cubic centimetre of water absorbs · cubic centimetre of the gas under a pressure of one atmosphere; under atmospheres, cubic centimetres (and not , as it should be according to the law); under atmospheres, · cubic centimetres (instead of ), and under atmospheres, · cubic centimetres.[ ] however, as the researches of sechenoff show, the absorption of carbonic anhydride within certain limits of change of pressure, and at the ordinary temperature, by water--and even by solutions of salts which are not chemically changed by it, or do not form compounds with it--very closely follows the law of henry and dalton, so that the chemical bond between this gas and water is so feeble that the breaking up of the solution with separation of the gas is accomplished by a decrease of pressure alone.[ ] the case is different if a considerable affinity exists between the dissolved gas and water. then it might even be expected that the gas would not be entirely separated from water in a vacuum, as should be the case with gases according to the law of henry and dalton. such gases--and, in general, all those which are very soluble--exhibit a distinct deviation from the law of henry and dalton. as examples, ammonia and hydrochloric acid gas may be taken. the former is separated by boiling and decrease of pressure, while the latter is not, but they both deviate distinctly from the law. +---------------+-----------------+--------------------+ |pressure in mm.|ammonia dissolved| hydrochloric acid | | of mercury | in grams of |gas dissolved in | | | water at ° |grams of water at °| +---------------+-----------------+--------------------+ | | grams | grams | | | · | · | | | · | · | | , | · | · | | , | · | -- | +---------------+-----------------+--------------------+ [ ] if a volume of gas _v_ be measured under a pressure of _h_ mm. of mercury (at °) and at a temperature _t_° centigrade, then, according to the combined laws of boyle, mariotte, and of gay-lussac, its volume at ° and mm. will equal the product of _v_ into divided by the product of _h_ into + _a__t_°, where _a_ is the co-efficient of expansion of gases, which is equal to · . the weight of the gas will be equal to its volume at ° and mm. multiplied by its density referred to air and by the weight of one volume of air at ° and mm. the weight of one litre of air under these conditions being = · gram. if the density of the gas be given in relation to hydrogen this must be divided by · to bring it in relation to air. if the gas be measured when saturated with aqueous vapour, then it must be reduced to the volume and weight of the gas when dry, according to the rules given in note . if the pressure be determined by a column of mercury having a temperature _t_, then by dividing the height of the column by + · _t_ the corresponding height at ° is obtained. if the gas be enclosed in a tube in which a liquid stands above the level of the mercury, the height of the column of the liquid being = h and its density = d, then the gas will be under a pressure which is equal to the barometric pressure less hd/ · , where · is the density of mercury. by these methods the _quantity of a gas_ is determined, and its observed volume reduced to normal conditions or to parts by weight. the physical data concerning vapours and gases must be continually kept in sight in dealing with and measuring gases. the student must become perfectly familiar with the calculations relating to gases. [ ] according to bunsen, winkler, timofeeff, and others, vols. of water under a pressure of one atmosphere absorb the following volumes of gas (measured at ° and mm.):-- ° · · · · · · · · · · ° · · · · · · · · · · , oxygen; , nitrogen; , hydrogen; , carbonic anhydride; , carbonic oxide; , nitrous oxide; , hydrogen sulphide; , sulphurous anhydride; , marsh gas; , ammonia; , nitric oxide. the decrease of solubility with a rise of temperature varies for different gases; it is greater, the greater the molecular weight of the gas. it is shown by calculation that this decrease varies (winkler) as the cube root of the molecular weight of the gas. this is seen from the following table: +--------------+-------------+---------------+ | decrease of | cube root of| ratio between | | solubility | molecular | decrease and | | per ° in | weight. | cube root of | | per cent. | | mol. wt. | +--------------+-------------+---------------+ | h_{ } · | · | · | | n_{ } · | · | · | | co · | · | · | | no · | · | · | | o_{ } · | · | · | +--------------+-------------+---------------+ the decrease in the coefficient of absorption with the temperature must be connected with a change in the physical properties of the water. winkler ( ) remarked a certain relation between the internal friction and the coefficient of absorption at various temperatures. [ ] these figures show that the co-efficient of solubility decreases with an increase of pressure, notwithstanding that the carbonic anhydride approaches a liquid state. as a matter of fact, liquefied carbonic anhydride does not intermix with water, and does not exhibit a rapid increase in solubility at its temperature of liquefaction. this indicates, in the first place, that solution does not consist in liquefaction, and in the second place that the solubility of a substance is determined by a peculiar attraction of water for the substance dissolving. wroblewski even considered it possible to admit that a dissolved gas retains its properties as a gas. this he deduced from experiments, which showed that the rate of diffusion of gases in a solvent is, for gases of different densities, inversely proportional to the square roots of their densities, just as the velocities of gaseous molecules (see note ). wroblewski showed the affinity of water, h_{ }o, for carbonic anhydride, co_{ }, from the fact that on expanding moist compressed carbonic anhydride (compressed at ° under a pressure of atmospheres) he obtained (a fall in temperature takes place from the expansion) a very unstable definite crystalline compound, co_{ } + h_{ }o. [ ] as, according to the researches of roscoe and his collaborators, ammonia exhibits a considerable deviation at low temperatures from the law of henry and dalton, whilst at ° the deviation is small, it would appear that the dissociating influence of temperature affects all gaseous solutions; that is, at high temperatures, the solutions of all gases will follow the law, and at lower temperatures there will in all cases be a deviation from it. it will be remarked, for instance, from this table that whilst the pressure increased times, the solubility of ammonia only increased - / times. a number of examples of such cases of the absorption of gases by liquids might be cited which do not in any way, even approximately, agree with the laws of solubility. thus, for instance, carbonic anhydride is absorbed by a solution of caustic potash in water, and if sufficient caustic potash be present it is not separated from the solution by a decrease of pressure. this is a case of more intimate chemical combination. a correlation less completely studied, but similar and clearly chemical, appears in certain cases of the solution of gases in water, and we shall afterwards find an example of this in the solution of hydrogen iodide; but we will first stop to consider a remarkable application of the law of henry and dalton[ ] in the case of the solution of a mixture of two gases, and this we must do all the more because the phenomena which there take place cannot be foreseen without a clear theoretical representation of the nature of gases.[ ] [ ] the ratio between the pressure and the amount of gas dissolved was discovered by henry in , and dalton in pointed out the adaptability of this law to cases of gaseous mixtures, introducing the conception of partial pressures which is absolutely necessary for a right comprehension of dalton's law. the conception of partial pressures essentially enters into that of the diffusion of vapours in gases (footnote ); for the pressure of damp air is equal to the sum of the pressures of dry air and of the aqueous vapour in it, and it is admitted as a corollary to dalton's law that evaporation in dry air takes place as in a vacuum. it is, however, necessary to remark that the volume of a mixture of two gases (or vapours) is only approximately equal to the sum of the volumes of its constituents (the same, naturally, also refers to their pressures)--that is to say, in mixing gases a change of volume occurs, which, although small, is quite apparent when carefully measured. for instance, in brown showed that on mixing various volumes of sulphurous anhydride (so_{ }) with carbonic anhydride (at equal pressures of mm. and equal temperatures) a decrease of pressure of · millimetres of mercury was observed. the possibility of a chemical action in similar mixtures is evident from the fact that equal volumes of sulphurous and carbonic anhydrides at - ° form, according to pictet's researches in , a liquid which may be regarded as an unstable chemical compound, or a solution similar to that given when sulphurous anhydride and water combine to an unstable chemical whole. [ ] the origin of the kinetic theory of gases now generally accepted, according to which they are animated by a rapid progressive motion, is very ancient (bernouilli and others in the last century had already developed a similar representation), but it was only generally accepted after the mechanical theory of heat had been established, and after the work of krönig ( ), and especially after its mathematical side had been worked out by clausius and maxwell. the pressure, elasticity, diffusion, and internal friction of gases, the laws of boyle, mariotte, and of gay-lussac and avogadro-gerhardt are not only explained (deduced) by the kinetic theory of gases, but also expressed with perfect exactitude; thus, for example, the magnitude of the internal friction of different gases was foretold with exactitude by maxwell, by applying the theory of probabilities to the impact of gaseous particles. the kinetic theory of gases must therefore be considered as one of the most brilliant acquisitions of the latter half of the present century. the velocity of the progressive motion of the particles of a gas, one cubic centimetre of which weighs _d_ grams, is found, according to the theory, to be equal to the square root of the product of _pdq_ divided by _d_, where _p_ is the pressure under which _d_ is determined expressed in centimetres of the mercury column, _d_ the weight of a cubic centimetre of mercury in grams (_d_ = · , _p_ = , consequently the normal pressure = , grams on a sq. cm.), and _g_ the acceleration of gravity in centimetres (_g_ = · , at the sea level and long. ° = · at st. petersburg; in general it varies with the longitude and altitude of the locality). therefore, at ° the velocity of hydrogen is , , and of oxygen , metres per second. this is the average velocity, and (according to maxwell and others) it is probable that the velocities of individual particles are different; that is, they occur in, as it were, different conditions of temperature, which it is very important to take into consideration in investigating many phenomena proper to matter. it is evident from the above determination of the velocity of gases, that different gases at the same temperature and pressure have average velocities, which are inversely proportional to the square roots of their densities; this is also shown by direct experiment on the flow of gases through a fine orifice, or through a porous wall. this _dissimilar velocity of flow_ for different gases is frequently taken advantage of in chemical researches (see chap. ii. and also chap. vii.) in order to separate two gases having different densities and velocities. the difference of the velocity of flow of gases also determines the phenomenon cited in the following footnote for demonstrating the existence of an internal motion in gases. if for a certain mass of a gas which fully and exactly follows the laws of mariotte and gay-lussac the temperature _t_ and the pressure _p_ be changed simultaneously, then the entire change would be expressed by the equation _pv_ = _c_( + _at_), or, what is the same, _pv_ = _rt_, where _t_ = _t_ + and _c_ and _r_ are constants which vary not only with the units taken but with the nature of the gas and its mass. but as there are discrepancies from both the fundamental laws of gases (which will be discussed in the following chapter), and as, on the one hand, a certain attraction between the gaseous molecules must be admitted, while on the other hand the molecules of gases themselves must occupy a portion of a space, hence for ordinary gases, within any considerable variation of pressure and temperature, recourse should be had to van der waal's formula-- (_p_ + _a_/_v_^ )(_v_-_p_) = r( + _at_) where _a_ is the true co-efficient of expansion of gases. the formula of van der waals has an especially important significance in the case of the passage of a gas into a liquid state, because the fundamental properties of both gases and liquids are equally well expressed by it, although only in their general features. the further development of the questions referring to the subjects here touched on, which are of especial interest for the theory of solutions, must be looked for in special memoirs and works on theoretical and physical chemistry. a small part of this subject will be partially considered in the footnotes of the following chapter. _the law of partial pressures_ is as follows:--the solubility of gases in intermixture with each other does not depend on the influence of the total pressure acting on the mixture, but on the influence of that portion of the total pressure which is due to the volume of each given gas in the mixture. thus, for instance, if oxygen and carbonic anhydride were mixed in equal volumes and exerted a pressure of millimetres, then water would dissolve so much of each of these gases as would be dissolved if each separately exerted a pressure of half an atmosphere, and in this case, at ° one cubic centimetre of water would dissolve · cubic centimetre of oxygen and · cubic centimetre of carbonic anhydride. if the pressure of a gaseous mixture equals _h_, and in _n_ volumes of the mixture there be _a_ volumes of a given gas, then its solution will proceed as though this gas were dissolved under a pressure (_h_ × _a_)/_n_. that portion of the pressure under influence of which the solution proceeds is termed the 'partial' pressure. in order to clearly understand the cause of the law of partial pressures, an explanation must be given of the fundamental properties of gases. gases are elastic and disperse in all directions. we are led from what we know of gases to the assumption that these fundamental properties of gases are due to a rapid progressive motion, in all directions, which is proper to their smallest particles (molecules).[ ] these molecules in impinging against an obstacle produce a pressure. the greater the number of molecules impinging against an obstacle in a given time, the greater the pressure. the pressure of a separate gas or of a gaseous mixture depends on the sum of the pressures of all the molecules, on the number of blows in a unit of time on a unit of surface, and on the mass and velocity (or the _vis viva_) of the impinging molecules. the nature of the different molecules is of no account; the obstacle is acted on by a pressure due to the sum of their _vis viva_. but, in a chemical action such as the solution of gases, the nature of the impinging molecules plays, on the contrary, the most important part. in impinging against a liquid, a portion of the gas enters into the liquid itself, and is held by it so long as other gaseous molecules impinge against the liquid--exert a pressure on it. as regards the solubility of a given gas, for the number of blows it makes on the surface of a liquid, it is immaterial whether other molecules of gases impinge side by side with it or not. hence, the solubility of a given gas will be proportional, not to the total pressure of a gaseous mixture, but to that portion of it which is due to the given gas separately. moreover, the saturation of a liquid by a gas depends on the fact that the molecules of gases that have entered into a liquid do not remain at rest in it, although they enter in a harmonious kind of motion with the molecules of the liquid, and therefore they throw themselves off from the surface of the liquid (just like its vapour if the liquid be volatile). if in a unit of time an equal number of molecules penetrate into (leap into) a liquid and leave (or leap out of) a liquid, it is saturated. it is a case of mobile equilibrium, and not of rest. therefore, if the pressure be diminished, the number of molecules departing from the liquid will exceed the number of molecules entering into the liquid, and a fresh state of mobile equilibrium only takes place under a fresh equality of the number of molecules departing from and entering into the liquid. in this manner the main features of the solution are explained, and furthermore of that special (chemical) attraction (penetration and harmonious motion) of a gas for a liquid, which determines both the measure of solubility and the degree of stability of the solution produced. [ ] although the actual motion of gaseous molecules, which is accepted by the kinetic theory of gases, cannot be seen, yet its existence may be rendered evident by taking advantage of the difference in the velocities undoubtedly belonging to different gases which are of different densities under equal pressures. the molecules of a light gas must move more rapidly than the molecules of a heavier gas in order to produce the same pressure. let us take, therefore, two gases--hydrogen and air; the former is · times lighter than the latter, and hence the molecules of hydrogen must move almost four times more quickly than air (more exactly · , according to the formula given in the preceding footnote). consequently, if a porous cylinder containing air is introduced into an atmosphere of hydrogen, then in a given time the volume of hydrogen which succeeds in entering the cylinder will be greater than the volume of air leaving the cylinder, and therefore the pressure inside the cylinder will rise until the gaseous mixture (of air and hydrogen) attains an equal density both inside and outside the cylinder. if now the experiment be reversed and air surround the cylinder, and hydrogen be inside the cylinder, then more gas will leave the cylinder than enters it, and hence the pressure inside the cylinder will be diminished. in these considerations we have replaced the idea of the number of molecules by the idea of volumes. we shall learn subsequently that equal volumes of different gases contain an equal number of molecules (the law of avogadro-gerhardt), and therefore instead of speaking of the number of molecules we can speak of the number of volumes. if the cylinder be partially immersed in water the rise and fall of the pressure can be observed directly, and the experiment consequently rendered self-evident. the consequences of the law of partial pressures are exceedingly numerous and important. all liquids in nature are in contact with the atmosphere, which, as we shall afterwards see more fully, consists of an intermixture of gases, chiefly four in number--oxygen, nitrogen, carbonic anhydride, and aqueous vapour. volumes of air contain, approximately, volumes of nitrogen, and about volumes of oxygen; the quantity of carbonic anhydride, by volume, does not exceed · . under ordinary circumstances, the quantity of aqueous vapour is much greater than this, but it varies of course with climatic conditions. we conclude from these numbers that the solution of nitrogen in a liquid in contact with the atmosphere will proceed under a partial pressure of ( / ) × mm. if the atmospheric pressure equal mm.; similarly, under a pressure of mm. of mercury, the solution of oxygen will proceed under a partial pressure of about mm., and the solution of carbonic anhydride only under the very small pressure of · mm. as, however, the solubility of oxygen in water is twice that of nitrogen, the ratio of o to n dissolved in water will be greater than the ratio in air. it is easy to calculate what quantity of each of the gases will be contained in water, and taking the simplest case we will calculate what quantity of oxygen, nitrogen, and carbonic anhydride will be dissolved from air having the above composition at ° and mm. pressure. under a pressure of mm. cubic centimetre of water dissolves · cubic centimetre of nitrogen or under the partial pressure of mm. it will dissolve · × / , or · cubic centimetre; of oxygen · × / , or · cubic centimetre; of carbonic anhydride · × · / or · cubic centimetre: hence, cubic centimetres of water will contain at ° altogether · cubic centimetres of atmospheric gases, and volumes of air dissolved in water will contain about p.c. of nitrogen, p.c. of oxygen, and p.c. of carbonic anhydride. the water of rivers, wells, &c. usually contains more carbonic anhydride. this proceeds from the oxidation of organic substances falling into the water. the amount of oxygen, however, dissolved in water appears to be actually about / the dissolved gases, whilst air contains only / of it by volume. according to the law of partial pressures, whatever gas be dissolved in water will be expelled from the solution in an atmosphere of another gas. this depends on the fact that gases dissolved in water escape from it in a vacuum, because the pressure is nil. an atmosphere of another gas acts like a vacuum on a gas dissolved in water. separation then proceeds, because the molecules of the dissolved gas no longer impinge upon the liquid, are not dissolved in it, and those previously held in solution leave the liquid in virtue of their elasticity.[ ] for the same reason a gas may be entirely expelled from a gaseous solution by boiling--at least, in many cases when it does not form particularly stable compounds with water. in fact the surface of the boiling liquid will be occupied by aqueous vapour, and therefore all the pressure acting on the gas will be due to the aqueous vapour. on this account, the partial pressure of the dissolved gas will be very inconsiderable, and this is the sole reason why _a gas separates from a solution on boiling the liquid containing it_. at the boiling point of water the solubility of gases in water is still sufficiently great for a considerable quantity of a gas to remain in solution. the gas dissolved in the liquid is carried away, together with the aqueous vapour; if boiling be continued for a long time, all the gas will finally be separated.[ ] [ ] here two cases occur; either the atmosphere surrounding the solution may be limited, or it may be proportionally so vast as to be unlimited, like the earth's atmosphere. if a gaseous solution be brought into an atmosphere of another gas which is limited--for instance, as in a closed vessel--then a portion of the gas held in solution will be expelled, and thus pass over into the atmosphere surrounding the solution, and will produce its partial pressure. let us imagine that water saturated with carbonic anhydride at ° and under the ordinary pressure is brought into an atmosphere of a gas which is not absorbed by water; for instance, that c.c. of an aqueous solution of carbonic anhydride is introduced into a vessel holding c.c. of such a gas. the solution will contain c.c. of carbonic anhydride. the expulsion of this gas proceeds until a state of equilibrium is arrived at. the liquid will then contain a certain amount of carbonic anhydride, which is retained under the partial pressure of that gas which has been expelled. now, how much gas will remain in the liquid and how much will pass over into the surrounding atmosphere? in order to solve this problem, let us suppose that _x_ cubic centimetres of carbonic anhydride are retained in the solution. it is evident that the amount of carbonic anhydride which passed over into the surrounding atmosphere will be -_x_, and the total volume of gas will be + -_x_ or -_x_ cubic centimetres. the partial pressure under which the carbonic anhydride is then dissolved will be (supposing that the common pressure remains constant the whole time) equal to ( -_x_)/( -_x_), hence there is not in solution c.c. of carbonic anhydride (as would be the case were the partial pressure equal to the atmospheric pressure), but only ( -_x_)/( -_x_), which is equal to _x_, and we therefore obtain the equation ( -_x_)/( -_x_) = _x_, hence _x_ = · . again, where the atmosphere into which the gaseous solution is introduced is not only that of another gas but also unlimited, then the gas dissolved will, on passing over from the solution, diffuse into this atmosphere, and produce an infinitely small pressure in the unlimited atmosphere. consequently, no gas can be retained in solution under this infinitely small pressure, and it will be entirely expelled from the solution. for this reason water saturated with a gas which is not contained in air, will be entirely deprived of the dissolved gas if left exposed to the air. water also passes off from a solution into the atmosphere, and it is evident that there might be such a case as a constant proportion between the quantity of water vaporised and the quantity of a gas expelled from a solution, so that not the gas alone, but the entire gaseous solution, would pass off. a similar case is exhibited in solutions which are not decomposed by heat (such as those of hydrogen chloride and iodide), as will afterwards be considered. [ ] however, in those cases when the variation of the co-efficient of solubility with the temperature is not sufficiently great, and when a known quantity of aqueous vapour and of the gas passes off from a solution at the boiling point, an atmosphere may be obtained having the same composition as the liquid itself. in this case the amount of gas passing over into such an atmosphere will not be greater than that held by the liquid, and therefore such a gaseous solution will distil over unchanged. the solution will then represent, like a solution of hydriodic acid in water, a liquid which is not altered by distillation, while the pressure under which this distillation takes place remains constant. thus in all its aspects solution presents gradations from the most feeble affinities to examples of intimate chemical combination. the _amount of heat_ evolved in the solution of equal volumes of different gases is in distinct relation with these variations of stability and solubility of different gases. · litres of the following gases (at mm. pressure) evolve the following number of (gram) units of heat in dissolving in a large mass of water; carbonic anhydride , , sulphurous anhydride , , ammonia , , hydrochloric acid , , and hydriodic acid , . the two last-named gases, which are not expelled from their solution by boiling, evolve approximately twice as much heat as gases like ammonia, which are separated from their solutions by boiling, whilst gases which are only slightly soluble evolve very much less heat. it is evident that the conception of the partial pressures of gases should be applied not only to the formations of solutions, but also to all cases of chemical action of gases. especially numerous are its applications to the physiology of respiration, for in these cases it is only the oxygen of the atmosphere that acts.[ ] [ ] among the numerous researches concerning this subject, certain results obtained by paul bert are cited in chapter iii., and we will here point out that prof. sechenoff, in his researches on the absorption of gases by liquids, very fully investigated the phenomena of the solution of carbonic anhydride in solutions of various salts, and arrived at many important results, which showed that, on the one hand, in the solution of carbonic anhydride in solutions of salts on which it is capable of acting chemically (for example, sodium carbonate, borax, ordinary sodium phosphate), there is not only an increase of solubility, but also a distinct deviation from the law of henry and dalton; whilst, on the other hand, that solutions of salts which are not acted on by carbonic anhydride (for example, the chlorides, nitrates, and sulphates) absorb less of it, owing to the 'competition' of the salt already dissolved, and follow the law of henry and dalton, but at the same time show undoubted signs of a chemical action between the salt, water, and carbonic anhydride. sulphuric acid (whose co-efficient of absorption is vols. per ), when diluted with water, absorbs less and less carbonic anhydride, until the hydrate h_{ }so_{ },h_{ }o (co-eff. of absorption then equals vols.) is formed; then on further addition of water the solubility again rises until a solution of p.c. of water is obtained. the solution of _solids_, whilst depending only in a small measure on the pressure under which solution takes place (because solids and liquids are almost incompressible), is very clearly dependent on the temperature. in the great majority of cases the solubility of solids in water increases with the temperature; and further, the rapidity of solution increases also. the latter is determined by the rapidity of diffusion of the solution formed into the remainder of the water. the solution of a solid in water, although it is as with gases, a physical passage into a liquid state, is determined, however, by its chemical affinity for water; this is clearly shown from the fact that in solution there occurs a diminution in volume, a change in the boiling point of water, a change in the tension of its vapour, in the freezing point, and in many similar properties. if solution were a physical, and not a chemical, phenomenon, it would naturally be accompanied by an increase and not by a diminution of volume, because generally in melting a solid increases in volume (its density diminishes). _contraction_ is the usual phenomenon accompanying solution and takes place even in the addition of solutions to water,[ ] and in the solution of liquids in water,[ ] just as happens in the combination of substances when evidently new substances are produced.[ ] the contraction which takes place in solution is, however, very small, a fact which depends on the small compressibility of solids and liquids, and on the insignificance of the compressing force acting in solution.[ ] the change of volume which takes place in the solution of solids and liquids, or the alteration in specific gravity[ ] corresponding with it, depends on peculiarities of the dissolving substances, and of water, and, in the majority of cases, is not proportional to the quantity of the substance dissolved,[ ] showing the existence of a chemical force between the solvent and the substance dissolved which is of the same nature as in all other forms of chemical reaction.[ ] [ ] kremers made this observation in the following simple form:--he took a narrow-necked flask, with a mark on the narrow part (like that on a litre flask which is used for accurately measuring liquids), poured water into it, and then inserted a funnel, having a fine tube which reached to the bottom of the flask. through this funnel he carefully poured a solution of any salt, and (having removed the funnel) allowed the liquid to attain a definite temperature (in a water bath); he then filled the flask up to the mark with water. in this manner two layers of liquid were obtained, the heavy saline solution below and water above. the flask was then shaken in order to accelerate diffusion, and it was observed that the volume became less if the temperature remained constant. this can be proved by calculation, if the specific gravity of the solutions and water be known. thus at ° one c.c. of a p.c. solution of common salt weighs · gram, hence grams occupy a volume of · c.c. as the sp. gr. of water at ° = · , therefore grams of water occupy a volume of · c.c. the sum of the volumes is · c.c. after mixing, grams of a p.c. solution are obtained. its specific gravity is · (at ° and referred to water at its maximum density), hence the grams will occupy a volume of · c.c. the contraction is consequently equal to · c.c. [ ] the contractions produced in the case of the solution of sulphuric acid in water are shown in the diagram fig. (page ). their maximum is · c.c. per c.c. of the solution formed. a maximum contraction of · at °, · at °, and · at °, takes place in the solution of parts by weight of anhydrous alcohol in parts of water. this signifies that if, at °, parts by weight of alcohol be taken per parts by weight of water, then the sum of their separate volumes will he · , and after mixing their total volume will be . [ ] this subject will be considered later in this work, and we shall then see that the contraction produced in reactions of combination (of solids or liquids) is very variable in its amount, and that there are, although rarely, reactions of combination in which contraction does not take place, or when an increase of volume is produced. [ ] the compressibility of solutions of common salt is less, according to grassi, than that of water. at ° the compression of water per million volumes = vols. for a pressure of one atmosphere; for a p.c. solution of common salt it is , and for a p.c. solution vols. similar determinations were made by brown ( ) for saturated solutions of sal ammoniac ( vols.), alum ( vols.), common salt ( vols.), and sodium sulphate at + °, when the compressibility of water = per million volumes. this investigator also showed that substances which dissolve with an evolution of heat and with an increase in volume (as, for instance, sal ammoniac) are partially separated from their saturated solutions by an increase of pressure (this experiment was particularly conclusive in the case of sal ammoniac), whilst the solubility of substances which dissolve with an absorption of heat or diminution in volume increases, although very slightly, _with an increase of pressure_. sorby observed the same phenomenon with common salt ( ). [ ] the most trustworthy data relating to the variation of the specific gravity of solutions with a change of their composition and temperature, are collected and discussed in my work cited in footnote . the practical (for the amount of a substance in solution is determined by the aid of the specific gravities of solutions, both in works and in laboratory practice) and the theoretical (for specific gravity can be more accurately observed than other properties, and because a variation in specific gravity governs the variation of many other properties) interest of this subject, besides the strict rules and laws to which it is liable, make one wish that this province of data concerning solutions may soon be enriched by further observations of as accurate a nature as possible. their collection does not present any great difficulty, although requiring much time and attention. pickering in london and tourbaba in kharkoff must be ranked first among those who have pursued problems of this nature during recent years. [ ] inasmuch as the degree of change exhibited in many properties on the formation of solutions is not large, so, owing to the insufficient accuracy of observations, a proportionality between this change and a change of composition may, in a first rough approximation and especially within narrow limits of change of composition, easily be imagined in cases where it does not even exist. the conclusion of michel and kraft is particularly instructive in this respect; in , on the basis of their incomplete researches, they supposed that the increment of the specific gravity of solutions was proportional to the increment of a salt in a given volume of a solution, which is only true for determinations of specific gravity which are exact to the second decimal place--an accuracy insufficient even for technical determinations. accurate measurements do not confirm a proportionality either in this case or in many others where a ratio has been generally accepted; as, for example, for the rotatory power (with respect to the plane of polarisation) of solutions, and for their capillarity, &c. nevertheless, such a method is not only still made use of, but even has its advantages when applied to solutions within a limited scope--as, for instance, very weak solutions, and for a first acquaintance with the phenomena accompanying solution, and also as a means for facilitating the application of mathematical analysis to the investigation of the phenomenon of solution. judging by the results obtained in my researches on the specific gravity of solutions, i think that in many cases it would be nearer the truth to take the change of properties as proportional, not to the amount of a substance dissolved, but to the product of this quantity and the amount of water in which it is dissolved; the more so since many chemical relations vary in proportion to the reacting masses, and a similar ratio has been established for many phenomena of attraction studied by mechanics. this product is easily arrived at when the quantity of water in the solutions to be compared is constant, as is shown in investigating the fall of temperature in the formation of ice (_see_ footnote , p. ). [ ] all the different forms of chemical reaction may be said to take place in the process of solution. ( ) _combinations_ between the solvent and the substance dissolved, which are more or less stable (more or less dissociated). this form of reaction is the most probable, and is that most often observed. ( ) reactions of _substitution_ or of _double decomposition_ between the molecules. thus it may be supposed that in the solution of sal ammoniac, nh_{ }cl, the action of water produces ammonia, nh_{ }ho, and hydrochloric acid, hcl, which are dissolved in the water and simultaneously attract each other. as these solutions and many others do indeed exhibit signs, which are sometimes indisputable, of similar double decompositions (thus solutions of sal-ammoniac yield a certain amount of ammonia), it is probable that this form of reaction is more often met with than is generally thought. ( ) reactions of _isomerism_ or _replacement_ are also probably met with in solution, all the more as here molecules of different kinds come into intimate contact, and it is very likely that the configuration of the atoms in the molecules under these influences is somewhat different from what it was in its original and isolated state. one is led to this supposition especially from observations made on solutions of substances which rotate the plane of polarisation (and observations of this kind are very sensitive with respect to the atomic structure of molecules), because they show, for example (according to schneider, ), that strong solutions of malic acid rotate the plane of polarisation to the right, whilst its ammonium salts in all degrees of concentration rotate the plane of polarisation to the left. ( ) reactions of _decomposition_ under the influences of solution are not only rational in themselves, but have in recent years been recognised by arrhenius, ostwald, and others, particularly on the basis of electrolytic determinations. if a portion of the molecules of a solution occur in a condition of decomposition, the other portion may occur in a yet more complex state of combination, just as the velocity of the motion of different gaseous molecules may be far from being the same (_see_ note , p. ). it is, therefore, very probable that the reactions taking place in solution vary both quantitatively and qualitatively with the mass of water in the solution, and the great difficulty in arriving at a definite conclusion as to the nature of the chemical relations which take place in the process of solution will be understood, and if besides this the existence of a physical process, like the sliding between and interpenetration of two homogeneous liquids, be also recognised in solution, then the complexity of the problem as to the actual nature of solutions, which is now to the fore, appears in its true light. however, the efforts which are now being applied to the solution of this problem are so numerous and of such varied aspect that they will afford future investigators a vast mass of material towards the construction of a complete theory of solution. for my part, i am of opinion that the study of the physical properties of solutions (and especially of weak ones) which now obtains, cannot give any fundamental and complete solution of the problem whatever (although it should add much to both the provinces of physics and chemistry), but that, parallel with it, should be undertaken the study of the influence of temperature, and especially of low temperatures, the application to solutions of the mechanical theory of heat, and the comparative study of the chemical properties of solutions. the beginning of all this is already established, but it is impossible to consider in so short an exposition of chemistry the further efforts of this kind which have been made up to the present date. the feeble development of the chemical affinities acting in solutions of solids becomes evident from those multifarious methods by which _their solutions are decomposed_, whether they be saturated or not. on heating (absorption of heat), on cooling, and by internal forces alone, aqueous solutions in many cases separate into their components or their definite compounds with water. the water contained in solutions is removed from them as vapour, or, by freezing, in the form of ice,[ ] but the _tension of the vapour of water_[ ] held in solution is less than that of water in a free state, and the _temperature of the formation of ice_ from solutions is lower than °. further, both the diminution of vapour tension and the lowering of the freezing point proceed, in dilute solutions, almost in proportion to the amount of a substance dissolved.[ ] thus, if per grams of water there be in solution , , grams of common salt (nacl), then at ° the vapour tension of the solutions decreases by , , mm. of the barometric column, against mm., or the vapour tension of water, whilst the freezing points are - · °, - · °, and - · ° respectively. the above figures[ ] are almost proportional to the amounts of salt in solution ( , , and per of water). furthermore, it has been shown by experiment that the ratio of the diminution of vapour tension to the vapour tension of water at different temperatures in a given solution is an almost constant quantity,[ ] and that for every (dilute) solution the ratio between the diminution of vapour tension and of the freezing point is also a tolerably constant quantity.[ ] [ ] if solutions are regarded as being in a state of dissociation (_see_ footnote , p. ) it would be expected that they would contain free molecules of water, which form one of the products of the decomposition of those definite compounds whose formation is the cause of solution. in separating as ice or vapour, water makes, with a solution, a heterogeneous system (made up of substances in different physical states) similar, for instance, to the formation of a precipitate or volatile substance in reactions of double decomposition. [ ] if the substance dissolved is non-volatile (like salt or sugar), or only slightly volatile, then the whole of the tension of the vapour given off is due to the water, but if a solution of a volatile substance--for instance, a gas or a volatile liquid--evaporates, then only a portion of the pressure belongs to the water, and the whole pressure observed consists of the sum of the pressures of the vapours of the water and of the substance dissolved. the majority of researches bear on the first case, which will be spoken of presently, and the observations of d. p. konovaloff ( ) refer to the second case. he showed that in the case of two volatile liquids, mutually soluble in each other, forming two layers of saturated solutions (for example, ether and water, note , p. ), both solutions have an equal vapour tension (in the case in point the tension of both is equal to mm. of mercury at · °). further, he found that for solutions which are formed in all proportions, the tension is either greater (solutions of alcohol and water) or less (solutions of formic acid) than that which answers to the rectilinear change (proportional to the composition) from the tension of water to the tension of the substance dissolved; thus, the tension, for example, of a p.c. solution of formic acid is less, at all temperatures, than the tension of water and of formic acid itself. in this case the tension of a solution is never equal to the sum of the tensions of the dissolving liquids, as regnault already showed when he distinguished this case from that in which a mixture of liquids, which are insoluble in each other, evaporates. from this it is evident that a mutual action occurs in solution, which diminishes the vapour tensions proper to the individual substances, as would be expected on the supposition of the formation of compounds in solutions, because the elasticity then always diminishes. [ ] this amount is usually expressed by the weight of the substance dissolved per parts by weight of water. probably it would be better to express it by the quantity of the substance in a definite volume of the solution--for instance, in a litre--or by the ratios of the number of molecules of water and of the substance dissolved. [ ] the variation of the vapour tension of solutions has been investigated by many. the best known researches are those of wüllner in germany ( - ) and of tamman in russia ( ). the researches on the temperature of the formation of ice from various solutions are also very numerous; blagden ( ), rüdorff ( ), and de coppet ( ) established the beginning, but this kind of investigation takes its chief interest from the work of raoult, begun in on aqueous solutions, and afterwards continued for solutions in various other easily frozen liquids--for instance, benzene, c_{ }h_{ } (melts at · °), acetic acid, c_{ }h_{ }o_{ } ( · °), and others. an especially important interest is attached to these cryoscopic investigations of raoult in france on the depression of the freezing point, because he took solutions of many well-known carbon-compounds and discovered a simple relation between the molecular weight of the substances and the temperature of crystallisation of the solvent, which enabled this kind of research to be applied to the investigation of the nature of substances. we shall meet with the application of this method later on (_see also_ chapter vii.), and at present will only cite the deduction arrived at from these results. the solution of one-hundredth part of that molecular gram weight which corresponds with the formula of a substance dissolved (for example, nacl = · , c_{ }h_{ }o = , &c.) in parts of a solvent lowers the freezing point of its solution in water · °, in benzene · °, and in acetic acid o· °, or twice as much as with water. and as in weak solutions the depression or fall of freezing point is proportional to the amount of the substance dissolved, it follows that the fall of freezing point for all other solutions may be calculated from this rule. so, for instance, the weight which corresponds with the formula of acetone, c_{ }h_{ }o is ; a solution containing · , · , and · grams of acetone per grams of water, forms ice (according to the determinations of beckmann) at · °, · °, and · °, and these figures show that with a solution containing · gram of acetone per of water the fall of the temperature of the formation of ice will be · °, · °, and · °. it must be remarked that the law of proportionality between the fall of temperature of the formation of ice, and the composition of a solution, is in general only approximate, and is only applicable to weak solutions (pickering and others). we will here remark that the theoretical interest of this subject was strengthened on the discovery of the connection existing between the fall of tension, the fall of the temperature of the formation of ice, of osmotic pressure (van't hoff, note ), and of the electrical conductivity of solutions, and we will therefore supplement what we have already said on the subject by some short remarks on the method of cryoscopic investigations, although the details of the subject form the subject of more special works on physical chemistry (such as ostwald's _lehrbuch der allgemeinen chemie_, - , vols.) in order to determine the _temperature of the formation of ice_ (or of crystallisation of other solvents), a solution of known strength is prepared and poured into a cylindrical vessel surrounded by a second similar vessel, leaving a layer of air between the two, which, being a bad conductor, prevents any rapid change of temperature. the bulb of a sensitive and corrected thermometer is immersed in the solution, and also a bent platinum wire for stirring the solution; the whole is then cooled (by immersing the apparatus in a freezing mixture), and the temperature at which ice begins to separate observed. if the temperature at first falls slightly lower, it nevertheless becomes constant when ice begins to form. by then allowing the liquid to get just warm, and again observing the temperature of the formation of ice, an exact determination may be arrived at. it is still better to take a large mass of solution, and induce the formation of the first crystals by dropping a small lump of ice into the solution already partially over-cooled. this only imperceptibly changes the composition of the solution. the observation should be made at the point of formation of only a very small amount of crystals, as otherwise the composition of the solution will become altered from their separation. every precaution must be taken to prevent the access of moisture to the interior of the apparatus, which might also alter the composition of the solution or properties of the solvent (for instance, when using acetic acid). with respect to the depression of dilute solutions it is known--( ) that the depression increases in almost direct proportion to the amount of the substance in solution (always per parts of water), for example, for kcl when the solution contains part of salt (per parts of water) the depression = · °, when the solution contains parts of salt = · °, with parts of salt = · °. ( ) the greater the molecular weight expressed by the formula (see chapter vii.), and designated by m, the less, under other similar conditions, will be the depression _d_, and therefore if the concentration of a solution (the amount by weight of substance dissolved per parts of water) be designated by _p_, then the fraction m_d_/_p_ or the molecular depression for a given class of substances will be a constant quantity; for example, in the case of methyl alcohol in water · , for acetone about · , for sugar about · . ( ) in general the molecular depression for substances whose solutions do not conduct an electric current is about · , while for acids, salts, and such like substances whose solutions do conduct electricity, it is _i_ times greater; for instance, for hcl, ki, hno_{ }, kho, &c., about (_i_ is nearly ), for borax about , and so on where _i_ varies in the same manner as it does in the case of the osmotic pressure of solutions (note ). ( ) different solvents (water, acetic acid, benzene, &c.) have each their corresponding constants of molecular depression (which have a certain remote connection with their molecular weight); for example, for acetic acid the molecular depression is about and not (as it is for water), for benzene , for methyl alcohol about , &c. ( ) if the molecular weight m of a substance be unknown, then in the case of non-conductors of electricity or for a given group, it may be found by determining the depression, _d_, for a given concentration, _p_; for example, in the case of peroxide of hydrogen, which is a non-conductor of electricity, the molecular weight, m, was found to be nearly , _i.e._ equal to h_{ }o_{ }. similar results have also been found for the fall in the vapour tension of solutions (note ), and for the rise of their boiling points (hence these data may also serve for determining the molecular weight of a substance in solution, as is shortly described in chapter vii., note bis). and as these conclusions are also applicable in the case of osmotic pressure (note ), and a variation in the magnitude of _i_, in passing from solutions which do not conduct an electric current to those which do conduct electricity is everywhere remarked, so it was natural to here seek that causal connection which arrhenius ( ), ostwald, and others expected to find in the supposition that a portion of the substance of the electrolyte is already decomposed in the very act of solution, into its ions (for example, nacl into na and cl), or into the atoms of those individual substances which make their appearance in electrolysis, and in this way to explain the fact that _i_ is greater for those bodies which conduct an electric current. we will not consider here this supposition, known as the hypothesis of 'electrolytic dissociation,' not only because it wholly belongs to that special branch--physical chemistry, and gives scarcely any help towards explaining the chemical relations of solutions (particularly their passage into definite compounds, their reactions, and their very formation), but also because--( ) all the above data (for constant depression, osmotic pressure, &c.) only refer to dilute solutions, and are not applicable to strong solutions; whilst the chemical interest in strong solutions is not less than in dilute solutions, and the transition from the former into the latter is consecutive and inevitable; ( ) because in all homogeneous bodies (although it may be insoluble and not an electrolyte) a portion of the atoms may he supposed (clausius) to be passing from one particle to another (chapter x., note ), and as it were dissociated, but there are no reasons for believing that such a phenomenon is proper to the solutions of electrolytes only; ( ) because no essential mark of difference is observed between the solution of electrolytes and non-conductors, although it might be expected there would be according to arrhenius' hypothesis; ( ) because it is most reasonable to suppose the formation of new, more complex, but unstable and easily dissociated compounds in the act of solution, than a decomposition, even partial, of the substances taken; ( ) because if arrhenius' hypothesis be accepted it becomes necessary to admit the existence in solutions of free ions, like the atoms cl or na, without any apparent expenditure of the energy necessary for their disruption, and if in this case it can be explained why _i_ then = , it is not at all clear why solutions of mgso_{ } give _i_ = , although the solution does conduct an electric current; ( ) because in dilute solutions, the approximative proportionality between the depression and concentration may be recognised, while admitting the formation of hydrates, with as much right as in admitting the solution of anhydrous substances, and if the formation of hydrates be recognised it is easier to admit that a portion of these hydrates is decomposed than to accept the breaking-up into ions; ( ) because the best conductors of electricity are solutions like the sulphates in which it is necessary to recognise the formation of associated systems or hydrates; ( ) because the cause of electro-conductivity can be sooner looked for in this affinity and this combination of the substance dissolved with the solvent, as is seen from the fact, that (d. p. konovaloff) neither aniline nor acetic acid alone conduct an electric current, a solution of aniline in water conducts it badly (and here the affinity is very small), while a solution of aniline in acetic acid forms a good electrolyte, in which, without doubt, chemical forces are acting, bringing aniline, like ammonia, into combination with the acetic acid; which is evident from the researches made by prof. konovaloff upon mixtures (solutions) of aniline and other amines; and, lastly, ( ) because i, together with many of the chemists of the present day, cannot regard the hypothesis of electrolytic dissociation in the form given to it up to now by arrhenius and ostwald, as answering to the sum total of the chemical data respecting solutions and dissociation in general. thus, although i consider it superfluous to discuss further the evolution of the above theory of solutions, still i think that it would he most useful for students of chemistry to consider all the data referring to this subject, which can be found in the _zeitschrift für physikalische chemie_, - . [ ] this fact, which was established by gay-lussac, pierson, and v. babo, is confirmed by the latest observations, and enables us to express not only the fall of tension (_p_-_p_´) itself, but its ratio to the tension of water (_p_-_p_´)/_p_. it is to be remarked that in the absence of any chemical action, the fall of pressure is either very small, or does not exist at all (note ), and is not proportional to the quantity of the substance added. as a rule, the tension is then equal, according to the law of dalton, to the sum of the tensions of the substances taken. hence liquids which are insoluble in each other (for example, water and chloride of carbon) present a tension equal to the sum of their individual tensions, and therefore such a mixture boils at a lower temperature than the more volatile liquid (magnus, regnault). [ ] if, in the example of common salt, the fall of tension be divided by the tension of water, a figure is obtained which is nearly times less than the magnitude of the fall of temperature of formation of ice. this correlation was theoretically deduced by goldberg, on the basis of the application of the mechanical theory of heat, and is repeated by many investigated solutions. the diminution of the vapour tension of solutions explains the rise in boiling point due to the solution of solid non-volatile bodies in water. the temperature of a vapour is the same as that of the solution from which it is generated, and therefore it follows that the aqueous vapour given off from a solution will be superheated. a saturated solution of common salt boils at · °, a solution of parts of nitre in parts of water at · °, and a solution of parts of potassium chloride in parts of water at °, if the temperature of ebullition be determined by immersing the thermometer bulb in the liquid itself. this is another proof of the bond which exists between water and the substance dissolved. and this bond is seen still more clearly in those cases (for example, in the solution of nitric or formic acid in water) where the solution boils at a higher temperature than either water or the volatile substance dissolved in it. for this reason the solutions of certain gases--for instance, hydriodic or hydrochloric acid--boil above °. the separation of ice from solutions[ ] explains both the phenomenon, well known to sailors, that the ice formed from salt water gives fresh water, and also the fact that by freezing, just as by evaporation, a solution is obtained which is richer in salts than before. this is taken advantage of in cold countries for obtaining a liquor from sea water, which is then evaporated for the extraction of salt. [ ] fritzsche showed that solutions of certain colouring matters yield colourless ice, which clearly proves the passage of water only into a solid state, without any intermixture of the substance dissolved, although the possibility of the admixture in certain other cases cannot be denied. on the removal of part of the water from a solution (by evaporation or the separation of ice), a saturated solution should be obtained, and then the solid substance dissolved should separate out. solutions saturated at a certain temperature should also separate out a corresponding portion of the substance dissolved if they be reduced, by cooling,[ ] to a temperature at which the water can no longer hold the former quantity of the substance in solution. if this separation, by cooling a saturated solution or by evaporation, take place slowly, _crystals_ of the substance dissolved are in many cases formed; and this is the method by which crystals of soluble salts are usually obtained. certain solids very easily separate out from their solutions in perfectly formed crystals, which may attain very large dimensions. such are nickel sulphate, alum, sodium carbonate, chrome-alum, copper sulphate, potassium ferricyanide, and a whole series of other salts. the most remarkable circumstance in this is that many solids in separating out from an aqueous solution retain a portion of water, forming crystallised solid substances which contain water. a portion of the water previously in the solution remains in the separated crystals. the water which is thus retained is called the _water of crystallisation_. alum, copper sulphate, glauber's salt, and magnesium sulphate contain such water, but neither sal-ammoniac, table salt, nitre, potassium chlorate, silver nitrate, nor sugar, contains any water of crystallisation. one and the same substance may separate out from a solution with or without water of crystallisation, according to the temperature at which the crystals are formed. thus common salt in crystallising from its solution in water at the ordinary or at a higher temperature does not contain water of crystallisation. but if its separation from the solution takes place at a low temperature, namely below - °, then the crystals contain parts of water in parts. crystals of the same substance which separate out at different temperatures may contain different amounts of water of crystallisation. this proves to us that a solid dissolved in water may form various compounds with it, differing in their properties and composition, and capable of appearing in a solid separate form like many ordinary definite compounds. this is indicated by the numerous properties and phenomena connected with solutions, and gives reason for thinking that there exist in solutions themselves such compounds of the substance dissolved, and the solvent or compounds similar to them, only in a liquid partly decomposed form. even the _colour of solutions_ may often confirm this opinion. copper sulphate forms crystals having a blue colour and containing water of crystallisation. if the water of crystallisation be removed by heating the crystals to redness, a colourless anhydrous substance is obtained (a white powder). from this it may be seen that the blue colour belongs to the compound of the copper salt with water. solutions of copper sulphate are all blue, and consequently they contain a compound similar to the compound formed by the salt with its water of crystallisation. crystals of cobalt chloride when dissolved in an anhydrous liquid--like alcohol, for instance--give a blue solution, but when they are dissolved in water a red solution is obtained. crystals from the aqueous solution, according to professor potilitzin, contain six times as much water (cocl_{ }, h_{ }o) for a given weight of the salt, as those violet crystals (cocl_{ },h_{ }o) which are formed by the evaporation of an alcoholic solution. [ ] as the solubility of certain substances (for example, coniine, cerium sulphate, and others) decreases with a rise of temperature (between certain limits--see, for example, note ), so these substances do not separate from their saturated solutions on cooling but on heating. thus a solution of manganese sulphate, saturated at °, becomes cloudy on further heating. the point at which a substance separates from its solution with a change of temperature gives an easy means of determining the co-efficient of solubility, and this was taken advantage of by prof. alexéeff for determining the solubility of many substances. the phenomenon and method of observation are here essentially the same as in the determination of the temperature of formation of ice. if a solution of a substance which separates out on heating be taken (for example, the sulphate of calcium or manganese), then at a certain fall of temperature ice will separate out from it, and at a certain rise of temperature the salt will separate out. from this example, and from general considerations, it is clear that the separation of a substance dissolved from a solution should present a certain analogy to the separation of ice from a solution. in both cases, a heterogeneous system of a solid and a liquid is formed from a homogeneous (liquid) system. that solutions contain particular compounds with water is further shown by the phenomena of supersaturated solutions, of so-called cryohydrates, of solutions of certain acids having constant boiling points, and the properties of compounds containing water of crystallisation whose data it is indispensable to keep in view in the consideration of solutions. supersaturated solutions exhibit the following phenomena:--on the refrigeration of a saturated solution of certain salts,[ ] if the liquid be brought under certain conditions, the excess of the solid may sometimes remain in solution and not separate out. a great number of substances, and more especially sodium sulphate, na_{ }so_{ }, or glauber's salt, easily form supersaturated solutions. if boiling water be saturated with this salt, and the solution be poured off from any remaining undissolved salt, and, the boiling being still continued, the vessel holding the solution be well closed by cotton wool, or by fusing up the vessel, or by covering the solution with a layer of oil, then it will he found that this saturated solution does not separate out any glauber's salt whatever on cooling down to the ordinary or even to a much lower temperature; although without the above precautions a salt separates out on cooling, in the form of crystals, which contain na_{ }so_{ }, h_{ }o--that is, parts of water for parts of anhydrous salt. the supersaturated solution may be moved about or shaken inside the vessel holding it, and no crystallisation will take place; the salt remains in the solution in as large an amount as at a higher temperature. if the vessel holding the supersaturated solution be opened and a crystal of glauber's salt be thrown in, crystallisation suddenly takes place.[ ] a considerable rise in temperature is noticed during this rapid separation of crystals, which is due to the fact that the salt, previously in a liquid state, passes into a solid state. this bears some resemblance to the fact that water maybe cooled below ° (even to - °) if it be left at rest, under certain circumstances, and evolves heat in suddenly crystallising. although from this point of view there is a resemblance, yet in reality the phenomenon of supersaturated solutions is much more complicated. thus, on cooling, a saturated solution of glauber's salt deposits crystals containing na_{ }so_{ }, h_{ } ,[ ] or parts of water per parts of anhydrous salt, and not parts of water, as in the above-mentioned salt. the crystals containing h_{ }o are distinguished for their instability; if they stand in contact not only with crystals of na_{ }so_{ }, h_{ }o, but with many other substances, they immediately become opaque, forming a mixture of anhydrous and deca-hydrated salts. it is evident that between water and a soluble substance there may be established different kinds of greater or less stable equilibrium, of which solutions form a particular case.[ ] [ ] those salts which separate out with water of crystallisation and give several crystallohydrates form supersaturated solutions with the greatest facility, and the phenomenon is much more common than was previously imagined. the first data were given in the last century by loewitz, in st. petersburg. numerous researches have proved that supersaturated solutions do not differ from ordinary solutions in any of their essential properties. the variations in specific gravity, vapour tension, formation of ice, &c., take place according to the ordinary laws. [ ] inasmuch as air, as has been shown by direct experiment, contains, although in very small quantities, minute crystals of salts, and among them sodium sulphate, air can bring about the crystallisation of a supersaturated solution of sodium sulphate in an open vessel, but it has no effect on saturated solutions of certain other salts; for example, lead acetate. according to the observations of de boisbaudran, gernez, and others, isomorphous salts (analogous in composition) are capable of inducing crystallisation. thus, a supersaturated solution of nickel sulphate crystallises by contact with crystals of sulphates of other metals analogous to it, such as those of magnesium, cobalt, copper, and manganese. the crystallisation of a supersaturated solution, set up by the contact of a minute crystal, starts from it in rays with a definite velocity, and it is evident that the crystals as they form propagate the crystallisation in definite directions. this phenomenon recalls the evolution of organisms from germs. an attraction of similar molecules ensues, and they dispose themselves in definite similar forms. [ ] at the present time a view is very generally accepted, which regards supersaturated solutions as homogeneous systems, which pass into heterogeneous systems (composed of a liquid and a solid substance), in all respects exactly resembling the passage of water cooled below its freezing point into ice and water, or the passage of crystals of rhombic sulphur into monoclinic crystals, and of the monoclinic crystals into rhombic. although many phenomena of supersaturation are thus clearly understood, yet the spontaneous formation of the unstable hepta-hydrated salt (with h_{ }o), in the place of the more stable deca-hydrated salt (with mol. h_{ }o), indicates a property of a saturated solution of sodium sulphate which obliges one to admit that it has a different structure from an ordinary solution. stcherbacheff asserts, on the basis of his researches, that a solution of the deca-hydrated salt gives, on evaporation, without the aid of heat, the deca-hydrated salt, whilst after heating above ° it forms a supersaturated solution and the hepta-hydrated salt. but in order that this view should be accepted, some facts must be discovered distinguishing solutions (which are, according to this view, isomeric) containing the hepta-hydrated salt from those containing the deca-hydrated salt, and all efforts in this direction (the study of the properties of the solutions) have given negative results. as some crystallohydrates of salts (alums, sugar of lead, calcium chloride) melt straightway (without separating out anything), whilst others (like na_{ }so_{ }, h_{ }o) are broken up, then it may be that the latter are only in a state of equilibrium at a higher temperature than their melting point. it may here be observed that in melting crystals of the deca-hydrated salt, there is formed, besides the solid anhydrous salt, a saturated solution giving the hepta-hydrated salt, so that this passage from the deca-to the hepta-hydrated salt, and the reverse, takes place with the formation of the anhydrous (or, it may be, monohydrated) salt. moreover, supersaturation (potilitzin, ) only takes place with those substances which are capable of giving several modifications or several crystallohydrates, _i.e._ supersaturated solutions separate out, besides the stable normal crystallohydrate, hydrates containing less water and also the anhydrous salt. this degree of saturation acts upon the substance dissolved in a like manner to heat. sulphate of nickel in a solution at ° to ° separates out rhombic crystals with h_{ }o, at ° to ° cubical crystals, with h_{ }o, at ° to ° monoclinic crystals, also containing h_{ }o. crystals of the same composition separate out from supersaturated solutions at one temperature ( ° to °), but at different degrees of saturation, as was shown by lecoq de boisbaudran. the capacity to voluntarily separate out slightly hydrated or anhydrous salts by the introduction of a crystal into the solution is common to all supersaturated solutions. if a salt forms a supersaturated solution, then one would expect, according to this view, that it should exist in the form of several hydrates or in several modifications. thus potilitzin concluded that chlorate of strontium, which easily gives supersaturated solutions, should be capable of forming several hydrates, besides the anhydrous salt known; and he succeeded in discovering the existence of two hydrates, sr(clo_{ })_{ }, h_{ }o and apparently sr(clo_{ })_{ }, h_{ }o. besides this, three modifications of the common anhydrous salt were obtained, differing from each other in their crystalline form. one modification separated out in the form of rhombic octahedra, another in oblique plates, and a third in long brittle prisms or plates. further researches showed that salts which are not capable of forming supersaturated solutions such as the bromates of calcium, strontium, and barium, part with their water of hydration with difficulty (they crystallise with h_{ }o), and decompose very slowly in a vacuum or in dry air. in other words the tension of dissociation is very small in this class of hydrates. as the hydrates characterised by a small dissociation tension are incapable of giving supersaturated solutions, so conversely supersaturated solutions give hydrates whose tension of dissociation is great (potilitzin, ). [ ] _emulsions_, like milk, are composed of a solution of glutinous or similar substances, or of oily liquids suspended in a liquid in the form of drops, which are clearly visible under a microscope, and form an example of a mechanical formation which resembles solution. but the difference from solutions is here evident. there are, however, solutions which approach very near to emulsions in the facility with which the substance dissolved separates from them. it has long been known, for example, that a particular kind of prussian blue, kfe_{ }(cn)_{ }, dissolves in pure water, but, on the addition of the smallest quantity of either of a number of salts, it coagulates and becomes quite insoluble. if copper sulphide (cus), cadmium sulphide (cds), arsenic sulphide (as_{ }s_{ }) (the experiments with these substances proceed with great ease, and the solution obtained is comparatively stable), and many other metallic sulphides, be obtained by a method of double decomposition (by precipitating salts of these metals by hydrogen sulphide), and be then carefully washed (by allowing the precipitate to settle, pouring off the liquid, and again adding sulphuretted hydrogen water), then, as was shown by schulze, spring, prost, and others, the previously insoluble sulphides pass into transparent (for mercury, lead, and silver, reddish brown; for copper and iron, greenish brown; for cadmium and indium, yellow; and for zinc, colourless) solutions, which may be preserved (the weaker they are the longer they keep) and even boiled, but which, nevertheless, in time coagulate--that is, separate in an insoluble form, and then sometimes become crystalline and quite incapable of re-dissolving. graham and others observed the power shown by colloids (_see_ note ) of forming similar _hydrosols or solutions of gelatinous colloids_, and, in describing alumina and silica, we shall again have occasion to speak of such solutions. in the existing state of our knowledge concerning solution, such solutions may be looked on as a transition between emulsion and ordinary solutions, but no fundamental judgment can be formed about them until a study has been made of their relations to ordinary solutions (the solutions of even soluble colloids freeze immediately on cooling below °, and, according to guthrie, do not form cryohydrates), and to supersaturated solutions, with which they have certain points in common. solutions of salts on refrigeration below ° deposit ice or crystals (which then frequently contain water of crystallisation) of the salt dissolved, and on reaching a certain degree of concentration they solidify in their entire mass. these solidified masses are termed _cryohydrates_. my researches on solutions of common salt ( ) showed that its solution solidifies when it reaches a composition nacl + h_{ }o ( parts of water per · parts of salt), which takes place at about - °. the solidified solution melts at the same temperature, and both the portion melted and the remainder preserve the above composition. guthrie ( - ) obtained the cryohydrates of many salts, and he showed that certain of them are formed like the above at comparatively low temperatures, whilst others (for instance, corrosive sublimate, alums, potassium chlorate, and various colloids) are formed on a slight cooling, to - ° or even before.[ ] in the case of common salt, the cryohydrate with molecules of water, and in the case of sodium nitrate, the cryohydrate[ ] with molecules of water (_i.e._ parts of water per of salt) should be accepted as established substances, capable of passing from a solid to a liquid state and conversely; and therefore it may be thought that in cryohydrates we have solutions which are not only undecomposable by cold, but also have a definite composition which would present a fresh case of definite equilibrium between the solvent and the substance dissolved. [ ] offer ( ) concludes, from his researches on cryohydrates, that they are simple mixtures of ice and salts, having a constant melting point, just as there are alloys having a constant point of fusion, and solutions of liquids with a constant boiling point (_see_ note ). this does not, however, explain in what form a salt is contained, for instance, in the cryohydrate nacl + h_{ }o. at temperatures above - ° common salt separates out in anhydrous crystals, and at temperatures near - °, in combination with water of crystallisation, nacl + h_{ }o, and, therefore, it is very improbable that at still lower temperatures it would separate without water. if the possibility of the solidified cryohydrate containing nacl + h_{ }o and ice be admitted, then it is not clear why one of these substances does not melt before the other. if alcohol does not extract water from the solid mass, leaving the salt behind, this does not prove the presence of ice, because alcohol also takes up water from the crystals of many hydrated substances (for instance, from nacl + h_{ }o) at about their melting-points. besides which, a simple observation on the cryohydrate, nacl + h_{ }o, shows that with the most careful cooling it does not on the addition of ice deposit ice, which would occur if ice were formed on solidification intermixed with the salt. i may add with regard to cryohydrates that many of the solutions of acids solidify completely on prolonged cooling (for example, h_{ }so_{ },h_{ }o), and then form perfectly definite compounds. for the solutions of sulphuric acid (_see_ chapter xx.) pickering obtained, for instance, a hydrate, h_{ }so_{ }, h_{ }o at - °. hydrochloric, nitric, and other acids also give similar crystalline hydrates, melting at low temperatures and presenting many similarities with the cryohydrates. [ ] _see_ note . the formation of definite but unstable compounds in the process of solution becomes evident from the phenomena of a marked decrease of vapour tension, or from the rise of the temperature of ebullition which occurs in the solution of certain volatile liquids and gases in water. as an example, we will take hydriodic acid, hi, a gas which liquefies, giving a liquid which boils at - °. a solution of it containing p.c. of hydriodic acid is distinguished by the fact that if it be heated the hydriodic acid volatilises together with the water in the same proportions as they occur in the solution, therefore such a solution may be distilled unchanged. the solution boils at a higher temperature than water, at °. a portion of the physical properties of the gas and water have in this case already disappeared--a new substance is formed, which has its definite boiling point. to put it more correctly, this is not the temperature of ebullition, but the temperature at which the compound formed decomposes, forming the vapours of the products of dissociation, which, on cooling, re-combine. should a less amount of hydriodic acid be dissolved in water than the above, then, on heating such a solution, water only at first distils over, until the solution attains the above-mentioned composition; it will then distil over unaltered. if more hydriodic acid be passed into such a solution a fresh quantity of the gas will dissolve, but it passes off with great ease, like air from water. it must not, however, be thought that those forces which determine the formation of ordinary gaseous solutions play no part whatever in the formation of a solution having a definite boiling point; that they do react is shown from the fact that such constant gaseous solutions vary in their composition under different pressures.[ ] it is not, therefore, at every, but only at the ordinary, atmospheric pressure that a constant boiling solution of hydriodic acid will contain p.c. of the gas. at another pressure the proportion of water and hydriodic acid will be different. it varies, however, judging from observations made by roscoe, very little for considerable variations of pressure. this variation in composition directly indicates that pressure exerts an influence on the formation of unstable chemical compounds which are easily dissociated (with formation of a gas), just as it influences the solution of gases, only the latter is influenced to a more considerable degree than the former.[ ] hydrochloric, nitric, and other acids form _solutions having definite boiling points_, like that of hydriodic acid. they show further the common property, if containing but a small proportion of water, that they _fume in air_. strong solutions of nitric, hydrochloric, hydriodic, and other gases are even termed 'fuming acids.' the fuming liquids contain a definite compound whose temperature of ebullition (decomposition) is higher than °, and contain also an excess of the volatile substance dissolved, which exhibits a capacity to combine with water and form a hydrate, whose vapour tension is less than that of aqueous vapour. on evaporating in air, this dissolved substance meets the atmospheric moisture and forms a visible vapour (fumes) with it, which consists of the above-mentioned compound. the attraction or affinity which binds, for instance, hydriodic acid with water is evinced not only in the evolution of heat and the diminution of vapour tension (rise of boiling point), but also in many purely chemical relations. thus hydriodic acid is produced from iodine and hydrogen sulphide in the presence of water, but unless water is present this reaction does not take place.[ ] [ ] for this reason (the want of entire constancy of the composition of constant boiling solutions with a change of pressure), the existence of definite hydrates formed by volatile substances--for instance, by hydrochloric acid and water--is frequently denied. it is generally argued as follows: if there did exist a constancy of composition, then it would be unaltered by a change of pressure. but the distillation of constant boiling hydrates is undoubtedly accompanied (judging by the vapour densities determined by bineau), like the distillation of sal ammoniac, sulphuric acid, &c., by a complete decomposition of the original compound--that is, these substances do not exist in a state of vapour, but their products of decomposition (hydrochloric acid and water) are gases at the temperature of volatilisation, which dissolve in the volatilised and condensed liquids; but the solubility of gases in liquids depends on the pressure, and, therefore, the composition of constant boiling solutions may, and even ought to, vary with a change of pressure, and, further, the smaller the pressure and the lower the temperature of volatilisation, the more likely is a true compound to be obtained. according to the researches of roscoe and dittmar ( ), the constant boiling solution of hydrochloric acid proved to contain p.c. of hydrochloric acid at a pressure of atmospheres, p.c. at atmosphere, and p.c. at / of an atmosphere. on passing air through the solution until its composition became constant (_i.e._ forcing the excess of aqueous vapour or of hydrochloric acid to pass away with the air), then acid was obtained containing about p.c. at °, about p.c. at °, and about p.c. at °. from this it is seen that by decreasing the pressure and lowering the temperature of evaporation one arrives at the same limit, where the composition should be taken as hcl + h_{ }o, which requires · p.c. of hydrochloric acid. fuming hydrochloric acid contains more than this. in the case already considered, as in the case of formic acid in the researches of d. p. konovaloff (note ), the constant boiling solution corresponds with a minimum tension--that is, with a boiling point higher than that of either of the component elements. but there is another case of constant boiling solutions similar to the case of the solution of propyl alcohol, c_{ }h_{ }o, when a solution, undecomposed by distillation, boils at a lower point than that of the more volatile liquid. however, in this case also, if there be solution, the possibility of the formation of a definite compound in the form c_{ }h_{ }o + h_{ }o cannot be denied, and the tension of the solution is not equal to the sum of tensions of the components. there are possible cases of constant boiling mixtures even when there is no solution nor any loss of tension, and consequently no chemical action, since the amount of liquids that are volatilised is determined by the product of the vapour densities into their vapour tensions (wanklyn), in consequence of which liquids whose boiling point is above °--for instance, turpentine and ethereal oils in general--when distilled with aqueous vapour, pass over at a temperature below °. consequently, it is not in the constancy of composition and boiling point (temperature of decomposition) that evidence of a distinct chemical action is to be found in the above-described solutions of acids, but in the great loss of tension, which completely resembles the loss of tension observed, for instance, in the perfectly-definite combinations of substances with water of crystallisation (see later, note ). sulphuric acid, h_{ }so_{ }, as we shall learn later, is also decomposed by distillation, like hcl + h_{ }o, and exhibits, moreover, all the signs of a definite chemical compound. the study of the variation of the specific gravities of solutions as dependent on their composition (see note ) shows that phenomena of a similar kind, although of different dimensions, take place in the formation of both h_{ }so_{ } from h_{ }o and so_{ }, and of hcl + h_{ }o (or of aqueous solutions analogous to it) from hcl and h_{ }o. [ ] the essence of the matter may he thus represented. a gaseous or easily volatile substance _a_ forms with a certain quantity of water, _n_h_{ }o, a definite complex compound _an_h_{ }o, which is stable up to a temperature t° higher than °. at this temperature it is decomposed into two substances, _a_ + h_{ }o. both boil below _t_° at the ordinary pressure, and therefore at _t_° they distil over and re-combine in the receiver. but if a part of the substance _an_h_{ }o is decomposed or volatilised, a portion of the undecomposed liquid still remains in the vessel, which can partially dissolve one of the products of decomposition, and that in quantity varying with the pressure and temperature, and therefore the solution at a constant boiling point will have a slightly different composition at different pressures. [ ] for solutions of hydrochloric acid in water there are still greater differences in reactions. for instance, strong solutions decompose antimony sulphide (forming hydrogen sulphide, h_{ }s), and precipitate common salt from its solutions, whilst weak solutions do not act thus. many compunds containing water of crystallisation are solid substances (when melted they are already solutions--_i.e._ liquids); furthermore, they are capable of being formed from solutions, like ice or aqueous vapour. they may be called _crystallo-hydrates_. inasmuch as the direct presence of ice or aqueous vapour cannot be admitted in solutions (for these are liquids), although the presence of water may be, so also there is no basis for acknowledging the presence in solutions of crystallo-hydrates, although they are obtained from solutions as such.[ ] it is evident that such substances present one of the many forms of equilibrium between water and a substance dissolved in it. this form, however, reminds one, in all respects, of solutions--that is, aqueous compounds which are more or less easily decomposed, with separation of water and the formation of a less aqueous or an anhydrous compound. in fact, there are not a few crystals containing water which lose a part of their water at the ordinary temperature. of such a kind, for instance, are the crystals of soda, or sodium carbonate, which, when separated from an aqueous solution at the ordinary temperature, are quite transparent; but when left exposed to air, lose a portion of their water, becoming opaque, and, in the process, lose their crystalline appearance, although preserving their original form. this process of the separation of water at the ordinary temperature is termed the _efflorescence_ of crystals. efflorescence takes place more rapidly under the receiver of an air pump, and especially at a gentle heat. this breaking up of a crystal is dissociation at the ordinary temperature. solutions are decomposed in exactly the same manner.[ ] the tension of the aqueous vapour which is given off from crystallo-hydrates is naturally, as with solutions, less than the vapour tension of water itself[ ] at the same temperature, and therefore many anhydrous salts which are capable of combining with water absorb aqueous vapour from moist air; that is, they act like a cold body on which water is deposited from steam. it is on this that the desiccation of gases is based, and it must further be remarked in this respect that certain substances--for instance, potassium carbonate (k_{ }co_{ }) and calcium chloride (cacl_{ })--not only absorb the water necessary for the formation of a solid crystalline compound, but also give solutions, or _deliquesce_, as it is termed, in moist air. many crystals do not effloresce in the least at the ordinary temperature; for example, copper sulphate, which may be preserved for an indefinite length of time without efflorescing, but when placed under the receiver of an air pump, if efflorescence be once started, it goes on at the ordinary temperature. the temperature at which the complete separation of water from crystals takes place varies considerably, not only for different substances, but also for different portions of the contained water. very often the temperature at which dissociation begins is very much higher than the boiling point of water. so, for example, copper sulphate, which contains p.c. of water, gives up · p.c. at °, and the remaining quantity, namely · p.c., only at °. alum, out of the · p.c. of water which it contains, gives up · p.c. at °, · p.c. at °, · p.c. at °, and p.c. at °; it only loses the last quantity ( p.c.) at its temperature of decomposition. these examples clearly show that the annexation of water of crystallisation is accompanied by a rather profound, although, in comparison with instances which we shall consider later, still inconsiderable, change of its properties. in certain cases the water of crystallisation is only given off when the solid form of the substance is destroyed: when the crystals melt on heating. the crystals are then said _to melt in their water of crystallisation_. further, after the separation of the water, a solid substance remains behind, so that by further heating it acquires a solid form. this is seen most clearly in crystals of sugar of lead or lead acetate, which melt in their water of crystallisation at a temperature of · °, and in so doing begin to lose water. on reaching a temperature of ° the sugar of lead solidifies, having lost all its water; and then at a temperature of °, the anhydrous and solidified salt again melts.[ bis] [ ] supersaturated solutions give an excellent proof in this respect. thus a solution of copper sulphate generally crystallises in penta-hydrated crystals, cuso_{ } + h_{ }o, and its saturated solution gives such crystals if it be brought into contact with the minutest possible crystal of the same kind. but, according to the observations of lecoq de boisbaudran, if a crystal of ferrous sulphate (an isomorphous salt, _see_ note ), feso_{ } + h_{ }o, be placed in a saturated solution of copper sulphate, then crystals of hepta-hydrated salt, cuso_{ } + h_{ }o, are obtained. it is evident that neither the penta-nor the hepta-hydrated salt is contained as such in the solution. the solution presents its own particular liquid form of equilibrium. [ ] efflorescence, like every evaporation, proceeds from the surface. in the interior of crystals which have effloresced there is usually found a non-effloresced mass, so that the majority of effloresced crystals of washing soda show, in their fracture, a transparent nucleus coated by an effloresced, opaque, powdery mass. it is a remarkable circumstance in this respect that efflorescence proceeds in a completely regular and uniform manner, so that the angles and planes of similar crystallographic character effloresce simultaneously, and in this respect the crystalline form determines those parts of crystals where efflorescence starts, and the order in which it continues. in solutions evaporation also proceeds from the surface, and the first crystals which appear on its reaching the required degree of saturation are also formed at the surface. after falling to the bottom the crystals naturally continue to grow (_see_ chapter x.). [ ] according to lesc[oe]ur ( ), at ° a concentrated solution of barium hydroxide, bah_{ }o_{ }, on first depositing crystals (with + h_{ }o) has a tension of about mm. (instead of mm., the tension of water), which decreases (because the solution evaporates) to mm., when all the water is expelled from the crystals, bah_{ }o_{ } + h_{ }o, which are formed, but they also lose water (dissociate, effloresce at °), leaving the hydroxide, bah_{ }o_{ }, which is perfectly undecomposable at °--that is, does not part with water. at ° (the tension of water is then mm.) a solution, containing h_{ }o, on crystallising has a tension of mm.; the crystals, bah_{ }o_{ } + h_{ }o, which separate out, have a tension of mm.; on losing water they give bah_{ }o_{ } + h_{ }o. this substance does not decompose at °, and therefore its tension = . in those crystallohydrates which effloresce at the ordinary temperature, the tension of dissociation nearly approximates to that of the aqueous vapour, as lesc[oe]ur ( ) showed. to this category of compounds belong b_{ }o_{ }( + _x_)h_{ }o, c_{ }o_{ }h_{ }( + _x_)h_{ }o, bao( + _x_)h_{ }o, and sro( + _x_)h_{ }o. and a still greater tension is possessed by na_{ }so_{ } h_{ }o, na_{ }co_{ } h_{ }o, and mgso_{ }( + _x_)h_{ }o. müller-erzbach ( ) determines the tension (with reference to liquid water) by placing tubes of the same length with water and the substances experimented with in a desiccator, the rate of loss of water giving the relative tension. thus, at the ordinary temperature, crystals of sodium phosphate, na_{ }hpo_{ } + h_{ }o, present a tension of · compared with water, until they lose h_{ }o, then · until they lose h_{ }o more, and on losing the last equivalent of water the tension falls to · compared with water. it is clear that the different molecules of water are held by an unequal force. out of the five molecules of water in copper sulphate the two first are comparatively easily separated even at the ordinary temperature (but only after several days in a desiccator, according to latchinoff); the next two are more difficultly separated, and the last equivalent is retained even at °. this is another indication of the capacity of cuso_{ } to form three hydrates, cuso_{ } h_{ }o, cuso_{ } h_{ }o, and cuso_{ }h_{ }o. the researches of andreae on the tension of dissociation of hydrated sulphate of copper showed ( ) the existence of three provinces, characterised at a given temperature by a constant tension: ( ) between - , ( ) between - , and lastly ( ) between - molecule of water, which again confirms the existence of three hydrates of the above composition for this salt. [ bis] sodium acetate (c_{ }h_{ }o_{ }na, h_{ }o) melts at °, but re-solidifies only on contact with a crystal, otherwise it may remain liquid even at °, and may be used for obtaining a constant temperature. according to jeannel, the latent heat of fusion is about calories, and according to pickering the heat of solution calories. when melted this salt boils at °--that is, the tension of the vapour given off at that temperature equals the atmospheric pressure. it is most important to recognise in respect to the water of crystallisation that its ratio to the quantity of the substance with which it is combined is always a constant quantity. however often we may prepare copper sulphate, we shall always find · p.c. of water in its crystals, and these crystals always lose four-fifths of their water at °, and one-fifth of the whole amount of the water contained remains in the crystals at °, and is only expelled from them at a temperature of about °. what has been said about crystals of copper sulphate refers also to crystals of every other substance, which contain water of crystallisation. it is impossible in any of these cases to increase either the relative proportion of the salt or of the water, without changing the homogeneity of the substance. if once a portion of the water be lost--for instance, if once efflorescence takes place--a mixture is obtained, and not a homogeneous substance, namely a mixture of a substance deprived of water with a substance which has not yet lost water--_i.e._ decomposition has already commenced. this constant ratio is an example of the fact that in chemical compounds the quantity of the component parts is quite definite; that is, it is an example of the so-called _definite chemical compounds_. they may be distinguished from solutions, and from all other so-called indefinite chemical compounds, in that at least one, and sometimes both, of the component parts may be added in a large quantity to an indefinite chemical compound, without destroying its homogeneity, as in solutions, whilst it is impossible to add any one of the component parts to a definite chemical compound without destroying the homogeneity of the entire mass. definite chemical compounds only decompose at a certain rise in temperature; on a lowering in temperature they do not, at least with very few exceptions, yield their components like solutions which form ice or compounds with water of crystallisation. this leads to the assumption that solutions contain water as water,[ ] although it may sometimes be in a very small quantity. therefore solutions which are capable of solidifying completely (for instance, crystallo-hydrates capable of melting) such as the compound of - / parts of sulphuric acid, h_{ }so_{ }, with - / parts of water, h_{ }o, or h_{ }so_{ },h_{ }o (or h_{ }so_{ }), appear as true definite chemical compounds. if, then, we imagine such a definite compound in a liquid state, and admit that it partially decomposes in this state, separating water--not as ice or vapour (for then the system would be heterogeneous, including substances in different physical states), but in a liquid form, when the system will be homogeneous--we shall form an idea of a solution as an unstable, dissociating fluid state of equilibrium between water and the substance dissolved. moreover, it should be remarked that, judging by experiment, many substances give with water not one but _diverse_ compounds,[ ] which is seen in the capacity of one substance to form with water many various _crystallo-hydrates_, or compounds with water of crystallisation, showing diverse and independent properties. from these considerations, _solutions[ ] may be regarded as fluid, unstable, definite chemical compounds in a state of dissociation_.[ ] [ ] such a phenomenon frequently presents itself in purely chemical action. for instance, let a liquid substance _a_ give, with another liquid substance _b_, under the conditions of an experiment, a mere minute quantity of a solid or gaseous substance _c_. this small quantity will separate out (pass away from the sphere of action, as berthollet expressed it), and the remaining masses of _a_ and _b_ will again give _c_; consequently, under these conditions action will go on to the end. such, it seems to me, is the action in solutions when they yield ice or vapour indicating the presence of water. [ ] certain substances are capable of forming together only one compound, others several, and these of the most varied degrees of stability. the compounds of water are instances of this kind. in solutions the existence of several different definite compounds must be acknowledged, but many of these have not yet been obtained in a free state, and it may be that they cannot be obtained in any other but a liquid form--that is, dissolved; just as there are many undoubted definite compounds which only exist in one physical state. among the hydrates such instances occur. the compound co_{ } + h_{ }o (_see_ note ), according to wroblewski, only occurs in a solid form. hydrates like h_{ }s + h_{ }o (de forcrand and villard), hbr + h_{ }o (roozeboom), can only be accepted on the basis of a decrease of tension, but present themselves as very transient substances, incapable of existing in a stable free state. even sulphuric acid, h_{ }so_{ }, itself, which undoubtedly is a definite compound, fumes in a liquid form, giving off the anhydride, so_{ }--that is, it exhibits a very unstable equilibrium. the crystallo-hydrates of chlorine, cl_{ } + h_{ }o, of hydrogen sulphide, h_{ }s + h_{ }o (it is formed at °, and is completely decomposed at + °, as then vol. of water only dissolves vols. of hydrogen sulphide, while at · ° it dissolves about vols.), and of many other gases, are instances of hydrates which are very unstable. [ ] of such a kind are also other indefinite chemical compounds; for example, metallic alloys. these are solid substances or solidified solutions of metals. they also contain definite compounds, and may contain an excess of one of the metals. according to the experiments of laurie ( ), the alloys of zinc with copper in respect to the electro-motive force in galvanic batteries behave just like zinc if the proportion of copper in the alloy does not exceed a certain percentage--that is, until a definite compound is attained--for in that case particles of free zinc are present; but if a copper surface be taken, and it be covered by only one-thousandth part of its area of zinc, then only the zinc will act in a galvanic battery. [ ] according to the above supposition, the condition of solutions in the sense of the kinetic hypothesis of matter (that is, on the supposition of an internal motion of molecules and atoms) may be represented in the following form:--in a homogeneous liquid--for instance, water--the molecules occur in a certain state of, although mobile, still stable, equilibrium. when a substance _a_ dissolves in water, its molecules form with several molecules of water, systems _an_h_{ }o, which are so unstable that when surrounded by molecules of water they decompose and re-form, so that _a_ passes from one mass of molecules of water to another, and the molecules of water which were at this moment in harmonious motion with _a_ in the form of the system _an_h_{ }o, in the next instant may have already succeeded in getting free. the addition of water or of molecules of _a_ may either only alter the number of free molecules, which in their turn enter into systems _an_h_{ }o, or they may introduce conditions for the possibility of building up new systems _am_h_{ }o, where _m_ is either greater or less than _n_. if in the solution the relation of the molecules be the same as in the system _am_h_{ }o, then the addition of fresh molecules of water or of _a_ would be followed by the formation of new molecules _an_h_{ }o. the relative quantity, stability, and composition of these systems or definite compounds will vary in one or another solution. i adopted this view of solutions ( , pickering subsequently put forward a similar view) after a most intimate study of the variation of their specific gravities, to which my book, cited in note , is devoted. definite compounds, _an__{ }h_{ }o and _am__{ }h_{ }o, existing in a free--for instance, solid--form, may in certain cases be held in solutions in a dissociated state (although but partially); they are similar in their structure to those definite substances which are formed in solutions, but it is not necessary to assume that such systems as na_{ }so_{ } + h_{ }o, or na_{ }so_{ } + h_{ }o, or na_{ }so_{ }, are contained in solutions. the comparatively more stable systems _an__{ }h_{ }o which exist in a free state and change their physical state must present, although within certain limits of temperature, an entirely harmonious kind of motion of _a_ with _n__{ }h_{ }o; the property also and state of systems _an_h_{ }o and _am_h_{ }o, occurring in solutions, is that they are in a liquid form, although partially dissociated. substances _a__{ }, which give solutions, are distinguished by the fact that they can form such unstable systems _an_h_{ }o, but besides them they can give other much more stable systems _an__{ }h_{ }o. thus ethylene, c_{ }h_{ }, in dissolving in water, probably forms a system c_{ }h_{ }_n_h_{ }o, which easily splits up into c_{ }h_{ } and h_{ }o, but it also gives the system of alcohol, c_{ }h_{ },h_{ }o or c_{ }h_{ }o, which is comparatively stable. thus oxygen can dissolve in water, and it can combine with it, forming peroxide of hydrogen. turpentine, c_{ }h_{ }, does not dissolve in water, but it combines with it as a comparatively stable hydrate. in other words, the chemical structure of hydrates, or of the definite compounds which are contained in solutions, is distinguished not only by its original peculiarities but also by a diversity of stability. a similar structure to hydrates must be acknowledged in crystallo-hydrates. on melting they give actual (real) solutions. as substances which give crystallo-hydrates, like salts, are capable of forming a number of diverse hydrates, and as the greater the number of molecules of water (_n_) they (_an_h_{ }o) contain, the lower is the temperature of their formation, and as the more easily they decompose the more water they hold, therefore, in the first place, the isolation of hydrates holding much water existing in aqueous solutions may be soonest looked for at low temperatures (although, perhaps, in certain cases they cannot exist in the solid state); and, secondly, the stability also of such higher hydrates will be at a minimum under the ordinary circumstances of the occurrence of liquid water. hence a further more detailed investigation of cryohydrates may help to the elucidation of the nature of solutions. but it may be foreseen that certain cryohydrates will, like metallic alloys, present solidified mixtures of ice with the salts themselves and their more stable hydrates, and others will be definite compounds. in regarding solutions from this point of view they come under the head of those definite compounds with which chemistry is mainly concerned.[ ] [ ] the above representation of solutions, &c., considering them as a particular state of definite compounds, excludes the independent existence of indefinite compounds; by this means that unity of chemical conception is obtained which cannot be arrived at by admitting the physico-mechanical conception of indefinite compounds. the gradual transition from typical solutions (as of gases in water, and of weak saline solutions) to sulphuric acid, and from it and its definite, but yet unstable and liquid, compounds, to clearly defined compounds, such as salts and their crystallo-hydrates, is so imperceptible, that in denying that solutions pertain to the number of definite but dissociating compounds, we risk denying the definiteness of the atomic composition of such substances as sulphuric acid or of molten crystallo-hydrates. i repeat, however, that for the present the theory of solutions cannot be considered as firmly established. the above opinion about them is nothing more than a hypothesis which endeavours to satisfy those comparatively limited data which we have for the present about solutions, and of those cases of their transition into definite compounds. by submitting solutions to the daltonic conception of atomism, i hope that we may not only attain to a general harmonious chemical doctrine, but also that new motives for investigation and research will appear in the problem of solutions, which must either confirm the proposed theory or replace it by another fuller and truer one; and i for my part cannot consider this to be the case with any of the other present doctrines of solutions (note ). we saw above that copper sulphate loses four-fifths of its water at ° and the remainder at °. this means that there are two definite compounds of water with the anhydrous salt. washing soda or carbonate of sodium, na_{ }co_{ } separates out as crystals, na_{ }co_{ }, h_{ }o, containing · p.c. of water by weight, from its solutions at the ordinary temperature. when a solution of the same salt deposits crystals at a low temperature, about - °, then these crystals contain · parts of water per · parts of anhydrous salt. further, the crystals are obtained together with ice, and are left behind when it melts. if ordinary soda, with · p.c. of water, be cautiously melted in its own water of crystallisation, there remains a salt, in a solid state, containing only · p.c. of water, and a liquid is obtained which contains the solution of a salt which separates out crystals at °, which contain p.c. of water and do not effloresce in air. lastly, if a supersaturated solution of soda be prepared, then at temperatures below ° it deposits crystals containing · p.c. of water. thus as many as five compounds of anhydrous soda with water are known; and they are dissimilar in their properties and crystalline form, and even in their solubility. it is to be observed that the greatest amount of water in the crystals corresponds with a temperature of - °, and the smallest to the highest temperature. there is apparently no relation between the above quantities of water and the salts, but this is only because in each case the amount of water and anhydrous salt was given in percentages; but if it be calculated for one and the same quantity of anhydrous salt, or of water, a great regularity will be observed in the amounts of the component parts in all these compounds. it appears that for parts of anhydrous salt in the crystals separated out at - ° there are parts of water; in the crystals obtained at ° there are parts of water; in the crystals obtained from a supersaturated solution parts, in the crystals which separate out at °, parts, and the crystals with the smallest amount of water, parts. on comparing these quantities of water it may easily be seen that they are in simple proportion to each other, for they are all divisible by , and are in the ratio : : : : . naturally, direct experiment, however carefully it be conducted, is hampered with errors, but taking these unavoidable experimental errors into consideration, it will be seen that for a given quantity of an anhydrous substance there occur, in several of its compounds with water, quantities of water which are in very simple multiple proportion. this is observed in, and is common to, all definite chemical compounds. this rule is called _the law of multiple proportions_. it was discovered by dalton, and will be evolved in further detail subsequently in this work. for the present we will only state that the law of definite composition enables the composition of substances to be expressed by formulæ, and the law of multiple proportions permits the application of whole numbers as coefficients of the symbols of the elements in these formulæ. thus the formula na_{ }co_{ }, h_{ }o shows directly that in this crystallo-hydrate there are parts of water to parts by weight of the anhydrous salt, because the formula of soda, na_{ }co_{ }, directly answers to a weight of , and the formula of water to parts, by weight, which are here taken times. in the above examples of the combinations of water, we saw the gradually increasing intensity of the bond between water and a substance with which it forms a homogeneous compound. there is a series of such compounds with water, in which the water is held with very great force, and is only given up at a very high temperature, and sometimes cannot be separated by any degree of heat without the entire decomposition of the substance. in these compounds there is generally no outward sign whatever of their containing water. a perfectly new substance is formed from an anhydrous substance and water, in which sometimes the properties of neither one nor the other substance are observable. in the majority of cases, a considerable amount of heat is evolved in the formation of such compounds with water. sometimes the heat evolved is so intense that a red heat is produced and light is emitted. it is hardly to be wondered at, after this, that stable compounds are formed by such a combination. their decomposition requires great heat; a large amount of work is necessary to separate them into their component parts. all such compounds are definite, and, generally, completely and clearly definite. the number of such definite compounds with water or _hydrates_, in the narrow sense of the word, is generally inconsiderable for each anhydrous substance; in the greater number of cases, there is formed only one such combination of a substance with water, one hydrate, having so great a stability. the water contained in these compounds is often called _water of constitution_--_i.e._ water which enters into the structure or composition of the given substance. by this it is desired to express, that in other cases the molecules of water are, as it were, separate from the molecules of that substance with which it is combined. it is supposed that in the formation of hydrates this water, even in the smallest particles, forms one complete whole with the anhydrous substance. many examples of the formation of such hydrates might be cited. the most familiar example in practice is the hydrate of lime, or so-called 'slaked' lime. lime is prepared by burning limestone, by which the carbonic anhydride is expelled from it, and there remains a white stony mass, which is dense, compact, and rather tenacious. lime is usually sold in this form, and bears the name of 'quick' or 'unslaked' lime. if water be poured over such lime, a great rise in temperature is remarked either directly, or after a certain time. the whole mass becomes hot, part of the water is evaporated, the stony mass in absorbing water crumbles into powder, and if the water be taken in sufficient quantity and the lime be pure and well burnt, not a particle of the original stony mass is left--it all crumbles into powder. if the water be in excess, then naturally a portion of it remains and forms a solution. this process is called 'slaking' lime. slaked lime is used in practice in intermixture with sand as mortar. slaked lime is a definite hydrate of lime. if it is dried at ° it retains · p.c. of water. this water can only be expelled at a temperature above °, and then quicklime is re-obtained. the heat evolved in the combination of lime with water is so intense that it can set fire to wood, sulphur, gunpowder, &c. even on mixing lime with ice the temperature rises to °. if lime be moistened with a small quantity of water in the dark, a luminous effect is observed. but, nevertheless, water may still be separated from this hydrate.[ ] if phosphorus be burnt in dry air, a white substance called 'phosphoric anhydride' is obtained. it combines with water with such energy, that the experiment must be conducted with great caution. a red heat is produced in the formation of the compound, and it is impossible to separate the water from the resultant hydrate at any temperature. the hydrate formed by phosphoric anhydride is a substance which is totally undecomposable into its original component parts by the action of heat. almost as energetic a combination occurs when sulphuric anhydride, so_{ }, combines with water, forming its hydrate, sulphuric acid, h_{ }so_{ }. in both cases definite compounds are produced, but the latter substance, as a liquid, and capable of decomposition by heat, forms an evident link with solutions. if parts of sulphuric anhydride retain parts of water, this water cannot be separated from the anhydride, even at a temperature of °. it is only by the addition of phosphoric anhydride, or by a series of chemical transformations, that this water can be separated from its compound with sulphuric anhydride. oil of vitriol, or sulphuric acid, is such a compound. if a larger proportion of water be taken, it will combine with the h_{ }so_{ }; for instance, if parts of water per parts of sulphuric anhydride be taken, a compound is formed which crystallises in the cold, and melts at + °, whilst oil of vitriol does not solidify even at - °. if still more water be taken, the oil of vitriol will dissolve in the remaining quantity of water. an evolution of heat takes place, not only on the addition of the water of constitution, but in a less degree on further additions of water.[ ] and therefore there is no distinct boundary, but only a gradual transition, between those chemical phenomena which are expressed in the formation of solutions and those which take place in the formation of the most stable hydrates.[ ] [ ] in combining with water one part by weight of lime evolves units of heat. a high temperature is obtained, because the specific heat of the resulting product is small. sodium oxide, na_{ }o, in reacting on water, h_{ }o, and forming caustic soda (sodium hydroxide), naho, evolves units of heat for each part by weight of sodium oxide. [ ] the diagram given in note shows the evolution of heat on the mixture of sulphuric acid, or monohydrate (h_{ }so_{ }, _i.e._ so_{ } + h_{ }o), with different quantities of water per vols. of the resultant solution. every grams of sulphuric acid (h_{ }so_{ }) evolve, on the addition of grams of water, , units of heat; with twice or three times the quantity of water , and , units of heat, and with an infinitely large quantity of water , units of heat, according to the determinations of thomsen. he also showed that when h_{ }so_{ } is formed from so_{ } (= ) and h_{ }o (= ), , units of heat are evolved per parts by weight of the resultant sulphuric acid. [ ] thus, for different hydrates the stability with which they hold water is very dissimilar. certain hydrates hold water very loosely, and in combining with it evolve little heat. from other hydrates the water cannot be separated by any degree of heat, even if they are formed from anhydrides (_i.e._ anhydrous substances) and water with little evolution of heat; for instance, acetic anhydride in combining with water evolves an inconsiderable amount of heat, but the water cannot then be expelled from it. if the hydrate (acetic acid) formed by this combination be strongly heated it either volatilises without change, or decomposes into new substances, but it does not again yield the original substances--_i.e._, the anhydride and water, at least in a liquid form. here is an instance which gives the reason for calling the water entering into the composition of the hydrate, water of constitution. such, for example, is the water entering into the so-called caustic soda or sodium hydroxide (_see_ note ). but there are hydrates which easily part with their water; yet this water cannot be considered as water of crystallisation, not only because sometimes such hydrates have no crystalline form, but also because, in perfectly analogous cases, very stable hydrates are formed, which are capable of particular kinds of chemical reactions, as we shall subsequently learn. such, for example, is the unstable hydrated oxide of copper, which is not formed from water and oxide of copper, but which is obtained just like far more stable hydrates, for example, the hydrated oxide of barium bah_{ }o_{ } equal to bao + h_{ }o, by the double decomposition of the solution of salts with alkalies. in a word, there is no distinct boundary either between the water of hydrates and of crystallisation, or between solution and hydration. it must be observed that in separating from an aqueous solution, many substances, without having a crystalline form, hold water in the same unstable state as in crystals; only this water cannot be termed 'water of crystallisation' if the substance which separates out has no crystalline form. the hydrates of alumina and silica are examples of such unstable hydrates. if these substances are separated from an aqueous solution by a chemical process, then they always contain water. the formation of a new chemical compound containing water is here particularly evident, for alumina and silica in an anhydrous state have chemical properties differing from those they show when combined with water, and do not combine directly with it. the entire series of colloids on separating from water form similar compounds with it, which have the aspect of solid gelatinous substances. water is held in a considerable quantity in solidified glue or boiled albumin. it cannot be expelled from them by pressure; hence, in this case there has ensued some kind of combination of the substance with water. this water, however, is easily separated on drying; but not the whole of it, a portion being retained, and this portion is considered to belong to the hydrate, although in this case it is very difficult, if not impossible, to obtain definite compounds. the absence of any distinct boundary lines between solutions, crystallo-hydrates, and ordinary hydrates above referred to, is very clearly seen in such examples. we have thus considered many aspects and degrees of combination of various substances with water, or instances of the compounds of water, when it and other substances form new homogeneous substances, which in this case will evidently be complex--_i.e._ made up of different substances--and although they are homogeneous, yet it must be admitted that in them there exist those component parts which entered into their composition, inasmuch as these parts may be re-obtained from them. it must not be imagined that water really exists in hydrate of lime, any more than that ice or steam exists in water. when we say that water occurs in the composition of a certain hydrate, we only wish to point out that there are chemical transformations in which it is possible to obtain that hydrate by means of water, and other transformations in which this water may be separated out from the hydrate. this is all simply expressed by the words, that water enters into the composition of this hydrate. if a hydrate be formed by feeble bonds, and be decomposed even at the ordinary temperature, and be a liquid, then the water appears as one of the products of dissociation, and this gives an idea of what solutions are, and forms the fundamental distinction between them and other hydrates in which the water is combined with greater stability. chapter ii the composition of water, hydrogen the question now arises, is not _water_ itself a _compound substance_? cannot it be formed by the mutual combination of some component parts? cannot it be broken up into its component parts? there cannot be the least doubt that if it does split up, and if it is a compound, then it is a _definite_ one characterised by the stability of the union between those component parts from which it is formed. from the fact alone that water passes into all physical states as a homogeneous whole, without in the least varying chemically in its properties and without splitting up into its component parts (neither solutions nor many hydrates can be distilled--they are split up), we must conclude, from this fact alone, that if water is a compound then it is a stable and definite chemical compound capable of entering into many other combinations. like many other great discoveries in the province of chemistry, it is to the end of the last century that we are indebted for the important discovery that water is not a simple substance, that it is composed of two substances like a number of other compound substances. this was proved by two of the methods by which the compound nature of bodies may be directly determined; by analysis and by synthesis--that is, by a method of the decomposition of water into, and of the formation of water from, its component parts. in cavendish first obtained water by burning hydrogen in oxygen, both of which gases were already known to him. he concluded from this that water was composed of two substances. but he did not make more accurate experiments, which would have shown the relative quantities of the component parts in water, and which would have determined its complex nature with certainty. although his experiments were the first, and although the conclusion he drew from them was true, yet such novel ideas as the complex nature of water are not easily recognised so long as there is no series of researches which entirely and indubitably proves the truth of such a conclusion. the fundamental experiments which proved the complexity of water by the method of synthesis, and of its formation from other substances, were made in by monge, lavoisier, fourcroy, and vauquelin. they obtained four ounces of water by burning hydrogen, and found that water consists of parts of hydrogen and parts of oxygen. it was also proved that the weight of water formed was equal to the sum of the weights of the component parts entering into its composition; consequently, water contains all the matter entering into oxygen and hydrogen. the complexity of water was proved in this manner by a method of synthesis. but we will turn to its analysis--_i.e._ to its decomposition into its component parts. the analysis may be more or less complete. either both component parts may be obtained in a separate state, or else only one is separated and the other is converted into a new compound in which its amount may be determined by weighing. this will be a reaction of substitution, such as is often taken advantage of for analysis. the first analysis of water was thus conducted in by lavoisier and meusnier. the apparatus they arranged consisted of a glass retort containing water previously purified, and of which the weight had been determined. the neck of the retort was inserted into a porcelain tube, placed inside an oven, and heated to a red heat by charcoal. iron filings, which decompose water at a red heat, were placed inside this tube. the end of the tube was connected with a worm, for condensing any water which might pass through the tube undecomposed. this condensed water was collected in a separate flask. the gas formed by the decomposition was collected over water in a bell jar. the aqueous vapour in passing over the red-hot iron was decomposed, and a gas was formed from it whose weight could be determined from its volume, its density being known. besides the water which passed through the tube unaltered, a certain quantity of water disappeared in the experiment, and this quantity, in the experiments of lavoisier and meusnier, was equal to the weight of gas which was collected in the bell jar plus the increase in weight of the iron filings. hence the water was decomposed into a gas, which was collected in the bell jar, and a substance, which combined with the iron; consequently, it is composed of these two component parts. this was the first analysis of water ever made; but here only one (and not both) of the gaseous component parts of water was collected separately. both the component parts of water can, however, be simultaneously obtained in a free state. for this purpose the decomposition is brought about by a galvanic current or by heat, as we shall learn directly.[ ] [ ] the first experiments of the synthesis and decomposition of water did not afford, however, an entirely convincing proof that water was composed of hydrogen and oxygen only. davy, who investigated the decomposition of water by the galvanic current, thought for a long time that, besides the gases, an acid and alkali were also obtained. he was only convinced of the fact that water contains nothing but hydrogen and oxygen by a long series of researches, which showed him that the appearance of an acid and alkali in the decomposition of water proceeds from the presence of impurities (especially from the presence of ammonium nitrate) in water. a final comprehension of the composition of water is obtained from the accurate determination of the quantities of the component parts which enter into its composition. it will be seen from this how many data are necessary for proving the composition of water--that is, of the transformations of which it is capable. what has been said of water refers to all other compounds; the investigation of each one, the entire proof of its composition, can only be obtained by the accumulation of a large mass of data referring to it. water is a bad conductor of electricity--that is, pure water does not transmit a feeble current; but if any salt or acid be dissolved in it, then its conductivity increases, and _on the passage of a current_ through acidified water _it is decomposed_ into its component parts. some sulphuric acid is generally added to the water. by immersing platinum plates (electrodes) in this water (platinum is chosen because it is not acted on by acids, whilst many other metals are chemically acted on by acids), and connecting them with a galvanic battery, it will be observed that bubbles of gas appear on these plates. the gas which separates is called _detonating gas_,[ ] because, on ignition, it very easily explodes.[ ] what takes place is as follows:--first, the water, by the action of the current, is decomposed into two gases. the mixture of these gases forms detonating gas. when detonating gas is brought into contact with an incandescent substance--for instance, a lighted taper--the gases re-combine, forming water, the combination being accompanied by a great evolution of heat, and therefore the vapour of the water formed expands considerably, which it does very rapidly, and as a consequence, an explosion takes place--that is, sound and increase of pressure, and atmospheric disturbance, as in the explosion of gunpowder. [ ] this gas is collected in a voltameter. [ ] in order to observe this explosion without the slightest danger, it is best to proceed in the following manner. some soapy water is prepared, so that it easily forms soap bubbles, and it is poured into an iron trough. in this water, the end of a gas-conducting tube is immersed. this tube is connected with any suitable apparatus, in which detonating gas is evolved. soap bubbles, full of this gas, are then formed. if the apparatus in which the gas is produced be then removed (otherwise the explosion might travel into the interior of the apparatus), and a lighted taper be brought to the soap bubbles, a very sharp explosion takes place. the bubbles should be small to avoid any danger; ten, each about the size of a pea, suffice to give a sharp report, like a pistol shot. in order to discover what gases are obtained by the decomposition of water, the gases which separate at each electrode must be collected separately. for this purpose a v-shaped tube is taken; one of its ends is open and the other fused up. a platinum wire, terminating inside the tube in a plate, is fused into the closed end; the closed end is entirely filled with water[ ] acidified with sulphuric acid, and another platinum wire, terminating in a plate, is immersed in the open end. if a current from a galvanic battery be now passed through the wires an evolution of gases will be observed, and the gas which is obtained in the open branch passes into the air, while that in the closed branch accumulates above the water. as this gas accumulates it displaces the water, which continues to descend in the closed and ascend into the open branch of the tubes. when the water, in this way, reaches the top of the open end, the passage of the current is stopped, and the gas which was evolved from one of the electrodes only is obtained in the apparatus. by this means it is easy to prove that a particular gas appears at each electrode. if the closed end be connected with the negative pole--_i.e._ with that joined to the zinc--then the gas collected in the apparatus is capable of burning. this may be demonstrated by the following experiment:--the bent tube is taken off the stand, and its open end stopped up with the thumb and inclined in such a manner that the gas passes from the closed to the open end. it will then be found, on applying a lighted lamp or taper, that the gas burns. this combustible gas is _hydrogen_. if the same experiment be carried on with a current passing in the opposite direction--that is, if the closed end be joined up with the positive pole (_i.e._ with the carbon, copper, or platinum), then the gas which is evolved from it does not itself burn, but it supports combustion very vigorously, so that a smouldering taper in it immediately bursts into flame. this gas, which is collected at the anode or positive pole, is _oxygen_, which is obtained, as we saw before (in the introduction), from mercury oxide and is contained in air. [ ] in order to fill the tube with water, it is turned up, so that the closed end points downwards and the open end upwards, and water acidified with sulphuric acid is poured into it. thus in the decomposition of water oxygen appears at the positive pole and hydrogen at the negative pole,[ bis] so that detonating gas will be a mixture of both. hydrogen burns in air from the fact that in doing so it re-forms water, with the oxygen of the air. detonating gas explodes from the fact that the hydrogen burns in the oxygen mixed with it. it is very easy to measure the relative quantities of one and the other gas which are evolved in the decomposition of water. for this purpose a funnel is taken, whose orifice is closed by a cork through which two platinum wires pass. these wires are connected with a battery. acidified water is poured into the funnel, and a glass cylinder full of water is placed over the end of each wire (fig. ). on passing a current, hydrogen and oxygen collect in these cylinders, and it will easily be seen that two volumes of hydrogen are evolved for every one volume of oxygen. this signifies that, in decomposing, water gives two volumes of hydrogen and one volume of oxygen. [ bis] owing to the gradual but steady progress made during the last twenty-five years in the production of an electric current from the dynamo and its transmission over considerable distances, the electrolytic decomposition of many compound bodies has acquired great importance, and the use of the electric current is making its way into many chemical manufactures. hence, prof. d. a. lachinoff's proposal to obtain hydrogen and oxygen (both of which have many applications) by means of electrolysis (either of a to per cent. solution of caustic soda or a per cent. solution of sulphuric acid) may find a practical application, at all events in the future. in general, owing to their simplicity, electrolytic methods have a great future, but as yet, so long as the production of an electric current remains so costly, their application is limited. and for this reason, although certain of these methods are mentioned in this work, they are not specially considered, the more so since a profitable and proper use of the electric current for chemical purposes requires special electro-technical knowledge which beginners cannot he assumed to have, and therefore, an exposition of the principles of electrotechnology as applied, to the production of chemical transformations, although referred to in places, does not come within the scope of the present work. [illustration: fig. .--decomposition of water by the galvanic current, for determining the relation between the volumes of hydrogen and oxygen.] water is also decomposed into its component parts by _the action of heat_. at the melting point of silver ( °), and in its presence, water is decomposed and the oxygen absorbed by the molten silver, which dissolves it so long as it is liquid. but directly the silver solidifies the oxygen is expelled from it. however, this experiment is not entirely convincing; it might be thought that in this case the decomposition of the water did not proceed from the action of heat, but from the action of the silver on water--that silver decomposes water, taking up the oxygen. if steam be passed through a red-hot tube, whose internal temperature attains , °, then a portion[ ] of the water decomposes into its component parts, forming detonating gas. but on passing into the cooler portions of the apparatus this detonating gas again reunites and forms water. the hydrogen and oxygen obtained combine together at a lower temperature.[ ] apparently the problem--to show the decomposability of water at high temperatures--is unattainable. it was considered as such before henri sainte-claire deville (in the fifties) introduced the conception of dissociation into chemistry, as of a change of chemical state resembling evaporation, if decomposition be likened to boiling, and before he had demonstrated the decomposability of water by the action of heat in an experiment which will presently be described. in order to demonstrate clearly the _dissociation_ of water, or its decomposability by heat, at a temperature approaching that at which it is formed, it was necessary to separate the hydrogen from the oxygen at a high temperature, without allowing the mixture to cool. deville took advantage of the difference between the densities of hydrogen and oxygen. [ ] as water is formed by the combination of oxygen and hydrogen, with a considerable evolution of heat, and as it can also be decomposed, this reaction is a reversible one (_see_ introduction), and consequently at a high temperature the decomposition of water cannot be complete--it is limited by the opposite reaction. strictly speaking, it is not known how much water is decomposed at a given temperature, although many efforts (bunsen, and others) have been made in various directions to solve this question. not knowing the coefficient of expansion, and the specific heat of gases at such high temperatures, renders all calculations (from observations of the pressure on explosion) doubtful. [ ] grove, in , observed that a platinum wire fused in the oxyhydrogen flame--that is, having acquired the temperature of the formation of water--and having formed a molten drop at its end which fell into water, evolved detonating gas--that is, decomposed water. it therefore follows that water already decomposes at the temperature of its formation. at that time, this formed a scientific paradox; this we shall unravel only with the development of the conceptions of dissociation, introduced into science by henri sainte-claire deville, in . these conceptions form an important epoch in science, and their development is one of the problems of modern chemistry. the essence of the matter is that, at high temperatures, water exists but also decomposes, just as a volatile liquid, at a certain temperature, exists both as a liquid and as a vapour. similarly as a volatile liquid saturates a space, attaining its maximum tension, so also the products of dissociation have their maximum tension, and once that is attained decomposition ceases, just as evaporation ceases. under like conditions, if the vapour be allowed to escape (and therefore its partial pressure be diminished), evaporation recommences, so also if the products of decomposition be removed, decomposition again continues. these simple conceptions of dissociation introduce infinitely varied consequences into the mechanism of chemical reactions, and therefore we shall have occasion to return to them very often. we may add that grove also concluded that water was decomposed at a white heat, from the fact that he obtained detonating gas by passing steam through a tube with a wire heated strongly by an electric current, and also by passing steam over molten oxide of lead, he obtained, on the one hand, litharge (= oxide of lead and oxygen), and on the other, metallic lead formed by the action of hydrogen. [illustration: fig. .--decomposition of water by the action of heat, and the separation of the hydrogen formed by its permeating through a porous tube.] a wide porcelain tube p (fig. ) is placed in a furnace, which can be raised to a high temperature (it should be heated with small pieces of good coke). in this tube there is inserted a second tube t, of smaller diameter, made of unglazed earthenware and therefore porous. the ends of the tube are luted to the wide tube, and two tubes, c and c', are inserted into the ends, as shown in the drawing. with this arrangement it is possible for a gas to pass into the annular space between the walls of the two tubes, from whence it can be collected. steam from a retort or flask is passed through the tube d, into the inner porous tube t. this steam on entering the red-hot space is decomposed into hydrogen and oxygen. the densities of these gases are very different, hydrogen being sixteen times lighter than oxygen. light gases, as we saw above, penetrate through porous surfaces very much more rapidly than denser gases, and therefore the hydrogen passes through the pores of the tube into the annular space very much more rapidly than the oxygen. the hydrogen which separates out into the annular space can only be collected when this space does not contain any oxygen. if any air remains in this space, then the hydrogen which separates out will combine with its oxygen and form water. for this reason a gas incapable of supporting combustion--for instance, nitrogen or carbonic anhydride--is previously passed into the annular space. thus the carbonic anhydride is passed through the tube c, and the hydrogen, separated from the steam, is collected through the tube c', and will be partly mixed with carbonic anhydride. a certain portion of the carbonic anhydride will penetrate through the pores of the unglazed tube into the interior of the tube t. the oxygen will remain in this tube, and the volume of the remaining oxygen will be half that of the volume of hydrogen which separates out from the annular space.[ bis] [ bis] part of the oxygen will also penetrate through the pores of the tube; but, as was said before, a much smaller quantity than the hydrogen, and as the density of oxygen is sixteen times greater than that of hydrogen, the volume of oxygen which passes through the porous walls will be four times less than the volume of hydrogen (the quantities of gases passing through porous walls are inversely proportional to the square roots of their densities). the oxygen which separates out into the annular space will combine, at a certain fall of temperature, with the hydrogen; but as each volume of oxygen only requires two volumes of hydrogen, whilst at least four volumes of hydrogen will pass through the porous walls for every volume of oxygen that passes, therefore, part of the hydrogen will remain free, and can be collected from the annular space. a corresponding quantity of oxygen remaining from the decomposition of the water can be collected from the internal tube. the decomposition of water is effected much more easily by a method of substitution, taking advantage of the affinity of substances for the oxygen or the hydrogen of water. if a substance be added to water, which takes up the oxygen and replaces the hydrogen--then we shall obtain the latter gas from the water. thus with sodium, water gives hydrogen, and with chlorine, which takes up the hydrogen, oxygen is obtained. hydrogen is evolved from water by many metals, which are capable of forming oxides in air--that is, which are capable of burning or combining with oxygen. the capacity of metals for combining with oxygen, and therefore for decomposing water, or for the evolution of hydrogen, is very dissimilar.[ ] among metals, potassium and sodium exhibit considerable energy in this respect. the first occurs in potash, the second in soda. they are both lighter than water, soft, and easily change in air. by bringing one or the other of them in contact with water at the ordinary temperature,[ ] a quantity of hydrogen, corresponding with the amount of the metal taken, may be directly obtained. one gram of hydrogen, occupying a volume of · litres at ° and mm., is evolved from every grams of potassium, or grams of sodium. the phenomenon may be observed in the following way: a solution of sodium in mercury--or 'sodium amalgam,' as it is generally called--is poured into a vessel containing water, and owing to its weight sinks to the bottom; the sodium held in the mercury then acts on the water like pure sodium, liberating hydrogen. the mercury does not act here, and the same amount of it as was taken for dissolving the sodium is obtained in the residue. the hydrogen is evolved gradually in the form of bubbles, which pass through the liquid. [ ] in order to demonstrate the difference of the affinity of oxygen for different elements, it is enough to compare the amounts of heats which are evolved in their combination with parts by weight of oxygen; in the case of sodium (when na_{ }o is formed, or parts of na combine with parts of oxygen, according to beketoff) , calories (or units of heat), are evolved, for hydrogen (when water, h_{ }o, is formed) , calories, for iron (when the oxide feo is formed) , , and if the oxide fe_{ }o_{ } is formed, , calories, for zinc (zno is formed) , calories, for lead (when pbo is formed) , calories, for copper (when cuo is formed) , calories, and for mercury (hgo is formed) , calories. these figures cannot correspond directly with the magnitude of the affinities, for the physical and mechanical side of the matter is very different in the different cases. hydrogen is a gas, and, in combining with oxygen, gives a liquid; consequently it changes its physical state, and, in doing so, evolves heat. but zinc and copper are solids, and, in combining with oxygen, give solid oxides. the oxygen, previously a gas, now passes into a solid or liquid state, and, therefore, also must have given up its store of heat in forming oxides. as we shall afterwards see, the degree of contraction (and consequently of mechanical work) was different in the different cases, and therefore the figures expressing the heat of combination cannot directly depend on the affinities, on the loss of internal energy previously in the elements. nevertheless, the figures above cited correspond, in a certain degree, with the order in which the elements stand in respect to their affinity for oxygen, as may be seen from the fact that the mercury oxide, which evolves the least heat (among the above examples), is the least stable is easily decomposed, giving up its oxygen; whilst sodium, the formation of whose oxide is accompanied by the greatest evolution of heat, is able to decompose all the other oxides, taking up their oxygen. in order to generalise the connection between affinity and the evolution and the absorption of heat, which is evident in its general features, and was firmly established by the researches of favre and silbermann (about ), and then of thomsen (in denmark) and berthelot (in france), many investigators, especially the one last mentioned, established the _law of maximum work_. this states that only those chemical reactions take place of their own accord in which the greatest amount of chemical (latent, potential) energy is transformed into heat. but, in the first place, we are not able, judging from what has been said above, to distinguish that heat which corresponds with purely chemical action from the sum total of the heat observed in a reaction (in the calorimeter); in the second place, there are evidently endothermal reactions which proceed under the same circumstances as exothermal (carbon burns in the vapour of sulphur with absorption of heat, whilst in oxygen it evolves heat); and, in the third place, there are reversible reactions, which when taking place in one direction evolve heat, and when taking place in the opposite direction absorb it; and, therefore, the principle of maximum work in its elementary form is not supported by science. but the subject continues to be developed, and will probably lead to a general law, such as thermal chemistry does not at present possess. [ ] if a piece of metallic sodium be thrown into water, it floats on it (owing to its lightness), keeps in a state of continual motion (owing to the evolution of hydrogen on all sides), and immediately decomposes the water, evolving hydrogen, which can be lighted. this experiment may, however, lead to an explosion should the sodium stick to the walls of the vessel, and begin to act on the limited mass of water immediately adjacent to it (probably in this case naho forms with na, na_{ }o, which acts on the water, evolving much heat and rapidly forming steam), and the experiment should therefore be carried on with caution. the decomposition of water by sodium may he better demonstrated, and with greater safety, in the following manner. into a glass cylinder filled with mercury, and immersed in a mercury bath, water is first introduced, which will, owing to its lightness, rise to the top, and then a piece of sodium wrapped in paper is introduced with forceps into the cylinder. the metal rises through the mercury to the surface of the water, on which it remains, and evolves hydrogen, which collects in the cylinder, and may be tested after the experiment has been completed. the safest method of making this experiment is, however, as follows. the sodium (cleaned from the naphtha in which it is kept) is either wrapped in fine copper gauze and held by forceps, or else held in forceps at the end of which a small copper cage is attached, and is then held under water. the evolution of hydrogen goes on quietly, and it may he collected in a bell jar and then lighted. beyond the hydrogen evolved and a solid substance, which remains in solution (it may be obtained by evaporating the resultant solution) no other products are here obtained. consequently, from the two substances (water and sodium) taken, the same number of new substances (hydrogen and the substance dissolved in water) have been obtained, from which we may conclude that the reaction which here takes place is a reaction of double decomposition or of substitution. the resultant solid is nothing else but the so-called caustic soda (sodium hydroxide), which is made up of sodium, oxygen, and half of the hydrogen contained in the water. therefore, the substitution took place between the hydrogen and the sodium, namely half of the hydrogen in the water was replaced by the sodium, and was evolved in a free state. hence the reaction which takes place here may be expressed by the equation h_{ }o + na = naho + h; the meaning of this is clear from what has already been said.[ ] [ ] this reaction is vigorously exothermal, _i.e._ it is accompanied by the evolution of heat. if a sufficient quantity of water be taken the whole of the sodium hydroxide, naho, formed is dissolved, and about , units of heat are evolved per grams of sodium taken. as grams of sodium hydroxide are produced, and they in dissolving, judging from direct experiment, evolve about , calories; therefore, without an excess of water, and without the formation of a solution, the reaction would evolve about , calories. we shall afterwards learn that hydrogen contains in its smallest isolable particles h_{ } and not h, and therefore it follows that the reaction should be written thus-- na + h_{ }o = h_{ } + naoh, and it then corresponds with an evolution of heat of + , calories. and as n. n. beketoff showed that na_{ }o, or anhydrous oxide of sodium, forms the hydrate, or sodium hydroxide (caustic soda), naho, with water, evolving about , calories, therefore the reaction na + h_{ }o = h_{ } + na_{ }o corresponds to , calories. this quantity of heat is less than that which is evolved in combining with water, in the formation of caustic soda, and therefore it is not to be wondered at that the hydrate, naho, is always formed and not the anhydrous substance na_{ }o. that such a conclusion, which agrees with facts, is inevitable is also seen from the fact that, according to beketoff, the anhydrous sodium oxide, na_{ }o, acts directly on hydrogen, with separation of sodium, na_{ }o + h = naho + na. this reaction is accompanied by an evolution of heat equal to about , calories, because na_{ }o + h_{ }o gives, as we saw, , calories and na + h_{ }o evolves , calories. however, an opposite reaction also takes place--naho + na = na_{ }o + h (both with the aid of heat)--consequently, in this case heat is absorbed. in this we see an example of calorimetric calculations and the limited application of the law of maximum work for the general phenomena of reversible reactions, to which the case just considered belongs. but it must be remarked that all reversible reactions evolve or absorb but little heat, and the reason of the law of maximum work, not being universal must first of all be looked for in the fact that we have no means of separating the heat which corresponds with the purely chemical process from the sum total of the heat observed, and as the structure of a number of substances is altered by heat and also by contact, we can scarcely hope that the time approaches when such a distinction will be possible. a heated substance, in point of fact, has no longer the original energy of its atoms--that is, the act of heating not only alters the store of motion of the molecules but also of the atoms forming the molecules, in other words, it makes the beginning of or preparation for chemical change. from this it must be concluded that thermochemistry, or the study of the heat accompanying chemical transformations, cannot he identified with chemical mechanics. thermo-chemical data form a part of it, but they alone cannot give it. sodium and potassium act on water at the ordinary temperature. other heavier metals only act on it with a rise of temperature, and then not so rapidly or vigorously. thus magnesium and calcium only liberate hydrogen from water at its boiling point, and zinc and iron only a red heat, whilst a whole series of heavy metals, such as copper, lead, mercury, silver, gold, and platinum, do not in the least decompose water at any temperature, and do not replace its hydrogen. from this it is clear that hydrogen may be obtained by the decomposition of steam by the action of iron (or zinc) with a rise of temperature. the experiment is conducted in the following manner: pieces of iron (filings, nails, &c.), are placed in a porcelain tube, which is then subjected to a strong heat and steam passed through it. the steam, coming into contact with the iron, gives up its oxygen to it, and thus the hydrogen is set free and passes out at the other end of the tube together with undecomposed steam. this method, which is historically very significant,[ ] is practically inconvenient, as it requires a rather high temperature. further, this reaction, as a reversible one (a red-hot mass of iron decomposes a current of steam, forming oxide and hydrogen; and a mass of oxide of iron, heated to redness in a stream of hydrogen, forms iron and steam), does not proceed in virtue of the comparatively small difference between the affinity of oxygen for iron (or zinc) and for hydrogen, but only because the hydrogen escapes, as it is formed, in virtue of its elasticity.[ ] if the oxygen compounds--that is, the oxides--which are obtained from the iron or zinc, be able to pass into solution, then the affinity acting in solution is added, and the reaction may become non-reversible, and proceed with comparatively much greater facility.[ ] as the oxides of iron and zinc, by themselves insoluble in water, are capable of combining with (have an affinity for) acid oxides (as we shall afterwards fully consider), and form saline and soluble substances, with acids, or hydrates having acid properties, hence by the action of such hydrates, or of their aqueous solutions,[ ] iron and zinc are able to liberate hydrogen with great ease at the ordinary temperature--that is, they act on solutions of acids just as sodium acts on water.[ ] sulphuric acid, h_{ }so_{ }, is usually chosen for this purpose; the hydrogen is displaced from it by many metals with much greater facility than directly from water, and such a displacement is accompanied by the evolution of a large amount of heat.[ ] when the hydrogen in sulphuric acid is replaced by a metal, a substance is obtained which is called a salt of sulphuric acid or a sulphate. thus, by the action of zinc on sulphuric acid, hydrogen and zinc sulphate znso_{ },[ bis] are obtained. the latter is a solid substance, soluble in water. in order that the action of the metal on the acid should go on regularly, and to the end, it is necessary that the acid should be diluted with water, which dissolves the salt as it is formed; otherwise the salt covers the metal, and hinders the acid from attacking it. usually the acid is diluted with from three to five times its volume of water, and the metal is covered with this solution. in order that the metal should act rapidly on the acid, it should present a large surface, so that a maximum amount of the reacting substances may come into contact in a given time. for this purpose the zinc is used as strips of sheet zinc, or in the granulated form (that is, zinc which has been poured from a certain height, in a molten state, into water). the iron should be in the form of wire, nails, filings, or cuttings. [illustration: fig. .--apparatus for the preparation of hydrogen from zinc and sulphuric acid.] [ ] the composition of water, as we saw above, was determined by passing steam over red-hot iron; the same method has been used for making hydrogen for filling balloons. an oxide having the composition fe_{ }o_{ } is formed in the reaction, so that it is expressed by the equation fe + h_{ }o = fe_{ }o_{ } + h. [ ] the reaction between iron and water (note ) is reversible. by heating the oxide in a current of hydrogen, water and iron are obtained. from this it follows, from the principle of chemical equilibria, that if iron and hydrogen be taken, and also oxygen, but in such a quantity that it is insufficient for combination with both substances, then it will divide itself between the two; part of it will combine with the iron and the other part with the hydrogen, but a portion of both will remain in an uncombined state. therefore, if iron and water be placed in a closed space, decomposition of the water will proceed on heating to the temperature at which the reaction fe + h_{ }o = fe_{ }o_{ } + h commences; but it ceases, does not go on to the end, because the conditions for a reverse reaction are attained, and a state of equilibrium will ensue after the decomposition of a certain quantity of water. here again (_see_ note ) the reversibility is connected with the small heat effect, and again both reactions (direct and reverse) proceed at a red heat. but if, in the above-described reaction, the hydrogen escapes as it is evolved, then its partial pressure does not increase with its formation, and therefore all the iron can he oxidised by the water. in this we see the elements of that influence of mass to which we shall have occasion to return later. with copper and lead there will be no decomposition, either at the ordinary or at a high temperature, because the affinity of these metals for oxygen is much less than that of hydrogen. [ ] in general, if reversible as well as non-reversible reactions can take place between substances acting on each other, then, judging by our present knowledge, the non-reversible reactions take place in the majority of cases, which obliges one to acknowledge the action, in this case, of comparatively strong affinities. the reaction, zn + h_{ }so_{ } = h_{ } + znso_{ }, which takes place in solutions at the ordinary temperature, is scarcely reversible under these conditions, but at a certain high temperature it becomes reversible, because at this temperature zinc sulphate and sulphuric acid split up, and the action must take place between the water and zinc. from the preceding proposition results proceed which are in some cases verified by experiment. if the action of zinc or iron on a solution of sulphuric acid presents a non-reversible reaction, then we may by this means obtain hydrogen in a very compressed state, and compressed hydrogen will not act on solutions of sulphates of the above-named metals. this is verified in reality as far as was possible in the experiments to keep up the compression or pressure of the hydrogen. those metals which do not evolve hydrogen with acids, on the contrary, should, at least at an increase of pressure, be displaced by hydrogen. and in fact brunner showed that gaseous hydrogen displaces platinum and palladium from the aqueous solutions of their chlorine compounds, but not gold, and beketoff succeeded in showing that silver and mercury, under a considerable pressure, are separated from the solutions of certain of their compounds by means of hydrogen. reaction already commences under a pressure of six atmospheres, if a weak solution of silver sulphate be taken; with a stronger solution a much greater pressure is required, however, for the separation of the silver. [ ] for the same reason, many metals in acting on solutions of the alkalis displace hydrogen. aluminium acts particularly clearly in this respect, because its oxide gives a soluble compound with alkalis. for the same reason tin, in acting on hydrochloric acid, evolves hydrogen, and silicon does the same with hydrofluoric acid. it is evident that in such cases the sum of all the affinities plays a part; for instance, taking the action of zinc on sulphuric acid, we have the affinity of zinc for oxygen (forming zinc oxide, zno), the affinity of its oxide for sulphuric anhydride, so_{ } (forming zinc sulphate, znso_{ }), and the affinity of the resultant salt, znso_{ }, for water. it is only the first-named affinity that acts in the reaction between water and the metal, if no account is taken of those forces (of a physico-mechanical character) which act between the molecules (for instance, the cohesion between the molecules of the oxide) and those forces (of a chemical character) which act between the atoms forming the molecule, for instance, between the atoms of hydrogen giving the molecule h_{ } containing two atoms. i consider it necessary to remark, that the hypothesis of the affinity or endeavour of heterogeneous atoms to enter into a common system and in harmonious motion (_i.e._ to form a compound molecule) must inevitably be in accordance with the hypothesis of forces including homogeneous atoms to form complex molecules (for instance, h_{ }), and to build up the latter into solid or liquid substances, in which the existence of an attraction between the homogeneous particles must certainly be admitted. therefore, those forces which bring about solution must also be taken into consideration. these are all forces of one and the same series, and in this may be seen the great difficulties surrounding the study of molecular mechanics and its province--chemical mechanics. [ ] it is acknowledged that zinc itself acts on water, even at the ordinary temperature, but that the action is confined to small masses and only proceeds at the surface. in reality, zinc, in the form of a very fine powder, or so-called 'zinc dust,' is capable of decomposing water with the formation of oxide (hydrated) and hydrogen. the oxide formed acts on sulphuric acid, water then dissolves the salt produced, and the action continues because one of the products of the action of water on zinc, zinc oxide, is removed from the surface. one might naturally imagine that the reaction does not proceed directly between the metal and water, but between the metal and the acid, but such a simple representation, which we shall cite afterwards, hides the mechanism of the reaction, and does not permit of its actual complexity being seen. [ ] according to thomsen the reaction between zinc and a very weak solution of sulphuric acid evolves about , calories (zinc sulphate being formed) per parts by weight of zinc; and parts by weight of iron--which combine, like parts by weight of zinc, with parts by weight of oxygen--evolve about , calories (forming ferrous sulphate, feso_{ }). paracelsus observed the action of metals on acids in the seventeenth century; but it was not until the eighteenth century that lémery determined that the gas which is evolved in this action is a particular one which differs from air and is capable of burning. even boyle confused it with air. cavendish determined the chief properties of the gas discovered by paracelsus. at first it was called 'inflammable air'; later, when it was recognised that in burning it gives water, it was called hydrogen, from the greek words for water and generator. [ bis] if, when the sulphuric acid is poured over the zinc, the evolution of the hydrogen proceed too slowly, it may be greatly accelerated by adding a small quantity of a solution of cuso_{ } or ptcl_{ } to the acid. the reason of this is explained in chap. xvi., note bis. the usual method of obtaining hydrogen is as follows:--a certain quantity of granulated zinc is put into a double-necked, or woulfe's, bottle. into one neck a funnel is placed, reaching to the bottom of the bottle, so that the liquid poured in may prevent the hydrogen from escaping through it. the gas escapes through a special gas conducting tube, which is firmly fixed, by a cork, into the other neck, and ends in a water bath (fig. ), under the orifice of a glass cylinder full of water.[ ] if sulphuric acid be now poured into the woulfe's bottle it will soon be seen that bubbles of a gas are evolved, which is hydrogen. the first part of the gas evolved should not be collected, as it is mixed with the air originally in the apparatus. this precaution should be taken in the preparation of all gases. time must be allowed for the gas evolved to displace all the air from the apparatus, otherwise in testing the combustibility of the hydrogen an explosion may occur from the formation of detonating gas (the mixture of the oxygen of the air with the hydrogen).[ ] [ ] as laboratory experiments with gases require a certain preliminary knowledge, we will describe certain _practical methods for the collection and preparation of gases_. when in laboratory practice an intermittent supply of hydrogen (or other gas which is evolved without the aid of heat) is required the apparatus represented in fig. is the most convenient. it consists of two bottles, having orifices at the bottom, in which corks with tubes are placed, and these tubes are connected by an india-rubber tube (sometimes furnished with a spring clamp). zinc is placed in one bottle, and dilute sulphuric acid in the other. the neck of the former is closed by a cork, which is fitted with a gas-conducting tube with a stopcock. if the two bottles are connected with each other and the stopcock be opened, the acid will flow to the zinc and evolve hydrogen. if the stopcock be closed, the hydrogen will force out the acid from the bottle containing the zinc, and the action will cease. or the vessel containing the acid may be placed at a lower level than that containing the zinc, when all the liquid will flow into it, and in order to start the action the acid vessel may be placed on a higher level than the other, and the acid will flow to the zinc. it can also be employed for collecting gases (as an aspirator or gasometer). [illustration: fig. .--a very convenient apparatus for the preparation of gases obtained without heat. it may also replace an aspirator or gasometer.] in laboratory practice, however, other forms of apparatus are generally employed for exhausting, collecting, and holding gases. we will here cite the most usual forms. an _aspirator_ usually consists of a vessel furnished with a stopcock at the bottom. a stout cork, through which a glass tube passes, is fixed into the neck of this vessel. if the vessel be filled up with water to the cork and the bottom stopcock is opened, then the water will run out and draw gas in. for this purpose the glass tube is connected with the apparatus from which it is desired to pump out or exhaust the gas. [illustration: fig. .--continuous aspirator. the tube _d_ should be more than feet long.] the aspirator represented in fig. may be recommended for its continuous action. it consists of a tube _d_ which widens out at the top, the lower part being long and narrow. in the expanded upper portion _c_, two tubes are sealed; one, _e_, for drawing in the gas, whilst the other, _b_, is connected to the water supply _w_. the amount of water supplied through the tube _b_ must be less than the amount which can be carried off by the tube _d_. owing to this the water in the tube _d_ will flow through it in cylinders alternating with cylinders of gas, which will be thus carried away. the gas which is drawn through may be collected from the end of the tube _d_, but this form of pump is usually employed where the air or gas aspirated is not to be collected. if the tube _d_ is of considerable length, say ft. or more, a very fair vacuum will be produced, the amount of which is shown by the gauge _g_; it is often used for filtering under reduced pressure, as shown in the figure. if water be replaced by mercury, and the length of the tube _d_ be greater than mm., the aspirator may be employed as an air-pump, and all the air may be exhausted from a limited space; for instance, by connecting _g_ with a hollow sphere. [illustration: fig. .--gasholder.] _gasholders_ are often used for collecting and holding gases. they are made of glass, copper, or tin plate. the usual form is shown in fig. . the lower vessel _b_ is made hermetically tight--_i.e._, impervious to gases--and is filled with water. a funnel is attached to this vessel (on several supports). the vessel _b_ communicates with the bottom of the funnel by a stopcock _b_ and a tube _a_, reaching to the bottom of the vessel _b_. if water be poured into the funnel and the stopcocks _a_ and _b_ opened, the water will run through _a_, and the air escape from the vessel _b_ by _b_. a glass tube _f_ runs up the side of the vessel _b_, with which it communicates at the top and bottom, and shows the amount of water and gas the gasholder contains. in order to fill the gasholder with a gas, it is first filled with water, the cocks _a_, _b_ and _e_ are closed, the nut _d_ unscrewed, and the end of the tube conducting the gas from the apparatus in which it is generated is passed into _d_. as the gas fills the gasholder, the water runs out at _d_. if the pressure of a gas be not greater than the atmospheric pressure and it be required to collect it in the gasholder, then the stopcock _e_ is put into communication with the space containing the gas. then, having opened the orifice _d_, the gasholder acts like an aspirator; the gas will pass through _e_, and the water run out at _d_. if the cocks be closed, the gas collected in the gasholder may be easily preserved and transported. if it be desired to transfer this gas into another vessel, then a gas-conducting tube is attached to _e_, the cock _a_ opened, _b_ and _d_ closed, and the gas will then pass out at _e_, owing to its pressure in the apparatus being greater than the atmospheric pressure, due to the pressure of the water poured into the funnel. if it be required to fill a cylinder or flask with the gas, it is filled with water and inverted in the funnel, and the stopcocks _b_ and _a_ opened. then water will run through _a_, and the gas will escape from the gasholder into the cylinder through _b_. [ ] when it is required to prepare hydrogen in large quantities for filling balloons, copper vessels or wooden casks lined with lead are employed; they are filled with scrap iron, over which dilute sulphuric acid is poured. the hydrogen generated from a number of casks is carried through lead pipes into special casks containing water (in order to cool the gas) and lime (in order to remove acid fumes). to avoid loss of gas all the joints are made hermetically tight with cement or tar. in order to fill his gigantic balloon (of , cubic metres capacity), giffard, in , constructed a complicated apparatus for giving a continuous supply of hydrogen, in which a mixture of sulphuric acid and water was continually run into vessels containing iron, and from which the solution of iron sulphate formed was continually drawn off. when coal gas, extracted from coal, is employed for filling balloons, it should be as light, or as rich in hydrogen, as possible. for this reason, only the last portions of the gas coming from the retorts are collected, and, besides this, it is then sometimes passed through red-hot vessels, in order to decompose the hydrocarbons as much as possible; charcoal is deposited in the red-hot vessels, and hydrogen remains as gas. coal gas may be yet further enriched in hydrogen, and consequently rendered lighter, by passing it over an ignited mixture of charcoal and lime. l. mond (london) proposes to manufacture hydrogen on a large scale from water gas (_see infra_, and chapters viii. and ix.), which contains a mixture of oxide of carbon (co) and hydrogen, and is produced by the action of steam upon incandescent coke (c + h_{ }o = co + h_{ }). he destroys the oxide of carbon by converting it into carbon and carbonic anhydride ( co = c + co_{ }), which is easily done by means of incandescent, finely-divided metallic nickel; the carbon then remains with the nickel, from which it may be removed by burning it in air, and the nickel can then be used over again (_see_ chapter ix., note bis). the co_{ } formed is removed from the hydrogen by passing it through milk of lime. this process should apparently give hydrogen on a large scale more economically than any of the methods hitherto proposed. hydrogen, besides being contained in water, is also contained in many other substances,[ ] and may be obtained from them. as examples of this, it may be mentioned ( ) that a mixture of formate of sodium, chnao_{ }, and caustic soda, naho, when heated to redness, forms sodium carbonate, na_{ }co_{ }, and hydrogen, h_{ };[ ] ( ) that a number of organic substances are decomposed at a red heat, forming hydrogen, among other gases, and thus it is that hydrogen is contained in ordinary coal gas. [ ] of the metals, only a very few combine with hydrogen (for example, sodium), and give substances which are easily decomposed. of the non-metals, the halogens (fluorine, chlorine, bromine, and iodine) most easily form hydrogen compounds; of these the hydrogen compound of chlorine, and still more that of fluorine, is stable, whilst those of bromine and iodine are easily decomposed, especially the latter. the other non-metals--for instance, sulphur, carbon, and phosphorus--give hydrogen compounds of different composition and properties, but they are all less stable than water. the number of the carbon compounds of hydrogen is enormous, but there are very few among them which are not decomposed, with separation of the carbon and hydrogen, at a red heat. [ ] the reaction expressed by the equation cnaho_{ } + naho = cna_{ }o_{ } + h_{ } may be effected in a glass vessel, like the decomposition of copper carbonate or mercury oxide (_see_ introduction); it is non-reversible, and takes place without the presence of water, and therefore pictet (_see_ later) made use of it to obtain hydrogen under great pressure. charcoal itself liberates hydrogen from steam at a high temperature;[ ] but the reaction which here takes place is distinguished by a certain complexity, and will therefore be considered later. [ ] the reaction between charcoal and superheated steam is a double one--that is, there may be formed either carbonic oxide, co (according to the equation h_{ }o + c = h_{ } + co), or carbonic anhydride co_{ } (according to the equation h_{ }o + c = h_{ } + co_{ }), and the resulting mixture is called _water-gas_; we shall speak of it in chapter ix. _the properties of hydrogen._--hydrogen presents us with an example of a gas which at first sight does not differ from air. it is not surprising, therefore, that paracelsus, having discovered that an aëriform substance is obtained by the action of metals on sulphuric acid, did not determine exactly its difference from air. in fact, hydrogen, like air, is colourless, and has no smell;[ ] but a more intimate acquaintance with its properties proves it to be entirely different from air. the first sign which distinguishes hydrogen from air is its combustibility. this property is so easily observed that it is the one to which recourse is usually had in order to recognise hydrogen, if it is evolved in a reaction, although there are many other combustible gases. but before speaking of the combustibility and other chemical properties of hydrogen, we will first describe the physical properties of this gas, as we did in the case of water. it is easy to show that it is one of the lightest gases.[ ] if passed into the bottom of a flask full of air, hydrogen will not remain in it, but, owing to its lightness, rapidly escapes and mixes with the atmosphere. if, however, a cylinder whose orifice is turned downwards be filled with hydrogen, it will not escape, or, more correctly, it will only slowly mix with the atmosphere. this may be demonstrated by the fact that a lighted taper sets fire to the hydrogen at the orifice of the cylinder, and is itself extinguished inside the cylinder. hence, hydrogen, being itself combustible, does not support combustion. the great lightness of hydrogen is taken advantage of for balloons. ordinary coal gas, which is often also used for the same purpose, is only about twice as light as air, whilst hydrogen is - / times lighter than air. a very simple experiment with soap bubbles very well illustrates the application of hydrogen for filling balloons. charles, of paris, showed the lightness of hydrogen in this way, and constructed a balloon filled with hydrogen almost simultaneously with montgolfier. one litre of pure and dry hydrogen[ ] at ° and mm. pressure weighs · gram; that is, hydrogen is almost - / (more exactly, · ) times lighter than air. it is the lightest of all gases. the small density of hydrogen determines many remarkable properties which it shows; thus, hydrogen passes exceedingly rapidly through fine orifices, its molecules (chapter i.) being endued with the greatest velocity.[ ] at pressures somewhat higher than the atmospheric pressure, all other gases exhibit a greater compressibility and co-efficient of expansion than they should according to the laws of mariotte and gay-lussac; whilst hydrogen, on the contrary, is compressed to a less degree than it should be from the law of mariotte,[ ] and with a rise of pressure it expands slightly less than at the atmospheric pressure.[ ] however, hydrogen, like air and many other gases which are permanent at the ordinary temperature, does not pass into a liquid state under a very considerable pressure,[ ] but is compressed into a lesser volume than would follow from mariotte's law.[ ] from this it may be concluded that the absolute boiling point of hydrogen, and of gases resembling it,[ ] lies very much below the ordinary temperature; that is, that the liquefaction of this _gas_ is only possible at low temperatures, and under great pressures.[ ] this conclusion was verified ( ) by the experiments of pictet and cailletet.[ ] they compressed gases at a very low temperature, and then allowed them to expand, either by directly decreasing the pressure or by allowing them to escape into the air, by which means the temperature fell still lower, and then, just as steam when rapidly rarefied[ ] deposits liquid water in the form of a fog, hydrogen in expanding forms a fog, thus indicating its passage into a liquid state. but as yet it has been impossible to preserve this liquid, even for a short time, to determine its properties, notwithstanding the employment of a temperature of - ° and a pressure of atmospheres,[ ] although by these means the gases of the atmosphere may be kept in a liquid state for a long time. this is due to the fact that the absolute boiling point of hydrogen lies lower than that of all other known gases, which also depends on the extreme lightness of hydrogen.[ ] [ ] hydrogen obtained by the action of zinc or iron on sulphuric acid generally smells of hydrogen sulphide (like rotten eggs), which it contains in admixture. as a rule such hydrogen is not so pure as that obtained by the action of an electric current or of sodium on water. the impurity of the hydrogen depends on the impurities contained in the zinc, or iron, and sulphuric acid, and on secondary reactions which take place simultaneously with the main reaction. impure hydrogen may be easily freed from the impurities it contains: some of them--namely, those having acid properties--are absorbed by caustic soda, and therefore may be removed by passing the hydrogen through a solution of this substance; another series of impurities is absorbed by a solution of mercuric chloride; and, lastly, a third series is absorbed by a solution of potassium permanganate. if absolutely _pure hydrogen_ be required, it is sometimes obtained by the decomposition of water (previously boiled to expel all air, and mixed with pure sulphuric acid) by the galvanic current. only the gas evolved at the negative electrode is collected. or else, an apparatus like that which gives detonating gas is used, the positive electrode, however, being immersed under mercury containing zinc in solution. the oxygen which is evolved at this electrode then immediately, at the moment of its evolution, combines with the zinc, and this compound dissolves in the sulphuric acid and forms zinc sulphate, which remains in solution, and therefore the hydrogen generated will be quite free from oxygen. [ ] an inverted beaker is attached to one arm of the beam of a tolerably sensitive balance, and its weight counterpoised by weights in the pan attached to the other arm, if the beaker be then filled with hydrogen it rises, owing to the air being replaced by hydrogen. thus, at the ordinary temperature of a room, a litre of air weighs about · gram, and on replacing the air by hydrogen a decrease in weight of about gram per litre is obtained. moist hydrogen is heavier than dry--for aqueous vapour is nine times heavier than hydrogen. in filling balloons it is usually calculated that (it being impossible to have perfectly dry hydrogen or to obtain it quite free from air) the lifting force due to the difference between the weights of equal volumes of hydrogen and air is equal to kilogram (= , grams) per cubic metre (= , litres). [ ] the density of hydrogen in relation to the air has been repeatedly determined by accurate experiments. the first determination, made by lavoisier, was not very exact; taking the density of air as unity, he obtained · for that of hydrogen--that is, hydrogen as thirteen times lighter than air. more accurate determinations are due to thomsen, who obtained the figure · ; berzelius and dulong, who obtained · ; and dumas and boussingault, who obtained · . regnault, and more recently le duc ( ), took two spheres of considerable capacity, which contained equal volumes of air (thus avoiding the necessity of any correction for weighing them in air). both spheres were attached to the scale pans of a balance. one was sealed up, and the other first weighed empty and then full of hydrogen. thus, knowing the weight of the hydrogen filling the sphere, and the capacity of the sphere, it was easy to find the weight of a litre of hydrogen; and, knowing the weight of a litre of air at the same temperature and pressure, it was easy to calculate the density of hydrogen. regnault, by these experiments, found the average density of hydrogen to be · in relation to air; le duc, · (with a possible error of ± · ), and this latter figure must now be looked upon as near to the truth. in this work i shall always refer the densities of all gases to hydrogen, and not to air; i will therefore give, for the sake of clearness, the weight of a litre of dry pure hydrogen in grams at a temperature _t_° and under a pressure _h_ (measured in millimetres of mercury at °, in lat. °). the weight of a litre of hydrogen = · × (_h_/ ) × /( + · _t_) gram. for aëronauts it is very useful to know, besides this, the weight of the air at different heights, and i therefore insert the adjoining table, constructed on the basis of glaisher's data, for the temperature and moisture of the atmospheric strata in clear weather. all the figures are given in the metrical system-- , millimetres = · inches, , kilograms = · lbs., , cubic metres = , · cubic feet. the starting temperature at the earth's surface is taken as = ° c., its moisture p.c., pressure millimetres. the pressures are taken as indicated by an _aneroid barometer_, assumed to be corrected at the sea level and at lat. ° c. if the height above the level of the sea equal _z_ kilometres, then the weight of cubic metre of air may be approximately taken as · - · _z_ + · _z_^ kilogram. +--------+-----------+--------+--------+--------------------+ |pressure|temperature|moisture| height | weight of the air | | | | |(metres)|( , cubic metres)| |--------+-----------+--------+--------+--------------------+ | mm.| ° c. | p.c.| | kilos. | | " | · ° " | " | | " | | " | · ° " | " | | " | | " | · ° " | " | | " | | " | - · ° " | " | | " | | " | - · ° " | " | | " | | " | - · ° " | " | | " | | " | - · ° " | " | | " | | " | - · ° " | " | | " | | " | - · ° " | " | | " | | " | - · ° " | " | | " | +--------+-----------+--------+--------+--------------------+ although the figures in this table are calculated with every possible care from average data, yet they can only be taken approximately, for in every separate case the conditions, both at the earth's surface and in the atmosphere, will differ from those here taken. in calculating the height to which a balloon can ascend, it is evident that the density of gas in relation to air must be known. this density for ordinary coal gas is from · to · , and for hydrogen with its ordinary contents of moisture and air from · to · . hence, for instance, it may be calculated that a balloon of , cubic metres capacity filled with pure hydrogen, and weighing (the envelope, tackle, people, and ballast) kilograms, will only ascend to a height of about , metres. [ ] if a cracked flask be filled with hydrogen and its neck immersed under water or mercury, then the liquid will rise up into the flask, owing to the hydrogen passing through the cracks about · times quicker than the air is able to pass through these cracks into the flask. the same phenomenon may be better observed if, instead of a flask, a tube be employed, whose end is closed by a porous substance, such as graphite, unglazed earthenware, or a gypsum plate. [ ] according to boyle and mariotte's law, for a given gas at a constant temperature the volume decreases by as many times as the pressure increases; that is, this law requires that the product of the volume _v_ and the pressure _p_ for a given gas should be a constant quantity: _pv_ = _c_, a constant quantity which does not vary with a change of pressure. this equation does very nearly and exactly express the observed relation between the volume and pressure, but only within comparatively small variations of pressure, density, and volume. if these variations be in any degree considerable, the quantity _pv_ proves to be dependent on the pressure, and it either increases or diminishes with an increase of pressure. in the former case the compressibility is less than it should he according to mariotte's law, in the latter case it is greater. we will call the first case a positive discrepancy (because then _d(pv)/d(p)_ is greater than zero), and the second case a negative discrepancy (because then _d(pv)/d(p)_ is less than zero). determinations made by myself (in the seventies), m. l. kirpicheff, and v. a. hemilian showed that all known gases at low pressures--_i.e._ when considerably rarefied--present positive discrepancies. on the other hand, it appears from the researches of cailletet, natterer, and amagat that all gases under great pressures (when the volume obtained is - , times less than under the atmospheric pressure) also present positive discrepancies. thus under a pressure of , atmospheres air is compressed, not , times, but only , and hydrogen , times. hence the positive kind of discrepancy is, so to say, normal to gases. and this is easily intelligible. if a gas followed mariotte's law, or if it were compressed to a greater extent than is shown by this law, then under great pressures it would attain a density greater than that of solid and liquid substances, which is in itself improbable and even impossible by reason of the fact that solid and liquid substances are themselves but little compressible. for instance, a cubic centimetre of oxygen at ° and under the atmospheric pressure weighs about · gram, and at a pressure of , atmospheres (this pressure is attained in guns) it would, if it followed mariotte's law, weigh · grams--that is, would be about four times heavier than water--and at a pressure of , atmospheres it would be heavier than mercury. besides this, positive discrepancies are probable because the molecules of a gas themselves must occupy a certain volume. considering that mariotte's law, strictly speaking, applies only to the intermolecular space, we can understand the necessity of positive discrepancies. if we designate the volume of the molecules of a gas by _b_ (like van der waals, _see_ chap. i., note ), then it must be expected that _p(v-b) = c_. hence _pv = c + bp_, which expresses a positive discrepancy. supposing that for hydrogen _pv_ = , , at a pressure of one metre of mercury, according to the results of regnault's, amagat's, and natterer's experiments, we obtain _b_ as approximately · to · . thus the increase of _pv_ with the increase of pressure must be considered as the normal law of the compressibility of gases. hydrogen presents such a positive compressibility at all pressures, for it presents positive discrepancies from mariotte's law, according to regnault, at all pressures above the atmospheric pressure. hence hydrogen is, so to say, a perfect gas. no other gas behaves so simply with a change of pressure. all other gases at pressures from to atmospheres present negative discrepancies--that is, they are then compressed to a greater degree than should follow from mariotte's law, as was shown by the determinations of regnault, which were verified when repeated by myself and boguzsky. thus, for example, on changing the pressure from to metres of mercury--that is, on increasing the pressure five times--the volume only decreased · times when hydrogen was taken, and · when air was taken. the positive discrepancies from the law at low pressures are of particular interest, and, according to the above-mentioned determinations made by myself, kirpicheff, and hemilian, and verified (by two methods) by k. d. kraevitch and prof. ramsay (london, ), they are proper to all gases (even to those which are easily compressed into a liquid state, such as carbonic and sulphurous anhydrides). these discrepancies approach the case of a very high rarefaction of gases, where a gas is near to a condition of maximum dispersion of its molecules, and perhaps presents a passage towards the substance termed 'luminiferous ether' which fills up interplanetary and interstellar space. if we suppose that gases are rarefiable to a definite limit only, having attained which they (like solids) do not alter in volume with a decrease of pressure, then on the one hand the passage of the atmosphere at its upper limits into a homogeneous ethereal medium becomes comprehensible, and on the other hand it would be expected that gases would, in a state of high rarefaction (_i.e._ when small masses of gases occupy large volumes, or when furthest removed from a liquid state), present positive discrepancies from boyle and mariotte's law. our present acquaintance with this province of highly rarefied gases is very limited (because direct measurements are exceedingly difficult to make, and are hampered by possible errors of experiment, which may be considerable), and its further development promises to elucidate much in respect to natural phenomena. to the three states of matter (solid, liquid, and gaseous) it is evident a fourth must yet be added, the ethereal or ultra-gaseous (as crookes proposed), understanding by this, matter in its highest possible state of rarefaction. [ ] the law of gay-lussac states that all gases in all conditions present one coefficient of expansion · ; that is, when heated from ° to ° they expand like air; namely, a thousand volumes of a gas measured at ° will occupy volumes at °. regnault, about , showed that gay-lussac's law is not entirely correct, and that different gases, and also one and the same gas at different pressures, have not quite the same coefficients of expansion. thus the expansion of air between ° and ° is · under the ordinary pressure of one atmosphere, and at three atmospheres it is · , the expansion of hydrogen is · , and of carbonic anhydride · . regnault, however, did not directly determine the change of volume between ° and °, but measured the variation of tension with the change of temperature; but since gases do not entirely follow mariotte's law, the change of volume cannot be directly judged by the variation of tension. the investigations carried on by myself and kayander, about , showed the variation of volume on heating from ° to ° under a constant pressure. these investigations confirmed regnault's conclusion that gay-lussac's law is not entirely correct, and further showed ( ) that the expansion per volume from ° to ° under a pressure of one atmosphere, for air = · , for hydrogen = · , for carbonic anhydride = · , for hydrogen bromide = · , &c.; ( ) that for gases which are more compressible than should follow from mariotte's law the expansion by heat increases with the pressure--for example, for air at a pressure of three and a half atmospheres, it equals · , for carbonic anhydride at one atmosphere it equals · , at three atmospheres · , and at eight atmospheres · ; ( ) that for gases which are less compressible than should follow from mariotte's law, the expansion by heat decreases with an increase of pressure--for example, for hydrogen at one atmosphere · , at eight atmospheres · , for air at a quarter of an atmosphere · , at one atmosphere · ; and hydrogen like _air_ (and all gases) is less compressed _at low pressures_ than should follow from mariotte's law (_see_ note ). hence, hydrogen, starting from zero to the highest pressures, exhibits a gradually, although only slightly, varying coefficient of expansion, whilst for air and other gases at the atmospheric and higher pressures, the coefficient of expansion increases with the increase of pressure, so long as their compressibility is greater than should follow from mariotte's law. but when at considerable pressures, this kind of discrepancy passes into the normal (_see_ note ), then the coefficient of expansion of all gases decreases with an increase of pressure, as is seen from the researches of amagat. the difference between the two coefficients of expansion, for a constant pressure and for a constant volume, is explained by these relations. thus, for example, for air at a pressure of one atmosphere the true coefficient of expansion (the volume varying at constant pressure) = · (according to mendeléeff and kayander) and the variation of tension (at a constant volume, according to regnault) = · . [ ] permanent gases are those which cannot be liquefied by an increase of pressure alone. with a rise of temperature, all gases and vapours become permanent gases. as we shall afterwards learn, carbonic anhydride becomes a permanent gas at temperatures above °, and at lower temperatures it has a maximum tension, and may be liquefied by pressure alone. _the liquefaction_ of gases, accomplished by faraday (_see_ ammonia, chapter vi.) and others, in the first half of this century, showed that a number of substances are capable, like water, of taking all three physical states, and that there is no essential difference between vapours and gases, the only distinction being that the boiling points (or the temperature at which the tension = mm.) of liquids lie above the ordinary temperature, and those of liquefied gases below, and consequently a gas is a superheated vapour, or vapour heated above the boiling point, or removed from saturation, rarefied, having a lower tension than that maximum which is proper to a given temperature and substance. we will here cite the _maximum tensions_ of certain liquids and gases _at various temperatures_, because they may be taken advantage of for obtaining constant temperatures by changing the pressure at which boiling or the formation of saturated vapours takes place. (i may remark that the dependence between the tension of the saturated vapours of various substances and the temperature is very complex, and usually requires three or four independent constants, which vary with the nature of the substance, and are found from the dependence of the tension _p_ on the temperature _t_ given by experiment; but in k. d. kraevitch showed that this dependence is determined by the properties of a substance, such as its density, specific heat, and latent heat of evaporation.) the temperatures (according to the air thermometer) are placed on the left, and the tension in millimetres of mercury (at °) on the right-hand side of the equations. carbon bisulphide, cs_{ }, ° = · ; ° = · ; ° = · ; ° = · ; ° = · ; ° = · . chlorobenzene, c_{ }h_{ }cl, ° = · ; ° = · ; ° = · ; ° = · ; ° = · ; ° = · ; ° = · . aniline, c_{ }h_{ }n, ° = · ; ° = · ; ° = · ; ° = · ; ° = · . methyl salicylate, c_{ }h_{ }o_{ }, ° = · ; ° = · ; ° = · ; ° = · ; ° = · ; ° = · . mercury, hg, ° = · ; ° = · ; ° = · ; ° = · ; ° = · ; ° = · ; ° = · . sulphur, s, ° = ; ° = ; ° = ; ° = ; ° = . these figures (ramsay and young) show the possibility of obtaining constant temperatures in the vapours of boiling liquids by altering the pressure. we may add the following boiling points under a pressure of mm. (according to the air thermometer by collendar and griffiths, ): aniline, ° = ; naphthalene, ° = ; benzophenone, ° = ; mercury, ° = ; triphenyl-methane, ° = ; sulphur, ° = . and melting points: tin, ° = ; bismuth, ° = ; lead, ° = ; and zinc, ° = . these data may be used for obtaining a constant temperature and for verifying thermometers. the same object may be attained by the melting points of certain salts, determined according to the air thermometer by v. meyer and riddle ( ): nacl, °; nabr, °; nai, °; kcl, °; kbr, °; ki, °; k_{ }co_{ }, °; na_{ }co_{ }, °; na_{ }b_{ }o_{ }, °; na_{ }so_{ }, °; k_{ }so_{ }, °. the tension of liquefied gases is expressed in atmospheres. sulphurous anhydride, so_{ },- ° = · ;- ° = · ;- ° = ; ° = · ; + ° = · ; ° = · ; ° = · . ammonia, nh_{ },- ° = · ;- ° = · ;- ° = · ; - ° = · ; ° = · ; + ° = · ; ° = · . carbonic anhydride, co_{ },- ° = · ; - ° = ;- ° = · ;- ° = · ;- ° = · ;- ° = ;- ° = ; ° = ; + ° = ; ° = . nitrous oxide, n_{ }o,- ° = · ;- ° = ;- ° = · ;- ° = · ; - ° = · ; ° = · ; + ° = · . ethylene, c_{ }h_{ },- ° = · ;- ° = · ; - ° = ;- ° = ;- ° = . air,- ° = ;- ° = ;- ° = . nitrogen, n_{ },- ° = · ;- ° = ;- ° = ;- ° = . the methods of liquefying gases (by pressure and cold) will be described under ammonia, nitrous oxide, sulphurous anhydride, and in later footnotes. we will now turn our attention to the fact that the evaporation of volatile liquids, under various, and especially under low, pressures, gives an easy means for obtaining _low temperatures_. thus liquefied carbonic anhydride, under the ordinary pressure, reduces the temperature to - °, and when it evaporates in a rarefied atmosphere (under an air-pump) to mm. (= · atmosphere) the temperature, judging by the above-cited figures, falls to - ° (dewar). even the evaporation of liquids of common occurrence, under low pressures easily attainable with an air-pump, may produce low temperatures, which may be again taken advantage of for obtaining still lower temperatures. water boiling in a vacuum becomes cold, and under a pressure of less than · mm. it freezes, because its tension at ° is · mm. a sufficiently low temperature may be obtained by forcing fine streams of air through common ether, or liquid carbon bisulphide, cs_{ }, or methyl chloride, ch_{ }cl, and other similar volatile liquids. in the adjoining table are given, for certain gases, ( ) the number of atmospheres necessary for their liquefaction at °, and ( ) the boiling points of the resultant liquids under a pressure of mm. c_{ }h_{ } n_{ }o co_{ }, h_{ }s ( ) ( ) - ° - ° - ° - ° ash_{ }, nh_{ } hcl ch_{ }cl c_{ }n_{ } so_{ } ( ) ( ) - ° - ° - ° - ° - ° - ° [ ] natterer's determinations ( - ), together with amagat's results ( - ), show that the compressibility of hydrogen, under high pressures, may be expressed by the following figures:-- _p_ = _v_ = · · · _pv_ = · · · _s_ = · · where _p_ = the pressure in metres of mercury, _v_ = the volume, if the volume taken under a pressure of metre = , and _s_ the weight of a litre of hydrogen at ° in grams. if hydrogen followed mariotte's law, then under a pressure of , metres, one litre would contain not , but grams. it is evident from the above figures that the weight of a litre of the gas approaches a limit as the pressure increases, which is doubtless the density of the gas when liquefied, and therefore the weight of a litre of liquid hydrogen will probably be near grams (density about · , being less than that of all other liquids). [ ] cagniard de latour, on heating ether in a closed tube to about °, observed that at this temperature the liquid is transformed into vapour occupying the original volume--that is, having the same density as the liquid. the further investigations made by drion and myself showed that every liquid has such an _absolute boiling point_, above which it cannot exist as a liquid and is transformed into a dense gas. in order to grasp the true signification of this absolute boiling temperature, it must be remembered that the liquid state is characterised by a cohesion of its particles which does not exist in vapours and gases. the cohesion of liquids is expressed in their capillary phenomena (the breaks in a column of liquid, drop formation, and rise in capillary tubes, &c.), and the product of the density of a liquid into the height to which it rises in a capillary tube (of a definite diameter) may serve as the measure of the magnitude of cohesion. thus, in a tube of mm. diameter, water at ° rises (the height being corrected for the meniscus) · mm., and ether at _t°_ to a height · - · _t°_ mm. the cohesion of a liquid is lessened by heating, and therefore the capillary heights are also diminished. it has been shown by experiment that this decrement is proportional to the temperature, and hence by the aid of capillary observations we are able to form an idea that at a certain rise of temperature the cohesion may become = . for ether, according to the above formula, this would occur at °. if the cohesion disappear from a liquid it becomes a gas, for cohesion is the only point of difference between these two states. a liquid in evaporating and overcoming the force of cohesion absorbs heat. therefore, the absolute boiling point was defined by me ( ) as that temperature at which (_a_) a liquid cannot exist as a liquid, but forms a gas which cannot pass into a liquid state under any pressure whatever; (_b_) cohesion = ; and (_c_) the latent heat of evaporation = . this definition was but little known until andrews ( ) explained the matter from another aspect. starting from gases, he discovered that carbonic anhydride cannot be liquefied by any degree of compression at temperatures above °, whilst at lower temperatures it can be liquefied. he called this temperature the _critical temperature_. it is evident that it is the same as the absolute boiling point. we shall afterwards designate it by _tc_. at low temperatures a gas which is subjected to a pressure greater than its maximum tension (note ) is transformed into a liquid, which, in evaporating, gives a saturated vapour possessing this maximum tension; whilst at temperatures above tc the pressure to which the gas is subjected may increase indefinitely. however, under these conditions the volume of the gas does not change indefinitely but approaches a definite limit (_see_ note )--that is, it resembles in this respect a liquid or a solid which is altered but little in volume by pressure. the volume which a liquid or gas occupies at _tc_ is termed the _critical volume_, and corresponds with the _critical pressure_, which we will designate by _pc_ and express in atmospheres. it is evident from what has been said that the discrepancies from mariotte and boyle's law, the absolute boiling point, the density in liquid and compressed gaseous states, and the properties of liquids, must all he intimately connected together. we will consider these relations in one of the following notes. at present we will supplement the above observations by the values of _tc_ and _pc_ for certain liquids and gases which have been investigated in this respect-- +---------------------+------++----------------------+------+ | _tc_ | _pc_ || _tc_ | _pc_ | +---------------------+------++----------------------+------+ | n_{ } - ° | || h_{ }s + ° | | | co - ° | || c_{ }n_{ } + ° | | | o_{ } - ° | || nh_{ } + ° | | | ch_{ } - ° | || ch_{ }cl + ° | | | no - ° | || so_{ } + ° | | | c_{ }h_{ } + ° | || c_{ }h_{ } + ° | | | co_{ } + ° | || c_{ }h_{ }o + ° | | | n_{ }o + ° | || chcl_{ } + ° | | | c_{ }h_{ } + ° | || cs_{ } + ° | | | hcl + ° | || c_{ }h_{ } + ° | | | h_{ }o + ° | || c_{ }h_{ }f + ° | | | ch_{ }oh + ° | || c_{ }h_{ }cl + ° | | | c_{ }h_{ }oh + ° | || c_{ }h_{ }br + ° | | | ch_{ }cooh + ° | || c_{ }h_{ }i + ° | | +---------------------+------++----------------------+------+ young and guy ( ) showed that _tc_ and _pc_ clearly depend upon the composition and molecular weight. [ ] i came to this conclusion in (_ann. phys. chem._ , ). [ ] pictet, in his researches, effected the direct liquefaction of many gases which up to that time had not been liquefied. he employed the apparatus used for the manufacture of ice on a large scale, employing the vaporisation of liquid sulphurous anhydride, which may be liquefied by pressure alone. this anhydride is a gas which is transformed into a liquid at the ordinary temperature under a pressure of several atmospheres (_see_ note ), and boils at - ° at the ordinary atmospheric pressure. this liquid, like all others, boils at a lower temperature under a diminished pressure, and by continually pumping out the gas which comes off by means of a powerful air-pump its boiling point falls as low as - °. consequently, if on the one hand we force liquid sulphurous anhydride into a vessel, and on the other hand pump out the gas from the same vessel by powerful air-pumps, then the liquefied gas will boil in the vessel, and cause the temperature in it to fall to - °. if a second vessel is placed inside this vessel, then another gas may be easily liquefied in it at the low temperature produced by the boiling liquid sulphurous anhydride. pictet in this manner easily liquefied carbonic anhydride, co_{ } (at - ° under a pressure of from four to six atmospheres). this gas is more refractory to liquefaction than sulphurous anhydride, but for this reason it gives on evaporating a still lower temperature than can be attained by the evaporation of sulphurous anhydride. a temperature of - ° may be obtained by the evaporation of liquid carbonic anhydride at a pressure of mm., and in an atmosphere rarefied by a powerful pump the temperature falls to - °. by employing such low temperatures, it was possible, with the aid of pressure, to liquefy the majority of the other gases. it is evident that special pumps which are capable of rarefying gases are necessary to reduce the pressure in the chambers in which the sulphurous and carbonic anhydride boil; and that, in order to re-condense the resultant gases into liquids, special force pumps are required for pumping the liquid anhydrides into the refrigerating chamber. thus, in pictet's apparatus (fig. ), the carbonic anhydride was liquefied by the aid of the pumps e f, which compressed the gas (at a pressure of - atmospheres) and forced it into the tube k, vigorously cooled by being surrounded by boiling liquid sulphurous anhydride, which was condensed in the tube c by the pump b, and rarefied by the pump a. the liquefied carbonic anhydride flowed down the tube k into the tube h, in which it was subjected to a low pressure by the pump e, and thus gave a very low temperature of about - °. the pump e carried off the vapour of the carbonic anhydride, and conducted it to the pump f, by which it was again liquefied. the carbonic anhydride thus made an entire circuit--that is, it passed from a rarefied vapour of small tension and low temperature into a compressed and cooled gas, which was transformed into a liquid, which again vaporised and produced a low temperature. [illustration: fig. .--general arrangement of the apparatus employed by pictet for liquefying gases.] inside the wide inclined tube h, where the carbonic acid evaporated, was placed a second and narrow tube m containing hydrogen, which was generated in the vessel l from a mixture of sodium formate and caustic soda (cho_{ }na + naho = na_{ }co_{ } + h_{ }). this mixture gives hydrogen on heating the vessel l. this vessel and the tube m were made of thick copper, and could withstand great pressures. they were, moreover, hermetically connected together and closed up. thus the hydrogen which was evolved had no outlet, accumulated in a limited space, and its pressure increased in proportion to the amount of it evolved. this pressure was recorded on a metallic manometer r attached to the end of the tube m. as the hydrogen in this tube was submitted to a very low temperature and a powerful pressure, all the necessary conditions were present for its liquefaction. when the pressure in the tube h became steady--_i.e._ when the temperature had fallen to - ° and the manometer r indicated a pressure of atmospheres in the tube m--then this pressure did not rise with a further evolution of hydrogen in the vessel l. this served as an indication that the tension of the vapour of the hydrogen had attained a maximum corresponding with - °, and that consequently all the excess of the gas was condensed to a liquid. pictet convinced himself of this by opening the cock n, when the liquid hydrogen rushed out from the orifice. but, on leaving a space where the pressure was equal to atmospheres, and coming into contact with air under the ordinary pressure, the liquid or powerfully compressed hydrogen expanded, began to boil, absorbed still more heat, and became still colder. in doing so a portion of the liquid hydrogen, according to pictet, passed into a solid state, and did not fall in drops into a vessel placed under the outlet n, but as pieces of solid matter, which struck against the sides of the vessel like shot and immediately vaporised. thus, although it was impossible to see and keep the liquefied hydrogen, still it was clear that it passed not only into a liquid, but also into a solid state. pictet in his experiments obtained other gases which had not previously been liquefied, especially oxygen and nitrogen, in a liquid and solid state. pictet supposed that liquid and solid hydrogen has the properties of a metal, like iron. [ ] at the same time ( ) as pictet was working on the liquefaction of gases in switzerland, cailletet, in paris, was occupied on the same subject, and his results, although not so convincing as pictet's, still showed that the majority of gases, previously unliquefied, were capable of passing into a liquid state. cailletet subjected gases to a pressure of several hundred atmospheres in narrow thick-walled glass tubes (fig. ); he then cooled the compressed gas as far as possible by surrounding it with a freezing mixture; a cock was then rapidly opened for the outlet of mercury from the tube containing the gas, which consequently rapidly and vigorously expanded. this rapid expansion of the gas would produce great cold, just as the rapid compression of a gas evolves heat and causes a rise in temperature. this cold was produced at the expense of the gas itself, for in rapidly expanding its particles were not able to absorb heat from the walls of the tube, and in cooling a portion of the expanding gas was transformed into liquid. this was seen from the formation of cloud-like drops like a fog which rendered the gas opaque. thus cailletet proved the possibility of the liquefaction of gases, but he did not isolate the liquids. the method of cailletet allows the passage of gases into liquids being observed with greater facility and simplicity than pictet's method, which requires a very complicated and expensive apparatus. [illustration: fig. .--cailletet's apparatus for liquefying gases.] the methods of pictet and cailletet were afterwards improved by olszewski, wroblewski, dewar, and others. in order to obtain a still lower temperature they employed, instead of carbonic acid gas, liquid ethylene or nitrogen and oxygen, whose evaporation at low pressures produces a much lower temperature (to - °). they also improved on the methods of determining such low temperatures, but the methods were not essentially altered; they obtained nitrogen and oxygen in a liquid, and nitrogen even in a solid, state, but no one has yet succeeded in seeing hydrogen in a liquid form. the most illustrative and instructive results (because they gave the possibility of maintaining a very low temperature and the liquefied gas, even air, for a length of time) were obtained in recent years by prof. dewar in the royal institution of london, which is glorified by the names of davy, faraday, and tyndall. dewar, with the aid of powerful pumps, obtained many kilograms of oxygen and air (the boiling point under the atmospheric pressure =- °) in a liquid state and kept them in this state for a length of time by means of open glass vessels with double walls, having a vacuum between them, which prevented the rapid transference of heat, and so gave the possibility of maintaining very low temperatures inside the vessel for a long period of time. the liquefied oxygen or air can be poured from one vessel into another and used for any investigations. thus in june , prof. dewar showed that at the low temperature produced by liquid oxygen many substances become phosphorescent (become self-luminous; for instance, oxygen on passing into a vacuum) and fluoresce (emit light after being illuminated; for instance, paraffin, glue, &c.) much more powerfully than at the ordinary temperature; also that solids then greatly alter in their mechanical properties, &c. i had the opportunity ( ) at prof. dewar's of seeing many such experiments in which open vessels containing pounds of liquid oxygen were employed, and in following the progress made in researches conducted at low temperatures, it is my firm impression that the study of many phenomena at low temperatures should widen the horizon of natural science as much as the investigation of phenomena made at the highest temperatures attained in the voltaic arc. [ ] the investigations of s. wroblewski in cracow give reason to believe that pictet could not have obtained liquid hydrogen in the interior of his apparatus, and that if he did obtain it, it could only have been at the moment of its outrush due to the fall in temperature following its sudden expansion. pictet calculated that he obtained a temperature of - °, but in reality it hardly fell below - °, judging from the latest data for the vaporisation of carbonic anhydride under low pressure. the difference lies in the method of determining low temperatures. judging from other properties of hydrogen (_see_ note ), one would think that its absolute boiling point lies far below - °, and even - ° (according to the calculation of sarrau, on the basis of its compressibility, at - °). but even at - ° (if the methods of determining such low temperatures be correct) hydrogen does not give a liquid even under a pressure of several hundred atmospheres. however, on expansion a fog is formed and a liquid state attained, but the liquid does not separate. [ ] after the idea of the absolute temperature of ebullition (_tc_, note ) had been worked out (about ), and its connection with the deviations from mariotte's law had become evident, and especially after the liquefaction of permanent gases, general attention was turned to the development of the fundamental conceptions of the gaseous and liquid states of matter. some investigators directed their energies to the further study of vapours (for instance, ramsay and young), gases (amagat), and liquids (zaencheffsky, nadeschdin, and others), especially to liquids near _tc_ and _pc_; others (konovaloff and de heen) endeavoured to discover the relation between liquids under ordinary conditions (removed from _tc_ and _pc_) and gases, whilst a third class of investigators (van der waals, clausius, and others), starting from the generally-accepted principles of the mechanical theory of heat and the kinetic theory of gases, and assuming in gases the existence of those forces which certainly act in liquids, deduced the connection between the properties of one and the other. it would be out of place in an elementary handbook like the present to enunciate the whole mass of conclusions arrived at by this method, but it is well to give an idea of the results of van der waals' considerations, for they explain the gradual uninterrupted passage from a liquid into a gaseous state in the simplest manner, and, although the deduction cannot be considered as complete and decisive (_see_ note ), nevertheless it penetrates so deeply into the essence of the matter that its signification is not only reflected in a great number of physical investigations, but also in the province of chemistry, where instances of the passage of substances from a gaseous to a liquid state are so common, and where the very processes of dissociation, decomposition, and combination must be identified with a change of physical state of the participating substances, which has been elaborated by gibbs, lavenig, and others. for a _given quantity_ (weight, mass) _of a definite substance_, its state is expressed by three variables--volume _v_, pressure (elasticity, tension) _p_, and temperature _t_. although the compressibility--[_i.e._, _d(v)_/_d(p)_]--of liquids is small, still it is clearly expressed, and varies not only with the nature of liquids but also with their pressure and temperature (at _tc_ the compressibility of liquids is very considerable). although gases, according to mariotte's law, with small variations of pressure, are uniformly compressed, nevertheless the dependence of their volume _v_ on _t_ and _p_ is very complex. this also applies to the coefficient of expansion [= _d(v)_/_d(t)_, or _d(p)_/_d(t)_], which also varies with _t_ and _p_, both for gases (_see_ note ), and for liquids (at _tc_ it is very considerable, and often exceeds that of gases, · ). hence, the _equation of condition_ must include three variables, _v_, _p_, and _t_. for a so-called perfect (ideal) gas, or for inconsiderable variations of density, the elementary expression _pv_ = _r_[greek: a]( + [greek: a]_t_), or _pv_ = _r_( + _t_) should be accepted, where _r_ is a constant varying with the mass and nature of a gas, as expressing this dependence, because it includes in itself the laws of gay-lussac and mariotte, for at a constant pressure the volume varies proportionally to + [greek: a]_t_, and when _t_ is constant the product of _tv_ is constant. in its simplest form the equation may be expressed thus: _pv_ = _rt_; where _t_ denotes what is termed the absolute temperature, or the ordinary temperature + --that is, _t_ = _t_ + . starting from the supposition of the existence of an attraction or internal pressure (expressed by _a_) proportional to the square of the density (or inversely proportional to the square of the volume), and of the existence of a real volume or diminished length of path (expressed by _b_) for each gaseous molecule, van der waals gives for gases the following more complex equation of condition:-- (_p_ + _a_/_v_^ )(_v_-_b_) = + · _t_; if at ° under a pressure _p_ = (for example, under the atmospheric pressure), the volume (for instance, a litre) of a gas or vapour he taken as , and therefore _v_ and _b_ be expressed by the same units as _p_ and _a_. the deviations from both the laws of mariotte and gay-lussac are expressed by the above equation. thus, for hydrogen _a_ must be taken as infinitely small, and _b_ = · , judging by the data for , and , metres pressure (note ). for other permanent gases, for which (note ) i showed (about ) from regnault's and natterer's data, a decrement of _pv_, followed by an increment, which was confirmed (about ) by fresh determinations made by amagat, this phenomena may be expressed in definite magnitudes of _a_ and _b_ (although van der waals' formula is not applicable in the case of very small pressures) with sufficient accuracy for contemporary requirements. it is evident that van der waals' formula can also express the difference of the coefficients of expansion of gases with a change of pressure, and according to the methods of determination (note ). besides this, van der waals' formula shows that at temperatures above ( _a_/ _b_- ) only one actual volume (gaseous) is possible, whilst at lower temperatures, by varying the pressure, three different volumes--liquid, gaseous, and partly liquid, partly saturated-vaporous--are possible. it is evident that the above temperature is the absolute boiling point--that is (_tc_) = ( _a_/ _b_- ). it is found under the condition that all three possible volumes (the three roots of van der waals' cubic equation) are then similar and equal (_vc_ = _b_). the pressure in this case (_pc_) = _a_/( _b_^ ). these ratios between the constants _a_ and _b_ and the conditions of _critical state_--_i.e._ (_tc_) and (_pc_)--give the possibility of determining the one magnitude from the other. thus for ether (note ), (_tc_) = °, (_tp_) = , hence _a_ = · , _b_ = · , and (_vc_) = · . that mass of ether which at a pressure of one atmosphere at ° occupies one volume--for instance, a litre--occupies, according to the above-mentioned condition, this critical volume. and as the density of the vapour of ether compared with hydrogen = , and a litre of hydrogen at ° and under the atmospheric pressure weighs · gram, then a litre of ether vapour weighs · grams; therefore, in a critical state (at ° and atmospheres) · grams occupy · litre, or c.c.; therefore gram occupies a volume of about c.c., and the weight of c.c. of ether will then be · . according to the investigations of ramsay and young ( ), the critical volume of ether was approximately such at about the absolute boiling point, but the compressibility of the liquid is so great that the slightest change of pressure or temperature has a considerable effect on the volume. but the investigations of the above savants gave another indirect demonstration of the truth of van der waals' equation. they also found for ether that the isochords, or the lines of equal volumes (if both _t_ and _p_ vary), are generally straight lines. thus the volume of c.c. for gram of ether corresponds with pressures (expressed in metres of mercury) equal to · _t_- · (for example, at ° the pressure = metres, and at ° it = · metres). the rectilinear form of the isochord (when _v_ = _a_ constant quantity) is a direct result of van der waals' formula. when, in , i demonstrated that the specific gravity of liquids decreases in proportion to the rise of temperature [s_{_t_} = s_{_ _}-k_t_ or s_{_t_} = s_{_ _}( -k_t_)], or that the volumes increase in inverse proportion to the binomial -k_t_, that is, v_{_t_} = v_{_ _}( -k_t_)^{- }, where k is the modulus of expansion, which varies with the nature of the liquid, then, in general, not only does a connection arise between gases and liquids with respect to a change of volume, but also it would appear possible, by applying van der waals' formula, to judge, from the phenomena of the expansion of liquids, as to their transition into vapour, and to connect together all the principal properties of liquids, which up to this time had not been considered to be in direct dependence. thus thorpe and rücker found that (_tc_) + = /k, where k is the modulus of expansion in the above-mentioned formula. for example, the expansion of ether is expressed with sufficient accuracy from ° to ° by the equation s_{_t_} = · /( - · _t_), or v_{_t_} = /( - · _t_), where · is the modulus of expansion, and therefore (_tc_) = °, or by direct observation °. for silicon tetrachloride, sicl_{ }, the modulus equals · , from whence (_tc_) = °, and by experiment °. on the other hand, d. p. konovaloff, admitting that the external pressure _p_ in liquids is insignificant when compared with the internal (_a_ in van der waals' formula), and that the work in the expansion of liquids is proportional to their temperature (as in gases), directly deduced, from van der waals' formula, the above-mentioned formula for the expansion of liquids, v_{t} = /( -k_t_), and also the magnitude of the latent heat of evaporation, cohesion, and compressibility under pressure. in this way van der waals' formula embraces the gaseous, critical, and _liquid states_ of substances, and shows the connection between them. on this account, although van der waals' formula cannot be considered as perfectly general and accurate, yet it is not only very much more exact than _pv_ = _rt_, but it is also more comprehensive, because it applies both to gases and liquids. further research will naturally give a closer proximity to truth, and will show the connection between composition and the constants (_a_ and _b_); but a great scientific progress is seen in this form of the equation of state. clausius (in ), taking into consideration the variability of _a_, in van der waals' formula, with the temperature, gave the following equation of condition:-- (_p_ + _a_/(_t_(_v_ + _c_)^ )) (_v_-_b_) = _rt_. sarrau applied this formula to amagat's data for hydrogen, and found _a_ = · , _c_ =- · , _b_ = · , and therefore calculated its absolute boiling point as - °, and (_pc_) = atmospheres. but as similar calculations for oxygen (- °), nitrogen (- °), and marsh gas (- °) gave _tc_ higher than it really is, the absolute boiling point of hydrogen must lie below - °. although a substance which passes with great difficulty into a liquid state by the action of physico-mechanical forces, hydrogen loses its gaseous state (that is, its elasticity, or the physical energy of its molecules, or their rapid progressive motion) with comparative ease under the influence of chemical attraction,[ ] which is not only shown from the fact that hydrogen and oxygen (two permanent gases) form liquid water, but also from many phenomena of the absorption of hydrogen. [ ] this and a number of similar cases clearly show how great are the internal chemical forces compared with physical and mechanical forces. hydrogen is vigorously condensed by certain solids; for example, by charcoal and by spongy platinum. if a piece of freshly ignited charcoal be introduced into a cylinder full of hydrogen standing in a mercury bath, then the charcoal absorbs as much as twice its volume of hydrogen. spongy platinum condenses still more hydrogen. but _palladium_, a grey metal which occurs with platinum, absorbs more hydrogen than any other metal. graham showed that when heated to a red heat and cooled in an atmosphere of hydrogen, palladium retains as much as volumes of hydrogen. when once absorbed it retains the hydrogen at the ordinary temperature, and only parts with it when heated to a red heat.[ ] this capacity of certain dense metals for the absorption of hydrogen explains the property of hydrogen of passing through metallic tubes.[ ] it is termed _occlusion_, and presents a similar phenomenon to solution; it is based on the capacity of metals of forming unstable easily dissociating compounds[ ] with hydrogen, similar to those which salts form with water. [ ] the property of palladium of absorbing hydrogen, and of increasing in volume in so doing, may be easily demonstrated by taking a sheet of palladium varnished on one side, and using it as a cathode. the hydrogen which is evolved by the action of the current is retained by the unvarnished surface, as a consequence of which the sheet curls up. by attaching a pointer (for instance, a quill) to the end of the sheet this bending effect is rendered strikingly evident, and on reversing the current (when oxygen will be evolved and combine with the absorbed hydrogen, forming water) it may be shown that on losing the hydrogen the palladium regains its original form. [ ] deville discovered that iron and platinum become pervious to hydrogen at a red heat. he speaks of this in the following terms:--'the permeability of such homogeneous substances as platinum and iron is quite different from the passage of gases through such non-compact substances as clay and graphite. the permeability of metals depends on their expansion, brought about by heat, and proves that metals and alloys have a certain porosity.' however, graham proved that it is only hydrogen which is capable of passing through the above-named metals in this manner. oxygen, nitrogen, ammonia, and many other gases, only pass through in extremely minute quantities. graham showed that at a red heat about c.c. of hydrogen pass per minute through a surface of one square metre of platinum · mm. thick, but that with other gases the amount transmitted is hardly perceptible. indiarubber has the same capacity for allowing the transference of hydrogen through its substance (_see_ chapter iii.), but at the ordinary temperature one square metre, · mm. thick, transmits only c.c. of hydrogen per minute. in the experiment on the decomposition of water by heat in porous tubes, the clay tube may be exchanged for a platinum one with advantage. graham showed that by placing a platinum tube containing hydrogen under these conditions, and surrounding it by a tube containing air, the transference of the hydrogen may be observed by the decrease of pressure in the platinum tube. in one hour almost all the hydrogen ( p.c.) had passed from the tube, without being replaced by air. it is evident that the occlusion and passage of hydrogen through metals capable of occluding it are not only intimately connected together, but are dependent on the capacity of metals to form compounds of various degrees of stability with hydrogen--like salts with water. [ ] it appeared on further investigation that palladium gives a definite compound, pd_{ }h (_see_ further) with hydrogen; but what was most instructive was the investigation of sodium hydride, na_{ }h, which clearly showed that the origin and properties of such compounds are in entire accordance with the conceptions of dissociation. since hydrogen is a gas which is difficult to condense, it is little soluble in water and other liquids. at ° a hundred volumes of water dissolve · volume of hydrogen, and alcohol · volumes measured at ° and mm. molten iron absorbs hydrogen, but in solidifying, it expels it. the solution of hydrogen by metals is to a certain degree based on its affinity for metals, and must be likened to the solution of metals in mercury and to the formation of alloys. in its chemical properties hydrogen, as we shall see later, has much of a metallic character. pictet (_see_ note ) even affirms that liquid hydrogen has metallic properties. the metallic properties of hydrogen are also evinced in the fact that it is a good conductor of heat, which is not the case with other gases (magnus). at the ordinary temperature hydrogen very feebly and rarely enters into chemical reaction. the capacity of gaseous hydrogen for reaction becomes evident only under a change of circumstances--by compression, heating, or the action of light, or at the moment of its evolution. however, under these circumstances it _combines_ directly with only a very few of the elements. hydrogen combines directly with oxygen, sulphur, carbon, potassium, and certain other elements, but it does not combine directly with either the majority of the metals or with nitrogen, phosphorus, &c. compounds of hydrogen with certain elements on which it does not act directly are, however, known; they are not obtained by a direct method, but by reactions of decomposition, or of double decomposition, of other hydrogen compounds. the property of hydrogen of combining with oxygen at a red heat determines its combustibility. we have already seen that hydrogen easily takes fire, and that it then burns with a pale--that is, non-luminous--flame.[ ] hydrogen does not combine with the oxygen of the atmosphere at the ordinary temperature; but this combination takes place at a red heat,[ ] and is accompanied by the evolution of much heat. the product of this combination is water--that is, a compound of oxygen and hydrogen. this is the _synthesis of water_, and we have already noticed its analysis or decomposition into its component parts. the synthesis of water may be very easily observed if a cold glass bell jar be placed over a burning hydrogen flame, and, better still, if the hydrogen flame be lighted in the tube of a condenser. the water will condense in drops as it is formed on the walls of the condenser and trickle down.[ ] [ ] if it be desired to obtain a perfectly colourless hydrogen flame, it must issue from a platinum nozzle, as the glass end of a gas-conducting tube imparts a yellow tint to the flame, owing to the presence of sodium in the glass. [ ] let us imagine that a stream of hydrogen passes along a tube, and let us mentally divide this stream into several parts, consecutively passing out from the orifice of the tube. the first part is lighted--that is, brought to a state of incandescence, in which state it combines with the oxygen of the atmosphere. a considerable amount of heat is evolved in the combination. the heat evolved then, so to say, ignites the second part of hydrogen coming from the tube, and, therefore, when once ignited, the hydrogen continues to burn, if there be a continual supply of it, and if the atmosphere in which it burns be unlimited and contains oxygen. [ ] the combustibility of hydrogen may be shown by the direct decomposition of water by sodium. if a pellet of sodium be thrown into a vessel containing water, it floats on the water and evolves hydrogen, which may be lighted. the presence of sodium imparts a yellow tint to the flame. if potassium be taken, the hydrogen bursts into flame spontaneously, because sufficient heat is evolved in the reaction to ignite the hydrogen. the flame is coloured violet by the potassium. if sodium be thrown not on to water, but on to an acid, it will evolve more heat, and the hydrogen will then also burst into flame. these experiments must be carried on with caution, as, sometimes towards the end, a mass of sodium oxide (note ) is produced, and flies about; it is therefore best to cover the vessel in which the experiment is carried on. light does not aid the combination of hydrogen and oxygen, so that a mixture of these two gases does not change when exposed to the action of light; but an electric spark acts just like a flame, and this is taken advantage of for inflaming a mixture of oxygen and hydrogen, or detonating gas, inside a vessel, as will be explained in the following chapters. as hydrogen (and oxygen also) is condensed by spongy platinum, by which a rise of temperature ensues, and as platinum acts by contact (introduction), therefore hydrogen also combines with oxygen, under the influence of platinum, as döbereiner showed. if spongy platinum be thrown into a mixture of hydrogen and oxygen, an explosion takes place. if a mixture of the gases be passed over spongy platinum, combination also ensues, and the platinum becomes red-hot.[ ] [ ] this property of spongy platinum is made use of in the so-called hydrogen cigar-lighter. it consists of a glass cylinder or beaker, inside which there is a small lead stand (which is not acted on by sulphuric acid), on which a piece of zinc is laid. this zinc is covered by a bell, which is open at the bottom and furnished with a cock at the top. sulphuric acid is poured into the space between the bell and the sides of the outer glass cylinder, and will thus compress the gas in the bell. if the cock of the cylinder be opened the gas will escape by it, and will be replaced by the acid, which, coming into contact with the zinc, evolves hydrogen, and it will escape through the cock. if the cock be closed, then the hydrogen evolved will increase the pressure of the gas in the bell, and thus again force the acid into the space between the bell and the walls of the outer cylinder. thus the action of the acid on the zinc may be stopped or started at will by opening or shutting the cock, and consequently a stream of hydrogen may be always turned on. now, if a piece of spongy platinum be placed in this stream, the hydrogen will take light, because the spongy platinum becomes hot in condensing the hydrogen and inflames it. the considerable rise in temperature of the platinum depends, among other things, on the fact that the hydrogen condensed in its pores comes into contact with previously absorbed and condensed atmospheric oxygen, with which hydrogen combines with great facility in this form. in this manner the hydrogen cigar-lighter gives a stream of burning hydrogen when the cock is open. in order that it should work regularly it is necessary that the spongy platinum should be quite clean, and it is best enveloped in a thin sheet of platinum foil, which protects it from dust. in any case, after some time it will be necessary to clean the platinum, which may be easily done by boiling it in nitric acid, which does not dissolve the platinum, but clears it of all dirt. this imperfection has given rise to several other forms, in which an electric spark is made to pass before the orifice from which the hydrogen escapes. this is arranged in such a manner that the zinc of a galvanic element is immersed when the cock is turned, or a small coil giving a spark is put into circuit on turning the hydrogen on. although gaseous hydrogen does not act directly[ ] on many substances, yet in a _nascent state_ reaction often takes place. thus, for instance, water on which sodium amalgam is acting contains hydrogen in a nascent state. the hydrogen is here evolved from a liquid, and at the first moment of its formation must be in a condensed state.[ ] in this condition it is capable of reacting on substances on which it does not act in a gaseous state.[ bis] reactions of substitution or displacement of metals by hydrogen at the moment of its formation are particularly numerous.[ ] [ ] under conditions similar to those in which hydrogen combines with oxygen it is also capable of combining with chlorine. a mixture of hydrogen and chlorine explodes on the passage of an electric spark through it, or on contact with an incandescent substance, and also in the presence of spongy platinum; but, besides this, the action of light alone is enough to bring about the combination of hydrogen and chlorine. if a mixture of equal volumes of hydrogen and chlorine be exposed to the action of sunlight, complete combination rapidly ensues, accompanied by a report. hydrogen does not combine directly with carbon, either at the ordinary temperature or by the action of heat and pressure. but if an electric current be passed through carbon electrodes at a short distance from each other (as in the electric light or voltaic arc), so as to form an electric arc in which the particles of carbon are carried from one pole to the other, then, in the intense heat to which the carbon is subjected in this case, it is capable of combining with hydrogen. a gas of peculiar smell called acetylene, c_{ }h_{ }, is thus formed from carbon and hydrogen. [ ] there is another explanation of the facility with which hydrogen reacts in a nascent state. we shall afterwards learn that the molecule of hydrogen contains two atoms, h_{ }, but there are elements the molecules of which only contain one atom--for instance, mercury. therefore, every reaction of gaseous hydrogen must be accompanied by the disruption of that bond which exists between the atoms forming a molecule. at the moment of evolution, however, it is supposed that free atoms exist, and in this condition, according to the hypothesis, act energetically. this hypothesis is not based upon facts, and the idea that hydrogen is condensed at the moment of its evolution is more natural, and is in accordance with the fact (note ) that compressed hydrogen displaces palladium and silver (brunner, beketoff)--that is, acts as at the moment of its liberation. [ bis] there is a very intimate and evident relation between the phenomena which take place in the action of spongy platinum and the phenomena of the action in a nascent state. the combination of hydrogen with aldehyde may be taken as an example. aldehyde is a volatile liquid with an aromatic smell, boiling at °, soluble in water, and absorbing oxygen from the atmosphere, and in this absorption forming acetic acid--the substance which is found in ordinary vinegar. if sodium amalgam be thrown into an aqueous solution of aldehyde, the greater part of the hydrogen evolved combines with the aldehyde, forming alcohol--a substance also soluble in water, which forms the principle of all spirituous liquors, boils at °, and contains the same amount of oxygen and carbon as aldehyde, but more hydrogen. the composition of aldehyde is c_{ }h_{ }o, that of alcohol c_{ }h_{ }o. [ ] when, for instance, an acid and zinc are added to a salt of silver, the silver is reduced; but this may be explained as a reaction of the zinc, and not of the hydrogen at the moment of its formation. there are, however, examples to which this explanation is entirely inapplicable; thus, for instance, hydrogen, at the moment of its liberation easily takes up oxygen from its compounds with nitrogen if they be in solution, and converts the nitrogen into its hydrogen-compound. here the nitrogen and hydrogen, so to speak, meet at the moment of their liberation, and in this state combine together. it is evident from this that the elastic gaseous state of hydrogen fixes the limit of its energy: prevents it from entering into those combinations of which it is capable. in the nascent state we have hydrogen which is not in a gaseous state, and its action is then much more energetic. at the moment of evolution that heat, which would be latent in the gaseous hydrogen, is transmitted to its molecules, and consequently they are in a state of strain, and can hence act on many substances. metals, as we shall afterwards see, are in many cases able to replace each other; they also, and in some cases still more easily, replace and are replaced by hydrogen. we have already seen examples of this in the formation of hydrogen from water, sulphuric acid, &c. in all these cases the metals sodium, iron, or zinc displace the hydrogen which occurs in these compounds. hydrogen may be displaced from many of its compounds by metals in exactly the same manner as it is displaced from water; so, for example, hydrochloric acid, which is formed directly by the combination of hydrogen with chlorine, gives hydrogen by the action of a great many metals, just as sulphuric acid does. potassium and sodium also displace hydrogen from its compounds with nitrogen; it is only from its compounds with carbon that hydrogen is not displaced by metals. hydrogen, in its turn, is able to replace metals; this is accomplished most easily on heating, and with those metals which do not themselves displace hydrogen. if hydrogen be passed over the compounds of many metals with oxygen at a red heat, it takes up the oxygen from the metals and displaces them just as it is itself displaced by metals. if hydrogen be passed over the compound of oxygen with copper at a red heat, then metallic copper and water are obtained--cuo + h_{ } = h_{ }o + cu. this kind of double decomposition is called _reduction_ with respect to the metal, which is thus reduced to a metallic state from its combination with oxygen. but it must be recollected that all metals do not displace hydrogen from its compound with oxygen, and, conversely, hydrogen is not able to displace all metals from their compounds with oxygen; thus it does not displace potassium, calcium, or aluminium from its compounds with oxygen. if the metals be arranged in the following series: k, na, ca, al ... fe, zn, hg ... cu, pb, ag, au, then the first are able to take up oxygen from water--that is, displace hydrogen--whilst the last do not act thus, but are, on the contrary, reduced by hydrogen--that is, have, as is said, a less affinity for oxygen than hydrogen, whilst potassium, sodium, and calcium have more. this is also expressed by the amount of heat evolved in the act of combination with oxygen (_see_ note ), and is shown by the fact that potassium and sodium and other similar metals evolve heat in decomposing water; but copper, silver, and the like do not do this, because in combining with oxygen they evolve less heat than hydrogen does, and therefore it happens that when hydrogen reduces these metals heat is evolved. thus, for example, if grams of oxygen combine with copper, , units of heat are evolved; and when grams of oxygen combine with hydrogen, forming water, , units of heat are evolved; whilst grams of sodium, in combining with grams of oxygen, evolve , units of heat. this example clearly shows that chemical reactions which proceed directly and unaided evolve heat. sodium decomposes water and hydrogen reduces copper, because they are _exothermal_ reactions, or those which evolve heat; copper does not decompose water, because such a reaction would be accompanied by an absorption (or secretion) of heat, or belongs to the class of _endothermal_ reactions in which heat is absorbed; and such reactions do not generally proceed directly, although they may take place with the aid of energy (electrical, thermal, &c.) borrowed from some foreign source.[ ] [ ] several numerical data and reflections bearing on this matter are enumerated in notes , , and . it must be observed that the action of iron or zinc on water is reversible. but the reaction cuo + h_{ } = cu + h_{ }o is not reversible; the difference between the degrees of affinity is very great in this case, and, therefore, so far as is at present known, no hydrogen is liberated even in the presence of a large excess of water. it is to be further remarked, that under the conditions of the dissociation of water, copper is not oxidised by water, because the oxide of copper is reduced by free hydrogen. if a definite amount of a metal and acid be taken and their reaction be carried on in a closed space, then the evolution of hydrogen will cease, when its tension equals that at which compressed hydrogen displaces the metal. the result depends upon the nature of the metal and the strength of the solution of acid. tammann and nernst ( ) found that the metals stand in the following order in respect to this limiting tension of hydrogen:--na, mg, zn, al, cd, fe, ni. [illustration: fig. .--apparatus employed by dumas for determining the composition of water. described in text.] the reduction of metals by hydrogen is taken advantage of for _determining the exact composition of water by weight_. copper oxide is usually chosen for this purpose. it is heated to redness in hydrogen, and the quantity of water thus formed is determined, when the quantity of oxygen which occurs in it is found from the loss of weight of the copper oxide. the copper oxide must be weighed immediately before and after the experiment. the difference shows the weight of the oxygen which entered into the composition of the water formed. in this manner only solids have to be weighed, which is a very great gain in the accuracy of the results obtained.[ ] dulong and berzelius ( ) were the first to determine the composition of water by this method, and they found that water contains · of oxygen and · of hydrogen in parts by weight, or · parts of oxygen per one part of hydrogen. dumas ( ) improved on this method,[ ] and found that water contains · parts of hydrogen per parts of oxygen--that is, · parts of oxygen per part of hydrogen--and therefore it is usually accepted that _water contains eight parts by weight of oxygen to_ one _part by weight of hydrogen_. by whatever method water be obtained, it will always present the same composition. whether it be taken from nature and purified, or whether it be obtained from hydrogen by oxidation, or whether it be separated from any of its compounds, or obtained by some double decomposition--it will in every case contain one part by weight of hydrogen and eight parts of oxygen. this is because water is a definite chemical compound. detonating gas, from which it may be formed, is a simple mixture of oxygen and hydrogen, although a mixture of the same composition as water. all the properties of both constituent gases are preserved in detonating gas. either one or the other gas may be added to it without destroying its homogeneity. the fundamental properties of oxygen and hydrogen are not found in water, and neither of the gases can be directly combined with it. but they may be evolved from it. in the formation of water there is an evolution of heat; for the decomposition of water heat is required. all this is expressed by the words, _water is a definite chemical compound of hydrogen with oxygen_. taking the symbol of hydrogen, h, as expressing a unit quantity by weight of this substance, and expressing parts by weight of oxygen by o, we can formulate all the above statements by the chemical symbol of water, h_{ }o. as only definite chemical compounds are denoted by formulæ, having denoted the formula of a compound substance we express by it the entire series of properties which go to make up our conception of a definite compound, and at the same time the quantitative composition of the substance by weight. further, as we shall afterwards see, formulæ express the volume of the gases contained in a substance. thus the formula of water shows that it contains two volumes of hydrogen and one volume of oxygen. besides which, we shall learn that the formula expresses the density of the vapour of a compound, and on this many properties of substances depend, and, as we shall learn, determine the quantities of the bodies entering into reactions. this vapour density we shall find also determines the quantity of a substance entering into a reaction. thus the letters h_{ }o tell the chemist the entire history of the substance. this is an international language, which endows chemistry with a simplicity, clearness, stability, and trustworthiness founded on the investigation of the laws of nature. [ ] this determination may be carried on in an apparatus like that mentioned in note of chapter i. [ ] we will proceed to describe dumas' method and results. for this determination pure and dry copper oxide is necessary. dumas took a sufficient quantity of copper oxide for the formation of grams of water in each determination. as the oxide of copper was weighed before and after the experiment, and as the amount of oxygen contained in water was determined by the difference between these weights, it was essential that no other substance besides the oxygen forming the water should be evolved from the oxide of copper during its ignition in hydrogen. it was necessary, also, that the hydrogen should be perfectly pure, and free not only from traces of moisture, but from any other impurities which might dissolve in the water or combine with the copper and form some other compound with it. the bulb containing the oxide of copper (fig. ), which was heated to redness, should be quite free from air, as otherwise the oxygen in the air might, in combining with the hydrogen passing through the vessel, form water in addition to that formed by the oxygen of the oxide of copper. the water formed should be entirely absorbed in order to accurately determine its quantity. the hydrogen was evolved in the three-necked bottle. the sulphuric acid, for acting on the zinc, is poured through funnels into the middle neck. the hydrogen evolved in the woulfe's bottle passes through [u] tubes, in which it is purified, to the bulb, where it comes into contact with the copper oxide, forms water, and reduces the oxide to metallic copper; the water formed is condensed in the second bulb, and any passing off is absorbed in the second set of [u] tubes. this is the general arrangement of the apparatus. the bulb with the copper oxide is weighed before and after the experiment. the loss in weight shows the quantity of oxygen which entered into the composition of the water formed, the weight of the latter being shown by the gain in weight of the absorbing apparatus. knowing the amount of oxygen in the water formed, we also know the quantity of hydrogen contained in it, and consequently we determine the composition of water by weight. this is the essence of the determination. we will now turn to certain particulars. in one neck of the three-necked bottle a tube is placed dipping under mercury. this serves as a safety-valve to prevent the pressure inside the apparatus becoming too great from the rapid evolution of hydrogen. if the pressure rose to any considerable extent, the current of gases and vapours would be very rapid, and, as a consequence, the hydrogen would not be perfectly purified, or the water entirely absorbed in the tubes placed for this purpose. in the third neck of the woulfe's bottle is a tube conducting the hydrogen to the purifying apparatus, consisting of eight [u] tubes, destined for the purification and testing of the hydrogen. the hydrogen, evolved by zinc and sulphuric acid, is purified by passing it first through a tube full of pieces of glass moistened with a solution of lead nitrate next through silver sulphate; the lead nitrate retains sulphurette hydrogen, and arseniuretted hydrogen is retained by the tube with silver sulphate. caustic potash in the next [u] tube retains any acid which might come over. the two following tubes are filled with lumps of dry caustic potash in order to absorb any carbonic anhydride and moisture which the hydrogen might contain. the next two tubes, to remove the last traces of moisture, are filled with phosphoric anhydride, mixed with lumps of pumice-stone. they are immersed in a freezing mixture. the small [u] tube contains hygroscopic substances, and is weighed before the experiment: this is in order to know whether the hydrogen passing through still retains any moisture. if it does not, then the weight of this tube will not vary during the whole experiment, but if the hydrogen evolved still retains moisture, the tube will increase in weight. the copper oxide is placed in the bulb, which, previous to the experiment, is dried with the copper oxide for a long period of time. the air is then exhausted from it, in order to weigh the oxide of copper in a vacuum and to avoid the need of a correction for weighing in air. the bulb is made of infusible glass, that it may be able to withstand a lengthy ( hours) exposure to a red heat without changing in form. the weighed bulb is only connected with the purifying apparatus after the hydrogen has passed through for a long time, and after experiment has shown that the hydrogen passing from the purifying apparatus is pure and does not contain any air. on passing from the condensing bulb the gas and vapour enter into an apparatus for absorbing the last traces of moisture. the first [u] tube contains pieces of ignited potash, the second and third tubes phosphoric anhydride or pumice-stone moistened with sulphuric acid. the last of the two is employed for determining whether all the moisture is absorbed, and is therefore weighed separately. the final tube only serves as a safety-tube for the whole apparatus, in order that the external moisture should not penetrate into it. the glass cylinder contains sulphuric acid, through which the excess of hydrogen passes; it enables the rate at which the hydrogen is evolved to be judged, and whether its amount should be decreased or increased. when the apparatus is fitted up it must be seen that all its parts are hermetically tight before commencing the experiment. when the previously weighed parts are connected together and the whole apparatus put into communication, then the bulb containing the copper oxide is heated with a spirit lamp (reduction does not take place without the aid of heat), and the reduction of the copper oxide then takes place, and water is formed. when nearly all the copper oxide is reduced the lamp is removed and the apparatus allowed to cool, the current of hydrogen being kept up all the time. when cool, the drawn-out end of the bulb is fused up, and the hydrogen remaining in it is exhausted, in order that the copper may be again weighed in a vacuum. the absorbing apparatus remains full of hydrogen, and would therefore present a less weight than if it were full of air, as it was before the experiment, and for this reason, having disconnected the copper oxide bulb, a current of dry air is passed through it until the gas passing from the glass cylinder is quite free from hydrogen. the condensing bulb and the two tubes next to it are then weighed, in order to determine the quantity of water formed. dumas repeated this experiment many times. the average result was that water contains · parts of hydrogen per , parts of oxygen. making a correction for the amount of air contained in the sulphuric acid employed for producing the hydrogen, dumas obtained the average figure · , between the extremes · and · . this proves that per part of hydrogen water contains · parts of oxygen, with a possible error of not more than / , or · , in the amount of oxygen per part of hydrogen. erdmann and marchand, in eight determinations, found that per , parts of oxygen water contains an average of , parts of hydrogen, with a difference of from , · to , · ; hence per part of hydrogen there would be · of oxygen, with an error of at least · . keiser ( ), in america by employing palladium hydride, and by introducing various fresh precautions for obtaining accurate results, found the composition of water to be · parts of oxygen per of hydrogen. certain of the latest determinations of the composition of water, as also those made by dumas, always give less than , and on the average · , of oxygen per part of hydrogen. however, not one of these figures is to be entirely depended on, and for ordinary accuracy it may be considered that o = when h = . chapter iii oxygen and the chief aspects of its saline combinations on the earth's surface there is no other element which is so widely distributed as oxygen in its various compounds.[ ] it makes up eight-ninths of the weight of water, which occupies the greater part of the earth's surface. nearly all earthy substances and rocks consist of compounds of oxygen with metals and other elements. thus, the greater part of sand is formed of silica, sio_{ }, which contains p.c. of oxygen; clay contains water, alumina (formed of aluminium and oxygen), and silica. it may be considered that earthy substances and rocks contain up to one-third of their weight of oxygen; animal and vegetable substances are also very rich in oxygen. without counting the water present in them, plants contain up to , and animals up to p.c. by weight of oxygen. thus, oxygen compounds predominate on the earth's surface. besides this, a portion exists in a free state, and is contained in admixture with nitrogen in the atmosphere, forming about one-fourth of its mass, or one-fifth of its volume. [ ] as regards the interior of the earth, it probably contains far less oxygen compounds than the surface, judging by the accumulated evidences of the earth's origin, of meteorites, of the earth's density, &c. (_see_ chapter viii., note , and chapter xxii., note ). being so widely distributed in nature, oxygen plays a very important part in it, for a number of the phenomena which take place before us are mainly dependent on it. _animals breathe_ air in order to obtain only _oxygen_ from it, the oxygen entering into their respiratory organs (the lungs of human beings and animals, the gills of fishes, and the trachæ of insects); they, so to say, drink in air in order to absorb the oxygen. the oxygen of the air (or dissolved in water) passes through the membranes of the respiratory organs into the blood, is retained in it by the blood corpuscles, is transmitted by their means to all parts of the body, aids their transformations, bringing about chemical processes in them, and chiefly extracting carbon from them in the form of carbonic anhydride, the greater part of which passes into the blood, is dissolved by it, and is thrown off by the lungs during the absorption of the oxygen. thus, in the process of respiration carbonic anhydride (and water) is given off, and the oxygen of the air absorbed, by which means the blood is changed from a red venous to a dark-red arterial blood. the cessation of this process causes death, because then all those chemical processes, and the consequent heat and work which the oxygen introduced into the system brought about, cease. for this reason suffocation and death ensue in a vacuum, or in a gas which does not contain free oxygen, _i.e._ which does not support combustion. if an animal be placed in an atmosphere of free oxygen, at first its movements are very active and a general invigoration is remarked, but a reaction soon sets in, and death may ensue. the oxygen of the air when it enters the lungs is diluted with four volumes of nitrogen, which is not absorbed into the system, so that the blood absorbs but a small quantity of oxygen from the air, whilst in an atmosphere of pure oxygen a large quantity of oxygen would be absorbed, and would produce a very rapid change of all parts of the organism, and destroy it. from what has been said, it will be understood that oxygen may be employed in respiration, at any rate for a limited time, when the respiratory organs suffer under certain forms of suffocation and impediment to breathing.[ ] [ ] it is evident that the partial pressure (_see_ chapter i.) acts in respiration. the researches of paul bert showed this with particular clearness. under a pressure of one-fifth of an atmosphere consisting of oxygen only, animals and human beings remain under the ordinary conditions of the partial pressure of oxygen, but organisms cannot support air rarefied to one-fifth, for then the partial pressure of the oxygen falls to one-twenty-fifth of an atmosphere. even under a pressure of one-third of an atmosphere the regular life of human beings is impossible, by reason of the impossibility of respiration (because of the decrease of solubility of oxygen in the blood), owing to the small partial pressure of the oxygen, and not from any mechanical effect of the decrease of pressure. paul bert illustrated all this by many experiments, some of which he conducted on himself. this explains, among other things, the discomfort felt in the ascent of high mountains or in balloons when the height reached exceeds eight kilometres, and at pressures below mm. (chapter ii., note ). it is evident that an artificial atmosphere has to be employed in the ascent to great heights, just as in submarine work. the cure by compressed and rarefied air which is practised in certain illnesses is based partly on the mechanical action of the change of pressure, and partly on the alteration in the partial pressure of the respired oxygen. the combustion of organic substances--that is, substances which make up the composition of plants and animals--proceeds in the same manner as the combustion of many inorganic substances, such as sulphur, phosphorus, iron, &c., from the combination of these substances with oxygen, as was described in the introduction. the decomposition, rotting, and similar transformations of substances, which proceed around us, are also very often dependent on the action of the oxygen of the air, and also reduce it from a free to a combined state. the majority of the compounds of oxygen are, like water, very stable, and do not give up their oxygen under the ordinary conditions of nature. as these processes are taking place everywhere, it might be expected that the amount of free oxygen in the atmosphere should decrease, and this decrease should proceed somewhat rapidly. this is, in fact, observed where combustion or respiration proceeds in a closed space. animals suffocate in a closed space because in consuming the oxygen the air remains unfit for respiration. in the same manner combustion, after a time, ceases in a closed space, which may be proved by a very simple experiment. an ignited substance--for instance, a piece of burning sulphur--has only to be placed in a glass flask, which is then closed with a stout cork to prevent the access of the external air; combustion will proceed for a certain time, so long as the flask contains any free oxygen, but it will cease when the oxygen of the enclosed air has combined with the sulphur. from what has been said, it is evident that regularity of combustion or respiration requires a constant renewal of air--that is, that the burning substance or respiring animal should have access to a fresh supply of oxygen. this is attained in dwellings by having many windows, outlets, and ventilators, and by the current of air produced by fires and stoves. as regards the air over the entire earth's surface its amount of oxygen hardly decreases, because in nature there is a process going on which renews the supply of free oxygen. _plants_, or rather their leaves, during daytime,[ ] under the influence of light, absorb carbonic anhydride co_{ }, and _evolve free oxygen_. thus the loss of oxygen which occurs in consequence of the respiration of animals and of combustion is made good by plants. if a leaf be placed in a bell jar containing water, and carbonic anhydride (because this gas is absorbed and oxygen evolved from it by plants) be passed into the bell, and the whole apparatus placed in sunlight, then oxygen will accumulate in the bell jar. this experiment was first made by priestley at the end of the last century. thus the life of plants on the earth not only serves for the formation of food for animals, but also for keeping up a constant percentage of oxygen in the atmosphere. in the long period of the life of the earth an equilibrium has been attained between the processes absorbing and evolving oxygen, by which a definite quantity of free oxygen is preserved in the entire mass of the atmosphere.[ ] [ ] at night, without the action of light, without the absorption of that energy which is required for the decomposition of carbonic anhydride into free oxygen and carbon (which is retained by the plants) they breathe like animals, absorbing oxygen and evolving carbonic anhydride. this process also goes on side by side with the reverse process in the daytime, but it is then far feebler than that which gives oxygen. [ ] the earth's surface is equal to about million square kilometres, and the mass of the air (at a pressure of mm.) on each kilometre of surface is about - / thousand millions of kilograms, or about - / million tons; therefore the whole weight of the atmosphere is about , million million (= × ^{ }) tons. consequently there are about × ^{ } tons of free oxygen in the earth's atmosphere. the innumerable series of processes which absorb a portion of this oxygen are compensated for by the plant processes. assuming that million tons of vegetable matter, containing p.c. of carbon, formed from carbonic acid, are produced (and the same process proceeds in water) per year on the million square kilometres of dry land (ten tons of roots, leaves, stems, &c., per hectare, or / of a square kilometre), we find that the plant life of the dry land gives about , tons of oxygen, which is an insignificant fraction of the entire mass of the oxygen of the air. oxygen was obtained as an independent gas in by priestley in england and in the same year by scheele in sweden, but its nature and great importance were only perfectly elucidated by lavoisier. free oxygen may be obtained by one or other method from all the substances in which it occurs. thus, for instance, the oxygen of many substances may be transferred into water, from which, as we have already seen, oxygen may be obtained.[ ] we will first consider the methods of extracting oxygen from air as being a substance everywhere distributed. the separation of oxygen from it is, however, hampered by many difficulties. [ ] the extraction of oxygen from water may be effected by two processes: either by the decomposition of water into its constituent parts by the action of a galvanic current (chapter ii.), or by means of the removal of the hydrogen from water. but, as we have seen and already know, hydrogen enters into direct combination with very few substances, and then only under special circumstances; whilst oxygen, as we shall soon learn, combines with nearly all substances. only gaseous chlorine (and, especially, fluorine) is capable of decomposing water, taking up the hydrogen from it, without combining with the oxygen. chlorine is soluble in water, and if an aqueous solution of chlorine, so-called chlorine water, be poured into a flask, and this flask be inverted in a basin containing the same chlorine water, then we shall have an apparatus by means of which oxygen may be extracted from water. at the ordinary temperature, and in the dark, chlorine does not act on water, or only acts very feebly; but under the action of direct sunlight chlorine decomposes water, with the evolution of oxygen. the chlorine then combines with the hydrogen, and gives hydrochloric acid, which dissolves in the water, and therefore free oxygen only will be separated from the liquid, and it will only contain a small quantity of chlorine in admixture, which can be easily removed by passing the gas through a solution of caustic potash. from air, which contains a _mixture_ of oxygen and nitrogen, the nitrogen alone cannot be removed, because it has no inclination to combine directly or readily with any substance; and although it does combine with certain substances (boron, titanium), these substances combine simultaneously with the oxygen of the atmosphere.[ ] however, oxygen may be separated from air by causing it to combine with substances which may be easily decomposed by the action of heat, and, in so doing, give up the oxygen absorbed--that is, by making use of reversible reactions. thus, for instance, the oxygen of the atmosphere may be made to oxidise sulphurous anhydride, so_{ } (by passing directly over ignited spongy platinum), and to form sulphuric anhydride, or sulphur trioxide, so_{ }; and this substance (which is a solid and volatile, and therefore easily separated from the nitrogen and sulphurous anhydride), on further heating, gives oxygen and sulphurous anhydride. caustic soda or lime extracts (absorbs) the sulphurous anhydride from this mixture, whilst the oxygen is not absorbed, and thus it is isolated from the air. on a large scale in works, as we shall afterwards see, sulphurous anhydride is transformed into hydrate of sulphuric trioxide, or sulphuric acid, h_{ }so_{ }; if this is allowed to drop on to red-hot flagstones, water, sulphurous anhydride, and oxygen are obtained. the oxygen is easily isolated from this mixture by passing the gases over lime. the extraction of oxygen from oxide of mercury (priestley, lavoisier), which is obtained from mercury and the oxygen of the atmosphere, is also a reversible reaction by which oxygen may be obtained from the atmosphere. so also, by passing dry air through a red-hot tube containing barium oxide, it is made to combine with the oxygen of the air. in this reaction the so-called barium peroxide, bao_{ }, is formed from the barium oxide, bao, and at a higher temperature the former evolves the absorbed oxygen, and leaves the barium oxide originally taken.[ ] [ ] a difference in the physical properties of both gases cannot be here taken advantage of, because they are very similar in this respect. thus the density of oxygen is times and of nitrogen times greater than the density of hydrogen, and therefore porous vessels cannot be here employed--the difference between the times of their passage through a porous surface would be too insignificant. [illustration: fig. .--graham's apparatus for the decomposition of air by pumping it through india-rubber.] graham, however, succeeded in enriching air in oxygen by passing it through india-rubber. this may be done in the following way:--a common india-rubber cushion, e (fig. ), is taken, and its orifice hermetically connected with an air-pump, or, better still, a mercury aspirator (the sprengel pump is designated by the letters a, c, b). when the aspirator (chapter ii., note ) has pumped out the air, which will be seen by the mercury running out in an almost uninterrupted stream, and from its standing approximately at the barometric height, then it may be clearly observed that gas passes through the india-rubber. this is also seen from the fact that bubbles of gas continually pass along with the mercury. a minus pressure may be constantly maintained in the cushion by pouring mercury into the funnel a, and screwing up the pinchcock c, so that the stream flowing from it is small, and then a portion of the air passing through the india-rubber will be carried along with the mercury. this air may be collected in the cylinder, r. its composition proves to be about volumes of oxygen with volumes of nitrogen, and one volume of carbonic anhydride, whilst ordinary air contains only volumes of oxygen in volumes. a square metre of india-rubber surface (of the usual thickness) passes about c.c. of such air per hour. this experiment clearly shows that india-rubber is permeable to gases. this may, by the way, be observed in common toy balloons filled with coal-gas. they fall after a day or two, not because there are holes in them, but because air penetrates into, and the gas from, their interior, through the surface of the india-rubber of which they are made. the rate of the passage of gases through india-rubber does not, as mitchell and graham showed, depend on their densities, and consequently its permeability is not determined by orifices. it more resembles dialysis--that is, the penetration of liquids through colloid surfaces. equal volumes of gases penetrate through india-rubber in periods of time which are related to each other as follows:--carbonic anhydride, ; hydrogen, ; oxygen, ; marsh gas, ; carbonic oxide, , ; nitrogen, , . hence nitrogen penetrates more slowly than oxygen, and carbonic anhydride more quickly than other gases. · volumes of oxygen and · volumes of carbonic anhydride penetrate in the same time as one volume of nitrogen. by multiplying these ratios by the amounts of these gases in air, we obtain figures which are in almost the same proportion as the volumes of the gases penetrating from air through india-rubber. if the process of dialysis be repeated on the air which has already passed through india-rubber, then a mixture containing p.c. by volume of oxygen is obtained. it may be thought that the cause of this phenomenon is the absorption or occlusion (_see_ chap. ii., note ) of gases by india-rubber and the evolution of the gas dissolved in a vacuum; and, indeed, india-rubber does absorb gases, especially carbonic anhydride. graham called the above method of the decomposition of air _atmolysis_. [ ] the preparation of oxygen by this method, which is due to boussingault, is conducted in a porcelain tube, which is placed in a stove heated by charcoal, so that its ends project beyond the stove. barium oxide (which may be obtained by igniting barium nitrate, previously dried) is placed in the tube, one end of which is connected with a pair of bellows, or a gas-holder, for keeping up a current of air through it. the air is previously passed through a solution of caustic potash, to remove all traces of carbonic anhydride, and it is very carefully dried (for the hydrate bah_{ }o_{ } does not give the peroxide). at a _dark-red heat_ ( - °) the oxide of barium absorbs oxygen from the air, so that the gas leaving the tube consists almost entirely of nitrogen. when the absorption ceases, the air will pass through the tube unchanged, which may be recognised from the fact that it supports combustion. the barium oxide is converted into peroxide under these circumstances, and eleven parts of barium oxide absorb about one part of oxygen by weight. when the absorption ceases, one end of the tube is closed, a cork with a gas-conducting tube is fixed into the other end, and the heat of the stove is increased to a _bright-red heat_ ( °). at this temperature the barium peroxide gives up all that oxygen which it acquired at a dark-red heat--_i.e._ about one part by weight of oxygen is evolved from twelve parts of barium peroxide. after the evolution of the oxygen there remains the barium oxide which was originally taken, so that air may be again passed over it, and thus the preparation of oxygen from one and the same quantity of barium oxide may be repeated many times. oxygen has been produced one hundred times from one mass of oxide by this method; all the necessary precautions being taken, as regards the temperature of the mass and the removal of moisture and carbonic acid from the air. unless these precautions be taken, the mass of oxide soon spoils. as oxygen may become of considerable technical use, from its capacity for giving high temperatures and intense light in the combustion of substances, its preparation directly from air by practical methods forms a problem whose solution many investigators continue to work at up to the present day. the most practical methods are those of tessié du motay and kassner. the first is based on the fact that a mixture of equal weights of manganese peroxide and caustic soda at an incipient red heat (about °) absorbs oxygen from air, with the separation of water, according to the equation mno_{ } + naho + o = na_{ }mno_{ } + h_{ }o. if superheated steam, at a temperature of about °, be then passed through the mixture, the manganese peroxide and caustic soda originally taken are regenerated, and the oxygen held by them is evolved, according to the reverse equation na_{ }mno_{ } + h_{ }o = mno_{ } + naho + o. this mode of preparing oxygen may be repeated for an infinite number of times. the oxygen in combining liberates water, and steam, acting on the resultant substance, evolves oxygen. hence all that is required for the preparation of oxygen by this method is fuel and the alternate cutting off the supply of air and steam. in kassner's process ( ) a mixture of oxide of lead and lime (pbo + cao) is heated to redness in the presence of air, oxygen is then absorbed and calcium plumbate, ca_{ }pbo_{ }, formed. the latter is of a chocolate colour, and on further heating evolves oxygen and gives the original mixture pbo + cao--that is, the phenomenon is essentially the same as in boussingault's process (with bao), but according to le chatelier ( ) the dissociation tension of the oxygen evolved from ca_{ }pbo_{ } is less than with bao_{ } at equal temperatures; for instance, at °, mm. of mercury for the first, and for the latter mm. at °, and mm. at °, while for ca_{ }pbo_{ } this tension is only reached at , °. however, in kassner's process the oxygen is absorbed more rapidly, and the influence of the presence of moisture and co_{ } in the air is not so marked, so that this process, like that of tessié du motay, deserves consideration. oxygen is evolved with particular ease by a whole series of unstable oxygen compounds, of which we shall proceed to take a general survey, remarking that many of these reactions, although not all, belong to the number of reversible reactions;[ ] so that in order to obtain many of these substances (for instance, potassium chlorate) rich in oxygen, recourse must be had to indirect methods (see introduction) with which we shall become acquainted in the course of this book. [ ] even the decomposition of manganese peroxide is reversible, and it may be re-obtained from that suboxide (or its salts), which is formed in the evolution of oxygen (chap. xi., note ). the compounds of chromic acid containing the trioxide cro_{ } in evolving oxygen give chromium oxide, cr_{ }o_{ }, but they re-form the salt of chromic acid when heated to redness in air with an alkali. . _the compounds of oxygen_ with certain metals, and especially with the so-called noble metals--that is, mercury, silver, gold, and platinum--having once been obtained, retain their oxygen at the ordinary temperature, but part with it at a red heat. the compounds are solids, generally amorphous and infusible, and are easily decomposed by heat into the metal and oxygen. we have seen an example of this in speaking of the decomposition of mercury oxide. priestley, in , obtained pure oxygen for the first time by heating mercury oxide by means of a burning-glass, and clearly showed its difference from air. he showed its characteristic property of supporting combustion 'with remarkable vigour,' and named it dephlogisticated air. . the substances called _peroxides_[ ] evolve oxygen at a greater or less heat (and also by the action of many acids). they usually contain metals combined with a large quantity of oxygen. peroxides are the highest oxides of certain metals; those metals which form them generally give several compounds with oxygen. those of the lowest degrees of oxidation, containing the least amount of oxygen, are generally substances which are capable of easily reacting with acids--for instance, with sulphuric acid. such low oxides are called bases. peroxides contain more oxygen than the bases formed by the same metals. for example, lead oxide contains · parts of oxygen in parts, and is basic, but lead peroxide contains · parts of oxygen in parts. _manganese peroxide_ is a similar substance, and is a solid of a dark colour, which occurs in nature. it is employed for technical purposes under the name of black oxide of manganese (in german, 'braunstein,' the pyrolusite of the mineralogist). peroxides are able to evolve oxygen at a more or less elevated temperature. they do not then part with all their oxygen, but with only a portion of it, and are converted into a lower oxide or base. thus, for example, lead peroxide, on heating, gives oxygen and lead oxide. the decomposition of this peroxide proceeds tolerably easily on heating, even in a glass vessel, but manganese peroxide only evolves oxygen at a strong red heat, and therefore oxygen can only be obtained from it in iron, or other metallic, or clay vessels. this was formerly the method for obtaining oxygen. manganese peroxide only parts with one-third of its oxygen (according to the equation mno_{ } = mn_{ }o_{ } + o_{ }), whilst two-thirds remain in the solid substance which forms the residue after heating. metallic peroxides are also capable of evolving oxygen on heating with sulphuric acid. they then evolve just that amount of oxygen which is in excess of that necessary for the formation of the base, the latter reacting on the sulphuric acid forming a compound (salt) with it. thus barium peroxide, when heated with sulphuric acid, forms oxygen and barium oxide, which gives a compound with sulphuric acid termed barium sulphate (bao_{ } + h_{ }so_{ } = baso_{ } + h_{ }o + o).[ bis] this reaction usually proceeds with greater ease than the decomposition of peroxides by heat alone. for the purposes of experiment powdered manganese peroxide is usually taken and mixed with strong sulphuric acid in a flask, and the apparatus set up as shown in fig. . the gas which is evolved is passed through a woulfe's bottle containing a solution of caustic potash, to purify it from carbonic anhydride and chlorine, which accompany the evolution of oxygen from commercial manganese peroxide, and the gas is not collected until a thin smouldering taper placed in front of the escape orifice bursts into flame, which shows that the gas coming off is oxygen. by this method of decomposition of the manganese peroxide by sulphuric acid there is evolved, not, as in heating, one-third, but one-half of the oxygen contained in the peroxide (mno_{ } + h_{ }so_{ } = mnso_{ } + h_{ }o + o)--that is, from grams of peroxide about - / grams, or about - / litres, of oxygen,[ ] whilst by heating only about - / litres are obtained. the chemists of lavoisier's time generally obtained oxygen by heating manganese peroxide. at the present time more convenient methods are known. [illustration: fig. .--preparation of oxygen from manganese peroxide and sulphuric acid. the gas evolved is passed through a woulfe's bottle containing caustic potash.] [ ] we shall afterwards see that it is only substances like barium peroxide (which give hydrogen peroxide) which should be counted as true peroxides, and that mno_{ }, pbo_{ }, &c., should be distinguished from them (they do not give hydrogen peroxide with acids), and therefore it is best to call them dioxides. [ bis] peroxide of barium also gives oxygen at the ordinary temperature in the presence of the solutions of many substances in a higher degree of oxidation. in this respect we may mention that kassner ( ) proposes to obtain oxygen for laboratory purposes by mixing bao_{ } with fek_{ }(cn)_{ } (red prussiate of potash, chapter xxii.): the reaction proceeds with the evolution of oxygen even on the addition of a very small quantity of water. in order to ensure a gradual evolution of gas the author proposes to introduce both substances into the reaction, little by little, instead of all at once, which may be done with the following arrangement (gavaloffsky): finely powdered peroxide of barium is placed in an ordinary flask and sufficient water is added to fill the flask one-third full. the cork closing the flask has three holes; ( ) for the gas-conducting tube; ( ) for a rod to stir the bao_{ }; and ( ) for a glass rod terminating in a perforated glass vessel containing crystals of fek_{ }(cn)_{ }. when it is desired to start the evolution of the oxygen, the vessel is lowered until it is immersed in the liquid in the flask, and the bao_{ } is stirred with the other rod. the reaction proceeds according to the equation, bao_{ } + fek_{ }(cn)_{ } = fek_{ }(cn)_{ } + fek_{ }ba(cn)_{ } + o_{ }. the double salt, feba_{ }(cn)_{ }, crystallises out from the mother liquor. to understand the course of the reaction, it must be remembered bao_{ } is of a higher degree of oxidation, and that it parts with oxygen and gives the base bao which enters into the complex salt fek_{ }ba(cn)_{ } = fe(cn)_{ } + kcn + ba(cn)_{ }, and this latter = bao + hcn-h_{ }o. moreover, fek_{ }(cn)_{ } contains the salt fe_{ }(cn)_{ } which also corresponds to the higher degree of oxidation of iron, fe_{ }o_{ }, whilst after the reaction a salt is obtained which contains fe(cn)_{ }, and corresponds to the lower degree of oxidation, feo, so that (in the presence of water) oxygen is also set free on this side also, _i.e._ the reaction gives lower degrees of oxidation and oxygen. [ ] scheele, in , discovered the method of obtaining oxygen by treating manganese peroxide with sulphuric acid. . a third source to which recourse may be had for obtaining oxygen is represented in _acids_ and _salts_ containing much oxygen, which are capable, by parting with a portion or all of their oxygen, of being converted into other compounds (lower products of oxidation) which are more difficultly decomposed. these acids and salts (like peroxides) evolve oxygen either on heating alone, or only when in the presence of some other substance. sulphuric acid may be taken as an example of an acid which is decomposed by the action of heat alone,[ ] for it breaks up at a red heat into water, sulphurous anhydride, and oxygen, as was mentioned before. priestley, in , and scheele, somewhat later, obtained oxygen by heating nitre to a red heat. the best examples of the formation of oxygen by the heating of salts is given in _potassium chlorate_, or berthollet's salt, so called after the french chemist who discovered it. potassium chlorate is a salt composed of the elements potassium, chlorine, and oxygen, kclo_{ }. it occurs as transparent colourless plates, is soluble in water, especially in hot water, and resembles common table salt in some of its reactions and physical properties; it melts on heating, and in melting begins to decompose, evolving oxygen gas. this decomposition ends in all the oxygen being evolved from the potassium chlorate, potassium chloride being left as a residue, according to the equation kclo_{ } = kcl + o_{ }.[ ] this decomposition proceeds at a temperature which allows of its being conducted in a glass vessel. however, in decomposing, the molten potassium chlorate swells up and boils, and gradually solidifies, so the evolution of the oxygen is not regular, and the glass vessel may crack. in order to overcome this inconvenience, the potassium chlorate is crushed and mixed with a powder of a substance which is infusible, incapable of combining with the oxygen evolved, and is a good conductor of heat. usually it is mixed with manganese peroxide.[ ] the decomposition of the potassium chlorate is then considerably facilitated, and proceeds at a lower temperature (because the entire mass is then better heated, both externally and internally), without swelling up, and this method is therefore more convenient than the decomposition of the salt alone. this method for the preparation of oxygen is very convenient; it is generally employed when a small quantity of oxygen is required. further, potassium chlorate is easily obtained pure, and it evolves much oxygen. grams of the salt give as much as grams, or litres, of oxygen. this method is so simple and easy,[ ] that a course of practical chemistry is often commenced by the preparation of oxygen by this method, and of hydrogen by the aid of zinc and sulphuric acid, since by means of these gases many interesting and striking experiments may be performed.[ ] [ ] all acids rich in oxygen, and especially those whose elements form lower oxides, evolve oxygen either directly at the ordinary temperature (for instance, ferric acid), or on heating (nitric, manganic, chromic, chloric, and others), or if basic lower oxides are formed from them, by heating with sulphuric acid. thus the salts of chromic acid (for example, potassium dichromate, k_{ }cr_{ }o_{ }) give oxygen with sulphuric acid; first potassium sulphate, k_{ }so_{ }, is formed, and then the chromic acid set free gives a sulphuric acid salt of the lower oxide, cr_{ }o_{ }. [ ] this reaction is not reversible, and is exothermal--that is, it does not absorb heat, but, on the contrary, evolves , calories per molecular weight kclo_{ }, equal to parts of salt (according to the determination of thomsen, who burnt hydrogen in a calorimeter either alone or with a definite quantity of potassium chlorate mixed with oxide of iron). it does not proceed at once, but first forms perchlorate, kclo_{ } (_see_ chlorine and potassium). it is to be remarked that potassium chloride melts at °, potassium chlorate at °, and potassium perchlorate at °. (concerning the decomposition of kclo_{ }, _see_ chapter ii., note .) [ ] the peroxide does not evolve oxygen in this case. it may be replaced by many oxides--for instance, by oxide of iron. it is necessary to take the precaution that no combustible substances (such as bits of paper, splinters, sulphur, &c.) fall into the mixture, as they might cause an explosion. [ ] the decomposition of a mixture of fused and well-crushed potassium chlorate with powdered manganese peroxide proceeds at so low a temperature (the salt does not melt) that it may be effected in an ordinary glass flask. the apparatus is arranged in the same manner as in the decomposition of mercury oxide (introduction), or as shown in the last drawing. as the reaction is exothermal, the decomposition of potassium chlorate with the formation of oxygen may probably be accomplished, under certain conditions (for example, under contact action), at very low temperatures. substances mixed with the potassium chlorate probably act partially in this manner. [ ] many other salts evolve oxygen by heat, like potassium chlorate, but they only part with it either at a very high temperature (for instance, common nitre) or else are unsuited for use on account of their cost (potassium manganate), or evolve impure oxygen at a high temperature (zinc sulphate at a red heat gives a mixture of sulphurous anhydride and oxygen), and are not therefore used in practice. a solution of _bleaching powder_, which contains calcium hypochlorite, cacl_{ }o_{ }, evolves oxygen on gently heating when a small quantity of certain oxides is added--for instance, cobalt oxide, which in this case acts by contact (_see_ introduction). when heated by itself, a solution of bleaching powder does not evolve oxygen, but it oxidises the cobalt oxide to a higher degree of oxidation; this higher oxide of cobalt in contact with the bleaching powder decomposes into oxygen and lower oxidation products, and the resultant lower oxide of cobalt with bleaching powder again gives the higher oxide, which again gives up its oxygen, and so on.[ ] the calcium hypochlorite is here decomposed according to the equation cacl_{ }o_{ } = cacl_{ } + o_{ }. in this manner a small quantity of cobalt oxide[ ] is sufficient for the decomposition of an indefinitely large quantity of bleaching powder. [ ] such is, at present, the only possible method of explaining the phenomenon of contact action. in many cases, such as the present one, it is supported by observations based on facts. thus, for instance, it is known, as regards oxygen, that often two substances rich in oxygen retain it so long as they are separate, but directly they come into contact free oxygen is evolved from both of them. thus, an aqueous solution of hydrogen peroxide (containing twice as much oxygen as water) acts in this manner on silver oxide (containing silver and oxygen). this reaction takes place at the ordinary temperature, and the oxygen is evolved from both compounds. to this class of phenomena may be also referred the fact that a mixture of barium peroxide and potassium manganate with water and sulphuric acid evolves oxygen at the ordinary temperature (note bis). it would seem that the essence of phenomena of this kind is entirely and purely a property of contact; the distribution of the atoms is changed by contact, and if the equilibrium be unstable it is destroyed. this is more especially evident in the case of those substances which change exothermally--that is, for those reactions which are accompanied by an evolution of heat. the decomposition cacl_{ }o_{ } = cacl_{ } + o_{ } belongs to this class (like the decomposition of potassium chlorate). [ ] generally a solution of bleaching powder is alkaline (contains free lime), and therefore, a solution of cobalt chloride is added directly to it, by which means the oxide of cobalt required for the reaction is formed. _the properties of oxygen._[ ]--it is a permanent _gas_--that is, it cannot be liquefied by pressure at the ordinary temperature, and further, is only liquefied with difficulty (although more easily than hydrogen) at temperatures below - °, because this is its absolute boiling point. as its critical pressure[ ] is about atmospheres, it can be easily liquefied under pressures greater than atmospheres at temperatures below - °. according to dewar, the density of oxygen in a critical state is · (water = ), but, like all other substances in this state,[ ] it varies considerably in density with a change of pressure and temperature, and therefore many investigators who made their observations under high pressures give a greater density, as much as · . liquefied oxygen is an exceedingly mobile transparent liquid, with a faint blue tint and boiling (tension = atmosphere) about - °. oxygen, like all gases, is transparent, and like the majority of gases, colourless. it has no smell or taste, which is evident from the fact of its being a component of air. the weight of one litre of oxygen gas at ° and mm. pressure is · gram; it is therefore slightly denser than air. its density in respect to air = · and in respect to hydrogen = .[ ] [ ] it must be remarked that in all the reactions above mentioned the formation of oxygen may be prevented by the admixture of substances capable of combining with it--for example, charcoal, many carbon (organic) compounds, sulphur, phosphorus, and various lower oxidation products, &c. these substances absorb the oxygen evolved, combine with it, and a compound containing oxygen is formed. thus, if a mixture of potassium chlorate and charcoal be heated, no oxygen is obtained, but an explosion takes place from the rapid formation of gases resulting from the combination of the oxygen of the potassium chlorate with the charcoal and the evolution of gaseous co_{ }. the oxygen obtained by any of the above-described methods is rarely pure. it generally contains aqueous vapour, carbonic anhydride, and very often small traces of chlorine. the oxygen may be freed from these impurities by passing it through a solution of caustic potash, and by drying it. if the potassium chlorate be dry and pure, it gives almost pure oxygen. however, if the oxygen be required for respiration in cases of sickness, it should be washed by passing it through a solution of caustic alkali and through water. the best way to obtain pure oxygen directly is to take potassium perchlorate (kclo_{ }), which can be well purified and then evolves pure oxygen on heating. [ ] with regard to the absolute boiling point, critical pressure, and the critical state in general, _see_ chapter ii., notes and . [ ] judging from what has been said in note of the last chapter, and also from the results of direct observation, it is evident that all substances in a critical state have a large coefficient of expansion, and are very compressible. [ ] as water consists of volume of oxygen and volumes of hydrogen, and contains parts by weight of oxygen per parts by weight of hydrogen, it therefore follows directly that oxygen is times denser than hydrogen. conversely, the composition of water by weight may be deduced from the densities of hydrogen and oxygen, and the volumetric composition of water. this method of mutual and reciprocal correction strengthens the practical data of the exact sciences, whose conclusions require the greatest possible exactitude and variety of corrections. it must he observed that the specific heat of oxygen at constant pressure is · , consequently it is to the specific heat of hydrogen ( · ) as is to · . hence, the specific heats are inversely proportional to the weights of equal volumes. this signifies that equal volumes of both gases have (nearly) equal specific heats--that is, they require an equal quantity of heat for raising their temperature by °. we shall afterwards consider the specific heat of different substances more fully in chap. xiv. oxygen, like the majority of difficultly-liquefiable gases, is but slightly soluble in water and other liquids. the solubility is given in note , chap. i. from this it is evident that water standing in air must absorb--_i.e._ dissolve--oxygen. this oxygen serves for the respiration of fishes. fishes cannot exist in boiled water, because it does not contain the oxygen necessary for their respiration (_see_ chap. i.) [illustration: fig. .--mode of burning sulphur, phosphorus, sodium, &c., in oxygen.] in its chemical properties oxygen is remarkable from the fact that it very easily--and, in a chemical sense, vigorously--reacts on a number of substances, forming oxygen compounds. however, only a few substances and mixtures of substances (for example, phosphorus, copper with ammonia, decomposing organic matter, aldehyde, pyrogallol with an alkali, &c.) combine directly with oxygen at the ordinary temperature, whilst many substances easily combine with oxygen at a red heat, and often this combination presents a rapid chemical reaction accompanied by the evolution of a large quantity of heat. every reaction which takes place rapidly, if it be accompanied by so great an evolution of heat as to produce incandescence, is termed _combustion_. thus combustion ensues when many metals are plunged into chlorine, or oxide of sodium or barium into carbonic anhydride, or when a spark falls on gunpowder. a great many substances are combustible in oxygen, and, owing to its presence, in air also. in order to start combustion it is generally necessary[ ] that the combustible substance should be brought to a state of incandescence. the continuation of the process does not require the aid of fresh external heat, because sufficient heat[ ] is evolved to raise the temperature of the remaining parts of the combustible substance to the required degree. examples of this are familiar to all from every-day experience. combustion proceeds in oxygen with greater rapidity, and is accompanied by a more powerful incandescence, than in ordinary air. this may be demonstrated by a number of very convincing experiments. if a piece of charcoal, attached to a wire and previously brought to red-heat, be plunged into a flask full of oxygen, it burns rapidly at a white heat--_i.e._ it combines with the oxygen, forming a gaseous product of combustion called carbonic anhydride, or carbonic acid gas, co_{ }. this is the same gas that is evolved in the act of respiration, for charcoal is one of the substances which is obtained by the decomposition of all organic substances which contain it, and in the process of respiration part of the constituents of the body, so to speak, slowly burn. if a piece of burning sulphur be placed in a small cup attached to a wire and introduced into a flask full of oxygen, then the sulphur, which burns in air with a very feeble flame, burns in the oxygen with a violet flame, which, although pale, is much larger than in air. if the sulphur be exchanged for a piece of phosphorus,[ ] then, unless the phosphorus be heated, it combines very slowly with the oxygen; but, if heated, although on only one spot, it burns with an exceedingly brilliant white flame. in order to heat the phosphorus inside the flask, the simplest way is to bring a red-hot wire into contact with it. before the charcoal can burn, it must be brought to a state of incandescence. sulphur also will not burn under °, whilst phosphorus inflames at °. phosphorus which has been already lighted in air cannot so well be introduced into the flask, because it burns very rapidly and with a large flame in air. if a small lump of metallic _sodium_ be put in a small cup made of lime,[ ] melted, and ignited,[ ] it burns very feebly in air. but if burning sodium be introduced into oxygen, the combustion is invigorated and is accompanied by a brighter yellow flame. metallic _magnesium_, which burns brightly in air, continues to burn with still greater vigour in oxygen, forming a white powder, which is a compound of magnesium with oxygen (magnesium oxide; magnesia). a strip of _iron_ or steel does not burn in air, but an iron wire or steel spring may be easily burnt in oxygen.[ ] the combustion of steel or iron in oxygen is not accompanied by a flame, but sparks of oxide fly in all directions from the burning portions of the iron.[ ] [ ] certain substances (with which we shall afterwards become acquainted), however, ignite spontaneously in air; for example, impure phosphuretted hydrogen, silicon hydride, zinc ethyl, and pyrophorus (very finely divided iron, &c.) [ ] if so little heat is evolved that the adjacent parts are not heated to the temperature of combustion, then combustion will cease. [ ] the phosphorus must be dry; it is usually kept in water, as it oxidises in air. it should be cut under water, as otherwise the freshly-cut surface oxidises. it must be dried carefully and quickly by wrapping it in blotting-paper. if damp, it splutters on burning. a small piece should be taken, as otherwise the iron spoon will melt. in this and the other experiments on combustion, water should be poured over the bottom of the vessel containing the oxygen, to prevent it from cracking. the cork closing the vessel should not fit tightly, in order to allow for the expansion of the gas due to the heat of the combustion. [ ] an iron cup will melt with sodium in oxygen. [ ] in order to rapidly heat the lime crucible containing the sodium, it is heated in the flame of a blowpipe described in chap. viii. [ ] in order to burn a watch spring, a piece of tinder (or paper soaked in a solution of nitre, and dried) is attached to one end. the tinder is lighted, and the spring is then plunged into the oxygen. the burning tinder heats the end of the spring, the heated part burns, and in so doing heats the further portions of the spring, which then burns completely if sufficient oxygen be present. [ ] the sparks of rust are produced, owing to the fact that the volume of the oxide of iron is nearly twice that of the volume of the iron, and as the heat evolved is not sufficient to entirely melt the oxide or the iron, the particles must be torn off and fly about. similar sparks are formed in the combustion of iron, in other cases also. we saw the combustion of iron filings in the introduction. in the welding of iron small iron splinters fly off in all directions and burn in the air, as is seen from the fact that whilst flying through the air they remain red hot, and also because, on cooling, they are seen to be no longer iron, but a compound of it with oxygen. the same thing takes place when the hammer of a gun strikes against the flint. small scales of steel are heated by the friction, and glow and burn in the air. the combustion of iron is still better seen by taking it as a very fine powder, such as is obtained by the decomposition of certain of its compounds--for instance, by heating prussian blue, or by the reduction of its compounds with oxygen by hydrogen; when this fine powder is strewn in air, it burns by itself, even without being previously heated (it forms a pyrophorus). this obviously depends on the fact that the powder of iron presents a larger surface of contact with air than an equal weight in a compact form. [illustration: fig. .--mode of burning a steel spring in oxygen.] in order to demonstrate by experiment the _combustion of hydrogen_ in oxygen, a gas-conducting tube, bent so as to form a convenient jet, is led from the vessel evolving hydrogen. the hydrogen is first set light to in air, and then the gas-conducting tube is let down into a flask containing oxygen. the combustion in oxygen will be similar to that in air; the flame remains pale, notwithstanding the fact that its temperature rises considerably. it is instructive to remark that oxygen may burn in hydrogen, just as hydrogen in oxygen. in order to show the combustion of oxygen in hydrogen, a tube bent vertically upwards and ending in a fine orifice is attached to the stopcock of a gas-holder full of oxygen. two wires, placed at such a distance from each other as to allow the passage of a constant series of sparks from a ruhmkorff's coil, are fixed in front of the orifice of the tube. this is in order to ignite the oxygen, which may also be done by attaching tinder round the orifice, and burning it. when the wires are arranged at the orifice of the tube, and a series of sparks passes between them, then an inverted (because of the lightness of the hydrogen) jar full of hydrogen is placed over the gas-conducting tube. when the jar covers the orifice of the gas-conducting tube (and not before, as otherwise an explosion might take place) the cock of the gasometer is opened, and the oxygen flows into the hydrogen and is set light to by the sparks. the flame obtained is similar to that formed by the combustion of hydrogen in oxygen.[ ] from this it is evident that the flame is the locality where the oxygen combines with the hydrogen, therefore a flame of burning oxygen can be obtained as well as a flame of burning hydrogen. [ ] the experiment may be conducted without the wires, if the hydrogen be lighted in the orifice of an inverted cylinder, and at the same time the cylinder be brought over the end of a gas-conducting tube connected with a gas-holder containing oxygen. thomsen's method may be adopted for a lecture experiment. two glass tubes, with platinum ends, are passed through orifices, about - - / centimetre apart, in a cork. one tube is connected with a gas-holder containing oxygen, and the other with a gas-holder full of hydrogen. having turned on the gases, the hydrogen is lighted, and a common lamp glass, tapering towards the top, is placed over the cork. the hydrogen continues to burn inside the lamp glass, at the expense of the oxygen. if the current of oxygen be then decreased little by little, a point is reached when, owing to the insufficient supply of oxygen, the flame of the hydrogen increases in size, disappears for several moments, and then reappears at the tube supplying the oxygen. if the flow of oxygen be again increased, the flame reappears at the hydrogen tube. thus the flame may be made to appear at one or the other tube at will, only the increase or decrease of the current of gas must take place by degrees and not suddenly. further, air may be taken instead of oxygen, and ordinary coal-gas instead of hydrogen, and it will then be shown how air burns in an atmosphere of coal-gas, and it can easily be proved that the lamp glass is full of a gas combustible in air, because it may be lighted at the top. if, instead of hydrogen, any other combustible gas be taken--for example, ordinary coal gas--then the phenomenon of combustion will be exactly the same, only a bright flame will be obtained, and the products of combustion will be different. however, as coal gas contains a considerable amount of free and combined hydrogen, it will also form a considerable quantity of water in its combustion. if hydrogen be mixed with oxygen in the proportion in which they form water--_i.e._ if two volumes of hydrogen be taken for each volume of oxygen--then the mixture will be the same as that obtained by the decomposition of water by a galvanic current--detonating gas. [illustration: fig. .--cavendish's apparatus for exploding detonating gas. the bell jar standing in the bath is filled with a mixture of two volumes of hydrogen and one volume of oxygen, and the thick glass vessel a is then screwed on to it. the air is first pumped out of this vessel, so that when the stopcock c is opened, it becomes filled with detonating gas. the stopcock is then re-closed, and the explosion produced by means of a spark from a leyden jar. after the explosion has taken place the stopcock is again opened, and the water rises into the vessel a.] we have already mentioned in the last chapter that the combination of these gases, or their explosion, may be brought about by the action of an electric spark, because the spark heats the space through which it passes, and acts consequently in a manner similar to ignition by means of contact with an incandescent or burning substance.[ bis] cavendish made this experiment on the ignition of detonating gas, at the end of the last century, in the apparatus shown in fig. . ignition by the aid of the electric spark is convenient, for the reason that it may then be brought about in a closed vessel, and hence chemists still employ this method when it is required to ignite a mixture of oxygen with a combustible gas in a closed vessel. for this purpose, especially since bunsen's time,[ ] an _eudiometer_ is employed. it consists of a thick glass tube graduated along its length in millimetres (for indicating the height of the mercury column), and calibrated for a definite volume (weight of mercury). two platinum wires are fused into the upper closed end of the tube, as shown in fig. .[ ] by the aid of the eudiometer we may not only determine the volumetric composition of water,[ ] and the quantitative contents of oxygen in air,[ ] but also make a number of experiments explaining the phenomenon of combustion. [illustration: fig. .--eudiometer] [ bis] in fact, instead of a spark a fine wire may be taken, and an electric current passed through it to bring it to a state of incandescence; in this case there will be no sparks, but the gases will inflame if the wire be fine enough to become red hot by the passage of the current. [ ] now, a great many other different forms of apparatus, sometimes designed for special purposes, are employed in the laboratory for the investigation of gases. detailed descriptions of the methods of gas analysis, and of the apparatus employed, must be looked for in works on analytical and applied chemistry. [ ] they must be sealed into the tube in such a manner as to leave no aperture between them and the glass. in order to test this, the eudiometer is filled with mercury, and its open end inverted into mercury. if there be the smallest orifice at the wires, the external air will enter into the cylinder and the mercury will fall, although not rapidly if the orifice be very fine. [ ] the eudiometer is used for determining the composition of combustible gases. a detailed account of _gas analysis_ would be out of place in this work (_see_ note ), but, as an example, we will give a short description of the determination of the composition of water by the eudiometer. pure and dry oxygen is first introduced into the eudiometer. when the eudiometer and the gas in it acquire the temperature of the surrounding atmosphere--which is recognised by the fact of the meniscus of the mercury not altering its position during a long period of time--then the heights at which the mercury stands in the eudiometer and in the bath are observed. the difference (in millimetres) gives the height of the column of mercury in the eudiometer. it must be reduced to the height at which the mercury would stand at ° and deducted from the atmospheric pressure, in order to find the pressure under which the oxygen is measured (_see_ chap. i. note ). the height of the mercury also shows the volume of the oxygen. the temperature of the surrounding atmosphere and the height of the barometric column must also be observed, in order to know the temperature of the oxygen and the atmospheric pressure. when the volume of the oxygen has been measured, pure and dry hydrogen is introduced into the eudiometer, and the volume of the gases in the eudiometer again measured. they are then exploded. this is done by a leyden jar, whose outer coating is connected by a chain with one wire, so that a spark passes when the other wire, fused into the eudiometer, is touched by the terminal of the jar. or else an electrophorus is used, or, better still, a ruhmkorff's coil, which has the advantage of working equally well in damp or dry air, whilst a leyden jar or electrical machine does not act in damp weather. further, it is necessary to close the lower orifice of the eudiometer before the explosion (for this purpose the eudiometer, which is fixed in a stand, is firmly pressed down from above on to a piece of india-rubber placed at the bottom of the bath), as otherwise the mercury and gas would be thrown out of the apparatus by the explosion. it must also be remarked that to ensure complete combustion the proportion between the volumes of oxygen and hydrogen must not exceed twelve of hydrogen to one volume of oxygen, or fifteen volumes of oxygen to one volume of hydrogen, because no explosion will take place if one of the gases be in great excess. it is best to take a mixture of one volume of hydrogen with several volumes of oxygen. the combustion will then be complete. it is evident that water is formed, and that the volume (or tension) is diminished, so that on opening the end of the eudiometer the mercury will rise in it. but the tension of the aqueous vapour is now added to the tension of the gas remaining after the explosion. this must be taken into account (chap. i. note ). if but little gas remain, the water which is formed will be sufficient for its saturation with aqueous vapour. this may be learnt from the fact that drops of water are visible on the sides of the eudiometer after the mercury has risen in it. if there be none, a certain quantity of water must be introduced into the eudiometer. then the number of millimetres expressing the pressure of the vapour corresponding with the temperature of the experiment must be subtracted from the atmospheric pressure at which the remaining gas is measured, otherwise the result will be inaccurate (chap. i. note ). this is essentially the method of the determination of the composition of water which was made for the first time by gay-lussac and humboldt with sufficient accuracy. their determinations led them to the conclusion that water consists of two volumes of hydrogen (more exactly · , le duc ), and one volume of oxygen. every time they took a greater quantity of oxygen, the gas remaining after the explosion was oxygen. when they took an excess of hydrogen, the remaining gas was hydrogen; and when the oxygen and hydrogen were taken in exactly the above proportion, neither one nor the other remained. the composition of water was thus definitely confirmed. [ ] concerning this application of the eudiometer, see the chapter on nitrogen. it may be mentioned as illustrating the various uses of the eudiometer that prof. timeraseeff employed microscopically small eudiometers to analyse the bubbles of gas given off from the leaves of plants. thus, for example, it may be demonstrated, by the aid of the eudiometer, that for the ignition of detonating gas, a _definite temperature_ is required. if the temperature be below that required, combination will not take place, but if at any spot within the tube it rises to the temperature of inflammation, then combination will ensue at that spot, and evolve enough heat for the ignition of the adjacent portions of the detonating mixture. if to volume of detonating gas there be added volumes of oxygen, or volumes of hydrogen, or volumes of carbonic anhydride, then we shall not obtain an explosion by passing a spark through the diluted mixture. this depends on the fact that the temperature falls with the dilution of the detonating gas by another gas, because the heat evolved by the combination of the small quantity of hydrogen and oxygen brought to incandescence by the spark is not only transmitted to the water proceeding from the combination, but also to the foreign substance mixed with the detonating gas.[ ] the necessity of a definite temperature for the ignition of detonating gas is also seen from the fact that pure detonating gas explodes in the presence of a red-hot iron wire, or of charcoal heated to °, but with a lower degree of incandescence there is not any explosion. it may also be brought about by rapid compression, when, as is known, heat is evolved.[ ] experiments made in the eudiometer showed that the ignition of detonating gas takes place at a temperature between ° and °.[ ] [ ] thus / volume of carbonic oxide, an equal volume of marsh gas, two volumes of hydrogen chloride or of ammonia, and six volumes of nitrogen or twelve volumes of air added to one volume of detonating gas, prevent its explosion. [ ] if the compression be brought about slowly, so that the heat evolved succeeds in passing to the surrounding space, then the combination of the oxygen and hydrogen does not take place, even when the mixture is compressed by times; for the gases are not heated. if paper soaked with a solution of platinum (in aqua regia) and sal ammoniac be burnt, then the ash obtained contains very finely-divided platinum, and in this form it is best fitted for igniting hydrogen and detonating gas. platinum wire requires to be heated, but platinum in so finely divided a state as it occurs in this ash inflames hydrogen, even at - °. many other metals, such as palladium ( °), iridium, and gold, act with a slight rise of temperature, like platinum; but mercury, at its boiling point, does not inflame detonating gas, although the slow formation of water then begins at °. all data of this kind show that the explosion of detonating gas presents one of the many cases of contact phenomena. this conclusion is further confirmed by the researches of v. meyer ( ). he showed that only a very slow formation of steam begins at °, and that it only proceeds more rapidly at °. the temperature of the explosion of detonating gas, according to the same author, varies according as to whether the explosion is produced in open vessels or in closed tubes. in the first case the temperature of explosion lies between °- °, and in the second between °- °. in general it may be remarked that the temperature of explosion of gaseous mixtures is always lower in closed vessels than when the detonating mixture flows freely through tubes. according to freyer and v. meyer, the following gases when mixed with the requisite amount of oxygen explode at the following temperatures: +----------------+---------------------+-------------------+ | -- | when flowing freely | in closed vessels | +----------------+---------------------+-------------------+ | h_{ } | °- ° | °- ° | | ch_{ } | °- ° | °- ° | | c_{ }h_{ } | °- ° | °- ° | | c_{ }h_{ } | °- ° | °- ° | | co | °- ° | °- ° | | h_{ }s | °- ° | °- ° | | h_{ } + cl_{ } | °- ° | °- ° | +----------------+---------------------+-------------------+ the velocity of the transmission of explosion in gaseous mixtures is as characteristic a quantity for gaseous systems as the velocity of the transmission of sound. berthelot showed that this velocity depends neither upon the pressure nor upon the size of the tubes in which the gaseous mixture is contained, nor upon the material out of which the tube is made. dixon ( ) determined the magnitude of these velocities for various mixtures, and his results proved very near to those previously given by berthelot. for comparison we give the velocities expressed in metres per second: +-----------------+-------+-----------+ | -- | dixon | berthelot | +-----------------+-------+-----------+ | h_{ } + o | , | , | | h_{ } + n_{ }o | , | , | | ch_{ } + o | , | , | | c_{ }h_{ } + o | , | , | | c_{ }h_{ } + o | , | , | | c_{ }n_{ } + o | , | , | +-----------------+-------+-----------+ the addition of oxygen to detonating gas lowers the velocity of the transmission of explosion almost as much as the introduction of nitrogen. an excess of hydrogen on the contrary raises the velocity of transmission. it is remarked that the explosion of mixtures of oxygen with marsh gas, ethylene and cyanogen is transmitted more quickly if the oxygen be taken in such a proportion that the carbon should burn to oxide of carbon, _i.e._ the velocity of the explosion is less if the oxygen be taken in sufficient quantity to form carbonic anhydride. observations upon liquid and solid explosives (berthelot) show that in this case the velocity of transmission of explosion is dependent upon the material of the tube. thus the explosion of liquid nitro-methyl ether in glass tubes travels at the rate (in dependence upon the diam., from mm.- mm.) of from , to , metres, and in tubes of britannia metal ( mm. in diam) at the rate of , metres. the harder the tube the greater the velocity of transmission of explosion. the following are the velocities for certain bodies: metres nitro-glycerine , dynamite , nitro-mannite , picric acid , in conclusion we may add that mallard and le chatelier ( ) observed that in the explosion of a mixture of volume of detonating gas with _n_ volumes of an inert gas, the pressure is approximately equal to · - · _n_ atmospheres. [ ] from the very commencement of the promulgation of the idea of dissociation, it might have been imagined that reversible reactions of combination (the formation of h_{ } and o belongs to this number) commence at the same temperature as that at which dissociation begins. and in many cases this is so, but not always, as may be seen from the facts ( ) that at - °, when detonating gas explodes, the density of aqueous vapour not only does not vary (and it hardly varies at higher temperatures, probably because the amount of the products of dissociation is small), but there are not, as far as is yet known, any traces of dissociation; ( ) that under the influence of contact the temperature at which combination takes place falls even to the ordinary temperature, when water and similar compounds naturally are not dissociated and, judging from the data communicated by d. p. konovaloff (introduction, note ) and others, it is impossible to escape the phenomena of contact; all vessels, whether of metal or glass, show the same influence as spongy platinum, although to a much less degree. the phenomena of contact, judging from a review of the data referring to it, must be especially sensitive in reactions which are powerfully exothermal, and the explosion of detonating gas is of this kind. the combination of hydrogen with oxygen is accompanied by the evolution of a very considerable amount of heat; according to the determinations of _favre_ and _silbermann_,[ ] part by weight of hydrogen in forming water evolves , units of heat. many of the most recent determinations are very close to this figure, so that it may be taken that in the formation of parts of water (h_{ }o) there are evolved major calories, or , units of heat.[ ] _if the specific heat of aqueous vapour_ ( · ) _remained constant from the ordinary temperature to that at which the combustion of detonating gas takes place_ (but there is now no doubt that it increases), were the combustion concentrated at one point[ ] (but it occurs in the whole region of a flame), were there no loss from radiation and heat conduction, and _did dissociation not take place_--that is, did not a state of equilibrium between the hydrogen, oxygen, and water come about--_then it would be possible to calculate the temperature of the flame of detonating gas_. it would then be , °.[ ] in reality it is very much lower, but it is nevertheless higher than the temperature attained in furnaces and flames, and is as high as , °. the explosion of detonating gas is explained by this high temperature, because the aqueous vapour formed must occupy a volume at least times greater than that occupied by the detonating gas at the ordinary temperature. detonating gas emits a sound, not only as a consequence of the commotion which occurs from the rapid expansion of the heated vapour, but also because it is immediately followed by a cooling effect, the conversion of the vapour into water, and a rapid contraction.[ ] [ ] [illustration: fig. .--favre and silbermann's calorimeter for determining the heat evolved in combustion.] the amount of heat evolved in the combustion of a known weight (for instance, gram) of a given substance is determined by the rise in temperature of water, to which the whole of the heat evolved in the combustion is transmitted. a _calorimeter_, for example that shown in fig. , is employed for this purpose. it consists of a thin (in order that it may absorb less heat), polished (that it should transmit a minimum of heat) metallic vessel, surrounded by down (_c_), or some other bad conductor of heat, and an outer metallic vessel. this is necessary in order that the least possible amount of heat should be lost from the vessels; nevertheless, there is always a certain loss, whose magnitude is determined by preliminary experiment (by taking warm water, and determining its fall in temperature after a definite period of time) as a correction for the results of observations. the water to which the heat of the burning substance is transmitted is poured into the vessel. the stirrer _g_ allows of all the layers of water being brought to the same temperature, and the thermometer serves for the determination of the temperature of the water. the heat evolved passes, naturally, not to the water only, but to all the parts of the apparatus. the quantity of water corresponding to the whole amount of those objects (the vessels, tubes, &c.) to which the heat is transmitted is previously determined, and in this manner another most important correction is made in the calorimetric determinations. the combustion itself is carried on in the vessel _a_. the ignited substance is introduced through the tube at the top, which closes tightly. in fig. the apparatus is arranged for the combustion of a gas, introduced by a tube. the oxygen required for the combustion is led into _a_ by the tube _e_, and the products of combustion either remain in the vessel _a_ (if liquid or solid), or escape by the tube _f_ into an apparatus in which their quantity and properties can easily be determined. thus the heat evolved in combustion passes to the walls of the vessel _a_, and to the gases which are formed in it, and these transmit it to the water of the calorimeter. [ ] this quantity of heat corresponds with the formation of liquid water at the ordinary temperature from detonating gas at the same temperature. if the water be as vapour the heat evolved = major calories; if as ice = · major calories. a portion of this heat is due to the fact that vols. of hydrogen and vol. of oxygen give vols. of aqueous vapour--that is to say, contraction ensues--and this evolves heat. this quantity of heat may be calculated, but it cannot be said how much is expended in the separation of the atoms of oxygen from each other, and, therefore, strictly speaking, we do not know the quantity of heat which is evolved in the reaction alone, although the number of units of heat evolved in the combustion of detonating gas is accurately known. the construction of the calorimeter and even the method of determination vary considerably in different cases. since the beginning of the nineties, a large number of determinations of the heat of combustion have been conducted in closed bombs containing compressed oxygen. the greatest number of calorimetric determinations were made by berthelot and thomsen. they are given in their works _essai de mécanique chimique fondée sur la thermochimie_, by m. berthelot, ( vols.), and _thermochemische untersuchungen_, by j. thomsen, ( vols.) the most important methods of recent thermochemistry, and all the trustworthy results of experiment, are given in prof. p. f. louginin's _description of the different modes of determining the heat of combustion of organic compounds_, moscow, . the student must refer to works on theoretical and physical chemistry for a description of the elements and methods of _thermochemistry_, into the details of which it is impossible to enter in this work. one of the originators of thermochemistry, hess, was a member of the st. petersburg academy of sciences. since a large amount of research has been carried out in this province of chemistry, especially in france and germany, after the investigations of the french academician, berthelot, and professor thomsen, of copenhagen. among russians, beketoff, louginin, cheltzoff, chroustchoff, and others are known by their thermochemical researches. the present epoch of thermochemistry must be considered rather as a collective one, wherein the material of facts is amassed, and the first consequences arising from them are noticed. in my opinion two essential circumstances prevent the possibility of deducing any exact consequences, of importance to chemical mechanics, from the immense store of thermochemical data already collected: ( ) the majority of the determinations are conducted in weak aqueous solutions, and, the heat of solution being known, are referred to the substances in solution; yet there is much (chapter i.) which leads to the conclusion that in solution water does not play the simple part of a diluting medium, but of itself acts independently in a chemical sense on the substance dissolved. ( ) physical and mechanical changes (decrease of volume, diffusion, and others) invariably proceed side by side with chemical changes, and for the present it is impossible, in a number of cases, to distinguish the thermal effect of the one and the other kind of change. it is evident that the one kind of change (chemical) is essentially inseparable and incomprehensible without the other (mechanical and physical); and therefore it seems to me that thermochemical data will only acquire their true meaning when the connection between the phenomena of both kinds (on the one hand chemical and atomic, and on the other hand mechanical and molecular or between entire masses) is explained more clearly and fully than is at present the case. as there is no doubt that the simple mechanical contact, or the action of heat alone, on substances sometimes causes an evident and always a latent (incipient) chemical change--that is, a different distribution or motion of the atoms in the molecules--it follows that purely chemical phenomena are inseparable from physical and mechanical phenomena. a mechanical change may be imagined without a physical change, and a physical without a chemical change, but it is impossible to imagine a chemical change without a physical and mechanical one, for without the latter we should not be able to recognise the former, and it is by their means that we are enabled to do so. [ ] the flame, or locality where the combustion of gases and vapours takes place, is a complex phenomenon, 'an entire factory,' as faraday says, and therefore we will consider flame in some detail in one of the following notes. [ ] if , units of heat are evolved in the combustion of part of hydrogen, and this heat is transmitted to the resulting parts by weight of aqueous vapour, then we find that, taking the specific heat of the latter as · , each unit of heat raises the temperature of part by weight of aqueous vapour °· and parts by weight ( · ÷ ) o°· ; hence the , units of heat raise its temperature , °. if detonating gas is converted into water in a closed space, then the aqueous vapour formed cannot expand, and therefore, in calculating the temperature of combustion, the specific heat at a constant volume must be taken into consideration; for aqueous vapour it is · . this figure gives a still higher temperature for the flame. in reality it is much lower, but the results given by different observers are very contradictory (from , ° to , °), the discrepancies depending on the fact that flames of different sizes are cooled by radiation to a different degree, but mainly on the fact that the methods and apparatus (pyrometers) for the determination of high temperatures, although they enable relative changes of temperature to be judged, are of little use for determining their absolute magnitude. by taking the temperature of the flame of detonating gas as , °, i give, i think, the average of the most trustworthy determinations and calculations based upon the determination of the variation of the specific heat of aqueous vapour and other gases (_see_ chapter xli.) [ ] it is evident that not only hydrogen, but every other combustible gas, will give an explosive mixture with oxygen. for this reason coal-gas mixed with air explodes when the mixture is ignited. the pressure obtained in the explosions serves as the _motive power of gas engines_. in this case advantage is taken, not only of the pressure produced by the explosion, but also of that contraction which takes place after the explosion. on this is based the construction of several motors, of which lenoir's was formerly, and otto's is now, the best known. the explosion is usually produced by coal-gas and air, but of late the vapours of combustible liquids (kerosene, benzene) are also being employed in place of gas (chapter ix.) in lenoir's engine a mixture of coal-gas and air is ignited by means of sparks from a ruhmkorff's coil, but in the most recent machines the gases are ignited by the direct action of a gas jet, or by contact with the hot walls of a side tube. [illustration: fig. .--safety burner for detonating gas, described in text.] mixtures of hydrogen and of various other gases with oxygen are taken advantage of for obtaining high temperatures. by the aid of such high temperatures metals like platinum may be melted on a large scale, which cannot be performed in furnaces heated with charcoal and fed by a current of air. the burner, shown in fig. , is constructed for the application of detonating gas to the purpose. it consists of two brass tubes, one fixed inside the other, as shown in the drawing. the internal central tube c c conducts oxygen, and the outside, enveloping, tube e' e' conducts hydrogen. previous to their egress the gases do not mix together, so that there can be no explosion inside the apparatus. when this burner is in use c is connected with a gas-holder containing oxygen, and e with a gas-holder containing hydrogen (or sometimes coal-gas). the flow of the gases can be easily regulated by the stopcocks o h. the flame is shortest and evolves the greatest heat when the gases burning are in the proportion of volume of oxygen to volumes of hydrogen. the degree of heat may be easily judged from the fact that a thin platinum wire placed in the flame of a properly proportioned mixture easily melts. by placing the burner in the orifice of a hollow piece of lime, a crucible a b is obtained in which the platinum may be easily melted, even in large quantities if the current of oxygen and hydrogen be sufficiently great (deville). the flame of detonating gas may also be used for illuminating purposes. it is by itself very pale, but owing to its high temperature it may serve for rendering infusible objects incandescent, and at the very high temperature produced by the detonating gas the incandescent substance gives a most intense light. for this purpose lime, magnesia, or oxide of zirconium are used, as they are not fusible at the very high temperature evolved by the detonating gas. a small cylinder of lime placed in the flame of detonating gas, if regulated to the required point, gives a very brilliant white light, which was at one time proposed for illuminating lighthouses. at present in the majority of cases the electric light, owing to its constancy and other advantages, has replaced it for this purpose. the light produced by the incandescence of lime in detonating gas is called the _drummond light_ or _limelight_. the above cases form examples of the combustion of elements in oxygen, but exactly similar phenomena are observed in the _combustion of compounds_. so, for instance, the solid, colourless, shiny substance, naphthalene, c_{ }h_{ }, burns in the air with a smoky flame, whilst in oxygen it continues to burn with a very brilliant flame. alcohol, oil, and other substances burn brilliantly in oxygen on conducting the oxygen by a tube to the flame of lamps burning these substances. a high temperature is thus evolved, which is sometimes taken advantage of in chemical practice. in order to understand why combustion in oxygen proceeds more rapidly, and is accompanied by a more intense heat effect, than combustion in air, it must be recollected that air is oxygen diluted with nitrogen, which does not support combustion, and therefore fewer particles of oxygen flow to the surface of a substance burning in air than when burning in pure oxygen, besides which the reason of the intensity of combustion in oxygen is the high temperature acquired by the substance burning in it.[ bis] [ bis] let us consider as an example the combustion of sulphur in air and in oxygen. if gram of sulphur burns in air or oxygen it evolves in either case units of heat--_i.e._ evolves sufficient heat for heating , grams of water ° c. this heat is first of all transmitted to the sulphurous anhydride, so_{ }, formed by the combination of sulphur with oxygen. in its combustion gram of sulphur forms grams of sulphurous anhydride--_i.e._ the sulphur combines with gram of oxygen. in order that gram of sulphur should have access to gram of oxygen in air, it is necessary that · grams of nitrogen should simultaneously reach the sulphur, because air contains seventy-seven parts of nitrogen (by weight) per twenty-three parts of oxygen. thus in the combustion of gram of sulphur, the , units of heat are transmitted to grams of sulphurous oxide and to at least · grams of nitrogen. as · unit of heat is required to raise gram of sulphurous anhydride ° c., therefore grams require · unit. so also · grams of nitrogen require · × · or · unit of heat, and therefore in order to raise both gases ° c. · + · or · unit of heat is required; but as the combustion of the sulphur evolves , units of heat, therefore the gases might be heated (if their specific heats remained constant) to / · or , ° c. that is, the maximum possible temperature of the flame of the sulphur burning in air will be , ° c. in the combustion of the sulphur in oxygen the heat evolved ( , units) can only pass to the grams of sulphurous anhydride, and therefore the highest possible temperature of the flame of the sulphur in oxygen will be = / · or °. in the same manner it may be calculated that the temperature of charcoal burning in air cannot exceed , °, while in oxygen it may attain , ° c. for this reason the temperature in oxygen will always be higher than in air, although (judging from what has been said respecting detonating gas) neither one temperature nor the other will ever approximate to the theoretical amount. [illustration: fig. .--faraday's experiment for investigating the different parts of a candle flame.] among the phenomena accompanying the combustion of certain substances, the _phenomenon of flame_ attracts attention. sulphur, phosphorus, sodium, magnesium, naphthalene, &c., burn like hydrogen with a flame, whilst in the combustion of other substances no flame is observed, as, for instance, in the combustion of iron and of charcoal. the appearance of flame depends on the capacity of the combustible substance to yield gases or vapours at the temperature of combustion. at the temperature of combustion, sulphur, phosphorus, sodium, and naphthalene pass into vapour, whilst wood, alcohol, oil, &c., are decomposed into gaseous and vaporous substances. the combustion of gases and vapours forms flames, and therefore _a flame is composed of the hot and incandescent gases and vapours produced by combustion_. it may easily be proved that the flames of such non-volatile substances as wood contain volatile and combustible substances formed from them, by placing a tube in the flame connected with an aspirator. besides the products of combustion, combustible gases and liquids, previously in the flame as vapours, collect in the aspirator. for this experiment to succeed--_i.e._ in order to really extract combustible gases and vapours from the flame it is necessary that the suction tube should be placed _inside_ the flame. the combustible gases and vapours can only remain unburnt inside the flame, for at the surface of the flame they come into contact with the oxygen of the air and burn.[ ] flames are of different degrees of _brilliancy_, according to whether _solid_ incandescent particles occur in the combustible gas or vapour, or not. incandescent gases and vapours emit but little light by themselves, and therefore give a paler flame.[ ] if a flame does not contain solid particles it is transparent, pale, and emits but little light.[ ] the flames of burning alcohol, sulphur, and hydrogen are of this kind. a pale flame may be rendered luminous by placing fine particles of solid matter in it. thus, if a very fine platinum wire be placed in the pale flame of burning alcohol--or, better still, of hydrogen--the flame emits a bright light. this is still better seen by sifting the powder of an incombustible substance, such as fine sand, into the flame, or by placing a bunch of asbestos threads in it. every brilliant flame always contains some kind of solid particles, or at least some very dense vapour. the flame of sodium burning in oxygen has a brilliant yellow colour, from the presence of particles of solid sodium oxide. the flame of magnesium is brilliant from the fact that in burning it forms solid magnesia, which becomes white hot, and similarly the brilliancy of the drummond light is due to the heat of the flame raising the solid non-volatile lime to a state of incandescence. the flames of a candle, wood, and similar substances are brilliant, because they contain particles of charcoal or soot. it is not the flame itself which is luminous, but the incandescent soot it contains. these particles of charcoal which occur in flames may be easily observed by introducing a cold object, like a knife, into the flame.[ ] the particles of charcoal burn at the outer surface of the flame if the supply of air be sufficient, but if the supply of air--that is, of oxygen--be insufficient for their combustion the flame smokes, because the unconsumed particles of charcoal are carried off by the current of air.[ ] [ ] faraday proved this by a very convincing experiment on a candle flame. if one arm of a bent glass tube be placed in a candle flame above the wick in the dark portion of the flame, then the products of the partial combustion of the stearin will pass up the tube, condense in the other arm, and collect in a flask placed under it (fig. ) as heavy white fumes which burn when lighted. if the tube be raised into the upper luminous portion of the flame, then a dense black smoke which will not inflame accumulates in the flask. lastly, if the tube be let down until it touches the wick, then little but stearic acid condenses in the flask. [ ] all transparent substances which transmit light with great ease (that is, which absorb but little light) are but little luminous when heated; so also substances which absorb but few heat rays, when heated transmit few rays of heat. [ ] there is, however, no doubt but that very heavy dense vapours or gases under pressure (according to the experiments of frankland) are luminous when heated, because, as they become denser they approach a liquid or solid state. thus detonating gas when exploded under pressure gives a brilliant light. [ ] if hydrogen gas be passed through a volatile liquid hydrocarbon--for instance, through benzene (the benzene may be poured directly into the vessel in which hydrogen is generated)--then its vapour burns with the hydrogen and gives a very bright flame, because the resultant particles of carbon (soot) become incandescent. benzene, or platinum gauze, introduced into a hydrogen flame may be employed for illuminating purposes. [ ] in _flames_ the separate parts may be distinguished with more or less distinctness. that portion of the flame whither the combustible vapours or gases flow, is not luminous because its temperature is still too low for the process of combustion to take place in it. this is the space which in a candle surrounds the wick, or in a gas jet is immediately above the orifice from which the gas escapes. in a candle the combustible vapours and gases which are formed by the action of heat on the melted tallow or stearin rise in the wick, and are heated by the high temperature of the flame. by the action of the heat, the solid or liquid substance is here, as in other cases, decomposed, forming products of dry distillation. these products occur in the central portion of the flame of a candle. the air travels to it from the outside, and is not able to intermix at once with the vapours and gases in all parts of the flame equally; consequently, in the outer portion of the flame the amount of oxygen will be greater than in the interior portions. but, owing to diffusion, the oxygen, of course mixed with nitrogen, flowing towards the combustible substance, does finally penetrate to the interior of the flame (when the combustion takes place in ordinary air). the combustible vapours and gases combine with this oxygen, evolve a considerable amount of heat, and bring about that state of incandescence which is so necessary both for keeping up the combustion and also for the uses to which the flame is applied. passing from the colder envelope of air through the interior of the flame, to the source of the combustible vapours (for instance, the wick), we evidently first traverse layers of higher and higher temperature, and then portions which are less and less hot, in which the combustion is less complete, owing to the limited supply of oxygen. [illustrationtion: fig. .--in the candle flame the portion c contains the vapours and products of decomposition; in the bright zone a the combustion has commenced, and particles of carbon are emitted; and in the pale zone b the combustion is completed.] thus unburnt products of the decomposition of organic substances occur in the interior of the flame. but there is always free hydrogen in the interior of the flame, even when oxygen is introduced there, or when a mixture of hydrogen and oxygen burns, because the temperature evolved in the combustion of hydrogen or the carbon of organic matter is so high that the products of combustion are themselves partially decomposed--that is, dissociated--at this temperature. hence, in a flame a portion of the hydrogen and of the oxygen which might combine with the combustible substances must always be present in a free state. if a hydrocarbon burns, and we imagine that a portion of the hydrogen is in a free state, then a portion of the carbon must also occur in the same form in the flame, because, other conditions being unchanged, carbon burns after hydrogen, and this is actually observed in the combustion of various hydrocarbons. charcoal, or the soot of a common flame, arises from the dissociation of organic substances contained in the flame. the majority of hydrocarbons, especially those containing much carbon--for instance, naphthalene--burn, even in oxygen, with separation of soot. in that portion of the flame where the hydrogen burns the carbon remains unburnt, or at least partly so. it is this free carbon which causes the brilliancy of the flame. that the interior of the flame contains a mixture which is still capable of combustion may be proved by the following experiment: a portion of the gases may be withdrawn by an aspirator from the central portion of the flame of carbonic oxide, which is combustible in air. for this purpose deville passed water through a metallic tube having a fine lateral orifice, which is placed in the flame. as the water flows along the tube portions of the gases of the flame enter, and, passing along the tube alternately with cylinders of water, are carried away into an apparatus where they can be investigated. it appears that all portions of the flame obtained by the combustion of a mixture of carbonic oxide and oxygen contain a portion of this mixture still unburnt. the researches of deville and bunsen showed that in the explosion of a mixture of hydrogen and of carbonic oxide with oxygen in a closed space, complete combustion does not ever take place immediately. if two volumes of hydrogen and one volume of oxygen be confined in a closed space, then on explosion the pressure does not attain that magnitude which it would were there immediate and complete combustion. it may be calculated that the pressure should attain twenty-six atmospheres. in reality, it does not exceed nine and a half atmospheres. hence the admixture of the products of combustion with an explosive mixture prevents the combustion of the remaining mass, although capable of burning. the admixture of carbonic anhydride prevents carbonic oxide from burning. the presence of any other foreign gas interferes in the same manner. this shows that every portion of a flame must contain combustible, burning, and already burnt substances--_i.e._ oxygen, carbon, carbonic oxide, hydrogen, hydrocarbons, carbonic anhydride, and water. consequently, _it is impossible to attain instantaneous complete combustion_, and this is one of the reasons of the phenomenon of flame. a certain space is required, and the temperature must be unequal in different parts of it. in this space different quantities of the component parts are successively subjected to combustion, or are cooled under the influence of adjacent objects, and combustion only ends where the flame ends. if the combustion could be concentrated at one spot, then the temperature would be incomparably higher than it is under the actual circumstances. the various regions of the flame have formed the frequent subject of experimental research, and the experiments conducted by smithells and ingle ( ) are particularly instructive; they show that the reducing (interior) and oxidising (exterior) portions of the flame of a burning gas may be divided by taking a bunsen burner and surrounding the flame of the gas burnt in it, by another wider tube (without the access of air to the annular space or allowing only a small current of air to pass), when a gaseous mixture, containing oxide of carbon and capable of further combustion, will issue from this enveloping tube, so that a second flame, corresponding to the exterior (oxidising) portion of an ordinary flame, may be obtained above the enveloping tube. this division of the flame into two portions is particularly clear when cyanogen c_{ }n_{ } is burnt, because the interior portion (where co is chiefly formed according to the equation c_{ }n_{ } + o_{ } = co + n_{ }, but a portion of the nitrogen is oxidised) is of a rose colour, while the exterior portion (where the co burns into co_{ } at the expense of a fresh quantity of oxygen and of the oxides of nitrogen proceeding from the interior portions) is of a bluish-grey colour. the combination of various substances with oxygen may not present any signs of combustion--that is, the temperature may rise but inconsiderably. this may either proceed from the fact that the reaction of the substance (for example, tin, mercury, lead at a high temperature, or a mixture of pyrogallol with caustic potash at the ordinary temperature) evolves but little heat, or that the heat evolved is transmitted to good conductors of heat, like metals, or that the combination with oxygen takes place so slowly that the heat evolved succeeds in passing to the surrounding objects. combustion is only a particular, intense, and evident case of combination with oxygen. respiration is also an act of combination with oxygen; it also serves, like combustion, for the development of heat by those chemical processes which accompany it (the transformation of oxygen into carbonic anhydride). lavoisier enunciated this in the lucid expression, 'respiration is slow combustion.' reactions involving slow combination of substances with oxygen are termed _oxidations_. combination of this kind (and also combustion) often results in the formation of acid substances, and hence the name _oxygen_ (_sauerstoff_). combustion is only rapid oxidation. phosphorus, iron, and wine may be taken as examples of substances which slowly oxidise in air at the ordinary temperature. if such a substance be left in contact with a definite volume of air or oxygen, it absorbs the oxygen little by little, as may be seen by the decrease in volume of the gas. this slow oxidation is not often accompanied by a sensible evolution of heat; an evolution of heat really does occur, only it is not apparent to our senses owing to the small rise in temperature which takes place; this is owing to the slow rate of the reaction and to the transmission of the heat formed as radiant heat, &c. thus, in the oxidation of wine and its transformation into vinegar by the usual method of preparation of the latter, the heat evolved cannot be observed because it extends over several weeks, but in the so-called rapid process of the manufacture of vinegar, when a large quantity of wine is comparatively rapidly oxidised, the evolution of heat is quite apparent. such slow processes of oxidation are always taking place in nature by the action of the atmosphere. dead organisms and the substances obtained from them--such as bodies of animals, wood, wool, grass, &c.--are especially subject to this action. they _rot_ and _decompose_--that is, their solid matter is transformed into gases, under the influence of moisture and atmospheric oxygen, and generally under the influence of other organisms, such as moulds, worms, micro-organisms (bacteria), and the like. these are processes of slow combustion, of slow combination with oxygen. it is well known that manure rots and develops heat, that stacks of damp hay, damp flour, straw, &c., become heated and are changed in the process.[ ] in all these transformations the same chief products of combustion are formed as those which are contained in smoke; the carbon gives carbonic anhydride, and the hydrogen water. hence these processes require oxygen just like combustion. this is the reason why the entire prevention of access of air hinders these transformations,[ ] and an increased supply of air accelerates them. the mechanical treatment of arable lands by the plough, harrow, and other similar means has not only the object of facilitating the spread of roots in the ground, and of making the soil more permeable to water, but it also serves to facilitate the access of the air to the component parts of the soil; as a consequence of which the organic remains of soil rot--so to speak, breathe air and evolve carbonic anhydride. one acre of good garden land in the course of a summer evolves more than sixteen tons of carbonic anhydride. [ ] cotton waste (used in factories for cleaning machines from lubricating oil) soaked in oil and lying in heaps is self-combustible, being oxidised by the air. [ ] when it is desired to preserve a supply of vegetable and animal food, the access of the oxygen of the atmosphere (and also of the germs of organisms present in the air) is often prevented. with this object articles of food are often kept in hermetically closed vessels, from which the air has been withdrawn; vegetables are dried and soldered up while hot in tin boxes; sardines are immersed in oil, &c. the removal of water from substances is also sometimes resorted to with the same object (the drying of hay, corn, fruits), as also is saturation with substances which absorb oxygen (such as sulphurous anhydride), or which hinder the growth of organisms forming the first cause of putrefaction, as in processes of smoking, embalming, and in the keeping of fishes and other animal specimens in spirit, &c. it is not only vegetable and animal substances which are subject to slow oxidation in the presence of water. some metals even rust under these conditions. copper very easily absorbs oxygen in the presence of acids. many metallic sulphides (for example, pyrites) are very easily oxidised with access of air and moisture. thus processes of slow oxidation proceed throughout nature. however, there are many elements which do not under any circumstances combine directly with gaseous oxygen; nevertheless their compounds with oxygen may be obtained. platinum, gold, iridium, chlorine, and iodine are examples of such elements. in this case recourse is had to a so-called _indirect method_--_i.e._ the given substance is combined with another element, and by a method of double decomposition this element is replaced by oxygen. substances which do not directly combine with oxygen, but form compounds with it by an indirect method, often readily lose the oxygen which they had absorbed by double decomposition or at the moment of its evolution. such, for example, are the compounds of oxygen with chlorine, nitrogen, and platinum, which evolve oxygen on heating--that is, they may be used as oxidising agents. in this respect _oxidising agents_, or those compounds of oxygen which are employed in chemical and technical practice for transferring oxygen to other substances, are especially remarkable. the most important among these is nitric acid or _aqua fortis_--a substance rich in oxygen, and capable of evolving it when heated, which easily oxidises a great number of substances. thus nearly all metals and organic substances containing carbon and hydrogen are more or less oxidised when heated with nitric acid. if strong nitric acid be taken, and a piece of burning charcoal be immersed in the acid, it continues to burn. chromic acid acts like nitric acid; alcohol burns when mixed with it. although the action is not so marked, even water may oxidise with its oxygen. sodium is not oxidised in perfectly dry oxygen at the ordinary temperature, but it burns very easily in water and aqueous vapour. charcoal can burn in carbonic anhydride--a product of combustion--forming carbonic oxide. magnesium burns in the same gas, separating carbon from it. speaking generally, combined oxygen can pass from one compound to another. the products of combustion or oxidation--and in general the definite compounds of oxygen--are termed _oxides_. some oxides are not capable of combining with other oxides--or combine with only a few, and then with the evolution of very little heat; others, on the contrary, enter into combination with very many other oxides, and in general have remarkable chemical energy. the oxides incapable of combining with others, or only showing this quality in a small degree, are termed _indifferent oxides_. such are the peroxides, of which mention has before been made. the class of oxides capable of entering into mutual combination we will term _saline oxides_. they fall into two chief groups--at least, as regards the most extreme members. the members of one group combine with the members of the other group with particular ease. as representative of one group may be taken the oxides of the metals, magnesium, sodium, calcium, &c. representatives of the other group are the oxides formed by the non-metals, sulphur, phosphorus, carbon. thus, if we take the oxide of calcium, or lime, and bring it into contact with oxides of the second group, combination very readily ensues. for instance, if we mix calcium oxide with oxide of phosphorus they combine with great facility and with the evolution of much heat. if we pass the vapour of sulphuric anhydride, obtained by the combination of sulphurous oxide with oxygen, over pieces of lime heated to redness, the sulphuric anhydride is absorbed by the lime with the formation of a substance called calcium sulphate. the oxides of the first kind, which contain metals, are termed _basic oxides_ or _bases_. lime is a familiar example of this class. the oxides of the second group, which are capable of combining with the bases, are termed _anhydrides of the acids_ or _acid oxides_. sulphuric anhydride, so_{ }, may be taken as a type of the latter group. it is a compound of sulphur with oxygen formed not directly but by the addition of a fresh quantity of oxygen to sulphurous anhydride, so_{ }, by passing it together with oxygen over incandescent spongy platinum. carbonic anhydride (often termed 'carbonic acid'), co_{ }, phosphoric anhydride, sulphurous anhydride, are all acid oxides, for they can combine with such oxides as lime or calcium oxide, magnesia or magnesium oxide, mgo, soda or sodium oxide, na_{ }o, &c. if a given element form but one basic oxide, it is termed the _oxide_; for example, calcium oxide, magnesium oxide, potassium oxide. some indifferent oxides are also called 'oxides' if they have not the properties of peroxides, and at the same time do not show the properties of acid anhydrides--for example, carbonic oxide, of which mention has already been made. if an element forms two basic oxides (or two indifferent oxides not having the characteristics of a peroxide) then that of the lower degree of oxidation is called a _suboxide_--that is, suboxides contain less oxygen than oxides. thus, when copper is heated to redness in a furnace it increases in weight and absorbs oxygen, until for parts of copper there is absorbed not more than parts of oxygen by weight, forming a red mass, which is suboxide of copper; but if the roasting be prolonged, and the draught of air increased, parts of copper absorb parts of oxygen, and form black oxide of copper. sometimes to distinguish between the degrees of oxidation a change of suffix is made in the oxidised element, _-ic_ oxide denoting the higher degree of oxidation, and _-ous_ oxide the lower degree. thus ferrous oxide and ferric oxide are the same as suboxide of iron and oxide of iron. if an element forms one anhydride only, then it is named by an adjective formed from the name of the element made to end in _-ic_ and the word _anhydride_. when an element forms two anhydrides, then the suffixes _-ous_ and _-ic_ are used to distinguish them: _-ous_ signifying less oxygen than _-ic_; for example, sulphurous and sulphuric anhydrides.[ ] when several oxides are formed from the same element, the prefixes _mon_, _di_, _tri_, _tetra_ are used, thus: chlorine monoxide, chlorine dioxide, chlorine trioxide, and chlorine tetroxide or chloric anhydride. [ ] it must be remarked that certain elements form oxides of all three kinds--_i.e._ indifferent, basic, and acid; for example, manganese forms manganous oxide, manganic oxide, peroxide of manganese, red oxide of manganese, and manganic anhydride, although some of them are not known in a free state but only in combination. the basic oxides contain less oxygen than the peroxides, and the peroxides less than the acid anhydrides. thus they must be placed in the following general normal order with respect to the amount of oxygen entering into their composition--( ) basic oxides, suboxides, and oxides; ( ) peroxides; ( ) acid anhydrides. the majority of elements, however, do not give all three kinds of oxides, some giving only one degree of oxidation. it must further be remarked that there are oxides formed by the combination of acid anhydrides with basic oxides, or, in general, of oxides with oxides. for every oxide having a higher and a lower degree of oxidation, it might be said that the intermediate oxide was formed by the combination of the higher with the lower oxide. but this is not true in all cases--for instance, when the oxide under consideration forms a whole series of independent compounds--for oxides which are really formed by the combination of two other oxides do not give such independent compounds, but in many cases decompose into the higher and lower oxides. the oxides themselves rarely undergo chemical transformations, and in the few cases where they are subject to such changes a particularly important part is played by their combinations with water. the majority of, if not all, basic and acid oxides combine with water, either by a direct or an indirect method forming _hydrates_--that is, compounds which split up into water and an oxide of the same kind only. it is well known that many substances are capable of combining with water. oxides possess this property in the highest degree. we have already seen examples of this (chapter i.) in the combination of lime, and of sulphuric and phosphoric anhydrides, with water. the resulting combinations are basic and acid hydrates. acid hydrates are called _acids_ because they have an acid taste when dissolved in water (or saliva), for then only can they act on the palate. vinegar, for example, has an acid taste because it contains acetic acid dissolved in water. sulphuric acid, to which we have frequently referred, because it is the acid of the greatest importance both in practical chemistry and for its technical applications, is really a hydrate formed by the combination of sulphuric anhydride with water. besides their acid taste, dissolved acids or acid hydrates have the property of changing the blue colour of certain vegetable dyes to red. of these dyes _litmus_ is particularly remarkable and much used. it is the blue substance extracted from certain lichens, and is used for dyeing tissues blue; it gives a blue infusion with water. this infusion, on the addition of an acid, _changes from blue to red_.[ ] [ ] blotting or unsized paper, soaked in a solution of litmus, is usually employed for detecting the presence of acids. this paper is cut into strips, and is called _test paper_; when dipped into acid it immediately turns red. this is a most sensitive reaction, and may be employed for testing for the smallest traces of acids. if , parts by weight of water be mixed with part of sulphuric acid, the coloration is distinct, and it is even perceptible on the addition of ten times more water. certain precautions must, however, be taken in the preparation of such very sensitive litmus paper. litmus is sold in lumps. take, say, grams of it; powder it, and add it to cold pure water in a flask; shake and decant the water. repeat this three times. this is done to wash away easily-soluble impurities, especially alkalis. transfer the washed litmus (it is washed with absolute alcohol to remove the non-sensitive reddish colouring matter) to a flask, and pour in c.c. of water, heat, and allow the hot infusion to remain for some hours in a warm place. then filter, and divide the filtrate into two parts. add a few drops of nitric acid to one portion, so that a faint red tinge is obtained, and then mix the two portions. add spirit to the mixture, and keep it in a stoppered bottle (it soon spoils if left open to the air). this infusion may be employed directly; it reddens in the presence of acids, and turns blue in the presence of alkalis. if evaporated, a solid mass is obtained which is soluble in water, and may be kept unchanged for any length of time. the test paper may be prepared as follows:--take a strong infusion of litmus, and soak blotting-paper with it; dry it, and cut it into strips, and use it as test-paper for acids. for the detection of alkalis, the paper must be soaked in a solution of litmus just reddened by a few drops of acid; if too much acid be taken, the paper will not be sensitive. such acids as sulphuric acid colour litmus, and especially its infusion, a brick-red colour, whilst more feeble acids, such as carbonic, give a faint red-wine tinge. test-paper of a yellow colour is also employed; it is dyed by an infusion of turmeric roots in spirit. in alkalis it turns brown, but regains its original hue in acids. many blue and other vegetable colouring matters may be used for the detection of acids and alkalis; for example, infusions of cochineal, violets, log-wood, &c. certain artificially prepared substances and dyes may also be employed. thus rosolic acid, c_{ }h_{ }o_{ } and phenolphthaleïn, c_{ }h_{ }o_{ } (it is used in an alcoholic solution, and is not suitable for the detection of ammonia), are colourless in an acid, and red in an alkaline, solution. cyanine is also colourless in the presence of acids, and gives a blue coloration with alkalis. methyl-orange (yellow in an aqueous solution) is not altered by alkalis but becomes pink with acids (weak acids have no action), &c. these are very sensitive tests. their behaviour in respect to various acids, alkalis, and salts sometimes give the means of distinguishing substances from each other. basic oxides, in combining with water, form hydrates, of which, however, very few are soluble in water. those which are soluble in water have an alkaline taste like that of soap or of water in which wood ashes have been boiled, and are called _alkalis_. further, alkalis have the property of restoring the blue colour to litmus which has been reddened by the action of acids. the hydrates of the oxides of sodium and potassium, naho and kho, are examples of basic hydrates easily soluble in water. they are true alkalis, and are termed _caustic_, because they act very powerfully on the skin of animals and plants. thus naho is called 'caustic' soda. the saline oxides are capable of combining together and with water. water itself is an oxide, and not an indifferent one, for it can, as we have seen, combine with basic and acid oxides; it is a representative of a whole series of saline oxides, _intermediate oxides_, capable of combining with both basic and acid oxides. there are many such oxides, which, like water, combine with basic and acid anhydrides--for instance, the oxides of aluminium and tin, &c. from this it may be concluded that all oxides might be placed, in respect to their capacity for combining with one another, in one uninterrupted series, at one extremity of which would stand those oxides which do not combine with the bases--that is, the alkalis--while at the other end would be the acid oxides, and in the interval those oxides which combine with one another and with both the acid and basic oxides. the further apart the members of this series are, the more stable are the compounds they form together, the more energetically do they act on each other, the greater the quantity of heat evolved in their reaction, and the more marked is their saline chemical character. we said above that basic and acid oxides combine together, but rarely react on each other; this depends on the fact that the majority of them are solids or gases--that is, they occur in the state least prone to chemical reaction. the gaseo-elastic state is with difficulty destroyed, because it necessitates overcoming the elasticity proper to the gaseous particles. the solid state is characterised by the immobility of its particles; whilst chemical action requires contact, and hence a displacement and mobility. if solid oxides be heated, and especially if they be melted, then reaction proceeds with great ease. but such a change of state rarely occurs in nature or in practice. only in a few furnace processes is this the case. for example; in the manufacture of glass, the oxides contained in it combine together in a molten state. but when oxides combine with water, and especially when they form hydrates soluble in water, then the mobility of their particles increases to a considerable extent, and their reaction is greatly facilitated. reaction then takes place at the ordinary temperature--easily and rapidly; so that this kind of reaction belongs to the class of those which take place with unusual facility, and are, therefore, very often taken advantage of in practice, and also have been and are going on in nature at every step. we will now consider the reactions of oxides in the state of hydrates, not losing sight of the fact that water is itself an oxide with definite properties, and has, therefore, no little influence on the course of those changes in which it takes part. if we take a definite quantity of an acid, and add an infusion of litmus to it, it turns red; the addition of an alkaline solution does not immediately alter the red colour of the litmus, but on adding more and more of the alkaline solution a point is reached when the red colour changes to violet, and then the further addition of a fresh quantity of the alkaline solution changes the colour to blue. this change of the colour of the litmus is a consequence of the formation of a new compound. this reaction is termed the _saturation_ or _neutralisation_ of the acid by the base, or _vice versâ_. the solution in which the acid properties of the acid are saturated by the alkaline properties of the base is termed a _neutral_ solution. such a solution, although derived from the mixture of a base with an acid, does not exhibit either the acid or basic reaction on litmus, yet it preserves many other signs of the acid and alkali. it is observed that in such a definite admixture of an acid with an alkali, besides the changes in the colour of litmus there is a heating effect--_i.e._ an evolution of heat--which is alone sufficient to prove that there was chemical action. and, indeed, if the resultant violet solution be evaporated, there separates out, not the acid or the alkali originally taken, but a substance which has neither acid nor alkaline properties, but is usually solid and crystalline, having a saline appearance; this is a _salt_ in the chemical sense of the word. hence a salt is derived from the reaction of an acid on an alkali, in a certain definite proportion. the water here taken for solution plays no other part than merely facilitating the progress of the reaction. this is seen from the fact that the anhydrides of the acids are able to combine with basic oxides, and give the same salts as do the acids with the alkalis or hydrates. hence, a salt is a compound of definite quantities of an acid with an alkali. in the latter reaction, water is separated out if the substance formed be the same as is produced by the combination of anhydrous oxides together.[ ] examples of the formation of salts from acids and bases are easily observed, and are very often applied in practice. if we take, for instance, insoluble magnesium oxide (magnesia) it is easily dissolved in sulphuric acid, and on evaporation gives a saline substance, bitter, like all the salts of magnesium, and familiar to all under the name of epsom salts, used as a purgative. if a solution of caustic soda--which is obtained, as we saw, by the action of water on sodium oxide--be poured into a flask in which charcoal has been burnt; or if carbonic anhydride, which is produced under so many circumstances, be passed through a solution of caustic soda, then sodium carbonate or soda, na_{ }co_{ }, is obtained, of which we have spoken several times, and which is prepared on a large scale and often used in manufactures. this reaction is expressed by the equation, naho + co_{ } = na_{ }co_{ } + h_{ }o. thus, the various bases and acids form an innumerable number of different salts.[ ] salts constitute an example of definite chemical compounds, and both in the history and practice of science are most often cited as confirming the conception of definite chemical compounds. indeed, all the indications of a definite chemical combination are clearly seen in the formation and properties of salts. thus, they are produced with a definite proportion of oxides, heat is evolved in their formation,[ ] and the chemical character of the oxides and many of the physical properties become hidden in their salts. for example, when gaseous carbonic anhydride combines with a base to form a solid salt, the elasticity of the gas quite disappears in its passage into the salt.[ ] [ ] that water really is separated in the reaction of acid on alkaline hydrates, may be shown by taking some other intermediate hydrate--for example, alumina--instead of water. thus, if a solution of alumina in sulphuric acid be taken, it will have, like the acid, an acid reaction, and will therefore colour litmus red. if, on the other hand, a solution of alumina in an alkali--say, potash--be taken, it will have an alkaline reaction, and will turn red litmus blue. on adding the alkaline to the acid solution until neither an alkaline nor an acid reaction is produced, a salt is formed, consisting of sulphuric anhydride and potassium oxide. in this, as in the reaction of hydrates, an intermediate oxide is separated out--namely, alumina. its separation will be very evident in this case, as alumina is insoluble in water. [ ] the mutual interaction of hydrates, and their capacity of forming salts, may be taken advantage of for determining the character of those hydrates which are insoluble in water. let us imagine that a given hydrate, whose chemical character is unknown, is insoluble in water. it is therefore impossible to test its reaction on litmus. it is then mixed with water, and an acid--for instance, sulphuric acid--is added to the mixture. if the hydrate taken be basic, reaction will take place, either directly or by the aid of heat, with the formation of a salt. in certain cases, the resultant salt is soluble in water, and this will at once show that combination has taken place between the insoluble basic hydrate and the acid, with the formation of a soluble saline substance. in those cases where the resultant salt is insoluble, still the water loses its acid reaction, and therefore it may he ascertained, by the addition of an acid, whether a given hydrate has a basic character, like the hydrates of oxide of copper, lead, &c. if the acid does not act on the given insoluble hydrate (at any temperature), then it has not a basic character, and it should be tested as to whether it has an acid character. this is done by taking an alkali, instead of the acid, and by observing whether the unknown hydrate then dissolves, or whether the alkaline reaction disappears. thus it may he proved that hydrate of silica is acid, because it dissolves in alkalis and not in acids. if it be a case of an insoluble intermediate hydrate, then it will be observed to react on both the acid and alkali. hydrate of alumina is an instance in question, which is soluble both in caustic potash and in sulphuric acid. the _degree of affinity_ or chemical _energy_ proper to oxides and their hydrates is very dissimilar; some extreme members of the series possess it to a great extent. when acting on each other they evolve a large quantity of heat, and when acting on intermediate hydrates they also evolve heat to a considerable degree, as we saw in the combination of lime and sulphuric anhydride with water. when extreme oxides combine they form stable salts, which are decomposed with difficulty, and often show characteristic properties. the compounds of the intermediate oxides with each other, or even with basic and acid oxides, present a very different case. however much alumina we may dissolve in sulphuric acid, we cannot saturate the acid properties of the sulphuric acid, the resulting solution will always have an acid reaction. so also, whatever quantity of alumina is dissolved in an alkali, the resulting solution will always present an alkaline reaction. [ ] in order to give an idea of the quantity of heat evolved in the formation of salts i append a table of data for _very dilute aqueous solutions_ of acids and alkalis, according to the determinations of berthelot and thomsen. the figures are given in major calories--that is, in thousands of units of heat. for example, grams of sulphuric acid, h_{ }so_{ }, taken in a dilute aqueous solution, when mixed with such an amount of a weak solution of caustic soda, naho, that a neutral salt is formed (when all the hydrogen of the acid is replaced by the sodium), evolves , units of heat. parts of parts of h_{ }so_{ } hno_{ } naho · · kho · · nh_{ } · · cao · · bao · · mgo · · feo · · (?) zno · · fe_{ }o_{ } · · these figures cannot be considered as the heat of neutralisation, because the water here plays an important part. thus, for instance, sulphuric acid and caustic soda in dissolving in water evolve very much heat, and the resultant sodium sulphate very little; consequently, the amount of heat evolved in an anhydrous combination will be different from that evolved in a hydrated combination. those acids which are not energetic in combining with the same quantity of alkalis required for the formation of normal salts of sulphuric or nitric acids always, however, give less heat. for instance, with caustic soda: carbonic acid gives · , hydrocyanic, · , hydrogen sulphide, · major calories. and as feeble bases (for example, fe_{ }o_{ }) also evolve less heat than those which are more powerful, so a certain general correlation between thermochemical data and the degree of affinity shows itself here, as in other cases (_see_ chapter ii., note ); this does not, however, give any reason for measuring the affinity which binds the elements of salts by the heat of their formation in dilute solutions. this is very clearly demonstrated by the fact that water is able to decompose many salts, and is separated in their formation. [ ] carbonic anhydride evolves heat in dissolving in water. the solution easily dissociates and evolves carbonic anhydride, according to the law of henry and dalton (_see_ chapter i.) in dissolving in caustic soda, it either gives a normal salt, na_{ }co_{ }, which does not evolve carbonic anhydride, or an acid salt, nahco_{ } which easily evolves carbonic anhydride when heated. the same gas, when dissolved in solutions of salts, acts in one or the other manner (_see_ chapter ii., note ). here it is seen what a successive series of relations exists between compounds of a different order, between substances of different degrees of stability. by making a distinction between the phenomena of solutions and chemical compounds, we overlook those natural transitions which in reality exist. judging from the above, a salt is a compound of basic and acid oxides, or the result of the action of hydrates of these classes on each other with separation of water. but salts may be obtained by other methods. it must not be forgotten that basic oxides are formed by metals, and acid oxides usually by non-metals. but metals and non-metals are capable of combining together, and a salt is frequently formed by the oxidation of such a compound. for example, iron very easily combines with sulphur, forming iron sulphide fes (as we saw in the introduction); this in air, and especially moist air, absorbs oxygen, with the formation of the same salt feso_{ }, that may be obtained by the combination of the oxides of iron and sulphur, or of the hydrates of these oxides. hence, it cannot be said or supposed that a salt has the properties of the oxides, or must necessarily contain two kinds of oxides in itself. the derivation of salts from oxides is merely one of the methods of their preparation. we saw, for instance, that in sulphuric acid it was possible to replace the hydrogen by zinc, and that by this means zinc sulphate was formed; so likewise the hydrogen in many other acids may be replaced by zinc, iron, potassium, sodium, and a whole series of similar metals, corresponding salts being obtained. the hydrogen of the acid, in all these cases, is exchanged for a metal, and a salt is obtained from the hydrate. regarding a salt from this point of view, it may be said that _a salt is an acid in which hydrogen is replaced by a metal_. this definition shows that a salt and an acid are essentially compounds of the same series, with the difference that the latter contains hydrogen and the former a metal. such a definition is more exact than the first definition of salts, inasmuch as it likewise includes those acids which do not contain oxygen, and, as we shall afterwards learn, there is a series of such acids. such elements as chlorine and bromine form compounds with hydrogen in which the hydrogen may be replaced by a metal, forming substances which, in their reactions and external characters, resemble the salts formed from oxides. table salt, nacl, is an example of this. it may be obtained by the replacement of hydrogen in hydrochloric acid, hcl, by the metal sodium, just as sulphate of sodium, na_{ }so_{ }, may be obtained by the replacement of hydrogen in sulphuric acid, h_{ }so_{ }, by sodium. the exterior appearance of the resulting products, their neutral reaction, and even their saline taste, show their resemblance to one another. to the fundamental properties of salts yet another must be added--namely, that they are more or less _decomposed by the action of a galvanic current_. the results of this decomposition are very different according to whether the salt be taken in a fused or dissolved state. but the decomposition may generally be so represented, that the metal appears at the electro-negative pole or cathode (like hydrogen in the decomposition of water, or its mixture with sulphuric acid), and the remaining parts of the salt appear at the electro-positive pole or anode (where the oxygen of water appears). if, for instance, an electric current acts on an aqueous solution of sodium sulphate, then the sodium appears at the negative pole, and oxygen and the anhydride of sulphuric acid at the positive pole. but in the solution itself the result is different, for sodium, as we know, decomposes water with evolution of hydrogen, forming caustic soda; consequently hydrogen will be evolved, and caustic soda appear at the negative pole: while at the positive pole the sulphuric anhydride immediately combines with water and forms sulphuric acid, and therefore oxygen will be evolved and sulphuric acid formed round this pole.[ ] in other cases, when the metal separated is not able to decompose water, it will be deposited in a free state. thus, for example, in the decomposition of copper sulphate, copper separates out at the cathode, and oxygen and sulphuric acid appear at the anode, and if a copper plate be attached to the positive pole, then the oxygen evolved will oxidise the copper, and the oxide of copper will dissolve and be deposited at the negative pole--that is, a transfer of copper from the positive to the negative pole ensues. the galvanoplastic art (electro-typing) is based on this principle.[ ] therefore the most radical and general properties of salts (including also such salts as table salt, which contain no oxygen) may be expressed by representing the salt as composed of a metal m and a haloid x--that is, by expressing the salt by mx. in common table salt the metal is sodium, and the haloid an elementary body, chlorine. in sodium sulphate, na_{ }so_{ }, sodium is again the metal, but the complex group, so_{ }, is the haloid. in sulphate of copper, cuso_{ }, the metal is copper and the haloid the same as in the preceding salt. such a representation of salts expresses with great simplicity the _capacity of every salt to enter into saline double decompositions with other salts_; consisting in the mutual replacement of the metals in the salts. this exchange of their metals is the fundamental property of salts. in the case of two salts with different metals and haloids, which are in solution or fusion, or in any other manner brought into contact, the metals of these salts will always partially or wholly exchange places. if we designate one salt by mx, and the other by ny, then we either partially or wholly obtain from them new salts, my and nx. thus we saw in the introduction, that on mixing solutions of table salt, nacl, and silver nitrate, agno_{ }, a white insoluble precipitate of silver chloride, agcl, is formed and a new salt, sodium nitrate, nano_{ }, is obtained in solution. if the metals of salts exchange places in reactions of double decomposition, it is clear that metals themselves, taken in a separate state, are able to act on salts, as zinc evolves hydrogen from acids, and as iron separates copper from copper sulphate. when, to what extent, and which metals displace each other, and how the metals are distributed between the haloids, will be discussed in chapter x., where we shall be guided by those reflections and deductions which berthollet introduced into the science at the beginning of this century. [ ] this kind of decomposition may be easily observed by pouring a solution of sodium sulphate into a u-shaped tube and inserting electrodes in the two branches. if the solution be coloured with an infusion of litmus, it will easily be seen that it turns blue at the cathode, owing to the formation of sodium hydroxide, and red at the electro-positive pole, from the formation of sulphuric acid. [ ] in other cases the decomposition of salts by the electric current may be accompanied by much more complex results. thus, when the metal of the salt is capable of a higher degree of oxidation, such a higher oxide may be formed at the positive pole by the oxygen which is evolved there. this takes place, for instance, in the decomposition of salts of silver and manganese by the galvanic current, peroxides of these metals being formed. thus in the electrolysis of a solution of kcl, kclo_{ } is formed, and of sulphuric acid (corresponding to so_{ }) persulphuric acid, corresponding to s_{ }o_{ }. but all the phenomena as yet known may be expressed by the above law--that the current decomposes salts into metals, which appear at the negative pole, and into the remaining component parts, which appear at the positive pole. according to the above observations, an acid is nothing more than a salt of hydrogen. water itself may be looked on as a salt in which the hydrogen is combined with either oxygen or the aqueous radicle, oh; water will then be hoh, and alkalis or basic hydrates, moh. the group oh, or the _aqueous radicle_, otherwise called _hydroxyl_, may be looked on as a haloid like the chlorine in table salt, not only because the element cl and the group oh very often change places, and combine with one and the same element, but also because free chlorine is very similar in many properties and reactions to peroxide of hydrogen, which is the same in composition as the aqueous radicle, as we shall afterwards see in chapter iv. alkalis and basic hydrates are also salts consisting of a metal and hydroxyl--for instance, caustic soda, naoh; this is therefore termed _sodium hydroxide_. according to this view, _acid salts_ are those in which a portion only of the hydrogen is replaced by a metal, and a portion of the hydrogen of the acid remains. thus sulphuric acid (h_{ }so_{ }) not only gives the normal salt na_{ }so_{ }, with sodium, but also an acid salt, nahso_{ }. a _basic salt_ is one in which the metal is combined not only with the haloids of acids, but also with the aqueous radicale of basic hydrates--for example, bismuth gives not only a normal salt of nitric acid, bi(no_{ })_{ }, but also basic salts like bi(oh)_{ }(no_{ }). as basic and acid salts of the oxygen acids contain hydrogen and oxygen, they are able to part with these as water and to give anhydro-salts, which it is evident will be compounds of normal salts with anhydrides of the acids or with bases. thus the above-mentioned acid sodium sulphate corresponds with the anhydro-salt, na_{ }s_{ }o_{ }, equal to nahso_{ }, less h_{ }o. the loss of water is here, and frequently in other cases, brought about by heat alone, and therefore such salts are frequently termed _pyro-salts_--for instance, the preceding is sodium pyrosulphate (na_{ }s_{ }o_{ }), or it may be regarded as the normal salt na_{ }so_{ } + sulphuric anhydride, so_{ }. _double_ salts are those which contain either two metals, kal(so_{ })_{ }, or two haloids.[ ] [ ] the above-enunciated generalisation of the conception of salts as compounds of the metals (simple, or compound like ammonium, nh_{ }), with the haloids (simple, like chlorine, or compound, like cyanogen, cn, or the radical of sulphuric acid, so_{ }), capable of entering into double saline decomposition, which is in accordance with the general data respecting salts, was only formed little by little after a succession of most varied propositions as to the chemical structure of salts. salts belong to the class of substances which have been known since very early times, and have long been investigated in many directions. at first, however, no distinction was made between salts, acids, and bases. glauber prepared many artificial salts during the latter half of the seventeenth century. up to that time the majority of salts were obtained from natural sources, and that salt which we have referred to several times--namely, sodium sulphate--was named glauber's salt after this chemist. rouelle distinguished normal, acid, and basic salts, and showed their action on vegetable dyes, still he confounded many salts with acids (even now every acid salt ought to be regarded as an acid, because it contains hydrogen, which may be replaced by metals--that is, it is the hydrogen of an acid). baumé disputed rouelle's opinion concerning the subdivision of salts, contending that normal salts only are true salts, and that basic salts are simple mixtures of normal salts with bases and acid salts with acids, considering that washing alone could remove the base or acid from them. rouelle, in the middle of the last century, however, rendered a great service to the study of salts and the diffusion of knowledge respecting this class of compounds in his attractive lectures. he, like the majority of the chemists of that period, did not employ the balance in his researches, but satisfied himself with purely qualitative data. the first quantitative researches on salts were carried on about this time by wenzel, who was the director of the freiburg mines, in saxony. wenzel studied the double decomposition of salts, and observed that in the double decomposition of neutral salts a neutral salt was always obtained. he proved, by a method of weighing, that this is due to the fact that the saturation of a given quantity of a base requires such relative quantities of different acids as are capable of saturating every other base. having taken two neutral salts--for example, sodium sulphate and calcium nitrate--let us mix their solutions together. double decomposition takes place, because calcium sulphate is formed, which is almost insoluble. however much we might add of each of the salts, the neutral reaction will still be preserved, consequently the neutral character of the salts is not destroyed by the interchange of metals; that is to say, that quantity of sulphuric acid which saturated the sodium is sufficient for the saturation of the calcium, and that amount of nitric acid which saturated the calcium is enough to saturate the sodium contained in combination with sulphuric acid in sodium sulphate. wenzel was even convinced that matter does not disappear in nature, and on this principle he corrects, in his _doctrine of affinity_, the results of his experiments when he found that he obtained less than he had originally taken. although wenzel deduced the law of the double decomposition of salts quite correctly, he did not determine those quantities in which acids and bases act on each other. this was carried out at the end of the last century by richter. he determined the quantities by weight of the bases which saturate acids and of the acids which saturate bases, and obtained comparatively correct results, although his conclusions were not correct, for he states that the quantity of a base saturating a given acid varies in arithmetical progression, and the quantity of an acid saturating a given base in geometrical progression. richter studied the deposition of metals from their salts by other metals, and observed that the neutral reaction of the solution is not destroyed by this exchange. he also determined the quantities by weight of the metals replacing one another in salts. he showed that copper displaces silver from its salt, and that zinc displaces copper and a whole series of other metals. those quantities of metals which were capable of replacing one another were termed equivalents. richter's teaching found no followers, because, although he fully believed in the discoveries of lavoisier, yet he still held to the phlogistic reasonings which rendered his expositions very obscure. the works of the swedish savant berzelius freed the facts discovered by wenzel and richter from the obscurity of former conceptions, and led to their being explained in accordance with lavoisier's views, and in the sense of the law of multiple proportions which had already been discovered by dalton. on applying to salts those conclusions which berzelius arrived at by a whole series of researches of remarkable accuracy, we arrive at the following law of equivalents--_one part by weight of hydrogen in an acid is replaced by the corresponding equivalent weight of any metal_; and, therefore, when metals replace each other their weights are in the same ratio as their equivalents. thus, for instance, one part by weight of hydrogen is replaced by parts of sodium, parts of potassium, parts of magnesium, parts of calcium, parts of iron, parts of silver, parts of zinc, &c.; and, therefore, if zinc replaces silver, then parts of zinc will take the place of parts of silver, or parts of zinc will he substituted by parts of sodium, &c. the doctrine of equivalents would be precise and simple did every metal only give one oxide or one salt. it is rendered complicated from the fact that many metals form several oxides, and consequently offer different equivalents in their different degrees of oxidation. for example, there are oxides containing iron in which its equivalent is --this is in the salts formed by the suboxide; and there is another series of salts in which the equivalent of iron equals - / --which contain less iron, and consequently more oxygen, and correspond with a higher degree of oxidation--ferric oxide. it is true that the former salts are easily formed by the direct action of metallic iron on acids, and the latter only by a further oxidation of the compound formed already; but this is not always so. in the case of copper, mercury, and tin, under different circumstances, salts are formed which correspond with different degrees of oxidation of these metals, and many metals have two equivalents in their different salts--that is, in salts corresponding with the different degrees of oxidation. thus it is impossible to endow every metal with one definite equivalent weight. hence the conception of equivalents, while playing an important part from an historical point of view, appears, with a fuller study of chemistry, to be but subordinate to a higher conception, with which we shall afterwards become acquainted. the fate of the theoretical views of chemistry was for a long time bound up with the history of salts. the clearest representation of this subject dates back to lavoisier, and was systematically developed by berzelius. this representation is called the _binary_ theory. all compounds, and especially salts, are represented as consisting of two parts. salts are represented as compounds of a basic oxide (a base) and an acid (that is, an anhydride of an acid, then termed an acid), whilst hydrates are represented as compounds of anhydrous oxides with water. such an expression was employed not only to denote the most usual method of formation of these substances (where it would be quite true), but also to express that internal distribution of the elements by which it was proposed to explain all the properties of these substances. copper sulphate was supposed to contain two most intimate component parts--copper oxide and sulphuric anhydride. this is an hypothesis. it arose from the so-called _electro-chemical hypothesis_, which supposed the two component parts to be held in mutual union, because one component (the anhydride of the acid) has electro-negative properties, and the other (the base in salts) electro-positive. the two parts are attracted together, like substances having opposite electrical charges. but as the decomposition of salts in a state of fusion by an electric current always gives a metal, that representation of the constitution and decomposition of salts called the _hydrogen theory_ of acids is nearer the truth than that which considers salts as made up of a base and an anhydride of an acid. but the hydrogen theory of acids is also a binary hypothesis, and does not contradict the electro-chemical hypothesis, but is rather a modification of it. the binary theory dates from rouelle and lavoisier, the electro-chemical aspect was zealously developed by berzelius, and the hydrogen theory of acids is due to davy and liebig. these hypothetical views simplified and generalised the study of a complicated subject, and served to support further arguments, but when salts were in question it was equally convenient to follow one or the other of these hypotheses. but these theories were brought to bear on all other substances, on all compound substances. those holding the binary and electro-chemical hypotheses searched for two anti-polar component parts, and endeavoured to express the process of chemical reactions by electro-chemical and similar differences. if zinc replaces hydrogen, they concluded that it is more electro-positive than hydrogen, whilst they forgot that hydrogen may, under different circumstances, displace zinc--for instance, at a red heat. chlorine and oxygen were considered as being of opposite polarity to hydrogen because they easily combine with it, nevertheless both are capable of replacing hydrogen, and, what is very characteristic, in the replacement of hydrogen by chlorine in carbon compounds not only does the chemical character often remain unaltered, but even the external form may remain unchanged, as laurent and dumas demonstrated. these considerations undermine the binary, and more especially the electro-chemical theory. an explanation of known reactions then began to be sought for not in the difference of the polarity of the different substances, but in the joint influences of all the elements on the properties of the compound formed. this is the reverse of the preceding hypothesis. this reversal was not, however, limited to the destruction of the tottering foundations of the preceding theory; it proposed a new doctrine, and laid the foundation for the modern course of our science. this doctrine may be termed the unitary theory--that is, it strictly acknowledges the joint influences of the elements in a compound substance, denies the existence of separate and contrary components in them, regards copper sulphate, for instance, as a strictly definite compound of copper, sulphur, and oxygen; then seeks for compounds which are analogous in their properties, and, placing them side by side, endeavours to express the influence of each element in determining the united properties of its compound. in the majority of cases it arrives at conclusions similar to those which are obtained by the above-mentioned hypotheses, but in certain special cases the conclusions of the unitary theory are in entire opposition to those of the binary theory and its corollaries. cases of this kind are most often met with in the consideration of compounds of a more complex nature than salts, especially organic compounds containing hydrogen. but it is not in this change from an artificial to a natural system, important as it is, that the chief service and strength of the unitary doctrine lies. by a simple review of the vast store of data regarding the reactions of typical substances, it succeeded from its first appearance in establishing a new and important law, it introduced a new conception into science--namely, the conception of molecules, with which we shall soon become acquainted. the deduction of the law and of the conception of molecules has been verified by facts in a number of cases, and was the cause of the majority of chemists of our times deserting the binary theory and accepting the unitary theory, which forms the basis of the present work. laurent and gerhardt must be considered as the founders of this doctrine. inasmuch as oxygen compounds predominate in nature, it should be expected from what has been said above, that salts, rather than acids or bases, would occur most frequently in nature, for these latter would always tend to combine forming salts, especially through the medium of the all-pervading water. and, as a matter of fact, salts are found everywhere in nature. they occur in animals and plants, although in but small quantity, because, as forming the last stage of chemical reaction, they are capable of only a few chemical transformations. and organisms are bodies in which a series of uninterrupted, varied, and active chemical transformations proceed, whilst salts, which only enter into double decompositions between each other, are little prone to such changes. but organisms always contain salts. thus, for instance, bones contain calcium phosphate, the juice of grapes potassium tartrate (cream of tartar), certain lichens calcium oxalate, and the shells of mollusca calcium carbonate, &c. as regards water and soil, portions of the earth in which the chemical processes are less active, they are full of salts. thus the waters of the oceans, and all others (chap. i.), abound in salts, and in the soil, in the rocks of the earth's crust, in the upheaved lavas, and in the falling meteorites the salts of silicic acid, and especially its double salts, predominate. saline substances also make up the composition of those limestones which often form mountain chains and whole thicknesses of the earth's strata, these consisting of calcium carbonate, caco_{ }. thus we have seen oxygen in a free state and in various compounds of different degrees of stability, from the unstable salts, like berthollet's salt and nitre, to the most stable silicon compounds, such as exist in granite. we saw an entirely similar gradation of stability in the compounds of water and of hydrogen. in all its aspects oxygen, as an element, or single substance, remains the same however varied its chemical states, just as a substance may appear in many different physical states of aggregation. but our notion of the immense variety of the chemical states in which oxygen can occur would not be completely understood if we did not make ourselves acquainted with it in the form in which it occurs in ozone and peroxide of hydrogen. in these it is most active, its energy seems to have increased. they illustrate fresh aspects of chemical correlations, and the variety of the forms in which matter can appear stand out clearly. we will therefore consider these two substances somewhat in detail. chapter iv ozone and hydrogen peroxide--dalton's law van marum, during the last century, observed that oxygen in a glass tube, when subjected to the action of a series of electric sparks, acquired a peculiar smell, and the property of combining with mercury at the ordinary temperature. this was afterwards confirmed by a number of fresh experiments. even in the simple revolution of an electrical machine, when electricity diffuses into the air or passes through it, the peculiar and characteristic smell of ozone, proceeding from the action of the electricity on the oxygen of the atmosphere, is recognised. in prof. schönbein, of basle, turned his attention to this odoriferous substance, and showed that it is also formed, with the oxygen evolved at the positive pole, in the decomposition of water by the action of a galvanic current; in the oxidation of phosphorus in damp air, and also in the oxidation of a number of substances, although it is distinguished for its instability and capacity for oxidising other substances. the characteristic smell of this substance gave it its name, from the greek [greek: ozô], 'i emit an odour.' schönbein pointed out that _ozone_ is capable of oxidising many substances on which oxygen does not act at the ordinary temperature. it will be sufficient to point out for instance that it oxidises silver, mercury, charcoal, and iron with great energy at the ordinary temperature. it might be thought that ozone was some new compound substance, as it was at first supposed to be; but careful observations made in this direction have long led to the conclusion that ozone is nothing but oxygen altered in its properties. this is most strikingly proved by the complete transformation of oxygen containing ozone into ordinary oxygen when it is passed through a tube heated to °. further, at a low temperature pure oxygen gives ozone when electric sparks are passed through it (marignac and de la rive). hence it is proved both by synthesis and analysis that ozone is that same oxygen with which we are already acquainted, only endowed with particular properties and in a particular state. however, by whatever method it be obtained, the amount of it contained in the oxygen is inconsiderable, generally only a few fractions per cent., rarely per cent., and only under very propitious circumstances as much as per cent. the reason of this must be looked for first in the fact that _ozone in its formation from oxygen absorbs heat_. if any substance be burnt in a calorimeter at the expense of ozonised oxygen, then more heat is evolved than when it is burnt in ordinary oxygen, and berthelot showed that this difference is very large--namely, , heat units correspond with every forty-eight parts by weight of ozone. this signifies that the transformation of forty-eight parts of oxygen into ozone is accompanied by the absorption of this quantity of heat, and that the reverse process evolves this quantity of heat. therefore the passage of ozone into oxygen should take place easily and fully (as an exothermal reaction), like combustion; and this is proved by the fact that at ° ozone entirely disappears, forming oxygen. any rise of temperature may thus bring about the breaking up of ozone, and as a rise of temperature takes place in the action of an electrical discharge, there are in an electric discharge the conditions both for the preparation of ozone and for its destruction. hence it is clear that the transformation of oxygen into ozone _as a reversible reaction_ has a limit when a state of equilibrium is arrived at between the products of the two opposite reactions, that the phenomena of this transformation accord with the phenomena of _dissociation_, and that a fall of temperature should aid the formation of a large quantity of ozone.[ ] further, it is evident, from what has been said, that the best way of preparing ozone is not by electric sparks,[ ] which raise the temperature, but by the employment of a continual discharge or flow of electricity--that is, by the action of a _silent discharge_.[ ] for this reason all _ozonisers_ (which are of most varied construction), or forms of apparatus for the preparation of ozone from oxygen (or air) by the action of electricity, now usually consist of sheets of metal--for instance, tinfoil--a solution of sulphuric acid mixed with chromic acid, &c. separated by thin glass surfaces placed at short distances from each other, and between which the oxygen or air to be ozonised is introduced and subjected to the action of a silent discharge.[ ] thus in siemens' apparatus (fig. ) the exterior of the tube _a_ and the interior of the tube _b c_ are coated with tinfoil and connected with the poles of a source of electricity (with the terminals of a ruhmkorff's coil). a silent discharge passes through the thin walls of the glass cylinders _a_ and _b c_ over all their surfaces, and consequently, if oxygen be passed through the apparatus by the tube _d_, fused into the side of _a_, it will be ozonised in the annular space between _a_ and _b c_. the ozonised oxygen escapes by the tube _e_, and may be introduced into any other apparatus.[ ] [illustration: fig. .--siemens' apparatus for preparing ozone by means of a silent discharge.] [ ] this conclusion, deduced by me as far back as (_moniteur scientifique_) by conceiving the molecules of ozone (see later) as more complex than those of oxygen, and ozone as containing a greater quantity of heat than oxygen, has been proved experimentally by the researches of mailfert ( ), who showed that the passage of a silent discharge through a litre of oxygen at ° may form up to milligrams of ozone, and at - ° up to milligrams; but best of all in the determinations of chappuis and hautefeuille ( ), who found that at a temperature of - ° a silent discharge converted p.c. of oxygen into ozone, whilst at ° it was impossible to obtain more than p.c., and at ° less than p.c. of ozone was obtained. [ ] a series of electric sparks may be obtained by an ordinary electrical machine, the electrophorus machines of holtz and teploff, &c., leyden jars, ruhmkorff coils, or similar means, when the opposite electricities are able to accumulate at the terminals of conductors, and a discharge of sufficient electrical intensity passes through the non-conductors air or oxygen. [ ] a silent discharge is such a combination of opposite statical (potential) electricities as takes place (generally between large surfaces) regularly, without sparks, slowly, and quietly (as in the dispersion of electricity). the discharge is only luminous in the dark; there is no observable rise of temperature, and therefore a larger amount of ozone is formed. but, nevertheless, on continuing the passage of a silent discharge through ozone it is destroyed. for the action to be observable a large surface is necessary, and consequently a source of electricity at a high potential. for this reason the silent discharge is best produced by a ruhmkorff coil, as the most convenient means of obtaining a considerable potential of statical electricity with the employment of the comparatively feeble current of a galvanic battery. [ ] _v. babo's apparatus_ was one of the first constructed for ozonising oxygen by means of a silent discharge (and it is still one of the best). it is composed of a number (twenty and more) of long, thin capillary glass tubes closed at one end. a platinum wire, extending along their whole length, is introduced into the other end of each tube, and this end is then fused up round the wire, the end of which protrudes outside the tube. the protruding ends of the wires are arranged alternately in two sides in such a manner that on one side there are ten closed ends and ten wires. a bunch of such tubes (forty should make a bunch of not more than c.m. diameter) is placed in a glass tube, and the ends of the wires are connected with two conductors, and are fused to the ends of the surrounding tube. the discharge of a ruhmkorff coil is passed through these ends of the wires, and the dry air or oxygen to be ozonised is passed through the tube. if oxygen be passed through, ozone is obtained in large quantities, and free from oxides of nitrogen, which are partially formed when air is acted on. at low temperatures ozone is formed in large quantities. as ozone acts on corks and india-rubber, the apparatus should be made entirely of glass. with a powerful ruhmkorff coil and forty tubes the ozonation is so powerful that the gas when passed through a solution of iodide of potassium not only sets the iodine free, but even oxidises it to potassium iodate, so that in five minutes the gas-conducting tube is choked up with crystals of the insoluble iodate. [ ] in order to connect the ozoniser with any other apparatus it is impossible to make use of india-rubber, mercury, or cements, &c., because they are themselves acted on by, and act on, ozone. all connections must, as was first proposed by brodie, be hermetically closed by sulphuric acid, which is not acted on by ozone. thus, a cork is passed over the vertical end of a tube, over which a wide tube passes so that the end of the first tube protrudes above the cork; mercury is first poured over the cork (to prevent its being acted on by the sulphuric acid), and then sulphuric acid is poured over the mercury. the protruding end of the first tube is covered by the lower end of a third tube immersed in the sulphuric acid. _the properties of ozone_ obtained by such a method[ ] distinguish it in many respects from oxygen. ozone very rapidly decolorises indigo, litmus, and many other dyes by oxidising them. silver is oxidised by it at the ordinary temperature, whilst oxygen is not able to oxidise silver even at high temperatures; a bright silver plate rapidly turns black (from oxidation) in ozonised oxygen. it is rapidly absorbed by mercury, forming oxide; it transforms the lower oxides into higher--for instance, sulphurous anhydride into sulphuric, nitrous oxide into nitric, arsenious anhydride (as_{ }o_{ }) into arsenic anhydride (as_{ }o_{ }) &c.[ ] but what is especially characteristic in ozone is the decomposing action it exerts on potassium iodide. oxygen does not act on it, but ozone passed into a solution of potassium iodide _liberates iodine_, whilst the potassium is obtained as caustic potash, which remains in solution, ki + h_{ }o + o = kho + i_{ }. as the presence of minute traces of free iodine may be discovered by means of starch paste, with which it forms a very dark blue-coloured substance, a mixture of potassium iodide with starch paste will detect the presence of very small traces of ozone.[ ] ozone is destroyed or converted into ordinary oxygen not only by heat, but also by long keeping, especially in the presence of alkalis, peroxide of manganese, chlorine, &c. [ ] the method above described is the only one which has been well investigated. the admixture of nitrogen, or even of hydrogen, and especially of silicon fluoride, appears to aid the formation and preservation of ozone. amongst other methods for preparing ozone we may mention the following: . in the action of oxygen on phosphorus at the ordinary temperature a portion of the oxygen is converted into ozone. at the ordinary temperature a stick of phosphorus, partially immersed in water and partially in air in a large glass vessel, causes the air to acquire the odour of ozone. it must further be remarked that if the air be left for long in contact with the phosphorus, or without the presence of water, the ozone formed is destroyed by the phosphorus. . by the action of sulphuric acid on peroxide of barium. if the latter be covered with strong sulphuric acid (the acid, if diluted with only one-tenth of water, does not give ozone), then at a low temperature the oxygen evolved contains ozone, and in much greater quantities than in that ozone is obtained by the action of electric sparks or phosphorus. . ozone may also be obtained by decomposing strong sulphuric acid by potassium manganate especially with the addition of barium peroxide. [ ] ozone takes up the hydrogen from hydrochloric acid; chlorine is liberated, and can dissolve gold. iodine is directly oxidised by ozone, but not by oxygen. ammonia, nh_{ }, is oxidised by ozone into ammonium nitrite (and nitrate), nh_{ } + o_{ } = nh_{ }no_{ } + h_{ }o, and therefore a drop of ammonia, on falling into the gas, gives a thick cloud of the salts formed. ozone converts lead oxide into peroxide, and suboxide of thallium (which is colourless) into oxide (which is brown), so that this reaction is made use of for detecting the presence of ozone. lead sulphide, pbs (black), is converted into sulphate, pbso_{ } (colourless), by ozone. a neutral solution of manganese sulphate gives a precipitate of manganese peroxide, and an acid solution may be oxidised into permanganic acid, hmno_{ }. with respect to the oxidising action of ozone on organic substances, it may be mentioned that with ether, c_{ }h_{ }o, ozone gives ethyl peroxide, which is capable of decomposing with explosion (according to berthelot), and is decomposed by water into alcohol, c_{ }h_{ }o, and hydrogen peroxide, h_{ }o_{ }. [ ] this reaction is the one usually made use of for detecting the presence of ozone. in the majority of cases paper is soaked in solutions of potassium iodide and starch. such _ozonometrical_ or iodised starch-paper when damp turns blue in the presence of ozone, and the tint obtained varies considerably, according to the length of time it is exposed and to the amount of ozone present. the amount of ozone in a given gas may even to a certain degree he judged by the shade of colour acquired by the paper, if preliminary tests be made. test-paper for ozone is prepared in the following manner:--one gram of neutral potassium iodide is dissolved in grams of distilled water; grams of starch are then shaken up in the solution, and the mixture is boiled until the starch is converted into a jelly. this jelly is then smeared over blotting-paper and left to dry. it must always he remembered, however, that the colour of iodised starch-paper is changed not only by the action of ozone, but of many other oxidisers; for example, by the oxides of nitrogen (especially n_{ }o_{ }) and hydrogen peroxide. houzeau proposed soaking common litmus-paper with a solution of potassium iodide, which in the presence of iodine would turn blue, owing to the formation of kho. in order to determine if the blue colour is not produced by an alkali (ammonia) in the gas, a portion of the paper is not soaked in the potassium iodide, but moistened with water; this portion will then also turn blue if ammonia be present. a reagent for distinguishing ozone from hydrogen peroxide with certainty is not known, and therefore these substances in very small quantities (for instance, in the atmosphere) may easily he confounded. until recent years the mistake has frequently been made of ascribing the alteration of iodised starch-paper in the air to the presence of ozone; at the present time there is reason to believe that it is most often due to the presence of nitrous acid (ilosva, ). hence _ozone_, although it has the same _composition as oxygen_, differs from it in stability, and by the fact that it oxidises a number of substances very energetically at the ordinary temperature. in this respect ozone resembles the oxygen of certain unstable compounds, or oxygen at the moment of its liberation.[ bis] [ bis] fluorine (chap. xi.), acting upon water at the ordinary temperature, takes up the hydrogen, and evolves the oxygen in the form of ozone (moissan, ), and therefore the reaction must be expressed thus:-- h_{ }o + f_{ } = hf + o_{ }. in ordinary oxygen and ozone we see an example of one and the same substance, in this case an element, appearing in two states. this indicates that the properties of a substance, and even of an element, may vary without its composition varying. very many such cases are known. such cases of a chemical transformation which determine a difference in the properties of one and the same element are termed cases of isomerism. the cause of isomerism evidently lies deep within the essential conditions of a substance, and its investigation has already led to a number of results of unexpected importance and of immense scientific significance. it is easy to understand the difference between substances containing different elements or the same elements in different proportions. that a difference should exist in these cases necessarily follows, if, as our knowledge compels us, we admit that there is a radical difference in the simple bodies or elements. but when the composition--_i.e._ the quality and quantity of the elements in two substances is the same and yet their properties are different, then it becomes clear that the conceptions of diverse elements and of the varying composition of compounds, alone, are insufficient for the expression of all the diversity of properties of matter in nature. something else, still more profound and internal than the composition of substances, must, judging from isomerism, determine the properties and transformation of substances. on what are the isomerism of ozone and oxygen, and the peculiarities of ozone, dependent? in what, besides the extra store of energy, which is one of the peculiarities of ozone, resides the cause of its difference from oxygen? these questions for long occupied the minds of investigators, and were the motive for the most varied, exact, and accurate researches, which were chiefly directed to the study of the volumetric relations exhibited by ozone. in order to acquaint the reader with the previous researches of this kind, i cite the following from a memoir by soret, in the 'transactions of the french academy of sciences' for : 'our present knowledge of the volumetric relations of ozone may be expressed in the following manner: ' . "ordinary oxygen in changing into ozone under the action of electricity shows a diminution in volume." this was discovered by andrews and tait. ' . "in acting on ozonised oxygen with potassium iodide and other substances capable of being oxidised, we destroy the ozone, but the volume of the gas remains unchanged." for the researches of andrews, soret, v. babo, and others showed that the proportion of ozonised oxygen absorbed by the potassium iodide is equal to the original contraction of volume of the oxygen--that is, in the absorption of the ozone the volume of the gas remains unchanged. from this it might be imagined that ozone, so to say, does not occupy any space--is indefinitely dense. ' . "by the action of heat ozonised oxygen increases in volume, and is transformed into ordinary oxygen. this increase in volume corresponds with the quantity of ozonised oxygen which is given up to the potassium iodide in its decomposition" (the same observers). ' . these unquestionable experimental results lead to the conclusion that ozone is denser than oxygen, and that in its oxidising action it gives off that portion of its substance to which is due its extra density distinguishing it from ordinary oxygen.' if we imagine (says weltzien) that _n_ volumes of ozone consist of _n_ volumes of oxygen combined with _m_ volumes of the same substance, and that ozone in oxidising gives up _m_ volumes of oxygen and leaves _n_ volumes of ordinary oxygen gas, then all the above facts can be explained; otherwise it must be supposed that ozone is infinitely dense. 'in order to determine the density of ozone' (we again cite soret) 'recourse cannot be had to the direct determination of the weight of a given volume of the gas, because ozone cannot be obtained in a pure state. it is always mixed with a very large quantity of oxygen. it was necessary, therefore, to have recourse to such substances as would absorb ozone without absorbing oxygen and without destroying the ozone. then the density might be deduced from the decrease of volume produced in the gas by the action of this solvent in comparison with the quantity of oxygen given up to potassium iodide. advantage must also be taken of the determination of the increase of volume produced by the action of heat on ozone, if the volume occupied by the ozone before heating be known.' soret found two such substances, turpentine and oil of cinnamon. 'ozone disappears in the presence of turpentine. this is accompanied by the appearance of a dense vapour, which fills a vessel of small capacity ( · litre) to such an extent that it is impenetrable to direct solar-rays. on leaving the vessel at rest, it is observed that the cloud of vapour settles; the clearing is first remarked at the upper portion of the vessel, and the brilliant colours of the rainbow are seen on the edge of a cloud of vapour.' oil of cinnamon--that is, the volatile or essential oil of the well-known spice, cinnamon--gives under similar circumstances the same kind of vapours, but they are much less voluminous. on measuring the gaseous volume before and after the action of both volatile oils, a considerable decrease is remarked. on applying all the necessary corrections (for the solubility of oxygen in the oily liquids named above, for the tension of their vapour, for the change of pressure, &c.) and making a series of comparative determinations, soret obtained the following result: two volumes of ozone capable of being dissolved, when changed to ordinary (by heating a wire to a red-heat by a galvanic current) increase by one volume. hence it is evident that in the formation of ozone three volumes of oxygen give two volumes of ozone--that is, its density (referred to hydrogen) = . the observations and determinations of soret showed that ozone is heavier than oxygen, and even than carbonic anhydride (because ozonised oxygen passes through fine orifices more slowly than oxygen and than its mixtures with carbonic anhydride), although lighter than chlorine (it flows more rapidly through such orifices than chlorine), and they indicated that _ozone is one and a half times denser than oxygen_, which may be expressed by designating a molecule of oxygen by o_{ } and of ozone by o_{ }, and hence ozone oo_{ } is comparable with compound substances[ ] formed by oxygen, as for instance co_{ }, so_{ }, no_{ }, &c. this explains the chief differences between ozone and oxygen and the cause of the isomerism, and at the same time leads one to expect[ ] that ozone, being a gas which is denser than oxygen, would be liquefied much more easily. this was actually shown to be the case in , by chappuis and hautefeuille in their researches on the _physical properties of ozone_. its boiling point under a pressure of mm. is about - °, and consequently compressed and refrigerated ozone when rapidly expanded forms drops, _i.e._ is liquefied. liquid and compressed[ ] ozone is blue. in dissolving in water ozone partly passes into oxygen. it explodes violently when suddenly compressed and heated, changing into ordinary oxygen and evolving, like all explosive substances,[ ] that extra heat which distinguishes it from oxygen. [ ] ozone is, so to say, an oxide of oxygen, just as water is an oxide of hydrogen. just as aqueous vapour is composed of two volumes of hydrogen and one volume of oxygen, which on combining condense into two volumes of aqueous vapour, so also two volumes of oxygen are combined in ozone with one volume of oxygen to give two volumes of ozone. in the action of ozone on different substances it is only that additional portion of its molecule by which it differs from ordinary oxygen that combines with other bodies, and that is why, under these circumstances, the volume of the ozonised oxygen does not change. starting with two volumes of ozone, one-third of its weight is parted with, and two volumes of oxygen remain. the above observations of soret on the capacity of turpentine for dissolving ozone, together with schönbein's researches on the formation of ozone in the oxidation of turpentine and of similar volatile vegetable oils (entering into the composition of _perfumes_), also explain the action of this ethereal oil on a great many substances. it is known that turpentine oil, when mixed with many substances, promotes their oxidation. in this case it probably not only itself promotes the formation of ozone, but also dissolves ozone from the atmosphere, and thus acquires the property of oxidising many substances. it bleaches linen and cork, decolorises indigo, promotes the oxidation and hardening of boiled linseed oil, &c. these properties of turpentine oil are made use of in practice. dirty linen and many stained materials are easily cleaned by turpentine, not only because it dissolves the grease, but also because it oxidises it. the admixture of turpentine with drying (boiled) oil, oil-colours, and lacs aids their rapid drying because it attracts ozone. various oils occurring in plants, and entering into the composition of perfumes and certain scent extracts, also act as oxidisers. they act in the same manner as oil of turpentine and oil of cinnamon. this perhaps explains the refreshing influence they have in scents and other similar preparations, and also the salubrity of the air of pine forests. water upon which a layer of turpentine oil has been poured acquires, when left standing in the light, the disinfecting and oxidising properties in general of ozonised turpentine (is this due to the formation of h_{ }o_{ }?). [ ] the densest, most complex, and heaviest particles of matter should, under equal conditions, evidently be less capable of passing into a state of gaseous motion, should sooner attain a liquid state, and have a greater cohesive force. [ ] the blue colour proper to ozone may be seen through a tube one metre long, filled with oxygen, containing p.c. of ozone. the density of liquid ozone has not, so far as i am aware, been determined. [ ] all explosive bodies and mixtures (gunpowder, detonating gas, &c.) evolve heat in exploding--that is, the reactions which accompany explosions are exothermal. in this manner ozone in decomposing evolves latent heat, although generally heat is absorbed in decomposition. this shows the meaning and cause of explosion. thus, judging by what has been said above, ozone should he formed in nature not only in the many processes of oxidation which go on, but also by the condensation of atmospheric oxygen. the significance of ozone in nature has often arrested the attention of observers. there is a series of ozonometrical observations which show the different amounts of ozone in the air at different localities, at different times of the year, and under different circumstances. but the observations made in this direction cannot be considered as sufficiently exact, because the methods in use for determining ozone were not quite accurate. it is however indisputable[ ] that the amount of ozone in the atmosphere is subject to variation; that the air of dwellings contains no ozone (it disappears in oxidising organic matter); that the air of fields and forests always contains ozone, or substances (peroxide of hydrogen) which act like it (on iodised starch paper &c.)[ bis]; that the amount of ozone increases after storms; and that miasms, &c., are destroyed by ozonising the atmosphere. it easily oxidises organic substances, and miasms are produced by organic substances and the germs of organisms, all of which are easily changed and oxidised. indeed, many miasms--for instance, the volatile substance of decomposing organisms--are clearly destroyed or changed not only by ozone, but also by many other powerfully oxidising substances, such as chlorine water, potassium permanganate, and the like.[ ] all that is now known respecting the presence of ozone in the air may be summed up in the following words: a small quantity of an oxidising substance, resembling ozone in its reactions, has undoubtedly been observed and determined in the atmosphere, especially in fresh air, for instance after a storm, and it is very likely that this substance contains a mixture of such oxidising substances as ozone, peroxide of hydrogen, and the lower oxides of nitrogen (especially nitrous acid and its ammonia salt) produced from the elements of the atmosphere by oxidation and by the action of electrical discharges. [ ] in paris it has been found that the further from the centre of the town the greater the amount of ozone in the air. the reason of this is evident: in a city there are many conditions for the destruction of ozone. this is why we distinguish country air as being fresh. in spring the air contains more ozone than in autumn; the air of fields more than the air of towns. [ bis] the question of the presence of ozone in the air has not yet been fully elucidated, as those reactions by which ozone is generally detected are also common to nitrous acid (and its ammonia salt). ilosvay de ilosva ( ), in order to exclude the influence of such bodies, passed air through a per cent. solution of caustic soda, and then through a per cent. solution of sulphuric acid (these solutions do not destroy ozone), and tested the air thus purified for the presence of ozone. as no ozone was then detected the author concludes that all the effects which were formerly ascribed to ozone should be referred to nitrous acid. but this conclusion requires more careful verification, since the researches of prof. schönbein on the presence of peroxide of hydrogen in the atmosphere. [ ] the oxidising action of ozone may be taken advantage of for technical purposes; for instance, for destroying colouring matters. it has even been employed for bleaching tissues and for the rapid preparation of vinegar, although these methods have not yet received wide application. thus in ozone we see ( ) the capacity of elements (and it must be all the more marked in compounds) of changing in properties without altering in composition; this is termed isomerism;[ ] ( ) the capacity of certain elements for condensing themselves into molecules of different densities; this forms a special case of isomerism called _polymerism_; ( ) the capacity of oxygen for appearing in a still more active and energetic chemical state than that in which it occurs in ordinary gaseous oxygen; and ( ) the formation of unstable equilibria, or chemical states, which are illustrated both by the ease with which ozone acts as an oxidiser and by its capacity for decomposing with explosion.[ ] [ ] isomerism in elements is termed _allotropism_. [ ] a number of substances resemble ozone in one or other of these respects. thus cyanogen, c_{ }n_{ }, nitrogen chloride, &c., decompose with an explosion and evolution of heat. nitrous anhydride, n_{ }o_{ }, forms a blue liquid like ozone, and in a number of cases oxidises like ozone. _hydrogen peroxide._--many of those properties which we have seen in ozone belong also to a peculiar substance containing oxygen and hydrogen and called hydrogen peroxide or oxygenated water. this substance was discovered in by thénard. when heated it is decomposed into water and oxygen, evolving as much oxygen as is contained in the water remaining after the decomposition. that portion of oxygen by which hydrogen peroxide differs from water behaves in a number of cases just like the active oxygen in ozone, which distinguishes it from ordinary oxygen. in h_{ }o_{ }, and in o_{ }, one atom of oxygen acts as a powerful oxidiser, and on separating out it leaves h_{ }o or o_{ }, which do not act so energetically, although they still contain oxygen.[ ] both h_{ }o_{ } and o_{ } contain the oxygen in a compressed state, so to speak, and when freed from pressure by the forces (internal) of the elements in another substance, this oxygen is easily evolved, and therefore acts as oxygen does at the moment of its liberation. both substances in decomposing, with the separation of a portion of their oxygen, _evolve_ heat, whilst decomposition is usually accompanied by an absorption of heat. [ ] it is evident that there is a want of words here for distinguishing oxygen, o, as an ultimate _element_, from oxygen, o_{ }, as a _free element_. the latter should be termed oxygen gas, did not custom and the length of the expression render it inconvenient. hydrogen peroxide is formed under many circumstances by combustion and oxidation, but in very limited quantities; thus, for instance, it is sufficient to shake up zinc with sulphuric acid, or even with water, to observe the formation of a certain quantity of hydrogen peroxide in the water.[ ] from this cause, probably, a series of diverse oxidation processes are accomplished in nature, and according to prof. schöne of moscow, hydrogen peroxide occurs in the atmosphere, although in variable and small quantities, and probably its formation is connected with ozone, with which it has much in common. the usual mode of the formation of hydrogen peroxide, and the method by which it may be indirectly obtained,[ ] is by the double decomposition of an acid and the peroxides of certain metals, especially those of potassium, calcium, and barium.[ ] we saw when speaking of oxygen (chap. iii.) that it is only necessary to heat the anhydrous oxide of barium to a red heat in a current of air or oxygen (or, better still, to heat it with potassium chlorate, and then to wash away the potassium chloride formed) to obtain peroxide of barium.[ ] barium peroxide gives hydrogen peroxide by the action of acids in the cold.[ ] the process of decomposition is very clear in this case; the hydrogen of the acid replaces the barium of the peroxide, a barium salt of the acid being formed, while the hydrogen peroxide formed in the reaction remains in solution.[ ] [ ] schönbein states that the formation of hydrogen peroxide is to be remarked in every oxidation in water or in the presence of aqueous vapour. according to struve, hydrogen peroxide is contained in snow and in rain-water, and its formation, together with ozone and ammonium nitrate, is even probable in the processes of respiration and combustion. a solution of tin in mercury, or liquid tin amalgam, when shaken up in water containing sulphuric acid, produces hydrogen peroxide, whilst iron under the same circumstances does not give rise to its formation. the presence of small quantities of hydrogen peroxide in these and similar cases is recognised by many reactions. amongst them, its action on _chromic acid_ in the presence of ether is very characteristic. hydrogen peroxide converts the chromic acid into a higher oxide, cr_{ }o_{ }, which is of a dark-blue colour and dissolves in ether. this ethereal solution is to a certain degree stable, and therefore the presence of hydrogen peroxide may be recognised by mixing the liquid to be tested with ether and adding several drops of a solution of chromic acid. on shaking the mixture the ether dissolves the higher oxide of chromium which is formed, and acquires a blue colour. the formation of hydrogen peroxide in the combustion and oxidation of substances containing or evolving hydrogen must be understood in the light of the conception, to be considered later, of molecules occupying equal volumes in a gaseous state. at the moment of its evolution a molecule h_{ } combines with a molecule o_{ }, and gives h_{ }o_{ }. as this substance is unstable, a large proportion of it is decomposed, a small amount only remaining unchanged. if it is obtained, water is easily formed from it; this reaction evolves heat, and the reverse action is not very probable. direct determinations show that the reaction h_{ }o_{ } = h_{ }o + o evolves , heat units. from this it will be understood how easy is the decomposition of hydrogen peroxide, as well as the fact that a number of substances which are not directly oxidised by oxygen are oxidised by hydrogen peroxide and by ozone, which also evolves heat on decomposition. such a representation of the origin of hydrogen peroxide has been developed by me since . recently ( ) traube has pronounced a similar opinion, stating that zn under the action of water and air gives, besides znh_{ }o_{ }, also h_{ }o_{ }. [ ] the formation of hydrogen peroxide from barium peroxide by a method of double decomposition is an instance of a number of _indirect methods of preparation_. a substance a does not combine with b, but a b is obtained from a c in its action on b d (see introduction) when c d is formed. water does not combine with oxygen, but as a hydrate of acids it acts on the compound of oxygen with barium oxide, because this oxide gives a salt with an acid anhydride; or, what is the same thing, hydrogen with oxygen does not directly form hydrogen peroxide, but when combined with a haloid (for example, chlorine), under the action of barium peroxide, bao_{ }, it leads to the formation of a salt of barium and h_{ }o_{ }. it is to be remarked that the passage of barium oxide, bao, into the peroxide, bao_{ }, is accompanied by the _evolution_ of , heat units per parts of oxygen by weight combined, and the passage of h_{ }o into the peroxide h_{ }o_{ } does not proceed directly, because it would be accompanied by the _absorption_ of , units of heat by parts by weight of oxygen combined. barium peroxide, in acting on an acid, evidently evolves less heat than the oxide, and it is this difference of heat that is absorbed in the hydrogen peroxide. its energy is obtained from that evolved in the formation of the salt of barium. [ ] peroxides of lead and manganese, and other analogous peroxides (see chap. iii., note ), do not give hydrogen peroxide under these conditions, but yield chlorine with hydrochloric acid. [ ] the impure barium peroxide obtained in this manner may be easily purified. for this purpose it is dissolved in a dilute solution of nitric acid. a certain quantity of an insoluble residue always remains, from which the solution is separated by filtration. the solution will contain not only the compound of the barium peroxide, but also a compound of the barium oxide itself, a certain quantity of which always remains uncombined with oxygen. the acid compounds of the peroxide and oxide of barium are easily distinguishable by their stability. the peroxide gives an unstable compound, and the oxide a stable salt. by adding an aqueous solution of barium oxide to the resultant solution, the whole of the peroxide contained in the solution may be precipitated as a pure aqueous compound (kouriloff, , obtained the same result by adding an excess of bao_{ }). the first portions of the precipitate will consist of impurities--for instance, oxide of iron. the barium peroxide then separates out, and is collected on a filter and washed; it forms a substance having a definite composition, bao_{ }, h_{ }o, and is very pure. pure hydrogen peroxide should always be prepared from such purified barium peroxide. [ ] in the cold, strong sulphuric acid with barium peroxide gives ozone; when diluted with a certain amount of water it gives oxygen (see note ), and hydrogen peroxide is only obtained by the action of very weak sulphuric acid. hydrochloric, hydrofluoric, carbonic, and hydrosilicofluoric acids, and others, when diluted with water also give hydrogen peroxide with barium peroxide. professor schöne, who very carefully investigated hydrogen peroxide, showed that it is formed by the action of many of the above-mentioned acids on barium peroxide. in preparing peroxide of hydrogen by means of sulphuric acid, the solution must be kept cold. a solution of maximum concentration may be obtained by successive treatments with sulphuric acid of increasing strength. in this manner a solution containing to grams of pure peroxide in c.c. of water may be obtained (v. kouriloff). [ ] with the majority of acids, that salt of barium which is formed remains in solution; thus, for instance, by employing hydrochloric acid, hydrogen peroxide and barium chloride remain in solution. complicated processes would be required to obtain pure hydrogen peroxide from such a solution. it is much more convenient to take advantage of the action of carbonic anhydride on the pure hydrate of barium peroxide. for this purpose the hydrate is stirred up in water, and a rapid stream of carbonic anhydride is passed through the water. barium carbonate, insoluble in water, is formed, and the hydrogen peroxide remains in solution, so that it may be separated from the carbonate by filtering only. on a large scale hydrofluosilicic acid is employed, its barium salt being also insoluble in water. the reaction is expressed by the equation bao_{ } + h_{ }so_{ } = h_{ }o_{ } + baso_{ }. it is best to take a weak cold solution of sulphuric acid and to almost saturate it with barium peroxide, so that a small excess of acid remains; insoluble barium sulphate is formed. a more or less dilute aqueous solution of hydrogen peroxide is obtained. this solution may be concentrated in a vacuum over sulphuric acid. in this way the water may even be entirely evaporated from the solution of the hydrogen peroxide; only in this case it is necessary to work at a low temperature, and not to keep the peroxide for long in the rarefied atmosphere, as otherwise it decomposes.[ bis] a solution of peroxide of hydrogen (mixed with the solution of a salt of sodium nax) is used for bleaching (especially silk and wool) on a large scale, and is now usually prepared from peroxide of sodium na_{ }o_{ } by the action of acids. na_{ }o_{ } + hx = nax + h_{ }o_{ }[ ]. [ bis] hydrogen peroxide may be extracted from very dilute solutions by means of ether, which dissolves it, and when mixed with it the hydrogen peroxide may even be distilled. a solution of hydrogen peroxide in water may be strengthened by cooling it to a low temperature, when the water crystallises out--that is, is converted into ice--whilst the hydrogen peroxide remains in solution, as it only freezes at very low temperatures. it must be observed that hydrogen peroxide, in a strong solution in a pure state, is exceedingly unstable even at the ordinary temperature, and therefore it must be preserved in vessels always kept cold, as otherwise it evolves oxygen and forms water. [ ] peroxide of sodium (chap. xii., note ) is prepared by burning sodium in dry air. when pure, hydrogen peroxide is a colourless liquid, without smell, and having a very unpleasant taste--such as belongs to the salts of many metals--the so-called 'metallic' taste. water stored in zinc vessels has this taste, which is probably due to its containing hydrogen peroxide. the tension of the vapour of hydrogen peroxide is less than that of aqueous vapour; this enables its solutions to be concentrated in a vacuum. the specific gravity of anhydrous hydrogen peroxide is · . hydrogen peroxide decomposes, with the evolution of oxygen, when heated even to °. but the more dilute its aqueous solution the more stable it is. very weak solutions may be distilled without decomposing the hydrogen peroxide. it decolorises solutions of litmus and turmeric, and acts in a similar manner on many colouring matters of organic origin (for which reason it is employed for bleaching tissues).[ bis] [ bis] peroxide of hydrogen should apparently find an industrial application in the arts, for instance, ( ) as a bleaching agent, it having the important advantage over chloride of lime, so_{ }, &c., of not acting upon the material under treatment. it may be used for bleaching feathers, hair, silk, wool, wood, &c., it also removes stains of all kinds, such as wine, ink, and fruit stains; ( ) it destroys bacteria like ozone without having any injurious effect upon the human body. it can also be used for washing all kinds of wounds, for purifying the air in the sick room, &c., and ( ) as a preserving agent for potted meats, &c. _many substances decompose hydrogen peroxide_, forming water and oxygen, without apparently suffering any change. in this case substances in a state of fine division show a much quicker action than compact masses, from which it is evident that the action is here based on contact (_see_ introduction). it is sufficient to bring hydrogen peroxide into contact with charcoal, gold, the peroxide of manganese or lead, the alkalis, metallic silver, and platinum, to bring about the above decomposition.[ ] besides which, hydrogen peroxide forms water and parts with its oxygen with great ease to a number of substances which are capable of being oxidised or of combining with oxygen, and in this respect is very like ozone and other _powerful oxidisers_.[ ] to the class of contact phenomena, which are so characteristic of hydrogen peroxide as a substance which is unstable and easily decomposable with the evolution of heat, must be referred the following--that in the presence of many substances containing oxygen it evolves, not only its own oxygen, but also that of the substances which are brought into contact with it--that is, _it acts in a reducing manner_. it behaves thus with ozone, the oxides of silver, mercury, gold and platinum, and lead peroxide. the oxygen in these substances is not stable, and therefore the feeble influence of contact is enough to destroy its position. hydrogen peroxide, especially in a concentrated form, in contact with these substances, evolves an immense quantity of oxygen, so that an explosion takes place and an exceedingly powerful evolution of heat is observed if hydrogen peroxide in a concentrated form be made to drop upon these substances in dry powder. slow decomposition also proceeds in dilute solutions.[ ] [ ] as the result of careful research, certain of the _catalytic_ or contact phenomena have been subjected to exact explanation, which shows the participation of a substance present in the process of a reaction, whilst, however, it does not alter the series of changes proceeding from mechanical actions only. professor schöne, of the petroffsky academy, has already explained a number of reactions of hydrogen peroxide which previously were not understood. thus, for instance, he showed that with hydrogen peroxide, alkalis give peroxides of the alkaline metals, which combine with the remaining hydrogen peroxide, forming unstable compounds which are easily decomposed, and therefore alkalis evince a decomposing (catalytic) influence on solutions of hydrogen peroxide. only acid solutions of hydrogen peroxide, and then only dilute ones, can be preserved well. [ ] _hydrogen peroxide_, as a substance containing much oxygen (namely, parts to one part by weight of hydrogen), exhibits many _oxidising reactions_. thus, it oxidises arsenic, converts lime into calcium peroxide, the oxides of zinc and copper into peroxides; it parts with its oxygen to many sulphides, converting them into sulphates, &c. so, for example, it converts black lead sulphide, pbs, into white lead sulphate, pbso_{ }, copper sulphide into copper sulphate, and so on. the restoration of old oil paintings by hydrogen peroxide is based on this action. oil colours are usually admixed with white lead, and in many cases the colour of oil-paints becomes darker in process of time. this is partly due to the sulphuretted hydrogen contained in the air, which acts on white lead, forming lead sulphide, which is black. the intermixture of the black colour darkens the rest. in cleaning a picture with a solution of hydrogen peroxide, the black lead sulphide is converted into white sulphate, and the colours brighten owing to the disappearance of the black substance which previously darkened them. hydrogen peroxide oxidises with particular energy substances containing hydrogen and capable of easily parting with it to oxidising substances. thus it decomposes hydriodic acid, setting the iodine free and converting the hydrogen it contains into water; it also decomposes sulphuretted hydrogen in exactly the same manner, setting the sulphur free. starch paste with potassium iodide is not, however, directly coloured by peroxide of hydrogen in the entire absence of free acids; but the addition of a small quantity of iron sulphate (green vitriol) or of lead acetate to the mixture is enough to entirely blacken the paste. this is a very sensitive reagent (test) for peroxide of hydrogen, like the test with chromic acid and ether (_see_ note ). [ ] to explain the phenomenon, an hypothesis has been put forward by brodie, clausius, and schönbein which supposes ordinary oxygen to be an electrically neutral substance, composed, so to speak, of two electrically opposite kinds of oxygen--positive and negative. it is supposed that hydrogen peroxide contains one kind of such polar oxygen, whilst in the oxides of the above-named metals the oxygen is of opposite polarity. it is supposed that in the oxides of the metals the oxygen is electro-negative, and in hydrogen peroxide electro-positive, and that on the mutual contact of these substances ordinary neutral oxygen is evolved as a consequence of the mutual attraction of the oxygens of opposite polarity. brodie admits the polarity of oxygen in combination, but not in an uncombined state, whilst schönbein supposes uncombined oxygen to be polar also, considering ozone as electro-negative oxygen. the supposition that the oxygen of ozone is different from that of hydrogen peroxide is contradicted by the fact that in acting on barium peroxide strong sulphuric acid forms ozone, and dilute acid forms hydrogen peroxide. just as a whole series of metallic compounds, and especially the oxides and their hydrates, correspond with water, so also there are many substances analogous to hydrogen peroxide. thus, for instance, calcium peroxide is related to hydrogen peroxide in exactly the same way as calcium oxide or lime is related to water. in both cases the hydrogen is replaced by a metal--namely, by calcium.[ bis] but it is most important to remark that the nearest approach to the properties of hydrogen peroxide is afforded by a non-metallic element, chlorine; its action on colouring matters, its capacity for oxidising, and for evolving oxygen from many oxides, is analogous to that exhibited by hydrogen peroxide. even the very formation of chlorine is closely analogous to the formation of peroxide of hydrogen; chlorine is obtained from manganese peroxide, mno_{ }, and hydrochloric acid, hcl, and hydrogen peroxide from barium peroxide, bao_{ }, and the same acid. the result in one case is essentially water, chlorine, and manganese chloride; and in the other case barium chloride and hydrogen peroxide are produced. hence water + chlorine corresponds with hydrogen peroxide, and the action of chlorine in the presence of water is analogous to the action of hydrogen peroxide. this analogy between chlorine and hydrogen peroxide is expressed in the conception of an aqueous radicle, which (chapter iii.) has been already mentioned. _this aqueous radicle_ (or hydroxyl) is that which is left from water if it be imagined as deprived of half of its hydrogen. according to this method of expression, caustic soda will be a compound of sodium with the aqueous radicle, because it is formed from water with the evolution of half the hydrogen. this is expressed by the following formulæ: water, h_{ }o, caustic soda, naho, just as hydrochloric acid is hcl and sodium chloride nacl. hence the aqueous radicle ho is a compound radicle, just as chlorine, cl, is a simple radicle. they both give hydrogen compounds, hho, water, and hcl, hydrochloric acid; sodium compounds, naho and nacl, and a whole series of analogous compounds. free chlorine in this sense will be clcl, and hydrogen peroxide hoho, which indeed expresses its composition, because it contains twice as much oxygen as water does.[ ] [ bis] it should be mentioned that schiloff ( ) on taking a per cent. solution of h_{ }o_{ }, adding soda to it, and then extracting the peroxide of hydrogen from the mixture by shaking it with ether, obtained a per cent. solution of h_{ }o_{ }, which, although perfectly free from other acids, gave a distinctly acid reaction with litmus. and here attention should first of all be turned to the fact that the peroxides of the metals correspond to h_{ }o_{ }, like salts to an acid, for instance, na_{ }o_{ } and bao_{ }, &c. furthermore, it must be remembered that o is an analogue of s (chapters xv. and xx.), and sulphur gives h_{ }s, h_{ }so_{ }, and h_{ }so_{ }. and sulphurous acid, h_{ }so_{ }, is unstable as a hydrate, and gives water and the anhydride so_{ }. if the sulphur be replaced by oxygen, then instead of h_{ }so_{ } and so_{ }, we have h_{ }oo_{ } and oo_{ }. the latter is ozone, while the salt k_{ }o_{ } (peroxide of potassium) corresponds to the hydrate h_{ }o_{ } as to an acid. and between h_{ }o and h_{ }o_{ } there may exist intermediate acid compounds, the first of which would be h_{ }o_{ }, in which, from analogy to the sulphur compounds, one would expect acid properties. besides which we may mention that for sulphur, besides h_{ }s (which is a feeble acid), h_{ }s_{ }, h_{ }s_{ }, h_{ }s_{ } are known. thus in many respects h_{ }o_{ } offers points of resemblance to acid compounds, and as regards its qualitative (reactive) analogies, it not only resembles na_{ }o_{ }, bao_{ }, &c., but also persulphuric acid hso_{ } (to which the anhydride s_{ }o_{ } corresponds) and cu_{ }o_{ }, &c., which will be subsequently described. [ ] tamman and carrara ( ) showed by determining the depression (fall of the temperature of the formation of ice, chapters i. and vii.) that the molecule of peroxide of hydrogen contains h_{ }o_{ }, and not ho or h_{ }o_{ }. thus in ozone and hydrogen peroxide we see examples of very unstable, easily decomposable (by time, spontaneously, and on contact) substances, full of the energy necessary for change,[ bis] capable of being easily reconstituted (in this case decomposing with the evolution of heat); they are therefore examples of _unstable chemical equilibria_. if a substance exists, it signifies that it already presents a certain form of equilibrium between those elements of which it is built up. but chemical, like mechanical, equilibria exhibit different degrees of stability or solidity.[ ] [ bis] the lower oxides of nitrogen and chlorine and the higher oxides of manganese are also formed with the absorption of heat, and therefore, like hydrogen peroxide, act in a powerfully oxidising manner, and are not formed by the same methods as the majority of other oxides. it is evident that, being endowed with a richer store of energy (acquired in combination or by absorption of heat), such substances, compared with others poorer in energy, will exhibit a greater diversity of cases of chemical action with other substances. [ ] if the point of support of a body lies in a vertical line below the centre of gravity, it is in unstable equilibrium. if the centre of gravity lies below the point of support; the state of equilibrium is very stable, and a vibration may take place about this position of stable equilibrium, as in a pendulum or balance, when finally the body assumes a position of stable equilibrium. but if, keeping to the same mechanical example, the body be supported not on a point, in the geometrical sense of the word, but on a small plane, then the state of unstable equilibrium may be preserved, unless destroyed by external influences. thus a man stands upright supported on the plane, or several points of the surfaces of his feet, having the centre of gravity above the points of support. vibration is then possible, but it is limited, otherwise on passing outside the limit of possible equilibrium another more stable position is attained about which vibration becomes more possible. a prism immersed in water may have several more or less stable positions of equilibrium. the same is also true with the atoms in molecules. some molecules present a state of more stable equilibrium than others. hence from this simple comparison it will be at once evident that the stability of molecules may vary considerably, that one and the same elements, taken in the same number, may give isomerides of different stability, and, lastly, that there may exist states of equilibria which are so unstable, so ephemeral, that they will only arise under particularly special conditions--such, for example, as certain hydrates mentioned in the first chapter (_see_ notes , , and others). and if in one case the instability of a given state of equilibrium is expressed by its instability with a change of temperature or physical state, then in other cases it is expressed by the facility with which it decomposes under the influence of contact or of the chemical influence of other substances. besides this, hydrogen peroxide presents another side of the subject which is not less important, and is much clearer and more general. hydrogen unites with oxygen in two degrees of oxidation: water or hydrogen oxide, and oxygenated water or hydrogen peroxide; for a given quantity of hydrogen, the peroxide contains twice as much oxygen as does water. this is a fresh example confirming the correctness of the law of multiple proportions, to which we have already referred in speaking of the water of crystallisation of salts. we can now formulate this law--_the law of multiple proportions_. _if two substances a and b (either simple or compound), unite together to form several compounds, a_{n}b_{m}, a_{q}b_{r} ..., then having expressed the compositions of all these compounds in such a way that the quantity (by weight or volume) of one of the component parts will be a constant quantity_ a, _it will be observed that in all the compounds_ ab_{a}, ab_{b} _... the quantities of the other component part,_ b, _will always be in commensurable relation: generally in simple multiple proportion--that is, that a : b ..., or m/n is to r/q as whole numbers, for instance as : or : ...._ the analysis of water shows that in parts by weight it contains · parts by weight of hydrogen and · of oxygen, and the analysis of peroxide of hydrogen shows that it contains · parts of oxygen to · parts of hydrogen. in this the analysis is expressed, as analyses generally are, in percentages; that is, it gives the amounts of the elements in a hundred parts by weight of the substance. the direct comparison of the percentage compositions of water and hydrogen peroxide does not give any simple relation. but such a relation is immediately apparent if we calculate the composition of water and of hydrogen peroxide, having taken either the quantity of oxygen or the quantity of hydrogen as a constant quantity--for instance, as unity. the most simple proportions show that in water there are contained eight parts of oxygen to one part of hydrogen, and in hydrogen peroxide sixteen parts of oxygen to one part of hydrogen; or one-eighth part of hydrogen in water and one-sixteenth part of hydrogen in hydrogen peroxide to one part of oxygen. naturally, the analysis does not give these figures with absolute exactness--it gives them within a certain degree of error--but they approximate, as the error diminishes, to that limit which is here given. the comparison of the quantities of hydrogen and oxygen in the two substances above named, taking one of the components as a constant quantity, gives an example of the application of the law of multiple proportions, because water contains eight parts and hydrogen peroxide sixteen parts of oxygen to one part of hydrogen, and these figures are commensurable and are in the simple proportion of : . an exactly similar multiple proportion is observed in the composition of all other well-investigated definite chemical compounds,[ ] and therefore the law of multiple proportions is accepted in chemistry as the starting point from which other considerations proceed. [ ] when, for example, any element forms several oxides, they are subject to the law of multiple proportions. for a given quantity of the non-metal or metal the quantities of oxygen in the different degrees of oxidation will stand as : , or as : , or as : , or as : , and so on. thus, for instance, copper combines with oxygen in at least two proportions, forming the oxides found in nature, and called the suboxide and the oxide of copper, cu_{ }o and cuo; the oxide contains twice as much oxygen as the suboxide. lead also presents two degrees of oxidation, the oxide and peroxide, and in the latter there is twice as much oxygen as in the former, pbo and pbo_{ }. when a base and an acid are capable of forming several kinds of salts, normal, acid, basic, and anhydro-, it is found that they also clearly exemplify the law of multiple proportions. this was demonstrated by wollaston soon after the discovery of the law in question. we saw in the first chapter that salts show different degrees of combination with water of crystallisation, and that they obey the law of multiple proportions. and, more than this, the indefinite chemical compounds existing as solutions may, as we saw in the same chapter, be brought under the law of multiple proportions by the hypothesis that solutions are unstable hydrates formed according to the law of multiple proportions, but occurring in a state of dissociation. by means of this hypothesis the law of multiple proportions becomes still more general, and all the aspects of chemical compounds are subject to it. the direction of the whole contemporary state of chemistry was determined by the discoveries of lavoisier and dalton. by endeavouring to prove that in solutions we have nothing else than the liquid products of the dissociation of definite hydrates, it is my aim to bring also this category of indefinite compounds under the general principle enunciated by dalton; just as astronomers have discovered a proof and not a negation of the laws of newton in perturbations. the law of multiple proportions was discovered at the beginning of this century by john dalton, of manchester, in investigating the compounds of carbon with hydrogen. it appeared that two gaseous compounds of these substances--marsh gas, ch_{ }, and olefiant gas, c_{ }h_{ }, contain for one and the same quantity of hydrogen, quantities of carbon which stand in multiple proportion; namely, marsh gas contains relatively half as much carbon as olefiant gas. although the analysis of that time was not exact, still the accuracy of this law, recognised by dalton, was further confirmed by more accurate investigations. on establishing the law of multiple proportions, dalton gave a hypothetical explanation for it. this explanation is based on the atomic theory of matter. in fact, the law of multiple proportions may be very easily understood by admitting the atomic structure of matter. the essence of the atomic theory is that matter is supposed to consist of an agglomeration of small and indivisible parts--atoms--which do not fill up the whole space occupied by a substance, but stand apart from each other, as the sun, planets, and stars do not fill up the whole space of the universe, but are at a distance from each other. the form and properties of substances are determined by the position of their atoms in space and by their state of motion, whilst the reactions accomplished by substances are understood as redistributions of the relative positions of atoms and changes in their motion. the atomic representation of matter arose in very ancient times,[ ] and up to recent times was at variance with the dynamical hypothesis, which considers matter as only a manifestation of forces. at the present time, however, the majority of scientific men uphold the atomic hypothesis, although the present conception of an atom is quite different from that of the ancient philosophers. an atom at the present day is regarded rather as an individual or unit which is indivisible by physical[ ] and chemical forces, whilst the atom of the ancients was actually mechanically and geometrically indivisible. when dalton ( ) discovered the law of multiple proportions, he pronounced himself in favour of the atomic doctrine, because it enables this law to be very easily understood. if the divisibility of every element has a limit, namely the atom, then the atoms of elements are the extreme limits of all divisibility, and if they differ from each other in their nature, the formation of a compound from elementary matter must consist in the aggregation of several different atoms into one whole or system of atoms, now termed _particles or molecules_. as atoms can only combine in their entire masses, it is evident that not only the law of definite composition, but also that of multiple proportions, must apply to the combination of atoms with one another; for one atom of a substance can combine with one, two, or three atoms of another substance, or in general one, two, three atoms of one substance are able to combine with one, two, or three atoms of another; this being the essence of the law of multiple proportions. chemical and physical data are very well explained by the aid of the atomic theory. the displacement of one element by another follows the law of equivalency. in this case one or several atoms of a given element take the place of one or several atoms of another element in its compounds. the atoms of different substances can be mixed together in the same sense as sand can be mixed with clay. they do not unite into one whole--_i.e._ there is not a perfect blending in the one or other case, but only a juxtaposition, a homogeneous whole being formed from individual parts. this is the first and most simple method of applying the atomic theory to the explanation of chemical phenomena.[ ] [ ] leucippus, democritus, and especially lucretius, in the classical ages, represented matter as made up of atoms--that is, of parts incapable of further division. the geometrical impossibility of such an admission, as well as the conclusions which were deduced by the ancient atomists from their fundamental propositions, prevented other philosophers from following them, and the atomic doctrine, like very many others, lived, without being ratified by fact, in the imaginations of its followers. between the present atomic theory and the doctrine of the above-named ancient philosophers there is naturally a remote historical connection, as between the doctrine of pythagoras and copernicus, but they are essentially different. for us the atom is indivisible, not in the geometrical abstract sense, but only in a physical and chemical sense. it would be better to call the atoms indivisible _individuals_. the greek atom = the latin individual, both according to the etymology and original sense of the words, but in course of time these two words have acquired a different meaning. the individual is mechanically and geometrically divisible, and only indivisible in a special sense. the earth, the sun, a man or a fly are individuals, although geometrically divisible. thus the 'atoms' of contemporary science, indivisible in a chemical sense, form those units with which we are concerned in the investigation of the natural phenomena of matter, just as a man is an indivisible unit in the investigation of social relations, or as the stars, planets, and luminaries serve as units in astronomy. the formation of the vortex hypothesis, in which, as we shall afterwards see, atoms are entire whirls mechanically complex, although physico-chemically indivisible, clearly shows that the scientific men of our time in holding to the atomic theory have only borrowed the word and form of expression from the ancient philosophers, and not the essence of their atomic doctrine. it is erroneous to imagine that the contemporary conceptions of the atomists are nothing but the repetition of the metaphysical reasonings of the ancients. to show the true meaning of the atomism of the ancient philosophers, and the profound difference between their points of argument and those of contemporary men of science, i cite the following fundamental propositions of democritus (b.c. - ) as the best expounder of the atomic doctrine of the ancients:--( ) nothing can proceed from nothing, nothing that exists can disappear or be destroyed (and hence matter), and every change only consists of a combination or separation. ( ) nothing is accidental, there is a reason and necessity for everything. ( ) all except atoms and vacua is reason and not existence. ( ) the atoms, which are infinite in number and form, constitute the visible universe by their motion, impact, and consequent revolving motion. ( ) the variety of objects depends only upon a difference in the number, form, and order of the atoms of which they are formed, and not upon a qualitative difference of their atoms, which only act upon each other by pressure and impact. ( ) the spirit, like fire, consists of minute, spherical, smooth, and very mobile and all-penetrating atoms, whose motion forms the phenomenon of life. these democritian, chiefly metaphysical, principles of atomism are so essentially different from the principles of the present atomic doctrine, which is exclusively applied to explaining the phenomena of the external world, that it may be useful to mention the essence of the atomic propositions of boscovitch, a slav who lived in the middle of the eighteenth century, and who is regarded as the founder of the modern atomic doctrines which, however, did not take hold upon the minds of scientific men, and were rarely applied prior to dalton--_i.e._ until the beginning of the nineteenth century. the doctrine of boscovitch was enunciated by him in - in his '_philosophiæ naturalis theoria reducta ad unicam legem virium in natura existentium_.' boscovitch considers matter to be composed of atoms, and the atoms to be the points or centres of forces (just as the stars and planets may be considered as points of space), acting between bodies and their parts. these forces vary with the distance, so that beyond a certain very small distance all atoms, and hence also their aggregates, are attracted according to newton's law, but at less distances, there alternate wave-like spheres of gradually decreasing attraction and increasing (as the distance decreases) repulsion, until at last at a minimum distance only the repellent action remains. atoms, therefore, cannot merge into each other. consequently, the atoms are held at a certain distance from each other, and therefore occupy space. boscovitch compares the sphere of repulsion surrounding the atoms to the spheres of action of firing of a detachment of soldiers. according to his doctrine, atoms are indestructible, do not merge into each other, have mass, are everlasting and mobile under the action of the forces proper to them. maxwell rightly calls this hypothesis the 'extreme' among those existing to explain matter, but many aspects of boscovitch's doctrine repeat themselves in the views of our day, with this essential difference, that instead of a mathematical point furnished with the properties of mass, the atoms are endowed with a corporality, just as the stars and planets are corporal, although in certain aspects of their interaction they may be regarded as mathematical points. in my opinion, the atomism of our day must first of all be regarded merely as a convenient method for the investigation of ponderable matter. as a geometrician in reasoning about curves represents them as formed of a succession of right lines, because such a method enables him to analyse the subject under investigation, so the scientific man applies the atomic theory as a method of analysing the phenomena of nature. naturally there are people now, as in ancient times, and as there always will be, who apply reality to imagination, and therefore there are to be found atomists of extreme views; but it is not in their spirit that we should acknowledge the great services rendered by the atomic doctrine to all science, which, while it has been essentially independently developed, is, if it be desired to reduce all ideas to the doctrines of the ancients, a union of the ancient dynamical and atomic doctrines. [ ] dalton and many of his successors distinguished the atoms of elements and compounds, in which they clearly symbolised the difference of their opinion from the representations of the ancients. now only the individuals of the elements, indivisible by physical and chemical forces, are termed atoms, and the individuals of compounds indivisible under physical changes are termed molecules; these are divisible into atoms by chemical forces. [ ] in the present condition of science, either the atomic or the dynamical hypothesis is inevitably obliged to admit the existence of an invisible and imperceptible motion in matter, without which it is impossible to understand either light or heat, or gaseous pressure, or any of the mechanical, physical, or chemical phenomena. the ancients saw vital motion in animals only, but to us the smallest particle of matter, endued with _vis viva_, or energy in some degree or other, is incomprehensible without self-existent motion. thus motion has become a conception inseparably knit with the conception of matter, and this has prepared the ground for the revival of the dynamical hypothesis of the constitution of matter. in the atomic theory there has arisen that generalising idea by which the world of atoms is constructed, like the universe of heavenly bodies, with its suns, planets, and meteors, endued with everlasting force of motion, forming molecules as the heavenly bodies form systems, like the solar system, which molecules are only relatively indivisible in the same way as the planets of the solar system are inseparable, and stable and lasting as the solar system is lasting. such a representation, without necessitating the absolute indivisibility of atoms, expresses all that science can require for an hypothetical representation of the constitution of matter. in closer proximity to the dynamical hypothesis of the constitution of matter is the oft-times revived _vortex hypothesis_. descartes first endeavoured to raise it; helmholtz and thomson (lord kelvin) gave it a fuller and more modern form; many scientific men applied it to physics and chemistry. the idea of vortex rings serves as the starting point of this hypothesis; these are familiar to all as the rings of tobacco smoke, and may be artificially obtained by giving a sharp blow to the sides of a cardboard box having a circular orifice and filled with smoke. phosphuretted hydrogen, as we shall see later on, when bubbling from water always gives very perfect vortex rings in a still atmosphere. in such rings it is easy to observe a constant circular motion about their axes, and to notice the stability the rings possess in their motion of translation. this unchangeable mass, endued with a rapid internal motion, is likened to the atom. in a medium deprived of friction, such a ring, as is shown by theoretical considerations of the subject from a mechanical point of view, would be perpetual and unchangeable. the rings are capable of grouping together, and in combining, without being absolutely indivisible, remain indivisible. the vortex hypothesis has been established in our times, but it has not been fully developed; its application to chemical phenomena is not clear, although not impossible; it does not satisfy a doubt in respect to the nature of the space existing between the rings (just as it is not clear what exists between atoms, and between the planets), neither does it tell us what is the nature of the moving substance of the ring, and therefore for the present it only presents the germ of an hypothetical conception of the constitution of matter; consequently, i consider that it would be superfluous to speak of it in greater detail. however, the thoughts of investigators are now (and naturally will be in the future), as they were in the time of dalton, often turned to the question of the limitation of the mechanical division of matter, and the atomists have searched for an answer in the most diverse spheres of nature. i select one of the methods attempted, which does not in any way refer to chemistry, in order to show how closely all the provinces of natural science are bound together. wollaston proposed the investigation of the _atmosphere of the heavenly bodies_ as a means for confirming the existence of atoms. if the divisibility of matter be infinite, then air must extend throughout the entire space of the heavens as it extends all over the earth by its elasticity and diffusion. if the infinite divisibility of matter be admitted, it is impossible that any portion of the whole space of the universe can be entirely void of the component parts of our atmosphere. but if matter be divisible up to a certain limit only--namely, up to the atom--then there _can exist_ a heavenly body void of an atmosphere; and if such a body be discovered, it would serve as an important factor for the acceptation of the validity of the atomic doctrine. the moon has long been considered as such a luminary and this circumstance, especially from its proximity to the earth, has been cited as the best proof of the validity of the atomic doctrine. this proof is apparently (poisson) deprived of some of its force from the possibility of the transformation of the component parts of our atmosphere into a solid or liquid state at immense heights above the earth's surface, where the temperature is exceedingly low; but a series of researches (pouillet) has shown that the temperature of the heavenly space is comparatively not so very low, and is attainable by experimental means, so that at the low existing pressure the liquefaction of the gases of the atmosphere cannot he expected even on the moon. therefore the absence of an atmosphere about the moon, if it were not subject to doubt, would be counted as a forcible proof of the atomic theory. as a proof of the absence of a lunar atmosphere, it is cited that the moon, in its independent motion between the stars, when eclipsing a star--that is, when passing between the eye and the star--does not show any signs of refraction at its edge; the image of the star does not alter its position in the heavens on approaching the moon's surface, consequently there is no atmosphere on the moon's surface capable of refracting the rays of light. such is the conclusion by which the absence of a lunar atmosphere is acknowledged. but this conclusion is most feeble, and there are even facts in exact contradiction to it, by which the existence of a lunar atmosphere may be proved. the entire surface of the moon is covered with a number of mountains, having in the majority of cases the conical form natural to volcanoes. the volcanic character of the lunar mountains was confirmed in october , when a change was observed in the form of one of them (the crater linnea). these mountains must be on the edge of the lunar disc. seen in profile, they screen one another and interfere with observations on the surface of the moon, so that when looking at the edge of the lunar disc we are obliged to make our observations not on the moon's surface, but at the summits of the lunar mountains. these mountains are higher than those on our earth, and consequently at their summits the lunar atmosphere must he exceedingly rarefied even if it possess an observable density at the surface. knowing the mass of the moon to be eighty-two times less than the mass of the earth, we are able to determine approximately that our atmosphere at the moon's surface would be about twenty-eight times lighter than it is on the earth, and consequently at the very surface of the moon the refraction of light by the lunar atmosphere must he very slight, and at the heights of the lunar mountains it must be imperceptible, and would be lost within the limits of experimental error. therefore the absence of refraction of light at the edge of the moon's disc cannot yet be urged in favour of the absence of a lunar atmosphere. there is even a series of observations obliging us to admit the existence of this atmosphere. these researches are due to sir john herschel. this is what he writes: 'it has often been remarked that during the eclipse of a star by the moon there occurs a peculiar optical illusion; it seems as if the star before disappearing passed over the edge of the moon and is seen through the lunar disc, sometimes for a rather long period of time. i myself have observed this phenomenon, and it has been witnessed by perfectly trustworthy observers. i ascribe it to optical illusion, but it must be admitted that the star might have been seen on the lunar disc through some deep ravine on the moon.' geniller, in belgium ( ), following the opinion of cassini, eiler, and others, gave an explanation of this phenomenon: he considers it due to the refraction of light in the valleys of the lunar mountains which occur on the edge of the lunar disc. in fact, although these valleys do not probably present the form of straight ravines, yet it may sometimes happen that the light of a star is so refracted that its image might he seen, notwithstanding the absence of a direct path for the light-rays. he then goes on to remark that the density of the lunar atmosphere must be variable in different parts, owing to the very long nights on the moon. on the dark, or non-illuminated portion, owing to these long nights, which last thirteen of our days and nights, there must be excessive cold, and hence a denser atmosphere, while, on the contrary, on the illuminated portion the atmosphere must be much more rarefied. this variation in the temperature of the different parts of the moon's surface explains also the absence of clouds, notwithstanding the possible presence of air and aqueous vapour, on the visible portion of the moon. the presence of an atmosphere round the sun and planets, judging from astronomical observations, may be considered as fully proved. on jupiter and mars even bands of clouds may be distinguished. thus the atomic doctrine, admitting a finite mechanical divisibility only, must he, as yet at least, only accepted as a means, similar to that means which a mathematician employs when he breaks up a continuous curvilinear line into a number of straight lines. there is a simplicity of representation in atoms, but there is no absolute necessity to have recourse to them. the conception of the individuality of the parts of matter exhibited in chemical elements only is necessary and trustworthy. a certain number of atoms _n_ of an element a in combining with several atoms _m_ of another element b give a compound a_{_n_} b_{_m_}, each molecule of which will contain the atoms of the elements a and b in this ratio, and therefore the compound will present a _definite composition_, expressed by the formula a_{_n_}b_{_m_}, where a and b are the weights of the atoms and _n_ and _m_ their relative number. if the same elements a and b, in addition to a_{_n_}b_{_m_}, also yield another compound a_{_r_}b_{_q_}, then by expressing the composition of the first compound by a_{_nr_}b_{_mr_} (and this is the same composition as a_{_n_}b_{_m_}), and of the second compound by a_{_rn_}b_{_qn_}, we have the law of multiple proportions, because for a given quantity of the first element, a_{_rn_}, there occur quantities of the second element bearing the same ratio to each other as _mr_ is to _qn_; and as _m_, _r_, _q_, and _n_ are whole numbers, their products are also whole numbers, and this is expressed by the law of multiple proportion. consequently the atomic theory is in accordance with and evokes the first laws of definite chemical compounds: the law of definite composition and the law of multiple proportions. so, also, is the relation of the atomic theory to the third law of definite chemical compounds, the _law of reciprocal combining weights_, which is as follows:--if a certain weight of a substance c combine with a weight _a_ of a substance a, and with a weight _b_ of a substance b, then, also, the substances a and b will combine together in quantities _a_ and _b_ (or in multiples of them). this should be the case from the conception of atoms. let a, b, and c be the weights of the atoms of the three substances, and for simplicity of reasoning suppose that combination takes place between single atoms. it is evident that if the substance gives ac and bc, then the substances a and b will give a compound ab, or their multiple, a_{_n_}b_{_m_}. and so it is in reality in nature. sulphur combines with hydrogen and with oxygen. sulphuretted hydrogen contains thirty-two parts by weight of sulphur to two parts by weight of hydrogen; this is expressed by the formula h_{ }s. sulphur dioxide, so_{ }, contains thirty-two parts of sulphur and thirty-two parts of oxygen, and therefore we conclude, from the law of combining weights, that oxygen and hydrogen will combine in the proportion of two parts of hydrogen and thirty-two parts of oxygen, or multiple numbers of them. and we have seen this to be the case. hydrogen peroxide contains thirty-two parts of oxygen, and water sixteen parts, to two parts of hydrogen; and so it is in all other cases. this consequence of the atomic theory is in accordance with nature, with the results of analysis, and is one of the most important laws of chemistry. it is a law, because it indicates the _relation between_ the weights of substances entering into chemical combination. further, it is an eminently exact law, and not an approximate one. the law of combining weights is a law of nature, and by no means an hypothesis, for even if the entire theory of atoms be refuted, still the laws of multiple proportions and of combining weights will remain, inasmuch as they deal with facts. they may be guessed at from the sense of the atomic theory, and historically the law of combining weights is intimately connected with this theory; but they are not identical, but only connected, with it. the law of combining weights is formulated with great ease, and is an immediate consequence of the atomic theory; without it, it is even difficult to understand. data for its evolution existed previously, but it was not formulated until those data were interpreted by the atomic theory, an hypothesis which up to the present time has contradicted neither experiment nor fact, and is useful and of general application. such is the nature of hypotheses. they are indispensable to science; they bestow an order and simplicity which are difficultly attainable without their aid. the whole history of science is a proof of this. and therefore it may be truly said that it is better to hold to an hypothesis which may afterwards prove untrue than to have none at all. hypotheses facilitate scientific work and render it consistent. in the search for truth, like the plough of the husbandman, they help forward the work of the labourer. chapter v nitrogen and air gaseous _nitrogen_ forms about four-fifths (by volume) of the atmosphere; consequently the air contains an exceedingly large mass of it. whilst entering in so considerable a quantity into the composition of air, nitrogen does not seem to play any active part in the atmosphere, the chemical action of which is mainly dependent on the oxygen it contains. but this is not an entirely correct idea, because animal life cannot exist in pure oxygen, in which animals pass into an abnormal state and die; and the nitrogen of the air, although slowly, forms diverse compounds, many of which play a most important part in nature, especially in the life of organisms. however, neither plants[ ] nor animals directly absorb the nitrogen of the air, but take it up from already prepared nitrogenous compounds; further, plants are nourished by the nitrogenous substances contained in the soil and water, and animals by the nitrogenous substances contained in plants and in other animals. atmospheric electricity is capable of aiding the passage of gaseous nitrogen into nitrogenous compounds, as we shall afterwards see, and the resultant substances are carried to the soil by rain, where they serve for the nourishment of plants. plentiful harvests, fine crops of hay, vigorous growth of trees--other conditions being equal--are only obtained when the soil contains _ready prepared nitrogenous compounds_, consisting either of those which occur in air and water, or of the residues of the decomposition of other plants or animals (as in manure). the nitrogenous substances contained in animals have their origin in those substances which are formed in plants. thus the nitrogen of the atmosphere is the origin of all the nitrogenous substances occurring in animals and plants, although not directly so, but after first combining with the other elements of air. [ ] see note bis. the nitrogenous compounds which enter into the composition of plants and animals are of primary importance; no vegetable or animal cell--that is, the elementary form of organism--exists without containing a nitrogenous substance, and moreover organic life manifests itself primarily in these nitrogenous substances. the germs, seeds, and those parts by which cells multiply themselves abound in nitrogenous substances; the sum total of the phenomena which are proper to organisms depend primarily on the chemical properties of the nitrogenous substances which enter into their composition. it will be sufficient, for instance, to point out the fact that vegetable and animal organisms, clearly distinguishable as such, are characterised by a different degree of energy in their nature, and at the same time by a difference in the amount of nitrogenous substances they contain. in plants, which compared with animals possess but little activity, being incapable of independent movement, &c., the amount of nitrogen is very much less than in animals, whose tissues are almost exclusively formed of nitrogenous substances. it is remarkable that the nitrogenous parts of plants, chiefly of the lower orders, sometimes present both forms and properties which approach to those of animal organisms; for example, the zoospores of sea-weeds, or those parts by means of which the latter multiply themselves. these zoospores on leaving the sea-weed in many respects resemble the lower orders of animal life, having, like the latter, the property of moving. they also approach the animal kingdom in their composition, their outer coating containing nitrogenous matter. directly the zoospore becomes covered with that non-nitrogenous or cellular coating which is proper to all the ordinary cells of plants, it loses all resemblance to an animal organism and becomes a small plant. it may be thought from this that the cause of the difference in the vital processes of animals and plants is the different amount of nitrogenous substances they contain. the nitrogenous substances which occur in plants and animals appertain to a series of exceedingly complex and very changeable chemical compounds; their elementary composition alone shows this; besides nitrogen, they contain carbon, hydrogen, oxygen, and sulphur. being distinguished by a very great instability under many conditions in which other compounds remain unchanged, these substances are fitted for those perpetual changes which form the first condition of vital activity. these complex and changeable nitrogenous substances of the organism are called _proteïd substances_. the white of eggs is a familiar example of such a substance. they are also contained in the flesh of animals, the curdy elements of milk, the glutinous matter of wheaten flour, or so-called gluten, which forms the chief component of macaroni, &c. nitrogen occurs in the earth's crust, in compounds either forming the remains of plants and animals, or derived from the nitrogen of the atmosphere as a consequence of its combination with the other component parts of the air. it is not found in other forms in the earth's crust; so that nitrogen must be considered, in contradistinction to oxygen, as an element which is purely superficial, and does not extend to the depths of the earth.[ bis] [ bis] the reason why there are no other nitrogenous substances within the earth's mass beyond those which have come there with the remains of organisms, and from the air with rain-water, must be looked for in two circumstances. in the first place, in the instability of many nitrogenous compounds, which are liable to break up with the formation of gaseous nitrogen; and in the second place in the fact that the salts of nitric acid, forming the product of the action of air on many nitrogenous and especially organic compounds, are very soluble in water, and on penetrating into the depths of the earth (with water) give up their oxygen. the result of the changes of the nitrogenous organic substances which fall into the earth is without doubt frequently, if not invariably, the formation of gaseous nitrogen. thus the gas evolved from coal always contains much nitrogen (together with marsh gas, carbonic anhydride, and other gases). _nitrogen is liberated_ in a free state in the decomposition of the _nitrogenous organic substances_ entering into the composition of organisms--for instance, on their combustion. all organic substances burn when heated to redness with oxygen (or substances readily yielding it, such as oxide of copper); the oxygen combines with the carbon, sulphur, and hydrogen, and the nitrogen is evolved in a free state, because at a high temperature it does not form any stable compound, but remains uncombined. carbonic anhydride and water are formed from the carbon and hydrogen respectively, and therefore to obtain pure nitrogen it is necessary to remove the carbonic anhydride from the gaseous products obtained. this may be done very easily by the action of alkalis--for instance, caustic soda. the amount of nitrogen in organic substances is determined by a method founded on this. it is also very easy to obtain _nitrogen from air_, because oxygen combines with many substances. either phosphorus or metallic copper is usually employed for removing the oxygen from air, but, naturally, a number of other substances may also be used. if a small saucer on which a piece of phosphorus is laid be placed on a cork floating on water, and the phosphorus be lighted, and the whole covered with a glass bell jar, then the air under the jar will be deprived of its oxygen, and nitrogen only will remain, owing to which, on cooling, the water will rise to a certain extent in the bell jar. the same object (procuring nitrogen from air) is attained much more conveniently and perfectly by passing air through a red-hot tube containing copper filings. at a red heat, metallic copper combines with oxygen and gives a black powder of copper oxide. if the layer of copper be sufficiently long and the current of air slow, all the oxygen will be absorbed, and nitrogen alone will pass from the tube.[ ] [ ] copper (best as turnings, which present a large surface) absorbs oxygen, forming cuo, at the ordinary temperature in the presence of solutions of acids, or, better still, in the presence of a solution of ammonia, when it forms a bluish-violet solution of oxide of copper in ammonia. nitrogen is very easily procured by this method. a flask filled with copper turnings is closed with a cork furnished with a funnel and stopcock. a solution of ammonia is poured into the funnel, and caused to drop slowly upon the copper. if at the same time a current of air be slowly passed through the flask (from a gasholder), then all the oxygen will be absorbed from it and the nitrogen will pass from the flask. it should be washed with water to retain any ammonia that may be carried off with it. nitrogen may also be procured from many of its _compounds with oxygen[ ] and hydrogen_,[ ] but the best fitted for this purpose is a saline mixture containing, on the one hand, a compound of nitrogen with oxygen, termed nitrous anhydride, n_{ }o_{ }, and on the other hand, ammonia, nh_{ }--that is, a compound of nitrogen with hydrogen. by heating such a mixture, the oxygen of the nitrous anhydride combines with the hydrogen of the ammonia, forming water, and gaseous nitrogen is evolved, nh_{ } + n_{ }o_{ } = h_{ }o + n_{ }. nitrogen is procured by this method in the following manner:--a solution of caustic potash is saturated with nitrous anhydride, by which means potassium nitrite is formed. on the other hand, a solution of hydrochloric acid saturated with ammonia is prepared; a saline substance called sal-ammoniac, nh_{ }cl, is thus formed in the solution. the two solutions thus prepared are mixed together and heated. reaction takes place according to the equation kno_{ } + nh_{ }cl = kcl + h_{ }o + n_{ }. this reaction proceeds in virtue of the fact that potassium nitrite and ammonium chloride are salts which, on interchanging their metals, give potassium chloride and ammonium nitrite, nh_{ }no_{ }, which breaks up into water and nitrogen. this reaction does not take place without the aid of heat, but it proceeds very easily at a moderate temperature. of the resultant substances, the nitrogen only is gaseous. pure nitrogen may be obtained by drying the resultant gas and passing it through a solution of sulphuric acid (to absorb a certain quantity of ammonia which is evolved in the reaction).[ bis] [ ] the oxygen compounds of nitrogen (for example, n_{ }o, no, no_{ }) are decomposed at a red heat by themselves, and under the action of red-hot copper, iron, sodium, &c., they give up their oxygen to the metals, leaving the nitrogen free. according to meyer and langer ( ), nitrous oxide, n_{ }o, decomposes below °, although not completely. [ ] chlorine and bromine (in excess), as well as bleaching powder (hypochlorites), take up the hydrogen from ammonia, nh_{ }, leaving nitrogen. nitrogen is best procured from ammonia by the action of a solution of sodium hypobromite on solid sal-ammoniac. [ bis] lord rayleigh in , when determining the weight of a volume of carefully purified nitrogen by weighing it in one and the same globe, found that the gas obtained from air, by the action of incandescent copper (or iron or by removing the oxygen by ferrous oxide) was always / heavier than the nitrogen obtained from its compounds, for instance, from the oxide or suboxide of nitrogen, decomposed by incandescent pulverulent iron or from the ammonia salt of nitrous acid. for the nitrogen procured from air, he obtained, at ° and · mm. pressure, a weight = · grms., while for the nitrogen obtained from its compounds, · grms. this difference of about / could not be explained by the nitrogen not having been well purified, or by inaccuracy of experiment, and was the means for the remarkable discovery of the presence of a heavy gas in air, which will be mentioned in note bis. nitrogen is a gaseous substance which does not differ much in physical properties from air; its density, referred to hydrogen, is approximately equal to --that is, it is slightly lighter than air, its density referred to air being · ; one litre of nitrogen weighs · gram. nitrogen mixed with oxygen, which is slightly heavier than air, forms air. it is a gas which, like oxygen and hydrogen, is liquefied with difficulty, and is but little soluble in water and other liquids. its absolute boiling point[ ] is about - °; above this temperature it is not liquefiable by pressure, and at lower temperatures it remains a gas at a pressure of atmospheres. liquid nitrogen boils at - °, so that it may be employed as a source of great cold. at about - °, in vaporising under a decrease of pressure, nitrogen solidifies into a colourless snow-like mass. nitrogen does not burn,[ bis] does not support combustion, is not absorbed by any of the reagents used in gas analysis, at least at the ordinary temperature--in a word, it presents a whole series of negative chemical properties; this is expressed by saying that this element has no energy for combination. although it is capable of forming compounds both with oxygen and hydrogen as well as with carbon, yet these compounds are only formed under particular circumstances, to which we will directly turn our attention. at a red heat nitrogen combines with boron, titanium, and silicon, barium, magnesium, &c., forming very stable nitrogenous compounds,[ ] whose properties are entirely different from those of nitrogen with hydrogen, oxygen and carbon. however, the combination of nitrogen with carbon, although it does not take place directly between the elements at a red heat, yet proceeds with comparative ease by heating a mixture of charcoal with an alkaline carbonate, especially potassium carbonate or barium carbonate, to redness, carbo-nitrides or cyanides of the metals being formed; for instance, k_{ }co_{ } + c + n_{ } = kcn + co.[ ] [ ] see chapter ii. note . [ bis] see note bis. [ ] the combination of boron with nitrogen is accompanied by the evolution of sufficient heat to raise the mass to redness; titanium combines so easily with nitrogen that it is difficult to obtain it free from that element; magnesium easily absorbs nitrogen at a red heat. it is a remarkable and instructive fact that these compounds of nitrogen are very stable and non-volatile. carbon (c = ) with nitrogen gives cyanogen, c_{ }n_{ }, which is gaseous and very unstable, and whose molecule is not large, whilst boron (b = ) forms a nitrogenous compound which is solid, non-volatile, and very stable. its composition, bn, is similar to that of cyanogen, but its molecular weight, b_{n}n_{n}, is probably greater. its composition, like that of n_{ }mg_{ }, nna_{ }, n_{ }hg_{ } and of many of the metallic nitrides, corresponds to ammonia with the substitution of all its hydrogen by a metal. in my opinion, a detailed study of the transformations of the nitrides now known, should lead to the discovery of many facts in the history of nitrogen. [ ] this reaction, so far as is known, does not proceed beyond a certain limit, probably because cyanogen, cn, itself breaks up into carbon and nitrogen. nitrogen is found with oxygen in the air, but they do not readily combine. cavendish, however, in the last century, showed that _nitrogen combines with oxygen under the influence of a series of electric sparks_. electric sparks in passing through a moist[ ] mixture of nitrogen and oxygen cause these elements to combine, forming reddish-brown fumes of oxides of nitrogen,[ ] which form nitric acid,[ ] nho_{ }. the presence of the latter is easily recognised, not only from its reddening litmus paper, but also from its acting as a powerful oxidiser even of mercury. conditions similar to these occur in nature, during a thunderstorm or in other electrical discharges which take place in the atmosphere; whence it may be taken for granted that air and rain-water always contain traces of nitric and nitrous acids.[ ] besides which crookes ( ) showed that under certain circumstances and when electricity of high potential[ bis] passes through the air, the combination of nitrogen with oxygen is accompanied by the formation of a true flame. this was also observed previously ( ) during the passage of electrical discharges through the air. [ ] frémy and becquerel took dry air, and observed the formation of brown vapours of oxides of nitrogen on the passage of sparks. [ ] if a mixture of one volume of nitrogen and fourteen volumes of hydrogen be burnt, then water and a considerable quantity of nitric acid are formed. it may be partly due to this that a certain quantity of nitric acid is produced in the slow oxidation of nitrogenous substances in an excess of air. this is especially facilitated by the presence of an alkali with which the nitric acid formed can combine. if a galvanic current be passed through water containing the nitrogen and oxygen of the air in solution, then the hydrogen and oxygen set free combine with the nitrogen, forming ammonia and nitric acid. when copper is oxidised at the expense of the air at the ordinary temperature in the presence of ammonia, oxygen is absorbed, not only for combination with the copper, but also for the formation of nitric acid. the combination of nitrogen with oxygen, even, for example, by the action of electric sparks, is not accompanied by an explosion or rapid combination, as in the action of a spark on a mixture of oxygen and hydrogen. this is explained by the fact that heat is not evolved in the combination of nitrogen with oxygen, but is absorbed--an expenditure of energy is required, there is no evolution of energy. in fact, there will not be the transmission of heat from particle to particle which occurs in the explosion of detonating gas. each spark will aid the formation of a certain quantity of the compound of oxygen and nitrogen, but will not excite the same in the neighbouring particles. in other words, the combination of hydrogen with oxygen is an exothermal reaction, and the combination of nitrogen with oxygen an endothermal reaction. a condition particularly favourable for the oxidation of nitrogen is the explosion of detonating gas and air if the former be _in excess_. if a mixture of two volumes of detonating gas and one volume of air be exploded, then one-tenth of the air is converted into nitric acid, and consequently after the explosion has taken place there remain only nine-tenths of the volume of air originally taken. if a large proportion of air be taken--for instance, four volumes of air to two volumes of detonating gas--then the temperature of the explosion is lowered, the volume of air taken remains unchanged, and no nitric acid is formed. this gives a rule to be observed in making use of the eudiometer--namely that to weaken the force of the explosion not less than an equal volume of air should be added to the explosive mixture. on the other hand a large excess must not be taken as no explosion would then ensue (_see_ chapter iii. note ). probably in the future means will be found for obtaining compounds of nitrogen on a large industrial scale by the aid of electric discharges, and by making use of the inexhaustible mass of nitrogen in the atmosphere. [ ] in reality nitric oxide, no, is first formed, but with oxygen and water it gives (brown fumes) nitrous anhydride, which, as we shall afterwards learn, in the presence of water and oxygen gives nitric acid. [ ] the nitric acid contained in the soil, river water (chapter i., note ), wells, &c., proceeds (like carbonic anhydride) from the oxidation of organic compounds which have fallen into water, soil, &c. [ bis] crookes employed a current of ampères and volts, and passed it through an induction coil with vibrations per second, and obtained a flame between the poles placed at a distance of mm. which after the appearance of the arc and flame could be increased to mm. a platinum wire fused in the flame. further observations showed that under the influence of electrical discharges,[ ] silent as well as with sparks, nitrogen is able to enter into many reactions with hydrogen and with many hydrocarbons; although these reactions cannot be effected by exposure to a red heat. thus, for instance, a series of electric sparks passed through a mixture of nitrogen and hydrogen causes them to combine and _form ammonia_[ ] or nitrogen hydride, nh_{ }, composed of one volume of nitrogen and three volumes of hydrogen. this combination is limited to the formation of per cent. of ammonia, because ammonia is decomposed, although not entirely ( / ) by electric sparks. this signifies that under the influence of an electrical discharge the reaction nh_{ } = n + h is reversible, consequently it is a dissociation, and in it a state of equilibrium is arrived at. the equilibrium may be destroyed by the addition of gaseous hydrochloric acid, hcl, because with ammonia it forms a solid saline compound, sal-ammoniac, nh_{ }cl, which (being formed from a gaseous mixture of h, n, and hcl) fixes the ammonia. the remaining mass of nitrogen and hydrogen, under the action of the sparks, again forms ammonia, and in this manner _solid sal-ammoniac is obtained to the end by the action of a series of electric sparks on a mixture of gaseous_ n, h_{ }, _and_ hcl.[ ] berthelot ( ) showed that under the action of a silent discharge many non-nitrogenous organic substances (benzene, c_{ }h_{ }, cellulose in the form of paper, resin, glucose, c_{ }h_{ }o_{ }, and others) absorb nitrogen and form complex nitrogenous compounds, which are capable, like albuminous substances, of evolving their nitrogen as ammonia when heated with alkalis.[ ] [ ] this property of nitrogen, which under normal conditions is inactive, leads to the idea that under the influence of an electric discharge gaseous nitrogen changes in its properties; if not permanently like oxygen (electrolysed oxygen or ozone does not react on nitrogen, according to berthelot), it may be temporarily at the moment of the action of the discharge, just as some substances under the action of heat are permanently affected (that is, when once changed remain so--for instance, white phosphorus passes into red, &c.), whilst others are only temporarily altered (the dissociation of s_{ } into s_{ } or of sal-ammoniac into ammonia and hydrochloric acid). such a proposition is favoured by the fact that nitrogen gives two kinds of spectra, with which we shall afterwards become acquainted. it may be that the molecules n_{ } then give less complex molecules, n containing one atom, or form a complex molecule n_{ }, like oxygen in passing into ozone. probably under a silent discharge the molecules of oxygen, o_{ }, are partly decomposed and the individual atoms o combine with o_{ }, forming ozone, o_{ }. [ ] this reaction, discovered by chabrié and investigated by thénard, was only rightly understood when deville applied the principles of dissociation to it. [ ] the action of nitrogen on acetylene (berthelot) resembles this reaction. a mixture of these gases under the influence of a silent discharge gives hydrocyanic acid, c_{ }h_{ } + n_{ } = cnh. this reaction cannot proceed beyond a certain limit because it is reversible. [ ] berthelot successfully employed electricity of even feeble potential in these experiments, which fact led him to think that in nature, where the action of electricity takes place very frequently, a part of the complex nitrogenous substances may proceed from the gaseous nitrogen of the air by this method. as the nitrogenous substances of organisms play a very important part in them (organic life cannot exist without them), and as the nitrogenous substances introduced into the soil are capable of invigorating its crops (of course in the presence of the other nourishing principles required by plants), the question of the means of converting the atmospheric nitrogen into the nitrogenous compounds of the soil, or into _assimilable nitrogen_ capable of being absorbed by plants and of forming complex (albuminous) substances in them, is one of great theoretical and practical interest. the artificial (technical) conversion of the atmospheric nitrogen into nitrogenous compounds, notwithstanding repeated attempts, cannot yet be considered as fulfilled in a practical remunerative manner although its possibility is already evident. electricity will probably aid in solving this very important practical problem. when the theoretical side of the question is further advanced, then without doubt an advantageous means will be found for the manufacture of nitrogenous substances from the nitrogen of the air; and this is needed, before all, for the agriculturist, to whom nitrogenous fertilisers form an expensive item, and are more important than all other manures. one thousand tons of farmyard manure do not generally contain more than four tons of nitrogen in the form of complex nitrogenous substances, and this amount of nitrogen is contained in twenty tons of ammonium sulphate, therefore the effect of a mass of farmyard manure in respect to the introduction of nitrogen may be produced by small quantities of artificial nitrogenous fertilisers (_see_ note bis). by such indirect methods does the gaseous nitrogen of the atmosphere yield its primary compounds, in which form it enters into plants, and is elaborated in them into complex albuminous substances.[ bis] but, starting from a given compound of nitrogen with hydrogen or oxygen, we may, without the aid of organisms, obtain, as will afterwards be partially indicated, most diverse and complex nitrogenous substances, which cannot by any means be formed directly from gaseous nitrogen. in this we see an example not only of the difference between an element in the free state and an intrinsic element, but also of those circuitous or _indirect methods_ by which substances are formed in nature. the discovery, prognostication, and, in general, the study of such indirect methods of the preparation and formation of substances forms one of the existing problems of chemistry. from the fact that a does not act at all on b, it must not be concluded that a compound ab is not to be formed. the substances a and b contain atoms which occur in ab, but their state or the nature of their motion may not be at all that which is required for the formation of ab, and in this substance the chemical state of the elements may be as different as the state of the atoms of oxygen in ozone and in water. thus free nitrogen is inactive; but in its compounds it very easily enters into changes and is distinguished by great activity. an acquaintance with the compounds of nitrogen confirms this. but, before entering on this subject, let us consider air as a mass containing free nitrogen. [ bis] although the numerous, and as far as possible accurate and varied researches made in the physiology of plants have proved that the higher forms of plants are not capable of directly absorbing the nitrogen of the atmosphere and converting it into complex albuminous substances, still it has been long and repeatedly observed that the amount of nitrogenous substances in the soil is increased by the cultivation of plants of the bean (leguminous) family such as pea, acacia, &c. a closer study of these plants has shown that this is connected with the formation of peculiar nodular swellings in their roots caused by the growth of peculiar micro-organisms (bacteria) which cohabit the soil with the roots, and are capable of absorbing nitrogen from the air, _i.e._ of converting it into assimilated nitrogen. this branch of plant physiology, which forms another proof of the important part played by micro-organisms in nature, cannot be discussed in this work, but it should be mentioned, since it is of great theoretical and practical interest, and, moreover, phenomena of this kind, which have recently been discovered, promise to explain, to some extent at least, certain of the complex problems concerning the development of life on the earth. judging from what has been already stated, it will be evident that _atmospheric air_[ ] contains a mixture of several gases and vapours. some of them are met with in it in nearly constant proportions, whilst others, on the contrary, are very variable in their amount. the chief component parts of air, placed in the order of their relative amounts, are the following: nitrogen,[ bis] oxygen, aqueous vapour, carbonic anhydride, nitric acid, salts of ammonia, oxides of nitrogen, and also ozone, hydrogen peroxide, and complex organic nitrogenous substances. besides these, air generally contains water, as spray, drops, and snow, and particles of solids, perhaps of cosmic origin in certain instances, but in the majority of cases proceeding from the mechanical translation of solid particles from one locality to another by the wind. these small solid and liquid particles (having a large surface in proportion to their weight) are suspended in air as solid matter is suspended in turbid water; they often settle on the surface of the earth, but the air is never entirely free from them because they are never in a state of complete rest. then, air not unfrequently contains incidental traces of various substances as everyone knows by experience. these incidental substances sometimes belong to the order of those which act injuriously, the germs of lower organisms--for instance of moulds--and the class of carriers of infectious diseases. [ ] under the name of atmospheric air the chemist and physicist understand ordinary air containing nitrogen and oxygen only, notwithstanding that the other component parts of air have a very important influence on the living matter of the earth's surface. that air is so represented in science is based on the fact that only the two components above-named are met with in air in a constant quantity, whilst the others are variable. the solid impurities may be separated from air required for chemical or physical research by simple filtration through a long layer of cotton-wool placed in a tube. organic impurities are removed by passing the air through a solution of potassium permanganate. the carbonic anhydride contained in air is absorbed by alkalis--best of all, soda-lime, which in a dry state in porous lumps absorbs it with exceeding rapidity and completeness. aqueous vapour is removed by passing the air over calcium chloride, strong sulphuric acid, or phosphoric anhydride. air thus purified is accepted as containing only nitrogen and oxygen, although in reality it still contains a certain quantity of hydrogen and hydrocarbons, from which it may be purified by passing over copper oxide heated to redness. the copper oxide then oxidises the hydrogen and hydrocarbons--it burns them, forming water and carbonic anhydride, which may be removed as above described. when it is said that in the determination of the density of gases the weight of air is taken as unity, it is understood to be such air, containing only nitrogen and oxygen. [ bis] thanks to the remarkable discovery made in the summer of by lord rayleigh and prof. ramsay, the well-known component elements of air must now he supplemented by p.c. (by volume) of a heavy gas (density about , h = ), inactive like nitrogen, which was discovered in the researches made by lord rayleigh on the density of nitrogen as mentioned in note bis. up to the present time this gas has been always determined together with nitrogen, because it combines with neither the hydrogen in the eudiometer nor with the copper in the gravimetric method of determining the composition of air, and therefore has always remained with the nitrogen. it has been possible to separate it from nitrogen since magnesium absorbs nitrogen at a red heat, while this gas remains unabsorbed, and was found to have a density nearly one and a half time greater than that of nitrogen (is it not a polymer of nitrogen, n_{ }?). it is now known also that this gas gives a luminous spectrum, which contains the bright blue line observed in the spectrum of nitrogen. owing to the fact that it is an exceedingly inert substance, even more so than nitrogen, it has been termed argon. further reference will be made to it in the appendix. in the air of the various countries of the earth, at different longitudes and at different altitudes above its surface, on the ocean or on the dry land--in a word, in the air of most diverse localities of the earth--the oxygen and nitrogen are found everywhere to be in a constant ratio. this is, moreover, self-evident from the fact that the air constantly diffuses (intermixes by virtue of the internal motion of the gaseous particles) and is also put into motion and intermixed by the wind, by which processes it is equalised in its composition over the entire surface of the earth. in those localities where the air is subject to change, and is in a more or less enclosed space, or, at any rate, in an unventilated space, it may alter very considerably in its composition. for this reason the air in dwellings, cellars, and wells, in which there are substances absorbing oxygen, contains less of this gas, whilst the air on the surface of standing water, which abounds in the lower orders of plant life evolving oxygen, contains an excess of this gas.[ ] the constant composition of air over the whole surface of the earth has been proved by a number of most careful researches.[ ] [ ] as a further proof of the fact that certain circumstances may change the composition of air, it will be enough to point out that the air contained in the cavities of glaciers contains only up to p.c. of oxygen. this depends on the fact that at low temperatures oxygen is much more soluble in snow-water and snow than nitrogen. when shaken up with water the composition of air should change, because the water dissolves unequal quantities of oxygen and nitrogen. we have already seen (chapter i.) that the air boiled off from water saturated at about ° contains about thirty-five volumes of oxygen and sixty-five volumes of nitrogen, and we have considered the reason of this. [ ] the analysis of air by weight conducted by dumas and boussingault in paris, which they repeated many times between april and september , , under various conditions of weather, showed that the amount by weight of oxygen only varies between · p.c. and · p.c., the average amount being · p.c. brunner, at bern in switzerland, and bravais, at faulhorn in the bernese alps, at a height of two kilometres above the level of the sea, marignac at geneva, lewy at copenhagen, and stas at brussels, have analysed the air by the same methods, and found that its composition does not exceed the limits determined for paris. the most recent determinations (with an accuracy of ± · p.c.) confirm the conclusion that the composition of the atmosphere is constant. as there are some grounds (which will be mentioned shortly) for considering that the composition of the air at great altitudes is slightly different from that at attainable heights--namely, that it is richer in the lighter nitrogen--several fragmentary observations made at munich (jolly, ) gave reason for thinking that in the upward currents (that is in the region of minimum barometric pressure or at the centres of meteorological cyclones) the air is richer in oxygen than in the descending currents of air (in the regions of anticyclones or of barometric maxima); but more carefully conducted observations showed this supposition to be incorrect. improved methods for the analysis of air have shown that certain slight variations in its composition do actually occur, but in the first place they depend on incidental local influences (on the passage of the air over mountains and large surfaces of water, regions of forest and herbage, and the like), and in the second place are limited to quantities which are scarcely distinguishable from possible errors in the analyses. the researches made by kreisler in germany ( ) are particularly convincing. the considerations which lead to the supposition that the atmosphere at great altitudes contains less oxygen than at the surface of the earth are based on the law of partial pressures (chapter i.) according to this law, the equilibrium of the oxygen in the strata of the atmosphere is not dependent on the equilibrium of the nitrogen, and the variation in the densities of both gases with the height is determined by the pressure of each gas separately. details of the calculations and considerations here involved are contained in my work _on barometric levellings_, , p. . on the basis of the law of partial pressure and of hypsometrical formulæ, expressing the laws of the variation of pressures at different altitudes, the conclusion may be deduced that at the upper strata of the atmosphere the proportion of the nitrogen with respect to the oxygen increases, but the increase will not exceed a fraction per cent., even at altitudes of four and a half to six miles, the greatest height within the reach of men either by climbing mountains or by means of balloons. this conclusion is confirmed by the analyses of air collected by welch in england during his aëronautic ascents. _the analysis of air_ is effected by converting the oxygen into a non-gaseous compound, so as to separate it from the air. the original volume of the air is first measured, and then the volume of the remaining nitrogen. the quantity of oxygen is calculated either from the difference between these volumes or by the weight of the oxygen compound formed. all the volumetric measurements have to be corrected for pressure, temperature, and moisture (chapters i. and ii.) the medium employed for converting the oxygen into a non-gaseous substance should enable it to be taken up from the nitrogen to the very end without evolving any gaseous substance. so, for instance,[ ] a mixture of pyrogallol, c_{ }h_{ }o_{ }, with a solution of a caustic alkali absorbs oxygen with great ease at the ordinary temperature (the solution turns black), but it is unsuited for accurate analysis because it requires an aqueous solution of an alkali, and it alters the composition of the air by acting on it as a solvent.[ ] however, for approximate determinations this simple method gives results which are entirely satisfactory. [ ] the complete absorption of the oxygen may be attained by introducing moist phosphorus into a definite volume of air; the occurrence of this is recognised by the fact of the phosphorus becoming non-luminous in the dark. the amount of oxygen may be determined by measuring the volume of nitrogen remaining. this method however cannot give accurate results, owing to a portion of the air being dissolved in the water, to the combination of some of the nitrogen with oxygen and to the necessity of introducing and withdrawing the phosphorus, which cannot be accomplished without introducing bubbles of air. [ ] for rapid and approximate analyses (technical and hygienic), such a mixture is very suitable for determining the amount of oxygen in mixtures of gases from which the substances absorbed by alkalis have first been removed. according to certain observers, this mixture evolves a certain (small) quantity of carbonic oxide after absorbing oxygen. the determinations in a eudiometer (chapter iii.) give more exact results, if all the necessary corrections for changes of pressure, temperature, and moisture be taken into account. this determination is carried out essentially as follows:--a certain amount of air is introduced into the eudiometer, and its volume is determined. about an equal volume of dry hydrogen is then passed into the eudiometer, and the volume again determined. the mixture is then exploded, in the way described for the determination of the composition of water. the remaining volume of the gaseous mixture is again measured; it will be less than the second of the previously measured volumes. out of three volumes which have disappeared, one belonged to the oxygen and two to the hydrogen, consequently one-third of the loss of volume indicates the amount of oxygen contained in the air.[ ] [ ] details of eudiometrical analysis must, as was pointed out in chap. iii., note , be looked for in works on analytical chemistry. the same remark applies to the other analytical methods mentioned in this work. they are only described for the purpose of showing the diversity of the methods of chemical research. the most complete method for the analysis of air, and one which is accompanied by the least amount of error, consists in the direct weighing, as far as is possible, of the oxygen, nitrogen, water, and carbonic anhydride contained in it. for this purpose the air is first passed through an apparatus for retaining the moisture and carbonic anhydride (which will be considered presently), and is then led through a tube which contains shavings of metallic copper and has been previously weighed. a long layer of such copper heated to redness absorbs all the oxygen from the air, and leaves pure nitrogen, whose weight must be determined. this is done by collecting it in a weighed and exhausted globe, while the amount by weight of oxygen is shown by the increase in weight of the tube with the copper after the experiment. [illustration: fig. .--dumas and boussingault's apparatus for the analysis of air by weight. the globe b contains - litres. the air is first pumped out of it, and it is weighed empty. the tube t connected with it is filled with copper, and is weighed empty of air. it is heated in a charcoal furnace. when the copper has become red-hot, the stopcock _r_ (near r) is slightly opened, and the air passes through the vessels l, containing a solution of potash, _f_, containing solutions and pieces of caustic potash, which remove the carbonic anhydride from the air, and then through _o_ and _t_, containing sulphuric acid (which has been previously boiled to expel dissolved air) and pumice-stone, which removes the moisture from the air. the pure air then gives up its oxygen to the copper in t. when the air passes into t the stopcock r of the globe b is opened, and it becomes filled with nitrogen. when the air ceases to flow in, the stopcocks are closed, and the globe b and tube t weighed. the nitrogen is then pumped out of the tube and it is weighed again. the increase in weight of the tube shows the amount of oxygen, and the difference of the second and third weighings of the tube, with the increase in weight of the globe, gives the weight of the nitrogen.] air free from moisture and carbonic anhydride[ ] contains · to · [ ] parts by volume of oxygen; the mean amount of oxygen will therefore be · ± · per cent. taking the density of air = and of oxygen = · and nitrogen · the composition of air by weight will be · per cent. of oxygen and · per cent. of nitrogen.[ ] [ ] air free from carbonic anhydride indicates after explosion the presence of a small quantity of carbonic anhydride, as de saussure remarked, and air free from moisture, after being passed over red-hot copper oxide, appears invariably to contain a small quantity of water, as boussingault has observed. these observations lead to the assumption that air always contains a certain quantity of gaseous hydrocarbons, like marsh gas, which, as we shall afterwards learn, is evolved from the earth, marshes, &c. its amount, however, does not exceed a few hundredths per cent. [ ] the analyses of air are accompanied by errors, and there are variations of composition attaining hundredths per cent.; the average normal composition of air is therefore only correct to the first decimal place. [ ] these figures express the mean composition of air from an average of the most accurate determinations; they are accurate within ± · p.c. [illustration: fig. .--apparatus for the absorption and washing of gases, known as liebig's bulbs. the gas enters _m_, presses on the absorptive liquid, and passes from m into _b_, _c_, _d_, and _e_ consecutively, and escapes through _f_.] [illustration: fig. .--geisler's potash bulbs. the gas enters at _a_, and passes through a solution of potash in the lower bulbs, where the carbonic anhydride is absorbed, and the gas escapes from _b_. the lower bulbs are arranged in a triangle, so that the apparatus can stand without support.] the possibility of the composition of air being altered by the mere action of a solvent very clearly shows that the component parts of air are in a state of mixture, in which any gases may occur; they do not in this case form a definite compound, although the composition of the atmosphere does appear constant under ordinary conditions. the fact that its composition varies under different conditions confirms the truth of this conclusion, and therefore the constancy of the composition of air must not be considered as in any way dependent on the nature of the gases entering into its composition, but only as proceeding from cosmic phenomena co-operating towards this constancy. it must be admitted, therefore, that the processes evolving oxygen, and chiefly the processes of the respiration of plants, are of equal force with those processes which absorb oxygen over the entire surface of the earth.[ ] [ ] in chapter iii., note , an approximate calculation is made for the determination of the balance of oxygen in the entire atmosphere; it may therefore he supposed that the composition of air will vary from time to time, the relation between vegetation and the oxygen absorbing processes changes; but as the atmosphere of the earth can hardly have a definite limit and we have already seen (chapter iv., note ) that there are observations confirming this, it follows that our atmosphere should vary in its component parts with the entire heavenly space, and therefore it must he supposed that any variation in the composition by weight of the air can only take place exceedingly slowly, and in a manner imperceptible by experiment. [illustration: fig. .--tube for the absorption of carbonic acid. a plug of cotton wool is placed in the bulb to prevent the powder of soda-lime being carried off by the gas. the tube contains soda-lime and chloride of calcium.] air always contains more or less moisture[ ] and _carbonic anhydride_ produced by the respiration of animals and the combustion of carbon and carboniferous compounds. the latter shows the properties of an acid anhydride. in order to determine the amount of carbonic anhydride in air, substances are employed which absorb it--namely, alkalis either in solution or solid. a solution of caustic potash, kho, is poured into light glass vessels, through which the air is passed, and the amount of carbonic anhydride is determined by the increase in weight of the vessel. but it is best to take a solid porous alkaline mass such as soda-lime.[ ] with a slow current of air a layer of soda-lime cm. in length is sufficient to completely deprive cubic metre of air of the carbonic anhydride it contains. a series of tubes containing calcium chloride for absorbing the moisture[ ] is placed before the apparatus for the absorption of the carbonic anhydride, and a measured mass of air is passed through the whole apparatus by means of an aspirator. in this manner the determination of the moisture is combined with the absorption of the carbonic anhydride. the arrangement shown in fig. is such a combination. [ ] the amount of moisture contained in the air is considered in greater detail in the study of physics and meteorology and the subject has been mentioned above, in chapter i., note , where the methods of absorbing moisture from gases were pointed out. [ ] soda-lime is prepared in the following manner:--unslaked lime is finely powdered and mixed with a slightly warmed and very strong solution of caustic soda. the mixing should be done in an iron dish, and the materials should be well stirred together until the lime begins to slake. when the mass becomes hot, it boils, swells up, and solidifies, forming a porous mass very rich in alkali and capable of rapidly absorbing carbonic anhydride. a lump of caustic soda or potash presents a much smaller surface for absorption and therefore acts much less rapidly. it is necessary to place an apparatus for absorbing water after the apparatus for absorbing the carbonic anhydride, because the alkali in absorbing the latter gives off water. [ ] it is evident that the calcium chloride employed for absorbing the water should be free from lime or other alkalis in order that it may not retain carbonic anhydride. such calcium chloride may be prepared in the following manner: a perfectly neutral solution of calcium chloride is prepared from lime and hydrochloric acid; it is then carefully evaporated first on a water-bath and then on a sand-bath. when the solution attains a certain strength a scum is formed, which solidifies at the surface. this scum is collected, and will be found to be free from caustic alkalis. it is necessary in any case to test it before use, as otherwise a large error may be introduced into the results, owing to the presence of free alkali (lime). it is best to pass carbonic anhydride through the tube containing the calcium chloride for some time before the experiment, in order to saturate any free alkali that may remain from the decomposition of a portion of the calcium chloride by water, cacl_{ } + h_{ }o = caoh_{ }o + hcl. the amount of carbonic anhydride[ ] in free air is incomparably more constant than the amount of moisture. the average amount in volumes of dry air is approximately · volume--that is, , volumes of air contain about three volumes of carbonic anhydride, most frequently about · volumes. as the specific gravity of carbonic anhydride referred to air = · , it follows that parts by weight of air contain · part by weight of carbonic anhydride. this quantity varies according to the time of year (more in winter), the altitude above the level of the sea (less at high altitudes), the proximity to forests and fields (less) or cities (greater), &c. but the variation is small and rarely exceeds the limits of - / to ten-thousandths by volume.[ ] as there are many natural local influences which either increase the amount of carbonic anhydride in the air (respiration, combustion, decomposition, volcanic eruptions, &c.), or diminish it (absorption by plants and water), the reason of the great constancy in the amount of this gas in the air must be looked for, in the first place, in the fact that the wind mixes the air of various localities together, and, in the second place, in the fact that the waters of the ocean, holding carbonic acid in solution,[ ] form an immense reservoir for regulating the amount of this gas in the atmosphere. immediately the partial pressure of the carbonic anhydride in the air decreases, the water evolves it, and when the partial pressure increases, it absorbs it, and thus nature supplies the conditions for a natural state of moving equilibrium in this as in so many other instances.[ ] [ ] recourse is had to special methods when the determination only takes note of the carbonic anhydride of the air. for instance, it is absorbed by an alkali which does not contain carbonates (by a solution of baryta or caustic soda mixed with baryta), and then the carbonic anhydride is expelled by an excess of an acid, and its amount determined by the volume given off. a rapid method of determining co_{ } (for hygienic purposes) is given by the fall of tension produced by the introduction of an alkali (the air having been either brought to dryness or saturated with moisture). dr. schidloffsky's apparatus is based upon this principle. the question as to the amount of carbonic anhydride present in the air has been submitted to many voluminous and exact researches, especially those of reiset, schloesing, müntz, and aubin, who showed that the amount is not subject to such variations as at first announced on the basis of incomplete and insufficiently accurate determinations. [ ] it is a different case in enclosed spaces, in dwellings, cellars, wells, caves, and mines, where the renewal of air is impeded. under these circumstances large quantities of carbonic anhydride may accumulate. in cities, where there are many conditions for the evolution of carbonic anhydride (respiration, decomposition, combustion), its amount is greater than in free air, yet even in still weather the difference does not often exceed one ten-thousandth (that is, rarely attains instead of · vols. in vols. of air). [ ] in the sea as well as in fresh water, carbonic acid occurs in two forms, directly dissolved in the water, and combined with lime as calcium bicarbonate (hard waters sometimes contain very much carbonic acid in this form). the tension of the carbonic anhydride in the first form varies with the temperature, and its amount with the partial pressure, and that in the form of acid salts is under the same conditions, for direct experiments have shown a similar dependence in this case, although the quantitative relations are different in the two cases. [ ] in studying the phenomena of nature the conclusion is arrived at that the universally reigning state of mobile equilibrium forms the chief reason for that harmonious order which impresses all observers. it not unfrequently happens that we do not see the causes regulating the order and harmony; in the particular instance of carbonic anhydride, it is a striking circumstance that in the first instance a search was made for an harmonious and strict uniformity, and in incidental (insufficiently accurate and fragmentary) observations conditions were even found for concluding it to be absent. when, later, the rule of this uniformity was confirmed, then the causes regulating such order were also discovered. the researches of schloesing were of this character. deville's idea of the dissociation of the acid carbonates of sea-water is suggested in them. in many other cases also, a correct interpretation can only follow from a detailed investigation. besides nitrogen, oxygen, moisture, and carbonic acid, all the other substances occurring in air are found in infinitesimally small quantities by weight, and therefore the _weight of a cubic measure of air_ depends, to a sensible degree, on the above-named components alone. we have already mentioned that at ° and mm. pressure the weight of a cubic litre of air is · gram. this weight varies with the acceleration of gravity, _g_, so that if _g_ be expressed in metres the weight of a litre of air, _e_ = _g_ × · gram. for st. petersburg _g_ is about · , and therefore _e_ is about · ,[ ] the air being understood to be dry and free from carbonic anhydride. taking the amount of the latter as · per volumes, we obtain a greater weight; for example, for st. petersburg _e_ = · instead of · gram. the weight of one litre of moist air in which the tension[ ] of the aqueous vapour (partial pressure) = _f_ mm., at a pressure (total) of air of h millimetres, at a temperature _t_, will be (_i.e._, if at ° and mm. the weight of dry air = _e_) equal to _e_/( + · _t_) × (h - · _f_)/ . for instance, if h = mm., _t_ = °, and _f_ = mm. (the moisture is then slightly below p.c.), the weight of a litre of air at st. petersburg = · gram.[ ] [ ] the difference of the weight of a litre of dry air (free from carbonic anhydride) at ° and mm., at different longitudes and altitudes, depends on the fact that the force of gravity varies under these conditions, and with it the pressure of the barometrical column also varies. this is treated in detail in my works _on the elasticity of gases_ and _on barometric levellings_, and 'the publications of the weights and measures department' (_journal of the russian physico-chemical society_, ). in reality the weight is not measured in absolute units of weight (in pressure--refer to works on mechanics and physics), but in relative units (grams, scale weights) whose mass is invariable, and therefore the variation of the weight of the weights itself with the change of gravity must not be here taken into account, for we are here dealing with weights proportional to masses, since with a change of locality the weight of the weights varies as the weight of a given volume of air does. in other words: the mass of a substance always remains constant, but the pressure produced by it varies with the acceleration of gravity: the gram, pound, and other units of weight are really units of mass. [ ] the tension of the aqueous vapour in the air is determined by hygrometers and other similar methods. it may also be determined by analysis (_see_ chapter i., note ). [ ] for rapid calculation the weight of a litre of air (in a room) in st. petersburg, may under these conditions (h, _t_, and _f_) be obtained by the formula _e_ = · + · [h_{ }- + · ( °-_t_°)] where h_{ } = h- · _f_. in determining the weight of small and heavy objects (crucibles, &c. in analysis, and in determining the specific gravities of liquids, &c.) _a correction may be introduced for the loss of weight_ in the air of the room, by taking the weight of a litre of air displaced as · gram, and consequently · gram for every cubic centimetre. but if gases or, in general, large vessels are weighed, and the weighings require to be accurate, it is necessary to take into account all the data for the determination of the density of the air (_t_, h, and _f_), because sensitive balances can determine the possible variations of the weight of air, as in the case of a litre the weight of air varies in centigrams, even at a constant temperature, with variations of h and _f_. some time ago ( ) i proposed the following method and applied it for this purpose. a large light and closed vessel is taken, and its volume and weight in a vacuum are accurately determined, and verified from time to time. on weighing it we obtain the weight in air of a given density, and by subtracting this weight from its absolute weight and dividing by its volume we obtain the density of the air. the presence of ammonia, a compound of nitrogen and hydrogen, in the air, is indicated by the fact that all acids exposed to the air absorb ammonia from it after a time. de saussure observed that aluminium sulphate is converted by air into a double sulphate of ammonium and aluminium, or the so-called ammonia alum. quantitative determinations have shown that the amount of ammonia[ ] contained in air varies at different periods. however, it may be accepted that cubic metres of air do not contain less than or more than milligrams of ammonia. it is remarkable that mountain air contains more ammonia than the air of valleys. the air in those places where animal substances undergoing change are accumulated, and especially that of stables, generally contains a much greater quantity of this gas. this is the reason of the peculiar pungent smell noticed in such places. moreover ammonia, as we shall learn in the following chapter, combines with acids, and should therefore be found in air in the form of such combinations, since air contains carbonic and nitric acids. [ ] schloesing studied the equilibrium of the ammonia of the atmosphere and of the rivers, seas, &c., and showed that the amount of the gas is interchangeable between them. the ratio between the amount of ammonia in a cubic metre of air and a litre of water at ° = · , at ° = · , at ° = · to , and therefore in nature there is a state of equilibrium in the amount of ammonia in the atmosphere and waters. the presence of nitric acid in air is proved without doubt by the fact that rain-water contains an appreciable amount of it. further (as already mentioned in chapter iv.), air contains ozone and hydrogen peroxide and nitrous acid (and its ammonia salt), _i.e._ substances having a direct oxidising action (for instance, upon iodized starch-paper), but they are present in very small quantities.[ ] [ ] whilst formed in the air these oxidising substances (n_{ }o_{ }, ozone and hydrogen peroxide) at the same time rapidly disappear from it by oxidising those substances which are capable of being oxidised. owing to this instability their amounts vary considerably, and, as would be expected, they are met with to an appreciable amount in pure air, whilst their amount decreases to zero in the air of cities, and especially in dwellings where there is a maximum of substances capable of oxidisation and a minimum of conditions for the formation of such bodies. there is a causal connection between the amount of these substances present in the air and its purity--that is, the amount of foreign residues of organic origin liable to oxidation present in the air. where there is much of such residues their amount must be small. when they are present the amount of organic substances must be small, as otherwise they would be destroyed. for this reason efforts have been made to apply ozone for purifying the air by evolving it by artificial means in the atmosphere; for instance, by passing a series of electrical sparks through the ventilating pipes conveying air into a building. air thus ozonised destroys by oxidation--that is, brings about the combustion of--the organic residues present in the air, and thus will serve for purifying it. for these reasons the air of cities contains less ozone and such like oxidising agents than country air. this forms the distinguishing feature of country air. however, animal life cannot exist in air containing a comparatively large amount of ozone. besides substances in a gaseous or vaporous state,[ ] there is always found a more or less considerable quantity of substances which are not known in a state of vapour. these substances are present in the air as _dust_. if a linen surface, moistened with an acid, be placed in perfectly pure air, then the washings are found to contain sodium, calcium, iron, and potassium.[ ] linen moistened with an alkali absorbs carbonic, sulphuric, phosphoric, and hydrochloric acids. further, the presence of organic substances in air has been proved by a similar experiment. if a glass globe be filled with ice and placed in a room where are a number of people, then the presence of organic substances, like albuminous substances, may be proved in the water which condenses on the surface of the globe. it may be that the miasmas causing infection in marshy localities, hospitals, and in certain epidemic illnesses proceed from the presence of such substances in the air (and especially in water, which contains many micro-organisms), as well as from the presence of germs of lower organisms in the air as a minute dust. pasteur proved the existence of such germs in the air by the following experiment:--he placed gun-cotton (pyroxylin), which has the appearance of ordinary cotton, in a glass tube. gun-cotton is soluble in a mixture of ether and alcohol, forming the so-called collodion. a current of air was passed through the tube for a long period of time, and the gun-cotton was then dissolved in a mixture of ether and alcohol. an insoluble residue was thus obtained which actually contained the germs of organisms, as was shown by microscopical observations, and by their capacity to develop into organisms (mould, &c.) under favourable conditions. the presence of these germs determines the property of air of bringing about the processes of putrefaction and fermentation--that is the fundamental alteration of organic substances, which is accompanied by an entire change in their properties. the appearance of lower organisms, both vegetable and animal, is always to be remarked in these processes. thus, for instance, in the process of fermentation, when, for example, wine is procured from the sweet juice of grapes, a sediment separates out which is known under the name of lees, and contains peculiar yeast organisms. germs are required before these organisms can appear.[ ] they are floating in the air, and fall into the sweet fermentable liquid from it. finding themselves under favourable conditions, the germs develop into organisms; they are nourished at the expense of the organic substance, and during growth change and destroy it, and bring about fermentation and putrefaction. this is why, for instance, the juice of the grape when contained in the skin of the fruit, which allows access of the air but is impenetrable to the germs, does not ferment, does not alter so long as the skin remains intact. this is also the reason why animal substances when kept from the access of air may be preserved for a great length of time. preserved foods for long sea voyages are kept in this way.[ ] hence it is evident that however infinitesimal the quantity of germs carried in the atmosphere may be, still they have an immense significance in nature.[ ] [ ] amongst them we may mention iodine and alcohol, c_{ }h_{ }o, which müntz found to be always present in air, the soil, and water, although in minute traces only. [ ] a portion of the atmospheric dust is of cosmic origin; this is undoubtedly proved by the fact of its containing metallic iron as do meteorites. nordenskiöld found iron in the dust covering snow, and tissandier in every kind of air, although naturally in very small quantities. [ ] the idea of the spontaneous growth of organisms in a suitable medium, although still upheld by many, has since the work of pasteur and his followers (and to a certain extent of his predecessors) been discarded, because it has been proved how, when, and whence (from the air, water, &c.) the germs appear; that fermentation as well as infectious diseases cannot take place without them; and chiefly because it has been shown that any change accompanied by the development of the organisms introduced may be brought about at will by the introduction of the germs into a suitable medium. [ ] in further confirmation of the fact that putrefaction and fermentation depend on germs carried in the air, we may cite the circumstance that poisonous substances destroying the life of organisms stop or hinder the appearance of the above processes. air which has been heated to redness or passed through sulphuric acid no longer contains the germs of organisms, and loses the faculty of producing fermentation and putrefaction. [ ] their presence in the air is naturally due to the diffusion of germs into the atmosphere, and owing to their microscopical dimensions, they, as it were, hang in the air in virtue of their large surfaces compared to their weight. in paris the amount of dust suspended in the air equals from (after rain) to grams per , c.m. of air. thus we see that air contains a great variety of substances. the nitrogen, which is found in it in the largest quantity, has the least influence on those processes which are accomplished by the action of air. the oxygen, which is met with in a lesser quantity than the nitrogen, on the contrary takes a very important part in a number of reactions; it supports combustion and respiration, it brings about decomposition and every process of slow oxidation. the part played by the moisture of air is well known. the carbonic anhydride, which is met with in still smaller quantities, has an immense significance in nature, inasmuch as it serves for the nourishment of plants. the importance of the ammonia and nitric acid is very great, because they are the sources of the nitrogenous substances comprising an indispensable element in all living organisms. and, lastly, the infinitesimal quantity of germs also have a great significance in a number of processes. thus it is not the quantitative but the qualitative relations of the component parts of the atmosphere which determine its importance in nature.[ ] [ ] we see similar cases everywhere. for example, the predominating mass of sand and clay in the soil takes hardly any chemical part in the economy of the soil in respect to the nourishment of plants. the plants by their roots search for substances which are diffused in comparatively small quantities in the soil. if a large quantity of these nourishing substances are removed, then the plants will not develop in the soil, just as animals die in oxygen. air, being a mixture of various substances, may suffer considerable _changes_ in consequence of incidental circumstances. it is particularly necessary to remark those changes in the composition of air which take place in dwellings and in various localities where human beings have to remain during a lengthy period of time. the respiration of human beings and animals alters the air.[ ] a similar deterioration of air is produced by the influence of decomposing organic substances, and especially of substances burning in it.[ ] hence it is necessary to have regard to the purification of the air of dwellings. the renewal of air, the replacing of respired by fresh air, is termed 'ventilation,'[ ] and the removal of foreign and injurious admixtures from the air is called 'disinfection.'[ ] the accumulation of all kinds of impurities in the air of dwellings and cities is the reason why the air of mountains, forests, seas, and non-marshy localities, covered with vegetation or snow, is distinguished for its freshness, and, in all respects, beneficial action. [ ] a man in breathing burns about grams of carbon per hour--that is, he produces about grams, or (as cub.m. of carbonic anhydride weighs about , grams) about / c.m. of carbonic anhydride. the air coming from the lungs contains p.c. of carbonic anhydride by volume. the exhaled air acts as a direct poison, owing to this gas and to other impurities. [ ] for this reason candles, lamps, and gas change the composition of air almost in the same way as respiration. in the burning of kilogram of stearin candles, cubic metres of air are changed as by respiration--that is, p.c. of carbonic anhydride will be formed in this volume of air. the respiration of animals and exhalations from their skins, and especially from the intestines and the excrements and the transformations taking place in them, contaminate the air to a still greater extent, because they introduce other volatile substances besides carbonic anhydride into the air. at the same time that carbonic anhydride is formed the amount of oxygen in the air decreases, and there is noticed the appearance of miasmata which occur in but small quantity, but which are noticeable in passing from fresh air into a confined space full of such adulterated air. the researches of schmidt and leblanc and others show that even with · p.c. of oxygen (instead of · p.c.), when the diminution is due to respiration, air becomes noticeably less fit for respiration, and that the heavy feeling experienced in such air increases with a lesser percentage of oxygen. it is difficult to remain for a few minutes in air containing · p.c. of oxygen. these observations were chiefly obtained by observations on the air of different mines, at different depths below the surface. the air of theatres and buildings full of people also proves to contain less oxygen; it was found on one occasion that at the end of a theatrical representation the air in the stalls contained · p.c. of oxygen, whilst the air at the upper part of the theatre contained only · p.c. the amount of carbonic anhydride in the air may be taken as a measure of its purity (pettenkofer). when it reaches p.c. it is very difficult for human beings to remain long in such air, and it is necessary to set up a vigorous ventilation for the removal of the adulterated air. in order to keep the air in dwellings in a uniformly good state, it is necessary to introduce at least cubic metres of fresh air per hour per person. we saw that a man exhales about five-twelfths of a cubic metre of carbonic anhydride per day. accurate observations have shown that air containing one-tenth p.c. of exhaled carbonic anhydride (and consequently also a corresponding amount of the other substances evolved together with it) is not felt to be oppressive; and therefore the five-twelfth cubic metres of carbonic anhydride should be diluted with cubic metres of fresh air if it be desired to keep not more than one-tenth p.c. (by volume) of carbonic anhydride in the air. hence a man requires cubic metres of air per day, or cubic metres per hour. with the introduction of only cubic metres of fresh air per person, the amount of carbonic anhydride may reach one-fifth p.c., and the air will not then be of the requisite freshness. [ ] the _ventilation_ of inhabited buildings is most necessary, and is even indispensable in hospitals, schools, and similar buildings. in winter it is carried on by the so-called calorifiers or stoves heating the air before it enters. the best kind of calorifiers in this respect are those in which the fresh cold air is led through a series of pipes heated by the hot gases coming from a stove. in ventilation, particularly during winter, care is taken that the incoming air shall be moist, because in winter the amount of moisture in the air is very small. ventilation, besides introducing fresh air into a dwelling-place, must also withdraw the air already spoilt by respiration and other causes--that is, it is necessary to construct channels for the escape of the bad air, besides those for the introduction of fresh air. in ordinary dwelling-places, where not many people are congregated, the ventilation is conducted by natural means, in the heating by fires, through crevices, windows, and various orifices in walls, doors, and windows. in mines, factories, and workrooms ventilation is of the greatest importance. animal vitality may still continue for a period of several minutes in air containing up to p.c. of carbonic anhydride, if the remaining p.c. consist of ordinary air; but respiration ceases after a certain time, and death may even ensue. the flame of a candle is very easily extinguished in an atmosphere containing from to p.c. of carbonic anhydride, but animal vitality can be sustained in it for a somewhat long time, although the effect of such air is exceedingly painful even to the lower animals. there are mines in which a lighted candle easily goes out from the excess of carbonic anhydride, but in which the miners have to remain for a long time. the presence of p.c. of carbonic oxide is deadly even to cold-blooded animals. the air in the galleries of a mine where blasting has taken place, is known to produce a state of insensibility resembling that produced by charcoal fumes. deep wells and vaults not unfrequently contain similar substances, and their atmosphere often causes suffocation. the atmospheres of such places cannot be tested by lowering a lighted candle into it, as these poisonous gases would not extinguish the flame. this method only suffices to indicate the amount of carbonic anhydride. if a candle keeps alight, it signifies that there is less than p.c. of this gas. in doubtful cases it is best to lower a dog or other animal into the air to be tested. if co_{ } be very carefully added to air, the flame of a candle is not extinguished (although it becomes very much smaller) even when the gas amounts to p.c. of air. researches made by f. clowes ( ) show that the flames (in every case / in. long) of different combustible substances are extinguished by the gradual addition of different percentages of nitrogen and carbonic acid to the air; the percentage sufficient to extinguish the flame being as follows (the percentage of oxygen is given in parenthesis): p.c. co_{ } p.c. n. absolute alcohol ( · ) ( · ) candle ( · ) ( · ) hydrogen ( · ) ( · ) coal gas ( · ) ( · ) carbonic oxide ( · ) ( · ) methane ( · ) ( · ) the flames of all solid and liquid substances is extinguished by almost the same percentage of co_{ } or n_{ }, but the flames of different gases vary in this respect, and hydrogen continues to burn in mixtures which are far poorer in oxygen than those in which the flames of other combustible gases are extinguished; the flame of methane ch_{ } is the most easily extinguished. the percentage of nitrogen may be greater than that of co_{ }. this, together with the fact that, under the above circumstances, the flame of a gas before going out becomes fainter and increases in size, seems to indicate that the chief reason for the extinction of the flame is the fall in its temperature. [ ] different so-called disinfectants purify the air, and prevent the injurious action of certain of its components by changing or destroying them. disinfection is especially necessary in those places where a considerable amount of volatile substances are evolved into the air, and where organic substances are decomposed; for instance, in hospitals, closets, &c. the numerous disinfectants are of the most varied nature. they may be divided into oxidising, antiseptic, and absorbent substances. to the oxidising substances used for disinfection belong chlorine, and various substances evolving it, because chlorine in the presence of water oxidises the majority of organic substances, and this is why chlorine is used as a disinfectant for siberian plagues. further, to this class belong the permanganates of the alkalis and peroxide of hydrogen, as substances easily oxidising matters dissolved in water; these salts are not volatile like chlorine, and therefore act much more slowly, and in a much more limited sphere. antiseptic substances are those which convert organic substances into such as are little prone to change, and prevent putrefaction and fermentation. they most probably kill the germs of organisms occurring in miasmata. the most important of these substances are creosote and phenol (carbolic acid), which occur in tar, and act in preserving smoked meat. phenol is a substance little soluble in water, volatile, oily, and having the characteristic smell of smoked objects. its action on animals in considerable quantities is injurious, but in small quantities, used in the form of a weak solution, it prevents the change of animal matter. the smell of privies, which depends on the change of excremental matter, may be easily removed by means of chlorine or phenol. salicylic acid, thymol, common tar, and especially its solution in alkalis as proposed by nensky, &c., are also substances having the same property. absorbent substances are of no less importance, especially as preventatives, than the preceding two classes of disinfectants, inasmuch as they are innocuous. they are those substances which absorb the odoriferous gases and vapours emitted during putrefaction, which are chiefly ammonia, sulphuretted hydrogen, and other volatile compounds. to this class belong charcoal, certain salts of iron, gypsum, salts of magnesia, and similar substances, as well as peat, mould, and clay. questions of disinfection and ventilation appertain to the most serious problems of common life and hygiene. these questions are so vast that we are here able only to give a short outline of their nature. chapter vi the compounds of nitrogen with hydrogen and oxygen [illustration: fig. .--the dry distillation of bones on a large scale. the bones are heated in the vertical cylinders c (about - / metre high and centimetres in diameter). the products of distillation pass through the tubes t, into the condenser b, and receiver f. when the distillation is completed the trap h is opened, and the burnt bones are loaded into trucks v. the roof m is then opened, and the cylinders are charged with a fresh quantity of bones. the ammonia water is preserved, and goes to the preparation of ammoniacal salts, as described in the following drawing.] in the last chapter we saw that nitrogen does not directly combine with hydrogen, but that a mixture of these gases in the presence of hydrochloric acid gas, hcl, forms ammonium chloride, nh_{ }cl, on the passage of a series of electric sparks.[ ] in ammonium chloride, hcl is combined with nh_{ }, consequently n with h_{ } forms ammonia.[ ] almost all the _nitrogenous substances of plants and animals_ evolve ammonia when heated with an alkali. but even without the presence of an alkali the majority of nitrogenous substances, when decomposed or heated with a limited supply of air, evolve their nitrogen, if not entirely, at all events partially, in the form of ammonia. when animal substances such as skins, bones, flesh, hair, horns, &c., are heated without access of air in iron retorts--they undergo what is termed dry distillation. a portion of the resultant substances remains in the retort and forms a carbonaceous residue, whilst the other portion, in virtue of its volatility, escapes through the tube leading from the retort. the vapours given off, on cooling, form a liquid which separates into two layers; the one, which is oily, is composed of the so-called animal oils (_oleum animale_): the other, an aqueous layer, contains a solution of ammonia salts. if this solution be mixed with lime and heated, the lime takes up the elements of carbonic acid from the ammonia salts, and ammonia is evolved as a gas.[ ] in ancient times ammonia compounds were imported into europe from egypt, where they were prepared from the soot obtained in the employment of camels' dung as fuel in the locality of the temple of jupiter ammon (in lybia), and therefore the salt obtained was called 'sal-ammoniacale,' from which the name of ammonia is derived. at the present time ammonia is obtained exclusively, on a large scale, either from the products of the dry distillation of animal or vegetable refuse, from urine, or from the ammoniacal liquors collected in the destructive distillation of coal for the preparation of coal gas. this ammoniacal liquor is placed in a retort with lime and heated; the ammonia is then evolved together with steam.[ ] in the arts, only a small amount of ammonia is used in a free state--that is, in an aqueous solution; the greater portion of it is converted into different salts having technical uses, especially sal-ammoniac, nh_{ }cl, and ammonium sulphate, (nh_{ })_{ }so_{ }. they are saline substances which are formed because ammonia, nh_{ }, combines with all acids, hx, forming ammonia salts, nh_{ }x. sal-ammoniac, nh_{ }cl, is a compound of ammonia with hydrochloric acid. it is prepared by passing the vapours of ammonia and water, evolved, as above described, from ammoniacal liquor, into an aqueous solution of hydrochloric acid, and on evaporating the solution sal-ammoniac is obtained in the form of soluble crystals[ ] resembling common salt in appearance and properties. ammonia may be very easily prepared _from_ this _sal-ammoniac_, nh_{ }cl, as from any other ammoniacal salt, by heating it with lime. calcium hydroxide, cah_{ }o_{ }, as an alkali takes up the acid and sets free the ammonia, forming calcium chloride, according to the equation nh_{ }cl + cah_{ }o_{ } = h_{ }o + cacl_{ } + nh_{ }. in this reaction the ammonia is evolved as a gas.[ ] [illustration: fig. .--method of abstracting ammonia, on a large scale, from ammonia water obtained at gas works by the dry distillation of coal, or by the fermentation of urine, &c. this water is mixed with lime and poured into the boiler c´´, and from thence into c´ and c consecutively. the last boiler is heated directly over a furnace, and hence no ammonia remains in solution after the liquid has been boiled in it. the liquid is therefore then thrown away. the ammonia vapour and steam pass from the boiler c, through the tube t, into the boiler c´, and then into c´´, so that the solution in c´ becomes stronger than that in c, and still stronger in c´´. the boilers are furnished with stirrers a, a´, and a´´ to prevent the lime settling. from c´´ the ammonia and steam pass through the tube t´´ into worm condensers surrounded with cold water, thence into the woulfe's bottle p, where the solution of ammonia is collected, and finally the still uncondensed ammonia vapour is led into the flat vessel r, containing acid which absorbs the last traces of ammonia.] [ ] the ammonia in the air, water, and soil proceeds from the decomposition of the nitrogenous substances of plants and animals, and also probably from the reduction of nitrates. ammonia is always formed in the rusting of iron. its formation in this case depends in all probability on the decomposition of water, and on the action of the hydrogen at the moment of its evolution on the nitric acid contained in the air (cloez), or on the formation of ammonium nitrite, which takes place under many circumstances. the evolution of vapours of ammonia compounds is sometimes observed in the vicinity of volcanoes. at a red heat nitrogen combines directly with b ca mg, and with many other metals, and these compounds, when heated with a caustic alkali, or in the presence of water, give ammonia (_see_ chapter xiv., note , and chapter xvii., note ). these are examples of the indirect combination of nitrogen with hydrogen. [ ] if a silent discharge or a series of electric sparks be passed through ammonia gas, it is decomposed into nitrogen and hydrogen. this is a phenomenon of dissociation; therefore, a series of sparks do not totally decompose the ammonia, but leave a certain portion undecomposed. one volume of nitrogen and three volumes of hydrogen are obtained from two volumes of ammonia decomposed. ramsay and young ( ) investigated the decomposition of nh_{ } under the action of heat, and showed that at °, - / p.c. is decomposed, at ° about p.c., at ° p.c., but these results were hardly free from the influence of 'contact.' the _presence_ of free ammonia--that is, ammonia not combined with acids--in a gas or aqueous solution may be recognised by its characteristic smell. but many ammonia salts do not possess this smell. however, on the addition of an alkali (for instance, caustic lime, potash, or soda), they evolve ammonia gas, especially when heated. the presence of ammonia may be made visible by introducing a substance moistened with strong hydrochloric acid into its neighbourhood. a white cloud, or visible white vapour, then makes its appearance. this depends on the fact that both ammonia and hydrochloric acid are volatile, and on coming into contact with each other produce solid sal-ammoniac, nh_{ }cl, which forms a cloud. this test is usually made by dipping a glass rod into hydrochloric acid, and holding it over the vessel from which the ammonia is evolved. with small amounts of ammonia this test is, however, untrustworthy, as the white vapour is scarcely observable. in this case it is best to take paper moistened with mercurous nitrate, hgno_{ }. this paper turns black in the presence of ammonia, owing to the formation of a black compound of ammonia with mercurous oxide. the smallest traces of ammonia (for instance, in river water) may be detected by means of the so-called nessler's reagent, containing a solution of mercuric chloride and potassium iodide, which forms a brown coloration or precipitate with the smallest quantities of ammonia. it will be useful here to give the thermochemical data (in thousands of units of heat, according to thomsen), or the quantities of heat _evolved_ in the formation of ammonia and its compounds in quantities expressed by their formulæ. thus, for instance, (n + h_{ }) · indicates that grams of nitrogen in combining with grams of hydrogen develop sufficient heat to raise the temperature of · kilograms of water °. (nh_{ } + nh_{ }o) · (heat of solution); (nh_{ },nh_{ }o + hcl,nh_{ }o) · ; (n + h_{ } + cl) · ; (nh_{ } + hcl) · . [ ] the same ammonia water is obtained, although in smaller quantities, in the dry distillation of plants and of coal, which consists of the remains of fossil plants. in all these cases the ammonia proceeds from the destruction of the complex nitrogenous substances occurring in plants and animals. the ammonia salts employed in the arts are prepared by this method. [ ] the technical methods for the preparation of ammonia water, and for the extraction of ammonia from it, are to a certain extent explained in the figures accompanying the text. [ ] usually these crystals are sublimed by heating them in crucibles or pots, when the vapours of sal-ammoniac condense on the cold covers as a crust, in which form the salt comes into the market. [ ] on a small scale ammonia may be prepared in a glass flask by mixing equal parts by weight of slaked lime and finely-powdered sal-ammoniac, the neck of the flask being connected with an arrangement for drying the gas obtained. in this instance neither calcium chloride nor sulphuric acid can be used for drying the gas, since both these substances absorb ammonia, and therefore solid caustic potash, which is capable of retaining the water, is employed. the gas-conducting tube leading from the desiccating apparatus is introduced into a mercury bath, if dry gaseous ammonia be required, because water cannot be employed in collecting ammonia gas. ammonia was first obtained in this dry state by priestley, and its composition was investigated by berthollet at the end of the last century. oxide of lead mixed with sal-ammoniac (isambert) evolves ammonia with still greater ease than lime. the cause and process of the decomposition are almost the same, pbo + nh_{ }cl = pb_{ }ocl_{ } + h_{ }o + nh_{ }. lead oxychloride is (probably) formed. it must be observed that all the complex nitrogenous substances of plants, animals, and soils are decomposed when heated with an excess of sulphuric acid, the whole of their nitrogen being converted into ammonium sulphate, from which it may be liberated by treatment with an excess of alkali. this reaction is so complete that it forms the basis of kjeldahl's method for estimating the amount of nitrogen in its compounds. ammonia is a colourless gas, resembling those with which we are already acquainted in its outward appearance, but clearly distinguishable from any other gas by its very characteristic and pungent smell. it irritates the eyes, and it is positively impossible to inhale it. animals die in it. its density, referred to hydrogen, is · ; hence it is lighter than air. it belongs to the class of gases which are easily liquefied.[ ] faraday employed the following method for liquefying ammonia. ammonia when passed over dry silver chloride, agcl, is absorbed by it to a considerable extent, especially at low temperatures.[ ] the solid compound agcl, nh_{ } thus obtained is introduced into a bent tube (fig. ), whose open end c is then fused up. the compound is then slightly heated at _a_, and the ammonia comes off, owing to the easy dissociation of the compound. the other end of the tube is immersed in a freezing mixture. the pressure of the gas coming off, combined with the low temperature at one end of the tube, causes the ammonia evolved to condense into a liquid, in which form it collects at the cold end of the tube. if the heating be stopped, the silver chloride again absorbs the ammonia. in this manner one tube may serve for repeated experiments. ammonia may also be liquefied by the ordinary methods--that is, by means of pumping dry ammonia gas into a refrigerated space. liquefied ammonia is a colourless and very mobile liquid,[ ] whose specific gravity at ° is · (e. andréeff). at the temperature (about - °) given by a mixture of liquid carbonic anhydride and ether, liquid ammonia crystallises, and in this form its odour is feeble, because at so low a temperature its vapour tension is very inconsiderable. the boiling point (at a pressure of mm.) of liquid ammonia is about - °. hence this temperature may be obtained at the ordinary pressure by the evaporation of liquefied ammonia. [illustration: fig. .--the liquefaction of ammonia in a thick bent glass tube. a compound of chloride of silver and ammonia is placed in the end _a_, and the end _c_ is then sealed up.] [ ] [illustration: fig. .--carré's apparatus. described in text.] this is evident from the fact that its absolute boiling point lies at about + ° (chapter ii., note ). it may therefore be liquefied by pressure alone at the ordinary, and even at much higher temperatures. the latent heat of evaporation of parts by weight of ammonia equals , units of heat, and hence liquid ammonia may be employed for the production of cold. strong aqueous solutions of ammonia, which in parting with their ammonia act in a similar manner, are not unfrequently employed for this purpose. suppose a saturated solution of ammonia to be contained in a closed vessel furnished with a receiver. if the ammoniacal solution be heated, the ammonia, with a small quantity of water, will pass off from the solution, and in accumulating in the apparatus will produce a considerable pressure, and will therefore liquefy in the cooler portions of the receiver. hence liquid ammonia will be obtained in the receiver. the heating of the vessel containing the aqueous solution of ammonia is then stopped. after having been heated it contains only water, or a solution poor in ammonia. when once it begins to cool the ammonia vapours commence dissolving in it, the space becomes rarefied, and a rapid vaporisation of the liquefied ammonia left in the receiver takes place. in evaporating in the receiver it will cause the temperature in it to fall considerably, and will itself pass into the aqueous solution. in the end, the same ammoniacal solution as originally taken is re-obtained. thus, in this case, on heating the vessel the pressure increases by itself, and on cooling it diminishes, so that here heat directly replaces mechanical work. this is the principle of the simplest forms of _carré's ice-making machines_, shown in fig. . c is a vessel made of boiler plates into which the saturated solution of ammonia is poured; m is a tube conducting the ammonia vapour to the receiver a. all parts of the apparatus should be hermetically joined together, and should be able to withstand a pressure reaching ten atmospheres. the apparatus should be freed from air, which would otherwise hinder the liquefaction of the ammonia. the process is carried on as follows:--the apparatus is first so inclined that any liquid remaining in a may flow into c. the vessel c is then placed upon a stove f, and heated until the thermometer _t_ indicates a temperature of ° c. during this time the ammonia has been expelled from c, and has liquefied in a. in order to facilitate the liquefaction, the receiver a should be immersed in a tank of water r (_see_ the left-hand drawing in fig. ). after about half an hour, when it may be supposed that the ammonia has been expelled, the fire is removed from under c, and this is now immersed in the tank of water r. the apparatus is represented in this position in the right-hand drawing of fig. . the liquefied ammonia then evaporates, and passes over into the water in c. this causes the temperature of a to fall considerably. the substance to be refrigerated is placed in a vessel g, in the cylindrical space inside the receiver a. the refrigeration is also kept on for about half an hour, and with an apparatus of ordinary dimensions (containing about two litres of ammonia solution), five kilograms of ice are produced by the consumption of one kilogram of coal. in industrial works more complicated types of carré's machines are employed. [ ] below ° (according to isambert), the compound agcl, nh_{ } is formed, and above ° the compound agcl, nh_{ }. the tension of the ammonia evolved from the latter substance is equal to the atmospheric pressure at °, whilst for agcl, nh_{ } the pressures are equal at about °; consequently, at higher temperatures it is greater than the atmospheric pressure, whilst at lower temperatures the ammonia is absorbed and forms this compound. consequently, all the phenomena of dissociation are here clearly to be observed. joannis and croisier ( ) investigated similar compounds with agbr, agi, agcn and agno_{ }, and found that they all give definite compounds with nh_{ }, for instance agbr, nh_{ }, agbr, nh_{ } and agbr, nh_{ }; they are all colourless, solid substances which decompose under the atmospheric pressure at + · , + ° and + °. [ ] the liquefaction of ammonia may be accomplished without an increase of pressure, by means of refrigeration alone, in a carefully prepared mixture of ice and calcium chloride (because the absolute boiling point of nh_{ } is high, about + °). it may even take place in the severe frosts of a russian winter. the application of liquid ammonia as a motive power for engines forms a problem which has to a certain extent been solved by the french engineer tellier. ammonia, containing, as it does, much hydrogen, is _capable of combustion_; it does not, however, burn steadily, and sometimes not at all, in ordinary atmospheric air. in pure oxygen it burns with a greenish-yellow flame,[ ] forming water, whilst the nitrogen set free gives its oxygen compounds--that is, oxides of nitrogen. the decomposition of ammonia into hydrogen and nitrogen not only takes place at a red heat and under the action of electric sparks, but also by means of many oxidising substances; for instance, by passing ammonia through a tube containing red-hot copper oxide. the water thus formed may be collected by substances absorbing it, and the quantity of nitrogen may be measured in a gaseous form, and thus the composition of ammonia determined. in this manner it is very easy to prove that ammonia contains parts by weight of hydrogen to parts by weight of nitrogen; and, by volume, vols. of hydrogen and vol. of nitrogen form vols. of ammonia.[ ] [ ] the combustion of ammonia in oxygen may be effected by the aid of platinum. a small quantity of an aqueous solution of ammonia, containing about p.c. of the gas, is poured into a wide-necked beaker of about one litre capacity. a gas-conducting tube about mm. in diameter, and supplying oxygen, is immersed in the aqueous solution of ammonia. but before introducing the gas an incandescent platinum spiral is placed in the beaker; the ammonia in the presence of the platinum is oxidised and burns, whilst the platinum wire becomes still more incandescent. the solution of ammonia is heated, and oxygen passed through the solution. the oxygen, as it bubbles off from the ammonia solution, carries with it a part of the ammonia, and this mixture explodes on coming into contact with the incandescent platinum. this is followed by a certain cooling effect, owing to the combustion ceasing, but after a short interval this is renewed, so that one feeble explosion follows after another. during the period of oxidation without explosion, white vapours of ammonium nitrite and red-brown vapours of oxides of nitrogen make their appearance, while during the explosion there is complete combustion and consequently water and nitrogen are formed. [ ] this may be verified by their densities. nitrogen is times denser than hydrogen, and ammonia is - / times. if volumes of hydrogen with volume of nitrogen gave volumes of ammonia, then these volumes would weigh times as much as volume of hydrogen; consequently volume of ammonia would be - / times heavier than the same volume of hydrogen. but if these volumes only give volumes of ammonia, the latter will be - / times as dense as hydrogen, which is found to be actually the case. ammonia is capable of combining with a number of substances, forming, like water, substances of various degrees of stability. it is more soluble than any of the gases yet described, both in water and in many aqueous solutions. we have already seen, in the first chapter, that one volume of water, at the ordinary temperature, dissolves about vols. of ammonia gas. the great solubility of ammonia enables it to be always kept ready for use in the form of an aqueous solution,[ ] which is commercially known as _spirits of hartshorn_. ammonia water is continually evolving ammoniacal vapour, and so has the characteristic smell of ammonia itself. it is a very characteristic and important fact that ammonia has an alkaline reaction, and colours litmus paper blue, just like caustic potash or lime; it is therefore sometimes called _caustic ammonia_ (volatile alkali). acids may be saturated by ammonia water or gas in exactly the same way as by any other alkali. in this process _ammonia combines directly with acids_, and this forms the most essential chemical reaction of this substance. if sulphuric, nitric, acetic, or any other acid be brought into contact with ammonia it absorbs it, and in so doing evolves a large amount of heat and forms a compound having all the properties of a salt. thus, for example, sulphuric acid, h_{ }so_{ }, in absorbing ammonia, forms (on evaporating the solution) two salts, according to the relative quantities of ammonia and acid. one salt is formed from nh_{ } + h_{ }so_{ }, and consequently has the composition nh_{ }so_{ }, and the other is formed from nh_{ } + h_{ }so_{ }, and its composition is therefore n_{ }h_{ }so_{ }. the former has an acid reaction and the latter a neutral reaction, and they are called respectively acid ammonium sulphate (ammonium hydrogen sulphate), and normal ammonium sulphate, or simply ammonium sulphate. the same takes place in the action of all other acids; but certain of them are able to form normal ammonium salts only, whilst others give both acid and normal ammonium salts. this depends on the nature of the acid and not on the ammonia, as we shall afterwards see. ammonium salts are very similar in appearance and in many of their properties to metallic salts; for instance, sodium chloride, or table salt, resembles sal-ammoniac, or ammonium chloride, not only in its outward appearance but even in crystalline form, in its property of giving precipitates with silver salts, in its solubility in water, and in its evolving hydrochloric acid when heated with sulphuric acid--in a word, a most perfect analogy is to be remarked in an entire series of reactions. an analogy in composition is seen if sal-ammoniac, nh_{ }cl, be compared with table salt, nacl; and the ammonium hydrogen sulphate, nh_{ }hso_{ }, with the sodium hydrogen sulphate, nahso_{ }; or ammonium nitrate, nh_{ }no_{ }, with sodium nitrate, nano_{ }.[ ] it is seen, on comparing the above compounds, that the part which sodium takes in the sodium salts is played in ammonium salts by a group nh_{ }, which is called _ammonium_. if table salt be called 'sodium chloride,' then sal-ammoniac should be and is called 'ammonium chloride.' [ ] aqueous solutions of ammonia are lighter than water, and at °, taking water at ° = , , their specific gravity, as dependent on _p_, or the percentage amount (by weight) of ammonia, is given by the expression _s_ = , - · _p_ + · _p_^ ; for instance, with p.c. _s_ = , . if _t_ represents the temperature between the limits of + ° and + °, then the expression ( -_t_)( · + · _p_) must be added to the formula for the specific gravity. solutions containing more than p.c. have not been sufficiently investigated in respect to the variation of their specific gravity. it is, however, easy to obtain more concentrated solutions, and at ° solutions approaching nh_{ },h_{ }o ( · p.c. nh_{ }) in their composition, and of sp. gr. · , may be prepared. but such solutions give up the bulk of their ammonia at the ordinary temperature, so that more than p.c. nh_{ } is rarely contained in solution. ammoniacal solutions containing a considerable amount of ammonia give ice-like crystals which seem to contain ammonia at temperatures far below ° (for instance, an p.c. solution at - °, the strongest solutions at - °). the whole of the ammonia may be expelled from a solution by heating, even at a comparatively low temperature; hence on heating aqueous solutions containing ammonia a very strong solution of ammonia is obtained in the distillate. alcohol, ether, and many other liquids are also capable of dissolving ammonia. solutions of ammonia, when exposed to the atmosphere, give off a part of their ammonia in accordance with the laws of the solution of gases in liquids, which we have already considered. but the ammoniacal solutions at the same time absorb carbonic anhydride from the air, and ammonium carbonate remains in the solution. [illustration: fig. .--apparatus for preparing solutions of ammonia.] solutions of ammonia are required both for laboratory and factory operations, and have therefore to be frequently prepared. for this purpose the arrangement shown in fig. is employed in the laboratory. in works the same arrangement is used, only on a larger scale (with earthenware or metallic vessels). the gas is prepared in the retort, from whence it is led into the two-necked globe a, and then through a series of woulfe's bottles, b, c, d, e. the impurities spurting over collect in a, and the gas is dissolved in b, but the solution soon becomes saturated, and a purer (washed) ammonia passes over into the following vessels, in which only a pure solution is obtained. the bent funnel tube in the retort preserves the apparatus from the possibility both of the pressure of the gas evolved in it becoming too great (when the gas escapes through it into the air), and also from the pressure incidentally falling too low (for instance, owing to a cooling effect, or from the reaction stopping). if this takes place, the air passes into the retort, otherwise the liquid from b would be drawn into a. the safety tubes in each woulfe's bottle, open at both ends, and immersed in the liquid, serve for the same purpose. without them, in case of an accidental stoppage in the evolution of so soluble a gas as ammonia, the solution would be sucked from one vessel to another--for instance, from e into d, &c. in order to clearly see the necessity for _safety tubes_ in a gas apparatus, it must be remembered that the _gaseous pressure_ in the interior of the arrangement must exceed the atmospheric pressure by the height of the sum of the columns of liquid through which the gas has to pass. [ ] the analogy between the ammonium and sodium salts might seem to be destroyed by the fact that the latter are formed from the alkali or oxide and an acid, with the separation of water, whilst the ammonium salts are directly formed from ammonia and an acid, without the separation of water; but the analogy is restored if we compare soda to ammonia water, and liken caustic soda to a compound of ammonia with water. then the very preparation of ammonium salts from such a hydrate of ammonia will completely resemble the preparation of sodium salts from soda. we may cite as an example the action of hydrochloric acid on both substances. naho + hcl = h_{ }o + nacl sodium hydroxide hydrochloric acid water table salt nh_{ }ho + hcl = h_{ } + nh_{ }cl ammonium hydroxide hydrochloric acid water sal-ammoniac just as in soda the hydroxyl or aqueous radicle oh is replaced by chlorine, so it is in ammonia hydrate. the hypothesis that ammoniacal salts correspond with a complex metal ammonium bears the name of the _ammonium theory_. it was enunciated by the famous swedish chemist berzelius after the proposition made by ampère. the analogy admitted between ammonium and metals is probable, owing to the fact that mercury is able to form an amalgam with ammonium similar to that which it forms with sodium or many other metals. the only difference between ammonium amalgam and sodium amalgam consists in the instability of the ammonium, which easily decomposes into ammonia and hydrogen.[ ] ammonium amalgam may be prepared from sodium amalgam. if the latter be shaken up with a strong solution of sal-ammoniac, the mercury swells up violently and loses its mobility whilst preserving its metallic appearance. in so doing, the mercury dissolves ammonium--that is, the sodium in the mercury is replaced by the ammonium, and replaces it in the sal-ammoniac, forming sodium chloride, nh_{ }cl + hgna = nacl + hgnh_{ }. naturally, the formation of ammonium amalgam does not entirely prove the existence of ammonium itself in a separate state; but it shows the possibility of this substance existing, and its analogy with the metals, because only metals dissolve in mercury.[ ] ammonium amalgam crystallises in cubes, three times heavier than water; it is only stable in the cold, and particularly at very low temperatures. it begins to decompose at the ordinary temperature, evolving ammonia and hydrogen in the proportion of two volumes of ammonia and one volume of hydrogen, nh_{ } = nh_{ } + h. by the action of water, ammonium amalgam gives hydrogen and ammonia water, just as sodium amalgam gives hydrogen and sodium hydroxide; and therefore, in accordance with the ammonium theory, ammonia water must be looked on as containing ammonium hydroxide, nh_{ }oh,[ ] just as an aqueous solution of sodium hydroxide, contains naoh. the ammonium hydroxide, like ammonium itself, is an unstable substance, which easily dissociates, and can only exist in a free state at low temperatures.[ ] ordinary solutions of ammonia must be looked on as the products of the dissociation of this hydroxide, inasmuch as nh_{ }oh = nh_{ } + h_{ }o. [ ] weyl ( ) by subjecting sodium to the action of ammonia at the ordinary temperature and under considerable pressures, obtained a liquid, which was subsequently investigated by joannis ( ), who confirmed the results obtained by weyl. at ° and the atmospheric pressure the composition of this substance is na + · nh_{ }. the removal (at °) of ammonia from the liquid gives a solid copper-red body having the composition nh_{ }na. the determination of the molecular weight of this substance by the fall of the tension of liquid ammonia gave n_{ }h_{ }na_{ }. it is, therefore, free ammonium in which one h is replaced by na. the compound with potassium, obtained under the same conditions, proved to have an analogous composition. by the decomposition of nh_{ }na at the ordinary temperature, joannis ( ) obtained hydrogen and sodium-amide nh_{ }na in small colourless crystals which were soluble in water. the addition of liquid ammonia to metallic sodium and a saturated solution of sodium chloride, gives nh_{ }na_{ }cl, and this substance is sal-ammoniac, in which h_{ } is replaced by na_{ }. if pure oxygen be passed through a solution of these compounds in ammonia at a temperature of about - °, it is seen that the gas is rapidly absorbed. the liquid gradually loses its dark red colour and becomes lighter, and when it has become quite colourless a gelatinous precipitate is thrown down. after the removal of the ammonia, this precipitate dissolves easily in water with a considerable evolution of heat, but without giving off any gaseous products. the composition of the sodium compound thus obtained is nh_{ }na_{ }ho, which shows that it is a hydrate of bisodium-ammonium. thus, although free ammonium has not been obtained, still a sodium substitution product of it is known which corresponds to it as a salt to a hydrate. ammonium amalgam was originally obtained in exactly the same way as sodium amalgam (davy); namely, a piece of sal-ammoniac was taken, and moistened with water (in order to render it a conductor of electricity). a cavity was made in it, into which mercury was poured, and it was laid on a sheet of platinum connected with the positive pole of a galvanic battery, while the negative pole was put into connection with the mercury. on passing a current the mercury increased considerably in volume, and became plastic, whilst preserving its metallic appearance, just as would be the case were the sal-ammoniac replaced by a lump of a sodium salt or of many other metals. in the analogous decomposition of common metallic salts, the metal contained in a given salt separates out at the negative pole, immersed in mercury, by which the metal is dissolved. a similar phenomenon is observed in the case of sal-ammoniac; the elements of ammonium, nh_{ }, in this case are also collected in the mercury, and are retained by it for a certain time. [ ] we may mention, however, that under particular conditions hydrogen is also capable of forming an amalgam resembling the amalgam of ammonium. if an amalgam of zinc be shaken up with an aqueous solution of platinum chloride, without access of air, then a spongy mass is formed which easily decomposes, with the evolution of hydrogen. [ ] we saw above that the solubility of ammonia in water at low temperatures attains to the molecular ratio nh_{ } + h_{ }o, in which these substances are contained in caustic ammonia, and perhaps it may be possible at exceedingly low temperatures to obtain ammonium hydroxide, nh_{ }ho, in a solid form. regarding solutions as dissociated definite compounds, we should see a confirmation of this view in the property shown by ammonia of being extremely soluble in water, and in so doing of approaching to the limit nh_{ }ho. [ ] in confirmation of the truth of this conclusion we may cite the remarkable fact that there exist, in a free state and as comparatively stable compounds, a series of alkaline hydroxides, nr_{ }ho, which are perfectly analogous to ammonium hydroxide, and present a striking resemblance to it and to sodium hydroxide, with the only difference that the hydrogen in nh_{ }ho is replaced by complex groups, r = ch_{ }, c_{ }h_{ }, &c., for instance n(ch_{ })_{ }ho. details will be found in organic chemistry. all ammoniacal salts _decompose at a red heat_ into ammonia and an acid, which, on cooling in contact with each other, re-combine together. if the acid be non-volatile, the ammoniacal salt, when heated, evolves the ammonia, leaving the non-volatile acid behind; if the acid be volatile, then, on heating, both the acid and ammonia volatilise together, and on cooling re-combine into the salt which originally served for the formation of their vapours.[ ] [ ] the fact that ammoniacal salts are decomposed when ignited, and not simply sublimed, may be proved by a direct experiment with sal-ammoniac, nh_{ }cl, which in a state of vapour is decomposed into ammonia, nh_{ }, and hydrochloric acid, hcl, as will be explained in the following chapter. the readiness with which ammonium salts decompose is seen from the fact that a solution of ammonium oxalate is decomposed with the evolution of ammonia even at - °. dilute solutions of ammonium salts, when boiled give aqueous vapour having an alkaline reaction, owing to the presence of free ammonia given off from the salt. ammonia is not only capable of combining with acids, but also with many salts, as was seen from its forming definite compounds, agcl, nh_{ } and agcl, nh_{ }, with silver chloride. just as ammonia is absorbed by various oxygen salts of the metals, so also is it absorbed by the chlorine, iodine, and bromine compounds of many metals, and in so doing evolves heat. certain of these compounds part with their ammonia even when left exposed to the air, but others only do so at a red heat; many give up their ammonia when dissolved, whilst others dissolve without decomposition, and when evaporated separate from their solutions unchanged. all these facts only indicate that ammoniacal, like aqueous, compounds dissociate with greater or lesser facility.[ ] certain metallic oxides also absorb ammonia and are dissolved in ammonia water. such are, for instance, the oxides of zinc, nickel, copper, and many others; the majority of such compounds are unstable. the property of ammonia of combining with certain oxides explains its action on certain metals.[ ] by reason of such action, copper vessels are not suitable for holding liquids containing ammonia. iron is not acted on by such liquids. [ ] isambert studied the dissociation of ammoniacal compounds, as we have seen in note , and showed that at low temperatures many salts are able to combine with a still greater amount of ammonia, which proves an entire analogy with hydrates; and as in this case it is easy to isolate the definite compounds, and as the least possible tension of ammonia is greater than that of water, therefore the ammoniacal compounds present a great and peculiar interest, as a means for explaining the nature of aqueous solutions and as a confirmation of the hypothesis of the formation of definite compounds in them; for these reasons we shall frequently refer to these compounds in the further exposition of this work. [ ] chapter v., note . the similarity between the relation of ammonia and water to salts and other substances is more especially marked in those cases in which the salt is capable of combining with both ammonia and water. take, for example, copper sulphate, cuso_{ }. as we saw in chapter i., it gives with water blue crystals, cuso_{ }, h_{ }o; but it also absorbs ammonia in the same molecular proportion, forming a blue substance, cuso_{ }, nh_{ }, and therefore the ammonia combining with salts may be termed _ammonia of crystallisation_. such are the _reactions of combination_ proper to ammonia. let us now turn our attention to the reactions of substitution proper to this substance. if ammonia be passed through a heated tube containing metallic sodium, hydrogen is evolved, and a compound is obtained containing ammonia in which one atom of hydrogen is replaced by an atom of sodium, nh_{ }na (according to the equation nh_{ } + na = nh_{ }na + h). this body is termed sodium amide. we shall afterwards see that iodine and chlorine are also capable of directly displacing hydrogen from ammonia, and of replacing it. in fact, the hydrogen of ammonia may be replaced in many ways by different elements. if in this replacement nh_{ } remains, the resultant substances nh_{ }r are called _amides_, whilst the substitution products, nhr_{ }, in which only nh remains, are called _imides_,[ bis] and those in which none of the ammoniacal hydrogen remains, nr_{ }, are known as _nitrides_. free amidogen, n_{ }h_{ }, is now known in a state of hydration under the name of hydrazine;[ ] it combines with acids and resembles ammonia in this respect. in the action of different substances on ammonia it is the _hydrogen that is substituted_, whilst the nitrogen remains in the resultant compound, so to say, untouched. the same phenomenon is to be observed in the action of various substances on water. in the majority of cases the reactions of water consist in the hydrogen being evolved, and in its being replaced by different elements. this also takes place, as we have seen, in acids in which the hydrogen is easily displaced by metals. this chemical mobility of hydrogen is perhaps connected with the great lightness of the atoms of this element. [ bis] imide, nh, has not been obtained in a free state, but its hydrochloric acid salt, nhhcl, has apparently been obtained ( ) by maumené by igniting the double bichloride of platinum and ammonium chloride, ptcl_{ }nh_{ }cl = pt + hcl + nhhcl. it is soluble in water, and crystallises from its solution in hexagonal rhombic prisms. it gives a double salt with fecl_{ } of the composition fecl_{ } nhhcl. the salt nhhcl is similar (isomeric) with the first possible product of the metalepsis of ammonia, nh_{ }cl, although it does not resemble it in any of its properties. [ ] free _amidogen_ or _hydrazine_, n_{ }h_{ }, or nh_{ }, was prepared by curtius ( ) by means of ethyl diazoacetate, or triazoacetic acid. curtius and jay ( ) showed that triazoacetic acid, chn_{ }.cooh (the formula should be tripled), when heated with water or a mineral acid, gives (quantitatively) oxalic acid and amidogen (hydrazine), chn_{ }.cooh + h_{ }o = c_{ }o_{ }(oh)_{ } + n_{ }h_{ }--_i.e._ (empirically), the oxygen of the water replaces the nitrogen of the azoacetic acid. the amidogen is thus obtained in the form of a salt. with acids, amidogen forms very stable salts of the two types n_{ }h_{ }hx and n_[ ]h_{ }h_{ }x_{ }, as, for example, with hcl, h_{ }so_{ }, &c. these salts are easily crystallised; in acid solutions they act as powerful reducing agents, evolving nitrogen; when ignited they are decomposed into ammoniacal salts, nitrogen, and hydrogen; with nitrites they evolve nitrogen. the sulphate n_{ }h_{ },h_{ }so_{ } is sparingly soluble in cold water ( parts in of water), but is very soluble in hot water; its specific gravity is · , it fuses at ° with decomposition. the hydrochloride n_{ }h_{ }, hcl crystallises in octahedra, is very soluble in water, but not in alcohol; it fuses at °, evolving hydrogen chloride and forming the salt n_{ }h_{ }hcl; when rapidly heated it decomposes with an explosion; with platinic chloride it immediately evolves nitrogen, forming platinous chloride. by the action of alkalis the salts n_{ }h_{ }, hx give _hydrate of amidogen_, n_{ }h_{ },h_{ }o, which is a fuming liquid (specific gravity · ), boiling at °, almost without odour, and whose aqueous solution corrodes glass and india-rubber, has an alkaline taste and poisonous properties. the reducing capacities of the hydrate are clearly seen from the fact that it reduces the metals platinum and silver from their solutions. with mercuric oxide it explodes. it reacts directly with the aldehydes ro, forming n_{ }r_{ } and water; for example, with benzaldehydes it gives the very stable insoluble _benzalazine_ (c_{ }h_{ }chn)_{ } of a yellow colour. we may add that hydrazine often forms double salts; for example, mgso_{ }n_{ }h_{ }h_{ }so_{ } or kcln_{ }h_{ }hcl, and that it is also formed by the action of nitrous acid upon aldehyde-ammonia. the products of the substitution of the hydrogen in hydrazine by hydrocarbon groups r (r = ch_{ }, c_{ }h_{ }, c_{ }h_{ }, &c.) were obtained before hydrazine itself; for example, nhrnh_{ }, nr_{ }nh_{ }, and (nrh)_{ }. the heat of solution of the sulphuric acid salt ( part in and parts of water at °· ) is equal to - · c. according to berthelot and matigon ( ), the heat of neutralisation of hydrazine by sulphuric acid is + · c and by hydrochloric acid + · c. thus hydrazine is a very feeble base, for its heat of saturation is not only lower than that of ammonia (+ · c. for hcl), but even below that of hydroxylamine (+ · c.) the heat of formation from the elements of hydrated hydrazine - · c was deduced from the heat of combustion, determined by burning n_{ }h_{ }h_{ }so_{ } in a calorimetric bomb, + · c. thus hydrazine is an endothermal compound; its passage into ammonia by the combination of hydrogen is accompanied by the evolution of · c. in the presence of an acid these figures were greater by + · c. hence the direct converse passage from ammonia into hydrazine is impossible. as regards the passage of hydroxylamine into hydrazine, it would be accompanied by the evolution of heat (+ · c.) in an aqueous solution. amidogen must be regarded as a compound which stands to ammonia in the same relation as hydrogen peroxide stands to water. water, h(oh), gives, according to the law of substitution, as was clearly to be expected, (oh)(oh)--that is, peroxide of hydrogen is the free radicle of water (hydroxyl). so also ammonia, h(nh_{ }), forms hydrazine, (nh_{ })(nh_{ })--that is, the free radicle of ammonia, nh_{ }, or amidogen. in the case of phosphorus a similar substance, as we shall afterwards see, has long been known under the name of liquid phosphuretted hydrogen, p_{ }h_{ }. in practical chemistry[ bis] ammonia is often employed, not only for saturating acids, but also for effecting reactions of double decomposition with salts, and especially for separating insoluble basic hydroxides from soluble salts. let mho stand for an insoluble basic hydroxide and hx for an acid. the salt formed by them will have a composition mho + xh-h_{ }o = mx. if aqueous ammonia, nh_{ }oh, be added to a solution of this salt, the ammonia will change places with the metal m, and thus form the insoluble basic hydroxide, or, as it is said, give a precipitate. mx + nh_{ }(oh) = nh_{ }x + mho salt of the metal. aqueous ammonia. ammonium salt. basic hydrate. in solution in solution in solution as precipitate [ bis] in practice, the applications of ammonia are very varied. the use of ammonia as a stimulant, in the forms of the so-called 'smelling salts' or of spirits of hartshorn, in cases of faintness, &c., is known to everyone. the volatile carbonate of ammonium, or a mixture of an ammonium salt with an alkali, is also employed for this purpose. ammonia also produces a well-known stimulating effect when rubbed on the skin, for which reason it is sometimes employed for external applications. thus, for instance, the well-known volatile salve is prepared from any liquid oil shaken up with a solution of ammonia. a portion of the oil is thus transformed into a soapy substance. the solubility of greasy substances in ammonia, which proceeds from the formation both of emulsions and soaps, explains its use in extracting grease spots. it is also employed as an external application for stings from insects, and for bites from poisonous snakes, and in general in medicine. it is also remarkable that in cases of drunkenness a few drops of ammonia in water taken internally rapidly renders a person sober. a large quantity of ammonia is used in dyeing, either for the solution of certain dyes--for example, carmine--or for changing the tints of others, or else for neutralising the action of acids. it is also employed in the manufacture of artificial pearls. for this purpose the small scales of a peculiar small fish are mixed with ammonia, and the liquid so obtained is blown into small hollow glass beads shaped like pearls. in nature and the arts, however, ammonium salts, and not free ammonia, are most frequently employed. in this form a portion of that _nitrogen_ which is necessary for the formation of albuminous substances is _supplied to plants_. owing to this, a large quantity of ammonium sulphate is now employed as a fertilising substance. but the same effect may be produced by nitre, or by animal refuse, which in decomposing gives ammonia. for this reason, an ammoniacal (hydrogen) compound may be introduced into the soil in the spring which will be converted into a nitrate (oxygen salt) in the summer. thus, for instance, if aqueous ammonia is added to a solution of a salt of aluminium, then alumina hydrate is separated out as a colourless gelatinous precipitate.[ ] [ ] as certain basic hydrates form peculiar compounds with ammonia, in some cases it happens that the first portions of ammonia added to a solution of a salt produce a precipitate, whilst the addition of a fresh quantity of ammonia dissolves this precipitate if the ammoniacal compound of the base be soluble in water. this, for example, takes place with the copper salts. but alumina does not dissolve under these circumstances. in order to grasp the relation between ammonia and the oxygen compounds of nitrogen it is necessary to recognise the general _law of substitution_, applicable to all cases of substitution between elements,[ ] and therefore showing what may be the cases of substitution between oxygen and hydrogen as component parts of water. the law of substitution may be deduced from mechanical principles if the molecule be conceived as a system of elementary atoms occurring in a certain chemical and mechanical equilibrium. by likening the molecule to a system of bodies in a state of motion--for instance, to the sum total of the sun, planets, and satellites, existing in conditions of mobile equilibrium--then we should expect the action of one part, in this system, to be equal and opposite to the other, according to newton's third law of mechanics. hence, given a molecule of a compound, for instance, h_{ }o, nh_{ }, nacl, hcl, &c., its every two parts must in a chemical sense represent two things somewhat alike in force and properties, and therefore _every two parts into which a molecule of a compound may be divided are capable of replacing each other_. in order that the application of the law should become clear it is evident that among compounds the most stable should be chosen. we will therefore take hydrochloric acid and water as the most stable compounds of hydrogen.[ ] according to the above law of substitution, if the elements h and cl are able to form a molecule, hcl, and a stable one, they are able to replace each other. and, indeed, we shall afterwards see (chapter xi.) that in a number of instances a substitution between hydrogen and chlorine can take place. given rh, then rcl is possible, because hcl exists and is stable. the molecule of water, h_{ }o, may be divided in two ways, because it contains atoms: into h and (ho) on the one hand, and into h_{ } and o on the other. consequently, being given rh, its substitution products will be r(ho) according to the first form, and r_{ }o according to the second; being given rh_{ }, its corresponding substitution products will be rh(oh), r(oh)_{ }, ro, (rh)_{ }o, &c. the group (oh) is the same hydroxyl or aqueous radicle which we have already mentioned in the third chapter as a component part of hydroxides and alkalis--for instance, na(oh), ca(oh)_{ }, &c. it is evident, judging from h(ho) and hcl, that (oh) can be substituted by cl, because both are replaceable by h; and this is of common occurrence in chemistry, because metallic chlorides--for example, nacl and nh_{ }cl--correspond with hydroxides of the alkalis na(oh) or nh_{ }(oh). in hydrocarbons--for instance, c_{ }h_{ }--the hydrogen is replaceable by chlorine and by hydroxyl. thus ordinary alcohol is c_{ }h_{ }, in which one atom of h is replaced by (oh); that is, c_{ }h_{ }(oh). it is evident that the replacement of hydrogen by hydroxyl essentially forms the phenomenon of oxidation, because rh gives r(oh), or rho. hydrogen peroxide may in this sense be regarded as water in which the hydrogen is replaced by hydroxyl; h(oh) gives (oh)_{ } or h_{ }o_{ }. the other form of substitution--namely, that of o in the place of h_{ }--is also a common chemical phenomenon. thus alcohol, c_{ }h_{ }o, or c_{ }h_{ }(oh), when oxidising in the air, gives acetic acid, c_{ }h_{ }o_{ }, or c_{ }h_{ }o(oh), in which h_{ } is replaced by o. [ ] when the element chlorine, as we shall afterwards more fully learn, replaces the element hydrogen, the reaction by which such an exchange is accomplished proceeds as a substitution, ah + cl_{ } = acl + hcl, so that two substances, ah and chlorine, react on each other, and two substances, acl and hcl, are formed; and further, two molecules react on each other, and two others are formed. the reaction proceeds very easily, but the substitution of one element, _a_, by another, _x_, does not always proceed with such ease, clearness, or simplicity. the substitution between oxygen and hydrogen is very rarely accomplished by the reaction of the free elements, but the substitution between these elements, one for another, forms the most common case of oxidation and reduction. in speaking of the law of substitution, i have in view the substitution of the elements one by another, and not the direct reaction of substitution. the law of substitution determines the cycle of the combinations of a given element, if a few of its compounds (for instance, the hydrogen compounds) be known. a development of the conceptions of the law of substitution may be found in my lecture given at the royal institution in london, . [ ] if hydrogen peroxide be taken as a starting point, then still higher forms of oxidation than those corresponding with water should be looked for. they should possess the properties of hydrogen peroxide, especially that of parting with their oxygen with extreme ease (even by contact). such compounds are known. pernitric, persulphuric, and similar acids present these properties, as we shall see in describing them. in the further course of this work we shall have occasion to refer to the law of substitution for explaining many chemical phenomena and relations. we will now apply these conceptions to ammonia in order to see its relation to the oxygen compounds of nitrogen. it is evident that many substances should be obtainable from ammonia, nh_{ }, or aqueous ammonia, nh_{ }(oh), by substituting their hydrogen by hydroxyl, or h_{ } by oxygen. and such is the case. the two extreme cases of such substitution will be as follows: ( ) one atom of h in nh_{ } is substituted by (oh), and nh_{ }(oh) is produced. such a substance, still containing much hydrogen, should have many of the properties of ammonia. it is known under the name of _hydroxylamine_,[ ] and, in fact, is capable, like ammonia, of giving salts with acids; for example, with hydrochloric acid, nh_{ }(oh)cl--which is a substance corresponding to sal-ammoniac, in which one atom of hydrogen is replaced by hydroxyl.[ bis] ( ) the other extreme case of substitution is that given by ammonium hydroxide, nh_{ }(oh), when the whole of the hydrogen of the ammonium is replaced by oxygen; and, as ammonium contains atoms of hydrogen, the highest oxygen compound should be no_{ }(oh), or nho_{ }, as we find to be really the case, for nho_{ } is nitric acid, exhibiting the highest degree of oxidation of nitrogen.[ ] if instead of the two extreme aspects of substitution we take an intermediate one, we obtain the intermediate oxygen compounds of nitrogen. for instance, n(oh)_{ } is orthonitrous acid,[ ] to which corresponds nitrous acid, no(oh), or nho_{ }, equal to n(oh)_{ }-h_{ }o, and nitrous anhydride, n_{ }o_{ } = n(oh)_{ }- h_{ }o. thus nitrogen gives a series of oxygen compounds, which we will proceed to describe. we will, however, first show by two examples that in the first place the passage of ammonia into the oxygen compounds of nitrogen up to nitric acid, as well as the converse preparation of ammonia (and consequently of the intermediate compounds also) from nitric acid, are reactions which proceed directly and easily under many circumstances, and in the second place that the above general principle of substitution gives the possibility of understanding many, at first sight unexpected and complex, relations and transformations, such as the preparation of hydronitrous acid, hn_{ }. in nature the matter is complicated by a number of influences and circumstances, but in the law the relations are presented in their simplest aspect. [ ] the compound of hydroxylamine with hydrochloric acid has the composition nh_{ }(oh)hcl = nh_{ }clo--that is, it is as it were oxidised sal-ammoniac. it was prepared by lossen in by the action of tin and hydrochloric acid in the presence of water on a substance called ethyl nitrate, in which case the hydrogen liberated from the hydrochloric acid by the tin acts upon the elements of nitric acid-- c_{ }h_{ }·no_{ } + h + hcl = nh_{ }ocl + h_{ }o + c_{ }h_{ }·oh ethyl nitrate hydrogen hydroxylamine water alcohol from + hcl hcl and sn thus in this case the nitric acid is deoxidised, not directly into nitrogen, but into hydroxylamine. hydroxylamine is also formed by passing nitric oxide, no, into a mixture of tin and hydrochloric acid--that is, by the action of the hydrogen evolved on the nitric oxide, no + h + hcl = nh_{ }ocl--and in many other cases. according to lossen's method, a mixture of parts of ethyl nitrate, parts of tin, and parts of a solution of hydrochloric acid of sp. gr. · are taken. after a certain time the reaction commences spontaneously. when the reaction has ceased the tin is separated by means of hydrogen sulphide, the solution is evaporated, and a large amount of sal-ammoniac is thus obtained (owing to the further action of hydrogen on the hydroxylamine compound, the hydrogen taking up oxygen from it and forming water); a solution ultimately remains containing the hydroxylamine salt; this salt is dissolved in anhydrous alcohol and purified by the addition of platinum chloride, which precipitates any ammonium salt still remaining in the solution. after concentrating the alcoholic solution the hydroxylamine hydrochloride separates in crystals. this substance melts at about °, and in so doing decomposes into nitrogen, hydrogen chloride, water, and sal-ammoniac. a sulphuric acid compound of hydroxylamine may be obtained by mixing a solution of the above salt with sulphuric acid. the sulphate is also soluble in water like the hydrochloride; this shows that hydroxylamine, like ammonia itself, forms a series of salts in which one acid may be substituted for another. it might he expected that by mixing a strong solution of a hydroxylamine salt with a solution of a caustic alkali hydroxylamine itself would be liberated, just as an ammonia salt under these circumstances evolves ammonia; but the liberated hydroxylamine is immediately decomposed with the formation of nitrogen and ammonia (and probably nitrous oxide), nh_{ }o = nh_{ } + h_{ }o + n_{ }. dilute solutions give the same reaction, although very slowly, but by decomposing a solution of the sulphate with barium hydroxide a certain amount of hydroxylamine is obtained in solution (it is partly decomposed). hydroxylamine in aqueous solution, like ammonia, precipitates basic hydrates, and it deoxidises the oxides of copper, silver, and other metals. free hydroxylamine was obtained by lobry de bruyn ( ). it is a solid, colourless, crystalline substance, without odour, which does not melt below °. it has the property of dissolving metallic salts; for instance, sodium chloride. hydroxylamine, when rapidly heated with platinum, decomposes with a flash and the formation of a yellow flame. it is almost insoluble in ordinary solvents like chloroform, benzine, acetic ether, and carbon bisulphide. its aqueous solutions are tolerably stable, contain up to per cent. (sp. gr. · at °), and may be kept for many weeks without undergoing any change. lobry de bruyn used the hydrochloric salt to prepare pure hydroxylamine. the salt was first treated with sodium methylate (ch_{ }nao), and then methyl alcohol was added to the mixture. the precipitated sodium chloride was separated from the solution by filtration. (the methyl alcohol is added to prevent the precipitated chloride of sodium from coating the insoluble hydrochloric salt of hydroxylamine.) the methyl alcohol was driven off under a pressure - mm., and after extracting a further portion of methyl alcohol by ether and several fractional distillations, a solution was obtained containing per cent. of free hydroxylamine, per cent. water, · per cent. chloride of sodium, and · per cent. of the hydrochloric salt of hydroxylamine. pure free hydroxylamine, nh_{ }o, is obtained by distilling under a pressure of mm.; it then boils at °, and solidifies in a condenser cooled to ° in the form of long needles. it melts at °, boils at ° under a pressure of mm., and has a sp. gr. of about · (brühl). under the action of naho it gives nh_{ } and nho_{ } or n_{ }o, and forms nitric acid (kolotoff, ) under the action of oxidising agents. hydroxylamine is obtained in a great number of cases, for instance by the action of tin on dilute nitric acid, and also by the action of zinc on ethyl nitrate and dilute hydrochloric acid, &c. the relation between hydroxylamine, nh_{ }(oh), and nitrous acid, no(oh), which is so clear in the sense of the law of substitutions, becomes a reality in those cases when reducing agents act on salts of nitrous acid. thus raschig ( ) proposed the following method for the preparation of the hydroxylamine sulphate. a mixture of strong solutions of potassium nitrite, kno_{ }, and hydroxide, kho, in molecular proportions, is prepared and cooled. an excess of sulphurous anhydride is then passed into the mixture, and the solution boiled for a long time. a mixture of the sulphates of potassium and hydroxylamine is thus obtained: kno_{ } + kho + so_{ } + h_{ }o = nh_{ }(oh),h_{ }so_{ } + k_{ }so_{ }. the salts may be separated from each other by crystallisation. [ bis] in order to illustrate the application of the law of substitution to a given case, and to show the connection between ammonia and the oxides of nitrogen, let us consider the possible products of an oxygen and hydroxyl substitution in caustic ammonia, nh_{ }(oh). it is evident that the substitution of h by oh can give: ( ) nh_{ }(oh)_{ }; ( ) nh_{ }(oh)_{ }; ( ) nh(oh)_{ }; and ( ) n(oh)_{ }. they should all, like caustic ammonia itself, easily part with water and form products (hydroxylic) of the oxidation of ammonia. the first of them is the hydrate of hydroxylamine, nh_{ }(oh) + h_{ }o; the second, nh(oh)_{ } + h_{ }o (and also the substance nh(oh)_{ } or nh_{ }o_{ }), containing, as it does, both hydrogen and oxygen, is able to part with all its hydrogen in the form of water (which could not be done by the first product, since it contained too little oxygen), forming, as the ultimate product, nh_{ }(oh)_{ }- h_{ }o = n_{ }o--that is, it corresponds with nitrous oxide, or the lower degree of the oxidation of nitrogen. so, also, nitrous anhydride corresponds with the third of the above products, nh(oh)_{ }- h_{ }o = n_{ }o_{ }, and nitric anhydride with the fourth, n(oh)_{ }- h_{ }o = n_{ }o_{ }. as, in these three equations, two molecules of the substitution products (- h_{ }o) are taken, it is also possible to combine two different products in one equation. for instance, the third and fourth products: nh(oh)_{ } + n(oh)_{ }- h_{ }o corresponds to n_{ }o_{ } or no_{ }, that is, to peroxide of nitrogen. thus all the five (see later) oxides of nitrogen, n_{ }o, no, n_{ }o_{ }, no_{ }, and n_{ }o_{ }, may be deduced from ammonia. the above may be expressed in a general form by the equation (it should be remarked that the composition of all the substitution products of caustic ammonia may be expressed by nh_{ }o{ -_a_}, where _a_ varies between and ): nh_{ }o_{ - _a_} + nh_{ }o{ - _b_} - h_{ }o = n_{ }o_{ - (_a_ + _b_)}, where _a_ + _b_ can evidently be not greater than ; when _a_ + _b_ = we have n_{ }--nitrogen, when = we have n_{ }o nitrous oxide; when _a_ + _b_ = we have n_{ }o_{ } or no--nitric oxide, and so on to n_{ }o_{ }, when _a_ + _b_ = . besides which it is evident that intermediate products may correspond with (and hence also break up into) different starting points; for instance, n_{ }o is obtained when _a_ + _b_ = , and this may occur either when _a_ = (nitric acid), and _b_ = (hydroxylamine), or when _a_ = _b_ = (the third of the above substitution products). [ ] nitric acid corresponds with the anhydride n_{ }o_{ }, which will afterwards be described, but which must be regarded as the highest saline oxide of nitrogen, just as na_{ }o (and the hydroxide naho) in the case of sodium, although sodium forms a peroxide possessing the property of parting with its oxygen with the same ease as hydrogen peroxide, if not on heating, at all events in reactions--for instance, with acids. so also nitric acid has its corresponding peroxide, which may be called pernitric acid. its composition is not well known--probably nho_{ }--so that its corresponding anhydride would be n_{ }o_{ }. it is formed by the action of a silent discharge on a mixture of nitrogen and oxygen, so that a portion of its oxygen is in a state similar to that in ozone. the instability of this substance (obtained by hautefeuille, chappuis, and berthelot), which easily splits up with the formation of nitric peroxide, and its resemblance to persulphuric acid, which we shall afterwards describe, will permit our passing over the consideration of the little that is further known concerning it. [ ] phosphorus (chapter xix.) gives the hydride ph_{ }, corresponding with ammonia, nh_{ }, and forms phosphorous acid, ph_{ }o_{ }, which is analogous to nitrous acid, just as phosphoric acid is to nitric acid; but phosphoric (or, better, orthophosphoric) acid, ph_{ }o_{ }, is able to lose water and give pyro-and meta-phosphoric acids. the latter is equal to the ortho-acid minus water = pho_{ }, and therefore nitric acid, nho_{ }, is really meta-nitric acid. so also nitrous acid, hno_{ }, is meta-nitrous (anhydrous) acid, and thus the ortho-acid is nh_{ }o_{ } = n(oh)_{ }. hence for nitric acid we should expect to find, besides the ordinary or meta-nitric acid, hno_{ } (= / n_{ }o_{ },h_{ }o), and ortho-nitric acid, h_{ }no_{ } (= / n_{ }o_{ }, h_{ }o), an intermediate pyro-nitric acid, n_{ }h_{ }o_{ }, corresponding to pyrophosphoric acid, p_{ }h_{ }o_{ }. we shall see (for instance, in chapter xvi., note ) that in nitric acid there is indeed an inclination of the ordinary salts (of the meta-acid), mno_{ }, to combine with bases m_{ }o, and to approximate to the composition of ortho-compounds which are equal to meta-compound and bases (mno_{ } + m_{ }o = m_{ }no_{ }). . it is easy to prove the possibility of the oxidation of ammonia into nitric acid by passing a mixture of ammonia and air over heated spongy platinum. this causes the oxidation of the ammonia, nitric acid being formed, which partially combines with the excess of ammonia. the converse passage of nitric acid into ammonia is effected by the action of hydrogen at the moment of its evolution.[ ] thus metallic aluminium, evolving hydrogen from a solution of caustic soda, is able to completely convert nitric acid added to the mixture (as a salt, because the alkali gives a salt with the nitric acid) into ammonia, nho_{ } + h = nh_{ } + h_{ }o. . in curtius in germany obtained a gaseous substance of the composition hn_{ } (hydrogen trinitride), having the distinctive properties of an acid, and giving, like hydrochloric acid, salts; for example, a sodium salt, nan_{ }; ammonium salt, nh_{ }n_{ } = n_{ }h_{ }; barium salt, ba(n_{ })_{ }, &c., which he therefore named hydronitrous acid, _hn__{ }.[ bis] the extraordinary composition of the compound (ammonia, nh_{ }, contains one n atom and three h atoms; in hn_{ }, on the contrary, there are three n atoms and one h atom), the facile decomposition of its salts with an explosion, and above all its distinctly acid character (an aqueous solution shows a strong acid reaction to litmus), not only indicated the importance of this unexpected discovery, but at first gave rise to some perplexity as to the nature of the substance obtained, for the relations in which hn_{ } stood to other simple compounds of nitrogen which had long been known was not at all evident, and the scientific spirit especially requires that there should be a distinct bond between every innovation, every fresh discovery, and that which is already firmly established and known, for upon this basis is founded that apparently paradoxical union in science of a conservative stability with an irresistible and never-ceasing improvement. this missing, connection between the newly discovered hydronitrous acid, hn_{ }, and the long known ammonia, nh_{ }, and nitric acid, hno_{ }, may be found in the law of substitution, starting from the well-known properties and composition of nitric acid and ammonia, as i mentioned in the 'journal of the russian physico-chemical society' ( ). the essence of the matter lies in the fact that to the hydrate of ammonium, or caustic ammonia, nh_{ }oh, there should correspond, according to the law of substitution, an ortho-nitric acid (_see_ note ), h_{ }no_{ } = no(oh)_{ }, which equals nh_{ }(oh) with the substitution in it of (_a_) two atoms of hydrogen by oxygen (o--h_{ }) and (_b_) two atoms of hydrogen by the aqueous radicle (oh--h). ordinary or meta-nitric acid is merely this ortho-nitric acid minus water. to ortho-nitric acid there should correspond the ammoniacal salts: mono-substituted, h_{ }nh_{ }no_{ }; bi-substituted, h(nh_{ })_{ }no_{ }; and tri-substituted, (nh_{ })_{ }no_{ }. these salts, containing as they do hydrogen and oxygen, like many similar ammoniacal salts (see, for instance, chapter ix.--cyanides), are able to part with them in the form of water. then from the first salt we have h_{ }nh_{ }no_{ }- h_{ }o = n_{ }o--nitrous oxide, and from the second h(nh_{ })_{ }no - h_{ }o = hn_{ }--hydronitrous acid, and from the third (nh_{ })_{ }no- h_{ }o = n_{ }h_{ }--the ammonium salt of the same acid. the composition of hn_{ } should be thus understood, whilst its acid properties are explained by the fact that the water ( h_{ }o) from h(nh_{ })_{ }n_o{ } is formed at the expense of the hydrogen of the ammonium and oxygen of the nitric acid, so that there remains the same hydrogen as in nitric acid, or that which may be replaced by metals and give salts. moreover, nitrogen undoubtedly belongs to that category of metalloids which give acids, like chlorine and carbon, and therefore, under the influence of three of its atoms, one atom of hydrogen acquires those properties which it has in acids, just as in hcn (hydrocyanic acid) the hydrogen has received these properties under the influence of the carbon and nitrogen (and hn_{ } may be regarded as hcn where c has been replaced by n_{ }). moreover, besides explaining the composition and acid properties of hn_{ }, the above method gives the possibility of foretelling the closeness of the bond between hydronitrous acid and nitrous oxide, for n_{ }o + nh_{ } = hn_{ } + h_{ }o. this reaction, which was foreseen from the above considerations, was accomplished by wislicenus ( ) by the synthesis of the sodium salt, by taking the amide of sodium, nh_{ }na (obtained by heating na in a current of nh_{ }), and acting upon it (when heated) with nitrous oxide, n_{ }o, when nh_{ }na + n_{ }o = nan_{ } + naho + nh_{ }. the resultant salt, nan_{ }, gives hydronitrous acid when acted upon by sulphuric acid, nan_{ } + h_{ }so_{ } = nahso_{ } +hn_{ }. the latter gives, with the corresponding solutions of their salts, the insoluble (and easily explosive) salts of silver, agn_{ } (insoluble, like agcl or agcn), and lead, pb(n_{ })_{ }. [ ] the formation of ammonia is observed in many cases of oxidation by means of nitric acid. this substance is even formed in the action of nitric acid on tin, especially if dilute acid be employed in the cold. a still more considerable amount of ammonia is obtained if, in the action of nitric acid, there are conditions directly tending to the evolution of hydrogen, which then reduces the acid to ammonia; for instance, in the action of zinc on a mixture of nitric and sulphuric acids. [ bis] curtius started with benzoylhydrazine, c_{ }h_{ }conhnh_{ } (hydrazine, see note bis). (this substance is obtained by the action of hydrated hydrazine on the compound ether of benzoic acid). benzoylhydrazine under the action of nitrous acid gives benzoylazoimide and water: c_{ }h_{ }conhnh_{ } + no_{ }h = c_{ }h_{ }con_{ } + h_{ }o. benzoylazoimide when treated with sodium alcoholate gives the sodium salt of hydronitrous acid: c_{ }h_{ }con_{ } + c_{ }h_{ }ona = c_{ }h_{ }o_{ }c_{ }h_{ } + nan_{ }. the addition of ether to the resultant solution precipitates the nan_{ }, and this salt when treated with sulphuric acid gives gaseous hydronitrous acid, hn_{ }. it has an acrid smell, and is easily soluble in water. the aqueous solution exhibits a strongly acid reaction. metals dissolve in this solution and give the corresponding salts. with hydronitrous acid gaseous ammonia forms a white cloud, consisting of the salt of ammonium, nh_{ }n_{ }. this salt separates out from an alcoholic solution in the form of white lustrous scales. the salts of hydronitrous acid are obtained by a reaction of substitution with the sodium or ammonium salts. in this manner curtius obtained and studied the salts of silver (agn_{ }), mercury (hgn_{ }), lead (pbn_{ }), barium (ban_{ }). with hydrazine, n_{ }h_{ }, hydronitrous acid forms saline compounds in the composition of which there are one or two particles of n_{ }h per one particle of hydrazine; thus n_{ }h_{ } and n_{ }h_{ }. the first was obtained in an almost pure form. it crystallises from an aqueous solution in dense, volatile, lustrous prisms (up to in. long), which fuse at °, and deliquesce in the air; from a solution in boiling alcohol it separates out in bright crystalline plates. this salt, n_{ }h_{ }, has the same empirical composition, nh, as the ammonium salt of hydronitrous acid, n_{ }h_{ }, and imide; but their molecules and structure are different. curtius also obtained ( ) hydronitrous acid by passing the vapour of n_{ }o_{ } (evolved by the action of hno_{ } on as_{ }o_{ }) into a solution of hydrazine, n_{ }h_{ }. similarly angeli, by acting upon a saturated solution of silver nitrite with a strong solution of hydrazine, obtained the explosive agn_{ } in the form of a precipitate, and this reaction, which is based upon the equation n_{ }h_{ } + nho_{ } = hn_{ } + h_{ }o, proceeds so easily that it forms an experiment for the lecture table. a thermal investigation of hydronitrous acid by berthelot and matignon gave the following figures for the heat of solution of the ammonium salt n_{ }hnh_{ } ( grm. in parts of water)- c., and for the heat of neutralisation by barium hydrate + · c., and by ammonia + · c. the heat of combustion of n_{ }h_{ } (+ · c. at a constant vol.) gives the heat of formation of the salt n_{ }h_{ } (solid) as - · c. and (solution)- · c.; this explains the explosive nature of this compound. in its heat of formation from the elements n_{ }h =- · c., this compound differs from all the hydrogen compounds of nitrogen in having a maximum absorption of heat, which explains its instability. the compounds of nitrogen with oxygen present an excellent example of the law of multiple proportions, because they contain, for parts by weight of nitrogen, , , , , and parts respectively by weight of oxygen. the composition of these compounds is as follows:-- n_{ }o, nitrous oxide; hydrate nho. n_{ }o_{ }, nitric oxide, no. n_{ }o_{ }, nitrous anhydride; hydrate nho_{ }. n_{ }o_{ }, peroxide of nitrogen, no_{ }. n_{ }o_{ }, nitric anhydride; hydrate nho_{ }. of these compounds,[ ] nitrous and nitric oxides, peroxide of nitrogen, and nitric acid, nho_{ }, are characterised as being the most stable. _the lower oxides, when coming into contact with the higher, may give the intermediate forms_; for instance, no and no_{ } form n_{ }o_{ }, _and the intermediate oxides may, in splitting up, give a higher and lower oxide_. so n_{ }o_{ } gives n_{ }o_{ } and n_{ }o_{ }, or, in the presence of water, their hydrates. [ ] according to the thermochemical determinations of favre, thomsen, and more especially of berthelot, it follows that, in the formation of such quantities of the oxides of nitrogen as express their formulæ, if gaseous nitrogen and oxygen be taken as the starting points, and if the compounds formed be also gaseous, the following amounts of heat, expressed in thousands of heat units, are _absorbed_ (hence a minus sign):-- n_{ }o n_{ }o_{ } n_{ }o_{ } n_{ }o_{ } n_{ }o_{ } - - - - - - + + + the difference is given in the lower line. for example, if n_{ }, or grams of nitrogen, combine with o--that is, with grams of oxygen--then , units of heat are absorbed, that is, sufficient heat to raise , grams of water through °. naturally, direct observations are impossible in this case; but if charcoal, phosphorus, or similar substances are burnt both in nitrous oxide and in oxygen, and the heat evolved is observed in both cases, then the difference (more heat will be evolved in burning in nitrous oxide) gives the figures required. if n_{ }o_{ }, by combining with o_{ }, gives n_{ }o_{ }, then, as is seen from the table, heat should be developed, namely, , units of heat, or no + o = , units of heat. the differences given in the table show that the maximum absorption of heat corresponds with nitric oxide, and that the higher oxides are formed from it with evolution of heat. if liquid nitric acid, nho_{ }, were decomposed into n + o_{ } + h, then , heat units would be required; that is, an evolution of heat takes place in its formation from the gases. it should be observed that the formation of ammonia, nh_{ }, from the gases n + h_{ } evolves · thousand heat units. we have already seen that, under certain conditions, nitrogen combines with oxygen, and we know that ammonia may he oxidised. in these cases various oxidation products of nitrogen are formed, but in the presence of water and an excess of oxygen they always give nitric acid. nitric acid, as corresponding with the highest oxide, is able, in deoxidising, to give the lower oxides; it is the only nitrogen acid whose salts occur somewhat widely in nature, and it has many technical uses, for which reason we will begin with it. _nitric acid_, nho_{ }, is likewise known as aqua fortis. in a free state it is only met with in nature in small quantities, in the air and in rain-water after storms; but even in the atmosphere nitric acid does not long remain free, but combines with ammonia, traces of which are always found in air. on falling on the soil and into running water, &c., the nitric acid everywhere comes into contact with bases (or their carbonates), which easily act on it, and therefore it is converted into the nitrates of these bases. hence nitric acid is always met with in the form of salts in nature. the soluble salts of nitric acid are called _nitres_. this name is derived from the latin _sal nitri_. the potassium salt, kno_{ }, is common nitre, and the sodium salt, nano_{ }, chili saltpetre, or cubic nitre. nitres are formed in the soil when a nitrogenous substance is slowly oxidised in the presence of an alkali by means of the oxygen of the atmosphere. in nature there are very frequent instances of such oxidation. for this reason certain soils and rubbish heaps--for instance, lime rubbish (in the presence of a base)--lime contain a more or less considerable amount of nitre. one of these nitres--sodium nitrate--is extracted from the earth in large quantities in chili, where it was probably formed by the oxidation of animal refuse. this kind of nitre is employed in practice for the manufacture of nitric acid and the other oxygen compounds of nitrogen. nitric acid is obtained from _chili saltpetre_ by heating it with _sulphuric acid_. the hydrogen of the sulphuric acid replaces the sodium in the nitre. the sulphuric acid then forms either an acid salt, nahso_{ }, or a normal salt, na_{ }so_{ }, whilst nitric acid is formed from the nitre and is volatilised. the decomposition is expressed by the equations: ( ) nano_{ } + h_{ }so_{ } = hno_{ } + nahso_{ }, if the acid salt be formed, and ( ) nano_{ } + h_{ }so_{ } = na_{ }so_{ } + hno_{ }, if the normal sodium sulphate is formed. with an excess of sulphuric acid, at a moderate heat, and at the commencement of the reaction, the decomposition proceeds according to the first equation; and on further heating with a sufficient amount of nitre according to the second, because the acid salt nahso_{ } itself acts like an acid (its hydrogen being replaceable as in acids), according to the equation nano_{ } + nahso_{ } = na_{ }so_{ } + hno_{ }. [illustration: fig. .--method of preparing nitric acid on a large scale. a cast-iron retort, c, is fixed into the furnace, and heated by the fire, b. the flame and products of combustion are at first led along the flue, m (in order to heat the receivers), and afterwards into l. the retort is charged with chili saltpetre and sulphuric acid, and the cover is luted on with clay and gypsum. a clay tube, _a_, is fixed into the neck of the retort (in order to prevent the nitric acid from corroding the cast iron), and a bent glass tube, d, is luted on to it. this tube carries the vapours into a series of earthenware receivers, e. nitric acid mixed with sulphuric acid collects in the first. the purest nitric acid is procured from the second, whilst that which condenses in the third receiver contains hydrochloric acid, and that in the fourth nitrous oxide. water is poured into the last receiver in order to condense the residual vapours.] the sulphuric acid, as it is said, here displaces the nitric acid from its compound with the base.[ bis] thus, in the reaction of sulphuric acid on nitre there is formed a non-volatile salt of sulphuric acid, which remains, together with an excess of this acid, in the distilling apparatus, and nitric acid, which is converted into vapour, and may be condensed, because it is a liquid and volatile substance. on a small scale, this reaction may be carried on in a glass retort with a glass condenser. on a large scale, in chemical works, the process is exactly similar, only iron retorts are employed for holding the mixture of nitre and sulphuric acid, and earthenware three-necked bottles are used instead of a condenser,[ ] as shown in fig. . [ bis] this often gives rise to the supposition that sulphuric acid possesses a considerable degree of affinity or energy compared with nitric acid, but we shall afterwards see that the idea of the relative degree of affinity of acids and bases is, in many cases, exceedingly unbiassed; it need not be accepted so long as it is possible to explain the observed phenomena without admitting any supposition whatever of the degree of the force of affinity, because the latter cannot be measured. the action of sulphuric acid upon nitre may be explained by the fact alone that the resultant nitric acid is volatile. the nitric acid is the only one of all the substances partaking in the reaction which is able to pass into vapour; it alone is volatile, while the remainder are non-volatile, or, more strictly speaking, exceedingly difficultly volatile substances. let us imagine that the sulphuric acid is only able to set free a small quantity of nitric acid from its salt, and this will suffice to explain the decomposition of the whole of the nitre by the sulphuric acid, because once the nitric acid is separated it passes into vapour when heated, and passes away from the sphere of action of the remaining substances; then the free sulphuric acid will set free a fresh small quantity of nitric acid, and so on until it drives off the entire quantity. it is evident that, in this explanation, it is essential that the sulphuric acid should be in excess (although not greatly) throughout the reaction; according to the equation expressing the reaction, parts of sulphuric acid are required per parts of chili nitre; but if this proportion be maintained in practice the nitric acid is not all disengaged by the sulphuric acid; an excess of the latter must be taken, and generally parts of chili nitre are taken per parts of acid, so that a portion of the sulphuric acid remains free to the very end of the reaction. [ ] it must be observed that sulphuric acid, at least when undiluted ( ° baumé), corrodes cast iron with difficulty, so that the acid may be heated in cast-iron retorts. nevertheless, both sulphuric and nitric acids have a certain action on cast iron, and therefore the acid obtained will contain traces of iron. in practice sodium nitrate (chili saltpetre) is usually employed because it is cheaper, but in the laboratory it is best to take potassium nitrate, because it is purer and does not froth up so much as sodium nitrate when heated with sulphuric acid. in the action of an excess of sulphuric acid on nitre and nitric acid a portion of the latter is decomposed, forming lower oxides of nitrogen, which are dissolved in the nitric acid. a portion of the sulphuric acid itself is also carried over as spray by the vapours of the nitric acid. hence sulphuric acid occurs as an impurity in commercial nitric acid. a certain amount of hydrochloric acid will also be found to be present in it, because sodium chloride is generally found as an impurity in nitre, and under the action of sulphuric acid it forms hydrochloric acid. commercial acid further contains a considerable excess of water above that necessary for the formation of the hydrate, because water is first poured into the earthenware vessels employed for condensing the nitric acid in order to facilitate its cooling and condensation. further, the acid of composition hno_{ } decomposes with great ease, with the evolution of oxides of nitrogen. thus the commercial acid contains a great number of impurities, and is frequently purified in the following manner:--lead nitrate is first added to the acid because it forms non-volatile and almost insoluble (precipitated) substances with the free sulphuric and hydrochloric acids, and liberates nitric acid in so doing, according to the equations pb(no_{ })_{ } + hcl = pbcl_{ } + nho_{ } and pb(no_{ })_{ } + h_{ }so_{ } = pbso_{ } + nho_{ }. potassium chromate is then added to the impure nitric acid, by which means oxygen is liberated from the chromic acid, and this oxygen, at the moment of its evolution, oxidises the lower oxides of nitrogen and converts them into nitric acid. a pure nitric acid, containing no impurities other than water, may be then obtained by carefully distilling the acid, treated as above described, and particularly if only the middle portions of the distillate are collected. such acid should give no precipitate, either with a solution of barium chloride (a precipitate shows the presence of sulphuric acid) or with a solution of silver nitrate (a precipitate shows the presence of hydrochloric acid), nor should it, after being diluted with water, give a coloration with starch containing potassium iodide (a coloration shows the admixture of other oxides of nitrogen). the oxides of nitrogen may be most easily removed from impure nitric acid by heating for a certain time with a small quantity of pure charcoal. by the action of nitric acid on the charcoal carbonic anhydride is evolved, which carries off the lower oxides of nitrogen. on redistilling, pure acid is obtained. the oxides of nitrogen occurring in solution may also be removed by passing air through the nitric acid. nitric acid so obtained always contains water. it is extremely difficult to deprive it of all the admixed water without destroying a portion of the acid itself and partially converting it into lower oxides, because without the presence of an excess of water it is very unstable. when rapidly distilled a portion is decomposed, and there are obtained free oxygen and lower oxides of nitrogen, which, together with the water, remain in solution with the nitric acid. therefore it is necessary to work with great care in order to obtain a pure hydrate of nitric acid, hno_{ }, and especially to mix the nitric acid obtained from nitre, as above described, with sulphuric acid, which takes up the water, and to distil it at the lowest possible temperature--that is, by placing the retort holding the mixture in a water or oil bath and carefully heating it. the first portion of the nitric acid thus distilled boils at °, has a specific gravity at ° of · , and solidifies at - °; it is very unstable at higher temperatures. this is the normal hydrate, hno_{ }, which corresponds with the salts, nmo_{ }, of nitric acid. when diluted with water nitric acid presents a higher boiling point, not only as compared with that of the nitric acid itself, but also with that of water; so that, if very dilute nitric acid be distilled, the first portions passing over will consist of almost pure water, until the boiling point in the vapours reaches °. at this temperature a compound of nitric acid with water, containing about p.c. of nitric acid,[ ] distils over; its specific gravity at ° = · . if the solution contain less than p.c. of water, then, the specific gravity of the solution being above · , hno_{ } evaporates off and fumes in the air, forming the above hydrate, whose vapour tension is less than that of water. such solutions form _fuming nitric acid_. on distilling it gives monohydrated acid,[ ] hno_{ }; it is a hydrate boiling at °, so that it is obtained from both weak and strong solutions. fuming nitric acid, under the action not only of organic substances, but even of heat, loses a portion of its oxygen, forming lower oxides of nitrogen, which impart a _red-brown colour_ to it;[ ] the pure acid is colourless. [ ] dalton, smith, bineau, and others considered that the hydrate of constant boiling point (see chapter i., note ) for nitric acid was the compound hno_{ }, h_{ }o, but roscoe showed that its composition changes with a variation of the pressure and temperature under which the distillation proceeds. thus, at a pressure of atmosphere the solution of constant boiling point contains · p.c., and at one-tenth of an atmosphere · p.c. judging from what has been said concerning solutions of hydrochloric acid, and from the variation of specific gravity, i think that the comparatively large decrease in the tensions of the vapours depends on the formation of a hydrate, nho_{ }, h_{ }o (= · p.c.). such a hydrate may be expressed by n(ho)_{ }, that is, as nh_{ }(ho), in which all the equivalents of hydrogen are replaced by hydroxyl. the constant boiling point will then be the temperature of the decomposition of this hydrate. the variation of the specific gravity at ° from water (_p_ = ) to the hydrate nho_{ }, h_{ }o ( · p.c. hno_{ }) is expressed by _s_ = + · _p_ + · _p^ _, if water = , at °. for example, when _p_ = p.c., _s_ = , . for more concentrated solutions, at least, the above-mentioned hydrate, hno_{ }, h_{ }o, must be taken, up to which the specific gravity _s_ = + · _p_- · _p_^ ; but perhaps (since the results of observations of the specific gravity of the solutions are not in sufficient agreement to arrive at a conclusion) the hydrate hno_{ }, h_{ }o should be recognised, as is indicated by many nitrates (al, mg, co, &c.), which crystallise with this amount of water of crystallisation. from hno_{ }, h_{ }o to hno_{ } the specific gravity of the solutions (at °) _s_ = , + · _p_- · _p_^ . the hydrate hno_{ }, h_{ }o is recognised by berthelot on the basis of the thermochemical data for solutions of nitric acid, because on approaching to this composition there is a rapid change in the amount of heat evolved by mixing nitric acid with water. pickering ( ) by refrigeration obtained the crystalline hydrates: hno_{ },h_{ }o, melting at - ° and hno_{ }, h_{ }o, melting at - °. a more detailed study of the reactions of hydrated nitric acid would no doubt show the existence of change in the process and rapidity of reaction in approaching these hydrates. [ ] the normal hydrate hno_{ }, corresponding with the ordinary salts, may be termed the monohydrated acid, because the anhydride n_{ }o_{ } with water forms this normal nitric acid. in this sense the hydrate hno_{ }, h_{ }o is the pentahydrated acid. [ ] for technical and laboratory purposes recourse is frequently had to _red fuming nitric acid_--that is, the normal nitric acid, hno_{ }, containing lower oxides of nitrogen in solution. this acid is prepared by decomposing nitre with half its weight of strong sulphuric acid, or by distilling nitric acid with an excess of sulphuric acid. the normal nitric acid is first obtained, but it partially decomposes, and gives the lower oxidation products of nitrogen, which are dissolved by the nitric acid, to which they impart its usual pale-brown or reddish colour. this acid fumes in the air, from which it attracts moisture, forming a less volatile hydrate. if carbonic anhydride be passed through the red-brown fuming nitric acid for a long period of time, especially if, assisted by a moderate heat, it expels all the lower oxides, and leaves a colourless acid free from these oxides. it is necessary, in the preparation of the red acid, that the receivers should be kept quite cool, because it is only when cold that nitric acid is able to dissolve a large proportion of the oxides of nitrogen. the strong red fuming acid has a specific gravity · at °, and has a suffocating smell of the oxides of nitrogen. when the red acid is mixed with water it turns green, and then of a bluish colour, and with an excess of water ultimately becomes colourless. this is owing to the fact that the oxides of nitrogen in the presence of water and nitric acid are changed, and give coloured solutions. markleffsky ( ) showed that the green solutions contain (besides hno_{ }) hno_{ } and n_{ }o_{ }, whilst the blue solutions only contain hno_{ } (_see_ note ). the action of red fuming nitric acid (or a mixture with sulphuric acid) is in many cases very powerful and rapid, and it sometimes acts differently from pure nitric acid. thus iron becomes covered with a coating of oxides, and insoluble in acids; it becomes, as is said, passive. thus chromic acid (and potassium dichromate) gives oxide of chromium in this red acid--that is, it is deoxidised. this is owing to the presence of the lower oxides of nitrogen, which are capable of being oxidised--that is, of passing into nitric acid like the higher oxides. but, generally, the action of fuming nitric acid, both red and colourless, is powerfully oxidising. nitric acid, as an _acid hydrate_, enters into reactions of double decomposition with bases, basic hydrates (alkalis), and with salts. in all these cases a salt of nitric acid is obtained. an alkali and nitric acid give water and a salt; so, also, a basic oxide with nitric acid gives a salt and water; for instance, lime, cao + hno_{ } = ca(no_{ })_{ } + h_{ }o. many of these salts are termed nitres.[ ] the composition of the ordinary salts of nitric acid may be expressed by the general formula m(no_{ })_{_n_}, where m indicates a metal replacing the hydrogen in one or several (_n_) equivalents of nitric acid. we shall find afterwards that the atoms m of metals are equivalent to one (k, na, ag) atom of hydrogen, or two (ca, mg, ba), or three (al, in), or, in general, _n_ atoms of hydrogen. _the salts of nitric acid_ are especially characterised by being all _soluble in water_.[ ] from the property common to all these salts of entering into double decompositions, and owing to the volatility of nitric acid, they evolve nitric acid when heated with sulphuric acid. they all, like the acid itself, are capable of evolving oxygen when heated, and consequently of acting as oxidising substances; they therefore, for instance, deflagrate with ignited carbon, the carbon burning at the expense of the oxygen of the salt and forming gaseous products of combustion.[ ] [ ] hydrogen is not evolved in the action of nitric acid (especially strong) on metals, even with those metals which evolve hydrogen under the action of other acids. this is because the hydrogen at the moment of its separation reduces the nitric acid, with formation of the lower oxides of nitrogen, as we shall afterwards see. [ ] certain basic salts of nitric acid, however (for example, the basic salt of bismuth), are insoluble in water; whilst, on the other hand, all the normal salts are soluble, and this forms an exceptional phenomenon among acids, because all the ordinary acids form insoluble salts with one or another base. thus, for sulphuric acid the salts of barium, lead, &c., for hydrochloric acid the salts of silver, &c., are insoluble in water. however, the normal salts of acetic and certain other acids are all soluble. [ ] _ammonium nitrate_, nh_{ }no_{ }, is easily obtained by adding a solution of ammonia or of ammonium carbonate to nitric acid until it becomes neutral. on evaporating this solution, crystals of the salt are formed which contain no water of crystallisation. it crystallises in prisms like those formed by common nitre, and has a refreshing taste; parts of water at _t_° dissolve + · _t_ parts by weight of the salt. it is soluble in alcohol, melts at °, and is decomposed at about °, forming water and nitrous oxide, nh_{ }no_{ } = h_{ }o + n_{ }o. if ammonium nitrate be mixed with sulphuric acid, and the mixture be heated to about the boiling point of water, then nitric acid is evolved, and ammonium hydrogen sulphate remains in solution; but if the mixture be heated rapidly to o°, then nitrous oxide is evolved. in the first case the sulphuric acid takes up ammonia, and in the second place water. ammonium nitrate is employed in practice for the artificial production of cold, because in dissolving in water it lowers the temperature very considerably. for this purpose it is best to take equal parts by weight of the salt and water. the salt must first be reduced to a powder and then rapidly stirred up in the water, when the temperature will fall from + ° to - °, so that the water freezes. ammonium nitrate absorbs ammonia, with which it forms unstable compounds resembling compounds containing water of crystallisation. (divers , raoult .) at - ° nh_{ }no_{ }, nh_{ } is formed: it is a liquid of sp. gr. · , which loses all its ammonia under the influence of heat. at + ° nh_{ }no_{ },nh_{ } is formed: it is a solid which easily parts with its ammonia when heated, especially in solution. troost ( ) investigated the tension of the dissociation of the compounds formed, and came to the conclusion that a definite compound corresponding to the formula nh_{ }no_{ }, nh_{ } is formed, because the tension of dissociation remains constant in the decomposition of such a compound at °. y. kouriloff ( ), however, considers that the constancy of the tension of the ammonia evolved is due to the decomposition of a saturated solution, and not of a definite compound. during decomposition the system is composed of a liquid and a solid; the tension only becomes constant from the moment the solid falls down. the composition nh_{ }no_{ }, nh_{ } corresponds to a saturated solution at °, and the solubility of nh_{ }no_{ } in nh_{ } increases with a rise of temperature. nitric acid also enters into double decompositions with a number of hydrocarbons not in any way possessing alkaline characters and not reacting with other acids. under these circumstances the nitric acid gives water and a new substance termed a _nitro-compound_. the chemical character of the nitro-compound is the same as that of the original substance; for example, if an indifferent substance be taken, then the nitro compound obtained from it will also be indifferent; if an acid be taken, then an acid is obtained also.[ bis] benzene, c_{ }h_{ }, for instance, acts according to the equation c_{ }h_{ } + hno_{ } = h_{ }o + c_{ }h_{ }no_{ }. nitrobenzene is produced. the substance taken, c_{ }h_{ }, is a liquid hydrocarbon having a faint tarry smell, boiling at °, and lighter than water; by the action of nitric acid nitrobenzene is obtained, which is a substance boiling at about °, heavier than water, and having an almond-like odour: it is employed in large quantities for the preparation of aniline and aniline dyes.[ ] as the nitro-compounds contain both combustible elements (hydrogen and carbon), as well as oxygen in unstable combination with nitrogen, in the form of the radicle no_{ } of nitric acid, they decompose with an explosion when ignited or even struck, owing to the pressure of the vapours and gases formed--free nitrogen, carbonic anhydride, co_{ }, carbonic oxide, co, and aqueous vapour. in the explosion of nitro compounds[ bis] much heat is evolved, as in the combustion of gunpowder or detonating gas, and in this case the force of explosion in a closed space is great, because from a solid or liquid nitro-compound occupying a small space there proceed vapours and gases whose elasticity is great not only from the small space in which they are formed, but owing to the high temperature corresponding to the combustion of the nitro-compound.[ ] [ bis] this is explained by saying that in true nitro-compounds the residue of nitric acid no_{ } takes the place of the hydrogen in the hydrocarbon group. for example, if c_{ }h_{ }oh be given, then c_{ }h_{ }(no_{ })oh will be a true nitro-compound having the radical properties of c_{ }h_{ }oh. if, on the other hand, the no_{ } replace the hydrogen of the aqueous radicle (c_{ }h_{ }ono_{ }), then the chemical character varies, as in the passage of koh into kono_{ } (nitre) (_see_ note and organic chemistry). [ ] the compound ethers of nitric acid in which the hydrogen of the aqueous radicle (oh) is replaced by the residue of nitric acid (no_{ }) are frequently called nitro-compounds. but in their chemical character they differ from true nitro-compounds (for details _see_ organic chemistry) and do not burn like them. the action of nitric acid on cellulose, c_{ }h_{ }o_{ }, is an example. this substance, which forms the outer coating of all plant cells, occurs in an almost pure state in cotton, in common writing-paper, and in flax, &c.; under the action of nitric acid it forms water and nitrocellulose (like water and kno_{ } from kho), which, although it has the same appearance as the cotton originally taken, differs from it entirely in properties. it explodes when struck, bursts into flame very easily under the action of sparks, and acts like gunpowder, whence its name of pyroxylin, or gun-cotton. the composition of gun-cotton is c_{ }h_{ }n_{ }o_{ } = c_{ }h_{ }o_{ } + nho_{ }- h_{ }o. the proportion of the group no_{ } in nitrocellulose may be decreased by limiting the action of the nitric acid and compounds obtained with different properties; for instance, the (impure) well-known _collodion cotton_, containing from to per cent. of nitrogen, and _pyro-collodion_ (mendeléeff, ), containing · per cent. of nitrogen. both these products are soluble in a mixture of alcohol and ether (in collodion a portion of the substance is soluble in alcohol), and the solution when evaporated gives a transparent film, which is insoluble in water. a solution of collodion is employed in medicine for covering wounds, and in wet-plate photography for giving on glass an even coating of a substance into which the various reagents employed in the process are introduced. extremely fine threads (obtained by forcing a gelatinous mixture of collodion, ether, and alcohol through capillary tubes in water) of collodion form artificial silk. [ bis] the property possessed by nitroglycerin (occurring in dynamite), nitrocellulose, and the other nitro-compounds, of burning with an explosion, and their employment for smokeless powder and as explosives in general, depends on the reasons in virtue of which a mixture of nitre and charcoal deflagrates and explodes; in both cases the elements of the nitric acid occurring in the compound are decomposed, the oxygen in burning unites with the carbon, and the nitrogen is set free; thus a very large volume of gaseous substances (nitrogen and oxides of carbon) is rapidly formed from the solid substances originally taken. these gases occupy an incomparably larger volume than the original substance, and therefore produce a powerful pressure and explosion. it is evident that in exploding with the development of heat (that is, in decomposing, not with the absorption of energy, as is generally the case, but with the evolution of energy) the nitro-compounds form stores of energy which are easily set free, and that consequently their elements occur in a state of particularly energetic motion, which is especially strong in the group no_{ }: this group is common to all nitro-compounds, and all the oxygen compounds of nitrogen are unstable, easily decomposable, and (note ) absorb heat in their formation. on the other hand, the nitro-compounds are instructive as an example and proof of the fact that the elements and groups forming compounds are united in definite order in the molecules of a compound. a blow, concussion, or rise of temperature is necessary to bring the combustible elements c and h into the most intimate contact with no_{ }, and to distribute the elements in a new order in new compounds. as regards the composition of the nitro-compounds, it will be seen that the hydrogen of a given substance is replaced by the complex group no_{ } of the nitric acid. the same is observed in the passage of alkalis into nitrates, so that the reactions of substitution of nitric acid--that is, the formation of salts and nitro-compounds--may be expressed in the following manner. in these cases the hydrogen is replaced by the so-called _radicle of nitric acid_ no_{ }, as is evident from the following table:-- {caustic potash kho. {nitre k(no_{ })o. {hydrate of lime cah_{ }o_{ }. {calcium nitrate ca(no_{ })_{ }o_{ }. {glycerin c_{ }h_{ }h_{ }o_{ }. {nitroglycerin c_{ }h_{ }(no_{ })_{ }o_{ }. {phenol c_{ }h_{ }oh. {picric acid c_{ }h_{ }(no_{ })_{ }oh, &c. the difference between the salts formed by nitric acid and the nitro-compounds consists in the fact that nitric acid is very easily separated from the salts of nitric acid by means of sulphuric acid (that is, by a method of double saline decomposition), whilst nitric acid is not displaced by sulphuric acid from true nitro-compounds; for instance, nitrobenzene, c_{ }h_{ }·no_{ }. as nitro-compounds are formed exclusively from hydrocarbons, they are described with them in organic chemistry. the group no_{ } of nitro-compounds in many cases (like all the oxidised compounds of nitrogen) passes into the ammonia group or into the ammonia radicle nh_{ }. this requires the action of reducing substances evolving hydrogen: rno_{ } + h = rnh_{ } + h_{ }o. thus zinin converted nitrobenzene, c_{ }h_{ }·no_{ }, into aniline, c_{ }h_{ }·nh_{ }, by the action of hydrogen sulphide. admitting the existence of the group no_{ }, as replacing hydrogen in various compounds, then nitric acid may be considered as water in which half the hydrogen is replaced by the radical of nitric acid. in this sense nitric acid is nitro-water, no_{ }oh, and its anhydride dinitro-water, (no_{ })_{ }o. in nitric acid the radical of nitric acid is combined with hydroxyl, just as in nitrobenzene it is combined with the radical of benzene. it should here be remarked that the group no_{ } may be recognised in the salts of nitric acid, because the salts have the composition m(no_{ })_{n}, just as the metallic chlorides have the composition mcl_{n}. but the group no_{ } does not form any other compounds beyond the salts, and therefore it should he considered as hydroxyl, ho, in which h is replaced by no_{ }. [ ] the nitro-compounds play a very important part in mining and artillery. detailed accounts of them must be looked for in special works, among which the works of a. r. shuliachenke and t. m. chelletsoff occupy an important place in the russian literature on this subject, although historically the scientific works of abel in england and berthelot in france stand pre-eminent. the latter elucidated much in connection with explosive compounds by a series of both experimental and theoretical researches. among explosives a particularly important place from a practical point of view is occupied by ordinary or black gunpowder (chapter xiii., note ), fulminating mercury (chapter xvi., note ), the different forms of gun-cotton (chapter vi., note ), and nitro-glycerine (chapter viii., note , and chapter xii., note ). the latter when mixed with solid pulverulent substances, like magnesia, tripoli, &c., forms dynamite, which is so largely used in quarries and mines in driving tunnels, &c. we may add that the simplest true nitro-compound, or marsh gas, ch_{ }, in which all the hydrogens are replaced by no_{ } groups has been obtained by l. n. shishkoff, c(no_{ })_{ }, as well as nitroform, ch(no_{ })_{ }. [illustration: fig. .--the method of decomposition of nitrous anhydride, also applicable to the other oxides of nitrogen, and to their analysis. no_{ } is generated from nitrate of lead in the retort a. nitric acid and other less volatile products are condensed in b. the tube c c contains copper, and is heated from below. undecomposed volatile products (if any are formed) are condensed in d, which is cooled. if the decomposition be incomplete, brown fumes make their appearance in this receiver. the gaseous nitrogen is collected in the cylinder e.] if the vapour of nitric acid is passed through an even moderately heated glass tube, the formation of dark-brown fumes of the lower oxides of nitrogen and the separation of free oxygen may be observed, nho_{ } = h_{ }o + no_{ } + o. the decomposition is complete at a white heat--that is, nitrogen is formed, nho_{ } = h_{ }o + n_{ } + o_{ }. hence it is easily understood that nitric acid may part with its oxygen to a number of substances capable of being oxidised.[ ] it is consequently an _oxidising agent_. charcoal, as we have already seen, burns in nitric acid; phosphorus, sulphur, iodine, and the majority of metals also decompose nitric acid, some on heating and others even at the ordinary temperature: the substances taken are oxidised and the nitric acid is deoxidised, yielding compounds containing less oxygen. only a few metals, such as gold and platinum, do not act on nitric acid, but the majority decompose it; in so doing, an oxide of the metal is formed, which, if it has the character of a base, acts on the remaining nitric acid; hence, with the majority of metals the result of the reaction is usually not an oxide of the metal, but the corresponding salt of nitric acid, and, at the same time, one of the lower oxides of nitrogen. the resulting salts of the metals are soluble, and hence it is said that nitric acid _dissolves_ nearly all metals.[ ] this case is termed the solution of metals by acids, although it is not a case of simple solution, but a complex chemical change of the substances taken. when treated with this acid, those metals whose oxides do not combine with nitric acid yield the oxide itself, and not a salt; for example, tin acts in this manner on nitric acid, forming a hydrated oxide, snh_{ }o_{ }, which is obtained in the form of a white powder, sn + nho_{ } = h_{ }sno_{ } + no_{ } + h_{ }o. silver is able to take up still more oxygen, and to convert a large portion of nitric acid into nitrous anhydride, ag + hno_{ } = agno_{ } + n_{ }o_{ } + h_{ }o. copper takes up still more oxygen from nitric acid, converting it into nitric oxide, and, by the action of zinc, nitric acid is able to give up a still further quantity of nitrogen, forming nitrous oxide, zn + nho_{ } = zn(no_{ })_{ } + n_{ }o + h_{ }o.[ ] sometimes, and especially with dilute solutions of nitric acid, the deoxidation proceeds as far as the formation of hydroxylamine and ammonia, and sometimes it leads to the formation of nitrogen itself. the formation of one or other nitrogenous substance from nitric acid is determined, not only by the nature of the reacting substances, but also by the relative mass of water and nitric acid, and also by the temperature and pressure, or the sum total of the conditions of reaction; and as in a given mixture even these conditions vary (the temperature and the relative mass vary), it not unfrequently happens that a mixture of different products of the deoxidation of nitric acid is formed. [ ] [illustration: fig. .--decomposition of nitrous oxide by sodium.] nitric acid may be entirely decomposed by passing its vapour over highly incandescent copper, because the oxides of nitrogen first formed give up their oxygen to the red-hot metallic copper, so that water and nitrogen gas alone are obtained. this forms a means for determining the composition both of nitric acid and of all the other compounds of nitrogen with oxygen, because by collecting the gaseous nitrogen formed it is possible to calculate, from its volume, its weight and consequently its amount in a given quantity of a nitrogenous substance, and by weighing the copper before and after the decomposition it is possible to determine the amount of oxygen by the increase in weight. the complete decomposition of nitric acid is also accomplished by passing a mixture of hydrogen and nitric acid vapours through a red-hot tube. sodium also decomposes the oxides of nitrogen at a red-heat, taking up all the oxygen. this method is sometimes used for determining the composition of the oxides of nitrogen. [ ] the application of this acid for etching copper or steel in engraving is based on this fact. the copper is covered with a coating of wax, resin, &c. (etching ground), on which nitric acid does not act, and then the ground is removed in certain parts with a needle, and the whole is washed in nitric acid. the parts coated remain untouched, whilst the uncovered portions are eaten into by the acid. copper plates for etchings, aquatints, &c., are prepared in this manner. [ ] the formation of such complex equations as the above often presents some difficulty to the beginner. it should be observed that if the reacting and resultant substances be known, it is easy to form an equation for the reaction. thus, if we wish to form an equation expressing the reaction that nitric acid acting on zinc gives nitrous oxide, n_{ }o, and zinc nitrate, zn(no_{ })_{ }, we must reason as follows:--nitric acid contains hydrogen, whilst the salt and nitrous oxide do not; hence water is formed, and therefore it is as though anhydrous nitric acid, n_{ }o_{ }, were acting. for its conversion into nitrous oxide it parts with four equivalents of oxygen, and hence it is able to oxidise four equivalents of zinc and to convert it into zinc oxide, zno. these four equivalents of zinc oxide require for their conversion into the salt four more equivalents of nitric anhydride; consequently five equivalents in all of the latter are required, or ten equivalents of nitric acid. thus ten equivalents of nitric acid are necessary for four equivalents of zinc in order to express the reaction in whole equivalents. it must not be forgotten, however, that there are very few such reactions which can be entirely expressed by simple equations. the majority of equations of reactions only express the chief and ultimate products of reaction, and thus none of the three preceding equations express all that in reality occurs in the action of metals on nitric acid. in no one of them is only one oxide of nitrogen formed, but always several together or consecutively--one after the other, according to the temperature and strength of the acid. and this is easily intelligible. the resulting oxide is itself capable of acting on metals and of being deoxidised, and in the presence of the nitric acid it may change the acid and be itself changed. the equations given must be looked on as a systematic expression of the main features of reactions, or as a limit towards which they tend, but to which they only attain in the absence of disturbing influences. thus the action of nitric acid on metals consists in their being oxidised, whilst the acid itself is converted, according to the temperature, concentration in which it is taken, and the nature of the metal, &c., into lower oxides, ammonia, or even into nitrogen.[ ] many compounds are oxidised by nitric acid like metals and other elements; for instance, lower oxides are converted into higher oxides. thus, arsenious acid is converted into arsenic acid, suboxide of iron into oxide, sulphurous acid into sulphuric acid, the sulphides of the metals, m_{ }s, into sulphates, m_{ }so_{ }, &c.; in a word, nitric acid brings about oxidation, its oxygen is taken up and transferred to many other substances. certain substances are oxidised by strong nitric acid so rapidly and with so great an evolution of heat that they deflagrate and burst into flame. thus turpentine, c_{ }h_{ }, bursts into flame when poured into fuming nitric acid. in virtue of its oxidising property, nitric acid _removes the hydrogen_ from many substances. thus it decomposes hydriodic acid, separating the iodine and forming water; and if fuming nitric acid be poured into a flask containing gaseous hydriodic acid, then a rapid reaction takes place, accompanied by flame and the separation of violet vapours of iodine and brown fumes of oxides of nitrogen.[ ] [ ] montemartini endeavours to show that the products evolved in the action of nitric acid upon metals (and their amount) is in direct connection with both the concentration of the acid and the capacity of the metals to decompose water. those metals which only decompose water at a high temperature give, under the action of nitric acid, no_{ }, n_{ }o_{ }, and no; whilst those metals which decompose water at a lower temperature give, besides the above products, n_{ }o, n, and nh_{ }; and, lastly, the metals which decompose water at the ordinary temperature also evolve hydrogen. it is observed that concentrated nitric acid oxidises many metals with much greater difficulty than when diluted with water; iron, copper, and tin are very easily oxidised by dilute nitric acid, but remain unaltered under the influence of monohydrated nitric acid or of the pure hydrate nho_{ }. nitric acid diluted with a large quantity of water does not oxidise copper, but it oxidises tin; dilute nitric acid also does not oxidise either silver or mercury; but, on the addition of nitrous acid, even dilute acid acts on the above metals. this naturally depends on the smaller stability of nitrous acid, and on the fact that after the commencement of the action the nitric acid is itself converted into nitrous acid, which continues to act on the silver and mercury. veley (oxford ) made detailed researches on the action of nitric acid upon cu, hg, and bi, and showed that nitric acid of p.c. strength does not act upon these metals at the ordinary temperature if nitrous acid (traces are destroyed by urea) and oxidising agents such as h_{ }o_{ }, kclo_{ }, &c. be entirely absent; but in the presence of even a small amount of nitrous acid the metals form nitrites, which, with hno_{ }, form nitrates and the oxides of nitrogen, which re-form the nitrous acid necessary for starting the reaction, because the reaction no + hno_{ } + h_{ }o = hno_{ } is reversible. the above metals are quickly dissolved in a p.c. solution of nitrous acid. moreover, veley observed that nitric acid is partially converted into nitrous acid by gaseous hydrogen in the presence of the nitrates of cu and pb. [ ] when nitric acid acts on many organic substances it often happens that not only is hydrogen removed, but also oxygen is combined; thus, for example, nitric acid converts toluene, c_{ }h_{ }, into benzoic acid, c_{ }h_{ }o_{ }. in certain cases, also, a portion of the carbon contained in an organic substance burns at the expense of the oxygen of the nitric acid. so, for instance, phthalic acid, c_{ }h_{ }o_{ }, is obtained from naphthalene, _{ }h_{ }. thus the action of nitric acid on the hydrocarbons is often most complex; not only does nitrification take place, but also separation of carbon, displacement of hydrogen, and combination of oxygen. there are few organic substances which can withstand the action of nitric acid, and it causes fundamental changes in a number of them. it leaves a yellow stain on the skin, and in a large quantity causes a wound and entirely eats away the membranes of the body. the membranes of plants are eaten into with the greatest ease by strong nitric acid in just the same manner. one of the most durable blue vegetable dyes employed in dyeing tissues is _indigo_; yet it is easily _converted into a yellow substance_ by the action of nitric acid, and small traces of free nitric acid may be recognised by this means. as nitric acid is very easily decomposed with the separation of oxygen, it was for a long time supposed that it was not capable of forming the corresponding _nitric anhydride_, n_{ }o_{ }; but deville first and subsequently weber and others, discovered the methods of its formation. deville obtained nitric anhydride by decomposing silver nitrate by chlorine under the influence of a moderate heat. chlorine acts on the above salt at a temperature of ° ( agno_{ } + cl_{ } = agcl + n_{ }o_{ } + o), and when once the reaction is started, it continues by itself without further heating. brown fumes are given off, which are condensed in a tube surrounded by a freezing-mixture. a portion condenses in this tube and a portion remains in a gaseous state. the latter contains free oxygen. a crystalline mass and a liquid substance are obtained in the tube; the liquid is poured off, and a current of dry carbonic acid gas is passed through the apparatus in order to remove all traces of volatile substances (liquid oxides of nitrogen) adhering to the crystals of nitric anhydride. these form a voluminous mass of rhombic crystals (density · ), which sometimes are of rather large size; they melt at about ° and distil at about °. in distilling, a portion of the substance is decomposed. with water these crystals give nitric acid. nitric anhydride is also obtained by the action of phosphoric anhydride, p_{ }o_{ }, on cold pure nitric acid (below °). during the very careful distillation of equal parts by weight of these two substances a portion of the acid decomposes, giving a liquid compound, h_{ }o, n_{ }o_{ } = n_{ }o_{ }, hno_{ }, whilst the greater part of the nitric acid gives the anhydride according to the equation nho_{ } + p_{ }o_{ } = pho_{ } + n_{ }o_{ }. on heating, nitric anhydride decomposes with an explosion, or gradually, into nitric peroxide and oxygen, n_{ }o_{ } = n_{ }o_{ } + o. _nitrogen peroxide_, n_{ }o_{ }, and _nitrogen dioxide_, no_{ }, express one and the same composition, but they should be distinguished like ordinary oxygen and ozone, although in this case their mutual conversion is more easily effected and takes place on vaporisation; also, o_{ } loses heat in passing into o_{ }, whilst n_{ }o_{ } absorbs heat in forming no_{ }. nitric acid in acting on tin and on many organic substances (for example, starch) gives brown vapours, consisting of a mixture of n_{ }o_{ } and no_{ }. a purer product is obtained by the decomposition of lead nitrate by heat, pb(no_{ })_{ } = no_{ } + o + pbo, when non-volatile lead oxide, oxygen gas, and nitrogen peroxide are formed. the latter condenses, in a well-cooled vessel, to a brown liquid, which boils at about °. the purest peroxide of nitrogen, solidifying at - °, is obtained by mixing dry oxygen in a freezing-mixture with twice its volume of dry nitric oxide, no, when transparent prisms of nitrogen peroxide are formed in the receiver: they melt into a colourless liquid at about - °. when the temperature of the receiver is above - °, the crystals melt,[ ] and at ° give a reddish yellow liquid, like that obtained in the decomposition of lead nitrate. the vapours of nitrogen peroxide have a characteristic odour, and at the ordinary temperature are of a dark-brown colour, but at lower temperatures the colour of the vapour is much fainter. when heated, especially above °, the colour becomes a very dark brown, so that the vapours almost lose their transparency. [ ] according to certain investigations, if a brown liquid is formed from the melted crystals by beating above - °, then they no longer solidify at - °, probably because a certain amount of n_{ }o_{ } (and oxygen) is formed, and this substance remains liquid at - °, or it may be that the passage from no_{ } into n_{ }o_{ } is not so easily accomplished as the passage from n_{ }o_{ } into no_{ }. liquid nitrogen peroxide (that is, a mixture of no_{ } and n_{ }o_{ }) is employed in admixture with hydrocarbons as an explosive. the causes of these peculiarities of nitrogen peroxide were not clearly understood until deville and troost determined the density and dissociation of the vapour of this substance at different temperatures, and showed that the density varies. if the density be referred to that of hydrogen at the same temperature and pressure, then it is found to vary from at the boiling point, or about °, to at °, after which the density remains constant up to those high temperatures at which the oxides of nitrogen are decomposed. as on the basis of the laws enunciated in the following chapter, the density corresponds with the compound no_{ } (because the weight corresponding with this molecular formula = , and the density referred to hydrogen as unity is equal to half the molecular weight); therefore at temperatures above ° the existence of nitrogen dioxide only must be recognised. it is this gas which is of a brown colour. at a lower temperature it forms nitrogen peroxide, n_{ }o_{ }, whose molecular weight, and therefore density, is twice that of the dioxide. this substance, which is isomeric with nitrogen dioxide, as ozone is isomeric with oxygen, and has twice as great a vapour density ( referred to hydrogen), is formed in greater quantity the lower the temperature, and crystallises at - °. the reasons both of the variation of the colour of the gas (n_{ }o_{ } gives colourless and transparent vapours, whilst those of no_{ } are brown and opaque) and the variation of the vapour density with the variation of temperature are thus made quite clear; and as at the boiling point a density was obtained, therefore at that temperature the vapours consist of a mixture of parts by weight of n_{ }o_{ } with parts by weight of no_{ }.[ ] it is evident that a decomposition here takes place the peculiarity of which consists in the fact that the product of decomposition, no_{ }, is polymerised (_i.e._ becomes denser, combines with itself) at a lower temperature; that is, the reaction n_{ }o_{ } = no_{ } + no_{ } is a reversible reaction, and consequently the whole phenomenon represents a _dissociation_ in a homogeneous gaseous medium, where the original substance, n_{ }o_{ }, and the resultant, no_{ }, are both gases. the _measure of dissociation_ will be expressed if we find the proportion of the quantity of the substance decomposed to the whole amount of the substance. at the boiling point, therefore, the measure of the decomposition of nitrogen peroxide will be p.c.; at ° it = , and at ° it = ; that is, the n_{ }o_{ } is not then decomposable. consequently the limits of dissociation here are - ° and ° at the atmospheric pressure.[ ] within the limits of these temperatures the vapours of nitrogen peroxide have not a constant density, but, on the other hand, above and below these limits definite substances exist. thus above ° n_{ }o_{ } has ceased to exist and no_{ } alone remains. it is evident that at the ordinary temperature there is a partially dissociated system or mixture of nitrogen peroxide, n_{ }o_{ }, and nitrogen dioxide, no_{ }. in the brown liquid boiling at ° probably a portion of the n_{ }o_{ } has already passed into no_{ }, and it is only the colourless liquid and crystalline substance at - ° that can be considered as pure nitrogen peroxide.[ ] [ ] because if _x_ equal the amount by weight of n_{ }o_{ }, its volume will = _x_/ , and the amount of no_{ } will = -_x_, and consequently its volume will = ( -_x_)/ . but the mixture, having a density , will weigh ; consequently its volume will = / . hence _x_/ + ( -_x_)/ = / , or _x_ = ·o. [ ] the phenomena and laws of dissociation, which we shall consider only in particular instances, are discussed in detail in works on theoretical chemistry. nevertheless, in respect to nitrogen peroxide, as an historically important example of dissociation in a homogeneous gaseous medium, we will cite the results of the careful investigations ( - ) of e. and l. natanson, who determined the densities under various conditions of temperature and pressure. the degree of dissociation, expressed as above (it may also he expressed otherwise--for example, by the ratio of the quantity of substance decomposed to that unaltered), proves to increase at all temperatures as the pressure diminishes, which would he expected for a homogeneous gaseous medium, as a decreasing pressure aids the formation of the lightest product of dissociation (that having the least density or largest volume). thus, in the natansons' experiments the degree of dissociation at ° increases from p.c. to p.c., with a decrease of pressure of from to mm.; at °· it increases from p.c. to p.c., with a fall of pressure of from to mm., and at ° it increases from · p.c. to · p.c., with a fall of pressure of from · to · mm. at ° and ° the decomposition is complete--that is, only no_{ } remains at the low pressures (less than the atmospheric) at which the natansons made their determinations; but it is probable that at higher pressures (of several atmospheres) molecules of n_{ }o_{ } would still be formed, and it would be exceedingly interesting to trace the phenomena under the conditions of both very considerable pressures and of relatively large volumes. [ ] liquid nitrogen peroxide is said by geuther to boil at °- °, and to have a sp. gr. at ° = · and at ° = · . it is evident that, in the liquid as in the gaseous state, the variation of density with the temperature depends, not only on physical, but also on chemical changes, as the amount of n_{ }o_{ } decreases and the amount of no_{ } increases with the temperature, and they (as polymeric substances) should have different densities, as we find, for instance, in the hydrocarbons c_{ }h_{ } and c_{ }h_{ }. it may not be superfluous to mention here that the measurement of the specific heat of a mixture of the vapours of n_{ }o_{ } and no_{ } enabled berthelot to determine that the transformation of no_{ } into n_{ }o_{ } is accompanied by the evolution of about , units of heat, and as the reaction proceeds with equal facility in either direction, it will be exothermal in the one direction and endothermal in the other; and this clearly demonstrates the possibility of reactions taking place in either direction, although, as a rule, reactions evolving heat proceed with greater ease. the above explains the action of nitrogen peroxide on water at low temperatures. n_{ }o_{ } then acts on water like a mixture of the anhydrides of nitrous and nitric acids. the first, n_{ }o_{ }, may be looked on as water in which each of the two atoms of hydrogen is replaced by the radicle no, while in the second each hydrogen is replaced by the radicle no_{ }, proper to nitric acid; and in nitrogen peroxide one atom of the hydrogen of water is replaced by no and the other by no_{ }, as is seen from the formulæ-- h} no} no } no_{ }} h} o; no} o; no_{ }} o; no_{ }} o; or h_{ }o; n_{ }o{ }; n_{ }o_{ }; n_{ }o_{ }. in fact, nitrogen peroxide at low temperatures gives with water (ice) both nitric, hno_{ }, and nitrous, hno_{ }, acids. the latter, as we shall afterwards see, splits up into water and the anhydride, n_{ }o_{ }. if, however, warm water act on nitrogen peroxide, only nitric acid and monoxide of nitrogen are formed: no_{ } + h_{ }o = no + nho_{ }. although no_{ } is not decomposed into n and o even at °, still in many cases it acts as an oxidising agent. thus, for instance, it oxidises mercury, converting it into mercurous nitrate, no_{ } + hg = hgno_{ } + no, being itself deoxidised into nitric oxide, into which the dioxide in many other instances passes, and from which it is easily formed.[ ] [ ] nitric acid of sp. gr. · in dissolving nitrogen peroxide becomes brown, whilst nitric acid of sp. gr. · is coloured greenish blue, and acid of sp. gr. below · remains colourless after absorbing nitrogen peroxide (note ). _nitrous anhydride_, n_{ }o_{ }, corresponds[ ] to nitrous acid, nho_{ }, which forms a series of salts, the nitrites--for example, the sodium salt nano_{ }, the potassium salt kno_{ }, the ammonium salt (nh_{ })no_{ },[ ] the silver salt agno_{ },[ ] &c. neither the anhydride nor the hydrate of the acid is known in a perfectly pure state. the anhydride has only been obtained as a very unstable substance, and has not yet been fully investigated; and on attempting to obtain the acid nho_{ } from its salts, it always gives water and the anhydride, whilst the latter, as an intermediate oxide, partially or wholly splits up into no + no_{ }. but the salts of nitrous acid are distinguished for their great stability. potassium nitrate, kno_{ }, may be converted into potassium nitrite by depriving it of a portion of its oxygen; for instance, by fusing it (at not too high a temperature) with metals, such as lead, kno_{ } + pb = kno_{ } + pbo.[ bis] the resultant salt is soluble in water, whilst the oxide of lead is insoluble. with sulphuric and other acids the solution of potassium nitrite[ ] immediately evolves a brown gas, nitrous anhydride: kno_{ } + h_{ }so_{ } = k_{ }so_{ } + n_{ }o_{ } + h_{ }o. the same gas (n_{ }o_{ }) is obtained by passing nitric oxide at ° through liquid peroxide of nitrogen,[ ] or by heating starch with nitric acid of sp. gr. · . at a very low temperature it condenses into a blue liquid boiling below °,[ ] but then partially decomposing into no + no_{ }. nitrous anhydride possesses a remarkable capacity for oxidising. ignited bodies burn in it, nitric acid absorbs it, and then acquires the property of acting on silver and other metals, even when diluted. _potassium iodide_ is oxidised by this gas just as it is by ozone (and by peroxide of hydrogen, chromic and other acids, but not by dilute nitric acid nor by sulphuric acid), with the _separation of iodine_. this iodine may he recognised (_see_ ozone, chapter iv.) by its turning starch blue. very small traces of nitrites may be easily detected by this method. if, for example, starch and potassium iodide are added to a solution of potassium nitrite (at first there will be no change, there being no free nitrous acid), and then sulphuric acid be added, the nitrous acid (or its anhydride) immediately set free liberates iodine, which produces a blue colour with the starch. nitric acid does not act in this manner, but in the presence of zinc the coloration takes place, which proves the formation of nitrous acid in the deoxidation of nitric acid.[ ] nitrous acid acts directly on ammonia, forming nitrogen and water, hno_{ } + nh_{ } = n_{ } + h_{ }o.[ ] [ ] nitrogen peroxide as a mixed substance has no corresponding independent salts, but sabatier and senderens ( ) showed that under certain conditions no_{ } combines directly with some metals--for instance, copper and cobalt--forming cu_{ }no_{ } and cono_{ } as dark brown powders, which do not, however, exhibit the reactions of salts. thus by passing gaseous nitrogen dioxide over freshly reduced (from the oxides by heating with hydrogen) copper at °- °, cu_{ }no_{ } is directly formed. with water it partly gives off no_{ } and partly forms nitrite of copper, leaving metallic copper and its suboxide. the nature of these compounds has not yet been sufficiently investigated. [ ] ammonium nitrite may be easily obtained in solution by a similar method of double decomposition (for instance, of the barium salt with ammonium sulphate) to the other salts of nitrous acid, but it decomposes with great ease when evaporated, with evolution of gaseous nitrogen, as already mentioned (chapter v.) if the solution, however, be evaporated at the ordinary temperature under the receiver of an air-pump, a solid saline mass is obtained, which is easily decomposed when heated. the dry salt even decomposes with an explosion when struck, or when heated to about °--nh_{ }no_{ } = h_{ }o + n_{ }. it is also formed by the action of aqueous ammonia on a mixture of nitric oxide and oxygen, or by the action of ozone on ammonia, and in many other instances. zörensen ( ) prepared nh_{ }no_{ } by the action of a mixture of n_{ }o_{ } and other oxides of nitrogen on lumps of ammonium carbonate, extracting the nitrite of ammonium formed with absolute alcohol, and precipitating it from this solution by ether. this salt is crystalline, dissolves in water with absorption of heat, and attracts moisture from the air. the solid salt and its concentrated solutions decompose with an explosion when heated to °- °, especially in the presence of traces of foreign acids. decomposition also proceeds at the ordinary temperature, but more slowly; and in order to preserve the salt it should be covered with a layer of pure dry ether. [ ] silver nitrite, agno_{ }, is obtained as a very slightly soluble substance, as a precipitate, on mixing solutions of silver nitrate, agno_{ }, and potassium nitrite, kno_{ }. it is soluble in a large volume of water, and this is taken advantage of to free it from silver oxide, which is also present in the precipitate, owing to the fact that potassium nitrite always contains a certain amount of oxide, which with water gives the hydroxide, forming oxide of silver with silver nitrate. the solution of silver nitrite gives, by double decomposition with metallic chlorides (for instance, barium chloride), insoluble silver chloride and the nitrite of the metal taken (in this case, barium nitrite, ba(no_{ })_{ }). [ bis] leroy ( ) obtained kno_{ } by mixing powdered kno_{ } with bas, igniting the mixture in a crucible and washing the fused salts; baso_{ } is then left as an insoluble residue, and kno_{ } passes into solution: kno_{ } + bas = kno_{ } + baso_{ }. [ ] probably potassium nitrite, kno_{ }, when strongly heated, especially with metallic oxides, evolves n and o, and gives potassium oxide, k_{ }o, because nitre is liable to such a decomposition; but it has, as yet, been but little investigated. [ ] there are many researches which lead to the conclusion that the reaction n_{ }o_{ } = no_{ }-no is reversible, _i.e._ resembles the conversion of n_{ }o_{ } into no_{ }. the brown colour of the fumes of n_{ }o_{ } is due to the formation of no_{ }. if nitrogen peroxide be cooled to - °, and half its weight of water be added to it drop by drop, then the peroxide is decomposed, as we have already said, into nitrous and nitric acids; the former does not then remain as a hydrate, but straightway passes into the anhydride, and, hence, if the resultant liquid be slightly warmed vapours of nitrous anhydride, n_{ }o_{ }, are evolved, and condense into a blue liquid, as fritzsche showed. this method of preparing nitrous anhydride apparently gives the purest product, but it easily dissociates, forming no and no_{ } (and therefore also nitric acid in the presence of water). [ ] according to thorpe, n_{ }o_{ } boils at + °. according to geuther, at + °· , and its sp. gr. at ° = · . [ ] in its oxidising action nitrous anhydride gives nitric oxide, n_{ }o_{ } = no + o. thus its analogy to ozone becomes still more marked, because in ozone it is only one-third of the oxygen that acts in oxidising; from o_{ } there is obtained o, which acts as an oxidiser, and common oxygen o_{ }. in a physical aspect the relation between n_{ }o_{ } and o_{ } is revealed in the fact that both substances are of a blue colour when in the liquid state. [ ] this reaction is taken advantage of for converting the amides, nh_{ }r (where r is an element or a complex group) into hydroxides, rho. in this case nh_{ }r + nho_{ } forms n + h_{ }o + rho; nh_{ }, is replaced by ho, the radicle of ammonia by the radicle of water. this reaction is employed for transforming many nitrogenous organic substances having the properties of amides into their corresponding hydroxides. thus aniline, c_{ }h_{ }·nh_{ }, which is obtained from nitrobenzene, c_{ }h_{ }·no_{ } (note ), is converted by nitrous anhydride into phenol, c_{ }h_{ }·oh, which occurs in the creosote extracted from coal tar. thus the h of the benzene is successively replaced by no_{ }, nh_{ }, and ho; a method which is suitable for other cases also. as nitrous anhydride easily splits up into no_{ } + no, so, like no_{ }, with warm water it gives nitric acid and nitric oxide, according to the equation n_{ }o_{ } + h_{ }o = no + nho_{ }. being in a lower degree of oxidation than nitric acid, nitrous acid and its anhydride are oxidised in solutions by many oxidising substances--for example, by potassium permanganate--into nitric acid.[ ] [ ] the action of a solution of potassium permanganate, kmno_{ }, on nitrous acid in the presence of sulphuric acid is determined by the fact that the higher oxide of manganese, mn_{ }o_{ }, contained in the permanganate is converted into the lower oxide, mno, which as a base forms manganese sulphate, mnso_{ }, and the oxygen serves for the oxidation of the n_{ }o_{ } into n_{ }o_{ }, or its hydrate. as the solution of the permanganate is of a red colour, whilst that of manganese sulphate is almost colourless, this reaction is clearly seen, and may be employed for the detection and determination of nitrous acid and its salts. _nitric oxide_, no.--this permanent gas[ ] (that is, unliquefiable by pressure without the aid of cold) may be obtained from all the above-described compounds of nitrogen with oxygen. the deoxidation of nitric acid by metals is the usual method employed for its preparation. dilute nitric acid (sp. gr. · , but not stronger, as then n_{ }o_{ } and no_{ } are produced) is poured into a flask containing metallic copper.[ ] the reaction commences at the ordinary temperature. mercury and silver also give nitric oxide with nitric acid. in these reactions with metals one portion of the nitric acid is employed in the oxidation of the metal, whilst the other, and by far the greater, portion combines with the metallic oxide so obtained, with formation of the nitrate corresponding with the metal taken. the first action of the copper on the nitric acid is thus expressed by the equation nho_{ } + cu = h_{ }o + cuo + no. the second reaction consists in the formation of copper nitrate-- nho_{ } + cuo = h_{ }o + cu(no_{ })_{ }. [ ] the absolute boiling point = - ° (_see_ chapter ii., note ). [ ] kammerer proposed preparing nitric oxide, no, by pouring a solution of sodium nitrate over copper shavings, and adding sulphuric acid drop by drop. the oxidation of ferrous salts by nitric acid also gives no. one part of strong hydrochloric acid is taken and iron is dissolved in it (fecl_{ }), and then an equal quantity of hydrochloric acid and nitre is added to the solution. on heating, nitric oxide is evolved. in the presence of an excess of sulphuric acid and mercury the conversion of nitric acid into nitric oxide is complete (that is, the reaction proceeds to the end and the nitric oxide is obtained without other products), and upon this is founded one of the methods for determining nitric acid (in nitrometers of various kinds, described in text-books of analytical chemistry), as the amount of no can be easily and accurately measured volumetrically. the amount of nitrogen in gun-cotton, for instance, is determined by dissolving it in sulphuric acid. nitrous acid acts in the same manner. upon this property emich ( ) founds his method for preparing pure no. he pours mercury into a flask, and then covers it with sulphuric acid, in which a certain amount of nano_{ } or other substance corresponding to hno_{ } or hno_{ } has been dissolved. the evolution of no proceeds at the ordinary temperature, being more rapid as the surface of the mercury is increased (if shaken, the reaction proceeds very rapidly). if the gas be passed over kho, it is obtained quite pure, because kho does not act upon no at the ordinary temperature (if heated, kno_{ } and n_{ }o or n_{ }, are formed). nitric oxide is a colourless gas which is only slightly soluble in water ( / of a volume at the ordinary temperature). reactions of double decomposition in which nitric oxide readily takes part are not known--that is to say, it is an indifferent, not a saline, oxide. like the other oxides of nitrogen, it is decomposed into its elements at a red heat (starting from °, at , ° per cent. give n_{ } and n_{ }o_{ }, but complete decomposition into n_{ } and o_{ } only takes place at the melting point of platinum, emich ). the most characteristic property of nitric oxide is its capacity for directly and easily combining with oxygen (owing to the evolution of heat in the combination). with oxygen it forms nitrous anhydride and nitrogen peroxide, no + o = n_{ }o_{ }, no + o_{ } = no_{ }. if nitric oxide is mixed with oxygen and immediately shaken up with caustic potash, it is almost entirely converted into potassium nitrite; whilst after a certain time, when the formation of nitric peroxide has already commenced, a mixture of potassium nitrite and nitrate is obtained. if oxygen is passed into a bell jar filled with nitric oxide, brown fumes of nitrous anhydride and nitric peroxide are formed, even in the absence of moisture; these in the presence of water give, as we already know, nitric acid and nitric oxide, so that in the presence of an excess of water and oxygen the whole of the nitric oxide is easily and directly converted into nitric acid. this reaction of the re-formation of nitric acid from nitric oxide, air, and water, no + h_{ }o + o_{ } = hno_{ }, is frequently made use of in practice. the experiment showing the conversion of nitric oxide into nitric acid is very striking and instructive. as the intermixture of the oxygen with the oxide of nitrogen proceeds, the nitric acid formed dissolves in water, and if an excess of oxygen has not been added the whole of the gas (nitric oxide), being converted into hno_{ }, is absorbed, and the water entirely fills the bell jar previously containing the gas.[ ] it is evident that nitric oxide[ ] in combining with oxygen has a strong tendency to give the higher types of nitrogen compounds, which we see in nitric acid, hno_{ } or no_{ }(oh), in nitric anhydride, n_{ }o_{ } or (no_{ })_{ }o, and in ammonium chloride, nh_{ }cl. if x stand for an atom of hydrogen, or its equivalents, chlorine, hydroxyl, &c., and if o, which is, according to the law of substitution, equivalent to h_{ }, be indicated by x_{ }, then the three compounds of nitrogen above named should be considered as compounds of the type or form nx_{ }. for example, in nitric acid x_{ } = o_{ } + (oh), where o_{ } = x_{ }, and oh = x; whilst nitric oxide is a compound of the form nx_{ }. hence this lower form, like lower forms in general, strives by combination to attain to the higher forms proper to the compounds of a given element. nx_{ } passes consecutively into nx_{ }--namely, into n_{ }o_{ } and nho_{ }, nx_{ } (for instance no_{ }) and nx_{ }. [ ] this transformation of the permanent gases nitric oxide and oxygen into liquid nitric acid in the presence of water, and with the evolution of heat, presents a most striking instance of liquefaction produced by the action of chemical forces. they perform with ease the work which physical (cooling) and mechanical (pressure) forces effect with difficulty. in this the motion, which is so distinctively the property of the gaseous molecules, is apparently destroyed. in other cases of chemical action it is apparently created, arising, no doubt, from latent energy--that is, from the internal motion of the atoms in the molecules. [ ] nitric oxide is capable of entering into many characteristic combinations; it is absorbed by the solutions of many acids, for instance, tartaric, acetic, phosphoric, sulphuric, and metallic chlorides (for example, sbcl_{ }, bicl_{ }, &c., with which it forms definite compounds; besson ), and also by the solutions of many salts, especially those formed by suboxide of iron (for instance, ferrous sulphate). in this case a brown compound is formed which is exceedingly unstable, like all the analogous compounds of nitric oxide. the amount of nitric oxide combined in this manner is in atomic proportion with the amount of the substance taken; thus ferrous sulphate, feso_{ }, absorbs it in the proportion of no to feso_{ }. ammonia is obtained by the action of a caustic alkali on the resultant compound, because the oxygen of the nitric oxide and water are transferred to the ferrous oxide, forming ferric oxide, whilst the nitrogen combines with the hydrogen of the water. according to the investigations of gay ( ), the compound is formed with the evolution of a large quantity of heat, and is easily dissociated, like a solution of ammonia in water. it is evident that oxidising substances (for example, potassium permanganate, kmno_{ }, note ) are able to convert it into nitric acid. if the presence of a radicle no_{ }, composed like nitrogen peroxide, must be recognised in the compounds of nitric acid, then a radicle no, having the composition of nitric oxide, may be admitted in the compounds of nitrous acid. the compounds in which the radicle no is recognised are called _nitroso-compounds_. these substances are described in prof. bunge's work (kief, ). as the decomposition of nitric oxide begins at temperatures above °, many substances burn in it; thus, ignited phosphorus continues to burn in nitric oxide, but sulphur and charcoal are extinguished in it. this is due to the fact that the heat evolved in the combustion of these two substances is insufficient for the decomposition of the nitric oxide, whilst the heat developed by burning phosphorus suffices to produce this decomposition. that nitric oxide really supports combustion, owing to its being decomposed by the action of heat, is proved by the fact that strongly ignited charcoal continues to burn in the same nitric oxide[ ] in which a feebly incandescent piece of charcoal is extinguished. [ ] a mixture of nitric oxide and hydrogen is inflammable. if a mixture of the two gases be passed over spongy platinum the nitrogen and hydrogen even combine, forming ammonia. a mixture of nitric oxide with many combustible vapours and gases is very inflammable. a very characteristic flame is obtained in burning a mixture of nitric oxide and the vapour of the combustible carbon bisulphide, cs_{ }. the latter substance is very volatile, so that it is sufficient to pass the nitric oxide through a layer of the carbon bisulphide (for instance, in a woulfe's bottle) in order that the gas escaping should contain a considerable amount of the vapours of this substance. this mixture continues to burn when ignited, and the flame emits a large quantity of the so-called ultra-violet rays, which are capable of inducing chemical combinations and decompositions, and therefore the flame may be employed in photography in the absence of sufficient daylight (magnesium light and electric light have the same property). there are many gases (for instance, ammonia) which when mixed with nitric oxide explode in a eudiometer. the compounds of nitrogen with oxygen which we have so far considered may all be prepared from nitric oxide, and may themselves be converted into it. thus nitric oxide stands in intimate connection with them.[ ] the passage of nitric oxide into the higher degrees of oxidation and the converse reaction is employed in practice as a means for _transferring_ the oxygen of the air to substances capable of being oxidised. starting with nitric oxide, it may easily be converted, with the aid of the oxygen of the atmosphere and water, into nitric acid, nitrous anhydride, and nitric peroxide, and by their means employed to oxidise other substances. in this oxidising action nitric oxide is again formed, and it may again be converted into nitric acid, and so on continuously, if only oxygen and water be present. hence the fact, which at first appears to be a paradox, that by means of a small quantity of nitric oxide in the presence of oxygen and water it is possible to oxidise an indefinitely large quantity of substances which cannot be directly oxidised either by the action of the atmospheric oxygen or by the action of nitric oxide itself. the sulphurous anhydride, so_{ }, which is obtained in the combustion of sulphur and in roasting many metallic sulphides in the air is an example of this kind. in practice this gas is obtained by burning sulphur or iron pyrites, the latter being thereby converted into oxide of iron and sulphurous anhydride. in contact with the oxygen of the atmosphere this gas does not pass into the higher degree of oxidation, sulphuric anhydride, so_{ }, and if it does form sulphuric acid with water and the oxygen of the atmosphere, so_{ } + h_{ }o + o = h_{ }so_{ }, it does so very slowly. with nitric acid (and especially with nitrous acid, but not with nitrogen peroxide) and water, sulphurous anhydride, on the contrary, very easily forms sulphuric acid, and especially so when slightly heated (about °), the nitric acid (or, better still, nitrous acid) being converted into nitric oxide-- so_{ } + nho_{ } + h_{ }o = h_{ }so_{ } + no. [ ] the oxides of nitrogen naturally do not proceed directly from oxygen and nitrogen by contact alone, because their formation is accompanied by the absorption of a large quantity of heat, for (_see_ note ) about , heat units are absorbed when parts of oxygen and parts of nitrogen combine; consequently the decomposition of nitric oxide into oxygen and nitrogen is accompanied by the evolution of this amount of heat; and therefore with nitric oxide, as with all explosive substances and mixtures, the reaction once started is able to proceed by itself. in fact, berthelot remarked the decomposition of nitric oxide in the explosion of fulminate of mercury. this decomposition does not take place spontaneously; substances even burn with difficulty in nitric oxide, probably because a certain portion of the nitric oxide in decomposing gives oxygen, which combines with another portion of nitric oxide, and forms nitric peroxide, a somewhat more stable compound of nitrogen and oxygen. the further combinations of nitric oxide with oxygen all proceed with the evolution of heat, and take place spontaneously by contact with air alone. it is evident from these examples that the application of thermochemical data is limited. the presence of water is absolutely indispensable here, otherwise sulphuric anhydride is formed, which combines with the oxides of nitrogen (nitrous anhydride), forming a crystalline substance containing oxides of nitrogen (_chamber crystals_, which will be described in chapter xx.) water destroys this compound, forming sulphuric acid and separating the oxides of nitrogen. the water must be taken in a greater quantity than that required for the formation of the hydrate h_{ }so_{ }, because the latter absorbs oxides of nitrogen. with an excess of water, however, solution does not take place. if, in the above reaction, only water, sulphurous anhydride, and nitric or nitrous acid be taken in a definite quantity, then a definite quantity of sulphuric acid and nitric oxide will be formed, according to the preceding equation; but there the reaction ends and the excess of sulphurous anhydride, if there be any, will remain unchanged. but if we add air and water, then the nitric oxide will unite with the oxygen to form nitrogen peroxide, and the latter with water to form nitric and nitrous acids, which again give sulphuric acid from a fresh quantity of sulphurous anhydride. nitric oxide is again formed, which is able to start the oxidation afresh if there be sufficient air. thus it is possible with a definite quantity of nitric oxide to convert an indefinitely large quantity of sulphurous anhydride into sulphuric acid, water and oxygen only being required.[ ] this may be easily demonstrated by an experiment on a small scale, if a certain quantity of nitric oxide be first introduced into a flask, and sulphurous anhydride, steam, and oxygen be then continually passed in. thus the above-described reaction may be expressed in the following manner:-- _n_so_{ } + _n_o + (_n_ + _m_)h_{ }o + no = _n_h_{ }so_{ },_m_h_{ }o + no if we consider only the original substances and those finally formed. in this way a definite quantity of nitric oxide may serve for the conversion of an indefinite quantity of sulphurous anhydride, oxygen, and water into sulphuric acid. in reality, however, there is a limit to this, because air, and not pure oxygen, is employed for the oxidation, so that it is necessary to remove the nitrogen of the air and to introduce a fresh quantity of air. a certain quantity of nitric oxide will pass away with this nitrogen, and will in this way be lost.[ ] [ ] the instance of the action of a small quantity of no in inducing a definite chemical reaction between large masses (so_{ } + o + h_{ }o = h_{ }so_{ }) is very instructive, because the particulars relating to it have been studied, and show that intermediate forms of reaction may be discovered in the so-called contact or catalytic phenomena. the essence of the matter here is that a (= so_{ }) reacts upon b (= o and h_{ }o) in the presence of c, because it gives bc, a substance which forms ab with a, and again liberates c. consequently c is a medium, a transferring substance, without which the reaction does not proceed. many similar phenomena may be found in other departments of life. thus the merchant is an indispensable medium between the producer and the consumer; experiment is a medium between the phenomena of nature and the cognisant faculties, and language, customs, and laws are media which are as necessary for the exchanges of social intercourse as nitric oxide for those between sulphurous anhydride and oxygen and water. [ ] if the sulphurous anhydride be prepared by roasting iron pyrites, fes_{ }, then each equivalent of pyrites (equivalent of iron, , of sulphur , of pyrites ) requires six equivalents of oxygen (that is parts) for the conversion of its sulphur into sulphuric acid (for forming h_{ }so_{ } with water), besides - / equivalents ( parts) for converting the iron into oxide, fe_{ }o_{ }; hence the combustion of the pyrites for the formation of sulphuric acid and ferric oxide requires the introduction of an equal weight of oxygen ( parts of oxygen to parts of pyrites), or five times its weight of air, whilst four parts by weight of nitrogen will remain inactive, and in the removal of the exhausted air will carry off the remaining nitric oxide. if not all, at least a large portion of the nitric oxide may be collected by passing the escaping air, still containing some oxygen, through substances which absorb oxides of nitrogen. sulphuric acid itself may be employed for this purpose if it be used in the form of the hydrate h_{ }so_{ }, or containing only a small amount of water, because such sulphuric acid dissolves the oxides of nitrogen. they may be easily expelled from this solution by heating or by dilution with water, as they are only slightly soluble in aqueous sulphuric acid. besides which, sulphurous anhydride acts on such sulphuric acid, being oxidised at the expense of the nitrous anhydride, and forming nitric oxide from it, which again enters into the cycle of action. for this reason the sulphuric acid which has absorbed the oxides of nitrogen escaping from the chambers in the tower k (_see_ fig. ) is led back into the first chamber, where it comes into contact with sulphurous anhydride, by which means the oxides of nitrogen are reintroduced into the reaction which proceeds in the chambers. this is the use of the towers (gay-lussac's and glover's) which are erected at either end of the chambers. the preceding series of changes serve as the basis of the _manufacture of sulphuric acid_ or so-called _chamber acid_. this acid is prepared on a very large scale in chemical works because it is the cheapest acid whose action can be applied in a great number of cases. it is therefore used in immense quantities. [illustration: fig. .--section of sulphuric acid chambers, the first and last chambers only being represented. the tower to the left is called the glover's tower, and that on the right the gay-lussac's tower. less than / th of the natural size.] the process is carried on in a series of chambers (or in one divided by partitions as in fig. , which shows the beginning and end of a chamber) constructed of sheet lead. these chambers are placed one against the other, and communicate by tubes or special orifices so placed that the inlet tubes are in the upper portion of the chamber, and the outlet in the lower and opposite end. the current of steam and gases necessary for the preparation of the sulphuric acid passes through these chambers and tubes. the acid as it is formed falls to the bottom of the chambers or runs down their walls, and flows from chamber to chamber (from the last towards the first), to permit of which the partitions do not reach to the bottom. the floor and walls of the chambers should therefore be made of a material on which the sulphuric acid will not act. among the ordinary metals lead is the only one suitable.[ bis] [ bis] other metals, iron, copper, zinc, are corroded by it; glass and china are not acted upon, but they crack from the variations of temperature taking place in the chambers, and besides they are more difficult to join properly than lead; wood, &c., becomes charred. for the formation of the sulphuric acid it is necessary to introduce sulphurous anhydride, steam, air, and nitric acid, or some oxide of nitrogen, into the chambers. the sulphurous anhydride is produced by burning sulphur or iron pyrites. this is carried on in the furnace with four hearths to the left of the drawing. air is led into the chambers and furnace through orifices in the furnace doors. the current of air and oxygen is regulated by opening or closing these orifices to a greater or less extent. the ingoing draught in the chambers is brought about by the fact that heated gases and vapours pass into the chambers, whose temperature is further raised by the reaction itself, and also by the remaining nitrogen being continually withdrawn from the outlet (above the tower k) by a tall chimney situated near the chambers. nitric acid is prepared from a mixture of sulphuric acid and chili saltpetre, in the same furnaces in which the sulphurous anhydride is evolved (or in special furnaces). not more than parts of nitre are taken to parts of sulphur burnt. on leaving the furnace the vapours of nitric acid and oxides of nitrogen mixed with air and sulphurous anhydride first pass along the horizontal tubes t into the receiver b b, which is partially cooled by water flowing in on the right-hand side and running out on the left by _o_, in order to reduce the temperature of the gases entering the chamber. the gases then pass up a tower filled with coke, and shown to the left of the drawing. in this tower are placed lumps of coke (the residue from the dry distillation of coal), over which sulphuric acid trickles from the reservoir m. this acid has absorbed in the end tower k the oxides of nitrogen escaping from the chamber. this end tower is also filled with coke, over which a stream of strong sulphuric acid trickles from the reservoir m. the acid spreads over the coke, and, owing to the large surface offered by the latter, absorbs the greater part of the oxides of nitrogen escaping from the chambers. the sulphuric acid in passing down the tower becomes saturated with the oxides of nitrogen, and flows out at _h_ into a special receiver (in the drawing situated by the side of the furnaces), from which it is forced up the tubes _h´ h´_ by steam pressure into the reservoir m, situated above the first tower. the gases passing through this tower (hot) from the furnace on coming into contact with the sulphuric acid take up the oxides of nitrogen contained in it, and these are thus returned to the chamber and again participate in the reaction. the sulphuric acid left after their extraction flows into the chambers. thus, on leaving the first coke tower the sulphurous anhydride, air, and vapours of nitric acid and of the oxides of nitrogen pass through the upper tube _m_ into the chamber. here they come into contact with steam introduced by lead tubes into various parts of the chamber. the reaction takes place in the presence of water, the sulphuric acid falls to the bottom of the chamber, and the same process takes place in the following chambers until the whole of the sulphurous anhydride is consumed. a somewhat greater proportion of air than is strictly necessary is passed in, in order that no sulphurous anhydride should be left unaltered for want of sufficient oxygen. the presence of an excess of oxygen is shown by the colour of the gases escaping from the last chamber. if they be of a pale colour it indicates an insufficiency of air (and the presence of sulphurous anhydride), as otherwise peroxide of nitrogen would be formed. a very dark colour shows an excess of air, which is also disadvantageous, because it increases the inevitable loss of nitric oxide by increasing the mass of escaping gases.[ ] [ ] by this means as much as , , kilograms of chamber acid, containing about per cent. of the hydrate h_{ }so_{ } and about per cent. of water, may be manufactured per year in one plant of , cubic metres capacity (without stoppages). this process has been brought to such a degree of perfection that as much as parts of the hydrate h_{ }so_{ } are obtained from parts of sulphur, whilst the theoretical amount is not greater than parts. the acid parts with its excess of water on heating. for this purpose it is heated in lead vessels. however, the acid containing about per cent. of the hydrate ( ° baumé) already begins to act on the lead when heated, and therefore the further removal of water is conducted by evaporating in glass or platinum vessels, as will he described in chapter xx. the aqueous acid ( ° baumé) obtained in the chambers is termed chamber acid. the acid concentrated to ° baumé is more generally employed, and sometimes the hydrate ( ° baumé) termed vitriol acid is also used. in england alone more than , million kilograms of chamber acid are produced by this method. the formation of sulphuric acid by the action of nitric acid was discovered by drebbel, and the first lead chamber was erected by roebuck, in scotland, in the middle of the last century. the essence of the process was only brought to light at the beginning of this century, when many improvements were introduced into practice. _nitrous oxide_, n_{ }o,[ ] is similar to water in its volumetric composition. two volumes of nitrous oxide are formed from two volumes of nitrogen and one volume of oxygen, which may be shown by the ordinary method for the analysis of the oxides of nitrogen (by passing them over red-hot copper or sodium). in contradistinction to the other oxides of nitrogen, it is not directly oxidised by oxygen, but it may be obtained from the higher oxides of nitrogen by the action of certain deoxidising substances; thus, for example, a mixture of two volumes of nitric oxide and one volume of sulphurous anhydride if left in contact with water and spongy platinum is converted into sulphuric acid and nitrous oxide, no + so_{ } + h_{ }o = h_{ }so_{ } + n_{ }o. nitric acid, also, under the action of certain metals--for instance, of zinc[ ]--gives nitrous oxide, although in this case mixed with nitric oxide. the usual method of preparing nitrous oxide consists in the decomposition of ammonium nitrate by the aid of heat, because in this case only water and nitrous oxide are formed, nh_{ }no_{ } = h_{ }o + n_{ }o (a mixture of nh_{ }cl and kno_{ } is sometimes taken). the decomposition[ ] proceeds very easily in an apparatus like that used for the preparation of ammonia or oxygen--that is, in a retort or flask with a gas-conducting tube. the decomposition must, however, be carried on carefully, as otherwise nitrogen is formed from the decomposition of the nitrous oxide.[ ] [ ] if the hydrate hno_{ } corresponds to n_{ }o_{ }, the hydrate hno, _hyponitrous acid_, corresponds to n_{ }o, and in this sense n_{ }o is _hyponitrous anhydride_. hyponitrous acid, corresponding with nitrous oxide (as its anhydride), is not known in a pure state, but its salts (divers) are known. they are prepared by the reduction of nitrous (and consequently of nitric) salts by sodium amalgam. if this amalgam he added to a cold solution of an alkaline nitrite until the evolution of gas ceases, and the excess of alkali saturated with acetic acid, an insoluble yellow precipitate of silver hyponitrite, nago, will he obtained on adding a solution of silver nitrate. this hyponitrite is insoluble in cold acetic acid, and decomposes when heated, with the evolution of nitrous oxide. if rapidly heated it decomposes with an explosion. it is dissolved unchanged by weak mineral acids, whilst the stronger acids (for example, sulphuric and hydrochloric acids) decompose it, with the evolution of nitrogen, nitric and nitrous acids remaining in solution. among the other salts of hyponitrous acid, hno, the salts of lead, copper, and mercury are insoluble in water. judging by the bond between hyponitrous acid and the other compounds of nitrogen, there is reason for thinking that its formula should he doubled, n_{ }h_{ }o_{ }. for instance, thoune ( ) on gradually oxidising hydroxylamine, nh_{ }(oh), into nitrous acid, no(oh) (note ), by means of an alkaline solution of kmno_{ }, first obtained hyponitrous acid, n_{ }h_{ }o_{ }, and then a peculiar intermediate acid, n_{ }h_{ }o_{ }, which, by further oxidation, gave nitrous acid. on the other hand, wislicenus ( ) showed that in the action of the sulphuric acid salt of hydroxylamine upon nitrite of sodium, there is formed, besides, nitrous oxide (according to v. meyer, nh_{ }o,h_{ }so_{ } + nano_{ } = nahso_{ } + h_{ }o + n_{ }o), a small amount of hyponitrous acid which may be precipitated in the form of the silver salt; and this reaction is most simply expressed by taking the doubled formula of hyponitrous acid, nh_{ }(oh) + no(oh) = h_{ }o + n_{ }h_{ }o_{ }. the best argument in favour of the doubled formula is the property possessed by hyponitrous acid of forming acid salts, hnan_{ }o_{ } (zorn). according to thoune, the following are the properties of hyponitrous acid. when liberated from the dry silver salt by the action of dry sulphuretted hydrogen, hyponitrous acid is unstable, and easily explodes even at low temperatures. but when dissolved in water (having been formed by the action of hydrochloric acid upon the silver salt), it is stable even when boiled with dilute acids and alkalis. the solution is colourless and has a strongly acid reaction. in the course of time, however, the aqueous solution also decomposes into nitrous oxide and water. the complete oxidation by permanganate of potash proceeds according to the following equation: h_{ }n_{ }o_{ } + kmno_{ } + h_{ }so_{ } = hno_{ } + k_{ }so_{ } + mnso_{ } + h_{ }o. in an alkaline solution, kmno_{ } only oxidises hyponitrous acid into nitrous and not into nitric acid. nitrous acid has a decomposing action upon hyponitrous acid, and if the aqueous solutions of the two acids be mixed together they immediately give off oxides of nitrogen. hyponitrous acid does not liberate co_{ } from its salts, but on the other hand it is not displaced by co_{ }. [ ] it is remarkable that electro-deposited copper powder gives nitrous oxide with a p.c. solution of nitric acid, whilst ordinary copper gives nitric oxide. it is here evident that the physical and mechanical structure of the substance affects the course of the reaction--that is to say, it is a case of contact-action. [ ] this decomposition is accompanied by the evolution of about , calories per molecular quantity, nh_{ }no_{ }, and therefore takes place with ease, and sometimes with an explosion. [ ] in order to remove any nitric oxide that might be present, the gas obtained is passed through a solution of ferrous sulphate. as nitrous oxide is very soluble in cold water (at °, volumes of water dissolve volumes of n_{ }o; at °, volumes), it must be collected over warm water. the nitrous oxide is much more soluble than nitric oxide, which is in agreement with the fact that nitrous oxide is much more easily liquefied than nitric oxide. villard obtained a crystallohydrate, n_{ }o, h_{ }o, which was tolerably stable at °. [illustration: fig. .--natterer's apparatus for the preparation of liquid nitrous oxide and carbonic anhydride. the gas first passes though the vessel v, for drying, and then into the pump (a section of the upper part of the apparatus is given on the left). the piston _t_ of the force pump is moved by the crank e and fly-wheel turned by hand. the gas is pumped into the iron chamber a, where it is liquefied. the valve s allows the gas to enter a, but not to escape from it. the chamber and pump are cooled by the jacket b, filled with ice. when the gas is liquefied the vessel a is unscrewed from the pump, and the liquid may be poured from it by inverting it and unscrewing the valve _v_, when the liquid runs out of the tube _x_.] nitrous oxide is not a permanent gas (absolute boiling point + °); it is easily liquefied by the action of cold under a high pressure; at ° it may be liquefied by a pressure of about atmospheres. this gas is usually liquefied by means of the force pump[ ] shown in fig. . as it is liquefied with comparative ease, and as the cold produced by its vaporisation is very considerable,[ ] it (as also liquid carbonic anhydride) is often employed in investigations requiring a low temperature. nitrous oxide forms a very mobile, colourless liquid, which acts on the skin, and is incapable in a cold state of oxidising either metallic potassium, phosphorus, or carbon; its specific gravity is slightly less than that of water ( ° = · , ° = · , ° = · , ° = · , villard, ). when evaporated under the receiver of an air-pump, the temperature falls to - °, and the liquid solidifies into a snow-like mass, and partially forms transparent crystals. both these substances are solid nitrous oxide. mercury is immediately solidified in contact with evaporating liquid nitrous oxide.[ ] [ ] faraday obtained liquid nitrous oxide by the same method as liquid ammonia, by beating dry ammonium nitrate in a closed bent tube, one arm of which was immersed in a freezing mixture. in this case two layers of liquid are obtained at the cooled end, a lower layer of water and an upper layer of nitrous oxide. this experiment should be conducted with great care, as the pressure of the nitrous oxide in a liquid state is considerable, namely (according to regnault), at + ° = atmospheres, at ° = atmospheres, at - ° = atmospheres, and at - ° = atmospheres. it boils at - °, and the pressure is then therefore = atmosphere (_see_ chapter ii., note ). [ ] liquid nitrous oxide, in vaporising at the same pressure as liquid carbonic anhydride, gives rise to almost equal or even slightly lower temperatures. thus at a pressure of mm. carbonic anhydride gives a temperature as low as - °, and nitrous oxide of - ° (dewar). the similarity of these properties and even of the absolute boiling point (co_{ } + °, n_{ }o + °) is all the more remarkable because these gases have the same molecular weight = (chapter vii.) [ ] a very characteristic experiment of simultaneous combustion and intense cold may be performed by means of liquid nitrous oxide; if liquid nitrous oxide be poured into a test tube containing some mercury the mercury will solidify, and if a piece of red-hot charcoal be thrown upon the surface of the nitrous oxide it will continue to burn very brilliantly, giving rise to a high temperature. when introduced into the respiratory organs (and consequently into the blood also) nitrous oxide produces a peculiar kind of intoxication accompanied by spasmodic movements, and hence this gas, discovered by priestley in , received the name of 'laughing gas.' on a prolonged respiration it produces a state of insensibility (it is an anæsthetic like chloroform), and is therefore employed in dental and surgical operations. nitrous oxide is easily decomposed into nitrogen and oxygen by the action of heat, or a series of electric sparks; and this explains why a number of substances which cannot burn in nitric oxide do so with great ease in nitrous oxide. in fact, when nitric oxide gives some oxygen on decomposition, this oxygen immediately unites with a fresh portion of the gas to form nitric peroxide, whilst nitrous oxide does not possess this capacity for further combination with oxygen.[ ] a mixture of nitrous oxide with hydrogen explodes like detonating gas, gaseous nitrogen being formed, n_{ }o + h_{ } = h_{ }o + n_{ }. the volume of the remaining nitrogen is equal to the original volume of nitrous oxide, and is equal to the volume of hydrogen entering into combination with the oxygen; hence in this reaction equal volumes of nitrogen and hydrogen replace each other. nitrous oxide is also very easily decomposed by red-hot metals; and sulphur, phosphorus, and charcoal burn in it, although not so brilliantly as in oxygen. a substance in burning in nitrous oxide evolves more heat than an equal quantity burning in oxygen; which most clearly shows that in the formation of nitrous oxide by the combination of nitrogen with oxygen there was not an evolution but an absorption of heat, there being no other source for the excess of heat in the combustion of substances in nitrous oxide (_see_ note ). if a given volume of nitrous oxide be decomposed by a metal--for instance, sodium--then there remains, after cooling and total decomposition, a volume of nitrogen, exactly equal to that of the nitrous oxide taken; consequently the oxygen is, so to say, distributed between the atoms of nitrogen without producing an increase in the volume of the nitrogen. [ ] in the following chapter we shall consider the volumetric composition of the oxides of nitrogen. it explains the difference between nitric and nitrous oxide. nitrous oxide is formed with a diminution of volumes (contraction), nitric oxide without contraction, its volume being equal to the sum of the volumes of the nitrogen and oxygen of which it is composed. by oxidation, if it could be directly accomplished, two volumes of nitrous oxide and one volume of oxygen would not give three but four volumes of nitric oxide. these facts must be taken into consideration in comparing the calorific equivalents of formation, the capacity for supporting combustion, and other properties of nitrous and nitric oxides, n_{ }o and no. chapter vii molecules and atoms. the laws of gay-lussac and avogadro-gerhardt hydrogen combines with oxygen in the proportion of two volumes to one. the composition by volume of nitrous oxide is exactly similar--it is composed of two volumes of nitrogen and one volume of oxygen. by decomposing ammonia by the action of an electric spark it is easy to prove that it contains one volume of nitrogen to three volumes of hydrogen. so, similarly, it is found, whenever a compound is decomposed and the volumes of the gases proceeding from it are measured, that the volumes of the gases or vapours entering into combination are in a very simple proportion to one another. with water, nitrous oxide, &c., this may be proved by direct observation; but in the majority of cases, and especially with substances which, although volatile--that is, capable of passing into a gaseous (or vaporous) state--are liquid at the ordinary temperature, such a direct method of observation presents many difficulties. but, then, if the densities of the vapours and gases be known, the same simplicity in their ratio is shown by calculation. the volume of a substance is proportional to its weight, and inversely proportional to its density, and therefore by dividing the amount by weight of each substance entering into the composition of a compound by its density in the gaseous or vaporous state we shall obtain factors which will be in the same proportion as the volumes of the substances entering into the composition of the compound.[ ] so, for example, water contains eight parts by weight of oxygen to one part by weight of hydrogen, and their densities are and , consequently their volumes (or the above-mentioned factors) are and / , and therefore it is seen without direct experiment that water contains two volumes of hydrogen for every one volume of oxygen. so also, knowing that nitric oxide contains fourteen parts of nitrogen and sixteen parts of oxygen, and knowing that the specific gravities of these last two gases are fourteen and sixteen, we find that the volumes in which nitrogen and oxygen combine for the formation of nitric oxide are in the proportion of : . we will cite another example. in the last chapter we saw that the density of no_{ } only becomes constant and equal to twenty-three (referred to hydrogen) above °, and as a matter of fact a method of direct observation of the volumetric composition of this substance would be very difficult at so high a temperature. but it may be easily calculated. no_{ }, as is seen from its formula and analysis, contains thirty-two parts by weight of oxygen to fourteen parts by weight of nitrogen, forming forty-six parts by weight of no_{ }, and knowing the densities of these gases we find that one volume of nitrogen with two volumes of oxygen gives two volumes of nitrogen peroxide. therefore, knowing the amounts by weight of the substances participating in a reaction or forming a given substance, and knowing the density of the gas or vapour,[ ] the volumetric relations of the substances acting in a reaction or entering into the composition of a compound, may be also determined. [ ] if the weight be indicated by p, the density by d, and the volume by v, then p/d = _k_v where _k_ is a coefficient depending on the system of the expressions p, d, and v. if d be the weight of a cubic measure of a substance referred to the weight of the same measure of water--if, as in the metrical system (chapter i., note ), the cubic measure of one part by weight of water be taken as a unit of volume--then _k_ = . but, whatever it be, it is cancelled in dealing with the comparison of volumes, because comparative and not absolute measures of volumes are taken. in this chapter, as throughout the book, the weight p is given in grams in dealing with absolute weights; and if comparative, as in the expression of chemical composition, then the weight of an atom is taken as unity. the density of gases, d, is also taken in reference to the density of hydrogen, and the volume v in metrical units (cubic centimetres), if it be a matter of absolute magnitudes of volumes, and if it be a matter of chemical transformations--that is, of relative volumes--then the volume of an atom of hydrogen, or of one part by weight of hydrogen, is taken as unity, and all volumes are expressed according to these units. [ ] as the volumetric relations of vapours and gases, next to the relations of substances by weight, form the most important province of chemistry, and a most important means for the attainment of chemical conclusions, and inasmuch as these volumetric relations are determined by the densities of gases and vapours, necessarily the methods of determining the densities of vapours (and also of gases) are important factors in chemical research. these methods are described in detail in works on physics and physical and analytical chemistry, and therefore we here only touch on the general principles of the subject. if we know the weight _p_ and volume _v_, occupied by the vapour of a given substance at a temperature _t_ and pressure _h_, then its density may be directly obtained by dividing _p_ by the weight of a volume _v_ of hydrogen (if the density be expressed according to hydrogen, _see_ chapter ii., note ) at _t_ and _h_. hence, the methods of determining the density of vapours and gases are based on the determination of _p_, _v_, _t_, and _h_. the two last data (the temperature _t_ and pressure _h_) are given by the thermometer and barometer and the heights of mercury or other liquid confining the gas, and therefore do not require further explanation. it need only be remarked that: ( ) in the case of easily volatile liquids there is no difficulty in procuring a bath with a constant temperature, but that it is nevertheless best (especially considering the inaccuracy of thermometers) to have a medium of absolutely constant temperature, and therefore to take either a bath in which some substance is melting--such as melting ice at ° or crystals of sodium acetate, melting at + °--or, as is more generally practised, to place the vessel containing the substance to be experimented with in the vapour of a liquid boiling at a definite temperature, and knowing the pressure under which it is boiling, to determine the temperature of the vapour. for this purpose the boiling points of water at different pressures are given in chapter i., note , and the boiling points of certain easily procurable liquids at various pressures are given in chapter ii., note . ( ) with respect to temperatures above ° (below which mercurial thermometers may be conveniently employed), they are most simply obtained constant (to give time for the weight and volume of a substance being observed in a given space, and to allow that space to attain the calculated temperature _t_) by means of substances boiling at a high temperature. thus, for instance, at the ordinary atmospheric pressure the temperature _t_ of the vapour of sulphur is about °, of phosphorus pentasulphide °, of tin chloride °, of cadmium °, of zinc ° (according to violle and others), or ° (according to deville), &c. ( ) the indications of the hydrogen thermometer must be considered as the most exact (but as hydrogen diffuses through incandescent platinum, nitrogen is usually employed). ( ) the temperature of the vapours used as the bath should in every case be several degrees higher than the boiling point of the liquid whose density is to be determined, in order that no portion should remain in a liquid state. but even in this case, as is seen from the example of nitric peroxide (chapter vi.), the vapour density does not always remain constant with a change of _t_, as it should were the law of the expansion of gases and vapours absolutely exact (chapter ii., note ). if variations of a chemical and physical nature similar to that which we saw in nitric peroxide take place in the vapours, the main interest is centred in _constant_ densities, which do not vary with _t_, and therefore the possible effect of _t_ on the density must always be kept in mind in having recourse to this means of investigation. ( ) usually, for the sake of convenience of observation, the vapour density is determined at the atmospheric pressure which is read on the barometer; but in the case of substances which are volatilised with difficulty, and also of substances which decompose, or, in general, vary at temperatures near their boiling points, it is best or even indispensable to conduct the determination at low pressures, whilst for substances which decompose at low pressures the observations have to be conducted under a more or less considerably increased pressure. ( ) in many cases it is convenient to determine the vapour density of a substance in admixture with other gases, and consequently under the partial pressure, which may be calculated from the volume of the mixture and that of the intermixed gas (_see_ chapter i., note ). this method is especially important for substances which are easily decomposable, because, as shown by the phenomena of dissociation, a substance is able to remain unchanged in the atmosphere of one of its products of decomposition. thus, wurtz determined the density of phosphoric chloride, pcl_{ }, in admixture with the vapour of phosphorous chloride, pcl_{ }. ( ) it is evident, from the example of nitric peroxide, that a change of pressure may alter the density and aid decomposition, and therefore identical results are sometimes obtained (if the density be variable) by raising _t_ and lowering _h_; but if the density does not vary under these variable conditions (at least, to an extent appreciably exceeding the limits of experimental error), then this _constant_ density indicates the _gaseous_ and _invariable_ state of a substance. the laws hereafter laid down refer only to such vapour densities. but the majority of volatile substances show such a constant density at a certain degree above their boiling points up to the starting point of decomposition. thus, the density of aqueous vapour does not vary for _t_ between the ordinary temperature and ° (there are no trustworthy determinations beyond this) and for pressures varying from fractions of an atmosphere up to several atmospheres. if, however, the density does vary considerably with a variation of _h_ and _t_, the fact may serve as a guide for the investigation of the chemical changes which are undergone by the substance in a state of vapour, or at least as an indication of a deviation from the laws of boyle, mariotte, and gay-lussac (for the expansion of gases with _t_). in certain cases the separation of one form of deviation from the other may be explained by special hypotheses. with respect to the means of determining _p_ and _v_, with a view to finding the vapour density, we may distinguish three chief methods: (_a_) by weight, by ascertaining the weight of a definite volume of vapour; (_b_) by volume, by measuring the volume occupied by the vapour of a definite weight of a substance; and (_c_) by displacement. the last-mentioned is essentially volumetric, because a known weight of a substance is taken, and the volume of the air displaced by the vapour at a given _t_ and _h_ is determined. [illustration: fig. .--apparatus for determining the vapour density by dumas' method. a small quantity of the liquid whose vapour density is to be determined is placed in the glass globe, and heated in a water or oil bath to a temperature above the boiling point of the liquid. when all the liquid has been converted into vapour and has displaced all the air from the globe, the latter is sealed up and weighed. the capacity of the globe is then measured, and in this manner the volume occupied by a known weight of vapour at a known temperature is determined.] [illustration: fig. .--deville and troost's apparatus for determining the vapour densities, according to dumas' method, of substances which boil at high temperatures. a porcelain globe containing the substance whose vapour density is to be determined is heated in the vapour of mercury ( °), sulphur ( °), cadmium ( °), or zinc ( , °). the globe is sealed up in an oxyhydrogen flame.] the method by weight (_a_) is the most trustworthy and historically important. _dumas' method_ is typical. an ordinary spherical glass or porcelain vessel, like those shown respectively in figs. and , is taken, and an excess of the substance to be experimented upon is introduced into it. the vessel is heated to a temperature _t_ higher than the boiling point of the liquid: this gives a vapour which displaces the air, and fills the spherical space. when the air and vapour cease escaping from the sphere, it is fused up or closed by some means; and when cool, the weight of the vapour remaining in the sphere is determined (either by direct weighing of the vessel with the vapour and introducing the necessary corrections for the weight of the air and of the vapour itself, or the weight of the volatilised substance is determined by chemical methods), and the volume of the vapour at _t_ and the barometric pressure _h_ are then calculated. _the volumetric method_ (_b_) originally employed by gay-lussac and then modified by hofmann and others is based on the principle that a weighed quantity of the liquid to be experimented with (placed in a small closed vessel, which is sometimes fused up before weighing, and, if quite full of the liquid, breaks when heated in a vacuum) is introduced into a graduated cylinder heated to _t_, or simply into a torricellian vacuum, as shown in fig. , and the number of volumes occupied by the vapour noted when the space holding it is heated to the desired temperature _t_. [illustration: fig. .--hofmann's apparatus for determining vapour densities. the internal tube, about one metre long, which is calibrated and graduated, is filled with mercury and inverted in a mercury bath. a small bottle (depicted in its natural size on the left) containing a weighed quantity of the liquid whose vapour density is to be determined, is introduced into the torricellian vacuum. steam, or the vapour of amyl alcohol, &c., is passed through the outer tube, and heats the internal tube to the temperature _t_, at which the volume of vapour is measured.] [illustration: fig. .--victor meyer's apparatus for determining vapour densities. the tube _b_ is heated in the vapour of a liquid of constant boiling point. a glass tube, containing the liquid to be experimented upon, is caused to fall from _d_. the air displaced is collected in the cylinder _e_, in the trough _f_.] _the method of displacement_ (_c_) proposed by victor meyer is based on the fact that a space _b_ is heated to a constant temperature _t_ (by the surrounding vapours of a liquid of constant boiling point), and the air (or other gas enclosed in this space) is allowed to attain this temperature, and when it has done so a glass bulb containing a weighed quantity of the substance to be experimented with is dropped into the space. the substance is immediately converted into vapour, and displaces the air into the graduated cylinder _e_. the amount of this air is calculated from its volume, and hence the volume at _t_, and therefore also the volume occupied by the vapour, is found. the general arrangement of the apparatus is given in fig. . such an investigation (either direct, or by calculation from the densities and composition) of every chemical reaction, resulting in the formation of definite chemical compounds, shows that the volumes of the reacting substances in a gaseous or vaporous state are either equal or are in simple multiple proportion.[ ] this forms the _first law_ of those discovered by _gay-lussac_. it may be formulated as follows: _the amounts of substances entering into chemical reaction occupy under similar physical conditions, in a gaseous or vaporous state, equal or simple multiple volumes._ this law refers not only to elements, but also to compounds entering into mutual chemical combination; thus, for example, one volume of ammonia gas combines with one volume of hydrogen chloride. for in the formation of sal-ammoniac, nh_{ }cl, there enter into reaction parts by weight of ammonia, nh_{ }, which is · times denser than hydrogen, and · parts by weight of hydrogen chloride, whose vapour density is · times that of hydrogen, as has been proved by direct experiment. by dividing the weights by the respective densities we find that the volume of ammonia, nh_{ }, is equal to two, and so also the volume of hydrogen chloride. hence the volumes of the compounds which here combine together are equal to each other. taking into consideration that the law of gay-lussac holds good, not only for elements, but also for compounds, it should be expressed as follows: _substances interact with one another in commensurable volumes of their vapours._[ ] [ ] vapours and gases, as already explained in the second chapter, are subject to the same laws, which are, however, only approximate. it is evident that for the deduction of the laws which will presently be enunciated it is only possible to take into consideration a perfect gaseous state (far removed from the liquid state) and chemical invariability in which the _vapour density is constant_--that is, the volume of a given gas or vapour varies like a volume of hydrogen, air, or other gas, with the pressure and temperature. it is necessary to make this statement in order that it may be clearly seen that the laws of gaseous volumes, which we shall describe presently, are in the most intimate connection with the laws of the variations of volumes with pressure and temperature. and as these latter laws (chapter ii.) are not infallible, but only approximately exact, the same, therefore, applies to the laws about to be described. and as it is possible to find more exact laws (a second approximation) for the variation of _v_ with _p_ and _t_ (for example, van der waals' formula, chapter ii., note ), so also a more exact expression of the relation between the composition and the density of vapours and gases is also possible. but to prevent any doubt arising at the very beginning as to the breadth and general application of the laws of volumes, it will be sufficient to mention that the density of such gases as oxygen, nitrogen, and carbonic anhydride is already known to _remain constant_ (within the limits of experimental error) between the ordinary temperature and a white heat; whilst, judging from what is said in my work on the 'tension of gases' (vol. i. p. ), it may be said that, as regards pressure, the relative density remains very constant, even when the deviations from mariotte's law are very considerable. however, in this respect the number of data is as yet too small to arrive at an exact conclusion. [ ] we must recollect that this law is only approximate, like boyle and mariotte's law, and that, therefore, like the latter, a more exact expression may be found for the exceptions. the law of combining volumes and the law of multiple proportion were discovered independently of each other--the one in france by gay-lussac, the other in england by dalton--almost simultaneously. in the language of the atomic hypothesis it may be said that atomic quantities of elements occupy equal or multiple volumes. the first law of gay-lussac expresses the relation between the volumes of the component parts of a compound. let us now consider the relation existing between the volumes of the component parts and of the compounds which proceed from them. this may sometimes be determined by direct observation. thus the volume occupied by water, formed by two volumes of hydrogen and one volume of oxygen, may be determined by the aid of the apparatus shown in fig. . the long glass tube is closed at the top and open at the bottom, which is immersed in a cylinder containing mercury. the closed end is furnished with wires like a eudiometer. the tube is filled with mercury, and then a certain volume of detonating gas is introduced. this gas is obtained from the decomposition of water, and therefore in every three volumes contains two volumes of hydrogen and one volume of oxygen. the tube is surrounded by a second and wider glass tube, and the vapour of a substance boiling above °--that is, whose boiling point is higher than that of water--is passed through the annular space between them. amyl alcohol, whose boiling point is °, may be taken for this purpose. the amyl alcohol is boiled in the vessel to the right hand and its vapour passed between the walls of the two tubes. in the case of amyl alcohol the outer glass tube should be connected with a condenser to prevent the escape into the air of the unpleasant-smelling vapour. the detonating gas is thus heated up to a temperature of °. when its volume becomes constant it is measured, the height of the column of mercury in the tube above the level of the mercury in the cylinder being noted. let this volume equal _v_; it will therefore contain / _v_ of oxygen and / _v_ of hydrogen. the current of vapour is then stopped, and the gas exploded; water is formed, which condenses into a liquid. the volume occupied by the vapour of the water formed has now to be determined. for this purpose the vapour of the amyl alcohol is again passed between the tubes, and thus the whole of the water formed is converted into vapour at the same temperature as that at which the detonating gas was measured; and the cylinder of mercury being raised until the column of mercury in the tube stands at the same height above the surface of the mercury in the cylinder as it did before the explosion, it is found that the volume of the water formed is equal to / _v_--that is, it is equal to the volume of the hydrogen contained in it. consequently the volumetric composition of water is expressed in the following terms: two volumes of hydrogen combine with one volume of oxygen to form two volumes of aqueous vapour. for substances which are gaseous at the ordinary temperature, this direct method of observation is sometimes very easily conducted; for instance, with ammonia, nitric and nitrous oxides. thus to determine the composition by volume of nitrous oxide, the above-described apparatus may be employed. nitrous oxide is introduced into the tube, and after measuring its volume electric sparks are passed through the gas; it is then found that two volumes of nitrous oxide have given three volumes of gases--namely, two volumes of nitrogen and one volume of oxygen. consequently the composition of nitrous oxide is similar to that of water; two volumes of nitrogen and one volume of oxygen give two volumes of nitrous oxide. by decomposing ammonia it is found to be composed in such a manner that two volumes give one volume of nitrogen and three volumes of hydrogen; also two volumes of nitric oxide are formed by the union of one volume of oxygen with one volume of nitrogen. the same relations may be proved by calculation from the vapour densities, as was described above. [illustration: fig. .--apparatus for demonstrating the volume occupied by the steam formed from the explosion of detonating gas.] comparisons of various results made by the aid of direct observations or calculation, an example of which has just been cited, led gay-lussac to the conclusion that _the volume of a compound in a gaseous or vaporous state is always in simple multiple proportion to the volume of each of the component parts of which it is formed_ (and consequently to the sum of the volumes of the elements of which it is formed). this is the _second law of gay-lussac_; it extends the simplicity of the volumetric relations to compounds, and is of the same nature as that presented by the elements entering into mutual combination. hence not only the substances forming a given compound, but also the substances formed, exhibit a simple relation of volume when measured as vapour or gas.[ ] [ ] this second law of volumes may be considered as a consequence of the first law. the first law requires simple ratios between the volumes of the combining substances _a_ and _b_. a substance _ab_ is produced by their combination. it may, according to the law of multiple proportion, combine, not only with substances _c_, _d_, &c., but also with _a_ and with _b_. in this new combination the volume of _ab_, combining with the volume of _a_, should be in simple multiple proportion with the volume of _a_; hence the volume of the compound _ab_ is in simple proportion to the volume of its component parts. therefore only one law of volumes need be accepted. we shall afterwards see that there is a third law of volumes embracing also the two first laws. when a compound is formed from two or more components, there may or may not be a contraction; the volume of the reacting substances is in this case either equal to or greater than the volume of the resultant compound. the reverse is naturally observed in the case of decompositions, when from one substance there are produced several of simpler nature. therefore in the future we shall term _combination_ a reaction in which a contraction is observed--that is, a diminution in the volume of the component bodies in a state of vapour or gas; and we shall term _decomposition_ a reaction in which an expansion is produced; while those reactions in which the volumes in a gaseous or vaporous state remain constant (the volumes being naturally compared at the same temperature and pressure) we shall term reactions of _substitution_ or of double decomposition. thus the transition of oxygen into ozone is a reaction of combination, the formation of nitrous oxide from oxygen and nitrogen will also be a combination, the formation of nitric oxide from the same will be a reaction of substitution, the action of oxygen on nitric oxide a combination, and so on. the degree of contraction produced in the formation of chemical compounds not unfrequently leads to the possibility of distinguishing the degree of change which takes place in the chemical character of the components when combined. in those cases in which a contraction occurs, the properties of the resultant compound are very different from the properties of the substances of which it is composed. thus ammonia bears no resemblance in its physical or chemical properties to the elements from which it is derived; a contraction takes place in a state of vapour, indicating a proximation of the elements--the distance between the atoms is diminished, and from gaseous substances there is formed a liquid substance, or at any rate one which is easily liquefied. for this reason nitrous oxide formed by the condensation of two permanent gases is a substance which is somewhat easily converted into a liquid; again, nitric acid, which is formed from elements which are permanent gases, is a liquid, whilst, on the contrary, nitric oxide, which is formed without contraction and is decomposed without expansion, remains a gas which is as difficult to liquefy as nitrogen and oxygen. in order to obtain a still more complete idea of the dependence of the properties of a compound on the properties of the component substances, it is further necessary to know the quantity of heat which is developed in the formation of the compound. if this quantity be large--as, for example, in the formation of water--then the amount of energy in the resultant compound will be considerably less than the energy of the elements entering into its composition; whilst, on the contrary, if the amount of heat evolved in the formation of a compound be small, or if there even be an absorption of heat, as in the formation of nitrous oxide, then the energy of the elements is not destroyed, or is only altered to a slight extent; hence, notwithstanding the contraction (compression) involved in its formation, nitrous oxide supports combustion. the preceding laws were deduced from purely experimental and empirical data and as such evoke further consequences, as the law of multiple proportions gave rise to the atomic theory and the law of equivalents (chapter iv.) in view of the atomic conception of the constitution of substances, the question naturally arises as to what, then, are the relative volumes proper to those physically indivisible molecules which chemically react on each other and consist of the atoms of elements. the simplest possible hypothesis in this respect would be that the volumes of the molecules of substances are equal; or, what is the same thing, to suppose that equal volumes of vapours and gases contain an equal number of molecules. this proposition was first enunciated by the italian savant _avogadro_ in . it was also admitted by the french physico-mathematician _ampère_ ( ) for the sake of simplifying all kinds of physico-mathematical conceptions respecting gases. but avogadro and ampère's propositions were not generally received in science until gerhardt in the forties had applied them to the generalisation of chemical reactions, and had demonstrated, by aid of a series of phenomena, that the reactions of substances actually take place with the greatest simplicity, and more especially that such reactions take place between those quantities of substances which occupy equal volumes, and until he had stated the hypothesis in an exact manner and deduced the consequences that necessarily follow from it. following gerhardt, clausius, in the fifties, placed this hypothesis of the equality of the number of molecules in equal volumes of gases and vapours on the basis of the kinetic theory of gases. at the present day the hypothesis of avogadro and gerhardt lies at the basis of contemporary physical, mechanical, and chemical conceptions; the consequences arising from it have often been subject to doubt, but in the end have been verified by the most diverse methods; and now, when all efforts to refute those consequences have proved fruitless, the hypothesis must be considered as verified,[ ] and the _law of avogadro-gerhardt_ must be spoken of as fundamental, and as of great importance for the comprehension of the phenomena of nature. the law may now be formulated from two points of view. in the first place, from a physical aspect: _equal volumes of gases_ (or vapours) at equal temperatures and pressures _contain the same number of molecules_--or of particles of matter which are neither mechanically nor physically divisible--previous to chemical change. in the second place, from a chemical aspect, the same law may be expressed thus: _the quantities of substances entering into chemical reactions occupy, in a state of vapour, equal volumes_. for our purpose the chemical aspect is the most important, and therefore, before developing the law and its consequences, we will consider the chemical phenomena from which the law is deduced or which it serves to explain. [ ] it must not be forgotten that newton's law of gravity was first a hypothesis, but it became a trustworthy, perfect theory, and acquired the qualities of a fundamental law owing to the concord between its deductions and actual facts. all laws, all theories, of natural phenomena, are at first hypotheses. some are rapidly established by their consequences exactly agreeing with facts; others only take root by slow degrees; and there are many which are destined to be refuted owing to their consequences being found to be at variance with facts. when two isolated substances interact with each other directly and easily--as, for instance, an alkali and an acid--then it is found that the reaction is accomplished between quantities which in a gaseous state occupy equal volumes. thus ammonia, nh_{ }, reacts directly with hydrochloric acid, hcl, forming sal-ammoniac, nh_{ }cl, and in this case the parts by weight of ammonia occupy the same volume as the · parts by weight of hydrochloric acid.[ ] ethylene, c_{ }h_{ }, combines with chlorine, cl_{ }, in only one proportion, forming ethylene dichloride, c_{ }h_{ }cl_{ }, and this combination proceeds directly and with great facility, the reacting quantities occupying equal volumes. chlorine reacts with hydrogen in only one proportion, forming hydrochloric acid, hcl, and in this case equal volumes interact with each other. if an equality of volumes is observed in cases of combination, it should be even more frequently encountered in cases of decomposition, taking place in substances which split up into two others. indeed, acetic acid breaks up into marsh gas, ch_{ }, and carbonic anhydride, co_{ }, and in the proportions in which they are formed from acetic acid they occupy equal volumes. also from phthalic acid, c_{ }h_{ }o_{ }, there may be obtained benzoic acid, c_{ }h_{ }o_{ }, and carbonic anhydride, co_{ }, and as all the elements of phthalic acid enter into the composition of these substances, it follows that, although they cannot re-form it by their direct action on each other (the reaction is not reversible), still they form the direct products of its decomposition, and they occupy equal volumes. but benzoic acid, c_{ }h_{ }o_{ }, is itself composed of benzene, c_{ }h_{ }, and carbonic anhydride, co_{ }, which also occupy equal volumes.[ ] there is an immense number of similar examples among those organic substances to whose study gerhardt consecrated his whole life and work, and he did not allow such facts as these to escape his attention. still more frequently in the phenomena of substitution, when two substances react on one another, and two are produced without a change of volume, it is found that the two substances acting on each other occupy equal volumes as well as each of the two resultant substances. thus, in general, reactions of substitution take place between volatile acids, hx, and volatile alcohols, r(oh), with the formation of ethereal salts, rx, and water, h(oh), and the volume of the vapour of the reacting quantities, hx, r(oh), and rx, is the same as that of water h(oh), whose weight, corresponding with the formula, , occupies volumes, if part by weight of hydrogen occupy volume and the density of aqueous vapour referred to hydrogen is . such general examples, of which there are many,[ ] show that the reaction of equal volumes forms a chemical phenomenon of frequent occurrence, indicating the necessity for acknowledging the law of avogadro-gerhardt. [ ] this is not only seen from the above calculations, but may be proved by experiment. a glass tube, divided in the middle by a stopcock, is taken and one portion filled with _dry_ hydrogen chloride (the dryness of the gases is very necessary, because ammonia and hydrogen chloride are both very soluble in water, so that a small trace of water may contain a large amount of these gases in solution) and the other with dry ammonia, under the atmospheric pressure. one orifice (for instance, of that portion which contains the ammonia) is firmly closed, and the other is immersed under mercury, and the cock is then opened. solid sal-ammoniac is formed, but if the volume of one gas be greater than that of the other, some of the first gas will remain. by immersing the tube in the mercury in order that the internal pressure shall equal the atmospheric pressure, it may easily be shown that the volume of the remaining gas is equal to the difference between the volumes of the two portions of the tube, and that this remaining gas is part of that whose volume was the greater. [ ] let us demonstrate this by figures. from grams of benzoic acid there are obtained (_a_) grams of benzene, whose density referred to hydrogen = , hence the relative volume = ; and (_b_) grams of carbonic anhydride, whose density = , and hence the volume = . it is the same in other cases. [ ] a large number of such generalised reactions, showing reaction by equal volumes, occur in the case of the hydrocarbon derivatives, because many of these compounds are volatile. the reactions of alkalis on acids, or anhydrides on water, &c., which are so frequent between mineral substances, present but few such examples, because many of these substances are not volatile and their vapour densities are unknown. but essentially the same is seen in these cases also; for instance, sulphuric acid, h_{ }so_{ }, breaks up into the anhydride, so_{ }, and water, h_{ }o, which exhibit an equality of volumes. let us take another example where three substances combine in equal volumes: carbonic anhydride, co_{ }, ammonia, nh_{ }, and water, h_{ }o (the volumes of all are equal to ), form acid ammonium carbonate, (nh_{ })hco_{ }. but the question arises, what is the relation of volumes if the reaction of two substances takes place in more than one proportion, according to the law of multiple proportions? a definite answer can only be given in cases which have been very thoroughly studied. thus chlorine, in acting on marsh gas, ch_{ }, forms four compounds, ch_{ }cl, ch_{ }cl_{ }, chcl_{ }, and ccl_{ }, and it may be established by direct experiment that the substance ch_{ }cl (methylic chloride) precedes the remainder, and that the latter proceed from it by the further action of chlorine. and this substance, ch_{ }cl, is formed by the reaction of equal volumes of marsh gas, ch_{ }, and chlorine, cl_{ }, according to the equation ch_{ } + cl_{ } = ch_{ }cl + hcl. a great number of similar cases are met with amongst organic--that is, carbon--compounds. gerhardt was led to the discovery of his law by investigating many such reactions, and by observing that in them the reaction of equal volumes precedes all others. but if nitrogen or hydrogen give several compounds with oxygen, the question proposed above cannot be answered with complete clearness, because the successive formations of the different combinations cannot be so strictly defined. it may be supposed, but neither definitely affirmed nor experimentally confirmed, that nitrogen and oxygen first give nitric oxide, no, and only subsequently the brown vapours n_{ }o_{ } and no_{ }. such a sequence in the combination of nitrogen with oxygen can only be supposed on the basis of the fact that no forms n_{ }o_{ } and no_{ } directly with oxygen. if it be admitted that no (and not n_{ }o or no_{ }) be first formed, then this instance would also confirm the law of avogadro-gerhardt, because nitric oxide contains equal volumes of nitrogen and oxygen. so, also, it may be admitted that, in the combination of hydrogen with oxygen, hydrogen peroxide is first formed (equal volumes of hydrogen and oxygen), which is decomposed by the heat evolved into water and oxygen. this explains the presence of traces of hydrogen peroxide (chapter iv.) in almost all cases of the combustion or oxidation of hydrogenous substances; for it cannot be supposed that water is first formed and then the peroxide of hydrogen, because up to now such a reaction has not been observed, whilst the formation of h_{ }o from h_{ }o_{ } is very easily reproduced.[ ] [ ] this opinion which i have always held (since the first editions of this work), as to the primary origin of hydrogen peroxide and of the formation of water by means of its decomposition, has in latter days become more generally accepted, thanks more especially to the work of traube. probably it explains most simply the necessity for the presence of traces of water in many reactions, as, for instance, in the explosion of carbonic oxide with oxygen, and perhaps the theory of the explosion of detonating gas itself and of the combustion of hydrogen will gain in clearness and truth if we take into consideration the preliminary formation of hydrogen peroxide and its decomposition. we may here point out the fact that ettingen (at dorpat, ) observed the existence of currents and waves in the explosion of detonating gas by taking photographs, which showed the periods of combustion and the waves of explosion, which should be taken into consideration in the theory of this subject. as the formation of h_{ }o_{ } from o_{ } and h_{ } corresponds with a less amount of heat than the formation of water from h_{ } and o, it may be that the temperature of the flame of detonating gas depends on the pre-formation of hydrogen peroxide. thus a whole series of phenomena show that the chemical reaction of substances actually takes place, as a rule, between equal volumes, but this does not preclude the possibility of the frequent reaction of unequal volumes, although, in this case, it is often possible to discover a preceding reaction between equal volumes.[ ] [ ] the possibility of reactions between unequal volumes, notwithstanding the general application of the law of avogadro-gerhardt, may, in addition to what has been said above, depend on the fact that the participating substances, at the moment of reaction, undergo a preliminary modification, decomposition, isomeric (polymeric) transformation, &c. thus, if no_{ }, seems to proceed from n_{ }o_{ }, if o_{ } is formed from o_{ }, and the converse, then it cannot be denied that the production of molecules containing only one atom is also possible--for instance, of oxygen--as also of higher polymeric forms--as the molecule n from n_{ }, or h_{ } from h_{ }. in this manner it is obviously possible, by means of a series of hypotheses, to explain the cases of the formation of ammonia, nh_{ }, from vols. of hydrogen and vol. of nitrogen. but it must be observed that perhaps our information in similar instances is, as yet, far from being complete. if hydrazine or diamide n_{ }h_{ } (chapter vi. note bis) is formed and the imide n_{ }h_{ } in which vols. of hydrogen are combined with vols. of nitrogen, then the reaction here perhaps first takes place between equal volumes. if it be shown that diamide gives nitrogen and ammonia ( n_{ }h_{ } = n_{ } + nh_{ }) under the action of sparks, heat, or the silent discharge, &c., then it will be possible to admit that it is formed before ammonia. and perhaps the still less stable imide n_{ }h_{ }, which may also decompose with the formation of ammonia, is produced before the amide n_{ }h_{ }. i mention this to show that the fact of apparent exceptions existing to the law of reactions between equal volumes does not prove the impossibility of their being included under the law on further study of the subject. having put forward a certain law or hypothesis, consequences must be deduced from it, and if by their means clearness and consistency are attained--and especially, if by their means that which could not otherwise be known can be predicted--then the consequences verify the hypothesis. this was the case with the law now under discussion. the mere simplicity of the deduction of the weights proper to the atoms of the elements, or the mere fact that having admitted the law it follows (as will afterwards be shown) that the _vis viva_ of the molecules of all gases is a constant quantity, is quite sufficient reason for retaining the hypothesis, if not for believing in it as a fact beyond doubt. and such is the whole doctrine of atoms. and since by the acceptance of the law it became possible to foretell even the properties and atomic weights of elements which had not yet been discovered, and these predictions afterwards proved to be in agreement with the actual facts, it is evident that the law of avogadro-gerhardt penetrates deeply into the nature of the chemical relation of substances. this being granted, it is possible at the present time to exhibit and deduce the truth under consideration in many ways, and in every case, like all that is highest in science (for example, the laws of the indestructibility of matter, of the conservation of energy, of gravity, &c.), it proves to be not an empirical conclusion from direct observation and experiment, not a direct result of analysis, but a creation, or instinctive penetration, of the inquiring mind, guided and directed by experiment and observation--a synthesis of which the exact sciences are capable equally with the highest forms of art. without such a synthetical process of reasoning, science would only be a mass of disconnected results of arduous labour, and would not be distinguished by that vitality with which it is really endowed when once it succeeds in attaining a synthesis, or concordance of outward form with the inner nature of things, without losing sight of the diversities of individual parts; in short, when it discovers by means of outward phenomena, which are apparent to the sense of touch, to observation, and to the common mind, the internal signification of things--discovering simplicity in complexity and uniformity in diversity. and this is the highest problem of science. the law of avogadro-gerhardt may also be easily expressed in an algebraical form. if the weight of a molecule, or of that quantity of a substance which enters into chemical reaction and occupies in a state of vapour, according to the law, a volume equal to that occupied by the molecules of other bodies, be indicated by the letters m_{ }, m_{ } ... or, in general, m, and if the letters d_{ }, d_{ }, ... or, in general, d, stand for the density or weight of a given volume of the gases or vapours of the corresponding substances under certain definite conditions of temperature and pressure, then the law requires that m_{ }/d_{ } = m_{ }/d_{ } ... = m/d = c where c is a certain constant. this expression shows directly that the volumes corresponding with the weights m_{ }, m_{ } ... m, are equal to a certain constant, because the volume is proportional to the weight and inversely proportional to the density. the magnitude of c is naturally conditioned by and dependent on the units taken for the expression of the weights of the molecules and the densities. the weight of a molecule (equal to the sum of the atomic weights of the elements forming it) is usually expressed by taking the weight of an atom of hydrogen as unity, and hydrogen is now also chosen as the unit for the expression of the densities of gases and vapours; it is therefore only necessary to find the magnitude of the constant for any one compound, as it will be the same for all others. let us take water. its reacting mass is expressed (conditionally and relatively) by the formula or molecule h_{ }o, for which m = , if h = , as we already know from the composition of water. its vapour density, or d, compared to hydrogen = , and consequently for water c = , and therefore and in general for the molecules of all substances m/d = . consequently the weight of a molecule is equal to twice its vapour density expressed in relation to hydrogen, and conversely _the density of a gas is equal to half the molecular weight referred to hydrogen_. the truth of this may be seen from a very large number of observed vapour densities by comparing them with the results obtained by calculation. as an illustration, we may point out that for ammonia, nh_{ }, the weight of the molecule or quantity of the reacting substance, as well as the composition and weight corresponding with the formula, is expressed by the figures + = . consequently m = . hence, according to the law, d = · . and this result is also obtained by experiment. the density, according to both formula and experiment, of nitrous oxide, n_{ }o, is , of nitric acid , and of nitric peroxide . in the case of nitrous anhydride, n_{ }o_{ }, as a substance which dissociates into no + no_{ }, the density should vary between (so long as the n_{ }o_{ } remains unchanged) and (when no + no_{ } is obtained). there are no figures of constant density for h_{ }o_{ }, nho_{ }, n_{ }o_{ }, and many similar compounds which are either wholly or partially decomposed in passing into vapour. salts and similar substances either have no vapour density because they do not pass into vapour (for instance, potassium nitrate, kno_{ }) without decomposition, or, if they pass into vapour without decomposing, their vapour density is observed with difficulty only at very high temperatures. the practical determination of the vapour density at these high temperatures (for example, for sodium chloride, ferrous chloride, stannous chloride, &c.) requires special methods which have been worked out by sainte-claire deville, crafts, nilson and pettersson, meyer, scott, and others. having overcome the difficulties of experiment, it is found that the law of avogadro-gerhardt holds good for such salts as potassium iodide, beryllium chloride, aluminium chloride, ferrous chloride, &c.--that is, the density obtained by experiment proves to be equal to half the molecular weight--naturally within the limits of experimental error or of possible deviation from the law. gerhardt deduced his law from a great number of examples of volatile carbon compounds. we shall become acquainted with certain of them in the following chapters; their entire study, from the complexity of the subject, and from long-established custom, forms the subject of a special branch of chemistry termed 'organic' chemistry. with all these substances the observed and calculated densities are very similar. when the consequences of a law are verified by a great number of observations, it should be considered as confirmed by experiment. but this does not exclude the possibility of _apparent_ deviations. they may evidently be of two kinds: the fraction m/d may be found to be either greater or less than --that is, the calculated density may be either greater or less than the observed density. when the difference between the results of experiment and calculation falls within the possible errors of experiment (for example, equal to hundredths of the density), or within a possible error owing to the laws of gases having an only approximate application (as is seen from the deviations, for instance, from the law of boyle and mariotte), then the fraction m/d proves but slightly different from (between · and · ), and such cases as these may be classed among those which ought to be expected from the nature of the subject. it is a different matter if the quotient of m/d be several times, and in general a multiple, _greater_ or less than . the application of the law must then be explained or it must be laid aside, because the laws of nature admit of no exceptions. we will therefore take two such cases, and first one in which the _quotient_ m/d _is greater than , or the density obtained by experiment is less than is in accordance with the law_. it must be admitted, as a consequence of the law of avogadro-gerhardt, that there is a decomposition in those cases where the volume of the vapour corresponding with the weight of the amount of a substance entering into reaction is greater than the volume of two parts by weight of hydrogen. suppose the density of the vapour of water to be determined at a temperature above that at which it is decomposed, then, if not all, at any rate a large proportion of the water will be decomposed into hydrogen and oxygen. the density of such a mixture of gases, or of detonating gas, will be less than that of aqueous vapour; it will be equal to (compared with hydrogen), because volume of oxygen weighs , and volumes of hydrogen ; and, consequently, volumes of detonating gas weigh and volume , while the density of aqueous vapour = . hence, if the density of aqueous vapour be determined after its decomposition, the quotient m/d would be found to be and not . this phenomenon might be considered as a deviation from gerhardt's law, but this would not be correct, because it may be shown by means of diffusion through porous substances, as described in chapter ii., that water is decomposed at such high temperatures. in the case of water itself there can naturally be no doubt, because its vapour density agrees with the law at all temperatures at which it has been determined.[ ] but there are many substances which decompose with great ease directly they are volatilised, and therefore only exist as solids or liquids, and not in a state of vapour. there are, for example, many salts of this kind, besides all definite solutions having a constant boiling point, all the compounds of ammonia for example, all ammonium salts--&c. their vapour densities, determined by bineau, deville, and others, show that they do not agree with gerhardt's law. thus the vapour density of sal-ammoniac, nh_{ }cl, is nearly (compared with hydrogen), whilst its molecular weight is not less than · , whence the vapour density should be nearly , according to the law. the molecule of sal-ammoniac cannot be less than nh_{ }cl, because it is formed from the molecules nh_{ } and hcl, and contains single atoms of nitrogen and chlorine, and therefore cannot be divided; it further never enters into reactions with the molecules of other substances (for instance, potassium hydroxide, or nitric acid) in quantities of less than · parts by weight, &c. the calculated density (about ) is here double the observed density (about · ); hence m/d = and not . for this reason the vapour density of sal-ammoniac for a long time served as an argument for doubting the truth of the law. but it proved otherwise, after the matter had been fully investigated. the low density depends on the decomposition of sal-ammoniac, on volatilising, into ammonia and hydrogen chloride. the observed density is not that of sal-ammoniac, but of a mixture of nh_{ } and hcl, which should be nearly , because the density of nh_{ } = · and of hcl = · , and therefore the density of their mixture (in equal volumes) should be about · .[ ] the actual decomposition of the vapours of sal-ammoniac was demonstrated by pebal and than by the same method as the decomposition of water, by passing the vapour of sal-ammoniac through a porous substance. the experiment demonstrating the decomposition during volatilisation of sal-ammoniac may be made very easily, and is a very instructive point in the history of the law of avogadro-gerhardt, because without its aid it would never have been imagined that sal-ammoniac decomposed in volatilising, as this decomposition bears all the signs of simple sublimation; consequently the knowledge of the decomposition itself was forestalled by the law. the whole aim and practical use of the discovery of the laws of nature consists in, and is shown by, the fact that they enable the unknown to be foretold, the unobserved to be foreseen. the arrangement of the experiment is based on the following reasoning.[ ] according to the law and to experiment, the density of ammonia, nh_{ }, is - / , and of hydrochloric acid, hcl, - / , if the density of hydrogen = . consequently, in a mixture of nh_{ } and hcl, the ammonia will penetrate much more rapidly through a porous mass, or a fine orifice, than the heavier hydrochloric acid, just as in a former experiment the hydrogen penetrated more rapidly than the oxygen. therefore, if the vapour of sal-ammoniac comes into contact with a porous mass, the ammonia will pass through it in greater quantities than the hydrochloric acid, and this excess of ammonia may be detected by means of moist red litmus paper, which should be turned blue. if the vapour of sal-ammoniac were not decomposed, it would pass through the porous mass as a whole, and the colour of the litmus paper would not be altered, because sal-ammoniac is a neutral salt. thus, by testing with litmus the substances passing through the porous mass, it may be decided whether the sal-ammoniac is decomposed or not when passing into vapour. sal-ammoniac volatilises at so moderate a temperature that the experiment may be conducted in a glass tube heated by means of a lamp, an asbestos plug being placed near the centre of the tube.[ ] the asbestos forms a porous mass, which is unaltered at a high temperature. a piece of dry sal-ammoniac is placed at one side of the asbestos plug, and is heated by a bunsen burner. the vapours formed are driven by a current of air forced from a gasometer or bag through two tubes containing pieces of moist litmus paper, one blue and one red paper in each. if the sal-ammoniac be heated, then the ammonia appears on the opposite side of the asbestos plug, and the litmus there turns blue. and as an excess of hydrochloric acid remains on the side where the sal-ammoniac is heated, it turns the litmus at that end red. this proves that the sal-ammoniac, when converted into vapour, splits up into ammonia and hydrochloric acid, and at the same time gives an instance of the possibility of correctly conjecturing a fact on the basis of the law of avogadro-gerhardt.[ bis] [ ] as the density of aqueous vapour remains constant within the limits of experimental accuracy, even at , °, when dissociation has certainly commenced, it would appear that only a very small amount of water is decomposed at these temperatures. if even p.c. of water were decomposed, the density would be · and the quotient m/d = · , but at the high temperatures here concerned the error of experiment is not greater than the difference between this quantity and . and probably at , ° the dissociation is far from being equal to p.c. _hence the variation in the vapour density of water does not give us the means of ascertaining the amount of its dissociation._ [ ] this explanation of the vapour density of sal-ammoniac, sulphuric acid, and similar substances which decompose in being distilled was the most natural to resort to as soon as the application of the law of avogadro-gerhardt to chemical relations was begun; it was, for instance, given in my work on _specific volumes_, , p. . the formula, m/d = , which was applied later by many other investigators, had already been made use of in that work. [ ] the beginner must remember that an experiment and the mode in which it is carried out must be determined by the principle or fact which it is intended to illustrate, and not _vice versa_, as some suppose. the idea which determines the necessity of an experiment is the chief consideration. [ ] it is important that the tubes, asbestos, and sal-ammoniac should be dry, as otherwise the moisture retains the ammonia and hydrogen chloride. [ bis] baker ( ) showed that the decomposition of nh_{ }cl in the act of volatilising only takes place in the presence of water, traces of which are amply sufficient, but that in the total absence of moisture (attained by carefully drying with p_{ }o_{ }) there is no decomposition, and the vapour density of the sal-ammoniac is found to be normal, _i.e._, nearly . it is not yet quite clear what part the trace of moisture plays here, and it must be presumed that the phenomenon belongs to the category of electrical and contact phenomena, which have not yet been fully explained (_see_ chapter ix., note ). so also the fact of a decomposition may be proved in the other instances where m/d proved greater than , and hence the apparent deviations appear in reality as an excellent proof of the general application and significance of the law of avogadro-gerhardt. in those cases where the _quotient_ m/d proves to be _less_ than , or the observed density _greater_ than that calculated, by a multiple number of times, the matter is evidently more simple, and the fact observed only indicates that the weight of the molecule is as many times greater as that taken as the quotient obtained is less than . so, for instance, in the case of ethylene, whose composition is expressed by ch_{ }, the density was found by experiment to be , and in the case of amylene, whose composition is also ch_{ }, the density proved to be , and consequently the quotient for ethylene = , and for amylene = / . if the molecular weight of ethylene be taken, not as , as might be imagined from its composition, but as twice as great--namely, as --and for amylene as five times greater--that is as --then the molecular composition of the first will be c_{ }h_{ }, and of the second c_{ }h_{ }, and for both of them m/d will be equal to . this application of the law, which at first sight may appear perfectly arbitrary, is nevertheless strictly correct, because the amount of ethylene which reacts--for example, with sulphuric and other acids--is not equal to , but to parts by weight. thus with h_{ }so_{ }, br_{ }, or hi, &c., ethylene combines in a quantity c_{ }h_{ }, and amylene in a quantity c_{ }h_{ }, and not ch_{ }. on the other hand, ethylene is a gas which liquefies with difficulty (absolute boiling point = + °), whilst amylene is a liquid boiling at ° (absolute boiling point = + °), and by admitting the greater density of the molecules of amylene (m = ) its difference from the lighter molecules of ethylene (m = ) becomes clear. thus, the smaller quotient m/d is _an indication of polymerisation_, as the larger quotient is of decomposition. the difference between the densities of oxygen and ozone is a case in point. on turning to the elements, it is found in certain cases, especially with metals--for instance, mercury, zinc, and cadmium--that that weight of the atoms which must be acknowledged in their compounds (of which mention will be afterwards made) appears to be also the molecular weight. thus, the atomic weight of mercury must be taken as = , but the vapour density = , and the quotient = . consequently the _molecule of mercury contains one atom_, hg. it is the same with sodium, cadmium, and zinc. this is the simplest possible molecule, which necessarily is only possible in the case of elements, as the molecule of a compound must contain at least two atoms. however, the molecules of many of the elements prove to be complex--for instance, the weight of an atom of oxygen = , and its density = , so that its molecule must contain two atoms, o_{ }, which might already be concluded by comparing its density with that of ozone, whose molecule contains o_{ } (chapter iv.) so also the molecule of hydrogen equals h_{ }, of chlorine cl_{ }, of nitrogen n_{ }, &c. if chlorine react with hydrogen, the volume remains unaltered after the formation of hydrochloric acid, h_{ } + cl_{ } = hcl + hcl. it is a case of substitution between the one and the other, and therefore the volumes remain constant. there are elements whose molecules are much more complex--for instance, sulphur, s_{ }--although, by heating, the density is reduced to a third, and s_{ } is formed. judging from the vapour density of phosphorus (d = ) the molecule contains four atoms p_{ }. hence many elements when polymerised appear in molecules which are more complex than the simplest possible. in carbon, as we shall afterwards find, a very complex molecule must be admitted, as otherwise its non-volatility and other properties cannot be understood. and if compounds are decomposed by a more or less powerful heat, and if polymeric substances are depolymerised (that is, the weight of the molecule diminishes) by a rise of temperature, as n_{ }o_{ } passes into no_{ }, or ozone, o_{ }, into ordinary oxygen, o_{ }, then we might expect to find the splitting-up of the complex molecules of elements into the simplest molecule containing a single atom only--that is to say, if o_{ } be obtained from o_{ }, then the formation of o might also be looked for. the possibility but not proof of such a proposition is indicated by the vapour of iodine. its normal density = (dumas, deville, and others), which corresponds with the molecule i_{ }. at temperatures above ° (up to which the density remains almost constant), this density distinctly decreases, as is seen from the verified results obtained by victor meyer, crafts, and troost. at the ordinary pressure and , ° it is about , at , ° about , at , ° about , and apparently it strives to reduce itself to one-half--that is, to . under a reduced pressure this splitting-up, or depolymerisation, of iodine vapour actually reaches a density[ ] of , as crafts demonstrated by reducing the pressure to mm. and raising the temperature to , °. from this it may be concluded that at high temperatures and low pressures the molecule i_{ } gradually passes into the molecule i containing one atom like mercury, and that something similar occurs with other elements at a considerable rise of temperature, which tends to bring about the disunion of compounds and the decomposition of complex molecules.[ ] [ ] just as we saw (chapter vi. note ) an increase of the dissociation of n_{ }o_{ } and the formation of a large proportion of no_{ }, with a decrease of pressure. the decomposition of i_{ } into i + i is a similar dissociation. [ ] although at first there appeared to be a similar phenomenon in the case of chlorine, it was afterwards proved that if there is a decrease of density it is only a small one. in the case of bromine it is not much greater, and is far from being equal to that for iodine. as in general we very often involuntarily confuse chemical processes with physical, it may be that a physical process of change in the coefficient of expansion with a change of temperature participates with a change in molecular weight, and partially, if not wholly, accounts for the decrease of the density of chlorine, bromine, and iodine. thus, i have remarked (comptes rendus, ) that the coefficient of expansion of gases increases with their molecular weight, and (chapter ii., note ) the results of direct experiment show the coefficient of expansion of hydrobromic acid (m = ) to be · instead of · , which is that of hydrogen (m = ). hence, in the case of the vapour of iodine (m = ) a very large coefficient of expansion is to be expected, and from this cause alone the relative density would fall. as the molecule of chlorine cl_{ } is lighter (= ) than that of bromine (= ), which is lighter than that of iodine (= ), we see that the order in which the decomposability of the vapours of these haloids is observed corresponds with the expected rise in the coefficient of expansion. taking the coefficient of expansion of iodine vapour as · , then at , ° its density would be . therefore the dissociation of iodine may be only an apparent phenomenon. however, on the other hand, the heavy vapour of mercury (m = , d = ) scarcely decreases in density at a temperature of , ° (d = , according to victor meyer); but it must not be forgotten that the molecule of mercury contains only one atom, whilst that of iodine contains two, and this is very important. questions of this kind which are difficult to decide by experimental methods must long remain without a certain explanation, owing to the difficulty, and sometimes impossibility, of distinguishing between physical and chemical changes. besides these cases of apparent discrepancy from the law of avogadro-gerhardt there is yet a third, which is the last, and is very instructive. in the investigation of separate substances they have to be isolated in the purest possible form, and their chemical and physical properties, and among them the vapour density, then determined. if it be normal--that is, if d = m/ --it often serves as a proof of the purity of the substance, _i.e._ of its freedom from all foreign matter. if it be abnormal--that is, if d be not equal to m/ --then for those who do not believe in the law it appears as a new argument against it and nothing more; but to those who have already grasped the important significance of the law it becomes clear that there is some error in the observation, or that the density was determined under conditions in which the vapour does not follow the laws of boyle or gay-lussac, or else that the substance has not been sufficiently purified, and contains other substances. the law of avogadro-gerhardt in that case furnishes convincing evidence of the necessity of a fresh and more exact research. and as yet the causes of error have always been found. there are not a few examples in point in the recent history of chemistry. we will cite one instance. in the case of pyrosulphuryl chloride, s_{ }o_{ }cl_{ }, m = , and consequently d should = · , instead of which ogier and others obtained · --that is, a density half as great; and further, ogier ( ) demonstrated clearly that the substance is not dissociated by distillation into so_{ } and so_{ }cl_{ }, or any other two products, and thus the abnormal density of s_{ }o_{ }cl_{ } remained unexplained until d. p. konovaloff ( ) showed that the previous investigators were working with a mixture (containing so_{ }hcl), and that pyrosulphuryl chloride has a normal density of approximately . had not the law of avogadro-gerhardt served as a guide, the impure liquid would have still passed as pure; the more so since the determination of the amount of chlorine could not aid in the discovery of the impurity. thus, by following a true law of nature we are led to true deductions. all cases which have been studied confirm the law of avogadro-gerhardt, and as by it a deduction is obtained, from the determination of the vapour density (a purely physical property), as to the weight of the molecule or quantity of a substance entering into chemical reaction, this law links together the two provinces of learning--physics and chemistry--in the most intimate manner. besides which, the law of avogadro-gerhardt places the conceptions of _molecules_ and _atoms_ on a firm foundation, which was previously wanting. although since the days of dalton it had become evident that it was necessary to admit the existence of the elementary atom (the chemical individual indivisible by chemical or other forces), and of the groups of atoms (or molecules) of compounds, indivisible by mechanical and physical forces; still the relative magnitude of the molecule and atom was not defined with sufficient clearness. thus, for instance, the atomic weight of oxygen might be taken as or , or any multiple of these numbers, and nothing indicated a reason for the acceptation of one rather than another of these magnitudes;[ ] whilst as regards the weights of the molecules of elements and compounds there was no trustworthy knowledge whatever. with the establishment of gerhardt's law the idea of the molecule was fully defined, as well as the relative magnitude of the elementary atom. [ ] and so it was in the fifties. some took o = , others o = . water in the first case would be ho and hydrogen peroxide ho_{ }, and in the second case, as is now generally accepted, water h_{ }o and hydrogen peroxide h_{ }o_{ } or ho. disagreement and confusion reigned. in the chemists of the whole world met at carlsruhe for the purpose of arriving at some agreement and uniformity of opinion. i was present at this congress, and well remember how great was the difference of opinion, and how a compromise was advocated with great acumen by many scientific men, and with what warmth the followers of gerhardt, at whose head stood the italian professor, canizzaro, followed up the consequences of the law of avogadro. in the spirit of scientific freedom, without which science would make no progress, and would remain petrified as in the middle ages, and with the simultaneous necessity of scientific conservatism, without which the roots of past study could give no fruit, a compromise was not arrived at, nor ought it to have been, but instead of it truth, in the form of the law of avogadro-gerhardt, received by means of the congress a wider development, and soon afterwards conquered all minds. then the new so-called gerhardt atomic weights established themselves, and in the seventies they were already in general use. the chemical particle or _molecule must be considered as the quantity of a substance which enters into chemical reaction with other molecules, and occupies in a state of vapour the same volume as two parts by weight of hydrogen_. the molecular weight (which has been indicated by m) of a substance is determined by its composition, transformations, and vapour density. the molecule is not divisible by the mechanical and physical changes of substances, but in chemical reaction it is either altered in its properties, or quantity, or structure, or in the nature of the motion of its parts. an agglomeration of molecules, which are alike in all chemical respects, makes up the masses of homogeneous substances in all states.[ ] [ ] a bubble of gas, a drop of liquid, or the smallest crystal, presents an agglomeration of a number of molecules, in a state of continual motion (like the stars of the milky way), distributing themselves evenly or forming new systems. if the aggregation of all kinds of heterogeneous molecules be possible in a gaseous state, where the molecules are considerably removed from each other, then in a liquid state, where they are already close together, such an aggregation becomes possible only in the sense of the mutual reaction between them which results from their chemical attraction, and especially in the aptitude of heterogeneous molecules for combining together. solutions and other so-called indefinite chemical compounds should be regarded in this light. according to the principles developed in this work we should regard them as containing both the compounds of the heterogeneous molecules themselves and the products of their decomposition, as in peroxide of nitrogen, n_{ }o_{ } and no_{ }. and we must consider that those molecules a, which at a given moment are combined with b in ab, will in the following moment become free in order to again enter into a combined form. the laws of chemical equilibrium proper to dissociated systems cannot be regarded in any other light. molecules consist of atoms in a certain state of distribution and motion, just as the solar system[ ] is made up of inseparable parts (the sun, planets, satellites, comets, &c.) the greater the number of atoms in a molecule, the more complex is the resultant substance. the equilibrium between the dissimilar atoms may be more or less stable, and may for this reason give more or less stable substances. physical and mechanical transformations alter the velocity of the motion and the distances between the individual molecules, or of the atoms in the molecules, or of their sum total, but they do not alter the original equilibrium of the system; whilst chemical changes, on the other hand, alter the molecules themselves, that is, the velocity of motion, the relative distribution, and the quality and quantity of the atoms in the molecules. [ ] this strengthens the fundamental idea of the unity and harmony of type of all creation and is one of those ideas which impress themselves on man in all ages, and give rise to a hope of arriving in time, by means of a laborious series of discoveries, observations, experiments, laws, hypotheses, and theories, at a comprehension of the internal and invisible structure of concrete substances with that same degree of clearness and exactitude which has been attained in the visible structure of the heavenly bodies. it is not many years ago since the law of avogadro-gerhardt took root in science. it is within the memory of many living scientific men, and of mine amongst others. it is not surprising, therefore, that as yet little progress has been made in the province of molecular mechanics; but the theory of gases alone, which is intimately connected with the conception of molecules, shows by its success that the time is approaching when our knowledge of the internal structure of matter will be defined and established. _atoms are the smallest quantities_ or chemically indivisible masses _of the elements forming the molecules_ of elements and compounds. atoms have weight, the sum of their weights forms the weight of the molecule, and the sum of the weights of the molecules forms the weight of masses, and is the cause of gravity, and of all the phenomena which depend on the mass of a substance. the elements are characterised, not only by their independent existence, their incapacity of being converted into each other, &c., but also by the weight of their atoms. chemical and physical properties depend on the weight, composition, and properties of the molecules forming a substance, and on the weight and properties of the atoms forming the molecules. this is the substance of those principles of molecular mechanics which lie at the basis of all contemporary physical and chemical constructions since the establishment of the law of avogadro-gerhardt. the fecundity of the principles enunciated is seen at every step in all the particular cases forming the present store of chemical data. we will here cite a few examples of the application of the law. as the weight of an atom must be understood as the minimum quantity of an element entering into the composition of all the molecules formed by it, therefore, in order to find the weight of an atom of oxygen, let us take the molecules of those of its compounds which have already been described, together with the molecules of certain of those carbon compounds which will be described in the following chapter: molecular amount of molecular amount of weight oxygen weight oxygen h_{ }o hno_{ } n_{ }o co no co_{ } no_{ } the number of substances taken might be considerably increased, but the result would be the same--that is, the molecules of the compounds of oxygen would never be found to contain less than parts by weight of this element, but always _n_ , where _n_ is a whole number. the molecular weights of the above compounds are found either directly from the density of their vapour or gas, or from their reactions. thus, the vapour density of nitric acid (as a substance which easily decomposes above its boiling point) cannot be accurately determined, but the fact of its containing one part by weight of hydrogen, and all its properties and reactions, indicate the above molecular composition and no other. in this manner it is very easy to find the atomic weight of all the elements, knowing the molecular weight and composition of their compounds. it may, for instance, be easily proved that less than _n_ parts of carbon never enters into the molecules of carbon compounds, and therefore c must be taken as , and not as which was the number in use before gerhardt. in a similar manner the atomic weights now accepted for the elements oxygen, nitrogen, carbon, chlorine, sulphur, &c., were found and indubitably established, and they are even now termed the gerhardt atomic weights. as regards the metals, many of which do not give a single volatile compound, we shall afterwards see that there are also methods by which their atomic weights may be established, but nevertheless the law of avogadro-gerhardt is here also ultimately resorted to, in order to remove any doubt which may be encountered. thus, for instance, although much that was known concerning the compounds of beryllium necessitated its atomic weight being taken as be = --that is, the oxide as beo and the chloride becl_{ }--still certain analogies gave reason for considering its atomic weight to be be = · , in which case its oxide would be expressed by the composition be_{ }o_{ }, and the chloride by becl_{ }.[ ] it was then found that the vapour density of beryllium chloride was approximately , when it became quite clear that its molecular weight was , and as this satisfies the formula becl_{ }, but does not suit the formula becl_{ }, it therefore became necessary to regard the atomic weight of be as and not as - / . [ ] if be = , and beryllium chloride be becl_{ }, then for every parts of beryllium there are parts of chlorine, and the molecular weight of becl_{ } = ; hence the vapour density should be or _n_{ } . if be = · , and beryllium chloride be becl_{ }, then to · of beryllium there are · of chlorine; hence the molecular weight would be , and the vapour density or _n_ . the composition is evidently the same in both cases, because : :: · : · . thus, if the symbol of an element designate different atomic weights, apparently very different formulæ may equally well express both the percentage composition of compounds, and those properties which are required by the laws of multiple proportions and equivalents. the chemists of former days accurately expressed the composition of substances, and accurately applied dalton's laws, by taking h = , o = , c = , si = , &c. the gerhardt equivalents are also satisfied by them, because o = , c = , si = , &c., are multiples of them. the choice of one or the other multiple quantity for the atomic weight is impossible without a firm and concrete conception of the molecule and atom, and this is only obtained as a consequence of the law of avogadro-gerhardt, and hence the modern atomic weights are the results of this law (_see_ note ). with the establishment of a true conception of molecules and atoms, chemical formulæ became direct expressions, not only of composition,[ ] but also of molecular weight or _vapour density_, and consequently of a series of fundamental chemical and physical data, inasmuch as a number of the properties of substances are dependent on their vapour density, or molecular weight and composition. the vapour density d = m/ . for instance, the formula of ethyl ether is c_{ }h_{ }o, corresponding with the molecular weight , and the vapour density , which is the fact. therefore, the density of vapours and gases has ceased to be an empirical magnitude obtained by experiment only, and has acquired a rational meaning. it is only necessary to remember that grams of hydrogen, or the molecular weight of this primary gas in grams, occupies, at ° and mm. pressure, a volume of · litres (or , cubic centimetres), in order to directly determine the weights of cubical measures of gases and vapours from their formulæ, because _the molecular weights in grams of all other vapours at ° and mm. occupy the same volume, · litres_. thus, for example, in the case of carbonic anhydride, co_{ }, the molecular weight m = , hence grams of carbonic anhydride at ° and mm. occupy a volume of · litres--consequently, a litre weighs · gram. by combining the laws of gases--gay-lussac's, mariotte's, and avogadro-gerhardt's--we obtain[ ] a general formula for gases _s_( + _t_) = m_p_ where _s_ is the weight in grams of a cubic centimetre of a vapour or gas at a temperature _t_ and pressure _p_ (expressed in centimetres of mercury) if the molecular weight of the gas = m. thus, for instance, at ° and millimetres pressure (_i.e._ at the atmospheric pressure) the weight of a cubic centimetre of the vapour of ether (m = ) is _s_ = · .[ ] [ ] the percentage amounts of the elements contained in a given compound may be calculated from its formula by a simple proportion. thus, for example, to find the percentage amount of hydrogen in hydrochloric acid we reason as follows:--hcl shows that hydrochloric acid contains · of chlorine and part of hydrogen. hence, in · parts of hydrochloric acid there is part by weight of hydrogen, consequently parts by weight of hydrochloric acid will contain as many more units of hydrogen as is greater than · ; therefore, the proportion is as follows--_x_ : :: : · or _x_ = / · = · . therefore parts of hydrochloric acid contain · parts of hydrogen. in general, when it is required to transfer a formula into its percentage composition, we must replace the symbols by their corresponding atomic weights and find their sum, and knowing the amount by weight of a given element in it, it is easy by proportion to find the amount of this element in or any other quantity of parts by weight. if, on the contrary, it be required to find the formula from a given percentage composition, we must proceed as follows: divide the percentage amount of each element entering into the composition of a substance by its atomic weight, and compare the figures thus obtained--they should be in simple multiple proportion to each other. thus, for instance, from the percentage composition of hydrogen peroxide, · of hydrogen and · of oxygen, it is easy to find its formula; it is only necessary to divide the amount of hydrogen by unity and the amount of oxygen by . the numbers · and · are thus obtained, which are in the ratio : , which means that in hydrogen peroxide there is one atom of hydrogen to one atom of oxygen. the following is a proof of the practical rule given above _that to find the ratio of the number of atoms from the percentage composition, it is necessary to divide the percentage amounts by the atomic weights of the corresponding substances, and to find the ratio which these numbers bear to each other_. let us suppose that two radicles (simple or compound), whose symbols and combining weights are a and b, combine together, forming a compound composed of _x_ atoms of a and _y_ atoms of b. the formula of the substance will be a_x_b_y_. from this formula we know that our compound contains _x_a parts by weight of the first element, and _y_b of the second. in parts of our compound there will be (by proportion) ( . _x_a)/(_x_a + _y_b) of the first element, and ( . _y_b)/(_x_a + _y_b) of the second. let us divide these quantities, expressing the percentage amounts by the corresponding combining weights; we then obtain _x_/(_x_a + _y_b) for the first element and _y_/(_x_a + _y_b) for the second element. and these numbers are in the ratio _x_ : _y_--that is, in the ratio of the number of atoms of the two substances. it may be further observed that even the very language or nomenclature of chemistry acquires a particular clearness and conciseness by means of the conception of molecules, because then the names of substances may directly indicate their composition. thus the term 'carbon dioxide' tells more about and expresses co_{ } better than carbonic acid gas, or even carbonic anhydride. such nomenclature is already employed by many. but expressing the composition without an indication or even hint as to the properties, would be neglecting the advantageous side of the present nomenclature. sulphur dioxide, so_{ }, expresses the same as barium dioxide, bao_{ }, but sulphurous anhydride indicates the acid properties of so_{ }. probably in time one harmonious chemical language will succeed in embracing both advantages. [ ] this formula (which is given in my work on 'the tension of gases,' and in a somewhat modified form in the 'comptes rendus,' feb. ) is deduced in the following manner. according to the law of avogadro-gerhardt, m = d for all gases, where m is the molecular weight and d the density referred to hydrogen. but it is equal to the weight _s__{ } of a cubic centimetre of a gas in grams at ° and cm. pressure, divided by · , for this is the weight in grams of a cubic centimetre of hydrogen. but the weight _s_ of a cubic centimetre of a gas at a temperature _t_ and under a pressure _p_ (in centimetres) is equal to _s__{ }_p_/ ( + _at_). therefore, _s__{ } = _s_. ( + _at_)/_p_; hence d = ._s_( + _at_)/ · _p_, whence m = _s_( + _at_)/ · _p_, which gives the above expression, because /_a_ = , and multiplied by and divided by · is nearly . in place of _s_, _m/v_ may be taken, where _m_ is the weight and _v_ the volume of a vapour. [ ] the above formula may be directly applied in order to ascertain the molecular weight from the data; weight of vapour _m_ grms., its volume _v_ c.c., pressure _p_ cm., and temperature _t_°; for _s_ = the weight of vapour _m_, divided by the volume _v_, and consequently m = , _m_( + _t_)/_pv_. therefore, instead of the formula (_see_ chapter ii., note ), _pv_ = r( + _t_), where r varies with the mass and nature of a gas, we may apply the formula _pv_ = , (_m_/m)( + _t_). these formulæ simplify the calculations in many cases. for example, required the volume _v_ occupied by grms. of aqueous vapour at a temperature _t_ = ° and under a pressure _p_ = cm. according to the formula m = , _m_( + _t_)/_pv_, we find that _v_ = , c.c., as in the case of water m = , _m_ in this instance = grms. (these formulæ, however, like the laws of gases, are only approximate.) as the molecules of many elements (hydrogen, oxygen, nitrogen, chlorine, bromine, sulphur--at least at high temperatures) are of uniform composition, the formulæ of the compounds formed by them directly indicate the composition by volume. so, for example, the formula hno_{ } directly shows that in the decomposition of nitric acid there is obtained vol. of hydrogen, vol. of nitrogen, and vols. of oxygen. and since a great number of mechanical, physical, and chemical properties are directly dependent on the elementary and volumetric composition, and on the vapour density, the accepted system of atoms and molecules gives the possibility of simplifying a number of most complex relations. for instance, it may be easily demonstrated _that the vis viva of the molecules of all vapours and gases is alike_. for it is proved by mechanics that the _vis viva_ of a moving mass = ( / ) _mv_^ , where _m_ is the mass and _v_ the velocity. for a molecule, _m_ = m, or the molecular weight, and the velocity of the motion of gaseous molecules = a constant which we will designate by c, divided by the square root of the density of the gas[ ] = c/[sqrt]d, and as d = m/ , the _vis viva_ of molecules = c^ --that is, a constant for all molecules. _q.e.d._[ ] the specific heat of gases (chapter xiv.), and many other of their properties, are determined by their density, and consequently by their molecular weight. gases and vapours in passing into a liquid state evolve the so-called _latent heat_, which also proves to be in connection with the molecular weight. the observed latent heats of carbon bisulphide, cs_{ } = , of ether, c_{ }h_{ }o, = , of benzene, c_{ }h_{ }, = , of alcohol, c_{ }h_{ }o, = , of chloroform, chcl_{ }, = , &c., show the amount of heat expended in converting one part by weight of the above substances into vapour. a great uniformity is observed if the measure of this heat he referred to the weight of the molecule. for carbon bisulphide the formula cs_{ } expresses a weight , hence the latent heat of evaporation referred to the molecular quantity cs_{ } = x = , , for ether = , , for benzene = , , for alcohol = , , for chloroform = , , for water = , , &c. that is, for molecular quantities, the latent heat varies comparatively little, from , to , heat units, whilst for equal parts by weight it is ten times greater for water than for chloroform and many other substances.[ ] [ ] chapter i., note . [ ] _the velocity of the transmission of sound through gases and vapours_ closely bears on this. it = [sqrt](_kpg_)/d( + [greek: a]_t_), where _k_ is the ratio between the two specific heats (it is approximately · for gases containing two atoms in a molecule), _p_ the pressure of the gas expressed by weight (that is, the pressure expressed by the height of a column of mercury multiplied by the density of mercury), _g_ the acceleration of gravity, d the weight of a cubic measure of the gas, [greek: a] = · , and _t_ the temperature. hence, if _k_ be known, and as d can he found from the composition of a gas, we can calculate the velocity of the transmission of sound in that gas. or if this velocity be known, we can find _k_. the relative velocities of sound in two gases can he easily determined (kundt). if a horizontal glass tube (about metre long and closed at both ends) be full of a gas, and be firmly fixed at its middle point, then it is easy to bring the tube and gas into a state of vibration, by rubbing it from centre to end with a damp cloth. the vibration of the gas is easily rendered visible, if the interior of the tube be dusted with lycopodium (the yellow powder-dust or spores of the lycopodium plant is often employed in medicine), before the gas is introduced and the tube fused up. the fine lycopodium powder arranges itself in patches, whose number depends on the velocity of sound in the gas. if there be patches, then the velocity of sound in the gas is ten times slower than in glass. it is evident that this is an easy method of comparing the velocity of sound in gases. it has been demonstrated by experiment that the velocity of sound in oxygen is four times less than in hydrogen, and the square roots of the densities and molecular weights of hydrogen and oxygen stand in this ratio. [ ] if the conception of the molecular weights of substances does not give an exact law when applied to the latent heat of evaporation, at all events it brings to light a certain uniformity in figures, which otherwise only represent the simple result of observation. molecular quantities of liquids appear to expend almost equal amounts of heat in their evaporation. it may be said that the latent heat of evaporation of molecular quantities is approximately constant, because the _vis viva_ of the motion of the molecules is, as we saw above, a constant quantity. according to thermodynamics the latent heat of evaporation is equal to ((_t_ + )/e)(_n_´-_n_)_dp_/_d_t × · , where _t_ is the boiling point, _n_´ the specific volume (_i.e._ the volume of a unit of weight) of the vapour, and _n_ the specific volume of the liquid, _dp_/_d_t the variation of the tension with a rise of temperature per °, and · the density of the mercury according to which the pressure is measured. thus the latent heat of evaporation increases not only with a decrease in the vapour density (_i.e._ the molecular weight), but also with an increase in the boiling point, and therefore depends on different factors. generalising from the above, the weight of the molecule determines the properties of a substance _independently of its composition_--_i.e._ of the number and quality of the atoms entering into the molecule--whenever the substance is in a gaseous state (for instance, the density of gases and vapours, the velocity of sound in them, their specific heat, &c.), or passes into that state, as we see in the latent heat of evaporation. this is intelligible from the point of view of the atomic theory in its present form, for, besides a rapid motion proper to the molecules of gaseous bodies, it is further necessary to postulate that these molecules are dispersed in space (filled throughout with the luminiferous ether) like the heavenly bodies distributed throughout the universe. here, as there, it is only the degree of removal (the distance) and the masses of substances which take effect, while those peculiarities of a substance which are expressed in chemical transformations, and only come into action on near approach or on contact, are in abeyance by reason of the dispersal. hence it is at once obvious, in the first place, that in the case of solids and liquids, in which the molecules are closer together than in gases and vapours, a greater complexity is to be expected, _i.e._ a dependence of all the properties not only upon the weight of the molecule but also upon its composition and quality, or upon the properties of the individual chemical atoms forming the molecule; and, in the second place, that, in the case of a small number of molecules of any substance being disseminated through a mass of another substance--for example, in the formation of weak (dilute) solutions (although in this case there is an act of chemical reaction--_i.e._ a combination, decomposition, or substitution)--the dispersed molecules will alter the properties of the medium in which they are dissolved, almost in proportion to the molecular weight and almost independently of their composition. the greater the number of molecules disseminated--_i.e._ the stronger the solution--the more clearly defined will those properties become which depend upon the composition of the dissolved substance and its relation to the molecules of the solvent, for the distribution of one kind of molecules in the sphere of attraction of others cannot but be influenced by their mutual chemical reaction. these general considerations give a starting point for explaining why, since the appearance of van't hoff's memoir ( ), 'the laws of chemical equilibrium in a diffused gaseous or liquid state' (_see_ chapter i., note ), it has been found more and more that _dilute_ (weak) solutions exhibit such variations of properties as depend wholly upon the weight and number of the molecules and not upon their composition, and even give the means of determining the weight of molecules by studying the variations of the properties of a solvent on the introduction of a small quantity of a substance passing into solution. although this subject has been already partially considered in the first chapter (in speaking of solutions), and properly belongs to a special (physical) branch of chemistry, we touch upon it here because the meaning and importance of molecular weights are seen in it in a new and peculiar light, and because it gives a method for determining them whenever it is possible to obtain dilute solutions. among the numerous properties of dilute solutions which have been investigated (for instance, the osmotic pressure, vapour tension, boiling point, internal friction, capillarity, variation with change of temperature, specific heat, electroconductivity, index of refraction, &c.) we will select one--the 'depression' or fall of the temperature of freezing (raoult's cryoscopic method), not only because this method has been the most studied, but also because it is the most easily carried out and most frequently applied for determining the weight of the molecules of substances in solution, although here, owing to the novelty of the subject there are also many experimental discrepancies which cannot as yet be explained by theory.[ bis] [ bis] the osmotic pressure, vapour tension of the solvent, and several other means applied like the cryoscopic method to dilute solutions for determining the molecular weight of a substance in solution, are more difficult to carry out in practice, and only the method of _determining the rise of the boiling point_ of dilute solutions can from its facility be placed parallel with the cryoscopic method, to which it bears a strong resemblance, as in both the solvent changes its state and is partially separated. in the boiling point method it passes off in the form of a vapour, while in cryoscopic determinations it separates out in the form of a solid body. van't hoff, starting from the second law of thermodynamics, showed that the dependence of the rise of pressure (_dp_) upon a rise of temperature (_d_t) is determined by the equation _dp_ = (_kmp_/ t^ )_d_t, where _k_ is the latent heat of evaporation of the solvent, _m_ its molecular weight, _p_ the tension of the saturated vapour of the solvent at t, and t the absolute temperature (t = + _t_), while raoult found that the quantity (_p_-_p´_)/_p_ (chapter i., note ) or the measure of the relative fall of tension (_p_ the tension of the solvent or water, and _p´_ of the solution) is found by the ratio of the number of molecules, _n_ of the substance dissolved, and n of the solvent, so that (_p_-_p´_)/_p_ = c_n_/(n + _n_) where c is a constant. with very dilute solutions _p_ _-p´_ may be taken as equal to _dp_, and the fraction _n_/(n + _n_) as equal to _n_/n (because in that case the value of n is very much greater than _n_), and then, judging from experiment, c is nearly unity--hence: _dp/p_ = _n_/n or _dp_ = _np_/n, and on substituting this in the above equation we have (_kmp_/ t^ )_d_t = _np_/n. taking a weight of the solvent _m_/n = , and of the substance dissolved (per of the solvent) _q_, where _q_ evidently = _n_m, if m be the molecular weight of the substance dissolved, we find that _n_/n = _qm_/ m, and hence, according to the preceding equation, we have m = ( · t^ /_k_)·(_q_/_d_t), that is, by taking a solution of _q_ grms. of a substance in grms. of a solvent, and determining by experiment the rise of the boiling point _d_t, we find the molecular weight m of the substance dissolved, because the fraction · t^ /_k_ is (for a given pressure and solvent) a constant; for water at ° (t = °) when _k_ = (chapter i., note ), it is nearly · , for ether nearly , for bisulphide of carbon nearly , for alcohol nearly · , &c. as an example, we will cite from the determinations made by professor sakurai, of japan ( ), that when water was the solvent and the substance dissolved, corrosive sublimate, hgcl_{ }, was taken in the quantity _q_ = · and · grms., the rise in the boiling point _d_t was = o°· and °· , whence m = and , and when alcohol was the solvent, _q_ = · and · and _d_t = °· and °· , whence m = and , whilst the actual molecular weight of corrosive sublimate = , which is very near to that given by this method. in the same manner for aqueous solutions of sugar (m = ), when _q_ varied from to · , and the rise of the boiling point from °· to °· , m was found to vary between and . for solutions of iodine i_{ } in ether, the molecular weight was found by this method to be between and , and i_{ } = . sakurai obtained similar results (between and ) for solutions of iodine in bisulphide of carbon. we will here remark that in determining m (the molecular weight of the substance dissolved) at small but increasing concentrations (per grms. of water), the results obtained by julio baroni ( ) show that the value of m found by the formula may either increase or decrease. an increase, for instance, takes place in aqueous solutions of hgcl_{ } (from to instead of ), kno_{ } ( - instead of ), agno_{ } ( - instead of ), k_{ }so_{ } ( - instead of ), sugar ( - instead of ), &c. on the contrary the calculated value of m decreases as the concentration increases, for solutions of kcl ( - instead of · ), nacl ( - instead of · ), nabr ( - instead of ), &c. in this case (as also for licl, nai, c_{ }h_{ }nao_{ }, &c.) the value of _i_ (chapter i., note ), or the ratio between the actual molecular weight and that found by the rise of the boiling point, was found to increase with the concentration, _i.e._ to be greater than , and to differ more and more from unity as the strength of the solution becomes greater. for example, according to schlamp ( ), for licl, with a variation of from · to · grm. licl per of water, _i_ varies from · to · . but for substances of the first series (hgcl_{ }, &c.), although in very dilute solutions _i_ is greater than , it approximates to as the concentration increases, and this is the normal phenomenon for solutions which do not conduct an electric current, as, for instance, of sugar. and with certain electrolytes, such as hgcl_{ }, mgso_{ }, &c., _i_ exhibits a similar variation; thus, for hgcl_{ } the value of m is found to vary between and ; that is, _i_ (as the molecular weight = ) varies between · and · . hence i do not believe that the difference between _i_ and unity (for instance, for cacl_{ }, _i_ is about , for ki about , and decreases with the concentration) can at present be placed at the basis of any general chemical conclusions, and it requires further experimental research. among other methods by which the value of _i_ is now determined for dilute solutions is the study of their electroconductivity, admitting that _i_ = + _a_(_k_- ), where _a_ = the ratio of the molecular conductivity to the limiting conductivity corresponding to an infinitely large dilution (_see_ physical chemistry), and _k_ is the number of ions into which the substance dissolved can split up. without entering upon a criticism of this method of determining _i_, i will only remark that it frequently gives values of _i_ very close to those found by the depression of the freezing point and rise of the boiling point; but that this accordance of results is sometimes very doubtful. thus for a solution containing · grms. cacl_{ } per grms. of water, _i_, according to the vapour tension = · , according to the boiling point = · , according to the electroconductivity = · , while for solutions in propyl alcohol (schlamp ) _i_ is near to · . in a word, although these methods of determining the molecular weight of substances in solution show an undoubted progress in the general chemical principles of the molecular theory, there are still many points which require explanation. we will add certain general relations which apply to these problems. isotonic (chapter i., note ) solutions exhibit not only similar osmotic pressures, but also the same vapour tension, boiling point and freezing temperature. the osmotic pressure bears the same relation to the fall of the vapour tension as the specific gravity of a solution does to the specific gravity of the vapour of the solvent. the general formulæ underlying the whole doctrine of the influence of the molecular weight upon the properties of solutions considered above, are: . raoult in - showed that ((_p_-_p_´)/_p_) × ( /_a_) × (m/_m_) = a constant c where _p_ and _p_´ are the vapour tensions of the solvent and substance dissolved, _a_ the amount in grms. of the substance dissolved per grms. of solvent, m and _m_ the molecular weights of the substance dissolved and solvent. . raoult and recoura in showed that the constant above c = the ratio of the actual vapour density _d_´ of the solvent to the theoretical density _d_ calculated according to the molecular weight. this deduction may now be considered proved, because both the fall of tension and the ratio of the vapour densities _d_´/_d_ give, for water · , for alcohol · , for ether · , for bisulphide of carbon · , for benzene · , for acetic acid · . . by applying the principles of thermodynamics and calling l_{ } the latent heat of fusion and t_{ } the absolute (= _t_ + ) temperature of fusion of the solvent, and l_{ } and t_{ } the corresponding values for the boiling point, van't hoff in - deduced:-- (depression of freezing point)/(rise of boiling point) = (l_{ }/l_{ }) × (t_{ }^ /t_{ }^ ) depression of freezing point = (at_{ }^{ }_a_)/(l_{ }m_{ }) rise of boiling point = (at_{ }^{ }_a_)/(l_{ }m_{ }) where a = · (or nearly · as we took it above), _a_ is the weight in grms. of the substance dissolved per grms. of the solvent, m_{ } the molecular weight of the dissolved substance (in the solution), and m the molecular weight of this substance according to its composition and vapour density, then _i_ = m/m_{ }. the experimental data and theoretical considerations upon which these formulæ are based will be found in text-books of physical and theoretical chemistry. if gram-molecules of water, _i.e._ , grms, be taken and _n_ gram-molecules of sugar, c_{ }h_{ }o_{ }, _i.e._ _n_ grms., be dissolved in them, then the depression _d_, or fall (counting from °) of the temperature of the formation of ice will be (according to pickering) _n_ = · · · · · _d_ = ° °· °· °· °· °· which shows that for high degrees of dilution (up to · _n_) _d_ approximately (estimating the possible errors of experiment at ± °· ) = _n_ · , because then _d_ = °, °· , °· , °· , °· , °· , and the difference between these figures and the results of experiment for very dilute solutions is less than the possible errors of experiment (for _n_ = the difference is already greater) and therefore for dilute solutions of sugar it may be said that _n_ molecules of sugar in dissolving in molecules of water give a depression of about °· _n_. similar data for acetone (chapter i., note ) give a depression of °· _n_ for _n_ molecules of acetone per molecules of water. and in general, for indifferent substances (the majority of organic bodies) the depression per h_{ }o is _nearly n_ °· to _n_ °· (ether, for instance, gives the last number), and consequently in dissolving in grms. of water it is about °· _n_ to °· _n_, taking this rule to apply to the case of a small number of _n_ (not over · _n_). if instead of water, other liquid or fused solvents (for example, benzene, acetic acid, acetone, nitrobenzene or molten naphthaline, metals, &c.) be taken and in the proportion of molecules of the solvent to _n_ molecules of a dissolved indifferent (neither acid nor saline) substance, then the depression is found to be equal to from °· _n_ to °· _n_ and in general k_n_. if the molecular weight of the solvent = _m_, then gram-molecules will weigh _m_ grms., and the depression will be approximately (taking · _n_) equal to _m_ · _n_ degrees for _n_ molecules of the substance dissolved in grms. of the solvent, or in general the depression for grms. of a given solvent = _kn_ where _k_ is almost a constant quantity (for water nearly , for acetone nearly , &c.) for all dilute solutions. thus, having found a convenient solvent for a given substance and prepared a definite (by weight) solution (_i.e._ knowing how many grms. _r_ of the solvent there are to _q_ grms. of the substance dissolved) and having determined the depression _d_--_i.e._ the fall in temperature of freezing for the solvent--it is possible to determine the molecular weight of the substance dissolved, because _d_ = _kn_ where _d_ is found by experiment and _k_ is determined by the nature of the solvent, and therefore _n_ or the number of molecules of the substance dissolved can be found. but if _r_ grms. of the solvent and _q_ grms. of the substance dissolved are taken, then there are _q_/_r_ of the latter per grms. of the former, and this quantity = _n_x, where _n_ is found from the depression and = _d_/_k_ and x is the molecular weight of the substance dissolved. hence x = _qk_/_rd_, which gives the molecular weight, naturally only approximately, but still with sufficient accuracy to easily indicate, for instance, whether in peroxide of hydrogen the molecule contains ho or h_{ }o_{ } or h_{ }o_{ }, &c. (h_{ }o_{ } is obtained). moreover, attention should be drawn to the fact that a great many substances taken as solvents give per molecules a depression of about · _n_, whilst water gives about · _n_, _i.e._ a larger quantity, as though the molecules of liquid water were more complex than is expressed by the formula h_{ }o.[ ] a similar phenomenon which repeats itself in the osmotic pressure, vapour tension of the solvent, &c. (_see_ chapter i., notes and ), _i.e._ a variation of the constant (_k_ for grms. of the solvent or k for molecules of it), is also observed in passing from indifferent substances to saline (to acids, alkalis and salts) both in aqueous and other solutions as we will show (according to pickering's data ) for solutions of nacl and cuso_{ } in water. for _n_ = · · · · · molecules of nacl the depression is _d_ = °· °· °· °· °· which corresponds to a depression per molecule k = · · · · · _i.e._ here in the most dilute solutions (when _n_ is nearly ) _d_ is obtained about · _n_, while in the case of sugar it was about · _n_. for cuso_{ } for the same values of _n_, experiment gave: _d_ = °· °· °· °· °· k = · · · · · _i.e._ here again _d_ for very dilute solutions is nearly · _n_, but the value of k falls as the solution becomes more concentrated, while for nacl it at first increased and only fell for the more concentrated solutions. the value of k in the solution of _n_ molecules of a body in h_{ }o, when _d_ = k_n_, for very dilute solutions of cacl_{ } is nearly · , for ca(no_{ })_{ } nearly · , for hno_{ }, ki and kho nearly · - ·o, for borax na_{ }b_{ }o_{ } nearly · , &c., while for sugar and similar substances it is, as has been already mentioned, nearly · - · . although these figures are very different[ bis] still _k_ and k may be considered constant for analogous substances, and therefore the weight of the molecule of the body in solution can be found from _d_. and as the vapour tension of solutions and their boiling points (_see_ note bis and chapter i., note ) vary in the same manner as the freezing point depression, so they also may serve as means for determining the molecular weight of a substance in solution.[ ] [ ] a similar conclusion respecting the molecular weight of liquid water (_i.e._ that its molecule in a liquid state is more complex than in a gaseous state, or polymerized into h_{ }o_{ }, h_{ }o_{ } or in general into _n_h_{ }o) is frequently met in chemico-physical literature, but as yet there is no basis for its being fully admitted, although it is possible that a polymerization or aggregation of several molecules into one takes place in the passage of water into a liquid or solid state, and that there is a converse depolymerization in the act of evaporation. recently, particular attention has been drawn to this subject owing to the researches of eötvös ( ) and ramsay and shields ( ) on the variation of the surface tension n with the temperature (n = the capillary constant _a_^ multiplied by the specific gravity and divided by , for example, for water at ° and ° the value of _a_^ = · and · sq. mm., and the surface tension · and · ). starting from the absolute boiling point (chapter ii., note ) and adding °, as was necessary from all the data obtained, and calling this temperature t, it is found that as = _k_t, where s is the surface of a gram-molecule of the liquid (if m is its weight in grams, _s_ its sp. gr., then its sp. volume = m/_s_, and the surface s = [ root](m/_s_)^ ), a the surface tension (determined by experiment at t), and _k_ a constant which is independent of the composition of the molecule. the equation as = _k_t is in complete agreement with the well-known equation for gases _vp_ = rt (p. ) which serves for deducing the molecular weight from the vapour density. ramsay's researches led him to the conclusion that the liquid molecules of cs_{ }, ether, benzene, and of many other substances, have the same value as in a state of vapour, whilst with other liquids this is not the case, and that to obtain an accordance, that is, that _k_ shall be a constant, it is necessary to assume the molecular weight in the liquid state to be _n_ times as great. for the fatty alcohols and acids _n_ varies from - / to - / , for water from - / to , according to the temperature (at which the depolymerization takes place). hence, although this subject offers a great theoretical interest, it cannot be regarded as firmly established, the more so since the fundamental observations are difficult to make and not sufficiently numerous; should, however, further experiments confirm the conclusions arrived at by professor ramsay, this will give another method of determining molecular weights. [ bis] their variance is expressed in the same manner as was done by van't hoff (chapter i., notes and ) by the quantity _i_, taking it as = when _k_ = · , in that case for ki, _i_ is nearly , for borax about , &c. [ ] we will cite one more example, showing the direct dependence of the properties of a substance on the molecular weight. if one molecular part by weight of the various chlorides--for instance, of sodium, calcium, barium, &c.--be dissolved in molecular parts by weight of water (for instance, in , grams) then it is found that the greater the molecular weight of the salt dissolved, the greater is the specific gravity of the resultant solution. molecular sp. gr. molecular sp. gr. weight at ° weight at ° hcl · · cacl_{ } · nacl · · nicl_{ } · kcl · · zncl_{ } · becl_{ } · bacl_{ } · mgcl_{ } · thus not only in vapours and gases, but also in dilute solutions of solid and liquid substances, we see that if not all, still many properties are wholly dependent upon the molecular weight and not upon the quality of a substance, and that this gives the possibility of determining the weight of molecules by studying these properties (for instance, the vapour density, depression of the freezing point, &c.) it is apparent from the foregoing that the physical and even more so the chemical properties of homogeneous substances, more especially solid and liquid, do not depend exclusively upon the weights of their molecules, but that many are in definite (_see_ chapter xv.) dependence upon the weights of the atoms of the elements entering into their composition, and are determined by their quantitative and individual peculiarities. thus the density of solids and liquids (as will afterwards be shown) is chiefly determined by the weights of the atoms of the elements entering into their composition, inasmuch as dense elements (in a free state) and compounds are only met with among substances containing elements with large atomic weights, such as gold, platinum, and uranium. and these elements themselves, in a free state, are the heaviest of all elements. substances containing such light elements as hydrogen, carbon, oxygen and nitrogen (like many organic substances) never have a high specific gravity; in the majority of cases it scarcely exceeds that of water. the density generally decreases with the increase of the amount of hydrogen, as the lightest element, and a substance is often obtained lighter than water. the refractive power of substances also entirely depends on the composition and the properties of the component elements.[ bis] the history of chemistry presents a striking example in point--newton foresaw from the high refractive index of the diamond that it would contain a combustible substance since so many combustible oils have a high refractive power. we shall afterwards see (chapter xv.) that many of those properties of substances which are in direct dependence not upon the weight of the molecules but upon their composition, or, in other words, upon the properties and quantities of the elements entering into them, stand in a peculiar (periodic) dependence upon the atomic weight of the elements; that is, the mass (of molecules and atoms), proportional to the weight, determines the properties of substances as it also determines (with the distance) the motions of the heavenly bodies. [ bis] with respect to the optical refractive power of substances, it must first be observed that the coefficient of refraction is determined by two methods: (_a_) either all the data are referred to one definite ray--for instance, to the fraunhofer (sodium) line d of the solar spectrum--that is, to a ray of definite wave length, and often to that red ray (of the hydrogen spectrum) whose wave length is millionths of a millimetre; (_b_) or cauchy's formula is used, showing the relation between the coefficient of refraction and dispersion to the wave length _n_ = a + (b/([greek: l]^ )), where a and b are two constants varying for every substance but constant for all rays of the spectrum, and [greek: l] is the wave length of that ray whose coefficient of refraction is _n_. in the latter method the investigation usually concerns the magnitudes of a, which are independent of dispersion. we shall afterwards cite the data, investigated by the first method, by which gladstone, landolt, and others established the conception of the refraction equivalent. it has long been known that the _coefficient of refraction n_ for a given substance decreases with the density of a substance d, so that the magnitude (_n_- ) ÷ d = c is almost constant for a given ray (having a definite wave length) and for a given substance. this constant is called the _refractive energy_, and its product with the atomic or molecular weight of a substance the _refraction equivalent_. the coefficient of refraction of oxygen is · , of hydrogen · , their densities (referred to water) are · and · , and their atomic weights, o = , h = ; hence their refraction equivalents are and · . water contains h_{ }o, consequently the sum of the equivalents of refraction is ( × · ) + = . but as the coefficient of refraction of water = · , its refraction equivalent = · , or nearly . comparison shows that, approximately, the sum of the refraction equivalents of the atoms forming compounds (or mixtures) is equal to the refraction equivalent of the compound. according to the researches of gladstone, landolt, hagen, brühl and others, the refraction equivalents of the elements are--h = · , li = · , b = · , c = · , n = · (in its highest state of oxidation, · ), o = · , f = · , na = · , mg = · , al = · , si = · , p = · , s = · , cl = · , k = · , ca = · , mn = · , fe = · (in the salts of its higher oxides, · ), co = · , cu = · , zn = · , as = · , bi = · , ag = · , cd = · , i = · , pt = · , hg = · , pb = · , &c. the refraction equivalents of many elements could only be calculated from the solutions of their compounds. the composition of a solution being known it is possible to calculate the refraction equivalent of one of its component parts, those for all its other components being known. the results are founded on the acceptance of a law which cannot be strictly applied. nevertheless the representation of the refraction equivalents gives an easy means for directly, although only approximately, obtaining the coefficient of refraction from the chemical composition of a substance. for instance, the composition of carbon bisulphide is cs_{ } = , and from its density, · , we find its coefficient of refraction to be · (because the refraction equivalent = + × = ), which is very near the actual figure. it is evident that in the above representation compounds are looked on as simple mixtures of atoms, and the physical properties of a compound as the sum of the properties present in the elementary atoms forming it. if this representation of the presence of simple atoms in compounds had not existed, the idea of combining by a few figures a whole mass of data relating to the coefficient of refraction of different substances could hardly have arisen. for further details on this subject, see works on _physical chemistry_. chapter viii carbon and the hydrocarbons it is necessary to clearly distinguish between the two closely-allied terms, charcoal and carbon. charcoal is well known to everybody, although it is no easy matter to obtain it in a chemically pure state. pure charcoal is a simple, insoluble, infusible, combustible substance produced by heating organic matter, and has the familiar aspect of a black mass, devoid of any crystalline structure, and completely insoluble. charcoal is a substance possessing a peculiar combination of physical and chemical properties. this substance, whilst in a state of ignition, combines directly with oxygen; in organic substances it is found in combination with hydrogen, oxygen, nitrogen, and sulphur. but in all these combinations there is no real charcoal, as in the same sense there is no ice in steam. what is found in such combinations is termed 'carbon'--that is, an element common to charcoal, to those substances which can be formed from it, and also to those substances from which it can be obtained. carbon may take the form of charcoal, but occurs also as diamond and as graphite. truly no other element has such a wide terminology. oxygen is always called 'oxygen,' whether it is in a free gaseous state, or in the form of ozone, or oxygen in water, or in nitric acid or in carbonic anhydride. but here there is some confusion. in water it is evident that there is no oxygen in a gaseous form, such as can be obtained in a free state, no oxygen in the form of ozone, but a substance which is capable of producing both oxygen, ozone, and water. as an element, oxygen possesses a known chemical individuality, and an influence on the properties of those combinations into which it enters. hydrogen gas is a substance which reacts with difficulty, but the element hydrogen represents in its combinations an easily displaceable component part. carbon may be considered as an atom of carbon matter, and charcoal as a collection of such atoms forming a whole substance, or mass of molecules of the substance. the accepted atomic weight of carbon is , because that is the least quantity of carbon which enters into combination in molecules of its compounds; but the weight of the molecules of charcoal is probably very much greater. this weight remains unknown because charcoal is capable of but few direct reactions and those only at a high temperature (when the weight of its molecules probably changes, as when ozone changes into oxygen), and it does not turn into vapour. carbon exists in nature, both in a free and combined state, in most varied forms and aspects. carbon in a free state is found in at least three different forms, as charcoal, graphite, and the diamond. in a combined state it enters into the composition of what are called organic substances--a multitude of substances which are found in all plants and animals. it exists as carbonic anhydride both in air and in water, and in the soil and crust of the earth as salts of carbonic acid and as organic remains. the variety of the substances of which the structure of plants and animals is built up is familiar to all. wax, oil, turpentine, and tar, cotton and albumin, the tissue of plants and the muscular fibre of animals, vinegar and starch, are all vegetable and animal matters, and all carbon compounds.[ ] the class of carbon compounds is so vast that it forms a separate branch of chemistry, known under the name of organic chemistry--that is, the chemistry of carbon compounds, or, more strictly, of the hydrocarbons and their derivatives. [ ] wood is the non-vital part of ligneous plants: the vital part of ordinary trees is situated between the bark and the lignin. every year a layer of lignin is deposited on this part by the juices which are absorbed by the roots and drawn up by the leaves; for this reason the age of trees may be determined by the number of lignin layers deposited. the woody matter consists principally of fibrous tissue on to which the lignin or so-called incrusting matter has been deposited. the tissue has the composition c_{ }h_{ }o_{ }, the substance deposited on it contains more carbon and hydrogen and less oxygen. this matter is saturated with moisture when the wood is in a fresh state. fresh birch wood contains about p.c. of water, lime wood p.c., oak p.c., pine and fir about p.c. when dried in the air the wood loses a considerable quantity of water and not more than p.c. remains. by artificial means this loss of water may be increased. if water be driven into the pores of wood the latter becomes heavier than water, as the lignin of which it is composed has a density of about · . one cubic centimetre of birch wood does not weigh more than · gram, fir · , lime tree · , poplar · when in a fresh state; when in a dry state birch weighs · , pine · , fir · , lime · , guaiacum · , ebony · . on one hectare ( · acres) of woodland the yearly growth averages the amount of , kilograms (or about tons) of wood, but rarely reaches as much as , kilos. the average chemical composition of wood dried in air may be expressed as follows:--hygroscopic water p.c., carbon p.c., hydrogen p.c., oxygen and nitrogen p.c., ash p.c. wood parts with its hygroscopic water at °, and decomposes at about °, giving a brown, brittle, so-called red charcoal; above ° black charcoal is produced. as the hydrogen contained in wood requires for its combustion about forty parts by weight of oxygen, which is present to the amount of about p.c., all that burns of the wood is the carbon which it contains, parts of wood only giving out as much heat as forty parts of charcoal, and therefore it would be far more profitable to use charcoal for heating purposes than wood, if it were possible to obtain it in such quantities as correspond with its percentage ratio--that is forty parts per parts of wood. generally, however, the quantity produced is far less, not more than p.c., because part of the carbon is given off as gas, tar, &c. if wood has to be transported great distances, or if it is necessary to obtain a very high temperature by burning it, then even as little as p.c. of charcoal from parts of wood may be advantageous. charcoal (from wood) develops on burning , heat units, whilst wood dried in air does not develop more than , units of heat; therefore seven parts of charcoal give as much heat as twenty parts of wood. as regards the temperature of combustion, it is far higher with charcoal than with wood, because twenty parts of burning wood give, besides the carbonic anhydride which is also formed together with charcoal, eleven parts of water, the evaporation of which requires a considerable amount of heat. [illustration: fig. .--apparatus for the dry distillation of wood. the retort _a_ containing the wood is heated by the flues _c e_. the steam and volatile products of distillation pass along the tube g through the condenser _m_, where they are condensed. the form, distribution, and dimensions of the apparatus vary.] the composition of the growing parts of plants, the leaves, young branches, shoots, &c., differs from the composition of the wood in that these vital parts contain a considerable quantity of sap which contains much nitrogenous matter (in the wood itself there is very little), mineral salts, and a large amount of water. taking, for example, the composition of clover and pasture hay in the green and dry state; in parts of green clover there is about p.c. of water and p.c. of dry matter, in which there are about · parts of nitrogenous albuminous matter, about · parts of soluble and about parts of insoluble non-nitrogenous matter, and about p.c. of ash. in dry clover or clover-hay there is about p.c. of water, p.c. of nitrogenous matter, and p.c. of ash. this composition of grassy substances shows that they are capable of forming the same sort of charcoal as wood itself. it also shows the difference of nutritive properties existing between wood and the substances mentioned. these latter serve as food for animals, because they contain those substances which are capable of being dissolved (entering into the blood) and forming the body of animals; such substances are proteids, starch, &c. let us remark here that with a good harvest an acre of land gives in the form of grass as much organic substance as it yields in the form of wood. one hundred parts of dry wood are capable of giving, on dry distillation, besides p.c. of charcoal and p.c. or more of tar, p.c. of watery liquid, containing acetic acid and wood spirit, and about p.c. of gases, which may be used for heating or lighting purposes, because they do not differ from ordinary illuminating gas, which can indeed be obtained from wood. as wood-charcoal and tar are valuable products, in some cases the dry distillation of wood is carried on principally for producing them. for this purpose those kinds of woods are particularly advantageous which contain resinous substances, especially coniferous trees, such as fir, pine, &c.; birch, oak, and ash give much less tar, but on the other hand they yield more aqueous liquor. the latter is used for the manufacture of wood spirit, ch_{ }o, and acetic acid, c_{ }h_{ }o_{ }. in such cases, the dry distillation is carried on in stills. the stills are nothing more than horizontal or vertical cylindrical retorts, made of boiler plate, heated with fuel and having apertures at the top and sometimes also at the bottom for the exit of the light and heavy products of distillation. the dry distillation of wood in stoves is carried on in two ways, either by burning a portion of the wood inside the stove in order to submit the remainder to dry distillation by means of the heat obtained in this manner, or by placing the wood in a stove the thin sides of which are surrounded with a flue leading from the fuel, placed in a space below. the first method does not give such a large amount of liquid products of the dry distillation as the latter. in the latter process there is generally an outlet below for emptying out the charcoal at the close of the operation. for the dry distillation of parts of wood from forty to twenty parts of fuel are used. in the north of russia wood is so plentiful and cheap that this locality is admirably fitted to become the centre of a general trade in the products of its dry distillation. coal (note ), sea-weed, turf, animal substances (chapter vi.), &c., are also submitted to the process of dry distillation. if any one of these organic compounds be strongly heated without free access of air--or, better still, in a vacuum--it decomposes with more or less facility. if the supply of air be insufficient, or the temperature be too low for combustion (_see_ chapter iii.), and if the first volatile products of transformation of the organic matter are subjected to condensation (for example, if the door of a stove be opened), an imperfect combustion takes place, and smoke, with charcoal or soot, is formed.[ ] the nature of the phenomenon, and the products arising from it, are the same as those produced by heating alone, since that part which is in a state of combustion serves to heat the remainder of the fuel. the decomposition which takes place on heating a compound composed of carbon, hydrogen, and oxygen is as follows:--a part of the hydrogen is separated in a gaseous state, another part in combination with oxygen, and a third part separates in combination with carbon, and sometimes in combination with carbon and oxygen in the form of gaseous or volatile products, or, as they are also called, the products of dry distillation. if the vapours of these products are passed through a strongly heated tube, they are changed again in a similar manner and finally resolve themselves into hydrogen and charcoal. altogether these various products of decomposition contain a smaller amount of carbon than the original organic matter; part of the carbon remains in a free state, forming charcoal.[ ] it remains in that space where the decomposition took place, in the shape of the black, infusible, non-volatile charcoal familiar to all. the earthy matter and all non-volatile substances (ash) forming a part of the organic matter, remain behind with the charcoal. the tar-like substances, which require a high temperature in order to decompose them, also remain mixed with charcoal. if a volatile organic substance, such as a gaseous compound containing oxygen and hydrogen, be taken, the carbon separates on passing the vapour through a tube heated to a high temperature. organic substances when burning with an insufficient supply of air give off soot--that is, charcoal--proceeding from carbon compounds in a state of vapour, the hydrogen of which has, by combustion, been converted into water; so, for instance, turpentine, naphthalene, and other hydrocarbons which are with difficulty decomposed by heat, easily yield carbon in the form of soot during combustion. chlorine and other substances which, like oxygen, are capable of taking up hydrogen, and also substances which are capable of taking up water, can also separate carbon from (or char) most organic substances. [ ] the result of imperfect combustion is not only the loss of a part of the fuel and the production of smoke, which in some respects is inconvenient and injurious to health, but also a low flame temperature, which means that a less amount of heat is transmitted to the object heated. imperfect combustion is not only always accompanied by the formation of soot or unburnt particles of charcoal, but also by that of carbonic oxide, co, in the smoke (chapter ix.) which burns, emitting much heat. in works and factories where large quantities of fuel are consumed, many appliances are adopted to ensure perfect combustion, and to combat against such a ruinous practice as the imperfect combustion of fuel. the most effective and radical means consists in employing combustible gases (producer and water gases), because by their aid perfect combustion can be easily realised without a loss of heat-producing power and the highest temperature can be reached. when solid fuel is used (such as coal, wood, and turf), imperfect combustion is most liable to occur when the furnace doors are opened for the introduction of fresh fuel. the step furnace may often prove a remedy for this defect. in the ordinary furnace fresh fuel is placed on the burning fuel, and the products of dry distillation of the fresh fuel have to burn at the expense of the oxygen remaining uncombined with the burnt fuel. imperfect combustion is observed in this case also from the fact that the dry distillation and evaporation of the water of the fresh fuel lying on the top of that burnt, lowers the temperature of the flame, because part of the heat becomes latent. on this account a large amount of smoke (imperfect combustion) is observed when a fresh quantity of fuel is introduced into the furnace. this may be obviated by constructing the furnace (or managing the stoking) in such a way that the products of distillation pass through the red-hot charcoal remaining from the burnt fuel. it is only necessary in order to ensure this to allow a sufficient quantity of air for perfect combustion. all this may be easily attained by the use of step fire-bars. the fuel is fed into a hopper and falls on to the fire-bars, which are arranged in the form of a staircase. the burning charcoal is below, and hence the flame formed by the fresh fuel is heated by the contact of the red-hot burning charcoal. an air supply through the fire grate, an equal distribution of the fuel on the fire-bars (otherwise the air will blow through empty spaces and lower the temperature), a proper proportion between the supply of air and the chimney draught, and a perfect admixture of air with the flame (without an undue excess of air), are the means by which we can contend against the imperfect combustion of such kinds of fuel as wood, peat, and ordinary (smoky) coal. coke, charcoal, anthracite, burn without smoke, because they do not contain hydrogenous substances which furnish the products of dry distillation, but imperfect combustion may occur with them also; in that case the smoke contains carbonic oxide. [ ] under the action of air, organic substances are capable of oxidising to such an extent that all the carbon and all the hydrogen they contain will be transformed into carbonic anhydride and water. the refuse of plants and that of animals are subjected to such a change whether they slowly decompose and putrefy, or rapidly burn with direct access of air. but if the supply of air be limited, there can be no complete transformation into water and carbonic anhydride, there will be other volatile matters (rich in hydrogen), while charcoal must remain as a non-volatile substance. all organic substances are unstable, they do not resist heat, and change even at ordinary temperatures, particularly if water be present. it is therefore easy to understand that charcoal may in many cases be obtained through the transformation of substances entering into the composition of organisms, but that it is never found in a pure state. however, water and carbonic anhydride are not the only products separated from organic substances. carbon, hydrogen, and oxygen are capable of giving a multitude of compounds; some of these are volatile compounds, gaseous, soluble in water--they are carried off from organic matter, undergoing change without access of air. others, on the contrary, are non-volatile, rich in carbon, unaffected by heat and other agents. the latter remain in admixture with charcoal in the place where the decomposition takes place; such, for example, are tarry substances. the quantity of those bodies which are found mixed with the charcoal is very varied, and depends on the energy and duration of the decomposing agent. the annexed table shows, according to the data of violette, those changes which wood undergoes at various temperatures when submitted to dry distillation by means of superheated steam:-- +----------------------------+------------------------------+ | residue | | |temperature from parts | in parts of the residual | | of alder wood | charcoal | +----------------------------+---------------------+--------+ | | c h o and n | ash | | ° · | · · · | · | | ° · | · · · | · | | ° · | · · · | · | | ° · | · · · | · | +----------------------------+---------------------+--------+ wood charcoal is prepared in large quantities in a similar manner--that is, by the partial combustion of wood.[ ] in nature a similar process of carbonisation of vegetable refuse takes place in its transformation under water, as shown by the marshy vegetation which forms peat.[ ] in this manner doubtless the enormous masses of coal were formed[ ] which, following the example set by england, are now utilised everywhere as the principal material for heating steam boilers, and in general for all purposes of heating and burning.[ ] russia possesses many very rich coalfields, amongst which the donetz district is most worthy of remark.[ ] [ ] the object of producing charcoal from wood has been explained in note . _wood charcoal_ is obtained in so-called stacks by partially burning the wood, or by means of dry distillation (note ) without the access of air. it is principally manufactured for metallurgical processes, especially for smelting and forging iron. the preparation of charcoal in stacks has one advantage, and that is that it may be done on any spot in the forest. but in this way all the products of dry distillation are lost. for charcoal burning, a pile or stack is generally built, in which the logs are placed close together, either horizontally, vertically, or inclined, forming a stack of from six to fifty feet in diameter and even larger. under the stack are several horizontal air passages, and an opening in the middle to let out the smoke. the surface of the stack is covered with earth and sods to a considerable thickness, especially the upper part, in order to hinder the free passage of air and to concentrate the heat inside. when the stack is kindled, the pile begins to settle down by degrees, and it is then necessary to look after the turf casing and keep it in repair. as the combustion spreads throughout the whole pile, the temperature rises and real dry distillation commences. it is then necessary to stop the air holes, in order as much as possible to prevent unnecessary combustion. the nature of the process is, that part of the fuel burns and develops the heat required for subjecting the remainder to dry distillation. the charring is stopped when the products of dry distillation, which are emitted, no longer burn with a brilliant flame, but the pale blue flame of carbonic oxide appears. dry wood in stacks yields about one-fourth of its weight of charcoal. [ ] when dead vegetable matter undergoes transformation in air, in the presence of moisture and lower organisms, there remains a substance much richer in carbon--namely, humus, black earth or mould. parts of humus in a dry state contain about p.c. of carbon. the roots, leaves, and stems of plants which wither and fall to the ground form a soil rich in humus. the non-vital vegetable substances (ligneous tissue) first form brown matter (ulmic compounds), and then black matter (humic substances), which are both insoluble in water; after this a brown acid is produced, which is soluble in water (apocrenic acid), and lastly a colourless acid also soluble in water (crenic acid). alkali dissolves a part of the original brown and black substances, forming solutions of a brown tint (ulmic and humic acids) which sometimes communicate their colour to springs and rivers. the proportion of humus in soil generally has a direct influence on its fertility; firstly, because putrefying plants develop carbonic anhydride and ammonia, and yield the substances forming the ashes of plants, which are necessary to vegetation; secondly, because humus is capable of attracting the moisture of the air and of absorbing water (twice its weight) and in this way keeps the soil in a damp condition, which is indispensable for nourishment; thirdly, humus renders the soil porous, and, fourthly, it renders it more capable of absorbing the heat of the sun's rays. on this account black earth is often most remarkable for its fertility. one object of manuring is to increase the quantity of humus in the soil, and any easily changeable vegetable or any animal matter (composts) may be used. the boundless tracts of black earth soil in russia are capable of bestowing countless wealth on the country. the origin and extent of black earth soil are treated in detail in professor dokouchaeff's works. if those substances which produce humus undergo decomposition under water, less carbonic anhydride is formed, a quantity of marsh gas, ch_{ }, is evolved, and the solid residue forms an acid humus found in great quantities in marshy places and called _peat_. peat is especially abundant in the lowlands of holland, north germany, ireland, and bavaria. in russia it is likewise found in large quantities, especially in the north-west districts. the old hard forms of peat resemble in composition and properties brown coal; the newest formations, as yet unhardened by pressure, form very porous masses which retain traces of the vegetable matter from which they have been formed. dried (and sometimes pressed) peat is used as fuel. the composition of peat varies considerably with the locality in which it is found. when dried in air it does not contain less than p.c. of water and p.c. of ash; the remainder consists of p.c. of carbon, p.c. of hydrogen, p.c. of nitrogen, and p.c. of oxygen. its heating power is about equivalent to that of wood. the brown earthy varieties of coal were probably formed from peat. in other cases they have a marked woody structure, and are then known as lignites. the composition of the brown sorts of coal resembles in a marked degree that of peat--namely, in a dried state brown coal contains on an average p.c. of carbon, p.c. of hydrogen, p.c. of oxygen and nitrogen, and p.c. of ash. in russia brown coal is met with in many districts near moscow, in the governments of toula and tver and the neighbourhood; it is very usually used as fuel, particularly when found in thick seams. the brown coals usually burn with a flame like wood and peat, and are akin to them in heating power, which is half or a third that of the best coal. [ ] grass and wood, the vegetation of primæval seas and similar refuse of all geological periods, must have been in many cases subjected to the same changes they now undergo--that is, under water they formed peat and lignites. such substances, preserved or a long time underground, subjected to the action of water, compressed by the new strata formed above them, transformed by the separation of their more volatile component parts (peat and lignites, even in their last condition, still continue to evolve nitrogen, carbonic anhydride, and marsh gases) form _coal_. coal is a dense homogeneous mass, black, with an oily or glassy lustre, or more rarely dull without any evident vegetable structure; this distinguishes it in appearance from the majority of lignites. the density of coal (not counting the admixture of pyrites, &c.) varies from · (dry bituminous coal) to · (anthracite, flameless), and even reaches · in the very dense variety of coal found in the olonetzky government (termed shungite), which according to the investigations of professor inostrantzeff may be regarded as the extreme member of the various forms of coal. in order to explain the formation of coal from vegetable matter, cagniard de la tour enclosed pieces of dried wood in a tube and heated them to the boiling point of mercury, when the wood was changed into a semi-liquid black mass from which a substance exceedingly like coal separated. in this manner some kinds of wood formed coal which on being heated left caking coke, others non-caking; precisely as we find with the natural varieties of coal. violette repeated these experiments with wood dried at °, and showed that when wood is decomposed in this way, a gas, an aqueous liquor, and a residue are formed. the latter at a temperature of ° has the properties of wood charcoal incompletely burnt; at ° and higher a homogeneous mass like coal is formed which at ° is dense and without cavities. at ° the residue resembles anthracite. in nature probably the decomposition was in rare cases effected by heat alone; more generally it was effected by means of water and heat, but in either case the result ought to be almost the same. the average composition of coal compiled from many analyses, disregarding the ash, is as follows: parts of carbon, parts of hydrogen, part of nitrogen, parts of oxygen, of sulphur. the quantity of ash is on an average p.c., but there are coals which contain a larger quantity, and naturally they are not so advantageous for use as fuel. the amount of water does not usually exceed more than p.c. the _anthracites_ form a remarkable variety of coals, they do not give any volatile products, or but a very small amount, as they contain but little hydrogen compared to oxygen. in the average composition of coal we saw that for parts of hydrogen there were parts of oxygen; therefore parts by weight of hydrogen are capable of forming hydrocarbons, because part of hydrogen is necessary in order to form water with the parts of oxygen. these parts by weight of hydrogen can convert parts of carbon into volatile products, because part of hydrogen by weight in these substances combines with parts of carbon. the anthracites differ essentially from this: neglecting the ash, their average composition is as follows: parts of carbon, of hydrogen, and of oxygen and nitrogen. according to the analyses of a. a. voskresensky, the grousheffsky anthracite (don district) contains: c = · , h = · , ash = · . therefore the anthracites contain but little hydrogen capable of combining with the carbon to form hydrocarbons which burn with a flame. anthracites are the oldest forms of coal. the newest and least transformed coals, which resemble some of the brown varieties, are the _dry_ coals. they burn with a flame like wood, and leave a coke having the appearance of lumps of coal, half their component parts being absorbed by the flame (they contain much hydrogen and oxygen). the remaining varieties of coal (gas coal, smithy coal, coking, and anthracite) according to grüner in all respects form connecting links between the _dry_ coals and the anthracites. these coals burn with a very smoky flame, and on being heated leave _coke_, which bears the same relation to coal that charcoal does to wood. the quantity and quality of coke vary considerably with the different sorts of coal from which it is formed. in practice coals are most often distinguished by the properties and quantity of the coke which they give. in this particular the so-called bituminous coals are especially valuable, as even the slack of this kind gives on dry distillation large spongy masses of coke. if large pieces of these kinds of coal are subjected to dry distillation, they, as it were, melt, flow together, and form caking masses of coke. the best coking coals give p.c. of dense caking coke. such coal is very valuable for metallurgical purposes (_see_ note ). besides coke, the dry distillation of coal produces gas (_see_ further, illuminating gas, p. ), coal-tar (which gives benzene, carbolic acid, naphthalene, tar for artificial asphalt, &c.) and also an aqueous alkaline liquor (with wood and lignites the liquid is acid from acetic acid) which contains ammonium carbonate (_see_ note ). [ ] in england in the output of coal was as much as million tons, and in latter years it has risen to about millions. besides this other countries contribute millions--russia about millions. the united states of america come next to england with an output of million tons, then germany millions; france produces but little ( millions), and takes about million tons from england. thus the world consumes about million tons of coal yearly. besides household purposes, coal is chiefly used as fuel for steam-engines. as every horse-power (= kilogrammetres per second) of a steam-engine expends on the average more than kilograms in hours, or in a year (counting stoppages) not less than tons per horse-power, and there are not less than million horse-power at work in the world, the consumption of coal for motive-power is at least equal to half the whole production. for this reason coal serves as a criterion of the industrial development of a country. about p.c. of coal is used for the manufacture of cast iron, wrought iron, steel, and articles made of them. [ ] the principal coal beds of russia under exploitation are: the don basin ( million poods per annum, poods = ton), the polish basin (dombrovo and others million poods per annum), the toula and riazan beds of the moscow basin (up to million poods), the ural basin ( million poods), the caucasian (kviboul, near kutais), the khirjhis steppes, the smithy coal basin (gov. of tomsk), the sahaline, &c. the polish and moscow basins do not give any coking coals. the presence of every variety of coal (from the dry coal near lisichansk on the donetz to the anthracites of the entire south-east basin), the great abundance of excellent metallurgical coal (coking, _see_ note ) in the western part of the basin, its vast extent (as much as , sq. versts), the proximity of the seams to the surface (the shafts are now from to fathoms deep, and in england and belgium as deep as fathoms), the fertility of the soil (black earth), the proximity of the sea (about versts from the sea of azoff) and of the rivers donetz, don, and dneiper, the most abundant seams of excellent iron ore (korsan mogila, krivoy rog, soulin, &c., &c.), copper ore, mercury ore (near nikitovka, in the bakhmouth district of the ekaterinoslav gov.), and other ores, the richest probably in the whole world, the beds of rock-salt (near the stations of the stoupka and brianzovka) the excellent clay of all kinds (china, fire-clay), gypsum, slate, sandstone, and other _wealth of the don coal basin_, give complete assurance of the fact that with the growth of industrial activity in russia this bountiful land of the cossacks and new russia will become the centre of the most extensive productive enterprise, not for the requirements of russia alone, but of the whole world, because in no other place can be found such a concentration of favourable conditions. the growth of enterprise and knowledge, together with the extinction of the forests which compels russia to foster the production of coal, will help to bring about this desired result. england with a whole fleet of merchant vessels exports annually about million tons of coal, the price of which is higher than on the donetz (where a pood of worked coal costs less than copecks on the average), where anthracites and semi-anthracites (like cardiff or steam coal, which burns without smoke) and coking and metallurgical coals are able both in quantity and quality to satisfy the most fastidious requirements of the industry already existing and rapidly increasing everywhere. the coal mines of england and belgium are approaching a state of exhaustion, whilst in those of the don basin, only at a depth of fathoms, , , million poods of coal lie waiting to be worked. during the imperfect combustion of volatile substances containing carbon and hydrogen, the hydrogen and part of the carbon first burn, and the remainder of the carbon forms soot. tar, pitch, and similar substances for this reason burn with a smoky flame. thus soot is finely-divided charcoal separated during the imperfect combustion of the vapours and gases of carbonaceous substances rich in carbon. specially-prepared soot (lampblack) is very largely used as a black paint and a large quantity goes for the manufacture of printers' ink. it is prepared by burning tar, oil, natural gas, naphtha, &c. the quantity of organic matter remaining undecomposed in the charcoal depends on the temperature to which it has been submitted. charcoal prepared at the lowest temperature still contains a considerable quantity of hydrogen and oxygen--even as much as p.c. of hydrogen and p.c. of oxygen. such charcoal still preserves the structure of the substance from which it was obtained. ordinary charcoal, for instance, in which the structure of the tree is still visible, is of this kind. on submitting it to further heating, a fresh quantity of hydrogen with carbon and oxygen (in the form of gases or volatile matter) may be separated, and the purest charcoal will be obtained on submitting it to the greatest heat.[ ] if it be required to prepare pure charcoal from soot it is necessary first to wash it with alcohol and ether in order to remove the soluble tarry products, and then submit it to a powerful heat to drive off the impurities containing hydrogen and oxygen. charcoal however when completely purified does not change in appearance. its porosity,[ ] bad conducting power for heat, capability of absorbing the luminous rays (hence its blackness and opacity), and many other qualities, are familiar from everyday experience.[ ] the specific gravity of charcoal varies from · to · , and that it floats on water is due to the air contained in its pores. if charcoal is reduced to a powder and moistened with spirit, it immediately sinks in water. it is _infusible_ in the furnace and even at the temperature of the oxyhydrogen flame. in the heat generated by means of a powerful galvanic current charcoal only softens but does not completely melt, and on cooling it is found to have undergone a complete change both in properties and appearance, and is more or less transformed into graphite. the physical stability of charcoal is without doubt allied to its chemical stability. it is evidently a substance devoid of energy, for it is insoluble in all known liquids, and _at an ordinary temperature does not combine with anything_; it is an inactive substance, like nitrogen.[ ] but these properties of charcoal change with a rise of temperature; thus, unlike nitrogen, charcoal, at a high temperature, combines directly with oxygen. this is well known, as charcoal burns in air. indeed, not only does oxygen _combine with charcoal at a red heat_, but sulphur, hydrogen, silicon, and also iron and some other metals[ bis] do so at a very high temperature--that is, when the molecules of the charcoal have reached a state of great instability--whilst at ordinary temperatures neither oxygen, sulphur, nor metals act on charcoal in any way. when burning in oxygen, charcoal forms carbonic anhydride, co_{ }, whilst in the vapours of sulphur, carbon bisulphide, cs_{ }, is formed, and wrought iron, when acted on by carbon, becomes cast iron. at the great heat obtained by passing the galvanic current through carbon electrodes, charcoal combines with hydrogen, forming acetylene, c_{ }h_{ }. charcoal does not combine directly with nitrogen, but in the presence of metals and alkaline oxides, nitrogen is absorbed, forming a metallic cyanide, as, for instance, potassium cyanide, kcn. from these few direct combinations which charcoal is capable of entering into, may be derived those numerous carbonaceous compounds which enter into the composition of plants and animals, and can be thus obtained artificially. certain substances containing oxygen give up a part of it to charcoal at a relatively low temperature. for instance, nitric acid when boiled with charcoal gives carbonic anhydride and nitric peroxide. sulphuric acid is reduced to sulphurous anhydride when heated with carbon. when heated to redness charcoal absorbs oxygen from a large number of the oxides. even such oxides as those of sodium and potassium, when heated to redness, yield their oxygen to charcoal although they do not part with it to hydrogen. only a few of the oxides, like silica (oxide of silicon) and lime (calcium oxide) resist the reducing action of charcoal. charcoal is capable of changing its physical condition without undergoing any alteration in its essential chemical properties--that is, it passes into _isomeric_ or _allotropic forms_. the two other particular forms in which carbon appears are the _diamond_ and _graphite_. the identity of composition of these with charcoal is proved by burning an equal quantity of all three separately in oxygen (at a very high temperature), when each gives the same quantity of carbonic anhydride--namely, parts of charcoal, diamond, or graphite in a pure state, yield on burning parts by weight of carbonic anhydride. the physical properties present a marked contrast; the densest sorts of charcoal have a density of only · , whilst the density of graphite is about · , and that of the diamond · . a great many other properties depend on the density, for instance combustibility. the lighter charcoal is, the more easily it burns; graphite burns with considerable difficulty even in oxygen, and the diamond burns only in oxygen and at a very high temperature. on burning, charcoal, the diamond, and graphite develop different quantities of heat. one part by weight of wood charcoal converted by burning into carbonic anhydride develops , heat units; dense charcoal separated in gas retorts develops , heat units; natural graphite, , heat units; and the diamond , . the greater the density the less the heat evolved by the combustion of the carbon.[ ] [ ] as it is difficult to separate from the charcoal the admixture of ash--that is, the earthy matter contained in the vegetable substance used for producing charcoal--in order to obtain it in its purest condition it is necessary to use such organic substances as do not contain any ash, for example completely refined or purified crystallised sugar, crystallised tartaric acid, &c. [ ] the cavities in charcoal are the passages through which those volatile products formed at the same time as the charcoal have passed. the degree of porosity of charcoal varies considerably, and has a technical significance, in different kinds of charcoal. the most porous charcoal is very light; a cubic metre of wood charcoal weighs about kilograms. many of the properties of charcoal which depend exclusively on its porosity are shared by many other porous substances, and vary with the density of the charcoal and depend on the way it was prepared. the property which charcoal has of absorbing gases, liquids, and many substances in solution, is a case in point. the densest kind of charcoal is formed by the action of great heat on sugar and other fusible substances. the lustrous grey dense coke formed in gas retorts is also of this character. this dense coke collects on the internal walls of the retorts subjected to great heat, and is produced by the vapours and gases separated from the heated coal in the retorts. in virtue of its density such coke becomes a good conductor of the galvanic current and approaches graphite. it is principally used in galvanic batteries. coke, or the charcoal remaining from the imperfect combustion of coal and tarry substances, is also but slightly porous, brilliant, does not soil or mark paper, is dense, almost devoid of the faculty of retaining liquids and solids, and does not absorb gases. the light sorts of charcoal produced from charred wood, on the other hand, show this absorptive power in a most marked degree. this property is particularly developed in that very fine and friable charcoal prepared by heating animal substances such as hides and bones. _the absorptive power of charcoal_ for gases is similar to the condensation of gases in spongy platinum. here evidently there is a case of the adherence of gases to a solid, precisely as liquids have the property of adhering to various solids. one volume of charcoal will absorb the following volumes of gases (charcoal is capable of absorbing an immense amount of chlorine, almost equal to its own weight):-- -------------------------------------------------------- saussure. favre. heat emitted boxwood charcoal cocoanut charcoal per gram of gas ------------------------------------------------------- nh_{ } vols. units co_{ } " " n_{ }o " " hcl " " ------------------------------------------------------- the quantity of gas absorbed by the charcoal increases with the pressure, and is approximately proportional to it. the quantity of heat given out by the absorption nearly approaches that set free on dissolving, or passing into a liquid condition. charcoal absorbs not only gases, but a number of other substances. for instance, alcohol which contains disagreeably smelling fusel oil, on being mixed with charcoal or filtered through it, loses most of the fusel oil. the practice of filtering substances through charcoal in order to get rid of foreign matters is often applied in chemical and manufacturing processes. oils, spirits, various extracts, and vegetable and other solutions are filtered through charcoal in order to purify them. the bleaching power of charcoal may be tested by using various coloured solutions--such as aniline dyes, litmus, &c. charcoal, which has absorbed one substance to saturation is still capable of absorbing certain other substances. animal charcoal, produced in a very finely-divided state, especially by heating bones, makes the best sort for the purposes of absorption. bone charcoal is used in large quantities in sugar works for filtering syrups and all saccharine solutions, in order to purify them, not only from colouring and odorous matter, but also from the lime which is mixed with the syrups in order to render them less unstable during boiling. the absorption of lime by animal charcoal depends, in all probability, in a great degree on the mineral component parts of bone charcoal. [ ] charcoal is a very bad conductor of heat, and therefore forms an excellent insulator or packing to prevent the transmission of heat. a charcoal lining is often used in crucibles for heating many substances, as it does not melt and resists a far greater heat than many other substances. [ ] the unalterability of charcoal under the action of atmospheric agencies, which produce changes in the majority of stony and metallic substances, is often made use of in practice. for example, charcoal is frequently strewn in boundary ditches. the surface of wood is often charred to render it durable in those places where the soil is damp and wood itself would soon rot. the chambers (or in some works towers) through which acids pass (for example, sulphuric and hydrochloric) in order to bring them into contact with gases or liquids, are filled with charcoal or coke, because at ordinary temperatures it resists the action of even the strongest acids. [ bis] maquenne ( ) discovered that carbon is capable of combining with the alkali metals. a p.c. amalgam of the metals was heated to a red heat with charcoal powder in a stream of hydrogen. the compounds so obtained possessed, after the mercury had been driven off, the compositions bac_{ }, src_{ }, cac_{ }. all these compounds react with water forming acetylene, for example: bac_{ } + h_{ }o = c_{ }h_{ } + ba(oh)_{ } maquenne proposes the barium carbide as a source of acetylene. he obtained this compound by heating carbonate of barium, magnesium powder, and retort carbon in a perreau furnace (baco_{ } + mg + c = mgo + bac_{ }). one hundred grams of bac_{ } evolve , to , c.c. of acetylene, mixed with about - p.c. of hydrogen. the relation of acetylene, c_{ }h_{ }, to these metallic carbides is evident from the fact that these metals (ca, sr, ba) replace atoms of hydrogen, and therefore c_{ }ba corresponds to c_{ }h_{ }, so that they may be regarded as metallic derivatives of acetylene. moissan ( ) obtained similar carbides directly from the oxides by subjecting them to the action of the voltaic arc, in the presence of carbon, for instance, bao + c = co + c_{ }ba, although at a furnace heat carbon has no action on the oxides cao, bao, sro. concerning al_{ }c_{ }, _see_ chapter xvii. note . [ ] when subjected to pressure, charcoal loses heat, hence the densest form stands to the less dense as a solid to a liquid, or as a compound to an element. from this the conclusion may be drawn that the molecules of graphite are more complex than those of charcoal, and those of the diamond still more so. the specific heat shows the same variation, and as we shall see further on, the increased complexity of a molecule leads to a diminution of the specific heat. at ordinary temperatures the specific heat of charcoal is · , graphite · , the diamond · . for retort carbon le chatelier ( ) found that the product of the sp. heat and atomic weight varies, between ° and °, according to the formula: = · + · _t_, and between ° and °, = · + · _t_ (_see_ chapter xiv. note ). by means of intense heat charcoal may be transformed into graphite. if a charcoal rod mm. in diameter and mm. long be enclosed in an exhausted receiver and the current from bunsen's elements, placed in parallel series of , be passed through it, the charcoal becomes strongly incandescent, partially volatilises, and is deposited in the form of graphite. if sugar be placed in a charcoal crucible and a powerful galvanic current passed through it, it is baked into a mass similar to graphite. if charcoal be mixed with wrought iron and heated, cast iron is formed, which contains as much as five per cent. of charcoal. if molten cast iron be suddenly chilled, the carbon remains in combination with the iron, forming so called white cast iron; but if the cooling proceeds slowly, the greater part of the carbon separates in the form of graphite, and if such cast iron (so called grey cast iron) be dissolved in acid, the carbon remains in the form of graphite. graphite is met with in nature, sometimes in the form of large compact masses, sometimes permeating rocky formations like the schists or slates, and in fact is met with in those places which, in all probability, have been subjected to the action of subterranean heat.[ ] the graphite in cast iron, and sometimes also natural graphite, occasionally appears in a crystalline form in the shape of six-sided plates, but more often it occurs as a compact amorphous mass having the characteristic properties of the familiar black-lead pencil.[ ] [ ] there are places where anthracite gradually changes into graphite as the strata sink. i myself had the opportunity of observing this gradual transformation in the valley of aosta. [ ] pencils are made of graphite worked up into a homogeneous mass by disintegrating, powdering, and cleansing it from earthy impurities; the best kinds are made of completely homogeneous graphite sawn up into the requisite sticks. graphite is found in many places. in russia the so-called aliberoffsky graphite is particularly renowned; it is found in the altai mountains near the chinese frontier; in many places in finland and likewise on the banks of the little tungouska, sidoroff also found a considerable quantity of graphite. when mixed with clay, graphite is used for making crucibles and pots for melting metals. graphite, like most forms of charcoal, still contains a certain quantity of hydrogen, oxygen, and ash, so that in its natural state it does not contain more than _p.c._ of carbon. in practice, graphite is purified simply by washing it when in a finely-ground state, by which means the bulk of the earthy matter may be separated. the following process, proposed by brodie, consists in mixing the powdered graphite with / part of its weight of potassium chlorate. the mixture is then heated with twice its weight of strong sulphuric acid until no more odoriferous gases are emitted; on cooling, the mixture is thrown into water and washed; the graphite is then dried and heated to a red heat; after this it shrinks considerably in volume and forms a very fine powder, which is then washed. by acting on graphite several times with a mixture of potassium chlorate and nitric acid heated up to °, brodie transformed it into a yellow insoluble acid substance which he called graphitic acid, c_{ }h_{ }o_{ }. the diamond remains unchanged when subjected to this treatment, whilst amorphous charcoal is completely oxidised. availing himself of this possibility of distinguishing graphite from the diamond or amorphous charcoal, berthelot showed that when compounds of carbon and hydrogen are decomposed by heat, amorphous charcoal is mainly formed, whilst when compounds of carbon with chlorine, sulphur, and boron are decomposed, graphite is principally deposited. the diamond is a crystalline and transparent form of carbon. it is of rare occurrence in nature, and is found in the alluvial deposits of the diamond mines of brazil, india, south africa, &c. it has also been found in meteorites.[ bis] it crystallises in octahedra, dodecahedra, cubes, and other forms of the regular system.[ ] the efforts which have been made to produce diamonds artificially, although they have not been fruitless, have not as yet led to the production of large-sized crystals, because those means by which crystals are generally formed are inapplicable to carbon. indeed, carbon in all its forms being insoluble and infusible does not pass into a liquid condition by means of which crystallisation could take place. diamonds have several times been successfully produced in the shape of minute crystals having the appearance of a black powder, but when viewed under the microscope appearing transparent, and possessing that hardness which is the peculiar characteristic of the diamond. this diamond powder is deposited on the negative electrode, when a weak galvanic current is passed through liquid chloride of carbon.[ bis] [ bis] diamonds are found in a particular dense rock, known by the name of itacolumite, and are dug out of the _débris_ produced by the destruction of the itacolumite by water. when the _débris_ is washed the diamonds remain behind; they are principally found in brazil, in the provinces of rio and bahia, and at the cape of good hope. the _débris_ gives the black or amorphous diamond, carbonado, and the ordinary colourless or yellow translucent diamond. as the diamond possesses a very marked cleavage, the first operation consists in splitting it, and then roughly and finely polishing it with diamond powder. it is very remarkable that professors p. a. latchinoff and eroféeff found ( ) diamond powder in a meteoric stone which fell in the government of penza, in the district of krasnoslobodsk, near the settlement of novo urei (sept. , ). up to that time charcoal and graphite (a special variety, cliftonite) had been found in meteorites and the diamond only conjectured to occur therein. the novo urei meteorite was composed of siliceous matter and metallic iron (with nickel) like many other meteorites. [ ] diamonds are sometimes found in the shape of small balls, and in that case it is impossible to cut them because directly the surface is ground or broken they fall into minute pieces. sometimes minute diamond crystals form a dense mass like sugar, and this is generally reduced to diamond powder and used for grinding. some known varieties of the diamond are almost opaque and of a black colour. such diamonds are as hard as the ordinary ones, and are used for polishing diamonds and other precious stones, and also for rock boring and tunnelling. [ bis] hannay, in , obtained diamonds by heating a mixture of heavy liquid hydrocarbons (paraffin oils) with magnesium in a thick iron tube. this investigation, however, was not repeated. moissan (paris, ) produced diamonds artificially by means of the high temperature attained in the electrical furnace[ ] by dissolving carbon in molten cast iron, and allowing the solution with an excess of carbon, to cool under the powerful pressure exerted by rapidly cooling the metal.[ bis] k. chroustchoff attained the same end by means of silver, which dissolves carbon to the extent of p.c. at a high temperature. rousseau, for the same purpose, heated carbide of calcium in the electric furnace. there is no doubt that all these investigators obtained the diamond as a transparent body, which burnt into co_{ }, and possessed an exceptional hardness, but only in the form of a fine powder. [ ] the _electrical furnace_ is an invention of recent times, and gives the possibility of obtaining a temperature of , °, which is not only not obtainable in ordinary furnaces, but even in the oxyhydrogen flame, whose temperature does not exceed , °. the electrical furnace consists of two pieces of lime, laid one on the other. a cavity is made in the lower piece for the reception of the substance to be melted between two thick electrodes of dense carbon. on passing a current of volts and ampères a temperature of , ° is easily obtained. at a temperature of , ° ( ampères and volts) not only do all metals melt, but even lime and magnesia (when placed in the space between the carbon electrodes, _i.e._ in the voltaic arc) become soft and crystallise on cooling. at , ° lime becomes very fluid, metallic calcium partially separates out and a carbon compound, which remains liquid for a long time. at this temperature oxide of uranium is reduced to the suboxide and metal, zirconia and rock crystal fuse and partially volatilise, as also does alumina; platinum, gold, and even carbon distinctly volatilise; the majority of the metals form carbides. at such a temperature also cast iron and carbon give graphite, while according to rousseau, between , ° and , ° the diamond passes into graphite and conversely graphite into the diamond, so that this is a kind of reversible reaction. [ bis] moissan first investigated the solution of carbon in molten metals (and the formation of the carbides) such as magnesium, aluminium, iron, manganese, chromium, uranium, silver, platinum, and silicon. at the same time friedel, owing to the discovery of the diamond in meteoric iron, admitted that the formation of the diamond is dependent upon the influence of iron and sulphur. with this object, that is to obtain the diamond, friedel caused sulphur to react upon samples of cast iron rich in carbon, in a closed vessel at a maximum temperature of °, and after dissolving the sulphide of iron formed, he obtained a small quantity of a black powder which scratched corundum, i.e. diamond. moissan's experiments ( ) were more successful, probably owing to his having employed the electrical furnace. if iron be saturated with carbon at a temperature between , ° and , °, then at , °- , ° a mixture of amorphous carbon and graphite is formed, while at , ° graphite alone is obtained in very beautiful crystals. thus under these conditions the diamond is not formed, and it can only be obtained if the high temperature be aided by powerful pressures. for this purpose moissan took advantage of the pressure produced in the passage of a mass of molten cast iron from a liquid into a solid state. he first melted - grams of iron in the electrical furnace, and quickly introduced a cylinder of carbon into the molten iron. he then removed the crucible with the molten iron from the furnace and plunged it into a reservoir containing water. after treating with boiling hydrochloric acid, three varieties of carbon were obtained: ( ) a small amount of graphite (if the cooling be rapid); ( ) carbon of a chestnut colour in very fine twisted threads, showing that it had been subjected to a very high pressure (a similar variety was met with in various samples of the canon diabolo), and lastly ( ) an inconsiderable quantity of an exceeding dense mass which was freed from the admixture of the lighter modifications by treatment with _aqua regia_, sulphuric and hydrofluoric acids, and from which moissan, by means of liquid bromoform (sp. gr. · ), succeeded in separating some small pieces, having a greater density than bromoform, which scratched the ruby and had the properties of the diamond. some of these pieces were black, others were transparent and refracted light strongly. the dark grey tint of the former resembled that of the black diamonds (carbonado). their density was between and · . the transparent specimens had a greasy appearance and seemed to be, as it were, surrounded by an envelope of carbon. at , ° they did not burn entirely in a current of air, so that the imperfectly burnt particles, and a peculiar form of grains of a light ochre colour, which retained their crystalline form, could be examined under the microscope. similar grains also remain after the imperfect combustion of the ordinary diamond. moissan obtained the same results by rapidly cooling in a stream of coal gas a piece of cast iron, saturated with carbon obtained from sugar and first heated to , °. in this instance he obtained small crystals of diamonds. k. chroustchoff showed that at its boiling point silver dissolves p.c. of carbon. this silver was rapidly cooled, so that a crust formed on the surface and prevented the metal expanding, and so produced a powerful pressure. a portion of the carbon which separates out under these conditions exhibits the properties of the diamond. judging from the fact that carbon forms a number of gaseous bodies (carbonic oxide, carbonic anhydride, methane, ethylene, acetylene, &c.) and volatile substances (for example, many hydrocarbons and their most simple derivatives), and considering that the atomic weight of carbon, c = , approaches that of nitrogen, n = , and that of oxygen, o = , and that the compounds co (carbonic oxide) and n_{ }c_{ } (cyanogen) are gases, it may be argued that if carbon formed the molecule c_{ }, like n_{ } and o_{ }, it would be a gas. and as through polymerism or the combination of like molecules (as o_{ } passes into o_{ } or no_{ } into n_{ }o_{ }) the temperatures of ebullition and fusion rise (which is particularly clearly proved with the hydrocarbons of the c_{n}h_{ n} series), it ought to be considered that _the molecules of charcoal, graphite, and the diamond are very complex_, seeing that they are insoluble, non-volatile, and infusible. the aptitude which the atoms of carbon show for combining together and forming complex molecules appears in all carbon compounds. among the volatile compounds of carbon many are well known the molecules of which contain c_{ } ... c_{ } ... c_{ } ... c_{ }, &c., in general c_{n} where n may be very large, and in none of the other elements is this faculty of complexity so developed as in carbon.[ ] up to the present time there are no grounds for determining the degree of polymerism of the charcoal, graphite, or diamond molecules, and it can only be supposed that they contain c_{n} where n is a large quantity. charcoal and those complex non-volatile organic substances which represent the gradual transitions to charcoal[ ] and form the principal solid substances of organisms, contain a store or accumulation of internal power in the form of the energy binding the atoms into complex molecules. when charcoal or complex compounds of carbon burn, the energy of the carbon and oxygen is turned into heat, and this fact is taken advantage of at every turn for the generation of heat from fuel.[ ] [ ] the existence of a molecule s_{ } is known (up to °), and it must he beld that this accounts for the formation of hydrogen persulphide, h_{ }s_{ }. phosphorus appears in the molecule p_{ } and gives p_{ }h_{ }. when expounding the data on specific heat we shall have occasion to return to the question of the complexity of the carbon molecule. [ ] the hydrocarbons poor in hydrogen and containing many atoms of carbon, like chrysene and carbopetrocene, &c., c_{_n_}h_{ (_n_-_m_)}, are solids, and less fusible as _n_ and _m_ increase. they present a marked approach to the properties of the diamond. and in proportion to the diminution of the water in the carbohydrates c_{_n_}h_{ _m_}o_{_m_}--for example in the humic compounds (note )--the transition of complex organic substances to charcoal is very evident. that residue resembling charcoal and graphite which is obtained by the separation (by means of copper sulphate and sodium chloride) of iron from white cast-iron containing carbon chemically combined with the iron, also seems, especially after the researches of g. a. zaboudsky, to be a complex substance containing c_{ }h_{ }o_{ }. the endeavours which have been directed towards determining the measure of complexity of the molecules of charcoal, graphite, and the diamond will probably at some period lead to the solution of this problem and will most likely prove that the various forms of charcoal, graphite, and the diamond contain molecules of different and very considerable complexity. the constancy of the grouping of benzene, c_{ }h_{ }, and the wide diffusion and facility of formation of the carbohydrates containing c_{ } (for example, cellulose, c_{ }h_{ }o_{ }, glucose, c_{ }h_{ }o_{ }) give reason for thinking that the group c_{ } is the first and simplest of those possible to free carbon, and it may be hoped that some time or other it may be possible to get carbon in this form. perhaps in the diamond there may be found such a relation between the atoms as in the benzene group, and in charcoal such as in carbohydrates. [ ] when charcoal burns, the complex molecule c_{_n_} is resolved into the simple molecules _n_co_{ }, and therefore part of the heat--probably no small amount--is expended in the destruction of the complex molecule c_{_n_}. perhaps by burning the most complex substances, which are the poorest as regards hydrogen, it may be possible to form an idea of the work required to split up c_{_n_} into separate atoms. no other two elements are capable of combining together in such variety as carbon and hydrogen. the hydrocarbons of the c_{_n_}h_{ _m_} series in many cases differ widely from each other, although they have some properties in common. all hydrocarbons, whether gaseous, liquid or solid, are combustible substances sparingly soluble or insoluble in water. the liquefied gaseous hydrocarbons, as well as those which are liquid at ordinary temperatures, and those solid hydrocarbons which have been liquefied by fusion, have the appearance and property of oily liquors, more or less viscid, or fluid.[ ] the solid hydrocarbons more or less resemble wax in their properties, although ordinary oils and wax generally contain oxygen in addition to carbon and hydrogen, but in relatively small proportion. there are also many hydrocarbons which have the appearance of tar--as, for instance, metacinnamene and gutta-percha. those liquid hydrocarbons which boil at a high temperature are like oils, and those which have a low boiling point resemble ether, whilst the gaseous hydrocarbons in many of their properties are akin to hydrogen. all this tends to show that in hydrocarbons physically considered the properties of solid non-volatile charcoal are strongly modified and hidden, whilst those of the hydrogen predominate. all hydrocarbons are neutral substances (neither basic nor acid), but under certain conditions they enter into peculiar reactions. it has been seen in those hydrogen compounds which have been already considered (water, nitric acid, ammonia) that the hydrogen in almost all cases enters into reaction, being displaced by metals. the hydrogen of the hydrocarbons, it may be said, has no metallic character that is to say, it is not directly[ ] displaced by metals, even by such as sodium and potassium. on the application of more or less heat all hydrocarbons decompose[ ] forming charcoal and hydrogen. the majority of hydrocarbons do not combine with the oxygen of the air or oxidise at ordinary temperatures, but under the action of nitric acid and many other oxidising substances most of them undergo oxidation, in which either a portion of the hydrogen and carbon is separated, or the oxygen enters into combination, or else the elements of hydrogen peroxide enter into combination with the hydrocarbon.[ ] when heated in air, hydrocarbons burn, and, according to the amount of carbon they contain, their combustion is attended more or less with a separation of soot--that is, finely divided charcoal--which imparts great brilliancy to the flame, and on this account many of them are used for the purposes of illumination--as, for instance, kerosene, coal gas, oil of turpentine. as hydrocarbons contain reducing elements (that is, those capable of combining with oxygen), they often act as reducing agents--as, for instance, when heated with oxide of copper, they burn, forming carbonic anhydride and water, and leave metallic copper. gerhardt proved that all hydrocarbons contain an even number of hydrogen atoms. therefore, the general formula for all hydrocarbons is c_{_n_}h_{ _m_} where _n_ and _m_ are whole numbers. this fact is known as _the law of even numbers_. hence, the simplest possible hydrocarbons ought to be: ch_{ }, ch_{ }, ch_{ } ... c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ } ... but they do not all exist, since the quantity of h which can combine with a certain amount of carbon is limited, as we shall learn directly. [ ] the viscosity, or degree of mobility, of liquids is determined by their internal friction. it is estimated by passing the liquids through narrow (capillary) tubes, the mobile liquids passing through with greater facility and speed than the viscid ones. the viscosity varies with the temperature and nature of the liquids, and in the case of solutions changes with the amount of the substance dissolved, but is not proportional to it. so that, for example, with alcohol at ° the viscosity will be , and for a p.c. solution , the viscosity of water being taken as . the volume of the liquid which passes through by experiment (poiseuille) and theory (stokes) is proportional to the time, the pressure, and the fourth power of the diameter of the (capillary) tube, and inversely proportional to the length of the tube; this renders it possible to form comparative estimates of the coefficients of internal friction and viscosity. as the complexity of the molecules of hydrocarbons and their derivatives increases by the addition of carbon (or ch_{ }), so does the degree of viscosity also rise. the extensive series of investigations referring to this subject still await the necessary generalisation. that connection which (already partly observed) ought to exist between the viscosity and the other physical and chemical properties, forces us to conclude that the magnitude of internal friction plays an important part in molecular mechanics. in investigating organic compounds and solutions, similar researches ought to stand foremost. many observations have already been made, but not much has yet been done with them; the bare facts and some mechanical data exist, but their relation to molecular mechanics has not been cleared up in the requisite degree. it has already been seen from existing data that the viscosity at the temperature of the absolute boiling point becomes as small as in gases. [ ] in a number of hydrocarbons and their derivatives such a substitution of metals for the hydrogen may be attained by indirect means. the property shown by acetylene, c_{ }h_{ }, and its analogues, of forming metallic derivatives is in this respect particularly characteristic. judging from the fact that carbon is an acid element (that is, gives an acid anhydride with oxygen), though comparatively slightly acid (for carbonic acid is not at all a strong acid and compounds of chlorine and carbon, even ccl_{ }, are not decomposed by water as is the case with phosphorus chloride and even silicic chloride and boric chloride, although they correspond with acids of but little energy), one might expect to find in the hydrogen of hydrocarbons this faculty for being substituted by metals. the metallic compounds which correspond with hydrocarbons are known under the name of organo-metallic compounds. such, for instance, is zinc ethyl, zn(c_{ }h_{ })_{ }, which corresponds with ethyl hydride or ethane, c_{ }h_{ }, in which two atoms of hydrogen have been exchanged for one of zinc. [ ] gaseous and volatile hydrocarbons decompose when passed through a heated tube. when hydrocarbons are decomposed by heating, the primary products are generally other more stable hydrocarbons, among which are acetylene, c_{ }h_{ }, benzene, c_{ }h_{ }, naphthalene, c_{ }h_{ }, &c. [ ] wagner ( ) showed that when unsaturated hydrocarbons are shaken with a weak ( p.c.) solution of potassium permanganate, kmno_{ }, at ordinary temperatures, they form glycols--for example, c_{ }h_{ } yields c_{ }h_{ }o_{ }. some of the hydrocarbons are capable of combination, whilst others do not show that power. those which contain less hydrogen belong to the former category, and those which, for a given quantity of carbon, contain the maximum amount of hydrogen, belong to the latter. the composition of those last mentioned is expressed by the general formula c_{_n_}h_{ _n_ + }. these so-called _saturated hydrocarbons_ are incapable of combination.[ ] the hydrocarbons ch_{ }, c_{ }h_{ }, c_{ }h_{ }, &c.... do not exist. those containing the maximum amount of hydrogen will be represented by ch_{ } (_n_ = , _n_ + = ), c_{ }h_{ } (_n_ = ), c_{ }h_{ } (n = ), c_{ }h_{ }, &c. this may be termed the _law of limits_. placing this in juxtaposition with the law of even numbers, it is easy to perceive that the possible hydrocarbons can be ranged in series, the terms of which may be expressed by the general formulæ c_{_n_}h_{ _n_+ }, c_{_n_}h_{ _n_}, c_{_n_}h_{ _n_- }, &c.... those hydrocarbons which belong to any one of the series expressible by a general formula are said to be _homologous_ with one another. thus, the hydrocarbons ch_{ }, c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ }, &c.... are members of the limiting (saturated) homologous series c_{_n_}h_{ _n_+ }. that is, the difference between the members of the series is ch_{ }.[ ] not only the composition but also the properties of the members of a series tend to classification in one group. for instance, the members of the series c_{_n_}h_{ _n_+ } are not capable of forming additive compounds, whilst those of the series c_{_n_}h_{ _n_} are capable of combining with chlorine, sulphuric anhydride, &c.; and the members of the c_{_n_}h_{ _n_- } group, belonging to the coal tar series, are easily nitrated (give nitro-compounds, chapter vi.), and have other properties in common. the physical properties of the members of a given homologous series vary in some such manner as this; the boiling point generally rises and the internal friction increases as _n_ increases[ ]--that is, with an increase in the relative amount of carbon and the atomic weight; the specific gravity also regularly changes as _n_ becomes greater.[ ] [ ] my article on this subject appeared in the journal of the st. petersburg academy of sciences in . up to that time, although many additive combinations with hydrocarbons and their derivatives were known, they had not been generalised, and were even continually quoted as cases of substitution. thus the combination of ethylene, c_{ }h_{ }, with chlorine, cl_{ }, was often regarded as a formation of the products of the substitution of c_{ }h_{ }cl and hcl, which it was supposed were held together as the water of crystallisation is in salts. even earlier than this ( , _journal of the petroffsky academy_) i considered similar cases as true compounds. in general, according to the law of limits, an unsaturated hydrocarbon, or its derivative, on combining with _r_x_{ }, gives a substance which is saturated or else approaching the limit. the investigations of frankland with many organo-metallic compounds clearly showed the limit in the case of metallic compounds, which we shall constantly refer to later on. [ ] the conception of homology has been applied by gerhardt to all organic compounds in his classical work, 'traité de chimie organique,' finished in ( vols.), in which he divided all organic compounds into _fatty_ and _aromatic_, which is in principle still adhered to at the present time, although the latter are more often called benzene derivatives, on account of the fact that kekulé, in his beautiful investigations on the structure of aromatic compounds, showed the presence in them all of the 'benzene nucleus,' c_{ }h_{ }. [ ] this is always true for hydrocarbons, but for derivatives of the lower homologues the law is sometimes different; for instance, in the series of saturated alcohols, c_{_n_}h_{ _n_+ }(oh), when _n_ = , we obtain water, h(oh), which boils at °, and whose specific gravity at ° = · ; when _n_ = , wood spirit ch_{ }(oh), which boils at °, and at ° has a specific gravity = · ; when _n_ = , ordinary alcohol, c_{ }h_{ }(oh), boiling at °, specific gravity at ° = · , and with further increase of ch_{ } the specific gravity increases. for the glycols c_{_n_}h_{ _n_}(oh)_{ } the phenomenon of a similar kind is still more striking; at first the temperature of the boiling point and the density increase, and then for higher (more complex) members of the series diminish. the reason for this phenomenon, it is evident, must be sought for in the influence and properties of water, and that strong affinity which, acting between hydrogen and oxygen, determines many of the exceptional properties of water (chapter i.). [ ] as, for example, in the saturated series of hydrocarbons c_{_n_}h_{ _n_+ }, the lowest member (_n_ = ) must be taken as hydrogen h_{ }, a gas which (_t.c._ below - °) is liquefied with great difficulty, and when in a liquid state has doubtless a very small density. where _n_ = , , , the hydrocarbons ch_{ }, c_{ }h_{ }, c_{ }h_{ } are gases, more and more readily liquefiable. the temperature of the absolute boiling point for ch_{ } =- °, and for ethane c_{ }h_{ }, and in the higher members it rises. the hydrocarbon c_{ }h_{ }, liquefies at about °. c_{ }h_{ } (there are several isomers) boils at from + ° (lvoff) to °, c_{ }h_{ } from ° to °, &c. the specific gravities in a liquid state at ° are:-- c_{ }h_{ } c_{ }h_{ } c_{ }h_{ } c_{ }h_{ } c_{ }h_{ } · · · · · many of the hydrocarbons met with in nature are the products of organisms, and do not belong to the mineral kingdom. a still greater number are produced artificially. these are formed by what is termed the combination of residues. for instance, if a mixture of the vapours of hydrogen sulphide and carbon bisulphide be passed through a tube in which copper is heated, this latter absorbs the sulphur from both the compounds, and the liberated carbon and hydrogen combine to form a hydrocarbon, methane. if carbon be combined with any metal and this compound mc_{_n_} be treated with an acid hx, then the haloid x will give a salt with the metal and the residual carbon and hydrogen will give a hydrocarbon. thus cast iron which contains a compound of iron and carbon gives liquid hydrocarbons like naphtha under the action of acids. if a mixture of bromo-benzene, c_{ }h_{ }br, and ethyl bromide, c_{ }h_{ }br, be heated with metallic sodium, the sodium combines with the bromine of both compounds, forming sodium bromide, nabr. from the first combination the group c_{ }h_{ } remains, and from the second c_{ }h_{ }. having an odd number of hydrogen atoms, they, in virtue of the law of even numbers, cannot exist alone, and therefore combine together forming the compound c_{ }h_{ }.c_{ }h_{ } or c_{ }h_{ } (ethylbenzene). hydrocarbons are also produced by the breaking up of more complex organic or hydrocarbon compounds, especially by heating--that is, by dry distillation. for instance, gum-benzoin contains an acid called benzoic acid, c_{ }h_{ }o_{ }, the vapours of which, when passed through a heated tube, split up into carbonic anhydride, co_{ }, and benzene, c_{ }h_{ }. carbon and hydrogen only unite directly in one ratio of combination--namely, to form acetylene, having the composition c_{ }h_{ }, which, as compared with other hydrocarbons, exhibits a very great stability at a somewhat high temperature.[ ] [ ] if, at the ordinary temperature (assuming therefore that the water formed will be in a liquid state) a gram molecule ( grams) of acetylene, c_{ }h_{ }, be burnt, thousand calories will be emitted (thomsen), and as grams of charcoal produce thousand calories, and grams of hydrogen thousand calories, it follows that, if the hydrogen and carbon of the acetylene were burnt there would be only × + , or thousand calories produced. it is evident, then, that acetylene in its formation absorbs - , or thousand calories. for considerations relative to the combustion of carbon compounds, we will first enumerate the quantity of heat separated by the combustion of definite chemical carbon compounds, and then give a few figures bearing on the kinds of fuel used in practice. for molecular quantities in perfect combustion the following amounts of heat are given out (when gaseous carbonic anhydride and liquid water are formed), according to thomsen's data ( ) for gaseous c_{_n_}h_{ _n_ + }: · + · _n_ thousand calories; ( ) for c_{_n_}h_{ _n_}: · + · _n_ thousand calories; ( ) according to stohmann ( ) for liquid saturated alcohols, c_{_n_}h_{ _n_ + }o: · + · _n_, and as the latent heat of evaporation = about · + · _n_, in a gaseous state, · + · _n_; ( ) for monobasic saturated liquid acids, c_{_n_}h_{ _n_}o_{ }:-- · + · _n_, and as their latent heat of evaporation is about · + · _n_, in a gaseous form, about-- + _n_; ( ) for solid saturated bibasic acids, c_{_n_}h_{ _n_- }o_{ }:-- · + · _n_, if they are expressed as c_{_n_}h_{ _n_}c_{ }h_{ }o_{ }, then · + · _n_; ( ) for benzene and its liquid homologues (still according to stohmann) c_{_n_}h_{ _n_- }:-- · + · _n_, and in a gaseous form about-- + _n_; ( ) for the gaseous homologues of acetylene, c_{_n_}h_{ _n_- } (according to thomsen)-- + _n_. it is evident from the preceding figures that the group ch_{ }, or ch_{ } substituted for h, on burning gives out from to thousand calories. this is less than that given out by c + h_{ }, which is + or thousand; the reason for this difference (it would be still greater if carbon were gaseous) is the amount of heat separated during the formation of ch_{ }. according to stohmann, for dextroglucose, c_{ }h_{ }o_{ }, it is · ; for common sugar, c_{ }h_{ }o_{ }, · ; for cellulose, c_{ }h_{ }o_{ }, · ; starch, · ; dextrin, · ; glycol, c_{ }h_{ }o_{ }, · ; glycerine, · , &c. the heat of combustion of the following solids (determined by stohmann) is expressed per unit of weight: naphthalene, c_{ }h_{ }, , ; urea, cn_{ }h_{ }o, , ; white of egg, , ; dry rye bread, , ; wheaten bread, , ; tallow, , ; butter, , ; linseed oil, , . the most complete collection of arithmetical data for the heats of combustion will be found in v. f. longinin's work, 'description of the various methods of determining the heats of combustion of organic compounds' (moscow, ). the number of units of heat given out by _unit weight_ during the complete combustion and cooling of the following ordinary kinds of fuel in their usual state of dryness and purity are:--( ) for wood charcoal, anthracite, semi-anthracite, bituminous coal and coke, from , to , ; ( ) dry, long flaming coals, and the best brown coals, from , to , ; ( ) perfectly dry wood, , ; hardly dry, , ; ( ) perfectly dry peat, best kind, , ; compressed and dried, , ; ( ) petroleum refuse and similar liquid hydrocarbons, about , ; ( ) illuminating gas of the ordinary composition (about vols. h, vols. ch_{ }, vols. co, and vols. n), about , ; ( ) producer gas (_see_ next chapter), containing vols. carbonic anhydride, vols. carbonic oxide, and vols. nitrogen _for one part by weight of the whole carbon burnt_, , , and for one part by weight of the gas, , units of heat; and ( ) water gas (_see_ next chapter) containing vols. carbonic anhydride, vols. n_{ }, vols. carbonic oxide, and vols. h_{ }, for one part by weight of the carbon consumed in the _generator_ , , and for one part by weight of the gas, , units of heat. in these figures, as in all calorimetric observations, the water produced by the combustion of the fuel is supposed to be liquid. as regards the temperature reached by the fuel, it is important to remark that for solid fuel it is indispensable to admit (to ensure complete combustion) twice the amount of air required, but liquid, or pulverised fuel, and especially gaseous fuel, does not require an excess of air; therefore, a kilogram of charcoal, giving , units of heat, requires about kilograms of air ( kilograms of air per thousand calories) and a kilogram of producer gas requires only · kilogram of air ( · kilo. of air per , calories), kilogram of water gas about · of air ( · kilo. of air per , calories). there is one substance known among the saturated hydrocarbons composed of atom of carbon and atoms of hydrogen; this is a compound containing the highest percentage of hydrogen (ch_{ } contains per cent. of hydrogen), and at the same time it is the only hydrocarbon whose molecule contains but a single atom of carbon. this saturated hydrocarbon, ch_{ }, is called _marsh gas_ or _methane_. if vegetable or animal refuse suffers decomposition in a space where the air has not free access, or no access at all, then the decomposition is accompanied with the formation of marsh gas, and this either at the ordinary temperature, or at a comparatively much higher one. on this account _plants_, when decomposing under water in _marshes_, give out this gas.[ bis] it is well known that if the mud in bogs be stirred up, the act is accompanied with the evolution of a large quantity of gas bubbles; these may, although slowly, also separate of their own accord. the gas which is evolved consists principally of marsh gas.[ ] if wood, coal, or many other vegetable or animal substances are decomposed by the _action of heat_ without access of air--that is, are subjected to dry distillation--they, in addition to many other gaseous products of decomposition (carbonic anhydride, hydrogen, and various other substances), evolve a great deal of methane. generally the gas which is used for lighting purposes is obtained by this means and therefore always contains marsh gas, mixed with dry hydrogen and other vapours and gases, although it is subsequently purified from many of them.[ ] as the decomposition of the organic matter, which forms coal, is still going on underground, the evolution of large quantities of marsh gas frequently occurs in coal-mines.[ ] when mixed with air it forms an explosive mixture, which forms one of the great dangers of coal mining, as subterranean work has always to be carried on by lamp-light. this danger is, however, overcome by the use of humphry davy's safety lamp.[ ] sir humphry davy observed that on introducing a piece of wire gauze into a flame, it absorbs so much heat that combustion does not proceed beyond it (the unburnt gases which pass through it may be ignited on the other side). in accordance with this, the flame of the davy lamp is surrounded with a thick glass (as shown in the drawing), and has no communication whatever with the explosive mixture except through a wire gauze which prevents it igniting the mixture of the marsh-gas issuing from the coal with air. in some districts, particularly in those where petroleum is found--as, for instance, near baku, where a temple of the indian fire-worshippers was built, and in pennsylvania, and other places--marsh gas in abundance issues from the earth, and it is used, like coal gas, for the purposes of lighting and warming.[ ] tolerably pure marsh gas[ ] may be obtained by heating a mixture of an acetate with an alkali. acetic acid, c_{ }h_{ }o_{ }, on being heated is decomposed into marsh gas and carbonic anhydride, c_{ }h_{ }o_{ } = ch_{ } + co_{ }. [ bis] manure which decomposes under the action of bacteria gives off co_{ } and ch_{ }. [ ] it is easy to collect the gas which is evolved in marshy places if a glass bottle be inverted in the water and a funnel put into it (both filled with water); if the mud of the bottom be now agitated, the bubbles which rise may be easily caught by the inverted funnel. [ ] [illustration: fig. .--general view of gas works. _b_, retorts; _f_, hydraulic main; _h_ and _i_, tar well; _i_, condensers; _l_, purifiers; _p_, gasholder.] illuminating gas is generally prepared by heating gas coal (_see_ note ) in oval cylindrical horizontal cast-iron or clay retorts. several such retorts _bb_ (fig. ) are disposed in the furnace _a_, and heated together. when the retorts are heated to a red heat, lumps of coal are thrown into them, and they are then closed with a closely fitting cover. the illustration shows the furnace, with five retorts. coke (_see_ note , dry distillation) remains in the retorts, and the volatile products in the form of vapours and gases travel along the pipe _d_, rising from each retort. these pipes branch above the stove, and communicate with the receiver _f_ (hydraulic main) placed above the furnace. those products of the dry distillation which most easily pass from the gaseous into the liquid and solid states collect in the hydraulic main. from the hydraulic main the vapours and gases travel along the pipe _g_ and the series of vertical pipes _j_ (which are sometimes cooled by water trickling over the surface), where the vapours and gases cool from the contact of the colder surface, and a fresh quantity of vapour condenses. the condensed liquids pass from the pipes _g_ and _j_ and into the troughs _h_. these troughs always contain liquid at a constant level (the excess flowing away) so that the gas cannot escape, and thus they form, as it is termed, a hydraulic joint. in the state in which it leaves the condensers the gas consists principally of the following vapours and gases: ( ) vapour of water, ( ) ammonium carbonate, ( ) liquid hydrocarbons, ( ) hydrogen sulphide, h_{ }s, ( ) carbonic anhydride, co_{ }, ( ) carbonic oxide, co, ( ) sulphurous anhydride, so_{ }, but a great part of the illuminating gas consists of ( ) hydrogen, ( ) marsh gas, ( ) olefiant gas, c_{ }h_{ }, and other gaseous hydrocarbons. the hydrocarbons ( , , and ), the hydrogen, and carbonic oxide are capable of combustion, and are useful component parts, but the carbonic anhydride, the hydrogen sulphide, and sulphurous anhydride, as well as the vapours of ammonium carbonate, form an injurious admixture, because they do not burn (co_{ }, so_{ }) and lower the temperature and brilliancy of the flame, or else, although capable of burning (for example, h_{ }s, cs_{ }, and others), they give out during combustion sulphurous anhydride which has a disagreeable smell, is injurious when inhaled, and spoils many surrounding objects. in order to separate the injurious products, the gas is washed with water, a cylinder (not shown in the illustration) filled with coke continually moistened with water serving for this purpose. the water coming into contact with the gas dissolves the ammonium carbonate; hydrogen sulphide, carbonic anhydride, and sulphurous anhydride, being only partly soluble in water, have to be got rid of by a special means. for this purpose the gas is passed through moist lime or other alkaline liquid, as the above-mentioned gases have acid properties and are therefore retained by the alkali. in the case of lime, calcium carbonate, sulphite and sulphide, all solid substances, are formed. it is necessary to renew the purifying material as its absorbing power decreases. a mixture of lime and sulphate of iron, feso_{ }, acts still better, because the latter, with lime, ca(ho)_{ }, forms ferrous hydroxide, fe(ho)_{ } and gypsum, caso_{ }. the suboxide (partly turning into oxide) of iron absorbs h_{ }s, forming fes and h_{ }o, and the gypsum retains the remainder of the ammonia, the excess of lime absorbing carbonic anhydride and sulphuric anhydride. [in english works a native hydrated ferric hydroxide is used for removing hydrogen sulphide.] this purification of the gas takes place in the apparatus _l_, where the gas passes through perforated trays _m_, covered with sawdust mixed with lime and sulphate of iron. it is necessary to remark that in the manufacture of gas it is indispensable to draw off the vapours from the retorts, so that they should not remain there long (otherwise the hydrocarbons would in a considerable degree be resolved into charcoal and hydrogen), and also to avoid a great pressure of gas in the apparatus, otherwise a quantity of gas would escape at all cracks such as must inevitably exist in such a complicated arrangement. for this purpose there are special pumps (exhausters) so regulated that they only pump off the quantity of gas formed (the pump is not shown in the illustration). the purified gas passes through the pipe _n_ into the gasometer (gasholder) _p_, a dome made of iron plate. the edges of the dome dip into water poured into a ring-shaped channel _g_, in which the sides of the dome rise and fall. the gas is collected in this holder, and distributed to its destination by pipes communicating with the pipe _o_, issuing from the dome. the pressure of the dome on the gas enables it, on issuing from a long pipe, to penetrate through the small aperture of the burner. a hundred kilograms of coal give about to cubic metres of gas, having a density from four to nine times greater than that of hydrogen. a cubic metre ( , litres) of hydrogen weighs about grams; therefore kilograms of coal give about kilograms of gas, or about one-sixth of its weight. illuminating gas is generally lighter than marsh gas, as it contains a considerable amount of hydrogen, and is only heavier than marsh gas when it contains much of the heavier hydrocarbons. thus olefiant gas, c_{ }h_{ }, is fourteen times, and the vapours of benzene thirty-nine times, heavier than hydrogen, and illuminating gas sometimes contains p.c. of its volume of them. the brilliancy of the flame of the gas increases with the quantity of olefiant gas and similar heavy hydrocarbons, as it then contains more carbon for a given volume and a greater number of carbon particles are separated. gas usually contains from to p.c. of its volume of marsh gas, from to p.c. of hydrogen, from to p.c. of carbonic oxide, from to p.c. heavy hydrocarbons, and from to p.c. of nitrogen. wood gives almost the same sort of gas as coal and almost the same quantity, but the wood gas contains a great deal of carbonic anhydride, although on the other hand there is an almost complete absence of sulphur compounds. tar, oils, naphtha, and such materials furnish a large quantity of good illuminating gas. an ordinary burner of to candle-power burns to cubic feet of coal gas per hour, but only cubic foot of naphtha gas. one pood ( lbs. eng.) of naphtha gives cubic feet of gas--that is, one kilogram of naphtha produces about one cubic metre of gas. the formation of combustible gas by heating coal was discovered in the beginning of the last century, but only put into practice towards the end by le-bon in france and murdoch in england. in england, murdoch, together with the renowned watt, built the first gas works in . [illustration: fig. .--blowpipe. air is blown in at the trumpet-shaped mouthpiece, and escapes in a fine stream from the platinum jet placed at the extremity of the side tube.] [illustration: fig. .--davy safety-lamp. [modern form.]] in practice illuminating gas is not only used for lighting (electricity and kerosene are cheaper in russia), but also as the motive power for gas engines (_see_ p. ), which consume about half a cubic metre per horse-power per hour; gas is also used in laboratories for heating purposes. when it is necessary to concentrate the heat, either the ordinary blowpipe (fig. ) is applied, placing the end in the flame and blowing through the mouthpiece; or, in other forms, gas is passed through the blowpipe; when a large, hot, smokeless flame is required for heating crucibles or glass-blowing, a foot-blower is used. high temperatures, which are often required for laboratory and manufacturing purposes, are most easily attained by the use of gaseous fuel (illuminating gas, producer gas, and water gas, which will be treated of in the following chapter), because complete combustion may be effected without an access of air. it is evident that in order to obtain high temperatures means must be taken to diminish the loss of heat by radiation, and to ensure perfect combustion. [ ] the gas which is set free in coal mines contains a good deal of nitrogen, some carbonic anhydride, and a large quantity of marsh gas. the best means of avoiding an explosion consists in efficient ventilation. it is best to light coal mines with electric lamps. [ ] the davy lamp, of which an improved form is represented in the accompanying figure, is used for lighting coal and other mines where combustible gas is found. the wick of the lamp is enclosed in a thick glass cylinder which is firmly held in a metallic holder. over this a metallic cylinder and the wire gauze are placed. the products of combustion pass through the gauze, and the air enters through the space between the cylinder and the wire gauze. to ensure greater safety the lamp cannot be opened without extinguishing the flame. [ ] in pennsylvania (beyond the alleghany mountains) many of the shafts sunk for petroleum only emitted gas, but many useful applications for it were found and it was conducted in metallic pipes to works hundreds of miles distant, principally for metallurgical purposes. [ ] the purest gas is prepared by mixing the liquid substance called zinc methyl, zn(ch_{ })_{ }, with water, when the following reaction occurs: zn(ch_{ })_{ } + hoh = zn(ho)_{ } + ch_{ }h. an alkali--for instance, naho--gives with acetic acid a salt, c_{ }h_{ }nao_{ }, which on decomposition retains carbonic anhydride, forming a carbonate, na_{ }co_{ }, and marsh gas is given off: c_{ }h_{ }nao_{ } + naho = na_{ }co_{ } + ch_{ } marsh gas is difficult to liquefy; it is almost insoluble in water, and is without taste or smell. the most important point in connection with its chemical reactions is that it does not combine directly with anything, whilst the other hydrocarbons which contain less hydrogen than expressed by the formula c_{_n_}h_{ _n_ + } are capable of combining with hydrogen, chlorine, certain acids, &c. if the law of substitution gives a very simple explanation of the formation of hydrogen peroxide as a compound containing two aqueous residues (oh)(oh), then on the basis of this law all hydrocarbons ought to be derived from methane, ch_{ }, as being the simplest hydrocarbon.[ ] the increase in complexity of a molecule of methane is brought about by the faculty of mutual combination which exists in the atoms of carbon, and, as a consequence of the most detailed study of the subject, much that might have been foreseen and conjectured from the law of substitution has been actually brought about in such a manner as might have been predicted, and although this subject on account of its magnitude really belongs, as has been already stated, to the sphere of organic chemistry, it has been alluded to here in order to show, although only in part, the best investigated example of the application of the law of substitution. according to this law, a molecule of methane, ch_{ }, is capable of undergoing substitution in the four following ways:--( ) methyl substitution, when the radicle, equivalent to hydrogen, called _methyl_ ch_{ }, replaces hydrogen. in ch_{ } this radicle is combined with h and therefore can replace it, as (oh) replaces h because with it it gives water; ( ) methylene substitution, or the exchange between h_{ } and ch_{ } (this radicle is called methylene), is founded on a similar division of the molecule ch_{ } into two equivalent parts, h_{ } and ch_{ }; ( ) acetylene substitution, or the exchange between ch on the one hand and h_{ } on the other; and ( ) carbon substitution--that is, the substitution of h_{ } by an atom of carbon c, which is founded on the law of substitution just as is the methyl substitution. these four cases of substitution render it possible to understand the principal relations of the hydrocarbons. for instance, the _law of even numbers_ is seen from the fact that in all the cases of substitution mentioned the hydrogen atoms increase or decrease by an even number; but as in ch_{ } they are likewise even, it follows that no matter how many substitutions are effected there will always be obtained an even number of hydrogen atoms. when h is replaced by ch_{ } there is an increase of ch_{ }; when h_{ } is replaced by ch_{ } there is no increase of hydrogen; in the acetylene substitution ch replaces h_{ }, therefore there is an increase of c and a decrease of h_{ }; in the carbon substitution there is a decrease of h_{ }. in a similar way the _law of limit_ may be deduced as a corollary of the law of substitution. for the largest possible quantity of hydrogen is introduced by the methyl substitution, since it leads to the addition of ch_{ }; starting from ch_{ } we obtain c_{ }h_{ }, c_{ }h_{ }, and in general, c_{_n_}h_{ _n_+ }, and these contain the greatest possible amount of hydrogen. unsaturated hydrocarbons, containing less hydrogen, are evidently only formed when the increase of the new molecule derived from methane proceeds from one of the other forms of substitution. when the methyl substitution alone takes place in methane, ch_{ }, it is evident that the saturated hydrocarbon formed is c_{ }h_{ } or (ch_{ })(ch_{ }).[ ] this is called _ethane_. by means of the methylene substitution alone, _ethylene_, c_{ }h_{ }, or (ch_{ })(ch_{ }) may be directly obtained from ch_{ }, and by the acetylene substitution c_{ }h_{ } or (ch)(ch), or _acetylene_, both the latter being unsaturated hydrocarbons. thus we have all the possible hydrocarbons with two atoms of carbon in the molecule, c_{ }h_{ }, ethane, c_{ }h_{ }, ethylene, and c_{ }h_{ }, acetylene. but in them, according to the law of substitution, the same forms of substitution may be repeated--that is, the methyl, methylene, acetylene, and even carbon substitutions (because c_{ }h_{ } will still contain hydrogen when c replaces h_{ }) and therefore further substitutions will serve as a source for the production of a fresh series of saturated and unsaturated hydrocarbons, containing more and more carbon in the molecule and, in the case of the acetylene substitution and carbon substitution, containing less and less hydrogen. thus _by means of the law of substitution we can foresee_ not only the limit c_{_n_}h_{ _n_+ }, but an unlimited number of unsaturated hydrocarbons, c_{_n_}h_{ _n_}, c_{_n_}h_{ _n_- } ... c_{_n_}h_{ (_n-m_)}, where _m_ varies from to _n_- ,[ ] and where _n_ increases indefinitely. from these facts not only does the existence of a multitude of polymeric hydrocarbons, differing in molecular weight, become intelligible, but it is also seen that there is a possibility of cases of isomerism with the same molecular weight. this _polymerism_ so common to hydrocarbon compounds is already apparent in the first unsaturated series c_{_n_}h_{ _n_}, because all the terms of this series c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ } ... c_{ }h_{ } ... have one and the same composition ch_{ }, but different molecular weights, as has been already explained in chapter vii. the differences in the vapour density, boiling points, and melting points, of the quantities entering into reactions,[ ] and the methods of preparation[ ] also so clearly tally with the conception of polymerism, that this example will always be the clearest and most conclusive for the illustration of polymerism and molecular weight. such a case is also met with among other hydrocarbons. thus benzene, c_{ }h_{ }, and cinnamene, c_{ }h_{ }, correspond with the composition of acetylene or to a compound of the composition ch.[ ] the first boils at °, the second at °; the specific gravity of the first is · ; that of the second, · , at °--that is, here also the boiling point rises with the increase of molecular weight, and so also, as might be expected, does the density. [ ] methylene, ch_{ }, does not exist. when attempts are made to obtain it (for example, by removing x_{ } from ch_{ }x_{ }), c_{ }h_{ } or c_{ }h_{ } are produced--that is to say, it undergoes polymerisation. [ ] although the methods of formation and the reactions connected with hydrocarbons are not described in this work, because they are dealt with in organic chemistry, yet in order to clearly show the mechanism of those transformations by which the carbon atoms are built up into the molecules of the carbon compounds, we here give a general example of reactions of this kind. from marsh gas, ch_{ }, on the one hand the substitution of chlorine or iodine, ch_{ }cl, ch_{ }i, for the hydrogen may be effected, and on the other hand such metals as sodium may be substituted for the hydrogen, _e.g._ ch_{ }na. these and similar products of substitution serve as a means of obtaining other more complex substances from given carbon compounds. if we place the two above-named products of substitution of marsh gas (metallic and haloid) in mutual contact, the metal combines with the halogen, forming a very stable compound--namely, common salt, nacl, and the carbon groups which were in combination with them separate in mutual combination, as shown by the equation: ch_{ }cl + ch_{ }na = nacl + c_{ }h_{ }. this is the most simple example of the formation of a complex hydrocarbon from these radicles. the cause of the reaction must be sought for in the property which the haloid (chlorine) and sodium have of entering into mutual combination. [ ] when _m_ = _n_- , we have the series c_{_n_}h_{ }. the lowest member is acetylene, c_{ }h_{ }. these are hydrocarbons containing a minimum amount of hydrogen. [ ] for instance, ethylene, c_{ }h_{ }, combines with br_{ }, hi, h_{ }so_{ }, as a whole molecule, as also does amylene, c_{ }h_{ }, and, in general, c_{_n_}h_{ _n_}. [ ] for instance, ethylene is obtained by removing the water from ethyl alcohol, c_{ }h_{ }(oh), and amylene, c_{ }h_{ }, from amyl alcohol, c_{ }h_{ }(oh), or in general c_{_n_}h_{ _n_}, from c_{_n_}h_{ _n_+ }(oh). [ ] acetylene and its polymerides have an empirical composition ch, ethylene and its homologues (and polymerides) ch_{ }, ethane ch_{ }, methane ch_{ }. this series presents a good example of the law of multiple proportions, but such diverse proportions are met with between the number of atoms of the carbon and hydrogen in the hydrocarbons already known that the accuracy of dalton's law might be doubted. thus the substances c_{ }h_{ } and c_{ }h_{ } differ so slightly in their composition by weight as to be within the limits of experimental error, but their reactions and properties are so distinct that they can be distinguished beyond a doubt. without dalton's law chemistry could not have been brought to its present condition, but it cannot alone express all those gradations which are quite clearly understood and predicted by the law of avogadro-gerhardt. cases of isomerism in the restricted sense of the word--that is, when with an identity of composition and of molecular weight, the properties of the substances are different--are very numerous among the hydrocarbons and their derivatives. such cases are particularly important for the comprehension of molecular structure and they also, like the polymerides, may be predicted from the above-mentioned conceptions, expressing the principles of the structure of the carbon compounds[ ] based on the law of substitution. according to it, for example, it is evident that there can be no isomerism in the cases of the saturated hydrocarbons c_{ }h_{ } and c_{ }h_{ }, because the former is ch_{ }, in which methyl has taken the place of h, and as all the hydrogen atoms of methane must be supposed to have the same relation to the carbon, it is all the same which of them be subjected to the methyl substitution--the resulting product can only be ethane, ch_{ }ch_{ };[ ] the same argument also applies in the case of propane, ch_{ }ch_{ }ch_{ }, where one compound only can be imagined. it is to be expected, however, that there should be two butanes, c_{ }h_{ }, and this is actually the case. in one, methyl may be considered as replacing the hydrogen of one of the methyls, ch_{ }ch_{ }ch_{ }ch_{ }; and in the other ch_{ } may be considered as substituted for h in /ch_{ } ch_{ }, and there it will consist of ch_{ }ch. the latter may \ch_{ } also be regarded as methane in which three of hydrogen are exchanged for three of methyl. on going further in the series it is evident that the number of possible isomerides will be still greater, but we have limited ourselves to the simplest examples, showing the possibility and actual existence of isomerides. c_{ }h_{ } and ch_{ }ch_{ } are, it is evident, identical; but there ought to be, and are, two hydrocarbons of the composition c_{ }h_{ }, propylene and trimethylene; the first is ethylene, ch_{ }ch_{ }, in which one atom of hydrogen is exchanged for methyl, ch_{ }chch_{ }, and trimethylene is ethane, ch_{ }ch_{ }, with the substitution of methylene for two hydrogen atoms from two methyl groups--that /ch_{ } is, ch_{ },[ ] where the methylene introduced is united to both \ch_{ } the atoms of carbon in ch_{ }ch_{ }. it is evident that the cause of isomerism here is, on the one hand, the difference of the amount of hydrogen in union with the particular atoms of carbon, and, on the other, the different connection between the several atoms of carbon. in the first case they may be said to be chained together (more usually to form an 'open chain'), and in the second case, to be locked together (to form a 'closed chain' or 'ring'). here also it is easily understood that on increasing the quantity of carbon atoms the number of possible and existing isomerides will greatly increase. if, at the same time, in addition to the substitution of one of the radicles of methane for hydrogen a further exchange of part of the hydrogen for some of the other groups of elements x, y ... occurs, the quantity of possible isomerides still further increases in a considerable degree. for instance, there are even two possible isomerides for the derivatives of ethane, c_{ }h_{ }: if two atoms of the hydrogen be exchanged for x_{ }, one will have the ethylene structure, ch_{ }xch_{ }x, and the other an ethylidene structure, ch_{ }chx_{ }; such are, for instance, ethylene chloride, ch_{ }clch_{ }cl, and ethylidene chloride, ch_{ }chcl_{ }. and as in the place of the first atom of hydrogen not only metals may be substituted, but cl, br, i, oh (the water radicle), nh_{ } (the ammonia radicle), no_{ } (the radicle of nitric acid), &c., so also in exchange for two atoms of hydrogen o, nh, s, &c., may be substituted; hence it will be understood that the quantity of isomerides is sometimes very great. it is impossible here to describe how the isomerides are distinguished from each other, in what reactions they occur, how and when one changes into another, &c.; for this, taken together with the description of the hydrocarbons already known, and their derivatives, forms a very extensive and very thoroughly investigated branch of chemistry, called _organic chemistry_. enriched with a mass of closely observed phenomena and strictly deduced generalisations, this branch of chemistry has been treated separately for the reason that in it the hydrocarbon groups are subjected to transformations which are not met with in such quantity in dealing with any of the other elements or their hydrogen compounds. it was important for us to show that notwithstanding the great variety of the hydrocarbons and their products,[ ] they are all of them governed by the law of substitution, and referring our readers for detailed information to works on organic chemistry, we will limit ourselves to a short exposition of the properties of the two simplest unsaturated hydrocarbons: ethylene, ch_{ }ch_{ }, and acetylene, chch, and a short acquaintance with petroleum as the natural source of a mass of hydrocarbons. _ethylene, or olefiant gas_, c_{ }h_{ }, is the lowest known member of the unsaturated hydrocarbon series of the composition c_{_n_}h_{ _n_}. as in composition it is equal to two molecules of marsh gas deprived of two molecules of hydrogen, it is evident that it might be, and it actually can be, produced, although but in small quantities, together with hydrogen, by heating marsh gas. on being heated, however, olefiant gas splits up, first into acetylene and methane ( c_{ }h_{ } = c_{ }h_{ } + ch_{ }, lewes, ), and at a higher temperature into carbon and hydrogen; and therefore in those cases where marsh gas is produced by heating, olefiant gas, hydrogen, and charcoal will also be formed, although only in small quantities. the lower the temperature at which complex organic substances are heated, the greater the quantity of olefiant gas found in the gases given off; at a white heat it is entirely decomposed into charcoal and marsh gas. if coal, wood, and more particularly petroleum, tars, and fatty substances, are subjected to dry distillation, they give off illuminating gas, which contains more or less olefiant gas. [ ] the conception of the structure of carbon compounds--that is, the expression of those unions and correlations which their atoms have in the molecules--was for a long time limited to the representation that organic substances contained complex radicles (for instance, ethyl c_{ }h_{ }, methyl ch_{ }, phenyl c_{ }h_{ }, &c.); then about the year the phenomena of substitution and the correspondence of the products of substitution with the primary bodies (nuclei and types) were observed, but it was not until about the year and later when on the one hand the teaching of gerhardt about molecules was spreading, and on the other hand the materials had accumulated for discussing the transformations of the simplest hydrocarbon compounds, that conjectures began to appear as to the mutual connection of the atoms of carbon in the molecules of the complex hydrocarbon compounds. then kekulé and a. m. butleroff began to formulate the connection between the separate atoms of carbon, regarding it as a quadrivalent element. although in their methods of expression and in some of their views they differ from each other and also from the way in which the subject is treated in this work, yet the essence of the matter--namely, the comprehension of the causes of isomerism and of the union between the separate atoms of carbon--remains the same. in addition to this, starting from the year , there appears a tendency which from year to year increases to discover the actual spacial distribution of the atoms in the molecules. thanks to the endeavours of le-bel ( ), van't hoff ( ), and wislicenus ( ) in observing cases of isomerism--such as the effect of different isomerides on the direction of the rotation of the plane of polarisation of light--this tendency promises much for chemical mechanics, but the details of the still imperfect knowledge in relation to this matter must be sought for in special works devoted to organic chemistry. [ ] direct experiment shows that however ch_{ }x is prepared (where x = for instance cl, &c.) it is always one and the same substance. if, for example, in cx_{ }, x is gradually replaced by hydrogen until ch_{ }x is produced, or in ch_{ }, the hydrogen by various means is replaced by x, or else, for instance, if ch_{ }x be obtained by the decomposition of more complex compounds, the same product is always obtained. this was shown in the year , or thereabout, by many methods, and is the fundamental conception of the structure of hydrocarbon compounds. if the atoms of hydrogen in methyl were not absolutely identical in value and position (as they are not, for instance, in ch_{ }ch_{ }ch_{ } or ch_{ }ch_{ }x), then there would be as many different forms of ch_{ }x as there were diversities in the atoms of hydrogen in ch_{ }. the scope of this work does not permit of a more detailed account of this matter. it is given in works on organic chemistry. [ ] the union of carbon atoms in closed chains or rings was first suggested by kekulé as an explanation of the structure and isomerism of the derivatives of benzene, c_{ }h_{ }, forming aromatic compounds (note ). [ ] the following are the most generally known of the oxygenised but non-nitrogenous hydrocarbon derivatives. ( ) the alcohols. these are hydrocarbons in which hydrogen is exchanged for hydroxyl (oh). the simplest of these is methyl alcohol, ch_{ }(oh), or wood spirit obtained by the dry distillation of wood. the common spirits of wine or ethyl alcohol, c_{ }h_{ }(oh), and glycol, c_{ }h_{ }(oh)_{ }, correspond with ethane. normal propyl alcohol, ch_{ }ch_{ }ch_{ }(oh), and isopropyl alcohol, ch_{ }ch(oh)ch_{ }, propylene-glycol, c_{ }h_{ }(oh)_{ }, and glycerol, c_{ }h_{ }(oh)_{ } (which, with stearic and other acids, forms fatty substances), correspond with propane, c_{ }h_{ }. all alcohols are capable of forming water and ethereal salts with acids, just as alkalis form ordinary salts. ( ) aldehydes are alcohols minus hydrogen; for instance, acetaldehyde, c_{ }h_{ }o, corresponds with ethyl alcohol. ( ) it is simplest to regard organic acids as hydrocarbons in which hydrogen has been exchanged for carboxyl (co_{ }h), as will be explained in the following chapter. there are a number of intermediate compounds; for example, the aldehyde-alcohols, alcohol-acids (or hydroxy-acids), &c. thus the hydroxy-acids are hydrocarbons in which some of the hydrogen has been replaced by hydroxyl, and some by carboxyl; for instance, lactic acid corresponds with c_{ }h_{ }, and has the constitution c_{ }h_{ }(oh)(co_{ }h). if to these products we add the haloid salts (where h is replaced by cl, br, i), the nitro-compounds containing no_{ } in place of h, the amides, cyanides, ketones, and other compounds, it will be readily seen what an immense number of organic compounds there are and what a variety of properties these substances have; this we see also from the composition of plants and animals. olefiant gas, almost free from other gases,[ ] may be obtained from ordinary alcohol (if possible, free from water) if it be mixed with five parts of strong sulphuric acid and the mixture heated to slightly above °. under these conditions, the sulphuric acid removes the elements of water from the alcohol, c_{ }h_{ }(oh), and gives olefiant gas; c_{ }h_{ }o = h_{ }o + c_{ }h_{ }. the greater molecular weight of olefiant gas compared with marsh gas indicates that it may be comparatively easily converted into a liquid by means of pressure or great cold; this may be effected, for example, by the evaporation of liquid nitrous oxide. its absolute boiling point is + °, it boils at - ° ( atmosphere), liquefies at °, at a pressure of atmospheres, and solidifies at - °. ethylene is colourless, has a slight ethereal smell, is slightly soluble in water, and somewhat more soluble in alcohol and in ether (in five volumes of spirit and six volumes of ether).[ ] [ ] ethylene bromide, c_{ }h_{ }br_{ }, when gently heated in alcoholic solution with finely divided zinc, yields pure ethylene, the zinc merely taking up the bromine (sabaneyeff). [ ] ethylene decomposes somewhat easily under the influence of the electric spark, or a high temperature. in this case the volume of the gas formed may remain the same when olefiant gas is decomposed into carbon and marsh gas, or may increase to double its volume when hydrogen and carbon are formed, c_{ }h_{ } = ch_{ } + c = c + h_{ }. a mixture of olefiant gas and oxygen is highly explosive; two volumes of this gas require six volumes of oxygen for its perfect combustion. the eight volumes thus taken then resolve themselves into eight volumes of the products of combustion, a mixture of water and carbonic anhydride, c_{ }h_{ } + o_{ } = co_{ } + h_{ }o. on cooling after the explosion diminution of volume occurs because the water becomes liquid. for two volumes of the olefiant gas taken, the diminution will be equal to four volumes, and the same for marsh gas. the quantity of carbonic anhydride formed by both gases is not the same. two volumes of marsh gas give only two volumes of carbonic anhydride, and two volumes of ethylene give four volumes of carbonic anhydride. like other unsaturated hydrocarbons, olefiant gas readily enters into combination with certain substances, such as chlorine, bromine, iodine, fuming sulphuric acid, or sulphuric anhydride, &c. if olefiant gas be sealed up with a small quantity of sulphuric acid in a glass vessel, and constantly agitated (as, for instance, by attaching it to the moving part of a machine), the prolonged contact and repeated mixing causes the olefiant gas, little by little, to combine with the sulphuric acid, forming c_{ }h_{ }h_{ }so_{ }. if, after this absorption, the sulphuric acid be diluted with water and distilled, alcohol separates, which is produced in this case by the olefiant gas combining with the elements of water, c_{ }h_{ } + h_{ }o = c_{ }h_{ }o. in this reaction (berthelot) we see an excellent example of the fact that if a given substance, like olefiant gas, is produced by the decomposition of another, then in the reverse way this substance, entering into combination, is capable of forming the original substance--in our example, alcohol. in combination with various molecules, x_{ }, ethylene gives saturated compounds, c_{ }h_{ }x_{ } or ch_{ }xch_{ }x (for example, c_{ }h_{ }cl_{ }), which correspond with ethane, ch_{ }ch_{ } or c_{ }h_{ }.[ ] [ ] the homologues of ethylene, c_{_n_}h_{ _n_}, are also capable of direct combination with halogens, &c., but with various degrees of facility. the composition of these homologues can be expressed thus: (ch_{ })__x_(ch_{ })_{_y_}(ch)_{_z_}c_{_r_}, where the sum of _x_ + _z_ is always an even number, and the sum of _x_ + _z_ + _r_ is equal to half the sum of _x_ + _z_, whence _z_ + _r_ = _x_; by this means the possible isomerides are determined. for example, for butylenes, c_{ }h_{ }, (ch_{ })_{ }(ch)_{ }, (ch_{ })_{ }(ch_{ })c, (ch_{ })(ch_{ })_{ }ch, and (ch_{ })_{ } are possible. _acetylene_, c_{ }h_{ } = chch, is a gas; it was first prepared by berthelot ( ). it has a very pungent smell, is characterised by its great stability under the action of heat, and is obtained as the only product of the direct combination of carbon with hydrogen when a luminous arc (voltaic) is formed between carbon electrodes. this arc contains particles of carbon passing from one pole to the other. if the carbons be surrounded with an atmosphere of hydrogen, the carbon in part combines with the hydrogen, forming c_{ }h_{ }.[ bis] acetylene may be formed from olefiant gas if two atoms of hydrogen be taken from it. this may be effected in the following way: the olefiant gas is first made to combine with bromine, giving c_{ }h_{ }br_{ }; from this the hydrobromic acid is removed by means of an alcoholic solution of caustic potash, leaving the volatile product c_{ }h_{ }br; and from this yet another part of hydrobromic acid is withdrawn by passing it through anhydrous alcohol in which metallic sodium has been dissolved, or by heating it with a strong alcoholic solution of caustic potash. under these circumstances (berthelot, sawitsch, miasnikoff) the alkali takes up the hydrobromic acid from c_{_n_}h_{ _n_- }br, forming c_{_n_}h_{ _n_- }. [ bis] _see_ also method of preparing c_{ }h_{ } in note bis. acetylene is also produced in all those cases where organic substances are decomposed by the action of a high temperature--for example, by dry distillation. on this account a certain quantity is always found in coal gas, and gives to it, at all events in part, its peculiar smell, but the quantity of acetylene in coal gas is very small. if the vapour of alcohol be passed through a heated tube a certain quantity of acetylene is formed. it is also produced by the imperfect combustion of olefiant and marsh gas--for example, if the flame of coal gas has not free access to air.[ ] the inner part of every flame contains gases in imperfect combustion, and in them some amount of acetylene. [ ] this is easily accomplished with those gas burners which are used in laboratories and mentioned in the introduction. in these burners the gas is first mixed with air in a long tube, above which it is kindled. but if it be lighted inside the pipe it does not burn completely, but forms acetylene, on account of the cooling effect of the walls of the metallic tube; this is detected by the smell, and may be shown by passing the issuing gas (by aid of an aspirator) into an ammoniacal solution of cuprous chloride. acetylene, being further removed than ethylene from the limit c_{_n_}h_{ _n_+ } of hydrocarbon compounds, has a still greater faculty of combination than is shown by olefiant gas, and therefore can be more readily separated from any mixture containing it. actually, acetylene not only combines with one and two molecules of i_{ }, hi, h_{ }so_{ }, cl_{ }, br_{ }, &c.... (many other unsaturated hydrocarbons combine with them), but also with cuprous chloride, cucl, forming a red precipitate. if a gaseous mixture containing acetylene be passed through an ammoniacal solution of cuprous chloride (or silver nitrate), the other gases do not combine, but the acetylene gives a red precipitate (or grey with silver), which detonates when struck with a hammer. this red precipitate gives off acetylene under the action of acids. in this manner pure acetylene may be obtained. acetylene and its homologues also readily react with corrosive sublimate, hgcl_{ } (koucheroff, favorsky). acetylene burns with a very brilliant flame, which is accounted for by the comparatively large amount of carbon it contains.[ ] [ ] amongst the homologues of acetylene c_{_n_}h_{ _n_- }, the lowest is c_{ }h_{ }; allylene, ch_{ }cch, and allene, ch_{ }cch_{ }, are known, but the closed structure, ch_{ }(ch)_{ }, is little investigated. the formation and existence in nature of large masses of petroleum or a mixture of liquid hydrocarbons, principally of the series c_{_n_}h_{ _n_ + } and c_{_n_}h_{ _n_} is in many respects remarkable.[ ] in some mountainous districts--as, for instance, by the slopes of the caucasian chain, on inclines lying in a direction parallel to the range--an oily liquid issues from the earth together with salt water and hot gases (methane and others); it has a tarry smell and dark brown colour, and is lighter than water. this liquid is called naphtha or rock oil (petroleum) and is obtained in large quantities by sinking wells and deep bore-holes in those places where traces of naphtha are observed, the naphtha being sometimes thrown up from the wells in fountains of considerable height.[ ] the evolution of naphtha is always accompanied by salt water and marsh gas. naphtha has from ancient times been worked in russia in the apsheron peninsula near baku, and is also now worked in burmah (india), in galicia near the carpathians, and in america, especially in pennsylvania and canada, &c. naphtha does not consist of one definite hydrocarbon, but of a mixture of several, and its density, external appearance, and other qualities vary with the amount of the different hydrocarbons of which it is composed. the light kinds of naphtha have a specific gravity about · and the heavy kinds up to · . the former are very mobile liquids, and more volatile; the latter contain less of the volatile hydrocarbons and are less mobile. when the light kinds of naphtha are distilled, the boiling point taken in the vapours constantly changes, beginning at ° and going up to above °. that which passes over first is a very mobile, colourless ethereal liquid (forming gazolene, ligroin, benzoline, &c.), from which the hydrocarbons whose boiling points start from ° may be extracted--namely, the hydrocarbons c_{ }h_{ }, c_{ }h_{ } (which boils at °), c_{ }h_{ } (boils at °), c_{ }h_{ } (boils about °), &c. those fractions of the naphtha distillate which boil above °, and contain hydrocarbons with c_{ }, c_{ }, c_{ }, &c., enter into the composition of the oily substance, universally used for lighting, called kerosene or photogen or photonaphthalene, and by other names. the specific gravity of kerosene is from · to · , and it smells like naphtha. those products of the distillation of naphtha which pass off below ° and have a specific gravity below · , enter into the composition of light petroleum (benzoline, ligroin, petroleum spirit, &c.); which is used as a solvent for india-rubber, for removing grease spots, &c. those portions of naphtha (which can only be distilled without change by means of superheated steam, otherwise they are largely decomposed) which boil above ° and up to ° and have a specific gravity higher than · , form an excellent oil,[ ] safe as regards inflammability (which is very important as diminishing the risks of fire), and may be used in lamps as an effective substitute for kerosene.[ ] those portions of naphtha which pass over at a still higher temperature and have a higher specific gravity than · , which are found in abundance (about p.c.) in the baku naphtha, make excellent lubricating or machine oils. naphtha has many important applications, and the naphtha industry is now of great commercial importance, especially as naphtha and its refuse may be used as fuel.[ ] whether naphtha was formed from organic matter is very doubtful, as it is found in the most ancient silurian strata which correspond with epochs of the earth's existence when there was little organic matter; it could not penetrate from the higher to the lower (more ancient) strata as it floats on water (and water penetrates through all strata). it therefore tends to rise to the surface of the earth, and it is always found in highlands parallel to the direction of the mountains.[ ] much more probably its formation may be attributed to the action of water penetrating through the crevasses formed on the mountain slopes and reaching to the heart of the earth, to that kernel of heated metallic matter which must be accepted as existing in the interior of the earth. and as meteoric iron often contains carbon (like cast iron), so, accepting the existence of such carburetted iron at unattainable depths in the interior of the earth, it may be supposed that naphtha was produced by the action of water penetrating through the crevices of the strata during the upheaval of mountain chains,[ ] because water with iron carbide ought to give iron oxide and hydrocarbons.[ ] direct experiment proves that the so-called _spiegeleisen_ (manganiferous iron, rich in chemically combined carbon) when treated with acids gives liquid hydrocarbons[ ] which in composition, appearance, and properties are completely identical with naphtha.[ ] [ ] the saturated hydrocarbons predominate in american petroleum, especially in its more volatile parts; in baku naphtha the hydrocarbons of the composition c_{_n_}h_{ _n_} form the main part (lisenko, markovnikoff, beilstein) but doubtless (mendeléeff) it also contains saturated ones, c_{_n_}h_{ _n_+ }. the structure of the naphtha hydrocarbons is only known for the lower homologues, but doubtless the distinction between the hydrocarbons of the pennsylvanian and baku naphthas, boiling at the same temperature (after the requisite refining by repeated fractional distillation, which can be very conveniently done by means of steam rectification--that is, by passing the steam through the dense mass), depends not only on the predominance of saturated hydrocarbons in the former, and naphthenes, c_{_n_}h_{ _n_}, in the latter, but also on the diversity of composition and structure of the corresponding portions of the distillation. the products of the baku naphtha are richer in carbon (therefore in a suitably constructed lamp they ought to give a brighter light), they are of greater specific gravity, and have greater internal friction (and are therefore more suitable for lubricating machinery) than the american products collected at the same temperature. [ ] the formation of naphtha fountains (which burst forth after the higher clay strata covering the layers of sands impregnated with naphtha have been bored through) is without doubt caused by the pressure or tension of the combustible hydrocarbon gases which accompany the naphtha, and are soluble in it under pressure. sometimes these naphtha fountains reach a height of metres--for instance, the fountain of near baku. naphtha fountains generally act periodically and their force diminishes with the lapse of time, which might be expected, because the gases which cause the fountains find an outlet, as the naphtha issuing from the bore-hole carries away the sand which was partially choking it up. [ ] this is a so-called intermediate oil (between kerosene and lubricating oils), solar oil, or pyronaphtha. lamps are already being manufactured for burning it but still require improvement. above all, however, it requires a more extended market, and this at present is wanting, owing to the two following reasons: ( ) those products of the american petroleum which are the most widely spread and almost universally consumed contain but little of this intermediate oil, and what there is is divided between the kerosene and the lubricating oils; ( ) the baku naphtha, which is capable of yielding a great deal (up to p.c.) of intermediate oil, is produced in enormous quantities, about million poods, but has no regular markets abroad, and for the consumption in russia (about million poods of kerosene per annum) and for the limited export ( million poods per annum) into western europe (by the trans-caucasian railway) those volatile and more dangerous parts of the naphtha which enter into the composition of the american petroleum are sufficient, although baku naphtha yields about p.c. of such kerosene. for this reason pyronaphtha is not manufactured in sufficient quantities, and the whole world is consuming the unsafe kerosene. when a pipe line has been laid from baku to the black sea (in america there are many which carry the raw naphtha to the sea-shore, where it is made into kerosene and other products) then the whole mass of the baku naphtha will furnish safe illuminating oils, which without doubt will find an immense application. a mixture of the intermediate oil with kerosene or baku oil (specific gravity · to · ) may be considered (on removing the benzoline) to be the best illuminating oil, because it is safe (flashing point from ° to °), cheaper (baku naphtha gives as much as p.c. of baku oil), and burns perfectly well in lamps differing but little from those made for burning american kerosene (unsafe, flashing point ° to °). [ ] the substitution of baku pyronaphtha, or intermediate oil, or baku oil (_see_ note ), would not only be a great advantage as regards safety from fire, but would also be highly economical. a ton ( poods) of american crude petroleum costs at the coast considerably more than _s._ ( roubles), and yields two-thirds of a ton of kerosene suitable for ordinary lamps. a ton of raw naphtha in baku costs less than _s._ ( rouble copecks), and with a pipe line to the shore of the black sea would not cost more than roubles, or _s._ moreover, a ton of baku naphtha will yield as much as two-thirds of a ton of kerosene, baku oil, and pyronaphtha suitable for illuminating purposes. [ ] naphtha has been applied for heating purposes on a large scale in russia, not only on account of the low cost of naphtha itself and of the residue from the preparation of kerosene, but also because the products of all the baku naphtha do not find an outlet for general consumption. naphtha itself and its various residues form excellent fuel, burning without smoke and giving a high temperature (steel and iron may be easily melted in the flame). a hundred poods of good coal (for instance, don coal) used as fuel for heating boilers are equivalent to cubic feet (about poods) of dry wood, while only poods of naphtha will be required; and moreover there is no need for stoking, as the liquid can be readily and evenly supplied in the required quantity. the economic and other questions relating to american and baku petroleums have been discussed more in detail in some separate works of mine (d. mendeléeff): ( ) 'the naphtha industry of pennsylvania and the caucasus,' ; ( ) 'where to build naphtha works,' ; ( ) 'on the naphtha question,' ; ( ) 'the baku naphtha question,' ; ( ) the article on the naphtha industry in the account of the russian industries printed for the chicago exhibition. [ ] as during the process of the dry distillation of wood, sea-weed, and similar vegetable _débris_, and also when fats are decomposed by the action of heat (in closed vessels), hydrocarbons similar to those of naphtha are formed, it was natural that this fact should have been turned to account to explain the formation of the latter. but the hypothesis of the formation of naphtha from vegetable _débris_ inevitably assumes coal to be the chief element of decomposition, and naphtha is met with in pennsylvania and canada, in the silurian and devonian strata, which do not contain coal, and correspond to an epoch not abounding in organic matter. coal was formed from the vegetable _débris_ of the carboniferous, jurassic, and other recent strata, but judging more from its composition and structure, it has been subjected to the same kind of decomposition as peat; nor could liquid hydrocarbons have been thus formed to such an extent as we see in naphtha. if we ascribe the derivation of naphtha to the decomposition of fat (adipose, animal fat) we encounter three almost insuperable difficulties: ( ) animal remains would furnish a great deal of nitrogenous matter, whilst there is but very little in naphtha; ( ) the enormous quantity of naphtha already discovered as compared with the insignificant amount of fat in the animal carcase; ( ) the sources of naphtha always running parallel to mountain chains is completely inexplicable. being struck with this last-mentioned circumstance in pennsylvania, and finding that the sources in the caucasus surround the whole caucasian range (baku, tiflis, gouria, kouban, tamman, groznoe, dagestan), i developed in the hypothesis of the mineral origin of naphtha expounded further on. [ ] during the upheaval of mountain ranges crevasses would be formed at the peaks with openings upwards, and at the foot of the mountains with openings downwards. these cracks in course of time fill up, but the younger the mountains the fresher the cracks (the alleghany mountains are, without doubt, more ancient than the caucasian, which were formed during the tertiary epoch); through them water must gain access deep into the recesses of the earth to an extent that could not occur on the level (on plains). the situation of naphtha at the foot of mountain chains is the principal argument in my hypothesis. another fundamental reason is the consideration of the mean density of the earth. cavendish, airy, cornu, boys, and many others who have investigated the subject by various methods, found that, taking water = , the mean density of the earth is nearly · . as at the surface water and all rocks (sand, clay, limestone, granite, &c.) have a density less than , it is evident (as solid substances are but slightly compressible even under the greatest pressure) that inside the earth there are substances of a greater density--indeed, not less than or . what conclusion, then, can be arrived at? anything heavy contained in the bosom of the earth must be distributed not only on its surface, but throughout the whole solar system, for everything tends to show that the sun and planets are formed from the same material, and according to the hypothesis of laplace and kant it is most probable, and indeed must necessarily be held, that the earth and planets are but fragments of the solar atmosphere, which have had time to cool considerably and become masses semi-liquid inside and solid outside, forming both planets and satellites. the sun amongst other heavy elements contains a great deal of iron, as shown by spectrum analysis. there is also much of it in an oxidised condition on the surface of the earth. meteoric stones, carried as fragmentary planets in the solar system and sometimes falling upon the earth, consisting of siliceous rocks similar to terrestrial ones, often contain either dense masses of iron (for example, the pallosovo iron preserved in the st. petersburg academy of sciences) or granular masses (for instance, the okhansk meteorite of ). it is therefore possible that the interior of the earth contains much iron in a metallic state. this might be anticipated from the hypothesis of laplace, for the iron must have been compressed into a liquid at that period when the other component parts of the earth were still strongly heated, and oxides of iron could not then have been formed. the iron was covered with slags (mixtures of silicates like glass fused with rocky matter) which did not allow it to burn at the expense of the oxygen of the atmosphere or of water, just at that time when the temperature of the earth was very high. carbon was in the same state; its oxides were also capable of dissociation (deville); it is also but slightly volatile, and has an affinity for iron, and iron carbide is found in meteoric stones (as well as carbon and even the diamond). thus the supposition of the existence of iron carbides in the interior of the earth was derived by me from many indications, which are to some extent confirmed by the fact that granular pieces of iron have been found in some basalts (ancient lava) as well as in meteoric stones. the occurrence of iron in contact with carbon during the formation of the earth is all the more probable because those elements predominate in nature which have small atomic weights, and among them the most widely diffused, the most difficultly fusible, and therefore the most easily condensed (chapter xv.) are carbon and iron. they passed into the liquid state when all compounds were at a temperature of dissociation. [ ] the following is the typical equation for this formation: fe_{_m_}c_{_n_} + _{_m_}h_{ }o = _m_fe_{ }o_{ } (magnetic oxide) + c_{ _n_}h_{ _m_} (_see_ chapter xvii., note ). [ ] cloez investigated the hydrocarbons formed when cast-iron is dissolved in hydrochloric acid, and found c_{_n_}h_{ _n_} and others. i treated crystalline manganiferous cast-iron with the same acid, and obtained a liquid mixture of hydrocarbons exactly similar to natural naphtha in taste, smell, and reaction. [ ] probably naphtha was produced during the upheaval of all mountain chains, but only in some cases were the conditions favourable to its being preserved underground. the water penetrating below formed there a mixture of naphtha and watery vapours, and this mixture issued through fissures to the cold parts of the earth's crust. the naphtha vapours, on condensing, formed naphtha, which, if there were no obstacles, appeared on the surface of land and water. here part of it soaked through formations (possibly the bituminous slates, schists, dolomites, &c., were thus formed), another part was carried away on the water, became oxidised, evaporated, and was driven to the shores (the caucasian naphtha probably in this way, during the existence of the aralo-caspian sea, was carried as far as the sisran banks of the volga, where many strata are impregnated with naphtha and products of its oxidation resembling asphalt and pitch); a great part of it was burnt in one way or another--that is, gave carbonic anhydride and water. if the mixture of vapours, water, and naphtha formed inside the earth had no free outlet to the surface, it nevertheless would find its way through fissures to the superior and colder strata, and there become condensed. some of the formations (clays) which do not absorb naphtha were only washed away by the warm water, and formed mud, which we also now observe issuing from the earth in the form of mud volcanoes. the neighbourhood of baku and the whole of the caucasus near the naphtha districts are full of such volcanoes, which from time to time are in a state of eruption. in old naphtha beds (such as the pennsylvanian) even these blow-holes are closed, and the mud volcanoes have had time to be washed away. the naphtha and the gaseous hydrocarbons formed with it under the pressure of the overlying earth and water impregnated the layers of sand, which are capable of absorbing a great quantity of such liquid, and if above this there were strata impermeable to naphtha (dense, clayey, damp strata) the naphtha would accumulate in them. it is thus preserved from remote geological periods up to the present day, compressed and dissolved under the pressure of the gases which burst out in places forming naphtha fountains. if this be granted, it may be thought that in the comparatively new (geologically speaking) mountain chains, such as the caucasian, naphtha is even now being formed. such a supposition may explain the remarkable fact that, in pennsylvania, localities where naphtha had been rapidly worked for five years have become exhausted, and it becomes necessary to constantly have recourse to sinking new wells in fresh places. thus, from the year , the workings were gradually transferred along a line running parallel to the alleghany mountains for a distance of more than miles, whilst in baku the industry dates from time immemorial (the persians worked near the village of ballaghana) and up to the present time keeps to one and the same place. the amounts of the pennsylvanian and baku annual outputs are at present equal--namely, about million poods ( million tons). it may be that the baku beds, as being of more recent geological formation, are not so exhausted by nature as those of pennsylvania, and perhaps in the neighbourhood of baku naphtha is still being formed, which is partially indicated by the continued activity of the mud volcanoes. as many varieties of naphtha contain in solution solid slightly volatile hydrocarbons like paraffin and mineral wax, the production of ozocerite, or mountain wax, is accounted for in conjunction with the formation of naphtha. ozocerite is found in galicia, also in the neighbourhood of novorossisk, in the caucasus, and on the islands of the caspian sea (particularly in the chileken and holy islands); it is met with in large masses, and is used for the production of paraffin and _ceresene_, for the manufacture of candles, and similar purposes. as the naphtha treasures of the caucasus have hardly been exploited (near baku and near kouban and grosnyi), and as naphtha finds numerous uses, the subject presents most interesting features to chemists and geologists, and is worthy of the close attention of practical men. chapter ix compounds of carbon with oxygen and nitrogen [illustration: fig. .--dumas and stas' apparatus for determining the composition of carbonic anhydride. carbon, graphite, or a diamond is placed in the tube e in the furnace, and heated in a stream of oxygen displaced from the bottle by water flowing from a. the oxygen is purified from carbonic anhydride and water in the tubes b, c, d. carbonic anhydride, together with a certain amount of carbon monoxide, is formed in e. the latter is converted into carbonic acid by passing the products of combustion through a tube f, containing cupric oxide heated in a furnace. the cupric oxide oxidises this co into co_{ }, forming metallic copper. the potash bulbs h and tubes i, j, k retain the carbonic anhydride. thus, knowing the weight of carbon taken and the weight of the resultant carbonic anhydride (by weighing h, i, j, k before and after the experiment), the composition of carbonic anhydride and the equivalent of carbon may be determined.] carbonic anhydride (or carbonic acid or carbon dioxide, co_{ }) was the first of all gases distinguished from atmospheric air. paracelsus and van helmont, in the sixteenth century, knew that on heating limestone a particular gas separated, which is also formed during the alcoholic fermentation of saccharine solutions (for instance, in the manufacture of wine); they knew that it was identical with the gas which is produced by the combustion of charcoal, and that in some cases it is found in nature. in course of time it was found that this gas is absorbed by alkali, forming a salt which, under the action of acid, again yields this same gas. priestley found that this gas exists in air, and lavoisier determined its formation during respiration, combustion, putrefaction, and during the reduction of the oxides of metals by charcoal; he determined its composition, and showed that it only contains oxygen and carbon. berzelius, dumas with stas, and roscoe, determined its composition, showing that it contains twelve parts of carbon to thirty-two of oxygen. the composition by volume of this gas is determined from the fact that during the combustion of charcoal in oxygen, the volume remains unchanged; that is to say, _carbonic anhydride occupies the same volume as the oxygen which it contains_--that is, the atoms of the carbon are, so to speak, squeezed in between the atoms of the oxygen. o_{ } occupies two volumes and is a molecule of ordinary oxygen; co_{ } likewise occupies two volumes, and expresses the composition and molecular weight of the gas. carbonic anhydride exists _in nature_, both in a free state and in the most varied compounds. in a free state it is always contained (chapter v.) in the air, and in solution is in all kinds of water. it is evolved from volcanoes, from mountain fissures, and in some caves. the well-known dog grotto, near agnano on the bay of baiæ, near naples, furnishes the best known example of such an evolution. similar sources of carbonic anhydride are also found in other places. in france, for instance, there is a well-known poisonous fountain in auvergne. it is a round hole, surrounded with luxurious vegetation and constantly evolving carbonic anhydride. in the woods surrounding the lacher see near the rhine, in the neighbourhood of extinct volcanoes, there is a depression constantly filled with this same gas. the insects which fly to this place perish, animals being unable to breathe this gas. the birds chasing the insects also die, and this is turned to profit by the local peasantry. many mineral springs carry into the air enormous quantities of this gas. vichy in france, sprüdel in germany, and narzan in russia (in kislovodsk near piatigorsk) are known for their carbonated gaseous waters. much of this gas is also evolved in mines, cellars, diggings, and wells. people descending into such places are suffocated. the combustion, putrefaction, and fermentation of organic substances give rise to the formation of carbonic anhydride. it is also introduced into the atmosphere during the respiration of animals at all times and during the respiration of plants in darkness and also during their growth. very simple experiments prove the formation of carbonic anhydride under these circumstances; thus, for example, if the air expelled from the lungs be passed through a glass tube into a transparent solution of lime (or baryta) in water a white precipitate will soon be formed consisting of an insoluble compound of lime and carbonic anhydride. by allowing the seeds of plants to grow under a bell jar, or in a closed vessel, the formation of carbonic anhydride may be similarly confirmed. by confining an animal, a mouse, for instance, under a bell jar, the quantity of carbonic acid which it evolves may be exactly determined, and it will he found to be many grams per day for a mouse. such experiments on the respiration of animals have been also made with great exactitude with large animals, such as men, bulls, sheep, &c. by means of enormous hermetically closed bell receivers and the analysis of the gases evolved during respiration it was found that a man expels about grams (more than two pounds) of carbonic anhydride per diem, and absorbs during this time grams of oxygen.[ ] it must be remarked that the carbonic anhydride of the air constitutes the fundamental food of plants (chapters iii., v., and viii.) carbonic anhydride in a state of combination with a variety of other substances is perhaps even more widely distributed in nature than in a free state. some of these substances are very stable and form a large portion of the earth's crust. for instance, limestones, calcium carbonate, caco_{ }, were formed as precipitates in the seas existing previously on the earth; this is proved by their stratified structure and the number of remains of sea animals which they frequently contain. chalk, lithographic stone, limestone, marls (a mixture of limestone and clay), and many other rocks are examples of such sedimentary formations. carbonates with various other bases--such as, for instance, magnesia, ferrous oxide, zinc oxide, &c.--are often found in nature. the shells of molluscs also have the composition caco_{ } and many limestones were exclusively formed from the shells of minute organisms. as carbonic anhydride (together with water) is produced during the combustion of all organic compounds in a stream of oxygen or by heating them with substances which readily part with their oxygen--for instance, with copper oxide--this method is employed for estimating the amount of carbon in organic compounds, more especially as the co_{ } can be easily collected and the amount of carbon calculated from its weight. for this purpose a hard glass tube, closed at one end, is filled with a mixture of the organic substance (about · gram) and copper oxide. the open end of the tube is fitted with a cork and tube containing calcium chloride for absorbing the water formed by the oxidation of the substance. this tube is hermetically connected (by a caoutchouc tube) with potash bulbs or other weighing apparatus (chapter v.) containing alkali destined to absorb the carbonic anhydride. the increase in weight of this apparatus shows the amounts of carbonic anhydride formed during the combustion of the given substance, and the quantity of carbon may be determined from this, because three parts of carbon give eleven parts of carbonic anhydride. [illustration: fig.-- . apparatus for the combustion of organic substances by igniting them with oxide of copper.] [ ] the quantity of carbonic acid gas exhaled by a man during the twenty-four hours is not evenly produced; during the night more oxygen is taken in than during the day (by night, in twelve hours, about grams), and more carbonic anhydride is separated by day than during night-time and repose; thus, of the grams produced during the twenty-four hours about are given out during the night and by day. this depends on the formation of carbonic anhydride during the work performed by the man in the day. every movement is the result of some change of matter, for force cannot be self-created (in accordance with the law of the conservation of energy). proportionally to the amount of carbon consumed an amount of energy is stored up in the organism and is consumed in the various movements performed by animals. this is proved by the fact that during work a man exhales grams of carbonic anhydride in twelve hours instead of , absorbing the same amount of oxygen as before. after a working day a man exhales by night almost the same amount of carbonic anhydride as after a day of rest, so that during a total twenty-four hours a man exhales about grams of carbonic anhydride and absorbs about grams of oxygen. therefore during work the change of matter increases. the carbon expended on the work is obtained from the food; on this account the food of animals ought certainly to contain carbonaceous substances capable of dissolving under the action of the digestive fluids, and of passing into the blood, or, in other words, capable of being digested. such food for man and all other animals is formed of vegetable matter, or of parts of other animals. the latter in every case obtain their carbonaceous matter from plants, in which it is formed by the separation of the carbon from the carbonic anhydride taken up during the day by the respiration of the plants. the volume of the oxygen exhaled by plants is almost equal to the volume of the carbonic anhydride absorbed; that is to say, nearly all the oxygen entering into the plant in the form of carbonic anhydride is liberated in a free state, whilst the carbon from the carbonic anhydride remains in the plant. at the same time the plant absorbs moisture by its leaves and roots. by a process which is unknown to us, this absorbed moisture and the carbon obtained from the carbonic anhydride enter into the composition of the plants in the form of so-called carbohydrates, composing the greater part of the vegetable tissues, starch and cellulose of the composition c_{ }h_{ }o_{ } being representatives of them. they may be considered like all carbohydrates as compounds of carbon and water, c + h_{ }o. in this way a _circulation_ of the carbon goes on in nature by means of vegetable and animal organisms, in which changes the principal factor is the carbonic anhydride of the air. _for the preparation of carbonic anhydride_ in laboratories and often in manufactories, various kinds of calcium carbonate are used, being treated with some acid; it is, however, most usual to employ the so-called muriatic acid--that is, an aqueous solution of hydrochloric acid, hcl--because, in the first place, the substance formed, calcium chloride. cacl_{ }, is soluble in water and does not hinder the further action of the acid on the calcium carbonate, and secondly because, as we shall see further on, muriatic acid is a common product of chemical works and one of the cheapest. for calcium carbonate, either limestone, chalk, or marble is used.[ ] caco_{ } + hcl = cacl_{ } + h_{ }o + co_{ }. the nature of the reaction in this case is the same as in the decomposition of nitre by sulphuric acid; only in the latter case a hydrate is formed, and in the former an anhydride of the acid, because the hydrate, carbonic acid, h_{ }co_{ }, is unstable and as soon as it separates decomposes into water and its own anhydride. it is evident from the explanation of the cause of the action of sulphuric acid on nitre that not every acid can be employed for obtaining carbonic anhydride; namely, those will not set it free which chemically are but slightly energetic, or those which are insoluble in water, or are themselves as volatile as carbonic anhydride.[ ] but as many acids are soluble in water and are less volatile than carbonic anhydride, the latter is evolved by the action of most acids on its salts, and this reaction takes place at ordinary temperatures.[ ] [ ] other acids may be used instead of hydrochloric; for instance, acetic, or even sulphuric, although this latter is not suitable, because it forms as a product insoluble calcium sulphate (gypsum) which surrounds the untouched calcium carbonate, and thus prevents a further evolution of gas. but if porous limestone--for instance, chalk--be treated with sulphuric acid diluted with an equal volume of water, the liquid is absorbed and acting on the mass of the salt, the evolution of carbonic anhydride continues evenly for a long time. instead of calcium carbonate other carbonates may of course be used; for instance, washing-soda, na_{ }co_{ }, which is often chosen when it is required to produce a rapid stream of carbonic anhydride (for example, for liquefying it). but natural crystalline magnesium carbonate and similar salts are with difficulty decomposed by hydrochloric and sulphuric acids. when for manufacturing purposes--for instance, in precipitating lime in sugar-works--a large quantity of carbonic acid gas is required, it is generally obtained by burning charcoal, and the products of combustion, rich in carbonic anhydride, are pumped into the liquid containing the lime, and the carbonic anhydride is thus absorbed. another method is also practised, which consists in using the carbonic anhydride separated during fermentation, or that evolved from limekilns. during the fermentation of sweet-wort, grape-juice, and other similar saccharine solutions, the glucose c_{ }h_{ }o_{ } changes under the influence of the yeast organism, forming alcohol ( c_{ }h_{ }o), and carbonic anhydride ( co_{ }) which separates in the form of gas; if the fermentation proceeds in closed bottles sparkling wine is obtained. when carbonic acid gas is prepared for saturating water and other beverages it is necessary to use it in a pure state. whilst in the state in which it is evolved from ordinary limestones by the aid of acids it contains, besides a certain quantity of acid, the organic matters of the limestone; in order to diminish the quantity of these substances the densest kinds of dolomites are used, which contain less organic matter, and the gas formed is passed through various washing apparatus, and then through a solution of potassium permanganate, which absorbs organic matter and does not take up carbonic anhydride. [ ] hypochlorous acid, hclo, and its anhydride, cl_{ }o, do not displace carbonic acid, and hydrogen sulphide has the same relation to carbonic acid as nitric acid to hydrochloric--an excess of either one displaces the other. [ ] thus, in preparing the ordinary effervescing powders, sodium bicarbonate (or acid carbonate of soda) is used, and mixed with powdered citric or tartaric acid. in a dry state these powders do not evolve carbonic anhydride, but when mixed with water the evolution takes place briskly, which is due to the substances passing into solution. the salts of carbonic acid may be recognised from the fact that they evolve carbonic acid with a hissing noise when treated with acids. if vinegar, which contains acetic acid, be poured upon limestone, marble, malachite (containing copper carbonate), &c., carbonic anhydride is evolved with a hissing noise. it is noteworthy that neither hydrochloric acid, nor even sulphuric acid nor acetic acid, acts on limestone except in presence of water. we shall refer to this later on. for the preparation of carbonic anhydride in laboratories, marble is generally used. it is placed in a woulfe's bottle and treated with hydrochloric acid in an apparatus similar to the one used for the production of hydrogen. the gas evolved carries away through the tube part of the volatile hydrochloric acid, and it is therefore necessary to wash the gas by passing it through another woulfe's bottle containing water. if it be necessary to obtain dry carbonic anhydride, it must be passed through chloride of calcium.[ ] [ ] the direct observations made ( ) by messrs. bogouski and kayander lead to the conclusion that the quantity of carbonic anhydride evolved by the action of acids on marble (as homogeneous as possible) is directly proportional to the time of action, the extent of surface, and the degree of concentration of the acid, and inversely proportional to the molecular weight of the acid. if the surface of a piece of carrara marble be equal to one decimetre, the time of action one minute, and one cubic decimetre or litre contains one gram of hydrochloric acid, then about · gram of carbonic anhydride will be evolved. if the litre contains _n_ grams of hydrochloric acid, then by experiment the amount will be _n_ × · of carbonic anhydride. therefore, if the litre contains · (= hcl) grams, about · gram of carbonic anhydride (about half a litre) would he evolved per minute. if nitric acid or hydrobromic acid be used instead of hydrochloric, then, with a combining proportion of the acid, the same quantity of carbonic anhydride will be evolved; thus, if the litre contains (= hno_{ }) grams of nitric acid, or (= hbr) grams of hydrobromic acid, the quantity of carbonic anhydride evolved will still be · gram. spring, in , made a series of similar determinations. carbonic anhydride may also be prepared by heating many of the salts of carbonic acid; for instance, by heating magnesium carbonate, mgco_{ } (_e.g._, in the form of dolomite), the separation is easily effected, particularly in the presence of the vapours of water. the acid salts of carbonic acid (for instance, nahco_{ }, see further on) readily and abundantly give carbonic anhydride when heated. carbonic anhydride is colourless, has a slight smell and a faint acid taste; its density in a gaseous state is twenty-two times as great as that of hydrogen, because its molecular weight is forty-four.[ ] it is an example of those gaseous substances which have been long ago transformed into all the three states. in order to obtain liquid carbonic anhydride, the gas must be submitted to a pressure of thirty-six atmospheres at °.[ ] its absolute boiling point = + °.[ ] liquid carbonic anhydride is colourless, does not mix with water, but is soluble in alcohol, ether, and oils; at ° its specific gravity is · .[ bis] the boiling point of this liquid lies at - °--that is to say, the pressure of carbonic acid gas at that temperature does not exceed that of the atmosphere. at the ordinary temperature the liquid remains as such for some time under ordinary pressure, on account of its requiring a considerable amount of heat for its evaporation. if the evaporation takes place rapidly, especially if the liquid issues in a stream, such a decrease of temperature occurs that a part of the carbonic anhydride is transformed into a solid snowy mass. water, mercury, and many other liquids freeze on coming into contact with snow-like carbonic anhydride.[ ] in this form carbonic anhydride may be preserved for a long time in the open air, because it requires still more heat to turn it into a gas than when in a liquid state.[ bis] [ ] as carbonic anhydride is one and a half times heavier than air, it diffuses with difficulty, and therefore does not easily mix with air, but sinks in it. this may be shown in various ways; for instance, the gas may be carefully poured from one vessel into another containing air. if a lighted taper be plunged into the vessel containing carbonic anhydride it is extinguished, and then, after pouring the gas into the other cylinder, it will burn in the former and be extinguished in the latter. if a certain quantity of carbonic anhydride be poured into a vessel containing air, and soap-bubbles be introduced, they will only sink as far as the stratum where the atmosphere of carbonic anhydride commences, as this latter is heavier than the soap-bubbles filled with air. naturally, after a certain lapse of time, the carbonic anhydride will be diffused throughout the vessel, and form a uniform mixture with the air, just as salt in water. [ ] this liquefaction was first observed by faraday, who sealed up in a tube a mixture of a carbonate and sulphuric acid. afterwards this method was very considerably improved by thilorier and natterer, whose apparatus is given in chapter vi. in describing n_{ }o. it is, however, necessary to remark that the preparation of liquid carbonic anhydride requires good liquefying apparatus, constant cooling, and a rapid preparation of large masses of carbonic anhydride. [ ] carbonic anhydride, having the same molecular weight as nitrous oxide, very much resembles it when in a liquid state. [ bis] when poured into a tube, which is then sealed up, liquefied carbonic anhydride can be easily preserved, because a thick tube easily supports the pressure (about atmospheres) exerted by the liquid at the ordinary temperature. [ ] when a fine stream of liquid carbonic anhydride is discharged into a closed metallic vessel, about one-third of its mass solidifies and the remainder evaporates. in employing solid carbonic anhydride for making experiments at low temperatures, it is best to use it mixed with ether, otherwise there will be few points of contact. if a stream of air be blown through a mixture of liquid carbonic anhydride and ether, the evaporation proceeds rapidly, and great cold is obtained. at present in some special manufactories (and for making artificial mineral waters) carbonic anhydride is liquefied on the large scale, filled into wrought-iron cylinders provided with a valve, and in this manner it can be transported and preserved safely for a long time. it is used, for instance, in breweries. [ bis] solid carbonic anhydride, notwithstanding its very low temperature, can be safely placed on the hand, because it continually evolves gas which prevents its coming into actual contact with the skin, but if a piece be squeezed between the fingers, it produces a severe frost bite similar to a burn. if the snow-like solid be mixed with ether, a semi-liquid mass is obtained, which is employed for artificial refrigeration. this mixture may be used for liquefying many other gases--such as chlorine, nitrous oxide, hydrogen sulphide, and others. the evaporation of such a mixture proceeds with far greater rapidity under the receiver of an air-pump, and consequently the refrigeration is more intense. by this means many gases may be liquefied which resist other methods--namely, olefiant gas, hydrochloric acid gas, and others. liquid carbonic anhydride in this case congeals in the tube into a glassy transparent mass. pictet availed himself of this method for liquefying many permanent gases (_see_ chapter ii.) bleekrode, by compressing solid co_{ } in a cylinder by means of a piston, obtained a semi-transparent stick, which contained as much as · and even · gram of co_{ } per cubic centimetre. in this form the co_{ } slowly evaporated, and could be kept for a long time. the capacity which carbonic anhydride has of being liquefied stands in connection with its _considerable solubility in water_, alcohol, and other liquids. its solubility in water has been already spoken of in the first chapter. carbonic anhydride is still more soluble in alcohol than in water, namely at ° one volume of alcohol dissolves · volumes of this gas, and at ° · volumes. aqueous solutions of carbonic anhydride, under a pressure of several atmospheres, are now prepared artificially, because water saturated with this gas promotes digestion and quenches thirst. for this purpose the carbonic anhydride is pumped by means of a force-pump into a closed vessel containing the liquid, and then bottled off, taking special means to ensure rapid and air-tight corking. various effervescing drinks and artificially effervescing wines are thus prepared. the presence of carbonic anhydride has an important significance in nature, because by its means water acquires the property of decomposing and dissolving many substances which are not acted on by pure water; for instance, calcium phosphates and carbonates are soluble in water containing carbonic acid. if the water in the interior of the earth is saturated with carbonic acid under pressure, the quantity of calcium carbonate in solution may reach three grams per litre, and on issuing at the surface, as the carbonic anhydride escapes, the calcium carbonate will be deposited.[ ] water charged with carbonic anhydride brings about the destruction of many rocky formations by removing the lime, alkali, &c., from them. this process has been going on and continues on an enormous scale. rocks contain silica and the oxides of various metals; amongst others, the oxides of aluminium, calcium, and sodium. water charged with carbonic acid dissolves both the latter, transforming them into carbonates. the waters of the ocean ought, as the evolution of the carbonic anhydride proceeds, to precipitate salts of lime; these are actually found everywhere on the surface of the ground in those places which previously formed the bed of the ocean. the presence of carbonic anhydride in solution in water is essential to the nourishment and growth of water plants. [ ] if such water trickles through crevices and enters a cavern, the evaporation will be slow, and therefore in those places from which the water drips growths of calcium carbonate will be formed, just like the icicles formed on the roof-gutters in winter-time. similar conical and cylindrical stony growths form the so-called stalactites or pendants hanging from above and stalagmites formed on the bottom of caves. sometimes these two kinds meet together, forming entire columns filling the cave. many of these caves are remarkable for their picturesqueness; for instance, the cave of antiparos, in the grecian archipelago. this same cause also forms spongy masses of calcium carbonate in those places where the springs come to the surface of the earth. it is therefore very evident that a calcareous solution is sometimes capable of penetrating plants and filling the whole of their mass with calcium carbonate. this is one of the forms of petrified plants. calcium phosphate in solution in water containing carbonic acid plays an important part in the nourishment of plants, because all plants contain both lime and phosphoric acid. although carbonic anhydride is soluble in water, yet no definite hydrate is formed;[ ] nevertheless an idea of the composition of this hydrate may be formed from that of the salts of carbonic acid, because a hydrate is nothing but a salt in which the metal is replaced by hydrogen. as carbonic anhydride forms salts of the composition k_{ }co_{ }, na_{ }co_{ }, hnaco_{ }, &c., therefore carbonic acid ought to have the composition h_{ }co_{ }--that is, it ought to contain co_{ } + h_{ }o. whenever this substance is formed, it decomposes into its component parts--that is, into water and carbonic anhydride. _the acid properties_ of carbonic anhydride[ bis] are demonstrated by its being directly absorbed by alkaline solutions and forming salts with them. in distinction from nitric, hno_{ }, and similar monobasic acids which with univalent metals (exchanging one atom for one atom of hydrogen) give salts such as those of potassium, sodium, and silver containing only one atom of the metal (nano_{ }, agno_{ }), and with bivalent[ ] metals (such as calcium, barium, lead) salts containing two acid groups--for example, ca(no_{ })_{ }, pb(no_{ })_{ }--carbonic acid, h_{ }co_{ }, _is bibasic_, that is contains two atoms of hydrogen in the hydrate or two atoms of univalent metals in their salts: for example, na_{ }co_{ } is washing soda, a normal salt; nahco_{ } is the bicarbonate, an acid salt. therefore, if m´ be a univalent metal, its carbonates in general are the normal carbonate m´_{ }co_{ } and the acid carbonate, m´hco_{ }; or if m´´ be a bivalent metal (replacing h_{ }) its normal carbonate will be m´´co_{ }; these metals do not usually form acid salts, as we shall see further on. the bibasic character of carbonic acid is akin to that of sulphuric acid, h_{ }so_{ },[ ] but the latter, in distinction from the former, is an example of the energetic or strong acids (such as nitric or hydrochloric), whilst in carbonic acid we observe but feeble development of the acid properties; hence carbonic acid must be considered _a weak acid_. this conception must, however, be taken as only comparative, as up to this time there is no definitely established rule for measuring the energy[ ] of acids. the feeble acid properties of carbonic acid may, however, be judged from the joint evidence of many properties. with such energetic alkalis as soda and potash, carbonic acid forms normal salts, soluble in water, but having an alkaline reaction and in many cases themselves acting as alkalis.[ ] the acid salts of these alkalis, nahco_{ } and khco_{ }, have a neutral reaction on litmus, although they, like acids, contain hydrogen, which may be exchanged for metals. the acid salts of such acids--as, for instance, of sulphuric acid, nahso_{ }--have a clearly defined acid reaction, and therefore carbonic acid is unable to neutralise the powerful basic properties of such alkalis as potash or soda. carbonic acid does not even combine at all with feeble bases, such as alumina, al_{ }o_{ }, and therefore if a strong solution of sodium carbonate, na_{ }co_{ }, be added to a strong solution of aluminium sulphate, al_{ }(so_{ })_{ }, although according to double saline decompositions aluminium carbonate, al_{ }(co_{ })_{ }, ought to be formed, the carbonic acid separates, for this salt splits up in the presence of water into aluminium hydroxide and carbonic anhydride: al_{ }(co_{ })_{ } + h_{ }o = al_{ }(oh)_{ } + co_{ }. thus feeble bases are unable to retain carbonic acid even at ordinary temperatures. for the same reason, in the case of bases of medium energy, although they form carbonates, the latter are comparatively easily decomposed by heating, as is shown by the decomposition of copper carbonate, cuco_{ } (_see_ introduction), and even of calcium carbonate, caco_{ }. only the normal (not the acid) salts of such powerful bases as potassium and sodium are capable of standing a red heat without decomposition. the acid salts--for instance, nahco_{ }--decompose even on heating their solutions ( nahco_{ } = na_{ }co_{ } + h_{ }o + co_{ }), evolving carbonic anhydride. the amount of heat given out by the combination of carbonic acid with bases also shows its feeble acid properties, being considerably less than with energetic acids. thus if a weak solution of forty grams of sodium hydroxide be saturated (up to the formation of a normal salt) with sulphuric or nitric acid or another powerful acid, from thirteen to fifteen thousand calories are given out, but with carbonic acid only about ten thousand calories.[ ] the majority of carbonates are insoluble in water, and therefore such solutions as sodium, potassium, or ammonium carbonates form in solutions of most other salts, mx or m´´x_{ }, insoluble precipitates of carbonates, m_{ }co_{ } or m´´co_{ }. thus a solution of barium chloride gives with sodium carbonate a precipitate of barium carbonate, baco_{ }. for this reason rocks, especially those of aqueous origin, very often contain carbonates; for example, calcium, ferrous, or magnesium carbonates, &c. [ ] the crystallohydrate, co_{ }, h_{ }o of wroblewski (chapter ., note ), in the first place, is only formed under special conditions; in the second place, its existence still requires confirmation; and in the third place, it does not correspond with that hydrate h_{ }co_{ } which should occur, judging from the composition of the salts. [ bis] it is easy to demonstrate the acid properties of carbonic anhydride by taking a long tube, closed at one end, and filling it with this gas; a test-tube is then filled with a solution of an alkali (for instance, sodium hydroxide), which is then poured into the long tube and the open end is corked. the solution is then well shaken in the tube, and the corked end plunged into water. if the cork be now withdrawn under water, the water will fill the tube. the vacuum obtained by the absorption of the carbonic anhydride by an alkali is so complete that even an electric discharge will not pass through it. this method is often applied to produce a vacuum. [ ] the reasons for distinguishing the uni-, bi-, tri-, and quadrivalent metals will be explained hereafter on passing from the univalent metals (na, k, li) to the bivalent (mg. ca, ba), chapter xiv. [ ] up to the year , or thereabout, acids were not distinguished by their basicity. graham, while studying phosphoric acid, h_{ }po_{ }, and liebig, while studying many organic acids, distinguished mono-, bi-, and tribasic acids. gerhardt and laurent generalised these relations, showing that this distinction extends over many reactions (for instance, to the faculty of bibasic acids of forming acid salts with alkalis, kho or naho, or with alcohols, rho, &c.); but now, since a definite conception as to atoms and molecules has been arrived at, _the basicity of an acid is determined by the number of hydrogen atoms,_ contained in a molecule of the acid, which can be exchanged for metals. if carbonic acid forms acid salts, nahco_{ }, and normal salts, na_{ }co_{ }, it is evident that the hydrate is h_{ }co_{ }, a bibasic acid. otherwise it is at present impossible to account for the composition of these salts. but when c = and o = were taken, then the formula co_{ } expressed the composition, but not the molecular weight, of carbonic anhydride; and the composition of the normal salt would be na_{ }c_{ }o_{ } or naco_{ }, therefore carbonic acid might have been considered as a monobasic acid. then the acid salt would have been represented by naco_{ },hco_{ }. such questions were the cause of much argument and difference of opinion among chemists about forty years ago. at present there cannot be two opinions on the subject if the law of avogadro-gerhardt and its consequences be strictly adhered to. it may, however, be observed here that the monobasic acids r(oh) were for a long time considered to be incapable of being decomposed into water and anhydride, and this property was ascribed to the bibasic acids r(oh)_{ } as containing the elements necessary for the separation of the molecule of water, h_{ }o. thus h_{ }so_{ } or so_{ }(oh)_{ }, h_{ }co_{ }, or co(oh)_{ }, and other bibasic acids decompose into an anhydride, ro, and water, h_{ }o. but as nitrous, hno_{ }, iodic, hio_{ }, hypochlorous, hclo, and other monobasic acids easily give their anhydrides n_{ }o_{ }, i_{ }o_{ }, cl_{ }o, &c., that method of distinguishing the basicity of acids, although it fairly well satisfies the requirements of organic chemistry, cannot be considered correct. it may also be remarked that up to the present time not one of the bibasic acids has been found to have the faculty of being distilled without being decomposed into anhydride and water (even h_{ }so_{ }, on being evaporated and distilled, gives so_{ } + h_{ }o), and the decomposition of acids into water and anhydride proceeds particularly easily in dealing with feebly energetic acids, such as carbonic, nitrous, boric, and hypochlorous. let us add that carbonic acid, as a hydrate corresponding to marsh gas, c(ho)_{ } = co_{ } + h_{ }o, ought to be tetrabasic. but in general it does not form such salts. basic salts, however, such as cuco_{ }cuo, may be regarded in this sense, for ccu_{ }o_{ } corresponds with ch_{ }o_{ }, as cu corresponds with h_{ }. amongst the ethereal salts (alcoholic derivatives) of carbonic acid corresponding cases are, however, observed; for instance, ethylic orthocarbonate, c(c_{ }h_{ }o)_{ } (obtained by the action of chloropicrin, c(no_{ })cl_{ }, on sodium ethoxide, c_{ }h_{ }ona; boiling point °; specific gravity, · ). the name _orthocarbonic acid_ for ch_{ }o_{ } is taken from _orthophosphoric acid_, ph_{ }o_{ }, which corresponds with ph_{ } (_see_ chapter on phosphorus). [ ] long ago endeavours were made to find a _measure of affinity_ of acids and bases, because some of the acids, such as sulphuric or nitric, form comparatively stable salts, decomposed with difficulty by heat and water, whilst others, like carbonic and hypochlorous acids, do not combine with feeble bases, and with most of the other bases form salts which are easily decomposed. the same may be said with regard to bases, among which those of potassium, k_{ }o, sodium, na_{ }o, and barium, bao, may serve as examples of the most powerful, because they combine with the most feeble acids and form a mass of salts of great stability, whilst as examples of the feeblest bases alumina, al_{ }o_{ }, or bismuth oxide, bi_{ }o_{ }, may be taken, because they form salts easily decomposed by water and by heat if the acid be volatile. such a division of acids and bases into the feeblest and most powerful is justified by all evidence concerning them, and is quoted in this work. but the teaching of this subject in certain circles has acquired quite a new tone, which, in my opinion, cannot be accepted without certain reservations and criticisms, although it comprises many interesting features. the fact is that thomsen, ostwald, and others proposed to express the measure of affinity of acids to bases by figures drawn from data of the measure of displacement of acids in aqueous solutions, judging ( ) from the amount of heat developed by mixing a solution of the salt with a solution of another acid (the avidity of acids, according to thomsen); ( ) from the change of the volumes accompanying such a mutual action of solutions (ostwald); ( ) from the change of the index of refraction of solutions (ostwald), &c. besides this there are many other methods which allow us to form an opinion about the distribution of bases among various acids in aqueous solutions. some of these methods will be described hereafter. it ought, however, to be remarked that in making investigations in aqueous solutions the affinity to water is generally left out of sight. if a base n, combining with acids x and y in presence of them both, divides in such a way that one-third of it combines with x and two-thirds with y, a conclusion is formed that the affinity, or power of forming salts, of the acid y is twice as great as that of x. but the presence of the water is not taken into account. if the acid x has an affinity for water and for n it will be distributed between them; and if x has a greater affinity for water than y, then less of x will combine with n than of y. if, in addition to this, the acid x is capable of forming an acid salt nx_{ }, and y is not, the conclusion of the relative strength of x and y will be still more erroneous, because the x set free will form such a salt on the addition of y to nx. we shall see in chapter x. that when sulphuric and nitric acids in weak aqueous solution act on sodium, they are distributed exactly in this way: namely, one-third of the sodium combines with the sulphuric and two-thirds with the nitric acid; but, in my opinion, this does not show that sulphuric acid, compared with nitric acid, possesses but half the degree of affinity for bases like soda, and only demonstrates the greater affinity of sulphuric acid for water compared with that of nitric acid. in this way the methods of studying the distribution in aqueous solutions probably only shows the difference of the relation of the acid to a base and to water. in view of these considerations, although the teaching of the distribution of salt-forming elements in _aqueous solutions_ is an object of great and independent interest, it can hardly serve to determine the measure of affinity between bases and acids. similar considerations ought to be kept in view when determining the energy of acids by means of the _electrical conductivity of their weak solutions_. this method, proposed by arrhenius ( ), and applied on an extensive scale by ostwald (who developed it in great detail in his _lehrbuch d. allgemeinen chemie_, v. ii., ), is founded on the fact that the relation of the so-called molecular electrical-conductivity of weak solutions of various acids (i) coincides with the relation in which the same acids stand according to the distribution, (ii) found by one of the above-mentioned methods, and with the relation deduced for them from observations upon the velocity of reaction, (iii) for instance, according to the rate of the splitting up of an ethereal salt (into alcohol and acid), or from the rate of the so-called inversion of sugar--that is, its transformation into glucose--as is seen by comparing the annexed figures, in which the energy of hydrochloric acid is taken as equal to :-- i ii iii hydrochloric acid, hcl hydrobromic acid, hbr nitric acid, hno_{ } sulphuric acid, h_{ }so_{ } formic acid, ch_{ }o_{ } acetic acid, c_{ }h_{ }o_{ } oxalic acid, c_{ }h_{ }o_{ } phosphoric acid, ph_{ }o_{ } -- the coincidence of these figures, obtained by so many various methods, presents a most important and instructive relation between phenomena of different kinds, but in my opinion it does not permit us to assert that the degree of affinity existing between bases and various acids is determined by all these various methods, because the influence of the water must be taken into consideration. on this account, until the theory of solution is more thoroughly worked out, this subject (which for the present ought to be treated of in special treatises on chemical mechanics) must be treated with great caution. but now we may hope to decide this question guided by a study of the rate of reaction, the influence of acids and bases upon indicators, &c., all of which are treated fully in works on physical and theoretical chemistry. [ ] thus, for instance, in the washing of fabrics the caustic alkalis, such as sodium hydroxide, in weak solutions, act in removing the fatty matter just in the same way as carbonate solutions; for instance, a solution of soda crystals, na_{ }co_{ }. soap acts in the same way, being composed of feeble acids, either fatty or resinous, combined with alkali. on this account all such substances are applied in manufacturing processes, and answer equally well in practice for bleaching and washing fabrics. soda crystals or soap are preferred to caustic alkali, because an excess of the latter may have a destructive effect on the fabrics. it may be supposed that in aqueous solutions of soap or soda crystals, part of the base will form caustic alkali; that is to say, the water will compete with the weak acids, and the alkali will be distributed between them and the water. [ ] although carbonic acid is reckoned among the feeble acids, yet there are evidently many others still feebler--for instance, prussic acid, hypochlorous acid, many organic acids, &c. bases like alumina, or such feeble acids as silica, when in combination with alkalis, are decomposed in aqueous solutions by carbonic acid, but on fusion--that is, without the presence of water--they displace it, which clearly shows in phenomena of this kind how much depends upon the conditions of reaction and the properties of the substances formed. these relations, which at first sight appear complex, may be best understood if we represent that two salts, mx and ny, in general always give more or less of two other salts, my and nx, and then examine the properties of the derived substances. thus, in solution, sodium silicate, na_{ }sio_{ }, with carbonic anhydride will to some extent form sodium carbonate and silica, sio_{ }; but the latter, being colloid, separates, and the remaining mass of sodium silicate is again decomposed by carbonic anhydride, so that finally silica separates and sodium carbonate is formed. in a fused state the case is different; sodium carbonate will react with silica to form carbonic anhydride and sodium silicate, but the carbonic anhydride will be separated as a gas, and therefore in the residue the same reaction will again take place, and ultimately the carbonic anhydride is entirely eliminated and sodium silicate remains. if, on the other hand, nothing is removed from the sphere of the reaction, distribution takes place. therefore, although carbonic anhydride is a feeble acid, still not for this reason, but only in virtue of its gaseous form, do all soluble acids displace it in saline solutions (_see_ chapter x.) carbonic anhydride--which, like water, is formed with the development of a large amount of heat--is very stable. only very few substances are capable of depriving it of its oxygen. however, certain metals, such as magnesium, potassium and the like, on being heated, burn in it, depositing carbon and forming oxides. if a mixture of carbonic anhydride and hydrogen be passed through a heated tube, the formation of water and carbonic oxide will be observed; co_{ } + h_{ } = co + h_{ }o. but only a portion of the carbonic acid gas undergoes this change, and therefore the result will be a mixture of carbonic anhydride, carbonic oxide, hydrogen, and water, which does not suffer further change under the action of heat.[ ] although, like water, carbonic anhydride is exceedingly stable, still on being heated it partially decomposes into carbonic oxide and oxygen. deville showed that such is the case if carbonic anhydride be passed through a long tube containing pieces of porcelain and heated to , °. if the products of decomposition--namely, the carbonic oxide and oxygen--be suddenly cooled, they can be collected separately, although they partly reunite together. a similar decomposition of carbonic anhydride into carbonic oxide and oxygen takes place on passing a series of electric sparks through it (for instance, in the eudiometer). under these conditions an increase of volume occurs, because two volumes of co_{ } give two volumes of co and one volume of o. the decomposition reaches a certain limit (less than one-third) and does not proceed further, so that the result is a mixture of carbonic anhydride, carbonic oxide, and oxygen, which is not altered in composition by the continued action of the sparks. this is readily understood, as it is a reversible reaction. if the carbonic anhydride be removed, then the mixture explodes when a spark is passed and forms carbonic anhydride.[ bis] if from an identical mixture the oxygen (and not the carbonic anhydride) be removed, and a series of sparks be again passed, the decomposition is renewed, and terminates with the complete dissociation of the carbonic anhydride. phosphorus is used in order to effect the complete absorption of the oxygen. in these examples we see that a definite mixture of changeable substances is capable of arriving at a state of stable equilibrium, destroyed, however, by the removal of one of the substances composing the mixture. this is one of the instances of the influence of mass. [ ] hydrogen and carbon are near akin to oxygen as regards affinity, but it ought to be considered that the affinity of hydrogen is slightly greater than that of carbon, because during the combustion of hydrocarbons the hydrogen burns first. some idea of this similarity of affinity may be formed by the quantity of heat evolved. gaseous hydrogen, h_{ }, on combining with an atom of oxygen, o = , develops , heat-units if the water formed be condensed to a liquid state. if the water remains in the form of a gas (steam) the latent heat of evaporation must be subtracted, and then , calories will be developed. carbon, c, as a solid, on combining with o_{ } = develops about , calories, forming gaseous co_{ }. if it were gaseous like hydrogen, and only contained c_{ } in its molecule, much more heat would be developed, and judging by other substances, whose molecules on passing from the solid to the gaseous state absorb about , to , calories, it must be held that gaseous carbon on forming gaseous carbonic anhydride would develop not less than , calories--that is, approximately twice as much as is developed in the formation of water. and since there is twice as much oxygen in a molecule of carbonic anhydride as in a molecule of water, the oxygen develops approximately the same quantity of heat on combining with hydrogen as with carbon. that is to say, that here we find the same close affinity (_see_ chapter ii., note ) determined by the quantity of heat as between hydrogen, zinc, and iron. for this reason here also, as in the case of hydrogen and iron, we ought to expect an equal distribution of oxygen between hydrogen and carbon, if they are both in excess compared with the amount of oxygen; but if there be an excess of carbon, it will decompose water, whilst an excess of hydrogen will decompose carbonic anhydride. even if these phenomena and similar ones have been explained in isolated cases, a complete theory of the whole subject is still wanting in the present condition of chemical knowledge. [ bis] the degree or relative magnitude of the dissociation of co_{ } varies with the temperature and pressure--that is, it increases with the temperature and as the pressure decreases. deville found that at a pressure of atmosphere in the flame of carbonic oxide burning in oxygen, about per cent. of the co_{ }, is decomposed when the temperature is about , °, and at , ° less than per cent. (krafts); whilst under a pressure of atmospheres about per cent. is decomposed at , ° (mallard and le chatelier). it follows therefore that, under very small pressures, the dissociation of co_{ } will be considerable even at comparatively moderate temperatures, but at the temperature of ordinary furnaces (about , °) even under the small partial pressure of the carbonic acid, there are only small traces of decomposition which may be neglected in a practical estimation of the combustion of fuels. we may here cite the molecular specific heat of co_{ } (_i.e._ the amount of heat required to raise units of weight of co_{ } °), according to the determinations and calculations of mallard and le chatelier, for a constant volume c_{v} = · + · _t_; for a constant pressure c_{p} = c_{v} + (_see_ chapter xiv., note ), _i.e._ the specific heat of co_{ } increases rapidly with a rise of temperature: for example, at ° (per part by weight), it is, at a constant pressure = · , at , ° = · , at , °, about · . a perfectly distinct rise of the specific heat (for example, at , °, · ), is given by a comparison of observations made by the above-mentioned investigators and by berthelot and vieille (kournakoff). the cause of this must be looked for in dissociation. t. m. cheltzoff, however, considers upon the basis of his researches upon explosives that it must be admitted that a maximum is reached at a certain temperature (about , °), beyond which the specific heat begins to fall. although carbonic anhydride is decomposed on heating, yielding oxygen, it is nevertheless, like water, an unchangeable substance at ordinary temperatures. its decomposition, as effected by plants, is on this account all the more remarkable; in this case the whole of the oxygen of the carbonic anhydride is separated in the free state. the mechanism of this change is that the heat and light absorbed by the plants are expended in the decomposition of the carbonic anhydride. this accounts for the enormous influence of temperature and light on the growth of plants. but it is at present not clearly understood how this takes place, or by what separate intermediate reactions the whole process of decomposition of carbonic anhydride in plants into oxygen and the carbohydrates (note ) remaining in them, takes place. it is known that sulphurous anhydride (in many ways resembling carbonic anhydride) under the action of light (and also of heat) forms sulphur and sulphuric anhydride, so_{ }, and in the presence of water, sulphuric acid. but no similar decomposition has been obtained directly with carbonic anhydride, although it forms an exceedingly easily decomposable higher oxide--percarbonic acid;[ ] and perhaps that is the reason the oxygen separates. on the other hand, it is known that plants always form and contain _organic acids_, and these must be regarded as derivatives of carbonic acid, as is seen by all their reactions, of which we will shortly treat. for this reason it might be thought that the carbonic acid absorbed by the plants first forms (according to baeyer) formic aldehyde, ch_{ }o, and from it organic acids, and that these latter in their final transformation form all the other complex organic substances of the plants. many organic acids are found in plants in considerable quantity; for instance, tartaric acid, c_{ }h_{ }o_{ }, found in grape-juice and in the acid juice of many plants; malic acid, c_{ }h_{ }o_{ }, found not only in unripe apples but in still larger quantities in mountain ash berries; citric acid, c_{ }h_{ }o_{ }, found in the acid juice of lemons, in gooseberries, cranberries, &c.; oxalic acid, c_{ }h_{ }o_{ }, found in wood-sorrel and many other plants. sometimes these acids exist in a free state in the plants, and sometimes in the form of salts; for instance, tartaric acid is met with in grapes as the salt known as cream of tartar, but in the impure state called argol, or tartar, c_{ }h_{ }ko_{ }. in sorrel we find the so-called salts of sorrel, or acid potassium oxalate, c_{ }hko_{ }. there is a very clear connection between carbonic anhydride and the above-mentioned organic acids--namely, they all, under one condition or another, yield carbonic anhydride, and can all be formed by means of it from substances destitute of acid properties. the following examples afford the best demonstration of this fact: if acetic acid, c_{ }h_{ }o_{ }, the acid of vinegar, be passed in the form of vapour through a heated tube, it splits up into carbonic anhydride and marsh gas = co_{ } + ch_{ }. but conversely it can also be obtained from those components into which it decomposes. if one equivalent of hydrogen in marsh gas be replaced (by indirect means) by sodium, and the compound ch_{ }na is obtained, this directly absorbs carbonic anhydride, forming a salt of acetic acid, ch_{ }na + co_{ } = c_{ }h_{ }nao_{ }; from this acetic acid itself may be easily obtained. thus acetic acid decomposes into marsh gas and carbonic anhydride, and conversely is obtainable from them. the hydrogen of marsh gas does not, like that in acids, show the property of being directly replaced by metals; _i.e._ ch_{ } does not show any acid character whatever, but on combining with the elements of carbonic anhydride it acquires the properties of an acid. the investigation of all other organic acids shows similarly that their acid character depends on their containing the elements of carbonic anhydride. for this reason there is no organic acid containing less oxygen in its molecule than there is in carbonic anhydride; every organic acid contains in its molecule at least two atoms of oxygen. in order to express the relation between carbonic acid, h_{ }co_{ }, and organic acids, and in order to understand the reason of the acidity of these latter, it is simplest to turn to that law of substitution which shows (chapter vi.) the relation between the hydrogen and oxygen compounds of nitrogen, and permits us (chapter viii.) to regard all hydrocarbons as derived from methane. if we have a given organic compound, a, which has not the properties of an acid, but contains hydrogen connected to carbon, as in hydrocarbons, then aco_{ } will be a monobasic organic acid, a co_{ } a bibasic, a co_{ } a tribasic, and so on--that is, each molecule of co_{ } transforms one atom of hydrogen into that state in which it may be replaced by metals, as in acids. this furnishes a direct proof that in organic acids it is necessary to recognise the group hco_{ }, or carboxyl. if the addition of co_{ } raises the basicity, the removal of co_{ } lowers it. thus from the bibasic oxalic acid, c_{ }h_{ }o_{ }, or phthalic acid, c_{ }h_{ }o_{ }, by eliminating co_{ } (easily effected experimentally) we obtain the monobasic formic acid, ch_{ }o_{ }, or benzoic acid, c_{ }h_{ }o_{ }, respectively. the nature of carboxyl is directly explained by the law of substitution. judging from what has been stated in chapters vi. and viii. concerning this law, it is evident that co_{ } is ch_{ } with the exchange of h_{ } for o_{ }, and that the hydrate of carbonic anhydride, h_{ }co_{ }, is co(oh)_{ }, that is, methane, in which two parts of hydrogen are replaced by two parts of the water radical (oh, hydroxyl) and the other two by oxygen. therefore the group co(oh), or carboxyl, hco_{ }, is a part of carbonic acid, and is equivalent to (oh), and therefore also to h. that is, it is a univalent residue of carbonic acid capable of replacing one atom of hydrogen. carbonic acid itself is a bibasic acid, both hydrogen atoms in it being replaceable by metals, therefore carboxyl, which contains one of the hydrogen atoms of carbonic acid, represents a group in which the hydrogen is exchangeable for metals. and therefore if , ... _n_ atoms of non-metallic hydrogen are exchanged , ... _n_ times for carboxyl, we ought to obtain , ... _n_-basic acids. _organic acids are the products of the carboxyl substitution in hydrocarbons._[ bis] if in the saturated hydrocarbons, c_{n}h_{ n + }, one part of hydrogen is replaced by carboxyl, the monobasic saturated (or fatty) acids, c_{n}h_{ n + }(co_{ }h), will be obtained, as, for instance, formic acid, hco_{ }h, acetic acid, ch_{ }co_{ }h, ... stearic acid, c_{ }h_{ }co_{ }h, &c. the double substitution will give bibasic acids, c_{n}h_{ n}(co_{ }h)(co_{ }h); for instance, oxalic acid _n_ = , malonic acid _n_ = , succinic acid _n_ = , &c. to benzene, c_{ }h_{ } correspond benzoic acid, c_{ }h_{ }(co_{ }h), phthalic acid (and its isomerides), c_{ }h_{ }(co_{ }h)_{ }, up to mellitic acid, c_{ }(co_{ }h)_{ }, in all of which the basicity is equal to the number of carboxyl groups. as many isomerides exist in hydrocarbons, it is readily understood not only that such can exist also in organic acids, but that their number and structure may be foreseen. this complex and most interesting branch of chemistry is treated separately in organic chemistry. [ ] percarbonic acid, h_{ }co_{ } (= h_{ }co_{ } + o) is supposed by a. bach ( ) to be formed from carbonic acid in the action of light upon plants, (in the same manner as, according to the above scheme, sulphuric acid from sulphurous) with the formation of carbon, which remains in the form of hydrates of carbon: h_{ }co_{ } = h_{ }co_{ } + ch_{ }o. this substance ch_{ }o expresses the composition of formic aldehyde which, according to baeyer, by polymerisation and further changes, gives other hydrates of carbon and forms the first product which is formed in plants from co_{ }. and berthelot ( ) had already, at the time of the discovery of persulphuric (chapter xx.) and pernitric (chapter vi., note ) acids pointed out the formation of the unstable percarbonic anhydride, co_{ }. thus, notwithstanding the hypothetical nature of the above equation, it may be admitted all the more as it explains the comparative abundance of peroxide of hydrogen (schöne, chapter iv.) in the air, and this also at the period of the most energetic growth of plants (in july), because percarbonic acid should like all peroxides easily give h_{ }o_{ }. besides which bach ( ) showed that, in the first place, traces of formic aldehyde and oxidising agents (co_{ } or h_{ }o_{ }) are formed under the simultaneous action of co_{ } and sunlight upon a solution containing a salt of uranium (which is oxidised), and diethylaniline (which reacts with ch_{ }o), and secondly, that by subjecting bao_{ }, shaken up in water, to the action of a stream of co_{ } in the cold, extracting (also in the cold) with ether, and then adding an alcoholic solution of naho, crystalline plates of a sodium salt may be obtained, which with water evolve oxygen and leave sodium carbonate; they are therefore probably the per-salt. all these facts are of great interest and deserve further verification and elaboration. [ bis] if co_{ } is the anhydride of a bibasic acid, and carboxyl corresponds with it, replacing the hydrogen of hydrocarbons, and giving them the character of comparatively feeble acids, then so_{ } is the anhydride of an energetic bibasic acid, and _sulphoxyl_, so_{ }(oh), corresponds with it, being capable of replacing the hydrogen of hydrocarbons, and forming comparatively energetic _sulphur oxyacids_ (_sulphonic acids_); for instance, c_{ }h_{ }(cooh), benzoic acid, and c_{ }h_{ }(so_{ }oh), benzenesulphonic acid, are derived from c_{ }h_{ }. as the exchange of h for methyl, ch_{ }, is equivalent to the addition of ch_{ }, the exchange of carboxyl, cooh, is equivalent to the addition of co_{ }; so the exchange of h for sulphoxyl is equivalent to the addition of so_{ }. the latter proceeds directly, for instance: c_{ }h_{ } + so_{ } = c_{ }h_{ }(so_{ }oh). as accordingding to the determinations of thomsen, the heat of combustion of the _vapours_ of acids rco_{ } is known where r is a hydrocarbon, and the heat of combustion of the hydrocarbons r themselves, it may be seen that the formation of acids, rco_{ }, from r + co_{ }, is always accompanied by a _small_ absorption or development of heat. we give the heats of combustion in thousands of calories, referred to the molecular weights of the substances:-- r = h_{ } ch_{ } c_{ }h_{ } c_{ }h_{ } · rco_{ } = · thus h_{ }, corresponds with formic acid, ch_{ }o_{ }; benzene, c_{ }h_{ }, with benzoic acid, c_{ }h_{ }o_{ }. the data for the latter are taken from stohmann, and refer to the solid condition. for formic acid stohmann gives the heat of combustion as , calories in a liquid state, but in a state of vapour, · thousand units, which is much less than according to thomsen. _carbonic oxide._--this gas is formed whenever the combustion of organic substances takes place in the presence of a large excess of incandescent charcoal; the air first burns the carbon into carbonic anhydride, but this in penetrating through the red-hot charcoal is transformed into carbonic oxide, co_{ } + c = co. by this reaction carbonic oxide is prepared by passing carbonic anhydride through charcoal at a red heat. it may be separated from the excess of carbonic anhydride by passing it through a solution of alkali, which does not absorb carbonic oxide. this reduction of carbonic anhydride explains why carbonic oxide is formed in ordinary clear fires, where the incoming air passes over a large surface of heated coal. a blue flame is then observed burning above the coal; this is the burning carbonic oxide. when charcoal is burnt in stacks, or when a thick layer of coal is burning in a brazier, and under many similar circumstances, carbonic oxide is also formed. in metallurgical processes, for instance when iron is smelted from the ore, very often the same process of conversion of carbonic anhydride into carbonic oxide occurs, especially if the combustion of the coal be effected in high, so-called blast, furnaces and ovens, where the air enters at the lower part and is compelled to pass through a thick layer of incandescent coal. in this way, also, combustion with flame may be obtained from those kinds of fuel which under ordinary conditions burn without flame: for instance, anthracite, coke, charcoal. heating by means of a gas-producer--that is, an apparatus producing combustible carbonic oxide from fuel--is carried on in the same manner.[ ] in transforming one part of charcoal into carbonic oxide , heat units are given out, and on burning to carbonic anhydride , heat units. it is evident that on transforming the charcoal first into carbonic oxide we obtain a gas which in burning is capable of giving out , heat units for one part of charcoal. this preparatory transformation of fuel into carbonic oxide, or producer gas containing a mixture of carbonic oxide (about / by volume) and nitrogen ( / volume), in many cases presents most important advantages, as it is easy to completely burn gaseous fuel without an excess of air, which would lower the temperature.[ ] in stoves where solid fuel is burnt it is impossible to effect the complete combustion of the various kinds of fuel without admitting an excess of air. gaseous fuel, such as carbonic oxide, is easily completely mixed with air and burnt without excess of it. if, in addition to this, the air and gas required for the combustion be previously heated by means of the heat which would otherwise be uselessly carried off in the products of combustion (smoke)[ ] it is easy to reach a high temperature, so high (about , °) that platinum may be melted. such an arrangement is known as a _regenerative furnace_.[ ] by means of this process not only may the high temperatures indispensable in many industries be obtained (for instance, glass-working, steel-melting, &c.), but great advantage also[ ] is gained as regards the quantity of fuel, because the transmission of heat to the object to be heated, other conditions being equal, is determined by the difference of temperatures. [ ] [illustration: fig. .--gas-producer for the formation of carbon monoxide for heating purposes.] in gas-producers all carbonaceous fuels are transformed into inflammable gas. in those which (on account of their slight density and large amount of water, or incombustible admixtures which absorb heat) are not as capable of giving a high temperature in ordinary furnaces--for instance, fir cones, peat, the lower kinds of coal, &c.--the same gas is obtained as with the best kinds of coal, because the water condenses on cooling, and the ashes and earthy matter remain in the gas-producer. the construction of a gas-producer is seen from the accompanying drawing. the fuel lies on the fire-bars o, the air enters through them and the ash-hole (drawn by the draught of the chimney of the stove where the gas burns, or else forced by a blowing apparatus), the quantity of air being exactly regulated by means of valves. the gases formed are then led by the tube v, provided with a valve, into the gas main u. the addition of fuel ought to proceed in such a way as to prevent the generated gas escaping; hence the space a is kept filled with the combustible material and covered with a lid. [ ] an excess of air lowers the temperature of combustion, because it becomes heated itself, as explained in chapter iii. in ordinary furnaces the excess of air is three or four times greater than the quantity required for perfect combustion. in the best furnaces (with fire-bars, regulated air supply, and corresponding chimney draught) it is necessary to introduce twice as much air as is necessary, otherwise the smoke contains much carbonic oxide. [ ] if in manufactories it is necessary, for instance, to maintain the temperature in a furnace at , °, the flame passes out at this or a higher temperature, and therefore much fuel is lost in the smoke. for the draught of the chimney a temperature of ° to ° is sufficient, and therefore the remaining heat ought to be utilised. for this purpose the flues are carried under boilers or other heating apparatus. the preparatory heating of the air is the best means of utilisation when a high temperature is desired (_see_ note ). [ ] regenerative furnaces were introduced by the brothers siemens about the year in many industries, and mark a most important progress in the use of fuel, especially in obtaining high temperatures. the principle is as follows: the products of combustion from the furnace are led into a chamber, i, and heat up the bricks in it, and then pass into the outlet flue; when the bricks are at a red heat the products of combustion are passed (by altering the valves) into another adjoining chamber, ii, and air requisite for the combustion of the generator gases is passed through i. in passing round about the incandescent bricks the air is heated, and the bricks are cooled--that is, the heat of the smoke is returned into the furnace. the air is then passed through ii, and the smoke through i. the regenerative burners for illuminating gas are founded on this same principle, the products of combustion heat the incoming air and gas, the temperature is higher, the light brighter, and an economy of gas is effected. absolute perfection in these appliances has, of course, not yet been attained; further improvement is still possible, but dissociation imposes a limit because at a certain high temperature combinations do not ensue, possible temperatures being limited by reverse reactions. here, as in a number of other cases, the further investigation of the matter must prove of direct value from a practical point of view. [ ] at first sight it appears absurd, useless, and paradoxical to lose nearly one-third of the heat which fuel can develop, by turning it into gas. actually the advantage is enormous, especially for producing high temperatures, as is already seen from the fact that fuels rich in oxygen (for instance, wood) when damp are unable, with any kind of hearth whatever, to give the temperature required for glass-melting or steel-casting, whilst in the gas-producer they furnish exactly the same gas as the driest and most carbonaceous fuel. in order to understand the principle which is here involved, it is sufficient to remember that a large amount of heat, but having a low temperature, is in many cases of no use whatever. we are unable here to enter into all the details of the complicated matter of the application of fuel, and further particulars must be sought for in special technical treatises. the following footnotes, however, contain certain fundamental figures for calculations concerning combustion. the transformation of carbonic anhydride, by means of charcoal, into carbonic oxide (c + co_{ } = co + co) is considered a reversible reaction, because at a high temperature the carbonic oxide splits up into carbon and carbonic anhydride, as sainte-claire deville showed by using the method of the 'cold and hot tube.' inside a tube heated in a furnace another thin metallic (silvered copper) tube is fitted, through which a constant stream of cold water flows. the carbonic oxide coming into contact with the heated walls of the exterior tube forms charcoal, and its minute particles settle in the form of lampblack on the lower side of the cold tube, and, since they are cooled, do not act further on the oxygen or carbonic anhydride formed.[ ] a series of electric sparks also decomposes carbonic oxide into carbonic anhydride and carbon, and if the carbonic anhydride be removed by alkali complete decomposition may be obtained (deville).[ bis] aqueous vapour, which is so similar to carbonic anhydride in many respects, acts, at a high temperature, on charcoal in an exactly similar way, c + h_{ }o = h_{ } + co. from volumes of carbonic anhydride with charcoal volumes of carbonic oxide ( molecules) are obtained, and precisely the same from volumes of water vapour with charcoal volumes of a gas consisting of hydrogen and carbonic oxide (h_{ } + co) are formed. this mixture of combustible gases is called _water gas_.[ ] but aqueous vapour (and only when strongly superheated, otherwise it cools the charcoal) only acts on charcoal to form a large amount of carbonic oxide at a very high temperature (at which carbonic anhydride dissociates); it begins to react at about °, forming carbonic anhydride according to the equation c + h_{ }o = co_{ } + h_{ }. besides this, carbonic oxide on splitting up forms carbonic anhydride, and therefore water gas always contains a mixture[ ] in which hydrogen predominates, the volume of carbonic oxide being comparatively less, whilst the amount of carbonic anhydride increases as the temperature of the reaction decreases (generally it is more than per cent.) [ ] the first product of combustion of charcoal is always carbonic anhydride, and not carbonic oxide. this is seen from the fact that with a shallow layer of charcoal (less than a decimetre if the charcoal be closely packed) carbonic oxide is not formed at all. it is not even produced with a deep layer of charcoal if the temperature is not above °, and the current of air or oxygen is very slow. with a rapid current of air the charcoal becomes red-hot, and the temperature rises, and then carbonic oxide appears (lang ). ernst ( ) found that below ° carbonic oxide is always accompanied by co_{ }, and that the formation of co_{ } begins about °. naumann and pistor determined that the reaction of carbonic anhydride with carbon commences at about °, and that between water and carbon at about °. at the latter temperature carbonic anhydride is formed, and only with a rise of temperature is carbonic oxide formed (lang) from the action of the carbonic anhydride on the carbon, and from the reaction co_{ } + h_{ } = co + h_{ }o. rathke ( ) showed that at no temperature whatever is the reaction as expressed by the equation co_{ } + c = co_{ }, complete; a part of the carbonic anhydride remains, and lang determined that at about , ° not less than p.c. of the carbonic anhydride remains untransformed into carbonic oxide, even after the action has been continued for several hours. the endothermal reactions, c + h_{ }o = co_{ } + h_{ }, and co + h_{ }o = co_{ } + h_{ }, are just as incomplete. this is made clear if we note that on the one hand the above-mentioned reactions are all reversible, and therefore bounded by a limit; and, on the other hand, that at about ° oxygen begins to combine with hydrogen and carbon, and also that the lower limits of dissociation of water, carbonic anhydride, and carbonic oxide lie near one another between ° and , °. for water and carbonic oxide the lower limit of the commencement of dissociation is unknown, but judging from the published data (according to le chatelier, ) that of carbonic anhydride may be taken as about , °. even at about ° half the carbonic anhydride dissociates if the pressure be small, about · atmosphere. at the atmospheric pressure, not more than · p.c. of the carbonic anhydride decomposes. the reason of the influence of pressure is here evidently that the splitting up of carbonic anhydride into carbonic oxide and oxygen is accompanied by an increase in volume (as in the case of the dissociation of nitric peroxide. _see_ chapter vi., note ). as in stoves and lamps, and also with explosive substances, the temperature is not higher than , ° to , °, it is evident that although the partial pressure of carbonic anhydride is small, still its dissociation cannot here be considerable, and probably does not exceed p.c. [ bis] besides which l. mond ( ) showed that the powder of freshly reduced metallic nickel (obtained by heating the oxide to redness in a stream of hydrogen) is able, when heated even to °, to completely decompose carbonic oxide into co_{ } and carbon, which remains with the nickel and is easily removed from it by heating in a stream of air. here co = co_{ } + c. it should be remarked that heat is evolved in this reaction (note ), and therefore that the influence of 'contact' may here play a part. indeed, this reaction must be classed among the most remarkable instances of the influence of contact, especially as metals analogous to ni (fe and co) do not effect this reaction (_see_ chapter ii., note ). [ ] a molecular weight of this gas, or volumes co ( grams), on combustion (forming co_{ }) gives out , heat units (thomsen , calories). a molecular weight of hydrogen, h_{ } (or volumes), develops on burning into _liquid_ water , heat units (according to thomsen , ), but if it forms aqueous vapour , heat units. charcoal, resolving itself by combustion into the molecular quantity of co_{ } ( volumes), develops , heat units. from the data furnished by these exothermal reactions it follows: ( ) that the oxidation of charcoal into carbonic oxide develops , heat units; ( ) that the reaction c + co_{ } = co _absorbs_ , heat units; ( ) c + h_{ }o = h_{ } + co _absorbs_ (if the water be in a state of vapour) , calories, but if the water be liquid , calories (almost as much as c + co_{ }); ( ) c + h_{ }o = co_{ } + h_{ } _absorbs_ (if the water be in a state of vapour) , heat units; ( ) the reaction co + h_{ }o = co_{ } + h_{ } _develops_ , heat units if the water be in the state of vapour; and ( ) the decomposition expressed by the equation co = c + co_{ } (note bis) is accompanied by the _evolution_ of , units of heat. hence it follows that volumes of co or h_{ } burning into co_{ } or h_{ }o develop almost the same amount of heat, just as also the heat effects corresponding with the equations c + h_{ }o = co + h_{ } c + co_{ } = co + co are nearly equal. [ ] _water gas_, obtained from steam and charcoal at a white heat, contains about p.c. of hydrogen, about p.c. of carbonic oxide, about p.c. of carbonic anhydride, the remainder being nitrogen from the charcoal and air. compared with producer gas, which contains much nitrogen, this is a gas much richer in combustible matter, and therefore capable of giving high temperatures, and is for this reason of the greatest utility. if carbonic anhydride could be as readily obtained in as pure a state as water, then co might be prepared directly from co_{ } + c, and in that case the utilisation of the heat of the carbon would be the same as in water gas, because co evolves as much heat as h_{ }, and even more if the temperature of the smoke be over °, and the water remains in the form of vapour (note ). but producer gas contains a large proportion of nitrogen, so that its effective temperature is below that given by water gas; therefore in places where a particularly high temperature is required (for instance, for lighting by means of incandescent lime or magnesia, or for steel melting, &c.), and where the gas can be easily distributed through pipes, water gas is at present held in high estimation, but when (in ordinary furnaces, re-heating, glass-melting, and other furnaces) a very high temperature is not required, and there is no need to convey the gas in pipes, producer gas is generally preferred on account of the simplicity of its preparation, especially as for water gas such a high temperature is required that the plant soon becomes damaged. there are numerous systems for making water gas, but the american patent of t. lowe is generally used. the gas is prepared in a cylindrical generator, into which hot air is introduced, in order to raise the coke in it to a white heat. the products of combustion containing carbonic oxide are utilised for superheating steam, which is then passed over the white hot coke. water gas, or a mixture of hydrogen and carbonic oxide, is thus obtained. water gas is sometimes called '_the fuel of the future_,' because it is applicable to all purposes, develops a high temperature, and is therefore available, not only for domestic and industrial uses, but also for gas-motors and for lighting. for the latter purpose platinum, lime, magnesia, zirconia, and similar substances (as in the drummond light, chapter iii.), are rendered incandescent in the flame, or else the gas is _carburetted_--that is, mixed with the vapours of volatile hydrocarbons (generally benzene or naphtha, naphthalene, or simply naphtha gas), which communicate to the pale flame of carbonic oxide and hydrogen a great brilliancy, owing to the high temperature developed by the combustion of the non-luminous gases. as water gas, possessing these properties, may be prepared at central works and conveyed in pipes to the consumers, and as it may be produced from any kind of fuel, and ought to be much cheaper than ordinary gas, it may as a matter of fact be expected that in course of time (when experience shall have determined the cheapest and best way to prepare it) it will not only supplant ordinary gas, but will with advantage everywhere replace the ordinary forms of fuel, which in many respects are inconvenient. at present its consumption spreads principally for lighting purposes, and for use in gas-engines instead of ordinary illuminating gas. in some cases dowson gas is prepared in producers. this is a mixture of water and producer gases obtained by passing steam into an ordinary producer (note ), when the temperature of the carbon has become sufficiently high for the reaction c + h_{ }o = co + h_{ }. metals like iron and zinc which at a red heat are capable of decomposing water with the formation of hydrogen, also decompose carbonic anhydride with the formation of carbonic oxide; so both the ordinary products of complete combustion, water and carbonic anhydride, are very similar in their reactions, and we shall therefore presently compare hydrogen and carbonic oxide. the metallic oxides of the above-mentioned metals, when reduced by charcoal, also give carbonic oxide. priestley obtained it by heating charcoal with zinc oxide. as free carbonic anhydride may be transformed into carbonic oxide, so, in precisely the same way, may that carbonic acid which is in a state of combination; hence, if magnesium or barium carbonates (mgco_{ } or baco_{ }) be heated to redness with charcoal, or iron or zinc, carbonic oxide will be produced--for instance, it is obtained by heating an intimate mixture of parts of chalk and part of charcoal in a clay retort. many organic substances[ ] on being heated, or under the action of various agents, yield carbonic oxide; amongst these are many organic or carboxylic acids. the simplest are formic and oxalic acids. formic acid, ch_{ }o_{ }, on being heated to °, easily decomposes into carbonic oxide and water, ch_{ }o_{ } = co + h_{ }o.[ bis] usually, however, carbonic oxide is prepared in laboratories, not from formic but from oxalic acid, c_{ }h_{ }o_{ }, the more so as formic acid is itself prepared from oxalic acid. the latter acid is easily obtained by the action of nitric acid on starch, sugar, &c.; it is also found in nature. oxalic acid is easily decomposed by heat; its crystals first lose water, then partly volatilise, but the greater part is decomposed. the decomposition is of the following nature: it splits up into water, carbonic oxide, and carbonic anhydride,[ ] c_{ }h_{ }o_{ } = h_{ }o + co_{ } + co. this decomposition is generally practically effected by mixing oxalic acid with strong sulphuric acid, because the latter assists the decomposition by taking up the water. on heating a mixture of oxalic and sulphuric acids a mixture of carbonic oxide and carbonic anhydride is evolved. this mixture is passed through a solution of an alkali in order to absorb the carbonic anhydride, whilst the carbonic oxide passes on.[ bis] [ ] the so-called yellow prussiate, k_{ }fec_{ }n_{ }, on being heated with ten parts of strong sulphuric acid forms a considerable quantity of very pure carbonic oxide quite free from carbonic anhydride. [ bis] to perform this reaction, the formic acid is mixed with glycerine, because when heated alone it volatilises much below its temperature of decomposition. when heated with sulphuric acid the salts of formic acid yield carbonic oxide. [ ] the decomposition of formic and oxalic acids, with the formation of carbonic oxide, considering these acids as carboxyl derivatives, may be explained as follows:--the first is h(cooh) and the second (cooh)_{ }, or h_{ } in which one or both halves of the hydrogen are exchanged for carboxyl; therefore they are equal to h_{ } + co_{ } and h_{ } + co_{ }; but h_{ } reacts with co_{ }, as has been stated above, forming co and h_{ }o. from this it is also evident that oxalic acid on losing co_{ } forms formic acid, and also that the latter may proceed from co + h_{ }o, as we shall see further on. [ bis] greshoff ( ) showed that with a solution of nitrate of silver, iodoform, chi_{ }, forms co according to the equation chi_{ } + agno_{ } + h_{ }o = agi + hno_{ } + co. the reaction is immediate and is complete. in its physical _properties_ carbonic oxide resembles nitrogen; this is explained by the equality of their molecular weights. the absence of colour and smell, the low temperature of the absolute boiling point, - ° (nitrogen, - °), the property of solidifying at - ° (nitrogen, - °), the boiling point of - ° (nitrogen, - °), and the slight solubility (chapter i., note ), of carbonic oxide are almost the same as in those of nitrogen. the chemical properties of both gases are, however, very different, and in these carbonic oxide resembles hydrogen. carbonic oxide burns with a blue flame, giving volumes of carbonic anhydride from volumes of carbonic oxide, just as volumes of hydrogen give volumes of aqueous vapour. it explodes with oxygen, in the eudiometer, like hydrogen.[ ] when breathed it acts as a strong poison, being absorbed by the blood;[ ] this explains the action of charcoal fumes, the products of the incomplete combustion of charcoal and other carbonaceous fuels. owing to its faculty of combining with oxygen, carbonic oxide acts as a powerful reducing agent, taking up the oxygen from many compounds at a red heat, and being itself transformed into carbonic anhydride. the reducing action of carbonic oxide, however, is (like that of hydrogen, chapter ii.) naturally confined to those oxides which easily part with their oxygen--as, for instance, copper oxide--whilst the oxides of magnesium or potassium are not reduced. metallic iron itself is capable of reducing carbonic anhydride to carbonic oxide, just as it liberates the hydrogen from water. copper, which does not decompose water, does not decompose carbonic oxide. if a platinum wire heated to °, or spongy platinum at the ordinary temperature, be plunged into a mixture of carbonic oxide and oxygen, or of hydrogen and oxygen, the mixture explodes. these reactions are very similar to those peculiar to hydrogen. the following important distinction, however, exists between them--namely: the molecule of hydrogen is composed of h_{ }, a group of elements divisible into two like parts, whilst, as the molecule of carbonic oxide, co, contains unlike atoms of carbon and oxygen, in none of its reactions of combination can it give two molecules of matter containing its elements. this is particularly noticeable in the action of chlorine on hydrogen and on carbonic oxide respectively; with the former chlorine forms hydrogen chloride, and with the latter it produces the so-called carbonyl chloride, cocl_{ }: that is to say, the molecule of hydrogen, h_{ }, under the action of chlorine divides, forming two molecules of hydrochloric acid, whilst the molecule of carbonic oxide enters in its entirety into the molecule of carbonyl chloride. this characterises the so-called _diatomic_ or _bivalent_ reactions of radicles or _residues_. h is a monatomic residue or radicle, like k, cl, and others, whilst carbonic oxide, co, is an indivisible (undecomposable) bivalent radicle, equivalent to h_{ } and not to h, and therefore combining with x_{ } and interchangeable with h_{ }. this distinction is evident from the annexed comparison: hh, hydrogen. co, carbonic oxide. hcl, hydrochloric acid. cocl_{ }, carbonyl chloride. hko, potash. co(ko)_{ }, potassium carbonate. hnh_{ }, ammonia. co(nh_{ })_{ }, urea. hch_{ }, methane. co(ch_{ })_{ }, acetone. hho, water. co(ho)_{ }, carbonic acid. [ ] it is remarkable that, according to the investigations of dixon, perfectly dry carbonic oxide does not explode with oxygen when a spark of low intensity is used, but an explosion takes place if there is the slightest admixture of moisture. l. meyer, however, showed that sparks of an electric discharge of considerable intensity produce an explosion. n. n. beketoff demonstrated that combustion proceeds and spreads slowly unless there be perfect dryness. i think that this may he explained by the fact that water with carbonic oxide gives carbonic anhydride and hydrogen, but hydrogen with oxygen gives hydrogen peroxide (chapter vii.), which with carbonic oxide forms carbonic anhydride and water. the water, therefore, is renewed, and again serves the same purpose. but it may be that here it is necessary to acknowledge a simple contact influence. after dixon had shown the influence of traces of moisture upon the reaction co + o, many researches were made of a similar nature. the fullest investigation into the influence of moisture upon the course of many chemical reactions was made by baker in . he showed that with perfect dryness, many chemical transformations (for example, the formation of ozone from oxygen, the decomposition of ago, kclo_{ } under the action of heat, &c.) proceeds in exactly the same manner as in the presence of moisture; but that in many cases traces of moisture have an evident influence. we may mention the following instances: ( ) dry so_{ } does not act upon dry cao or cuo; ( ) perfectly dry sal-ammoniac does not give nh_{ } with dry cao, but simply volatilises; ( ) dry no and o do not react; ( ) perfectly dry nh_{ } and hcl do not combine; ( ) perfectly dry sal-ammoniac does not dissociate at ° (chapter vii., note bis); and ( ) perfectly dry chlorine does not act upon metals, &c. [ ] carbonic oxide is very rapid in its action, because it is absorbed by the blood in the same way as oxygen. in addition to this, the absorption spectrum of the blood changes so that by the help of blood it is easy to detect the slightest traces of carbonic oxide in the air. m. a. kapoustin found that linseed oil and therefore oil paints, are capable of giving off carbonic oxide while drying (absorbing oxygen). such monatmic (univalent) residues, x, as h, cl, na, no_{ }, nh_{ }, ch_{ }, co_{ }h (carboxyl), oh, and others, in accordance with the law of substitution, combine together, forming compounds, xx'; and with oxygen, or in general with diatomic (bivalent) residues, y--for instance, o, co, ch_{ }, s, ca, &c. forming compounds xx´y; but diatomic residues, y, sometimes capable of existing separately may combine together, forming yy´ and with x_{ } or xx´, as we see from the transition of co into co_{ } and cocl_{ }. this combining power of carbonic oxide appears in many of its reactions. thus it is very easily absorbed by cuprous chloride, cucl, dissolved in fuming hydrochloric acid, forming a crystalline compound, cocu_{ }cl_{ }, h_{ }o, decomposable by water; it combines directly with potassium (at °), forming (kco)_{_n_}[ ] with platinum dichloride, ptcl_{ }, with chlorine, cl_{ }, &c. [ ] the molecule of metallic potassium (scott, ), like that of mercury, contains only one atom, and it is probably in virtue of this that the molecules co and k combine together. but as in the majority of cases potassium acts as a univalent radicle, the polymeride k_{ }c_{ }o_{ } is formed, and probably k_{ }c_{ }o_{ }, because products containing c_{ } are formed by the action of hydrochloric acid. the black mass formed by the combination of carbonic oxide with potassium explodes with great ease, and oxidises in the air. although brodie, lerch, and joannis (who obtained it in in a colourless form by means of nh_{ }k, described in chapter vi., note ) have greatly extended our knowledge of this compound, much still remains unexplained. it probably exists in various polymeric and isomeric forms, having the composition (kco)_{_n_} and (naco)_{_n_}. but the most remarkable compounds are ( ) the compound of co with metallic nickel, a colourless volatile liquid, ni(co)_{ }, obtained by l. mond (described in chapter xxii.) and ( ) the compounds of carbonic oxide with the alkalis, for instance with potassium or barium hydroxide, &c.--although it is not directly absorbed by them, as it has no acid properties. berthelot ( ) showed that potash in the presence of water is capable of absorbing carbonic oxide, but the absorption takes place slowly, little by little, and it is only after being heated for many hours that the whole of the carbonic oxide is absorbed by the potash. the salt chko_{ } is obtained by this absorption; it corresponds with an acid found in nature--namely, the simplest organic (carboxylic) acid, _formic acid_, ch_{ }o_{ }. it can be extracted from the potassium salt by means of distillation with dilute sulphuric acid, just as nitric acid is prepared from sodium nitrate. the same acid is found in ants and in nettles (when the stings of the nettles puncture the skin they break, and the corrosive formic acid enters into the body); it is also obtained during the action of oxidising agents on many organic substances; it is formed from oxalic acid, and under many conditions splits up into carbonic oxide and water. in the formation of formic acid from carbonic oxide we observe an example of the synthesis of organic compounds, such as are now very numerous, and are treated of in detail in works on organic chemistry. formic acid, h(cho_{ }), carbonic acid, ho(cho_{ }), and oxalic acid, (cho_{ })_{ }, are the simple organic or carboxylic acids, r(cho_{ }) corresponding with hh and hoh. commencing with carbonic oxide, co, the formation of carboxylic acids is clearly seen from the fact that co is capable of combining with x_{ }, that is of forming cox_{ }. if, for instance, one x is an aqueous residue, oh (hydroxyl), and the other x is hydrogen, then the simplest organic acid--formic acid, h(cooh)--is obtained. as all hydrocarbons (chapter viii.) correspond with the simplest, ch_{ }, so all organic acids may be considered to proceed from formic acid. in a similar way it is easy to explain the relation to other compounds of carbon of those compounds which contain nitrogen. by way of an example, we will take one of the carboxyl acids, r(co_{ }h), where r is a hydrocarbon radicle (residue). such an acid, like all others, will give by combination with nh_{ } an ammoniacal salt, r(co_{ }nh_{ }). this salt contains the elements for the formation of two molecules of water, and under suitable conditions by the action of bodies capable of taking it up, water may in fact be separated from r(co_{ }nh_{ }), forming by the loss of one molecule of water, _amides_, rconh_{ }, and by the loss of two molecules of water, _nitriles_, rcn, otherwise known as _cyanogen compounds_ or _cyanides_.[ ] if all the carboxyl acids are united not only by many common reactions but also by a mutual conversion into each other (an instance of which we saw above in the conversion of oxalic acid into formic and carbonic acids) one would expect the same for all the cyanogen compounds also. the common character of their reactions, and the reciprocity of their transformation, were long ago observed by gay-lussac, who recognised a common group or radicle (residue) cyanogen, cn, in all of them. the simplest compounds are _hydrocyanic_ or _prussic acid_, hcn, cyanic acid, ohcn, and free cyanogen, (cn)_{ }, which correspond to the three simplest carboxyl acids: formic, hco_{ }h, carbonic, ohco_{ }h, and oxalic, (co_{ }h)_{ }. cyanogen, like carboxyl, is evidently a monatomic residue and acid, similar to chlorine. as regards the amides rconh_{ }, corresponding to the carboxyl acids, they contain the ammoniacal residue nh_{ }, and form a numerous class of organic compounds met with in nature and obtained in many ways,[ ] but not distinguished by such characteristic peculiarities as the cyanogen compounds. [ ] the connection of the cyanogen compounds with the rest of the hydrocarbons by means of carboxyl was enunciated by me, about the year , at the first annual meeting of the russian naturalists. [ ] thus, for instance, _oxamide_, or the amide of oxalic acid, (cnh_{ }o)_{ }, is obtained in the form of an insoluble precipitate on adding a solution of ammonia to an alcoholic solution of ethyl oxalate, (co_{ }c_{ }h_{ })_{ }, which is formed by the action of oxalic acid on alcohol: (cho_{ })_{ } + (c_{ }h_{ })oh = hoh + (co_{ }c_{ }h_{ })_{ }. as the nearest derivatives of ammonia, the amides treated with alkalis yield ammonia and form the salt of the acid. the nitriles do not, however, give similar reactions so readily. the majority of amides corresponding to acids have a composition rnh_{ }, and therefore recombine with water with great ease even when simply boiled with it, and with still greater facility in presence of acids or alkalis. under the action of alkalis the amides naturally give off ammonia, through the combination of water with the amide, when a salt of the acid from which the amide was derived is formed: rnh_{ } + kho = rko + nh_{ }. the same reaction takes place with acids, only an ammoniacal salt of the acid is of course formed whilst the acid held in the amide is liberated: rnh_{ } + hcl + h_{ }o = rho + nh_{ }cl. thus in the majority of cases amides easily pass into ammoniacal salts, but they differ essentially from them. no ammoniacal salt sublimes or volatilises unchanged, and generally when heated it gives off water and yields an amide, whilst many amides volatilise without alteration and frequently are volatile crystalline substances which may be easily sublimed. such, for instance, are the amides of benzoic, formic, and many other organic acids. the reactions and properties of the amides and nitriles of the organic acids are described in detail in books on organic chemistry; we will here only touch upon the simplest of them, and to clearly explain the derivative compounds will first consider the ammoniacal salts and amides of carbonic acid. as carbonic acid is bibasic, its ammonium salts ought to have the following composition: _acid carbonate of ammonium_, h(nh_{ })co_{ }, and _normal carbonate_, (nh_{ })_{ }co_{ }; they represent compounds of one or two molecules of ammonia with carbonic acid. the acid salt appears in the form of a non-odoriferous and (when tested with litmus) neutral substance, soluble at the ordinary temperature in six parts of water, insoluble in alcohol, and obtainable in a crystalline form either without water of crystallisation or with various proportions of it. if an aqueous solution of ammonia be saturated with an excess of carbonic anhydride, and then evaporated over sulphuric acid in the bell jar of an air-pump, crystals of this salt are separated. solutions of all other ammonium carbonates, when evaporated under the air-pump, yield crystals of this salt. a solution of this salt, even at the ordinary temperature, gives off carbonic anhydride, as do all the acid salts of carbonic acid (for instance, nahco_{ }), and at ° the separation of carbonic anhydride takes place with great rapidity. _on losing carbonic anhydride_ and water, the acid salt is converted into the normal salt, (nh_{ })hco_{ } = h_{ }o + co_{ } + (nh_{ }) co_{ }; the latter, however, decomposes in solution, and can therefore only be obtained in crystals, (nh_{ })_{ }co_{ },h_{ }o, at low temperatures, and from solutions containing _an excess of ammonia_ as the product of dissociation of this salt: (nh_{ })_{ }co_{ } = nh_{ } + (nh_{ })hco_{ }. but the normal salt,[ ] according to the general type, is capable of decomposing _with separation of water_, and forming _ammonium carbamate_, nh_{ }o(conh_{ }) = (nh_{ })_{ }co_{ }-h_{ }o; this still further complicates the chemical transformations of the carbonates of ammonium. it is in fact evident that, by changing the ratios of water, ammonia, and carbonic acid, various intermediate salts will be formed containing mixtures or combinations of those mentioned above. thus the ordinary commercial _carbonate of ammonia_ is obtained by heating a mixture of chalk and sulphate of ammonia (chapter vi.), or sal-ammoniac, nh_{ }cl + caco_{ } = cacl_{ } + (nh_{ })_{ }co_{ }. the normal salt, however, through loss of part of the ammonia, partly forms the acid salt, and, partly through loss of water, forms carbamate, and most frequently presents the composition nh_{ }o(conh_{ }) + oh(co_{ }nh_{ }) = nh_{ } + co_{ } + h_{ }o. this salt, in parting under various conditions with ammonia, carbonic anhydride, and water, does not present a constant composition, and ought rather to be regarded as a mixture of acid salt and amide salt. the latter must be recognised as entering into the composition of the ordinary carbonate of ammonia, because it contains less water than is required for the normal or acid salt;[ ] but on being dissolved in water this salt gives a mixture of acid and normal salts. [ ] the acid salt, (nh_{ })hco_{ }, on losing water ought to form the _carbamic acid_, oh(cnh_{ }o); but it is not formed, which is accounted for by the instability of the acid salt itself. carbonic anhydride is given off and ammonia is produced, which gives ammonium carbamate. [ ] in the normal salt, nh_{ } + co_{ } + h_{ }o, in the acid salt, nh_{ } + co_{ } + h_{ }o, but in the commercial salt only h_{ }o to co_{ }. each of the two ammoniacal salts of carbonic acid has its corresponding amide. that of the acid salt should be acid, if the water given off takes up the hydrogen of the ammonia, as it should according to the common type of formation of the amides, so that ohconh_{ }, or _carbamic acid_, is formed from ohco_{ }nh_{ }. this acid is not known in a free state, but its corresponding ammoniacal salt or _ammonium carbamate_ is known. the latter is easily and immediately formed by mixing volumes of _dry_ ammonia with volume of dry carbonic anhydride, nh_{ } + co_{ } = nh_{ }o(conh_{ }); it is a solid substance, smells strongly of ammonia, attracts moisture from the air, and decomposes completely at °. the fact of this decomposition may be proved[ ] by the density of its vapour, which = (h = ); this exactly corresponds with the density of a mixture of volumes of ammonia and volume of carbonic anhydride. it is easily understood that such a combination will take place with any ammonium carbonate under the action of salts which take up the water--for instance, sodium or potassium carbonate[ ]--as in an anhydrous state ammonia and carbonic anhydride only form one compound, co_{ } nh_{ }.[ ] as the normal ammonium carbonate contains two ammonias, and as the amides are formed with the separation of water at the expense of the hydrogen of the ammonias, so this salt has its symmetrical amide, co(nh_{ })_{ }. this must be termed carbamide. it is identical with urea, cn_{ }h_{ }o, which, contained in the urine (about per cent. in human urine), is for the higher animals (especially the carnivorous) the ordinary product of excretion[ ] and oxidation of the nitrogenous substances found in the organism. if ammonium carbamate be heated to ° (in a sealed tube, bazaroff), or if carbonyl chloride, cocl_{ }, be treated with ammonia (natanson), urea will be obtained, which shows its direct connection with carbonic acid--that is, the presence of carbonic acid and ammonia in it. from this it will be understood how urea during the putrefaction of urine is converted into ammonium carbonate, cn_{ }h_{ }o + h_{ }o = co_{ } + nh_{ }. [ ] naumann determined the following dissociation tensions of the vapour of ammonium carbamate (in millimetres of mercury):-- - ° ° + ° ° ° ° ° ° horstmann and isambert studied the tensions corresponding to excess of nh_{ } or co_{ }, and found, as might have been expected, that with such excess the mass of the salt formed (in a solid state) increases and the decomposition (transition into vapour) decreases. [ ] calcium chloride enters into double decomposition with ammonium carbamate. acids (for instance, sulphuric) take up ammonia, and set free carbonic anhydride; whilst alkalis (such as potash) take up carbonic anhydride and set free ammonia, and therefore, in this case for removing water only sodium or potassium carbonate can be taken. an aqueous solution of ammonium carbamate does not entirely precipitate a solution of cacl_{ }, probably because calcium carbamate is soluble in water, and all the (nh_{ })_{ }co_{ } is not converted by dissolving into the normal salt, (nh_{ }o)_{ }co_{ }. [ ] it must be imagined that the reaction takes place at first between equal volumes (chapter vii.); but then carbamic acid, ho(cnh_{ }o), is produced, which, as an acid, immediately combines with the ammonia, forming nh_{ }o(cnh_{ }o). [ ] urea is undoubtedly a product of the oxidation of complex nitrogenous matters (albumin) of the animal body. it is found in the blood. it is absorbed from the blood by the kidneys. a man excretes about grams of urea per day. as a derivative of carbonic anhydride, into which it is readily converted, urea is in a sense a product of oxidation. thus urea, both by its origin and decomposition, is an amide of carbonic acid. representing as it does ammonia (two molecules) in which hydrogen (two atoms) is replaced by the bivalent radicle of carbonic acid, urea retains the property of ammonia of entering into combination, with acids (thus nitric acid forms cn_{ }h_{ }o,hno_{ }), with bases (for instance, with mercury oxide), and with salts (such as sodium chloride, ammonium chloride), but containing an acid residue it has no alkaline properties. it is soluble in water without change, but at a red heat loses ammonia and forms _cyanic acid_, cnho,[ bis] which is a nitrile of carbonic acid--that is to say, is a cyanogen compound, corresponding to the acid ammonium carbonate, oh(cnh_{ }o_{ }), which on parting with h_{ }o ought to form cyanic acid, cnoh. liquid cyanic acid, exceedingly unstable at the ordinary temperatures, gives its stable solid polymer cyanuric acid, o_{ }h_{ }c_{ }n_{ }. both have the same composition, and they pass one into another at different temperatures. if crystals of cyanuric acid be heated to a temperature, _t_°, then the vapour tension, _p_, in millimetres of mercury (troost and hautefeuille) will be: _t._ °, °, °, °, °, ° _p._ , , , , , , the vapour contains cyanic acid, and, if it be rapidly cooled, it condenses into a mobile volatile liquid (specific gravity at ° = · ). if the liquid cyanic acid be gradually heated, it passes into a new amorphous polymeride (cyamelide), which, on being heated, like cyanuric acid, forms vapours of cyanic acid. if these fumes are heated above ° they pass directly into cyanuric acid. thus at a temperature of °, the pressure does not rise above , mm. on the addition of vapours of cyanic acid, because the whole excess is transformed into cyanuric acid. hence, the above-mentioned figures give the tension of dissociation of cyanuric acid, or the greatest pressure which the vapours of hocn are able to attain at a given temperature, whilst at a greater pressure, or by the introduction of a larger mass of the substance into a given volume, the whole of the excess is converted into cyanuric acid. the properties of cyanic acid which we have described were principally observed by wöhler, and clearly show the _faculty of polymerisation of cyanogen compounds_. this is observed in many other cyanogen derivatives, and is to be regarded as the consequence of the above-mentioned explanation of their nature. all cyanogen compounds are ammonium salts, r(cnh_{ }o_{ }), deprived of water, h_{ }o; therefore the molecules, rcn, ought to possess the faculty of combining with two molecules of water or with other molecules in exchange for it (for instance, with h_{ }s, or hcl, or h_{ }, &c.), and are therefore capable of combining together. the combination of molecules of the same kind to form more complex ones is what is meant by polymerisation.[ ] [ bis] its polymer, c_{ }n_{ }h_{ }o_{ }, is formed together with it. cyanic acid is a very unstable, easily changeable liquid, while cyanuric acid is a crystalline solid which is very stable at the ordinary temperature. [ ] just as the aldehydes (such as c_{ }h_{ }o) are alcohols (like c_{ }h_{ }o) which have lost hydrogen and are also capable of entering into combination with many substances, and of polymerising, forming slightly volatile polymerides, which depolymerise on heating. although there are also many similar phenomena (for instance, the transformation of yellow into red phosphorus, the transition of cinnamene into metacinnamene, &c.) of polymerisation, in no other case are they so clearly and simply expressed as in cyanic acid. the details relating to this must be sought for in treatises on organic and theoretical chemistry. if we touch on certain sides of this question it is principally with the view of showing the phenomenon of polymerisation by typical examples, for it is of more frequent occurrence than was formerly supposed among compounds of several elements. besidea being a substance very prone to form polymerides, cyanic acid presents many other features of interest, expounded in greater detail in organic chemistry. however we may mention here the production of the cyanates by the oxidation of the metallic cyanides. potassium cyanate, kcno, is most often obtained in this way. solutions of cyanates by the addition of sulphuric acid yield cyanic acid, which, however, immediately decomposes: cnho + h_{ }o = co_{ } + nh_{ }. a solution of ammonium cyanate, cn(nh_{ })o, behaves in the same manner, but only in the cold. on being heated it completely changes because it is transformed into urea. the composition of both substances is identical, cn_{ }h_{ }o, but the structure, or disposition of, and connection between, the elements is different: in the ammonium cyanate one atom of nitrogen exists in the form of cyanogen, cn--that is, united with carbon--and the other as ammonium, nh_{ }, but, as cyanic acid contains the hydroxyl radicle of carbonic acid, oh(cn), the ammonium in this salt is united with oxygen. the composition of this salt is best expressed by supposing one atom of the hydrogen in water to be replaced by ammonium and the other by cyanogen--_i.e._ that its composition is not symmetrical--whilst in urea both the nitrogen atoms are symmetrically and uniformly disposed as regards the radicle co of carbonic acid: co(nh_{ })_{ }. for this reason, urea is much more stable than ammonium cyanate, and therefore the latter, on being slightly heated in solution, is converted into urea. this remarkable isomeric transformation was discovered by wöhler in .[ ] formamide, hconh_{ }, and _hydrocyanic acid_, hcn, as a nitrile, correspond with formic acid, hcooh, and therefore ammonium formate, hcoonh_{ }, and formamide, when acted on by heat and by substances which take up water (phosphoric anhydride) form hydrocyanic acid, hcn, whilst, under many conditions (for instance, on combining with hydrochloric acid in presence of water), this hydrocyanic acid forms formic acid and ammonia. although containing hydrogen in the presence of two acid-forming elements--namely, carbon and nitrogen[ ]--hydrocyanic acid does not give an acid reaction with litmus (cyanic acid has very marked acid properties); _but it forms salts_, _mcn_, thus presenting the properties of a feeble acid, and for this reason is called an _acid_. the small amount of energy which it has is shown by the fact that the cyanides of the alkali metals--for instance, potassium cyanide (kho + hcn = h_{ } + kcn) in solution have a strongly alkaline reaction.[ ] if ammonia be passed over charcoal at a red heat, especially in the presence of an alkali, or if gaseous nitrogen be passed through a mixture of charcoal and an alkali (especially potash, kho), and also if a mixture of nitrogenous organic substances and alkali be heated to a red heat, in all these cases the alkali metal combines with the carbon and nitrogen, forming a metallic cyanide, mcn--for example, kcn.[ bis] potassium cyanide is much used in the arts, and is obtained, as above stated, under many circumstances--as, for instance, in iron smelting, especially with the assistance of wood charcoal, the ash of which contains much potash. the nitrogen of the air, the alkali of the ash, and the charcoal are brought into contact at a high temperature during iron smelting, and therefore, under these conditions, a considerable quantity of potassium cyanide is formed. in practice it is not usual to prepare potassium cyanide directly, but a peculiar compound of it containing potassium, iron, and cyanogen. this compound is potassium ferrocyanide, and is also known as _yellow prussiate of potash_. this saline substance (_see_ chapter xxii) has the composition k_{ }fec_{ }n_{ } + h_{ }o. the name of cyanogen ([greek: kuanos]) is derived from the property which this yellow prussiate possesses of forming, with a solution of a ferric salt, fex_{ }, the familiar pigment prussian blue. the yellow prussiate is manufactured on a large scale, and is generally used as the source of the other cyanogen compounds. [ ] it has an important historical interest, more especially as at that time such an easy preparation of substances occurring in organisms without the aid of organic life was quite unexpected, for they were supposed to be formed under the influence of the forces acting in organisms, and without the latter their formation was considered impossible. and in addition to destroying this illusion, the easy transition of nh_{ }ocn into co(nh_{ })_{ } is the best example of the passage of one system of equilibrium of atoms into another more stable system. [ ] if ammonia and methane (marsh gas) do not show any acid properties, that is in all probability due to the presence of a large amount of hydrogen in both; but in hydrocyanic acid one atom of hydrogen is under the influence of two acid-forming elements. acetylene, c_{ }h_{ }, which contains but little hydrogen, presents acid properties in certain respects, for its hydrogen is easily replaced by metals. hydronitrous acid, hn_{ }, which contains little hydrogen, also has the properties of an acid. [ ] solutions of cyanides--for instance, those of potassium or barium--are decomposed by carbonic acid. even the carbonic anhydride of the air acts in a similar way, and for this reason these solutions do not keep, because, in the first place, free hydrocyanic acid itself decomposes and polymerises, and, in the second place, with alkaline liquids it forms ammonia and formic acid. hydrocyanic acid does not liberate carbonic anhydride from solutions of sodium or potassium carbonates. but a mixture of solutions of potassium carbonate and hydrocyanic acid yields carbonic anhydride on the addition of oxides like zinc oxide, mercuric oxide, &c. this is due to the great inclination which the cyanides exhibit of forming double salts. for instance, znk_{ }(cn)_{ } is formed, which is a soluble double salt. [ bis] the conversion of the atmospheric nitrogen into cyanogen compounds, although possible, has not yet been carried out on a large scale, and one of the problems for future research should be the discovery of a practical and economical means of converting the atmospheric nitrogen into metallic cyanides, not only because potassium cyanide has found a vast and important use for the extraction of gold from even the poorest ores, but more especially because the cyanides furnish the means for effecting the synthesis of many complex carbon compounds, and the nitrogen contained in cyanogen easily passes into other forms of combination such as ammonia, which is of great importance in agriculture. if four parts of yellow prussiate be mixed with eight parts of water and three parts of sulphuric acid, and the mixture be heated, it decomposes, volatile hydrocyanic acid separating. this was obtained for the first time by scheele in , but it was only known to him in solution. in ittner prepared anhydrous prussic acid, and in gay-lussac finally settled its properties and showed that it contains only hydrogen, carbon, and nitrogen, cnh. if the distillate (a weak solution of hcn) be redistilled, and the first part collected, the anhydrous acid may be prepared from this stronger solution. in order to do this, pieces of calcium chloride are added to the concentrated solution, when the anhydrous acid floats as a separate layer, because it is not soluble in an aqueous solution of calcium chloride. if this layer be then distilled over a new portion of calcium chloride at the lowest temperature possible, the prussic acid may be obtained completely free from water. it is, however, necessary to use the greatest caution in work of this kind, because prussic acid, besides being extremely poisonous, is exceedingly volatile.[ ] [ ] the mixture of the vapours of water and hydrocyanic acid, evolved on heating yellow prussiate with sulphuric acid, may be passed directly through vessels or tubes filled with calcium chloride. these tubes must be cooled, because, in the first place, hydrocyanic acid easily changes on being heated, and, in the second place, the calcium chloride when warm would absorb less water. the mixture of hydrocyanic acid and aqueous vapour on passing over a long layer of calcium chloride gives up water, and hydrocyanic acid alone remains in the vapour. it ought to be cooled as carefully as possible in order to bring it into a liquid condition. the method which gay-lussac employed for obtaining pure hydrocyanic acid consisted in the action of hydrochloric acid gas on mercuric cyanide. the latter may he obtained in a pure state if a solution of yellow prussiate be boiled with a solution of mercuric nitrate, filtered, and crystallised by cooling; the mercuric cyanide is then obtained in the form of colourless crystals, hg(cn)_{ }. if a strong solution of hydrochloric acid be poured upon these crystals, and the mixture of vapours evolved, consisting of aqueous vapour, hydrochloric acid, and hydrocyanic acid, be passed through a tube containing, first, marble (for absorbing the hydrochloric acid), and then lumps of calcium chloride, on cooling the hydrocyanic acid will be condensed. in order to obtain the latter in an anhydrous form, the decomposition of heated mercury cyanide by hydrogen sulphide may be made use of. here the sulphur and cyanogen change places, and hydrocyanic acid and mercury sulphide are formed: hg(cn)_{ } + h_{ }s = hcn + hgs. anhydrous prussic acid is a very mobile and volatile liquid; its specific gravity is · at °; at lower temperatures, especially when mixed with a small quantity of water, it easily congeals; it boils at °, and therefore very easily evaporates, and at ordinary temperatures may be regarded as a gas. an insignificant amount, when inhaled or brought into contact with the skin, causes death. it is soluble in all proportions in water, alcohol, and ether: weak aqueous solutions are used in medicine.[ ] [ ] a weak (up to p.c.) aqueous solution of hydrocyanic acid is obtained by the distillation of certain vegetable substances. the so-called laurel water in particular enjoys considerable notoriety from its containing hydrocyanic acid. it is obtained by the steeping and distillation of laurel leaves. a similar kind of water is formed by the infusion and distillation of bitter almonds. it is well known that bitter almonds are poisonous, and have a peculiar characteristic taste. this bitter taste is due to the presence of a certain substance called amygdalin, which can be extracted by alcohol. this amygdalin decomposes in an infusion of bruised almonds, forming the so-called bitter almond oil, glucose, and hydrocyanic acid: c_{ }h_{ }no_{ } + h_{ }o = c_{ }h_{ }o + cnh + c_{ }h_{ }o_{ } amygdalin in water bitter hydrocyanic glucose bitter almonds almond acid oil if after this the infusion of bitter almonds be distilled with water, the hydrocyanic acid and the volatile bitter almond oil are carried over with the aqueous vapour. the oil is insoluble in water, or only sparingly soluble, while the hydrocyanic acid remains as an aqueous solution. bitter almond water is similar to laurel water, and is used like the former in medicine, naturally only in small quantities because any considerable amount has poisonous effects. perfectly pure anhydrous hydrocyanic acid keeps without change, just like the weak solutions, but the strong solutions only keep in the presence of other acids. in the presence of many admixtures these solutions easily give a brown polymeric substance, which is also formed in a solution of potassium cyanide. the salts mcn--for instance, potassium, sodium, ammonium--as well as the salts m´´(cn)_{ }--for example, barium, calcium, mercury--are soluble in water, but the cyanides of manganese, zinc, lead, and many others are insoluble in water. they form double salts with potassium cyanide and similar metallic cyanides, an example of which we will consider in a further description of the yellow prussiate. not only are some of the double salts remarkable for their constancy and comparative stability, but so also are the soluble salt hgc_{ }n_{ }, the insoluble silver cyanide agcn, and even potassium cyanide in the absence of water. the last salt,[ ] when fused, acts as a reducing agent with its elements k and c, and oxidises when fused with lead oxide, forming potassium cyanate, kocn, which establishes the connection between hcn and ohcn--that is, between the nitriles of formic and carbonic acids--and this connection is the same as that between the acids themselves, since formic acid, on oxidation, yields carbonic acid. free cyanogen, (cn)_{ } or cncn, corresponds to hydrocyanic acid in the same manner as free chlorine, cl_{ } or clcl, corresponds to hydrochloric acid. this composition, judging from what has been already stated, exactly expresses that of the nitrile of oxalic acid, and, as a matter of fact, oxalate of ammonia and the amide corresponding with it (oxamide, note ), on being heated with phosphoric anhydride, which takes up the water, yield _cyanogen_, (cn)_{ }. this substance is also produced by simply heating some of the metallic cyanides. mercuric cyanide is particularly adapted for this purpose, because it is easily obtained in a pure state and is then very stable. if mercuric cyanide be heated, it decomposes, in like manner to mercury oxide, into metallic mercury and cyanogen: hgc_{ }n_{ } = hg + c_{ }n_{ }.[ ] when cyanogen is formed, part of it always polymerises into a dark brown insoluble substance called _paracyanogen_, capable of forming cyanogen when heated to redness.[ ] cyanogen is a colourless, poisonous gas, with a peculiar smell and easily condensed by cooling into a colourless liquid, insoluble in water and having a specific gravity of · . it boils at about - °, and therefore cyanogen may be easily condensed into a liquid by a strong freezing mixture. at - ° liquid cyanogen solidifies. the gas is soluble in water and in alcohol to a considerable extent--namely, volume of water absorbs as much as - / volumes, and alcohol volumes. cyanogen resists the action of a tolerably high temperature without decomposing, but under the action of the electric spark the carbon is separated, leaving a volume of nitrogen equal to the volume of the gas taken. as it contains carbon it burns, and the colour of the flame is reddish-violet, which is due to the presence of nitrogen, all compounds of which impart more or less of this reddish-violet hue to the flame. during the combustion of cyanogen, carbonic anhydride and nitrogen are formed. the same products are obtained in the eudiometer with oxygen or by the action of cyanogen on many oxides at a red heat. [ ] this salt will be described in chapter xiii. [ ] for the preparation it is necessary to take completely dry mercuric cyanide, because when heated in the presence of moisture it gives ammonia, carbonic anhydride, and hydrocyanic acid. instead of mercuric cyanide, a mixture of perfectly dry yellow prussiate and mercuric chloride may be used, then double decomposition and the formation of mercuric cyanide take place in the retort. silver cyanide also disengages cyanogen, on being heated. [ ] _paracyanogen_ is a brown substance (having the composition of cyanogen) which is formed during the preparation of cyanogen by all methods, and remains as a residue. silver cyanide, on being slightly heated, fuses, and on being further heated evolves a gas; a considerable quantity of paracyanogen remains in the residue. here it is remarkable that exactly half the cyanogen becomes gaseous, and the other half is transformed into paracyanogen. metallic silver will be found in the residue with the paracyanogen; it may be extracted with mercury or nitric acid, which does not act on paracyanogen. if paracyanogen be heated in a vacuum it decomposes, forming cyanogen; but here the pressure _p_ for a given temperature _t_ cannot exceed a certain limit, so that the phenomenon presents all the external appearance of a physical transformation into vapour; but, nevertheless, it is a complete change in the nature of the substance, though limited by the _pressure of dissociation_, as we saw before in the transformation of cyanuric into hydrocyanic acid, and as would be expected from the fundamental principles of dissociation. troost and hautefeuille ( ) found that for paracyanogen, _t_ = ° ° ° ° _p_ = , mm. however, even at ° part of the cyanogen decomposes into carbon and nitrogen. the reverse transition of cyanogen into paracyanogen commences at °, and at ° proceeds rapidly. and if the transition of the first kind is likened to evaporation, then the reverse transition, or polymerisation, presents a likeness to the transition of vapours into the solid state. the relation of cyanogen to the metallic cyanides is seen not only in the fact that it is formed from mercuric cyanide, but also by its forming cyanide of sodium or potassium on being heated with either of those metals, the sodium or potassium taking fire in the cyanogen. on heating a mixture of hydrogen and cyanogen to ° (berthelot),[ ] or under the action of the silent discharge (boilleau), hydrocyanic acid is formed, so that the reciprocity of the transitions does not leave any doubt in the matter that all the nitriles of the organic acids contain cyanogen, just as all the organic acids contain carboxyl and in it the elements of carbonic anhydride. besides the amides,[ ] the nitriles (or cyanogen compounds, rcn), and nitro-compounds (containing the radicle of nitric acid, rno_{ }), there are a great number of other substances containing at the same time carbon and nitrogen, particulars of which must be sought for in special works on organic chemistry. [ ] cyanogen (like chlorine) is absorbed by a solution of sodium hydroxide, sodium cyanide and cyanate being produced: c_{ }n_{ } + naho = nacn + cnnao + h_{ }o. but the latter salt decomposes relatively easily, and moreover part of the cyanogen liberated by heat from its compounds undergoes a more complex transformation. [ ] if, in general, compounds containing the radicle nh_{ } are called amides, some of the _amines_ ought to be ranked with them; namely, the hydrocarbons c_{_n_}h_{ _m_}, in which part of the hydrogen is replaced by nh_{ }; for instance, methylamine, ch_{ }nh_{ }, aniline, c_{ }h_{ }nh_{ }, &c. in general the amines may be represented as ammonia in which part or all of the hydrogen is replaced by hydrocarbon radicles--as, for example, trimethylamine, n(ch_{ })_{ }. they, like ammonia, combine with acids and form crystalline salts. analogous substances are sometimes met with in nature, and bear the general name of _alkaloids_; such are, for instance, quinine in cinchona bark, nicotine in tobacco, &c. chapter x sodium chloride--berthollet's laws--hydrochloric acid in the preceding chapters we have become acquainted with the most important properties of the four elements, hydrogen, oxygen, nitrogen, and carbon. they are sometimes termed the _organogens_, because they enter into the composition of organic substances. their mutual combinations may serve as types for all other chemical compounds--that is, they present the same atomic relations (types, forms, or grades of combinations) as those in which the other elements also combine together. hydrogen, hh, or, in general, hr. water, h_{ }o, " " h_{ }r. ammonia, h_{ }n, " " h_{ }r. marsh gas, h_{ }c, " " h_{ }r. one, two, three, and four atoms of hydrogen enter into these molecules for one atom of another element. no compounds of one atom of oxygen with three or four atoms of hydrogen are known; hence the atom of oxygen does not possess certain properties which are found in the atoms of carbon and nitrogen. the faculty of an element to form a compound of definite composition with hydrogen (or an element analogous to it) gives the possibility of foretelling the composition of many other of its compounds. thus, if we know that an element, m, combines with hydrogen, forming, by preference, a gaseous substance such as hm, but not forming h_{ }m, h_{ }m, h_{n}m_{m}, then we must conclude, on the basis of the law of substitution, that this element will give compounds m_{ }o, m_{ }n, mho, mh_{ }c, &c. chlorine is an example of this kind. if we know that another element, r, like oxygen, gives with hydrogen a molecule h_{ }r, then we may expect that it will form compounds similar to hydrogen peroxide, the metallic oxides, carbonic anhydride, or carbonic oxide, and others. sulphur is an instance of this kind. hence the elements may be classified according to their resemblance to hydrogen, oxygen, nitrogen, and carbon, and in conformity with this analogy it is possible to foretell, if not the properties (for example, the acidity or basicity), at any rate the composition,[ ] of some of their compounds. this forms the substance of _the conception of the valency or atomicity of the elements_. hydrogen is taken as the representative of the univalent elements, giving compounds, rh, r(oh), r_{ }o, rcl, r_{ }n, r_{ }c, &c. oxygen, in that form in which it gives water, is the representative of the bivalent elements, forming rh_{ }, ro, rcl_{ }, rhcl, r(oh)cl, r(oh)_{ }, r_{ }c, rcn, &c. nitrogen in ammonia is the representative of the trivalent elements, giving compounds rh_{ }, r_{ }o_{ }, r(oh)_{ }, rcl_{ }, rn, rhc, &c. in carbon are exemplified the properties of the quadrivalent elements, forming rh_{ }, ro_{ }, ro(oh)_{ }, r(oh)_{ }, rhn, rcl_{ }, rhcl_{ }, &c. we meet with these _forms of combination_, or degrees of union of atoms, in all other elements, some being analogous to hydrogen, others to oxygen, and others to nitrogen or to carbon. but besides these quantitative analogies or resemblances, which are foretold by the law of substitution (chapter vi.), there exist among the elements qualitative analogies and relations which are not fully seen in the compounds of the elements which have been considered, but are most distinctly exhibited in the formation of bases, acids, and salts of different types and properties. therefore, for a complete study of the nature of the elements and their compounds it is especially important to become acquainted with the salts, as substances of a peculiar character, and with the corresponding acids and bases. common table salt, or sodium chloride, nacl, may in every respect be taken as a type of salts in general, and we will therefore pass to the consideration of this substance, and of hydrochloric acid, and of the base sodium hydroxide, formed by the non-metal chlorine and the metal sodium, which correspond with it. [ ] but it is impossible to foretell all the compounds formed by an element from its atomicity or valency, because the atomicity of the elements is variable, and furthermore this variability is not identical for different elements. in co_{ }, cox_{ }, ch_{ }, and the multitude of carbon compounds corresponding with them, the c is quadrivalent, but in co either the carbon must be taken as bivalent or the atomicity of oxygen be accounted as variable. moreover, carbon is an example of an element which preserves its atomicity to a greater degree than most of the other elements. nitrogen in nh_{ }, nh_{ }(oh), n_{ }o_{ }, and even in cnh, must be considered as trivalent, but in nh_{ }cl, no_{ }(oh), and in all their corresponding compounds it is necessarily pentavalent. in n_{ }o, if the atomicity of oxygen = , nitrogen has an uneven atomicity ( , , ), whilst in no it is bivalent. if sulphur be bivalent, like oxygen, in many of its compounds (for example, h_{ }s, scl_{ }, khs, &c.), then it could not be foreseen from this that it would form so_{ }, so_{ }, scl_{ }, socl_{ }, and a series of similar compounds in which its atomicity must be acknowledged as greater than . thus so_{ }, sulphurous anhydride, has many points in common with co_{ }, and if carbon be quadrivalent then the s in so_{ } is quadrivalent. therefore the principle of atomicity (valency) of the elements cannot be considered established as the basis for the study of the elements, although it gives an easy method of grasping many analogies. i consider the four following as the chief obstacles to acknowledging the atomicity of the elements as a primary conception for the consideration of the properties of the elements: . such univalent elements as h, cl, &c., appear in a free state as molecules h_{ }, cl_{ }, &c., and are consequently like the univalent radicles ch_{ }, oh, co_{ }h, &c., which, as might be expected, appear as c_{ }h_{ }, o_{ }h_{ }, c_{ }o_{ }h_{ } (ethane, hydrogen peroxide, oxalic acid), whilst on the other hand, potassium and sodium (perhaps also iodine at a high temperature) contain only one atom, k, na, in the molecule in a free state. hence it follows that _free affinities_ may exist. granting this, nothing prevents the assumption that free affinities exist in all unsaturated compounds; for example, two free affinities in nh_{ }. if such instances of free affinities be admitted, then all the possible advantages to be gained by the application of the doctrine of atomicity (valency) are lost. . there are instances--for example, na_{ }h--where univalent elements are combined in molecules which are more complex than r_{ }, and form molecules, r_{ }, r_{ }, &c.; this may again be either taken as evidence of the existence of free affinities, or else necessitates such primary univalent elements as sodium and hydrogen being considered as variable in their atomicity. . the periodic system of the elements, with which we shall afterwards become acquainted, shows that there is a law or rule for the variation of the forms of oxygen and hydrogen compounds; chlorine is univalent with respect to hydrogen, and septavalent with respect to oxygen; sulphur is bivalent to hydrogen, and sexavalent to oxygen; phosphorus is trivalent to hydrogen and pentavalent in respect to oxygen--the sum is in every case equal to . only carbon and its analogues (for example, silicon) are quadrivalent to both hydrogen and oxygen. hence the power of the elements to change their atomicity is an essential part of their nature, and therefore constant valency cannot he considered as a fundamental property. . crystallo-hydrates (for instance, nacl, h_{ }o, or nabr, h_{ }o), double salts (such as ptcl_{ }, kcl,h_{ }sif_{ }, &c.), and similar complex compounds (and, according to chap. i., solutions also) demonstrate the capacity not only of the elements themselves, but also of their saturated and limiting compounds, of entering into further combination. therefore the admission of a definite limited atomicity of the elements includes in itself an admission of limitation which is not in accordance with the nature of chemical reactions. _sodium chloride_, nacl, the familiar table salt, occurs, although in very small quantities, in all the primary formations of the earth's crust,[ ] from which it is washed away by the atmospheric waters; it is contained in small quantities in all waters flowing through these formations, and is in this manner conveyed to the oceans and seas. the immense mass of salt in the oceans has been accumulated by this process from the remote ages of the earth's creation, because the water has evaporated from them while the salt has remained in solution. the salt of sea water serves as the source not only for its direct extraction, but also for the formation of other masses of workable salt, such as rock salt, and of saline springs and lakes.[ bis] [ ] the primary formations are those which do not bear any distinct traces of having been deposited from water (have not a stratified formation and contain no remains of animal or vegetable life), occur under the sedimentary formations of the earth, and are everywhere uniform in composition and structure, the latter being generally distinctly crystalline. if it be assumed that the earth was originally in a molten condition, the first primary formations are those which formed the first solid crust of the earth. but even with this hypothesis of the earth's origin, it is necessary to admit that the first aqueous deposits must have caused a change in the original crust of the earth, and therefore under the head of primary formations must be understood the most ancient of the products of decomposition (mostly by atmospheric, aqueous, and organic agency, &c.), from which all the rocks and substances of the earth's surface have arisen. in speaking of the origin of one or another substance, we can only, on the basis of facts, descend to the primary formations, of which granite, gneiss, and trachyte may be taken as examples. [ bis] chloride of sodium has been found to occur in the atmosphere in the form of a fine dust; in the lower strata it is present in larger quantities than in the upper, so that the rain water falling on mountains contains less nacl than that falling in valleys. müntz ( ) found that a litre of rain water collected on the summit of the pic du midi ( , metres above the sea level) contained · milligram of chloride of sodium, while a litre of rain collected from the valley contained · - · milligrams. the extraction of salt _from sea water_ is carried on in several ways. in southern climes, especially on the shores of the atlantic ocean and the mediterranean and black seas, the summer heats are taken advantage of. a convenient low-lying sea shore is chosen, and a whole series of basins, communicating with each other, are constructed along it. the upper of these basins are filled with sea water by pumping, or else advantage is taken of high tides. these basins are sometimes separated from the sea by natural sand-banks (limans) or by artificial means, and in spring the water already begins to evaporate considerably. as the solution becomes more concentrated, it is run into the succeeding basins, and the upper ones are supplied with a fresh quantity of sea water, or else an arrangement is made enabling the salt water to flow by degrees through the series of basins. it is evident that the beds of the basins should be as far as possible impervious to water, and for this purpose they are made of beaten clay. the crystals of salt begin to separate out when the concentration attains p.c. of salt (which corresponds to ° of baumé's hydrometer). they are raked off, and employed for all those purposes to which table salt is applicable. in the majority of cases only the first half of the sodium chloride which can be separated from the sea water is extracted, because the second half has a bitter taste from the presence of magnesium salts which separate out together with the sodium salt. but in certain localities--as, for instance, in the estuary of the rhone, on the island of camarga[ ]--the evaporation is carried on to the very end, in order to obtain those magnesium and potassium salts which separate out at the end of the evaporation of sea water. various salts are separated from sea water in its evaporation. from parts of sea water there separates out, by natural and artificial evaporation, about one part of tolerably pure table salt at the very commencement of the operation; the total amount held in solution being about - / p.c. the remaining portion separates out intermixed with the bitter salts of magnesium which, owing to their solubility and the small amount in which they are present (less than p.c.), only separate out, in the first crystallisations, in traces. gypsum, or calcium sulphate, caso_{ }, h_{ }o, because of its sparing solubility, separates together with or even before the table salt. when about half of the latter has separated, then a mixture of table salt and magnesium sulphate separates out, and on still further evaporation the chlorides of potassium and magnesium begin to separate in a state of combination, forming the double salt kmgcl_{ }, h_{ }o, which occurs in nature as _carnallite_.[ ] after the separation of this salt from sea water, there remains a mother liquor containing a large amount of magnesium chloride in admixture with various other salts.[ ] the extraction of sea salt is usually carried on for the purpose of procuring table salt, and therefore directly it begins to separate mixed with a considerable proportion[ ] of magnesium salts (when it acquires a bitter taste) the remaining liquor is run back into the sea. [ ] the extraction of the potassium salts (or so-called summer salts) was carried on at the isle of camarga about , when i had occasion to visit that spot. at the present time the deposits of stassfurt provide a much cheaper salt, owing to the evaporation and separation of the salt being carried on there by natural means and only requiring a treatment and refining, which is also necessary in addition for the 'summer salt' obtained from sea-water. [ ] the double salt kcl,mgcl_{ } is a crystallohydrate of kcl and mgcl_{ }, and is only formed from solutions containing an excess of magnesium chloride, because water decomposes this double salt, extracting the more soluble magnesium chloride from it. [ ] owing to the fundamental property of salts of interchanging their metals, it cannot be said that sea water contains this or that salt, but only that it contains certain amounts of certain metals m (univalent like na and k, and bivalent like mg and ca), and haloids x (univalent like cl, br, and bivalent like so_{ }, co_{ }), which are disposed in every possible kind of grouping; for instance, k as kcl, kbr, k_{ }so_{ }, mg as mgcl_{ }, mgbr_{ }, mgso_{ }, and so on for all the other metals. in evaporation different salts separate out consecutively only because they reach saturation. a proof of this may be seen in the fact that a solution of a mixture of sodium chloride and magnesium sulphate (both of which salts are obtained from sea water, as was mentioned above), when evaporated, deposits crystals of these salts, but when refrigerated (if the solution be sufficiently saturated) the salt na_{ }so_{ }, h_{ }o is first deposited because it is the first to arrive at saturation at low temperatures. consequently this solution contains mgcl_{ } and na_{ }so_{ }, besides mgso_{ } and nacl. so it is with sea water. [ ] the salt extracted from water is piled up in heaps and left exposed to the action of rain water, which purifies it, owing to the water becoming saturated with sodium chloride and then no longer dissolving it, but washing out the impurities. the same process which is employed for artificially obtaining salt in a crystalline form from sea water has been repeatedly accomplished during the geological evolution of the earth on a gigantic scale; upheavals of the earth have cut off portions of the sea from the remainder (as the dead sea was formerly a part of the mediterranean, and the sea of aral of the caspian), and their water has evaporated and formed (if the mass of the inflowing fresh water were less than that of the mass evaporated) deposits of _rock salt_. it is always accompanied by gypsum, because the latter is separated from sea water with or before the sodium chloride. for this reason rock salt may always be looked for in those localities where there are deposits of gypsum. but inasmuch as the gypsum remains on the spot where it has been deposited (as it is a sparingly soluble salt), whilst the rock salt (as one which is very soluble) may be washed away by rain or fresh running water, it may sometimes happen that although gypsum is still found there may be no salt; but, on the other hand, where there is rock salt there will always be gypsum. as the geological changes of the earth's surface are still proceeding at the present day, so in the midst of the dry land salt lakes are met with, which are sometimes scattered over vast districts formerly covered by seas now dried up. such is the origin of many of the salt lakes about the lower portions of the volga and in the kirghiz steppes, where at a geological epoch preceding the present the aralo-caspian sea extended. such are the baskunchaksky (in the government of astrakhan, square kilometres superficial area), the eltonsky ( versts from the left bank of the volga, and square kilometres in superficial area), and upward of other salt lakes lying about the lower portions of the volga. in those in which the inflow of fresh water is less than that yearly evaporated, and in which the concentration of the solution has reached saturation, the _self-deposited_ salt is found already deposited on their beds, or is being yearly deposited during the summer months. certain limans, or sea-side lakes, of the azoff sea are essentially of the same character--as, for instance, those in the neighbourhood of henichesk and berdiansk. the saline soils of certain central asian steppes, which suffer from a want of atmospheric fresh water, are of the same origin. their salt originally proceeded from the salt of seas which previously covered these localities, and has not yet been washed away by fresh water. the main result of the above-described process of nature is the formation of masses of rock salt, which are, however, being gradually washed away by the subsoil waters flowing in their neighbourhood, and afterwards rising to the surface in certain places as _saline springs_, which indicate the presence of masses of deposited rock salt in the depths of the earth. if the subsoil water flows along a stratum of salt for a sufficient length of time it becomes saturated; but in flowing in its further course along an impervious stratum (clay) it becomes diluted by the fresh water leaking through the upper soil, and therefore the greater the distance of a saline spring from the deposit of rock salt, the poorer will it be in salt. a perfectly saturated brine, however, may be procured from the depths of the earth by means of bore-holes. the deposits of rock salt themselves, which are sometimes hidden at great depths below the earth's strata, may be discovered by the guidance of bore-holes and the direction of the strata of the district. deposits of rock salt, about metres thick and metres below the surface, were discovered in this manner in the neighbourhood of brianstcheffky and dekonoffky, in the bakhmut district of the government of ekaterinoslav. large quantities of most excellent rock salt are now (since ) obtained from these deposits, whose presence was indicated by the neighbouring salt springs (near slaviansk and bakhmut) and by bore-holes which had been sunk in these localities for procuring strong (saturated) brines. but the stassfurt deposits of rock salt near magdeburg in germany are celebrated as being the first discovered in this manner, and for their many remarkable peculiarities.[ ] the plentiful distribution of saline springs in this and the neighbouring districts suggested the presence of deposits of rock salt in the vicinity. deep bore-holes sunk in this locality did in fact give a richer brine--even quite saturated with salt. on sinking to a still greater depth, the deposits of salt themselves were at last arrived at. but the first deposit which was met with consisted of a bitter salt unfit for consumption, and was therefore called refuse salt (_abraumsalz_). on sinking still deeper vast beds of real rock salt were struck. in this instance the presence of these upper strata containing salts of potassium, magnesium, and sodium is an excellent proof of the formation of rock salt from sea water. it is very evident that not only a case of evaporation to the end--as far, for instance, as the separation of carnallite--but also the preservation of such soluble salts as separate out from sea water after the sodium chloride, must be a very exceptional phenomenon, which is not repeated in all deposits of rock salt. the stassfurt deposits therefore are of particular interest, not only from a scientific point of view, but also because they form a rich source of potassium salts which have many practical uses.[ bis] [ ] when the german savants pointed out the exact locality of the stassfurt salt-beds and their depth below the surface, on the basis of information collected from various quarters respecting bore-holes and the direction of the strata, and when the borings, conducted by the government, struck a salt-bed which was bitter and unfit for use, there was a great outcry against science, and the doubtful result even caused the cessation of the further work of deepening the shafts. it required a great effort to persuade the government to continue the work. now, when the pure salt encountered below forms one of the important riches of germany, and when those 'refuse salts' have proved to be most valuable (as a source of potassium and magnesium), we should see in the utilisation of the stassfurt deposits one of the conquests of science for the common welfare. [ bis] in western europe, deposits of rock salt have long been known at wieliczka, near cracow, and at cardona in spain. in russia the following deposits are known: (_a_) the vast masses of rock salt ( square kilometres area and up to metres thick) lying directly on the surface of the earth at iletzky zastchit, on the left bank of the river ural, in the government of orenburg; (_b_) the chingaksky deposit, versts from the river volga, in the enotaeffsky district of the government of astrakhan; (_c_) the kulepinsky (and other) deposits (whose thickness attains metres), on the araks, in the government of erivan in the caucasus; (_d_) the katchiezmansky deposit in the province of kars; (_e_) the krasnovodsky deposit in the trans-caspian province; and (_f_) the bardymkulsky salt mines in kokhand. a saturated brine, formed by the continued contact of subsoil water with rock salt, is extracted by means of bore-holes, as, for instance, in the governments of perm, kharkoff, and ekaterinoslav. sometimes, as at berchtesgaden (and at hallein) in austria, spring water is run on to underground beds of rock salt containing much clay. [illustration: fig. .--graduator for the evaporation of the water of saline springs.] if a saline spring, or the salt water pumped from bore-holes, contains but little salt, then the first concentration of the natural solution is not carried on by the costly consumption of fuel, but by the cheaper method of evaporation by means of the wind. for this purpose so-called graduators are constructed: they consist of long and lofty sheds, which are sometimes several versts long, and generally extend in a direction at right angles to that of the usual course of the wind in the district. these sheds are open at the sides, and are filled with brushwood as shown in fig. . troughs, a b, c d, into which the salt water is pumped, run along the top. on flowing from these troughs, through the openings, _a_, the water spreads over the brushwood and distributes itself in a thin layer over it, so that it presents a very large surface for evaporation, in consequence of which it rapidly becomes concentrated in warm or windy weather. after trickling over the brushwood, the solution collects in a reservoir under the graduator, whence it is usually pumped up by the pumps p p´, and again run a second and third time through the graduator, until the solution reaches a degree of concentration at which it becomes profitable to extract the salt by direct heating. generally the evaporation in the graduator is not carried beyond a concentration of to parts of salt in parts of solution. strong natural solutions of salt, and also the graduated solutions, are evaporated in large shallow metallic vessels, which are either heated by the direct action of the flame from below or from above. these vessels are made of boiler plate, and are called salt-pans. various means are employed for accelerating the evaporation and for economising fuel, which are mainly based on an artificial draught to carry off the steam as it is formed, and on subjecting the saline solution to a preliminary heating by the waste heat of the steam and furnace gases. furthermore, the first portions of the salt which crystallise out in the salt-pans are invariably contaminated with gypsum, since the waters of saline springs always contain this substance. it is only the portions of the salt which separate later that are distinguished by their great purity. the salt is ladled out as it is deposited, left to drain on inclined tables and then dried, and in this manner the so-called bay salt is obtained. since it has become possible to discover the saline deposits themselves, the extraction of table salt from the water of saline springs by evaporation, which previously was in general use, has begun to be disused, and is only able to hold its ground in places where fuel is cheap. in order to understand the full importance of the extraction of salt, it need only be mentioned that on the average lbs. of table salt are consumed yearly per head of population, directly in food or for cattle. in those countries where common salt is employed in technical processes, and especially in england, almost an equal quantity is consumed in the production of substances containing chlorine and sodium, and especially in the manufacture of washing soda, &c., and of chlorine compounds (bleaching powder and hydrochloric acid). the yearly production of salt in europe amounts to as much as - / million tons. although certain lumps of rock salt and crystals of bay salt sometimes consist of almost pure sodium chloride, still the ordinary commercial salt contains various impurities, the most common of which are magnesium salts. if the salt be pure, its solution gives no precipitate with sodium carbonate, na_{ }co_{ }, showing the absence of magnesium salts, because magnesium carbonate, mgco_{ }, is insoluble in water. rock salt, which is ground for use, generally contains also a considerable admixture of clay and other insoluble impurities.[ ] for ordinary use the bulk of the salt obtained can be employed directly without further purification; but some salts are purified by solution and crystallisation of the solution after standing, in which case the evaporation is not carried on to dryness, and the impurities remain in the _mother liquor_ or in the sediment. when perfectly pure salt is required for chemical purposes it is best obtained as follows: a saturated solution of table salt is prepared, and hydrochloric acid gas is passed through it; this precipitates the sodium chloride (which is not soluble in a strong solution of hydrochloric acid), while the impurities remain in solution. by repeating the operation and fusing the salt (when adhering hydrochloric acid is volatilised) a pure salt is obtained, which is again crystallised from its solution by evaporation.[ ] [ ] the fracture of rock salt generally shows the presence of interlayers of impurities which are sometimes very small in weight, but visible owing to their refraction. in the excellently laid out salt mines of briansk i counted ( ), if my memory does not deceive me, on an average ten interlayers per metre of thickness, between which the salt was in general very pure, and in places quite transparent. if this be the case, then there would be interlayers for the whole thickness (about metres) of the bed. they probably correspond with the yearly deposition of the salt. in this case the deposition would have extended over more than years. this should be observable at the present day in lakes where the salt is saturated and in course of deposition. [ ] my own investigations have shown that not only the sulphates, but also the potassium salts, are entirely removed by this method. pure sodium chloride, in well-defined crystals (slowly deposited at the bottom of the liquid) or in compact masses (in which form rock salt is sometimes met with), is a colourless and transparent substance resembling, but more brittle and less hard than, glass.[ ] common salt always crystallises in the cubic system, most frequently in _cubes_, and more rarely in octahedra. large transparent cubes of common salt, having edges up to centimetres long, are sometimes found in masses of rock salt.[ ] when evaporated in the open the salt often separates out on the surface[ ] as cubes, which grow on to each other in the form of pyramidal square funnels. in still weather, these clusters are able to support themselves on the surface of the water for a long time, and sometimes go on increasing to a considerable extent, but they sink directly the water penetrates inside them. salt fuses to a colourless liquid (sp. gr. · , according to quincke) at ° (v. meyer); if pure it solidifies to a non-crystalline mass, and if impure to an opaque mass whose surface is not smooth. in fusing, sodium chloride commences to volatilise (its weight decreases) and at a white heat it volatilises with great ease and completely; but at the ordinary temperature it may, like all ordinary salts, be considered as non-volatile, although as yet no exact experiments have been made in this direction. [ ] according to the determinations of klodt, the briansk rock salt withstands a pressure of kilograms per square centimetre, whilst glass withstands , kilos. in this respect salt is twice as secure as bricks, and therefore immense masses may be extracted from underground workings with perfect safety, without having recourse to brickwork supports, merely taking advantage of the properties of the salt itself. [ ] to obtain well-formed crystals, a saturated solution is mixed with ferric chloride, several small crystals of sodium chloride are placed at the bottom, and the solution is allowed to evaporate slowly in a vessel with a loose-fitting cover. octahedral crystals are obtained by the addition of borax, urea, &c., to the solution. very fine crystals are formed in a mass of gelatinous silica. [ ] if a solution of sodium chloride be slowly heated from above, where the evaporation takes place, then the upper layer will become saturated before the lower and cooler layers, and therefore crystallisation will begin on the surface, and the crystals first formed will float, having also dried from above, on the surface until they become quite soaked. being heavier than the solution the crystals are partially immersed under it, and the following crystallisation, also proceeding on the surface, will only form crystals along the side of the original crystals. a funnel is formed in this manner. it will be borne on the surface like a boat (if the liquid be quiescent), because it will grow more from the upper edges. we can thus understand this at first sight strange funnel form of crystallisation of salt. in explanation why the crystallisation under the above conditions begins at the surface and not at the lower layers, it must be mentioned that the specific gravity of a crystal of sodium chloride = · , and that of a solution saturated at ° contains · p.c. of salt and has a specific gravity at °/ ° of · ; at ° a saturated solution contains · p.c. of salt and has a sp. gr. · at °/ °. hence a solution saturated at a higher temperature is specifically lighter, notwithstanding the greater amount of salt it contains. with many substances _surface crystallisation_ cannot take place because their solubility increases more rapidly with the temperature than their specific gravity decreases. in this case the saturated solution will always be in the lower layers, where also the crystallisation will take place. besides which it may be added that as a consequence of the properties of water and solutions, when they are heated from above (for instance, by the sun's rays), the warmer layers being the lightest remain above, whilst when heated from below they rise to the top. for this reason the water at great depths below the surface is always cold, which has long been known. these circumstances, as well as those observed by soret (chapter i., note ), explain the great differences of density and temperature, and in the amount of salts held in the oceans at different latitudes (in polar and tropical climes) and at various depths. a saturated[ ] solution of table salt (containing · p.c.) has at the ordinary temperature a specific gravity of about · . the specific gravity of the crystals is · ( °). the salt which separates out at the ordinary and higher temperatures contains no water of crystallisation;[ ] but if the crystals are formed at a low temperature, especially from a saturated solution cooled to - °, then they present a prismatic form, and contain two equivalents of water, nacl, h_{ }o. at the ordinary temperature these crystals split up into sodium chloride and its solution.[ ] unsaturated solutions of table salt when cooled below ° give[ ] crystals of ice, but when the solution has a composition nacl, h_{ }o it solidifies completely at a temperature of - °. a solution of table salt saturated at its boiling point boils at about °, and contains about parts of salt per parts of water. [ ] by combining the results of poggiale, müller, and karsten (they are evidently more accurate than those of gay-lussac and others) i found that a saturated solution at _t_°, from ° to °, contains · + · _t_ + · _t_^ grams of salt per grams of water. this formula gives a solubility at ° = · grams (= · p.c.), whilst according to karsten it is · , poggiale · , and müller · grams. [ ] perfectly pure _fused_ salt is not hygroscopic, according to karsten, whilst the crystallised salt, even when quite pure, attracts as much as · p.c. of water from moist air, according to stas. (in the briansk mines, where the temperature throughout the whole year is about + °, it may be observed, as baron klodt informed me, that in the summer during damp weather the walls become moist, while in winter they are dry). if the salt contain impurities--such as magnesium sulphate, &c.--it is more hygroscopic. if it contain any magnesium chloride, it partially deliquesces in a damp atmosphere. the crystallised and not perfectly pure salt decrepitates when heated, owing to its containing water. the pure salt, and also the transparent rock salt, or that which has been once fused, does not decrepitate. fused sodium chloride shows a faint alkaline reaction to litmus, which has been noticed by many observers, and is due to the presence of sodium oxide (probably by the action of the oxygen of the atmosphere). according to a. stcherbakoff very sensitive litmus (washed in alcohol and neutralised with oxalic acid) shows an alkaline reaction even with the crystallised salt. it may be observed that rock salt sometimes contains cavities filled with a colourless liquid. certain kinds of rock salt emit an odour like that of hydrocarbons. these phenomena have as yet received very little attention. [ ] by cooling a solution of table salt saturated at the ordinary temperature to - °, i obtained first of all well-formed tabular (six-sided) crystals, which when warmed to the ordinary temperature disintegrated (with the separation of anhydrous sodium chloride), and then prismatic needles up to mm. long were formed from the same solution. i have not yet investigated the reason of the difference in crystalline form. it is known (mitscherlich) that nai, h_{ }o also crystallises either in plates or prisms. sodium bromide also crystallises with h_{ }o at the ordinary temperature. [ ] notwithstanding the great simplicity (chapter i., note ) of the observations on the formation of ice from solution, still even for sodium chloride they cannot yet be considered as sufficiently harmonious. according to blagden and raoult, the temperature of the formation of ice from a solution containing _c_ grams of salt per grams of water =- · _c_ to _c_ = , according to rosetti =- · _c_ to _c_ = · , according to de coppet (to _c_ = ) =- · _c_- · _c_^ , according to karsten (to _c_ = )- · _c_ + · _c_^ , and according to guthrie a much lower figure. by taking rosetti's figure and applying the rule given in chapter i., note we obtain-- _i_ - · × · / · = · . pickering ( ) gives for _c_ = - · , for _c_ = - · ; that is (_c_ up to · ) about -( · + · _c_)_c_. the data for strong solutions are not less contradictory. thus with p.c. of salt, ice is formed at - · ° according to karsten,- ° according to guthrie,- · ° according to de coppet. rüdorff states that for strong solutions the temperature of the formation of ice descends in proportion to the contents of the compound, nacl, h_{ }o (per grams of water) by °· per gram of salt, and de coppet shows that there is no proportionality, in a strict sense, for either a percentage of nacl or of nacl, h_{ }o. of all its physical properties the specific gravity of solutions of sodium chloride is the one which has been the most fully investigated. a comparison of all the existing determinations of the specific gravity of solutions of nacl[ ] at ° (in vacuo, taking water at ° as , ), with regard to _p_ (the percentage amount of the salt in solution), show that it is expressed by the equation s_{ } = · + · _p_ + · _p_^ . for instance, for a solution h_{ }o + nacl, in which case _p_ = · , s_{ } = · . it is seen from the formula that the addition of water produces a contraction.[ ] the specific gravity[ ] at certain temperatures and concentrations in vacuo referred to water at ° = , [ ] is here given for ° ° ° ° _p_ = it should be remarked that baumé's hydrometer is graduated by taking a p.c. solution of sodium chloride as ° on the scale, and therefore it gives approximately the percentage amount of the salt in a solution. common salt is somewhat soluble in alcohol,[ ] but it is insoluble in ether and in oils. [ ] a collection of observations on the specific gravity of solutions of sodium chloride is given in my work cited in chapter i., note . solutions of common salt have also been frequently investigated as regards rate of _diffusion_ (chapter i.), but as yet there are no complete data in this respect. it may be mentioned that graham and de vries demonstrated that diffusion in gelatinous masses (for instance, gelatin jelly, or gelatinous silica) proceeds in the same manner as in water, which may probably lead to a convenient and accurate method for the investigation of the phenomena of diffusion. n. umoff (odessa, ) investigated the diffusion of common salt by means of glass globules of definite density. having poured water into a cylinder over a layer of a solution of sodium chloride, he observed during a period of several months the position (height) of the globules, which floated up higher and higher as the salt permeated upwards. umoff found that at a constant temperature the distances of the globules (that is, the length of a column limited by layers of definite concentration) remain constant; that at a given moment of time the concentration, _q_, of different layers situated at a depth _z_ is expressed by the equation b-k_z_ = log.(a-_q_), where a, b, and k are constants; that at a given moment the rate of diffusion of the different layers is proportional to their depth, &_c._ [ ] if _s__{ } be the specific gravity of water, and _s_ the specific gravity of a solution containing _p_ p.c. of salt, then by mixing equal weights of water and the solution, we shall obtain a solution containing / _p_ of the salt, and if it be formed without contraction, then its specific gravity _x_ will be determined by the equation /_x_ = /s_{ } + /s, because the volume is equal to the weight divided by the density. in reality, the specific gravity is always found to be greater than that calculated on the supposition of an absence of contraction. [ ] generally the specific gravity is observed by weighing in air and dividing the weight in grams by the volume in cubic centimetres, the latter being found from the weight of water displaced, divided by its density at the temperature at which the experiment is carried out. if we call this specific gravity s_{ }, then as a cubic centimetre of air under the usual conditions weighs about · gram, the sp. gr. in a vacuum s = s_{ } + · (s_{ } - ), if the density of water = . [ ] if the sp. gr. s_{ } be found directly by dividing the weight of a solution by the weight of water at the same temperature and in the same volume, then the true sp. gr. _s_ referred to water at ° is found by multiplying s_{ } by the sp. gr. of water at the temperature of observation. [ ] according to schiff grams of alcohol, containing _p_ p.c. by weight of c_{ }h_{ }o, dissolves at °-- _p_ = · · · · · grams nacl. common salt gives very few compounds[ ] (double salts) and these are very readily decomposed: it is also decomposed with great difficulty and its dissociation is unknown.[ ] but it is easily decomposed, both when fused and in solution, by the action of a galvanic current. if the dry salt be fused in a crucible and an electric current be passed through it by immersing carbon or platinum electrodes in it (the positive electrode is made of carbon and the negative of platinum or mercury), it is _decomposed_: the suffocating gas, chlorine, is liberated at the positive pole and metallic sodium at the negative pole. both of them act on the excess of water at the moment of their evolution; the sodium evolves hydrogen and forms caustic soda, and the chlorine evolves oxygen and forms hydrochloric acid, and therefore on passing a current through a solution of common salt metallic sodium will not be obtained--but oxygen, chlorine, and hydrochloric acid will appear at the positive pole, and hydrogen and caustic soda at the negative pole.[ bis] thus salt, like other salts, is decomposed by the action of an electric current into a metal and a haloid (chapter iii.) naturally, like all other salts, it may be formed from the corresponding base and acid with the separation of water. in fact if we mix caustic soda (base) with hydrochloric acid (acid), table salt is formed, naho + hcl = nacl + h_{ }o. [ ] amongst the double salts formed by sodium chloride that obtained by ditte ( ) by the evaporation of the solution remaining after heating sodium iodate with hydrochloric acid until chlorine ceases to be liberated, is a remarkable one. its composition is naio_{ },nacl, h_{ }o. rammelsberg obtained a similar (perhaps the same) salt in well-formed crystals by the direct reaction of both salts. [ ] but it gives sodium in the flame of a bunsen's burner (see spectrum analysis), doubtless under the reducing action of the elements carbon and hydrogen. in the presence of an excess of hydrochloric acid in the flame (when the sodium would form sodium chloride), no sodium is formed in the flame and the salt does not communicate its usual coloration. [ bis] there is no doubt, however, but that chloride of sodium is also decomposed in its aqueous solutions with the separation of sodium, and that it does not simply enter into double decomposition with the water (nacl + h_{ }o = naho + hcl). this is seen from the fact that when a saturated solution of nacl is rapidly decomposed by an electric current, a large amount of chlorine appears at the anode and a sodium amalgam forms at the mercury cathode, which acts but slowly upon the strong solution of salt. castner's process for the electrolysis of brine into chlorine and caustic soda is an application of this method which has been already worked in england on an industrial scale. with resspect to the double decompositions of sodium chloride it should be observed that they are most varied, and serve as means of obtaining nearly all the other compounds of sodium and chlorine. _the double decompositions of sodium chloride_ are almost exclusively based on the possibility of the metal sodium being exchanged for hydrogen and other metals. but neither hydrogen nor any other metal can directly displace the sodium from sodium chloride. this would result in the separation of metallic sodium, which itself displaces hydrogen and the majority of other metals from their compounds, and is not, so far as is known, ever separated by them. the replacement of the sodium in sodium chloride by hydrogen and various metals can only take place by the transference of the sodium into some other combination. if hydrogen or a metal, m, be combined with an element x, then the double decomposition nacl + mx = nax + mcl takes place. such double decompositions take place under special conditions, sometimes completely and sometimes only partially, as we shall endeavour to explain. in order to acquaint ourselves with the double decompositions of sodium chloride, we will follow the methods actually employed in practice to procure compounds of sodium and of chlorine from common salt. for this purpose we will first describe the treatment of sodium chloride with sulphuric acid for the preparation of hydrochloric acid and sodium sulphate. we will then describe the substances obtained from hydrochloric acid and sodium sulphate. chlorine itself, and nearly all the compounds of this element, may be procured from hydrochloric acid, whilst sodium carbonate, caustic soda, metallic sodium itself and all its compounds, may be obtained from sodium sulphate. even in the animal organism salt undergoes similar changes, furnishing the sodium, alkali, and hydrochloric acid which take part in the processes of animal life. its necessity as a constituent in the food both of human beings and of animals becomes evident when we consider that both hydrochloric acid and salts of sodium are found in the substances which are separated out from the blood into the stomach and intestines. sodium salts are found in the blood and in the bile which is elaborated in the liver and acts on the food in the alimentary canal, whilst hydrochloric acid is found in the acid juices of the stomach. chlorides of the metals are always found in considerable quantities in the urine, and if they are excreted they must be replenished in the organism; and for the replenishment of the loss, substances containing chlorine compounds must be taken in food. not only do animals consume those small amounts of sodium chloride which are found in drinking water or in plants or other animals, but experience has shown that many wild animals travel long distances in search of salt springs, and that domestic animals which in their natural condition do not require salt, willingly take it, and that the functions of their organisms become much more regular from their doing so. _the action of sulphuric acid on sodium chloride._--if sulphuric acid be poured over common salt, then even at the ordinary temperature, as glauber observed, an odorous gas, hydrochloric acid, is evolved. the reaction which takes place consists in the sodium of the salt and the hydrogen of the sulphuric acid changing places. nacl + h_{ }so_{ } = hcl + nahso_{ } sodium sulphuric hydrochloric acid sodium chloride acid acid sulphate at the ordinary temperature this reaction is not complete, but soon ceases. when the mixture is heated, the decomposition proceeds until, if there be sufficient salt present, all the sulphuric acid taken is converted into acid sodium sulphate. any excess of acid will remain unaltered. if molecules of sodium chloride ( parts) be taken per molecule of sulphuric acid ( parts), then on heating the mixture to a moderate temperature only one-half ( · ) of the salt will suffer change. complete decomposition, after which neither hydrogen nor chlorine is left in the residue, proceeds (when parts of table salt are taken per parts of sulphuric acid) _at a red heat only_. then-- nacl + h_{ }so_{ } = hcl + na_{ }so_{ } table sulphuric hydrochloric sodium salt acid acid sulphate this double decomposition is the result of the action of the acid salt, nahso_{ }, first formed, on sodium chloride, for the acid salt, since it contains hydrogen, itself acts like an acid, nacl + nahso_{ } = hcl + na_{ }so_{ }. by adding this equation to the first we obtain the second, which expresses the ultimate reaction. hence in the above reaction, non-volatile or sparingly volatile table salt and sparingly volatile sulphuric acid are taken, and as the result of their reaction, after the hydrogen and sodium have exchanged places, there is obtained non-volatile sodium sulphate and gaseous hydrochloric acid. the fact of the latter being a gaseous substance forms the main reason for the reaction proceeding to the very end. the mechanism of this kind of double decomposition, and the cause of the course of the reaction, are exactly the same as those we saw in the decomposition of nitre (chapter vi.) by the action of sulphuric acid. the sulphuric acid in each case displaces the other, volatile, acid. not only in these two instances, but in every instance, if a volatile acid can be formed by the substitution of the hydrogen of sulphuric acid for a metal, then this volatile acid will be formed. from this it may be concluded that the volatility of the acid should be considered as the cause of the progress of the reaction; and indeed if the acid be soluble but not volatile, or if the reaction take place in an enclosed space where the resulting acid cannot volatilise, or at the ordinary temperature when it does not pass into the state of elastic vapour--then the decomposition does not proceed to the end, but only up to a certain limit. in this respect the explanations given at the beginning of this century by the french chemist berthollet in his work 'essai de statique chimique' are very important. _the doctrine of berthollet_ starts from the supposition that the chemical reaction of substances is determined not only by the degrees of affinity between the different parts, but also by the relative masses of the reacting substances and by those physical conditions under which the reaction takes place. two substances containing the elements mx and ny, being brought into contact with each other, form by double decomposition the compounds my and nx; but the formation of these two new compounds will not proceed to the end unless one of them is removed from the sphere of action. but it can only be removed if it possesses different physical properties from those of the other substances which are present with it. either it must be a gas while the others are liquid or solid, or an insoluble solid while the others are liquid or soluble. the relative amounts of the resultant substances, if nothing separates out from their intermixture, depend only on the relative quantities of the substances mx and ny, and upon the degrees of attraction existing between the elements m, n, x, and y; but however great their mass may be, and however considerable the attractions, still in any case if nothing separates out from the sphere of action the decomposition will presently cease, a state of equilibrium will be established, and instead of two there will remain four substances in the mass: namely, a portion of the original bodies mx and ny, and a certain quantity of the newly formed substances my and nx, if it be assumed that neither mn or xy nor any other substances are produced, and this may for the present[ ] be admitted in the case of the double decomposition of salts in which m and x are metals and x and y haloids. as the ordinary double decomposition here consists merely in the exchange of metals, the above simplification is applicable. the sum total of existing data concerning the double decomposition of salts leads to the conclusion that from salts mx + ny there always arises a certain quantity of nx and my, as should be the case according to berthollet's doctrine. a portion of the historical data concerning this subject will be afterwards mentioned, but we will at once proceed to point out the observations made by spring ( ) which show that _even in a solid state_ salts are subject to a similar interchange of metals if in a condition of sufficiently close contact (it requires time, a finely divided state, and intimate mixture). spring took two non-hygroscopic salts, potassium nitrate, kno_{ }, and well-dried sodium acetate, c_{ }h_{ }nao_{ }, and left a mixture of their powders for several months in a desiccator. an interchange of metals took place, as was seen from the fact that the resultant mass rapidly attracted the moisture of the air, owing to the formation of sodium nitrate, nano_{ }, and potassium acetate, c_{ }h_{ }ko_{ }, both of which are highly hygroscopic.[ bis] [ ] if mx and ny represent the molecules of two salts, and if there be _no third substance_ present (such as water in a solution), the formation of xy would also be possible; for instance, cyanogen, iodine, &c. are capable of combining with simple haloids, as well as with the complex groups which in certain salts play the part of haloids. besides which the salts mx and ny or my with nx may form double salts. if the number of molecules be unequal, or if the valency of the elements or groups contained in them be different, as in nacl + h_{ }so_{ }, where cl is a univalent haloid and so_{ } is bivalent, then the matter may be complicated by the formation of other compounds besides my and nx, and when a solvent participates in the action, and especially if present in large proportion, the phenomena must evidently become still more complex; and this is actually the case in nature. hence while placing before the reader a certain portion of the existing store of knowledge concerning the phenomena of double saline decompositions, i cannot consider the theory of the subject as complete, and have therefore limited myself to a few data, the completion of which must be sought in more detailed works on the subject of theoretical chemistry, without losing sight of what has been said above. [ bis] when the mixture of potassium nitrate and sodium acetate was heated by spring to °, it was completely fused into one mass, although potassium nitrate fuses at about ° and sodium nitrate at about °. when berthollet enunciated his doctrine the present views of atoms and molecules had yet to be developed, and it is now necessary to submit the matter to examination in the light of these conceptions; we will therefore consider the reaction of salts, taking m and n, x and y as equivalent to each other--that is, as capable of replacing each other 'in toto,' as na or k,, / ca or / mg (bivalent elements) replace hydrogen. and since, according to berthollet's doctrine, when _m_mx of one salt comes into contact with _n_ny of another salt, a certain quantity _x_my and _x_nx is formed, there remains _m_-_x_ of the salt mx, and _n_-_x_ of the salt ny. if _m_ be greater than _n_, then the maximum interchange could lead to _x_ = _n_, whilst from the salts taken there would be formed _n_my + _n_nx + (_m_-_n_)mx--that is, a portion of one only of the salts taken would remain unchanged because the reaction could only proceed between _n_mx and _n_ny. if _x_ were actually equal to _n_, the mass of the salt mx would not have any influence on the _modus operandi_ of the reaction, which is equally in accordance with the teaching of bergmann, who supposed double reactions to be independent of the mass and determined by affinity only. if m had more affinity for x than for y, and n more affinity for y than for x, then according to bergmann there would be no decomposition whatever, and _x_ would equal . if the affinity of m for y and of n for x were greater than those in the original grouping, then the affinity of m for x and of n for y would be overcome, and, according to bergmann's doctrine, complete interchange would take place--_i.e._ _x_ would equal _n_. according to berthollet's teaching, a distribution of m and n between x and y will take place in every case, not only in proportion to the degrees of affinity, but also in proportion to the masses, so that with a small affinity and a large mass the same action can be produced as with a large affinity and a small mass. therefore, ( ) _x_ will always be less than _n_ and their ratio _x_/_n_ less than unity--that is, the decomposition will be expressed by the equation, _m_mx + _n_ny = (_m_-_x_)mx + (_n_-_x_)ny + _x_my + _x_nx; ( ) by increasing the mass _m_ we increase the decomposition--that is, we increase _x_ and the ratio _x_/(_n_-_x_), until with an infinitely large quantity m the fraction _x_/_n_ will equal , and the decomposition will be complete, however small the affinities uniting my and nx may be; and ( ) if _m_ = _n_, by taking mx + ny or my + nx we arrive at one and the same system _in either case_: (_n_-_x_)mx + (_n_-_x_)ny + _x_my + _x_nx. these direct consequences of berthollet's teaching are verified by experience. thus, for example, a mixture of solutions of sodium nitrate and potassium chloride in all cases has entirely the same properties as a mixture of solutions of potassium nitrate and sodium chloride, of course on condition that the mixed solutions are of identical elementary composition. but this identity of properties might either proceed from one system of salts passing entirely into the other (bergmann's hypothesis) in conformity with the predominating affinities (for instance, from kcl + nano_{ } there might arise kno_{ } + nacl, if it be admitted that the affinities of the elements as combined in the latter system are greater than in the former); or, on the other hand, it might be because both systems by the interchange of a portion of their elements give one and the same state of equilibrium, as according to berthollet's teaching. experiment proves the latter hypothesis to be the true one. but before citing the most historically important experiments verifying berthollet's doctrine, we must stop to consider the conception _of the mass_ of the reacting substances. berthollet understood by mass the actual relative quantity of a substance; but now it is impossible to understand this term otherwise than as the number of molecules, for they act as chemical units, and in the special case of double saline decompositions it is better to take it as the number of equivalents. thus in the reaction nacl + h_{ }so_{ } the salt is taken in one equivalent and the acid in two. if nacl + h_{ }so_{ } act, then the number of equivalents are equal, and so on. the _influence of mass_ on the amount of decomposition _x_/_n_ forms the root of berthollet's doctrine, and therefore we will first of all turn our attention to the establishment of this principle in relation to the double decomposition of salts. about h. rose[ ] showed that water decomposes metallic sulphides like calcium sulphide, cas, forming hydrogen sulphide, h_{ }s, notwithstanding the fact that the affinity of hydrogen sulphide, as an acid, for lime, cah_{ }o_{ }, as a base, causes them to react on each other, forming calcium sulphide and water, cas + h_{ }o. furthermore, rose showed that the greater the amount of water acting on the calcium sulphide, the more complete is the decomposition. the results of this reaction are evident from the fact that the hydrogen sulphide formed may be expelled from the solution by heating, and that the resulting lime is sparingly soluble in water. rose clearly saw from this that such feeble agents, in a chemical sense, as carbonic anhydride and water, by acting in a mass and for long periods of time in nature on the durable rocks, which resist the action of the most powerful acids, are able to bring about chemical change--to extract, for example, from rocks the bases, lime, soda, potash. the influence of the mass of water on antimonious chloride, bismuth nitrate, &c., is essentially of the same character. these substances give up to the water a quantity of acid which is greater in proportion as the mass of the water acting on them is greater.[ bis] [ ] h. rose is more especially known for his having carefully studied and perfected several methods for the exact chemical analysis of many mineral substances. his predecessor in this branch of research was berzelius, and his successor fresenius. [ bis] historically the influence of the mass of water was the first well-observed phenomenon in support of berthollet's teaching, and it should not now be forgotten. in double decompositions taking place in dilute solutions where the mass of water is large, its influence, notwithstanding the weakness of affinities, must he great, according to the very essence of berthollet's doctrine. as explaining the action of the mass of water, the experiments of pattison muir ( ) are very instructive. these experiments demonstrate that the decomposition of bismuth chloride is the more complete the greater the relative quantity of water, and the less the mass of hydrochloric acid forming one of the products of the reaction. barium sulphate, baso_{ }, which is insoluble in water, when fused with sodium carbonate, na_{ }co_{ }, gives, but not completely, barium carbonate, baco_{ }, (also insoluble), and sodium sulphate, na_{ }so_{ }. if a solution of sodium carbonate acts on precipitated barium sulphate, the same decomposition is also effected (dulong, rose), but it is restricted by a limit and requires time. a mixture of sodium carbonate and sulphate is obtained in the solution and a mixture of barium carbonate and sulphate in the precipitate. if the solution be decanted off and a fresh solution of sodium carbonate be poured over the precipitate, then a fresh portion of the barium sulphate passes into barium carbonate, and so by increasing the mass of sodium carbonate it is possible to entirely convert the barium sulphate into barium carbonate. if a definite quantity of sodium sulphate be added to the solution of sodium carbonate, then the latter will have no action whatever on the barium sulphate, because then a system in equilibrium determined by the reverse action of the sodium sulphate on the barium carbonate and by the presence of both sodium carbonate and sulphate in the solution, is at once arrived at. on the other hand, if the mass of the sodium sulphate in the solution be great, then the barium carbonate is reconverted into sulphate until a definite state of equilibrium is attained between the two opposite reactions, producing barium carbonate by the action of the sodium carbonate and barium sulphate by the action of the sodium sulphate. another most important principle of berthollet's teaching is the existence of _a limit of exchange decomposition_, or _the attainment of a state of equilibrium_. in this respect the determinations of malaguti ( ) are historically the most important. he took a mixture of solutions of equivalent quantities of two salts, mx and ny, and judged the amount of the resulting exchange from the composition of the precipitate produced by the addition of alcohol. when, for example, zinc sulphate and sodium chloride (znso_{ } and nacl) were taken, there were produced by exchange sodium sulphate and zinc chloride. a mixture of zinc sulphate and sodium sulphate was precipitated by an excess of alcohol, and it appeared from the composition of the precipitate that per cent. of the salts taken had been decomposed. when, however, a mixture of solutions of sodium sulphate and zinc chloride was taken, the precipitate presented the same composition as before--that is, about per cent. of the salts taken had been subjected to decomposition. in a similar experiment with a mixture of sodium chloride and magnesium sulphate, nacl + mgso_{ } or mgcl_{ } + na_{ }so_{ }, about half of the metals underwent the decomposition, which may be expressed by the equation nacl + mgso_{ } = nacl + mgso_{ } + na_{ }so_{ } + mgcl_{ } = na_{ }so_{ } + mgcl_{ }. a no less clear limit expressed itself in another of malaguti's researches when he investigated the above-mentioned reversible reactions of the insoluble salts of barium. when, for example, barium carbonate and sodium sulphate (baco_{ } + na_{ }so_{ }) were taken, then about per cent. of the salts were decomposed, that is, were converted into barium sulphate and sodium carbonate. but when the two latter salts were taken, then about per cent. of them passed into barium carbonate and sodium sulphate. probably the end of the reaction was not reached in either case, because this would require a considerable time and a uniformity of conditions attainable with difficulty. gladstone ( ) took advantage of the colour of solutions of different ferric salts for determining the measure of exchange between metals. thus a solution of ferric thiocyanate has a most intense red colour, and by making a comparison between the colour of the resulting solutions and the colour of solutions of known strength it was possible to judge to a certain degree the quantity of the thiocyanate formed. this colorimetric method of determination has an important significance as being the first in which a method was applied for determining the composition of a solution without the removal of any of its component parts. when gladstone took equivalent quantities of ferric nitrate and potassium thiocyanate--fe(no_{ })_{ } + kcns--only per cent. of the salts underwent decomposition. on increasing the mass of the latter salt the quantity of ferric thiocyanate formed increased, but even when more than equivalents of potassium thiocyanate were taken a portion of the iron still remained as nitrate. it is evident that the affinity acting between fe and no_{ } and between k and cns on the one hand, is greater than the affinity acting between fe and cns, together with the affinity of k for no_{ }, on the other hand. the investigation of the variation of the fluorescence of quinine sulphate, as well as the variation of the rotation of the plane of polarisation of nicotine, gave in the hands of gladstone many proofs of the entire applicability of berthollet's doctrine, and in particular demonstrated the influence of mass which forms the chief distinctive feature of the teaching of berthollet, teaching little appreciated in his own time. at the beginning of the year , the doctrine of the limit of reaction and of the influence of mass on the process of chemical transformations received a very important support in the researches of berthelot and p. de saint-gilles on the formation of the ethereal salts rx from the alcohols roh and acids hx, when water is also formed. this conversion is essentially very similar to the formation of salts, but differs in that it proceeds slowly at the ordinary temperature, extending over whole years, and is not complete--that is, it has a distinct limit determined by a reverse reaction; thus an ethereal salt rx with water gives an alcohol roh and an acid hx--up to that limit generally corresponding with two-thirds of the alcohol taken, if the action proceed between molecular quantities of alcohol and acid. thus common alcohol, c_{ }h_{ }oh, with acetic acid, hc_{ }h_{ }o_{ }, gives the following system rapidly when heated, or slowly at the ordinary temperature, roh + hx + rx + h_{ }o, whether we start from rho + hx or from rx + h_{ }o. the process and completion of the reaction in this instance are very easily observed, because the quantity of free acid is easily determined from the amount of alkali requisite for its saturation, as neither alcohol nor ethereal salt acts on litmus or other reagent for acids. under the influence of an increased mass of alcohol the reaction proceeds further. if two molecules of alcohol, rho, be taken for every one molecule of acetic acid, hx, then instead of p.c., p.c. of the acid passes into ethereal salt, and with fifty molecules of rho nearly all the acid is etherised. the researches of menschutkin in their details touched on many important aspects of the same subject, such as the influence of the composition of the alcohol and acid on the limit and rate of exchange--but these, as well as other details, must be looked for in special treatises on organic and theoretical chemistry. in any case the study of etherification has supplied chemical mechanics with clear and valuable data, which directly confirm the two fundamental propositions of berthollet; the influence of mass, and the limit of reaction--that is, the equilibrium between opposite reactions. the study of numerous instances of dissociation which we have already touched on, and shall again meet with on several occasions, gave the same results. with respect to double saline decompositions, it is also necessary to mention the researches of wiedemann on the decomposing action of a mass of water on the ferric salts, which could be determined by measuring the magnetism of the solutions, because the ferric oxide (soluble colloid) set free by the water is less magnetic than the ferric salts. a very important epoch in the history of berthollet's doctrine was attained when, in , the norwegian chemists, guldberg and waage, expressed it as an algebraical formula. they defined the active mass as the number of molecules contained in a given volume, and assumed, as follows from the spirit of berthollet's teaching, that the action between the substances was equal to the product of the masses of the reacting substances. hence if the salts mx and ny be taken in equivalent quantities (_m_ = and _n_ = ) and the salts my and nx are not added to the mixture but proceed from it, then if _k_ represent the coefficient of the rate of the action of mx on ny and if _k_´ represent the same coefficient for the pair my and nx, then we shall have at the moment when the decomposition equals x a measure of action for the first pair: _k_( -_x_)( -_x_) and for the second pair _k´xx_, and a state of equilibrium or limit will be reached when _k_( -_x_)^ = _k_´_x_^ , whence the ratio _k_/_k_´ = [_x_/( -_x_)]^ . therefore in the case of the action of alcohol on an acid, when _x_ = / , the magnitude _k_/_k_´ = , that is, the reaction of the alcohol on the acid is four times as fast as that of the ethereal salt on water. if the ratio _k_/_k_´ be known, then the influence of mass may be easily determined from it. thus if instead of one molecule of alcohol two be taken, then the equation will be _k_( -_x_)( -_x_) = _k´xx_, whence _x_ = · or percent., which is close to the result of experiment. if molecules of alcohol be taken, then x proves to be approximately per cent., which is also found to be the case by experiment.[ ] [ ] from the above it follows that an excess of acid should influence the reaction like an excess of alcohol. it is in fact shown by experiment that if two molecules of acetic acid be taken to one molecule of alcohol, p.c. of alcohol is etherified. if with a large preponderance of acid or of alcohol certain discrepancies are observed, their cause must be looked for in the incomplete correspondence of the conditions and external influences. but it is impossible to subject the formation of salts to any process directly analogous to that which is so conveniently effected in etherification. many efforts have, however, been made to solve the problem of the measure of reaction in this case also. thus, for example, khichinsky ( ), petrieff ( ), and many others investigated the distribution of metals and haloid groups in the case of one metal and several haloids taken in excess, as acids; or conversely with an excess of bases, the distribution of these bases with relation to an acid; in cases where a portion of the substances forms a precipitate and a portion remains in solution. but such complex cases, although they in general confirm berthollet's teaching (for instance, a solution of silver nitrate gives some silver oxide with lead oxide, and a solution of nitrate of lead precipitates some lead oxide under the action of silver oxide, as petrieff demonstrated), still, owing to the complexity of the phenomena (for instance, the formation of basic and double salts), they cannot give simple results. but much more instructive and complete are researches like those made by pattison muir ( ), who took the simple case of the precipitation of calcium carbonate, caco_{ }, from the mixture of solutions of calcium chloride and sodium or potassium carbonate, and found in this case that not only was the rate of action (for example, in the case of cacl_{ } + na_{ }co_{ }, per cent. of caco_{ } was precipitated in five minutes, per cent. in thirty minutes, and per cent. in two days) determined by the temperature, relative mass, and amount of water (a large mass of water decreases the rate), but that the limit of decomposition was also dependent on these influences. however, even in researches of this kind the conditions of reaction are complicated by the non-uniformity of the media, inasmuch as a portion of the substance is obtained or remains in the form of a precipitate, so that the system is heterogeneous. the investigation of double saline decompositions offers many difficulties which cannot be considered as yet entirely overcome. although many efforts have long since been made, the majority of the researches were carried on in aqueous solutions, and as water is itself a saline compound and able to combine with salts and enter into double decomposition with them, such reactions taking place in solutions in reality present very complex cases.[ ] in this sense the reaction between alcohols and acids is much more simple, and therefore its significance in confirmation of berthollet's doctrine is of particular importance. the only cases which can be compared with these reactions for simplicity are those exchange decompositions investigated by g. g. gustavson, which take place between ccl_{ } and rbr_{n} on the one hand, and cbr_{ } and rcl_{n} on the other. this case is convenient for investigation inasmuch as the rcl_{n} and rbr_{n} taken (such as bcl_{ }, sicl_{ }, ticl_{ }, pocl_{ }, and sncl_{ }) belong to those substances which are decomposed by water, whilst ccl_{ } and cbr_{ } are not decomposed by water; and therefore, by heating, for instance, a mixture of ccl_{ } + sibr_{ } it is possible to arrive at a conclusion as to the amount of interchange by treating the product with water, which decomposes the sibr_{ } left unchanged and the sicl_{ } formed by the exchange, and therefore by determining the composition of the product acted on by the water it is possible to form a conclusion as to the amount of decomposition. the mixture was always formed with equivalent quantities--for instance, bcl_{ } + cbr_{ }. it appeared that there was no exchange whatever on simple intermixture, but that it proceeded slowly, when the mixture was heated (for example, with the mixture above mentioned at ° · per cent. of cl was replaced by br after days' heating, and · per cent. after days, and · per cent. when heated at ° for days). a limit was always reached which corresponded with that of the complemental system; in the given instance the system bbr_{ } + ccl_{ }. in this last · per cent. of bromine in the bbr_{ } was replaced by chlorine; that is, there were obtained · molecules of bcl_{ } and there remained · molecules of bbr_{ }, and therefore the same state of equilibrium was reached as that given by the system bcl_{ } + cbr_{ }. both systems gave one and the same state of equilibrium at the limit, which is in agreement with berthollet's doctrine.[ ] [ ] as an example two methods may be mentioned, thomsen's and ostwald's. thomsen ( ) applied a thermochemical method to exceedingly dilute solutions without taking the water into further consideration. he took solutions of caustic soda containing h_{ }o per naho, and sulphuric acid containing / h_{ }so_{ } + h_{ }o. in order that these solutions may be mixed in such quantities that atomic proportions of acid and alkali would act, for forty grams of caustic soda (which answers to its equivalent) there should be employed grams of sulphuric acid, and then + , heat units would be evolved. if the normal sodium sulphate so formed be mixed with _n_ equivalents of sulphuric acid, a certain amount of heat is absorbed, namely a quantity equal to (_n_. )/(_n_ + · ) heat units. an equivalent of caustic soda, in combining with an equivalent of nitric acid, evolves + , units of heat, and the augmentation of the amount of nitric acid entails an absorption of heat for each equivalent equal to - units; so also in combining with hydrochloric acids + , heat units are absorbed, and for each equivalent of hydrochloric acid beyond this amount there are absorbed - heat units. thomsen mixed each one of three neutral salts, sodium sulphate, sodium chloride and sodium nitrate, with an acid which is not contained in it; for instance, he mixed a solution of sodium sulphate with a solution of nitric acid and determined the number of heat units then absorbed. an absorption of heat ensued because a normal salt was taken in the first instance, and the mixture of all the above normal salts with acid produces an absorption of heat. the amount of heat absorbed enabled him to obtain an insight into the process taking place in this mixture, for sulphuric acid added to sodium sulphate absorbs a considerable quantity of heat, whilst hydrochloric and nitric acids absorb a very small amount of heat in this case. by mixing an equivalent of sodium sulphate with various numbers of equivalents of nitric acid, thomsen observed that the amount of heat absorbed increased more and more as the amount of nitric acid was increased; thus when hno_{ } was taken per / na_{ }so_{ }, , heat units were absorbed per equivalent of soda contained in the sodium sulphate. when twice as much nitric acid was taken, , heat units, and when three times as much, , heat units were absorbed. had the double decomposition been complete in the case where one equivalent of nitric acid was taken per equivalent of na_{ }so_{ } then according to calculation from similar data there should have been absorbed - , units of heat, while in reality only - , units were absorbed. hence thomsen concluded that a displacement of only about two-thirds of the sulphuric acid had taken place--that is, the ratio _k_ : _k_´ for the reaction / na_{ }so_{ } + hno_{ } and nano_{ } + / h_{ }so_{ } is equal, as for ethereal salts, to . by taking this figure and admitting the above supposition, thomsen found that for all mixtures of soda with nitric acid, and of sodium nitrate with sulphuric acid, the amounts of heat followed guldberg and waage's law; that is, the limit of decomposition reached was greater the greater the mass of acid added. the relation of hydrochloric to sulphuric acid gave the same results. therefore the researches of thomsen fully confirm the hypotheses of guldberg and waage and the doctrine of berthollet. thomson concludes his investigation with the words: (_a_) 'when equivalent quantities of naho, hno_{ } (or hcl) and / h_{ }so_{ } react on one another in an aqueous solution, then two-thirds of the soda combines with the nitric and one-third with the sulphuric acid; (_b_) this subdivision repeats itself, whether the soda be taken combined with nitric or with sulphuric acid; (_c_) and therefore nitric acid has double the tendency to combine with the base that sulphuric acid has, and hence in an aqueous solution it is a stronger acid than the latter.' 'it is therefore necessary,' thomsen afterwards remarks, 'to have an expression indicating the tendency of an acid for the saturation of bases. this idea cannot be expressed by the word _affinity_, because by this term is most often understood that force which it is necessary to overcome in order to decompose a substance into its component parts. this force should therefore be measured by the amount of work or heat employed for the decomposition of the substance. the above-mentioned phenomenon is of an entirely different nature,' and thomsen introduces the term _avidity_, by which he designates the tendency of acids for neutralisation. 'therefore the avidity of nitric acid with respect to soda is twice as great as the avidity of sulphuric acid. an exactly similar result is obtained with hydrochloric acid, so that its avidity with respect to soda is also double the avidity of sulphuric acid. experiments conducted with other acids showed that not one of the acids investigated had so great an avidity as nitric acid; some had a greater avidity than sulphuric acid, others less, and in some instances the avidity = .' the reader will naturally see clearly that the path chosen by thomsen deserves to be worked out, for his results concern important questions of chemistry, but great faith cannot be placed in the deductions he has already arrived at, because great complexity of relations is to be seen in the very method of his investigation. it is especially important to turn attention to the fact that all the reactions investigated are reactions of double decomposition. in them a and b do not combine with c and distribute themselves according to their affinity or avidity for combination, but reversible reactions are induced. mx and ny give my and nx, and conversely; therefore the affinity or avidity for combination is not here directly determined, but only the difference or relation of the affinities or avidities. the affinity of nitric acid not only for the water of constitution, but also for that serving for solution, is much less than that of sulphuric acid. this is seen from thermal data. the reaction n_{ }o_{ } + h_{ }o gives + , heat units, and the solution of the resultant hydrate, nho_{ }, in a large excess of water evolves + , heat units. the formation of so_{ } + h_{ }o evolves + , heat units, and the solution of h_{ }so_{ } in an excess of water , --that is, sulphuric acid gives more heat in both cases. the interchange between na_{ }so_{ } and hno_{ } is not only accomplished at the expense of the production of nano_{ }, but also at the expense of the formation of h_{ }so_{ }, hence the affinity of sulphuric acid for water plays its part in the phenomena of displacement. therefore in determinations like those made by thomsen the water does not form a medium which is present without participating in the process; it also takes part in the reaction. (compare chapter ix., note .) whilst retaining essentially the methods of thomsen, ostwald ( ) determined the variation of the sp. gr. (and afterwards of volume), proceeding in the same dilute solutions, on the saturation of acids by bases, and in the decomposition of the salts of one acid by the other, and arrived at conclusions of just the same nature as thomsen's. ostwald's method will be clearly understood from an example. a solution of caustic soda containing an almost molecular ( grams) weight per litre had a specific gravity of · . the specific gravities of solutions of equal volume and equivalent composition of sulphuric and nitric acids were · and · respectively. on mixing the solutions of naho and h_{ }so_{ } there was formed a solution of na_{ }so_{ } of sp. gr. · ; hence there ensued a decrease of specific gravity which we will term q, equal to · + · - ( · ) = · . so also the specific gravity after mixture of the solutions of naho and hno_{ } was · , and therefore q = · . when one volume of the solution of nitric acid was added to two volumes of the solution of sodium sulphate, a solution of sp. gr. · was obtained, and therefore the resultant decrease of sp. gr. q_{ } = ( · ) + · - ( · ) = · . had there been no chemical reaction between the salts, then according to ostwald's reasoning the specific gravity of the solutions would not have changed, and if the nitric acid had entirely displaced the sulphuric acid q_{ } would be = · - · = · . it is evident that a portion of the sulphuric acid was displaced by the nitric acid. but the measure of displacement is not equal to the ratio between q_{ } and q_{ }, because a decrease of sp. gr. also occurs on mixing the solution of sodium sulphate with sulphuric acid, whilst the mixing of the solutions of sodium nitrate and nitric acid only produces a slight variation of sp. gr. which falls within the limits of experimental error. ostwald deduces from similar data the same conclusions as thomsen, and thus reconfirms the formula deduced by guldberg and waage, and the teaching of berthollet. the participation of water is seen still more clearly in the methods adopted by ostwald than in those of thomsen, because in the saturation of solutions of acids by alkalis (which kremers, reinhold, and others had previously studied) there is observed, not a contraction, as might have been expected from the quantity of heat which is then evolved, but an expansion, of volume (a decrease of specific gravity, if we calculate as ostwald did in his first investigations). thus by mixing , grams of a solution of sulphuric acid of the composition so_{ } + h_{ }o, occupying a volume of , c.c., with a corresponding quantity of a solution (naho + h_{ }o), whose volume = , c.c., we obtain not , but , c.c., an expansion of c.c. per gram molecule of the resulting salt, na_{ }so_{ }. it is the same in other cases. nitric and hydrochloric acids give a still greater expansion than sulphuric acid, and potassium hydroxide than sodium hydroxide, whilst a solution of ammonia gives a contraction. the relation to water must be considered as the cause of these phenomena. when sodium hydroxide and sulphuric acid dissolve in water they develop heat and give a vigorous contraction; the water is separated from such solutions with great difficulty. after mutual saturation they form the salt na_{ }so_{ }, which retains the water but feebly and evolves but little heat with it, i.e., in other words, has little affinity for water. in the saturation of sulphuric acid by soda the water is, so to say, displaced from a stable combination and passes into an unstable combination; hence an expansion (decrease of sp. gr.) takes place. it is not the reaction of the acid on the alkali, but the reaction of water, that produces the phenomenon by which ostwald desires to measure the degree of salt formation. the water, which escaped attention, itself has affinity, and influences those phenomena which are being investigated. furthermore, in the given instance its influence is very great because its mass is large. when it is not present, or only present in small quantities, the attraction of the base to the acid leads to contraction, and not expansion. na_{ }o has a sp. gr. · , hence its molecular volume = ; the sp. gr. of so_{ } is · and volume , hence the sum of their volumes is ; for na_{ }so_{ } the sp. gr. is · and volume · , consequently there is a contraction of c.c. per gram-molecule of salt. the volume of h_{ }so_{ } = · , that of naho = · ; there is produced h_{ }o, volume = , + na_{ }so_{ }, volume = · . there react · c.c., and on saturation there result · c.c.; consequently contraction again ensues, although less, and although this reaction is one of substitution and not of combination. consequently the phenomena studied by ostwald depend but little on the measure of the reaction of the salts, and more on the relations of the dissolved substances to water. in substitutions, for instance nano_{ } + h_{ }so_{ } = hno_{ } + na_{ }so_{ }, the volumes vary but slightly: in the above example they are ( · ) + · and ( · ) + · ; hence volumes act, and volumes are produced. it may be concluded, therefore, on the basis of what has been said, that on taking water into consideration the phenomena studied by thomsen and ostwald are much more complex than they at first appear, and that this method can scarcely lead to a correct interpretation as to the distribution of acids between bases. we may add that p. d. chroustcheff ( ) introduced a new method for this class of research, by investigating the electro-conductivity of solutions and their mixtures, and obtained remarkable results (for example, that hydrochloric acid almost entirely displaces formic acid and only / of sulphuric acid), but details of these methods must be looked for in text-books of theoretical chemistry. [ ] g. g. gustavson's researches, which were conducted in the laboratory of the st. petersburg university in - , are among the first in which the measure of the affinity of the elements for the halogens is recognised with perfect clearness in the limit of substitution and in the rate of reaction. the researches conducted by a. l. potilitzin (of which mention will be made in chapter xi., note ) in the same laboratory touch on another aspect of the same problem which has not yet made much progress, notwithstanding its importance and the fact that the theoretical side of the subject (thanks especially to guldberg and van't hoff) has since been rapidly pushed forward. if the researches of gustavson took account of the influence of mass, and were more fully supplied with data concerning velocities and temperatures, they would be very important, because of the great significance which the case considered has for the understanding of double saline decompositions in the absence of water. furthermore gustavson showed that the greater the atomic weight of the element (b, si, ti, as, sn) combined _with chlorine_ the greater the amount of chlorine replaced by bromine by the action of cbr_{ }, and consequently the less the amount of bromine replaced by chlorine by the action of ccl_{ } on bromine compounds. for instance, for chlorine compounds the percentage of substitution (at the limit) is-- bcl_{ } sicl_{ } ticl_{ } ascl_{ } sncl_{ } · · · · · it should he observed, however, that thorpe, on the basis of his experiments, denies the universality of this conclusion. i may mention one conclusion which it appears to me may be drawn from the above-cited figures of gustavson, if they are subsequently verified even within narrow limits. if cbr_{ } be heated with rcl_{ }, then an exchange of the bromine for chlorine takes place. but what would be the result if it were mixed with ccl_{ }? judging by the magnitude of the atomic weights, b = , c = , si = , about p.c. of the chlorine would be replaced by bromine. but to what does this point? i think that this shows the existence of a motion of the atoms in the molecule. the mixture of ccl_{ } and cbr_{ } does not remain in a condition of static equilibrium; not only are the molecules contained in it in a state of motion, but also the atoms in the molecules, and the above figures show the measure of their translation under these conditions. the bromine in the cbr_{ } is, _within the limit_, substituted by the chlorine of the ccl_{ } in a quantity of about out of : that is, a portion of the atoms of bromine previously to this moment in combination with one atom of carbon pass over to the other atom of carbon, and the chlorine passes over from this second atom of carbon to replace it. therefore, also, in the homogeneous mass ccl_{ } all the atoms of cl do not remain constantly combined with the same atoms of carbon, and _there is on exchange of atoms between different molecules in a homogeneous medium also_. this hypothesis may in my opinion explain certain phenomena of dissociation, but though mentioning it i do not consider it worth while to dwell upon it. i will only observe that a similar hypothesis suggested itself to me in my researches on solutions, and that pfaundler enunciated an essentially similar hypothesis, and in recent times a like view is beginning to find favour with respect to the electrolysis of saline solutions. thus we now find ample confirmation from various quarters for the following rules of berthollet, applying them to double saline decompositions: . from two salts mx and ny containing different haloids and metals there result from their reaction two others, my and nx, but such a substitution will not proceed to the end unless one product passes from the sphere of action. . this reaction is limited by the existence of an equilibrium between mx, ny, my, and nx, because a reverse reaction is quite as possible as the direct reaction. . this limit is determined both by the measure of the active affinities and by the relative masses of the substances as measured by the number of the reacting molecules. . other conditions being constant, the chemical action is proportional to the product of the chemical masses in action.[ ] [ ] berthollet's doctrine is hardly at all affected in principle by showing that there are cases in which there is no decomposition between salts, because the affinity may be so small that even a large mass would still give no observable displacements. the fundamental condition for the application of berthollet's doctrine, as well as deville's doctrine of dissociation, lies in the reversibility of reactions. there are practically irreversible reactions (for instance, ccl_{ } + h_{ }o = co_{ } + hcl), just as there are non-volatile substances. but while accepting the doctrine of reversible reactions and retaining the theory of the evaporation of liquids, it is possible to admit the existence of non-volatile substances, and in just the same way of reactions, without any visible conformity to berthollet's doctrine. this doctrine evidently comes nearer than the opposite doctrine of bergmann to solving the complex problems of chemical mechanics for the successful solution of which at the present time the most valuable help is to be expected from the working out of data concerning dissociation, the influence of mass, and the equilibrium and velocity of reactions. but it is evident that from this point of view we must not regard a solvent as a non-participant space, but must take into consideration the chemical reactions accompanying solution, or else bring about reactions without solution. thus if the salts mx and ny after reaction partly formed salts my and nx, then a state of equilibrium is reached and the reaction ceases; but if one of the resultant compounds, in virtue of its physical properties, passes from the sphere of action of the remaining substances, then the reaction will continue. this exit from the sphere of action depends on the physical properties of the substance and on the conditions under which the reaction takes place. thus, for instance, the salt nx may, in the case of reaction between solutions, separate as a precipitate, an insoluble substance, while the other three substances remain in solution, or it may pass into vapour, and in this manner also pass away from the sphere of action of the remaining substances. let us now suppose that it passes away in some form or other from the sphere of action of the remaining substances--for instance, that it is transformed into a precipitate or vapour--then a fresh reaction will set in and a re-formation of the salt nx. if this be removed, then, although the quantity of the elements n and x in the mass will be diminished, still, according to berthollet's law, a certain amount of nx should be again formed. when this substance is again formed, then, owing to its physical properties, it will again pass away; hence the reaction, in consequence of the physical properties of the resultant substances, is able to proceed to completion notwithstanding the possible weakness of the attraction existing between the elements entering into the composition of the resultant substance nx. naturally, if the resultant substance is formed of elements having a considerable degree of affinity, then the complete decomposition is considerably facilitated. such a representation of the _modus operandi_ of chemical transformations is applicable with great clearness to a number of reactions studied in chemistry, and, what is especially important, the application of this aspect of berthollet's teaching does not in any way require the determination of the measure of affinity acting between the substances present. for instance, the action of ammonia on solutions of salts; the displacement, by its means, of basic hydrates insoluble in water; the separation of volatile nitric acid by the aid of non-volatile sulphuric acid, as well as the decomposition of common salt by means of sulphuric acid, when gaseous hydrochloric acid is formed--may be taken as examples of reactions which proceed to the end, inasmuch as one of the resultant substances is entirely removed from the sphere of action, but they in no way indicate the measure of affinity.[ ] [ ] common salt not only enters into double decomposition with acids but also _with every salt_. however, as clearly follows from berthollet's doctrine, this form of decomposition will only in a few cases render it possible for new metallic chlorides to be obtained, because the decomposition will not be carried on to the end unless the metallic chloride formed separates from the mass of the active substances. thus, for example, if a solution of common salt be mixed with a solution of magnesium sulphate, double decomposition ensues, but not completely, because all the substances remain in the solution. in this case the decomposition must result in the formation of sodium sulphate and magnesium chloride, substances which are soluble in water; nothing is disengaged, and therefore the decomposition nacl + mgso_{ } = mgcl_{ } + na_{ }so_{ } cannot proceed to the end. however, the sodium sulphate formed in this manner may be separated by freezing the mixture. the complete separation of the sodium sulphate will naturally not take place, owing to a portion of the salt remaining in the solution. nevertheless, this kind of decomposition is made use of for the preparation of sodium sulphate from the residues left after the evaporation of sea-water, which contain a mixture of magnesium sulphate and common salt. such a mixture is found at stassfurt in a natural form. it might be said that this form of double decomposition is only accomplished with a change of temperature; but this would not be true, as may be concluded from other analogous cases. thus, for instance, a solution of copper sulphate is of a blue colour, while a solution of copper chloride is green. if we mix the two salts together the green tint is distinctly visible, so that by this means the presence of the copper chloride in the solution of copper sulphate is clearly seen. if now we add a solution of common salt to a solution of copper sulphate, a green coloration is obtained, which indicates the formation of copper chloride. in this instance it is not separated, but it is immediately formed on the addition of common salt, as it should be according to berthollet's doctrine. the complete formation of a metallic chloride from common salt can only occur, judging from the above, when it separates from the sphere of action. the salts of silver are instances in point, because the silver chloride is insoluble in water; and therefore if we add a solution of sodium chloride to a solution of a silver salt, silver chloride and the sodium salt of that acid which was in the silver salt are formed. as a proof that double decompositions like the above are actually accomplished in the sense of berthollet's doctrine, the fact may be cited that common salt may be entirely decomposed by nitric acid, and nitre may be completely decomposed by hydrochloric acid, just as they are decomposed by sulphuric acid; but this only takes place when, in the first instance, an excess of nitric acid is taken, and in the second instance, an excess of hydrochloric acid, for a given quantity of the sodium salt, and when the resultant acid passes off. if sodium chloride be put into a porcelain evaporating basin, nitric acid added to it, and the mixture heated, then both hydrochloric and nitric acids are expelled by the heat. thus the nitric acid partially acts on the sodium chloride, but on heating, as both acids are volatile, they are both converted into vapour; and therefore the residue will contain a mixture of a certain quantity of the sodium chloride taken and of the sodium nitrate formed. if a fresh quantity of nitric acid be then added, reaction will again set in, a certain portion of hydrochloric acid is again evolved, and on heating is expelled together with nitric acid. if this be repeated several times, it is possible to expel all the hydrochloric acid, and to obtain sodium nitrate only in the residue. if, on the contrary, we take sodium nitrate and add hydrochloric acid to it in an aqueous solution, a certain quantity of the hydrochloric acid displaces a portion of the nitric acid, and on heating the excess of hydrochloric acid passes away with the nitric acid formed. on repeating this process, it is possible to displace the nitric acid with an excess of hydrochloric acid, just as it was possible to displace the hydrochloric acid by an excess of nitric acid. the influence of the mass of the substance in action and the influence of volatility are here very distinctly seen. hence it may be affirmed that sulphuric acid does not displace hydrochloric acid because of an especially high degree of affinity, but that this reaction is only carried on to the end because the sulphuric acid is not volatile, whilst the hydrochloric acid which is formed is volatile. the preparation of hydrochloric acid in the laboratory and on a large scale is based upon these data. in the first instance, an excess of sulphuric acid is employed in order that the reaction may proceed easily at a low temperature, whilst on a large scale, when it is necessary to economise every material, equivalent quantities are taken in order to obtain the normal salt na_{ }so_{ } and not the acid salt, which would require twice as much acid. the hydrochloric acid evolved is a gas which is very soluble in water. it is most frequently used in practice in this state of solution under the name of _muriatic acid_.[ ] [ ] the apparatus shown in fig. (chapter vi., note ) is generally employed for the preparation of small quantities of hydrochloric acid. common salt is placed in the retort; the salt is generally previously fused, as it otherwise froths and boils over in the apparatus. when the apparatus is placed in order sulphuric acid mixed with water is poured down the thistle funnel into the retort. strong sulphuric acid (about half as much again as the weight of the salt) is usually taken, and it is diluted with a small quantity of water (half) if it be desired to retard the action, as in using strong sulphuric acid the action immediately begins with great vigour. the mixture, at first without the aid of heat and then at a moderate temperature (in a water-bath), evolves hydrochloric acid. commercial hydrochloric acid contains many impurities; it is usually purified by distillation, the middle portions being collected. it is purified from arsenic by adding fecl_{ }, distilling, and rejecting the first third of the distillate. if free hydrochloric acid gas be required, it is passed through a vessel containing strong sulphuric acid to dry it, and is collected over a mercury hath. phosphoric anhydride absorbs hydrogen chloride (bailey and fowler, ; p_{ }o_{ } + hcl = pocl_{ } + hpo_{ }) at the ordinary temperature, and therefore the gas cannot he dried by this substance. [illustration: fig. .--section of a salt-cake furnace. b, pan in which the sodium chloride and sulphuric acid are first mixed and heated. c, muffle for the ultimate decomposition.] in chemical works the decomposition of sodium chloride by means of sulphuric acid is carried on on a very large scale, chiefly with a view to the preparation of normal sodium sulphate, the hydrochloric acid being a bye-product.[ bis] the furnace employed is termed a _salt cake furnace_. it is represented in fig. , and consists of the following two parts: the pan b and the roaster c, or enclosed space built up of large bricks _a_ and enveloped on all sides by the smoke and flames from the fire grate, f. the ultimate decomposition of the salt by the sulphuric acid is accomplished in the roaster. but the first decomposition of sodium chloride by sulphuric acid does not require so high a temperature as the ultimate decomposition, and is therefore carried on in the front and cooler portion, b, whose bottom is heated by gas flues. when the reaction in this portion ceases and the evolution of hydrochloric acid stops, then the mass, which contains about half of the sodium chloride still undecomposed, and the sulphuric acid in the form of acid sodium sulphate, is removed from b and thrown into the roaster c, where the action is completed. normal sodium sulphate, which we shall afterwards describe, remains in the roaster. it is employed both directly in the manufacture of glass, and in the preparation of other sodium compounds--for instance, in the preparation of soda ash, as will afterwards be described. for the present we will only turn our attention to the hydrochloric acid evolved in b and c. [ bis] in chemical works where sulphuric acid of ° baumé ( p.c. of water) is employed, parts of sodium chloride are taken to about parts of sulphuric acid. the hydrochloric acid gas evolved is subjected to condensation by dissolving it in water.[ ] if the apparatus in which the decomposition is accomplished were hermetically closed, and only presented one outlet, then the escape of the hydrochloric acid would only proceed through the escape pipe intended for this purpose. but as it is impossible to construct a perfectly hermetically closed furnace of this kind, it is necessary to increase the draught by artificial means, or to oblige the hydrochloric acid gas to pass through those arrangements in which it is to be condensed. this is done by connecting the ends of the tubes through which the hydrochloric acid gas escapes from the furnace with high chimneys, where a strong draught is set up from the combustion of the fuel. this causes a current of hydrochloric acid gas to pass through the absorbing apparatus in a definite direction. here it encounters a current of water flowing in the opposite direction, by which it is absorbed. it is not customary to cause the acid to pass through the water, but only to bring it into contact with the surface of the water. the absorption apparatus consists of large earthenware vessels having four orifices, two above and two lateral ones in the wide central portion of each vessel. the upper orifices serve for connecting the vessels together, and the hydrochloric acid gas escaping from the furnace passes through these tubes. the water for absorbing the acid enters at the upper, and flows out from the lower, vessel, passing through the lateral orifices in the vessels. the water flows from the chimney towards the furnace and it is therefore evident that the outflowing water will be the most saturated with acid, of which it actually contains about per cent. the absorption in these vessels is not complete. the ultimate absorption of the hydrochloric acid is carried on in the so-called _coke towers_, which usually consist of two adjacent chimneys. a lattice-work of bricks is laid on the bottom of these towers, on which coke is piled up to the top of the tower. water, distributing itself over the coke, trickles down to the bottom of the tower, and in so doing absorbs the hydrochloric acid gas rising upwards. [ ] as in works which treat common salt in order to obtain sodium sulphate, the hydrochloric acid is sometimes held to be of no value, it might be allowed to escape with the waste furnace gases into the atmosphere, which would greatly injure the air of the neighbourhood and destroy all vegetation. in all countries, therefore, there are laws forbidding the factories to proceed in this manner, and requiring the absorption of the hydrochloric acid by water at the works themselves, and not permitting the solution to be run into rivers and streams, whose waters it would spoil. it may be remarked that the absorption of hydrochloric acid presents no particular difficulties (the absorption of sulphurous acid is much more difficult) because hydrochloric acid has a great affinity for water and gives a hydrate which boils above °. hence, even steam and hot water, as well as weaker solutions, can be used for absorbing the acid. however, warder ( ) showed that weak solutions of composition h_{ }o + _n_hcl when boiled (the residue will be almost hcl, h_{ }o) evolve (not water but) a solution of the composition h_{ }o + _n_^{ }hcl; for example, on distilling hcl, h_{ }o, hcl, h_{ }o is first obtained in the distillate. as the strength of the residue becomes greater, so also does that of the distillate, and therefore in order to completely absorb hydrochloric acid it is necessary in the end to have recourse to water. as in russia the manufacture of sodium sulphate from sodium chloride has not yet been sufficiently developed, and as hydrochloric acid is required for many technical purposes (for instance, for the preparation of zinc chloride, which is employed for soaking railway sleepers), therefore salt is often treated mainly for the manufacture of hydrochloric acid. it will be readily understood that hydrochloric acid may be obtained from all other metallic chlorides.[ ] it is frequently formed in other reactions, many of which we shall meet with in the further course of this work. it is, for instance, formed by the action of water on sulphur chloride, phosphorus chloride, antimony chloride, &c. [ ] thus the metallic chlorides, which are decomposed to a greater or less degree by water, correspond with feeble bases. such are, for example, mgcl_{ }, alcl_{ }, sbcl_{ }, bicl_{ }. the decomposition of magnesium chloride (and also carnallite) by sulphuric acid proceeds at the ordinary temperature; water decomposes mgcl_{ } to the extent of p.c. when aided by heat, and _may be employed_ as a convenient _method for the production of hydrochloric acid_. hydrochloric acid is also produced by the ignition of certain metallic chlorides in a stream of hydrogen, especially of those metals which are easily reduced and difficultly oxidised--for instance, silver chloride. lead chloride, when heated to redness in a current of steam, gives hydrochloric acid and lead oxide. the multitude of the cases of formation of hydrochloric acid are understood from the fact that it is a substance which is comparatively very stable, resembling water in this respect, and even most probably more stable than water, because, at a high temperature and even under the action of light, chlorine decomposes water, with the formation of hydrochloric acid. the combination of chlorine and hydrogen also proceeds by their direct action, as we shall afterwards describe. _hydrochloric acid_ is a colourless gas having a pungent suffocating odour and an acid taste. this gas fumes in air and attracts moisture, because it forms vapour containing a compound of hydrochloric acid and water. hydrochloric acid is liquefied by cold, and under a pressure of atmospheres, into a colourless liquid of sp. gr. · at °,[ ] boiling point - ° and absolute boiling point + °. we have already seen (chapter i.) that hydrochloric acid combines very energetically _with water_, and in so doing evolves a considerable amount of heat. the solution saturated in the cold attains a density · . on heating such a solution containing about parts of acid per parts, the hydrochloric acid gas is expelled with only a slight admixture of aqueous vapour. but it is impossible to entirely separate the whole of the hydrochloric acid from the water by this means, as could be done in the case of an ammoniacal solution. the temperature required for the evolution of the gas rises and reaches °- °, and after this remains constant--that is, a solution having a constant boiling point is obtained (as with hno_{ }), which, however, does not (roscoe and dittmar) present a constant composition under different pressures, because the hydrate is decomposed in distillation, as is seen from the determinations of its vapour density (bineau). judging from the facts ( ) that with decrease of the pressure under which the distillation proceeds the solution of constant boiling point approaches to a composition of p.c. of hydrochloric acid,[ ] ( ) that by passing a stream of dry air through a solution of hydrochloric acid there is obtained in the residue a solution which also approaches to p.c. of acid, and more nearly as the temperature falls,[ ] ( ) that many of the properties of solutions of hydrochloric acid vary distinctly according as they contain more or less than p.c. of hydrochloric acid (for instance, antimonious sulphide gives hydrogen sulphide with a stronger acid, but is not acted on by a weaker solution, also a stronger solution fumes in the air, &c.), and ( ) that the composition hcl, h_{ }o corresponds with · p.c. hcl--judging from all these data, and also from the loss of tension which occurs in the combination of hydrochloric acid with water, it may be said that they form a _definite hydrate_ of the composition hcl, h_{ }o. besides this hydrate there exists also a crystallo-hydrate, hcl, h_{ }o,[ ] which is formed by the absorption of hydrochloric acid by a saturated solution at a temperature of - °. it crystallises and melts at - °.[ ] [ ] according to ansdell ( ) the sp. gr. of liquid hydrochloric acid at ° = · , at · ° = · , at · ° = · , at ° = · . hence it is seen that the expansion of this liquid is greater than that of gases (chapter ii., note ). [ ] according to roscoe and dittmar at a pressure of three atmospheres the solution of constant boiling point contains p.c. of hydrogen chloride, and at a pressure of one-tenth atmosphere p.c. the percentage is intermediate at medium pressures. [ ] at ° p.c., at ° · p.c.; roscoe and dittmar. [ ] this crystallo-hydrate (obtained by pierre and puchot, and investigated by roozeboom) is analogous to nacl, h_{ }o. the crystals hcl, h_{ }o at - ° have a specific gravity · ; the vapour tension (under dissociation) of the solution having a composition hcl, h_{ }o at - ° = , at - ° = , , at - ° = , , at - ° = , mm. of mercury. in a solid state the crystallo-hydrate at - · ° has the same tension, whilst at lower temperatures it is much less: at - ° about , at - ° about mm. a mixture of fuming hydrochloric acid with snow reduces the temperature to - °. if another equivalent of water be added to the hydrate hcl, h_{ }o at - °, the temperature of solidification falls to - °, and the hydrate hcl, h_{ }o is formed (pickering, ). [ ] according to roscoe at ° one _hundred_ grams of water at a pressure _p_ (in millimetres of mercury) dissolves-- _p_ = , grams hcl · · · · · · at a pressure of millimetres and temperature _t_, one _hundred_ grams of water dissolves _t_ = ° ° ° ° ° grams hcl · · · · · · roozeboom ( ) showed that at _t_° solutions containing _c_ grams of hydrogen chloride per grams of water may (with the variation of the pressure _p_) be formed together with the crystallo-hydrate hcl, h_{ }o: _t_ = - °· - ° - ° - ° - °· _c_ = · · · · · _p_ = -- , mm. the last combination answers to the melted crystallo-hydrate hcl, h_{ }o, which splits up at temperatures above - °· , and at a constant atmospheric pressure when there are no crystals-- _t_ = - ° - ° - ° - ° ° _c_ = · · · · · from these data it is seen that the hydrate hcl, h_{ }o can exist in a liquid state, which is not the case for the hydrates of carbonic and sulphurous anhydrides, chlorine, &c. according to marignac, the specific heat _c_ of a solution hcl + _m_h_{ }o (at about °, taking the specific heat of water = ) is given by the expression-- c( · + _m_ ) = _m_ - · + /_m_ - /_m_^ if _m_ be not less than · . for example, for hcl + h_{ }o, c = · . according to thomsen's data, the amount of heat _q_, expressed in thousands of calories, evolved in the solution of · grams of gaseous hydrochloric acid in _m_h_{ }o or _m_ grams of water is equal to-- _m_ = _q_ = · · · · · in these quantities the latent heat of liquefaction is included, which must be taken as - thousand calories per molecular quantity of hydrogen chloride. the researches of scheffer ( ) on the rate of diffusion (in water) of solutions of hydrochloric acid show that the coefficient of diffusion _k_ decreases with the amount of water _n_, if the composition of the solution is hcl,_n_h_{ }o at °:-- _n_ = · · · · _k_ = · · · · · · it also appears that strong solutions diffuse more rapidly into dilute solutions than into water. the mean specific gravities at °, taking water at its maximum density ( °) as , , for solutions containing _p_ per cent. of hydrogen chloride are-- _p_ _s_ _p_ _s_ , , , , , , , , the formula _s_ = , · + · _p_ + · _p_^ , up to _p_ = · , which answers to the hydrate hcl, h_{ }o mentioned above, gives the specific gravity. above this percentage _s_ = , · + · _p_- · _p_^ . the rise of specific gravity with an increase of percentage (or the differential _ds/dp_) reaches a maximum at about p.c.[ ] the intermediate solution, hcl, h_{ }o, is further distinguished by the fact that the variation of the specific gravity with the variation of temperature is a constant quantity, so that the specific gravity of this solution is equal to , · ( - · _t_), where · is the coefficient of expansion of the solution.[ ] in the case of more dilute solutions, as with water, the specific gravity per ° (or the differential _ds_/_dt_) rises with a rise of temperature.[ ] _p_ = _s__{ } - _s__{ } = · _s__{ } - _s__{ } = · whilst for solutions which contain a greater proportion of hydrogen chloride than hcl, h_{ }o, these coefficients _decrease_ with a rise of temperature; for instance, for p.c. of hydrogen chloride _s__{ }-_s__{ } = and _s__{ }-_s__{ } = (according to marignac's data). in the case of hcl, h_{ }o these differences are constant, and equal . [ ] if it be admitted that the maximum of the differential corresponds with hcl, h_{ }o, then it might be thought that the specific gravity is expressed by a parabola of the third order; but such an admission does not give expressions in accordance with fact. this is all more fully considered in my work mentioned in chapter i., note . [ ] as in water, the coefficient of expansion (or the quantity _k_ in the expression s_{_t_} = s_{_ _}-_k_s_{_ _}_t_, or v_t_ = /( -_kt_)) attains a magnitude · at about °, it might be thought that at ° all solutions of hydrochloric acid would have the same coefficient of expansion, but in reality this is not the case. at low and at the ordinary temperatures the coefficient of expansion of aqueous solutions is greater than that of water, and increases with the amount of substance dissolved. [ ] the figures cited above may serve for the direct determination of that variation of the specific gravity of solutions of hydrochloric acid with the temperature. thus, knowing that at ° the specific gravity of a p.c. solution of hydrochloric acid = , , we find that at _t_° it = , -_t_( · + · _t_). whence also may be found the coefficient of expansion (note ). thus the formation of two definite hydrates, hcl, h_{ }o and hcl, h_{ }o, between hydrochloric acid and water may be accepted upon the basis of many facts. but both of them, if they occur in a liquid state, dissociate with great facility into hydrogen chloride and water, and are completely decomposed when distilled. all solutions of hydrochloric acid present the properties of an energetic acid. they not only transform blue vegetable colouring matter into red, and disengage carbonic acid gas from carbonates, &c., but they also entirely saturate bases, even such energetic ones as potash, lime, &c. in a dry state, however, hydrochloric acid does not alter vegetable dyes, and does not effect many double decompositions which easily take place in the presence of water. this is explained by the fact that the gaso-elastic state of the hydrochloric acid prevents its entering into reaction. however, incandescent iron, zinc, sodium, &c., act on gaseous hydrochloric acid, displacing the hydrogen and leaving half a volume of hydrogen for each volume of hydrochloric acid gas; this reaction may serve for determining the composition of hydrochloric acid. combined with water hydrochloric acid acts as an acid much resembling nitric acid[ ] in its energy and in many of its reactions; however, the latter contains oxygen, which is disengaged with great ease, and so very frequently acts as an oxidiser, which hydrochloric acid is not capable of doing. the majority of metals (even those which do not displace the h from h_{ }so_{ }, but which, like copper, decompose it to the limit of so_{ }) displace the hydrogen from hydrochloric acid. thus hydrogen is disengaged by the action of zinc, and even of copper and tin.[ bis] only a few metals withstand its action; for example, gold and platinum. lead in compact masses is only acted on feebly, because the lead chloride formed is insoluble and prevents the further action of the acid on the metal. the same is to be remarked with respect to the feeble action of hydrochloric acid on mercury and silver, because the compounds of these metals, agcl and hgcl, are insoluble in water. metallic chlorides are not only formed by the action of hydrochloric acid on the metals, but also by many other methods; for instance, by the action of hydrochloric acid on the carbonates, oxides, and hydroxides, and also by the action of chlorine on metals and certain of their compounds. metallic chlorides have a composition mcl; for example, nacl, kcl, agcl, hgcl, if the metal replaces hydrogen equivalent for equivalent, or, as it is said, if it be monatomic or univalent. in the case of bivalent metals, they have a composition mcl_{ }; for example, cacl_{ }, cucl_{ }, pbcl_{ }, hgcl_{ }, fecl_{ }, mncl_{ }. the composition of the haloid salts of other metals presents a further variation; for example, alcl_{ }, ptcl_{ }, &c. many metals, for instance fe, give several degrees of combination with chlorine (fecl_{ }, fecl_{ }) as with hydrogen. in their composition the metallic chlorides differ from the corresponding oxides, in that the o is replaced by cl_{ }, as should follow from the law of substitution, because oxygen gives oh_{ }, and is consequently bivalent, whilst chlorine forms hcl, and is therefore univalent. so, for instance, ferrous oxide, feo, corresponds with ferrous chloride, fecl_{ }, and the oxide fe_{ }o_{ } with ferric chloride, which is also seen from the origin of these compounds, for fecl_{ } is obtained by the action of hydrochloric acid on ferrous oxide or carbonate and fecl_{ } by its action on ferric oxide. in a word, all the typical properties of acids are shown by hydrochloric acid, and all the typical properties of salts in the metallic chlorides derived from it. acids and salts composed like hcl and m_{n}cl_{ m} without any oxygen bear the name of haloid salts; for instance, hcl is a haloid acid, nacl a haloid salt, chlorine a halogen. the capacity of hydrochloric acid to give, by its action on bases, mo, a metallic chloride, mcl_{ }, and water, is limited at high temperatures by the reverse reaction mcl_{ } + h_{ }o = mo + hcl, and the more pronounced are the basic properties of mo the feebler is the reverse action, while for feebler bases such as al_{ }o_{ }, mgo, &c., this reverse reaction proceeds with ease. metallic chlorides corresponding with the peroxides either do not exist, or are easily decomposed with the disengagement of chlorine. thus there is no compound bacl_{ } corresponding with the peroxide bao_{ }. metallic chlorides having the general aspect of salts, like their representative sodium chloride, are, as a rule, easily fusible, more so than the oxides (for instance, cao is infusible at a furnace heat, whilst cacl_{ } is easily fused) and many other salts. under the action of heat many chlorides are more stable than the oxides, some can even be converted into vapour; thus corrosive sublimate, hgcl_{ }, is particularly volatile, whilst the oxide hgo decomposes at a red heat. silver chloride, agcl, is fusible and is decomposed with difficulty, whilst ag_{ }o is easily decomposed. the majority of the metallic chlorides are soluble in water, but silver chloride, cuprous chloride, mercurous chloride, and lead chloride are sparingly soluble in water, and are therefore easily obtained as precipitates when a solution of the salts of these metals is mixed with a solution of any chloride or even with hydrochloric acid. the metal contained in a haloid salt may often be replaced by another metal, or even by hydrogen, just as is the case with a metal in an oxide. thus copper displaces mercury from a solution of mercuric chloride, hgcl_{ } + cu = cucl_{ } + hg, and hydrogen at a red heat displaces silver from silver chloride, agcl + h_{ } = ag_{ } + hcl. these, and a whole series of similar reactions, form the typical methods of double saline decompositions. the measure of decomposition and the conditions under which reactions of double saline decompositions proceed in one or in the other direction are determined by the properties of the compounds which take part in the reaction, and of those capable of formation at the temperature, &c., as was shown in the preceding portions of this chapter, and as will be frequently found hereafter. [ ] thus, for instance, with feeble bases they evolve in dilute solutions (chapter iii., note ) almost equal amounts of heat; their relation to sulphuric acid is quite identical. they both form fuming solutions as well as hydrates; they both form solutions of constant boiling point. [ bis] pybalkin ( ) found that copper begins to disengage hydrogen at °, and that chloride of copper begins to give up its chlorine to hydrogen gas at °; for silver these temperatures are ° and °--that is, there is less difference between them. if hydrochloric acid enters into double decomposition with basic oxides and their hydrates, this is only due to its acid properties; and for the same reason it rarely enters into double decomposition with acids and acid anhydrides. sometimes, however, it combines with the latter, as, for instance, with the anhydride of sulphuric acid, forming the compound so_{ }hcl; and in other cases it acts on acids, giving up its hydrogen to their oxygen and forming chlorine, as will be seen in the following chapter. hydrochloric acid, as may already be concluded from the composition of its molecule, belongs to the monobasic acids, and does not, therefore, give true acid salts (like hnaso_{ } or hnaco_{ }); nevertheless many metallic chlorides, formed from powerful bases, are capable of _combining with hydrochloric acid_, just as they combine with water, or with ammonia, or as they give double salts. compounds have long been known of hydrochloric acid with auric, platinic, and antimonious chlorides, and other similar metallic chlorides corresponding with very feeble bases. but berthelot, engel, and others have shown that the capacity of hcl for combining with m_{_n_}cl_{_m_} is much more frequently encountered than was previously supposed. thus, for instance, dry hydrochloric acid when passed into a solution of zinc chloride (containing an excess of the salt) gives in the cold ( °) a compound hcl,zncl_{ }, h_{ }o, and at the ordinary temperature hcl, zncl_{ }, h_{ }o, just as it is able at low temperatures to form the crystallo-hydrate zncl_{ }, h_{ }o (engel, ). similar compounds are obtained with cdcl_{ },cucl_{ }, hgcl_{ },fe_{ }cl_{ }, &c. (berthelot, ditte, cheltzoff, lachinoff, and others). these compounds with hydrochloric acid are generally more soluble in water than the metallic chlorides themselves, so that whilst hydrochloric acid decreases the solubility of m_{_n_}cl_{_m_}, corresponding with energetic bases (for instance, sodium or barium chlorides), it increases the solubility of the metallic chlorides corresponding with feeble bases (cadmium chloride, ferric chloride, &c.) silver chloride, which is insoluble in water, is soluble in hydrochloric acid. hydrochloric acid also combines with certain unsaturated hydrocarbons (for instance, with turpentine, c_{ }h_{ }, hcl) and their derivatives. _sal-ammoniac_, or ammonia hydrochloride, nh_{ }cl = nh_{ },hcl, also belongs to this class of compounds.[ ] if hydrogen chloride gas be mixed with ammonia gas a solid compound consisting of equal volumes of each is immediately formed. the same compound is obtained on mixing solutions of the two gases. it is also produced by the action of hydrochloric acid on ammonium carbonate. sal-ammoniac is usually prepared, in practice, by the last method.[ ] the specific gravity of sal-ammoniac is · . we have already seen (chapter vi.) that sal-ammoniac, like all other ammonium salts, easily decomposes; for instance, by volatilisation with alkalis, and even partially when its solution is boiled. the other properties and reactions of sal-ammoniac, especially in solution, fully recall those already mentioned in speaking of sodium chloride. thus, for instance, with silver nitrate it gives a precipitate of silver chloride; with sulphuric acid it gives hydrochloric acid and ammonium sulphate, and it forms double salts with certain metallic chlorides and other salts.[ ] [ ] when an unsaturated hydrocarbon, or, in general, an unsaturated compound, assimilates to itself the molecules cl_{ }, hcl, so_{ }, h_{ }so_{ }, &c., the cause of the reaction is most simple. as nitrogen, besides the type nx_{ } to which nh_{ }, belongs, gives compounds of the type nx_{ }--for example, no_{ }(oh)--the formation of the salts of ammonium should be understood in this way. nh_{ } gives nh_{ }cl because nx_{ } is capable of giving nx_{ }. but as saturated compounds--for instance, so_{ },h_{ }o, nacl, &c.--are also capable of combination even between themselves, it is impossible to deny the capacity of hcl also for combination. so_{ } combines with h_{ }o, and also with hcl and the unsaturated hydrocarbons. it is impossible to recognise the distinction formerly sought to be established between atomic and molecular compounds, and regarding, for instance, pcl_{ } as an atomic compound and pcl_{ } as a molecular one, only because it easily splits up into molecules pcl_{ } and cl_{ }. [ ] sal-ammoniac is prepared from ammonium carbonate, obtained in the dry distillation of nitrogenous substances (chapter vi.), by saturating the resultant solution with hydrochloric acid. a solution of sal-ammoniac is thus produced, which is evaporated, and in the residue a mass is obtained containing a mixture of various other, especially tarry, products of dry distillation. the sal-ammoniac is generally purified by sublimation. for this purpose iron vessels covered with hemispherical metallic covers are employed, or else simply clay crucibles covered by other crucibles. the upper portion, or head, of the apparatus of this kind will have a lower temperature than the lower portion, which is under the direct action of the flame. the sal-ammoniac volatilises when heated, and settles on the cooler portion of the apparatus. it is thus freed from many impurities, and is obtained as a crystalline crust, generally several centimetres thick, in which form it is commonly sold. the solubility of sal-ammoniac rises rapidly with the temperature: at °, parts of water dissolve about parts of nh_{ }cl, at ° about parts, and at the ordinary temperature about parts. this is sometimes taken advantage of for separating nh_{ }cl from solutions of other salts. [ ] the solubility of sal-ammoniac in parts of water (according to alluard) is-- ° ° ° ° ° ° ° ° ° · · · · a saturated solution boils at °· . the specific gravity at °/ ° of solutions of sal-ammoniac (water ° = , ) = , · - · _p_- · _p_^ , where _p_ is the amount by weight of ammonium chloride in parts of solution. with the majority of salts the differential _ds_/_dp_ increases, but here it decreases with the increase of _p_. for (unlike the sodium and potassium salts) a solution of the alkali _plus_ a solution of acid occupy a greater volume than that of the resultant ammonium salt. in the solution of _solid_ ammonium chloride a contraction, and not expansion, generally takes place. it may further be remarked that solutions of sal-ammoniac have an acid reaction even when prepared from the salt remaining after prolonged washing of the sublimed salt with water (a. stcherbakoff). chapter xi the halogens: chlorine, bromine, iodine, and fluorine although hydrochloric acid, like water, is one of the most stable substances, it is nevertheless decomposed not only by the action of a galvanic current,[ ] but also by a high temperature. sainte-claire deville showed that decomposition already occurs at , °, because a cold tube (as with co, chapter ix.) covered with an amalgam of silver absorbs chlorine from hydrochloric acid in a red-hot tube, and the escaping gas contains hydrogen. v. meyer and langer ( ) observed the decomposition of hydrochloric acid at , ° in a platinum vessel; the decomposition in this instance was proved not only from the fact that hydrogen diffused through the platinum (p. ), owing to which the volume was diminished, but also from chlorine being obtained in the residue (the hydrogen chloride was mixed with nitrogen), which liberated iodine from potassium iodide.[ ] the usual method for the preparation of chlorine consists in the abstraction of the hydrogen by oxidising agents.[ bis] [ ] the decomposition of fused sodium chloride by an electric current has been proposed in america and russia (n. n. beketoff) as a means for the preparation of chlorine and sodium. a strong solution of hydrochloric acid is decomposed into equal volumes of chlorine and hydrogen by the action of an electric current. if sodium chloride and lead be melted in a crucible, the former being connected with the cathode and a carbon anode immersed in the lead, then the lead dissolves sodium and chlorine is disengaged as gas. this electrolytic method has not yet been practised on a large scale, probably because gaseous chlorine has not many applications, and because of the difficulty there is in dealing with it. [ ] to obtain so high a temperature (at which the best kinds of porcelain soften) langer and meyer employed the dense graphitoidal carbon from gas retorts, and a powerful blast. they determined the temperature by the alteration of the volume of nitrogen in the platinum vessel, for this gas does not permeate through platinum, and is unaltered by heat. [ bis] the acid properties of hydrochloric acid were known when lavoisier pointed out the formation of acids by the combination of water with the oxides of the non-metals, and therefore there was reason for thinking that hydrochloric acid was formed by the combination of water with the oxide of some element. hence when scheele obtained chlorine by the action of hydrochloric acid on manganese peroxide he considered it as the acid contained in common salt. when it became known that chlorine gives hydrochloric acid with hydrogen, lavoisier and berthollet supposed it to be a compound with oxygen of an anhydride contained in hydrochloric acid. they supposed that hydrochloric acid contained water and the oxide of a particular radicle, and that chlorine was a higher degree of oxidation of this radicle _muvias_ (from the latin neme of hydrochloric acid, _acidum muriaticum_). it was only in that gay-lussac and thénard in france and davy in england arrived at the conclusion that the substance obtained by scheele does not contain oxygen, nor under any conditions give water with hydrogen, and that there is no water in hydrochloric acid gas, and therefore concluded that chlorine is an elementary substance. they named it 'chlorine' from the greek word [greek: chlôros], signifying a green colour, because of the peculiar colour by which this gas is characterised. an aqueous solution of hydrochloric acid is generally employed for t he evolution of chlorine. the hydrogen has to be abstracted from the hydrochloric acid. this is accomplished by nearly all oxidising substances, and especially by those which are able to evolve oxygen at a red heat (besides bases, such as mercury and silver oxides, which are able to give salts with hydrogen chloride); for example, manganese peroxide, potassium chlorate, chromic acid, &c. the decomposition essentially consists in the oxygen of the oxidising substance displacing the chlorine from hcl, forming water, h_{ }o, and setting the chlorine free, hcl + o (disengaged by the oxidising substances) = h_{ }o + cl_{ }. even nitric acid partially produces a like reaction; but as we shall afterwards see its action is more complicated, and it is therefore not suitable for the preparation of pure chlorine.[ ] but other oxidising substances which do not give any other volatile products with hydrochloric acid may be employed for the preparation of chlorine. among these may be mentioned: potassium chlorate, acid potassium chromate, sodium manganate, manganese peroxide, &c. manganese peroxide is commonly employed in the laboratory, and on a large scale, for the preparation of chlorine. the chemical process in this case may be represented as follows: an exchange takes place between hcl and mno_{ }, in which the manganese takes the place of the four atoms of hydrogen, or the chlorine and oxygen exchange places--that is, mncl_{ } and h_{ }o are produced. the chlorine compound, mncl_{ }, obtained is very unstable; it splits up into chlorine, which as a gas passes from the sphere of action, and a lower compound containing less chlorine than the substance first formed, which remains in the apparatus in which the mixture is heated, mncl_{ } = mncl_{ } + cl_{ }.[ bis] the action of hydrochloric acid requires a temperature of about °. in the laboratory the _preparation of chlorine_ is carried on in flasks, heated over a water-bath, by acting on manganese peroxide with hydrochloric acid or a mixture of common salt and sulphuric acid[ ] and washing the gas with water to remove hydrochloric acid.[ ] chlorine cannot be collected over mercury, because it combines with it as with many other metals, and it is soluble in water; however, it is but slightly soluble in hot water or brine. owing to its great weight, chlorine may be directly collected in a dry vessel by carrying the gas-conducting tube down to the bottom of the vessel. the chlorine will lie in a heavy layer at the bottom of the vessel, displace the air, and the extent to which it fills the vessel may be followed by its colour.[ ] [ ] however, nitric acid has been proposed as a means for obtaining chlorine, but by methods which have the drawback of being very complicated [ bis] this representation of the process of the reaction is most natural. however, this decomposition is generally represented as if chlorine gave only one degree of combination with manganese, mncl_{ }, and therefore directly reacts in the following manner--mno_{ } + hcl = mncl_{ } + h_{ }o + cl_{ }, in which case it is supposed that manganese peroxide, mno_{ }, breaks up, as it were, into manganous oxide, mno and oxygen, both of which react with hydrochloric acid, the manganous oxide acting upon hcl as a base, giving mncl_{ } and at the same time hcl + o = h_{ }o + cl_{ }. in reality, a mixture of oxygen and hydrochloric acid does give chlorine at a red heat, and this reaction may also take place at the moment of its evolution in this case. all the oxides of manganese (mn_{ }o_{ }, mno_{ }, mno_{ }, mn_{ }o_{ }), with the exception of manganous oxide, mno, disengage chlorine from hydrochloric acid, because manganous chloride, mncl_{ }, is the only compound of chlorine and manganese which exists as a stable compound, all the higher chlorides of manganese being unstable and evolving chlorine. hence we here take note of two separate changes: ( ) an exchange between oxygen and chlorine, and ( ) the instability of the higher chlorine compounds. as (according to the law of substitution) in the substitution of oxygen by chlorine, cl_{ } takes the place of o, the chlorine compounds will contain more atoms than the corresponding oxygen compounds. it is not surprising, therefore, that certain of the chlorine compounds corresponding with oxygen compounds do not exist, or if they are formed are very unstable. and furthermore, an atom of chlorine is heavier than an atom of oxygen, and therefore a given element would have to retain a large mass of chlorine if in the higher oxides the oxygen were replaced by chlorine. for this reason equivalent compounds of chlorine do not exist for all oxygen compounds. many of the former are immediately decomposed, when formed, with the evolution of chlorine. from this it is evident that there should exist such chlorine compounds as would evolve chlorine as peroxides evolve oxygen, and indeed a large number of such compounds are known. amongst them may be mentioned antimony pentachloride, sbcl_{ }, which splits up into chlorine and antimony trichloride when heated. cupric chloride, corresponding with copper oxide, and having a composition cucl_{ }, similar to cuo, when heated parts with half its chlorine, just as barium peroxide evolves half its oxygen. this method may even be taken advantage of for the preparation of chlorine and cuprous chloride, cucl. the latter attracts oxygen from the atmosphere, and in so doing is converted from a colourless substance into a green compound whose composition is cu_{ }cl_{ }o. with hydrochloric acid this substance gives cupric chloride (cu_{ }cl_{ }o + hcl = h_{ }o + cucl_{ }), which has only to be dried and heated in order again to obtain chlorine. thus, in solution, and at the ordinary temperature, the compound cucl_{ } is stable, but when heated it splits up. on this property is founded deacon's process for the preparation of chlorine from hydrochloric acid with the aid of air and copper salts, by passing a mixture of air and hydrochloric acid at about ° over bricks saturated with a solution of a copper salt (a mixture of solutions of cuso_{ } and na_{ }so_{ }). cucl_{ } is then formed by the double decomposition of the salt of copper and the hydrochloric acid; the cucl_{ } liberates chlorine, and the cucl forms cu_{ }cl_{ }o with the oxygen of the air, which again gives cucl_{ } with hcl, and so on. magnesium chloride, which is obtained from sea-water, carnallite, &c., may serve not only as a means for the preparation of hydrochloric acid, but also of chlorine, because its basic salt (magnesium oxychloride) when heated in the air gives magnesium oxide and chlorine (weldon-pechiney's process, ). chlorine is now prepared on a large scale by this method. several new methods based upon this reaction have been proposed for procuring chlorine from the bye-products of other chemical processes. thus, lyte and tattars ( ) obtained up to p.c. of chlorine from cacl_{ } in this manner. a solution of cacl_{ }, containing a certain amount of common salt, is evaporated and oxide of magnesium added to it. when the solution attains a density of · (at °), it is treated with carbonic acid, which precipitates carbonate of calcium, while chloride of magnesium remains in solution. after adding ammonium chloride, the solution is evaporated to dryness and the double chloride of magnesium and ammonium formed is ignited, which drives off the chloride of ammonium. the chloride of magnesium which remains behind is used in the weldon-pechiney process. the de wilde-reychler ( ) process for the manufacture of chlorine consists in passing alternate currents of hot air and hydrochloric acid gas through a cylinder containing a mixture of the chlorides of magnesium and manganese. a certain amount of sulphate of magnesium which does not participate in any way in the reaction, is added to the mixture to prevent its fusing. the reactions may be expressed by the following equations: ( ) mgcl_{ } + mncl_{ } + o = mg_{ }mn_{ }o_{ } + cl; ( ) mg_{ }mn_{ }o_{ } + hcl = mgcl_{ } + mncl_{ } + h_{ }o + cl. as nitric acid is able to take up the hydrogen from hydrochloric acid, a heated mixture of these acids is also employed for the preparation of chlorine. the resultant mixture of chlorine and lower oxides of nitrogen is mixed with air and steam which regenerates the hno_{ }, while the chlorine remains as a gas together with nitrogen, in which form it is quite capable of bleaching, forming chloride of lime, &c. besides these, solvay and mond's methods of preparing chlorine must be mentioned. the first is based upon the reaction cacl_{ } + sio_{ } + o(air) = caosio_{ } + cl_{ }, the second on the action of the oxygen of the air (heated) upon mgcl_{ } (and certain similar chlorides) mgcl_{ } + o = mgo + cl_{ } the remaining mgo is treated with sal-ammoniac to re-form mgcl_{ } (mgo + nh_{ }cl = mgcl_{ } + h_{ }o + nh_{ }) and the resultant nh_{ } again converted into sal-ammoniac, so that hydrochloric acid is the only substance consumed. the latter processes have not yet found much application. [ ] the following proportions are accordingly taken by weight: parts of powdered manganese peroxide, parts of salt (best fused, to prevent its frothing), and parts of sulphuric acid previously mixed with an equal volume of water. the mixture is heated in a salt bath, so as to obtain a temperature above °. the corks in the apparatus must be soaked in paraffin (otherwise they are corroded by the chlorine), and black india-rubber tubing smeared with vaseline must be used, and not vulcanised rubber (which contains sulphur, and becomes brittle under the action of the chlorine). the reaction which proceeds may be expressed thus: mno_{ } + nacl + h_{ }so_{ } = mnso_{ } + na_{ }so_{ } + h_{ }o + cl_{ }. the method of preparation of cl_{ } from manganese peroxide and hydrochloric acid was discovered by scheele, and from sodium chloride by berthollet. [ ] the reaction of hydrochloric acid upon bleaching powder gives chlorine without the aid of heat, cacl_{ }o_{ } + hcl = cacl_{ } + h_{ }o + cl_{ } and is therefore also used for the preparation of chlorine. this reaction is very violent if all the acid be added at once; it should be poured in drop by drop (mermé, kämmerer). c. winkler proposed to mix bleaching powder with one quarter of burnt and powdered gypsum, and having damped the mixture with water, to press and cut it up into cubes and dry at the ordinary temperature. these cubes can be used for the preparation of chlorine in the same apparatus as that used for the evolution of hydrogen and carbonic anhydride--the disengagement of the chlorine proceeds uniformly. a mixture of potassium dichromate and hydrochloric acid evolves chlorine perfectly free from oxygen (v. meyer and langer). [ ] [illustration: fig. .--clay retort for the preparation of chlorine on a large scale.] chlorine is manufactured on a _large scale_ from manganese peroxide and hydrochloric acid. it is most conveniently prepared in the apparatus shown in fig. , which consists of a three-necked earthenware vessel whose central orifice is the largest. a clay or lead funnel, furnished with a number of orifices, is placed in the central wide neck of the vessel. roughly-ground lumps of natural manganese peroxide are placed in the funnel, which is then closed by the cover n, and luted with clay. one orifice is closed by a clay stopper, and is used for the introduction of the hydrochloric acid and withdrawal of the residues. the chlorine disengaged passes along a leaden gas-conducting tube placed in the other orifice. a row of these vessels is surrounded by a water-bath to ensure their being uniformly heated. manganese chloride is found in the residue. in weldon's process lime is added to the acid solution of manganese chloride. a double decomposition takes place, resulting in the formation of manganous hydroxide and calcium chloride. when the insoluble manganous hydroxide has settled, a further excess of milk of lime is added (to make a mixture mn(oh)_{ } + cao + _x_cacl_{ }, which is found to be the best proportion, judging from experiment), and then air is forced through the mixture. the hydroxide is thus converted from a colourless to a brown substance, containing peroxide, mno_{ }, and oxide of manganese, mn_{ }o_{ }. this is due to the manganous oxide absorbing oxygen from the air. under the action of hydrochloric acid this mixture evolves chlorine, because of all the compounds of chlorine and manganese the chloride mncl_{ } is the only one which is stable (_see_ note ). thus one and the same mass of manganese may be repeatedly used for the preparation of chlorine. the same result is attained in other ways. if manganous oxide be subjected to the action of oxides of nitrogen and air (coleman's process), then manganese nitrate is formed, which at a red heat gives oxides of nitrogen (which are again used in the process) and manganese peroxide, which is thus renewed for the fresh evolution of chlorine. chlorine is a _gas_ of a yellowish green colour, and has a very suffocating and characteristic odour. on lowering the temperature to - ° or increasing the pressure to six atmospheres (at °) chlorine condenses[ ] into a liquid which has a yellowish-green colour, a density of · , and boils at - °. the density and atomic weight of chlorine is · times greater than that of hydrogen, hence the molecule contains cl_{ }[ ]. at ° one volume of water dissolves about - / volume of chlorine, at ° about volumes, at ° again - / volume.[ ] such a solution of chlorine is termed 'chlorine water;' and is employed in a diluted form in medicine and as a laboratory reagent. it is prepared by passing chlorine through a series of woulfe's bottles or into an inverted retort filled with water. under the action of light, chlorine water gives oxygen and hydrochloric acid. at ° a saturated solution of chlorine yields a crystallo-hydrate, cl_{ }, h_{ }o, which easily splits up into chlorine and water when heated, so that if it be sealed up in a tube and heated to °, two layers of liquid are formed--a lower stratum of chlorine containing a small quantity of water, and an upper stratum of water containing a small quantity of chlorine.[ ] [ ] davy and faraday liquefied chlorine in by heating the crystallo-hydrate cl_{ } h_{ }o in a bent tube (as with nh_{ }), surrounded by warm water, while the other end of the tube was immersed in a freezing mixture. meselan condensed chlorine in freshly-burnt charcoal (placed in a glass tube), which when cold absorbs an equal weight of chlorine. the tube was then fused up, the bent end cooled, and the charcoal heated, by which means the chlorine was expelled from the charcoal, and the pressure increased. [ ] judging from ludwig's observations ( ), and from the fact that the coefficient of expansion of gases increases with their molecular weight (chapter ii., note , for hydrogen = · , carbonic anhydride = · , hydrogen bromide = · ), it might be expected that the expansion of chlorine would be greater than that of air or of the gases composing it. v. meyer and langer ( ) having remarked that at , ° the density of chlorine (taking its expansion as equal to that of nitrogen) = , consider that the molecules of chlorine split up and partially give molecules cl, but it might be maintained that the decrease in density observed only depends on the increase of the coefficient of expansion. [ ] investigations on the solubility of chlorine in water (the solutions evolve all their chlorine on boiling and passing air through them) show many different peculiarities. first gay-lussac, and subsequently pelouze, determined that the solubility increases between ° and °- ° (from - / to vols. of chlorine per vols. of water at ° up to to - / at °). in the following note we shall see that this is not due to the breaking-up of the hydrate at about ° to °, but to its formation below °. roscoe observed an increase in the solubility of chlorine in the presence of hydrogen--even in the dark. berthelot determined an increase of solubility with the progress of time. schönbein and others suppose that chlorine acts on water, forming hypochlorous and hypochloric acids, (hclo + hcl). the equilibrium between chlorine and steam as gases and between water, liquid chlorine, ice, and the solid crystallo-hydrate of chlorine is evidently very complex. gibbs, guldberg ( ) and others gave a theory for similar states of equilibrium, which was afterwards developed by roozeboom ( ), but it would be inopportune here to enter into its details. it will be sufficient in the first place to mention that there is now no doubt (according to the theory of heat, and the direct observations of ramsay and young) that the vapour tensions at one and the same temperature are different for the liquid and solid states of substances; secondly, to call attention to the following note; and, thirdly, to state that, in the presence of the crystallo-hydrate, water between o°· and + °· (when the hydrate and a solution may occur simultaneously) dissolves a different amount of chlorine than it does in the absence of the crystallo-hydrate. [ ] according to faraday's data the hydrate of chlorine contains cl_{ }, h_{ }o, but roozeboom ( ) showed that it is poorer in water and = cl_{ }, h_{ }o. at first small, almost colourless, crystals are obtained, but they gradually form (if the temperature be below their critical point °· , above which they do not exist) large yellow crystals, like those of potassium chromate. the specific gravity is · . the hydrate is formed if there be more chlorine in a solution than it is able to dissolve under the dissociation pressure corresponding with a given temperature. _in the presence of the hydrate_ the percentage amount of chlorine at ° = · , at ° = · , and at ° = · . at temperatures below ° the solubility (determined by gay-lussac and pelouze, _see_ note ) is dependent on the formation of the hydrate; whilst at higher temperatures under the ordinary pressure the hydrate cannot be formed, and the solubility of chlorine falls, as it does for all gases (chapter i.). if the crystallo-hydrate is not formed, then below ° the solubility follows the same rule ( ° · p.c. cl, ° · p.c.). according to roozeboom, the chlorine evolved by the hydrate presents the following tensions of dissociation: at ° = mm., at ° = , at ° = , at ° = , at ° = , mm. in this case a portion of the crystallo-hydrate remains solid. at °· the tension of dissociation is equal to the atmospheric pressure. at a higher pressure the crystallo-hydrate may form at temperatures above ° up to °· , when the vapour tension of the hydrate equals the tension of the chlorine. it is evident that the equilibrium which is established is on the one hand a case of a complex heterogeneous system, and on the other hand a case of the solution of solid and gaseous substances in water. the crystallo-hydrate or chlorine water must be kept in the dark, or the access of light be prevented by coloured glass, otherwise oxygen is evolved and hydrochloric acid formed. chlorine explodes _with hydrogen_, if a mixture of equal volumes be exposed to the direct action of the sun's rays[ ] or brought into contact with spongy platinum, or a strongly heated substance, or when subjected to the action of an electric spark. the explosion in this case takes place for exactly the same reasons--_i.e._ the evolution of heat and expansion of the resultant product--as in the case of detonating gas (chapter iii.) diffused light acts in the same way, but slowly, whilst direct sunlight causes an explosion.[ ] the hydrochloric acid gas produced by the reaction of chlorine on hydrogen occupies (at the original temperature and pressure) a volume equal to the sum of the original volumes; that is, a reaction of substitution here takes place: h_{ } + cl_{ } = hcl + hcl. in this reaction twenty-two thousand heat units are evolved for one part by weight [ gram] of hydrogen.[ ] [ ] the chemical action of light on a mixture of chlorine and hydrogen was discovered by gay-lussac and thénard ( ). it has been investigated by many savants, and especially by draper, bunsen, and roscoe. electric or magnesium light, or the light emitted by the combustion of carbon bisulphide in nitric oxide, and actinic light in general, acts in the same manner as sunlight, in proportion to its intensity. at temperatures below - ° light no longer brings about reaction, or at all events does not give an explosion. it was long supposed that chlorine that had been subjected to the action of light was afterwards able to act on hydrogen in the dark, but it was shown that this only takes place with moist chlorine, and depends on the formation of oxides of chlorine. the presence of foreign gases, and even of excess of chlorine or of hydrogen, very much enfeebles the explosion, and therefore the experiment is conducted with a detonating mixture prepared by the action of an electric current on a strong solution (sp. gr. · ) of hydrochloric acid, in which case the water is not decomposed--that is, no oxygen becomes mixed with the chlorine. [ ] the quantity of chlorine and hydrogen which combine is proportional to the intensity of the light--not of all the rays, but only those so-termed chemical (actinic) rays which produce chemical action. hence a mixture of chlorine and hydrogen, when exposed to the action of light in vessels of known capacity and surface, may be employed as an actinometer--that is, as a means for estimating the intensity of the chemical rays, the influence of the heat rays being previously destroyed, which may be done by passing the rays through water. investigations of this kind (photo-chemical) showed that chemical action is chiefly limited to the violet end of the spectrum, and that even the invisible ultra-violet rays produce this action. a colourless gas flame contains no chemically active rays; the flame coloured green by a salt of copper evinces more chemical action than the colourless flame, but the flame brightly coloured yellow by salts of sodium has no more chemical action than that of the colourless flame. as the chemical action of light becomes evident in plants, photography, the bleaching of tissues, and the fading of colours in the sunlight, and as a means for studying the phenomenon is given in the reaction of chlorine on hydrogen, this subject has been the most fully investigated in _photo-chemistry_. the researches of bunsen and roscoe in the fifties and sixties are the most complete in this respect. their actinometer contains hydrogen and chlorine, and is surrounded by a solution of chlorine in water. the hydrochloric acid is absorbed as it forms, and therefore the variation in volume indicates the progress of the combination. as was to be expected, the action of light proved to be proportional to the time of exposure and intensity of the light, so that it was possible to conduct detailed photometrical investigations respecting the time of day and season of the year, various sources of light, its absorption, &c. this subject is considered in detail in special works, and we only stop to mention one circumstance, that a small quantity of a foreign gas decreases the action of light; for example, / of hydrogen by p.c., / of oxygen by p.c., / of chlorine by p.c., &c. according to the researches of klimenko and pekatoros ( ), the photo-chemical alteration of chlorine water is retarded by the presence of traces of metallic chlorides, and this influence varies with different metals. as much heat is evolved in the reaction of chlorine on hydrogen, and as this reaction, being exothermal, may proceed by itself, the action of light is essentially the same as that of heat--that is, it brings the chlorine and hydrogen into the condition necessary for the reaction--it, as we may say, disturbs the original equilibrium; this is the work done by the luminous energy. it seems to me that the action of light on the mixed gases should be understood in this sense, as pringsheim ( ) pointed out. [ ] in the formation of steam (from one part by weight [ gram] of hydrogen) , heat units are evolved. the following are the quantities of heat (thousands of units) evolved in the formation of various other _corresponding_ compounds of oxygen and of chlorine (from thomsen's, and, for na_{ }o, beketoff's results): { nacl, ; cacl_{ }, ; hgcl_{ }, ; agcl, . { na_{ }o, ; cao, ; hgo, ; ag_{ }o, . { ascl_{ }, ; pcl_{ }, ; ccl_{ }, ; hcl, (gas). { as_{ }o_{ }, ; p_{ }o_{ }, ; co_{ }, ; h_{ }o, (gas). with the first four elements the formation of the chlorine compound gives the most heat, and with the four following the formation of the oxygen compound evolves the greater amount of heat. the first four chlorides are true salts formed from hcl and the oxide, whilst the remainder have other properties, as is seen from the fact that they are not formed from hydrochloric acid and the oxide, but give hydrochloric acid with water. these relations show that the affinity of chlorine for hydrogen is very great and analogous to the affinity between hydrogen and oxygen. thus[ ] on the one hand by passing a mixture of steam and chlorine through a red-hot tube, or by exposing water and chlorine to the sunlight, oxygen is disengaged, whilst on the other hand, as we saw above, oxygen in many cases displaces chlorine from its compound with hydrogen, and therefore the reaction h_{ }o + cl_{ } = hcl + o belongs to the number of reversible reactions, and hydrogen will distribute itself between oxygen and chlorine. this determines the relation of cl to substances containing hydrogen and its reactions in the presence of water, to which we shall turn our attention after having pointed out the relation of chlorine to other elements. [ ] this has been already pointed out in chapter iii., note . many _metals_ when brought into contact with chlorine immediately combine with it, and form those metallic chlorides which correspond with hydrogen chloride and with the oxide of the metal taken. this combination may proceed rapidly with the evolution of heat and light; that is, metals are able to burn in chlorine. thus, for example, sodium[ ] burns in chlorine, synthesising common salt. metals in the form of powders burn without the aid of heat, and become highly incandescent in the process; for instance, antimony, which is a metal easily converted into a powder.[ ] even such metals as gold and platinum,[ ] which do not combine directly with oxygen and give very unstable compounds with it, unite directly with chlorine to form metallic chlorides. either chlorine water or aqua regia may be employed for this purpose instead of gaseous chlorine. these dissolve gold and platinum, converting them into metallic chlorides. _aqua regia_ is a mixture of part of nitric acid with to parts of hydrochloric acid. this mixture converts into soluble chlorides not only those metals which are acted on by hydrochloric and nitric acids, but also gold and platinum, which are insoluble in either acid separately. this action of aqua regia depends on the fact that nitric acid in acting on hydrochloric acid evolves chlorine. if the chlorine evolved be transferred to a metal, then a fresh quantity is formed from the remaining acids and also combines with the metal.[ ] thus the aqua regia acts by virtue of the chlorine which it contains and disengages. [ ] sodium remains unaltered in perfectly dry chlorine at the ordinary temperature, and even when slightly warmed; but the combination is exceedingly violent at a red heat. [ ] an instructive experiment on combustion in chlorine may be conducted as follows: leaves of dutch metal (used instead of gold for gilding) are placed in a glass globe, and a gas-conducting tube furnished with a glass cock is placed in the cork closing it, and the air is pumped out of the globe. the gas-conducting tube is then connected with a vessel containing chlorine, and the cock opened; the chlorine rushes in, and the metallic leaves are consumed. [ ] the behaviour of platinum to chlorine at a high temperature ( , °) is very remarkable, because platinous chloride, ptcl_{ }, is then formed, whilst this substance decomposes at a much lower temperature into chlorine and platinum. hence, when chlorine comes into contact with platinum at such high temperatures, it forms fumes of platinous chloride, and they on cooling decompose, with the liberation of platinum, so that the phenomenon appears to be dependent on the volatility of platinum. deville proved the formation of platinous chloride by inserting a cold tube inside a red-hot one (as in the experiment on carbonic oxide). however, v. meyer was able to observe the density of chlorine in a platinum vessel at , °, at which temperature chlorine does not exert this action on platinum, or at least only to an insignificant degree. [ ] when left exposed to the air aqua regia disengages chlorine, and afterwards it no longer acts on gold. gay-lussac, in explaining the action of aqua regia, showed that when heated it evolves, besides chlorine, the vapours of two chloranhydrides--that of nitric acid, no_{ }cl (nitric acid, no_{ }oh, in which ho is replaced by chlorine; _see_ chapter on phosphorus), and that of nitrous acid, nocl--but these do not act on gold. the formation of aqua regia may therefore be expressed by nho_{ } + hcl = no_{ }cl + nocl + h_{ }o + cl_{ }. the formation of the chlorides no_{ }cl and nocl is explained by the fact that the nitric acid is deoxidised, gives the oxides no and no_{ }, and they directly combine with chlorine to form the above anhydrides. the majority of _non-metals_ also react directly on chlorine; hot sulphur and phosphorus burn in it and combine with it at the ordinary temperature. only nitrogen, carbon, and oxygen do not combine directly with it. the chlorine compounds formed by the non-metals--for instance, phosphorus trichloride, pcl_{ }, and sulphurous chloride, &c., do not have the properties of salts, and, as we shall afterwards see more fully, correspond to acid anhydrides and acids; for example, pcl_{ }--to phosphorous acid, p(oh)_{ }: nacl fecl_{ } sncl_{ } pcl_{ } hcl na(ho) fe(ho)_{ } sn(ho)_{ } p(ho)_{ } h(ho) as the above-mentioned relation in composition--_i.e._ substitution of cl by the aqueous residue--exists between many chlorine compounds and their corresponding hydrates, and as furthermore some (acid) hydrates are obtained from chlorine compounds by the action of water, for instance, pcl_{ } + h_{ } = p(ho)_{ } + hcl phosphorus water phosphorous hydrochloric trichloride acid acid whilst other chlorine compounds are formed from hydroxides and hydrochloric acid, with the liberation of water, for example, naho + hcl = nacl + h_{ }o we endeavour to express this intimate connection between the hydrates and chlorine compounds by calling the latter _chloranhydrides_. in general terms, if the hydrate be basic, then, m(ho) + hcl = mcl + h_{ }o hydrate + hydrochloric acid = chloranhydride + water and if the hydrate roh be acid, then, rcl + h_{ }o = r(ho) + hcl chloranhydride + water = hydrate + hydrochloric acid the chloranhydrides mcl corresponding to the bases are evidently metallic chlorides or salts corresponding to hcl. in this manner a distinct equivalency is marked between the compounds of chlorine and the so-called hydroxyl radicle (ho), which is also expressed in the analogy existing between chlorine, cl_{ }, and hydrogen peroxide, (ho)_{ }. as regards the chloranhydrides corresponding to acids and non-metals, they bear but little resemblance to metallic salts. they are nearly all volatile, and have a powerful suffocating smell which irritates the eyes and respiratory organs. they react on water like many anhydrides of the acids, with the evolution of heat and liberation of hydrochloric acid, forming acid hydrates. for this reason they cannot usually be obtained from hydrates--that is, acids--by the action of hydrochloric acid, as in that case water would be formed together with them, and water decomposes them, converting them into hydrates. there are many intermediate chlorine compounds between true saline metallic chlorides like sodium chloride and true acid chloranhydrides, just as there are all kinds of transitions between bases and acids. acid chloranhydrides are not only obtained from chlorine and non-metals, but also from many lower oxides, by the aid of chlorine. thus, for example, co, no, no_{ }, so_{ }, and other lower oxides which are capable of combining with oxygen may also combine with a corresponding quantity of chlorine. thus cocl_{ }, nocl, no_{ }cl, so_{ }cl_{ }, &c., are obtained. they correspond with the hydrates co(oh)_{ }, no(oh), no_{ }(oh), so_{ }(oh)_{ }, &c., and to the anhydrides co_{ }, n_{ }o_{ }, n_{ }o_{ }, so_{ }, &c. here we should notice two aspects of the matter: ( ) chlorine combines with that with which oxygen is able to combine, because it is in many respects equally if not more energetic than oxygen and replaces it in the proportion cl_{ } : o; ( ) that highest limit of possible combination which is proper to a given element or grouping of elements is very easily and often attained by combination with chlorine. if phosphorus gives pcl_{ } and pcl_{ }, it is evident that pcl_{ } is the higher form of combination compared with pcl_{ }. to the form pcl_{ }, or in general px_{ }, correspond ph_{ }i, po(oh)_{ }, pocl_{ }, &c. if chlorine does not always directly give compounds of the highest possible forms for a given element, then generally the lower forms combine with it in order to reach or approach the limit. this is particularly clear in hydrocarbons, where we see the limit c_{_n_}h_{ _n_+ } very distinctly. the unsaturated hydrocarbons are sometimes able to combine with chlorine with the greatest ease and thus reach the limit. thus ethylene, c_{ }h_{ }, combines with cl_{ }, forming the so-called dutch liquid or ethylene chloride, c_{ }h_{ }cl_{ }, because it then reaches the limit c_{_n_}x_{ _n_+ }. in this and all similar cases the combined chlorine is able by reactions of substitution to give a hydroxide and a whole series of other derivatives. thus a hydroxide called glycol, c_{ }h_{ }(oh)_{ }, is obtained from c_{ }h_{ }cl_{ }. chlorine _in the presence of water_ very often acts directly _as an oxidising agent_. a substance a combines with chlorine and gives, for example, acl_{ }, and this in turn a hydroxide, a(oh)_{ }, which on losing water forms ao. here the chlorine has oxidised the substance a. this frequently happens in the simultaneous action of water and chlorine: a + h_{ }o + cl_{ } = hcl + ao. examples of this oxidising action of chlorine may frequently be observed both in practical chemistry and technical processes. thus, for instance, chlorine in the presence of water oxidises sulphur and metallic sulphides. in this case the sulphur is converted into sulphuric acid, and the chlorine into hydrochloric acid, or a metallic chloride if a metallic sulphide be taken. a mixture of carbonic oxide and chlorine passed into water gives carbonic anhydride and hydrochloric acid. sulphurous anhydride is oxidised by chlorine in the presence of water into sulphuric acid, just as it is by the action of nitric acid: so_{ } + h_{ }o + cl_{ } = h_{ }so_{ } + hcl. the oxidising action of chlorine in the presence of water is taken advantage of in practice for the rapid bleaching of tissues and fibres. the colouring matter of the fibres is altered by oxidation and converted into a colourless substance, but the chlorine afterwards acts on the tissue itself. bleaching by means of chlorine therefore requires a certain amount of technical skill in order that the chlorine should not act on the fibres themselves, but that its action should be limited to the colouring matter only. the fibre for making writing paper, for instance, is bleached in this manner. the bleaching property of chlorine was discovered by berthollet, and forms an important acquisition to the arts, because it has in the majority of cases replaced that which before was the universal method of bleaching--namely, exposure to the sun of the fabrics damped with water, which is still employed for linens, &c. time and great trouble, and therefore money also, have been considerably saved by this change.[ ] [ ] ozone and peroxide of hydrogen also bleach tissues. as the action of peroxide of hydrogen is easily controlled by taking a weak solution, and as it has hardly any action upon the tissues themselves, it is replacing chlorine more and more as a bleaching agent. the oxidising property of chlorine is apparent in destroying the majority of organic tissues, and proves fatal to organisms. this action of chlorine is taken advantage of in quarantine stations. but the simple fumigation by chlorine must be carried on with great care in dwelling places, because chlorine disengaged into the atmosphere renders it harmful to the health. the power of chlorine for combination is intimately connected with its capacity for substitution, because, according to the law of substitution, if chlorine combines with hydrogen, then it also replaces hydrogen, and furthermore the combination and substitution are accomplished in the same quantities. therefore _the atom of chlorine_ which combines with the atom of hydrogen is also able _to replace the atom of hydrogen_. we mention this property of chlorine not only because it illustrates the application of the law of substitution in clear and historically important examples, but more especially because reactions of this kind explain those _indirect methods_ of the formation of many substances which we have often mentioned and to which recourse is had in many cases in chemistry. thus chlorine does not act on carbon,[ ] oxygen, or nitrogen, but nevertheless its compounds with these elements may be obtained by the indirect method of the substitution of hydrogen by chlorine. [ ] a certain propensity of carbon to attract chlorine is evidenced in the immense absorption of chlorine by charcoal (note ), but, so far as is at present known (if i am not mistaken, no one has tried the aid of light), no combination takes place between the chlorine and carbon. as chlorine easily combines with hydrogen, and does not act on carbon, it decomposes hydrocarbons (and many of their derivatives) at a high temperature, depriving them of their hydrogen and liberating the carbon, as, for example, is clearly seen when a lighted candle is placed in a vessel containing chlorine. the flame becomes smaller, but continues to burn for a certain time, a large amount of soot is obtained, and hydrochloric acid is formed. in this case the gaseous and incandescent substances of the flame are decomposed by the chlorine, the hydrogen combines with it, and the carbon is disengaged as soot.[ ] this action of chlorine on hydrocarbons, &c., proceeds otherwise at lower temperatures, as we will now consider. [ ] the same reaction takes place under the action of oxygen, with the difference that it burns the carbon, which chlorine is not able to do. if chlorine and oxygen compete together at a high temperature, the oxygen will unite with the carbon, and the chlorine with the hydrogen. a very important epoch in the history of chemistry was inaugurated by the discovery of dumas and laurent that chlorine is able to displace and _replace hydrogen_. this discovery is important from the fact that chlorine proved to be an element which combines with great ease simultaneously with both the hydrogen and the element with which the hydrogen was combined. this clearly proved that there is no opposite polarity between elements forming stable compounds. chlorine does not combine with hydrogen because it has opposite properties, as dumas and laurent stated previously, accounting hydrogen to be electro-positive and chlorine electro-negative; this is not the reason of their combining together, for the same chlorine which combines with hydrogen is also able to replace it without altering many of the properties of the resultant substance. this substitution of hydrogen by chlorine is termed _metalepsis_. the mechanism of this substitution is very constant. if we take a hydrogen compound, preferably a hydrocarbon, and if chlorine acts directly on it, then there is produced on the one hand hydrochloric acid and on the other hand a compound containing chlorine in the place of the hydrogen--so that the chlorine divides itself into two equal portions, one portion is evolved as hydrochloric acid, and the other portion takes the place of the hydrogen thus liberated. _hence this metalepsis is always accompanied by the formation of hydrochloric acid._[ ] the scheme of the process is as follows: c_{n}h_{m}x + cl_{ } = c_{n}h_{m- }clx + hcl hydrocarbon free product of hydrochloric chlorine metalepsis acid or, in general terms-- rh + cl_{ } = rcl + hcl. [ ] this division of chlorine into two portions may at the same time be taken as a clear confirmation of the conception of molecules. according to avogadro-gerhardt's law, the molecule of chlorine (p. ) contains two atoms of this substance; one atom replaces hydrogen, and the other combines with it. the conditions under which metalepsis takes place are also very constant. in the dark chlorine does not usually act on hydrogen compounds, but the action commences under the influence of light. the direct action of the sun's rays is particularly propitious to metalepsis. it is also remarkable that the presence of traces of certain substances,[ ] especially of iodine, aluminium chloride, antimony chloride, &c., promotes the action. a trace of iodine added to the substance subjected to metalepsis often produces the same effect as sunlight.[ ] [ ] such carriers or media for the transference of chlorine and the halogens in general were long known to exist in iodine and antimonious chloride, and have been most fully studied by gustavson and friedel, of the petroffsky academy--the former with respect to aluminium bromide, and the latter with respect to aluminium chloride. gustavson showed that if a trace of metallic aluminium be dissolved in bromine (it floats on bromine, and when combination takes place much heat and light are evolved), the latter becomes endowed with the property of entering into metalepsis, which it is not able to do of its own accord. when pure, for instance, it acts very slowly on benzene, c_{ }h_{ }, but in the presence of a trace of aluminium bromide the reaction proceeds violently and easily, so that each drop of the hydrocarbon gives a mass of hydrobromic acid, and of the product of metalepsis. gustavson showed that the _modus operandi_ of this instructive reaction is based on the property of aluminium bromide to enter into combination with hydrocarbons and their derivatives. the details of this and all researches concerning the metalepsis of the hydrocarbons must be looked for in works on organic chemistry. [ ] as small admixtures of iodine, aluminium bromide, &c., aid the metalepsis of large quantities of a substance, just as nitric oxide aids the reaction of sulphurous anhydride on oxygen and water, so the principle is essentially the same in both cases. effects of this kind (which should also be explained by a chemical reaction proceeding at the surfaces) only differ from true contact phenomena in that the latter are produced by solid bodies and are accomplished at their surfaces, whilst in the former all is in solution. probably the action of iodine is founded on the formation of iodine chloride, which reacts more easily than chlorine. if marsh gas be mixed with chlorine and the mixture ignited, then the hydrogen is entirely taken up from the marsh gas and hydrochloric acid and carbon formed, but there is no metalepsis.[ ] but if a mixture of equal volumes of chlorine and marsh gas be exposed to the action of diffused light, then the greenish yellow mixture gradually becomes colourless, and hydrochloric acid and the first product of metalepsis--namely, methyl chloride--are formed: ch_{ } + cl_{ } = ch_{ }cl + hcl marsh gas chlorine methyl chloride hydrochloric acid [ ] metalepsis belongs to the number of delicate reactions--if it may be so expressed--as compared with the energetic reaction of combustion. many cases of substitution are of this kind. reactions of metalepsis are accompanied by an evolution of heat, but in a less quantity than that evolved in the formation of the resulting quantity of the halogen acids. thus the reaction c_{ }h_{ } + cl_{ } = c_{ }h_{ }cl + hcl, according to the data given by thomsen, evolves about , heat units, whilst the formation of hydrochloric acid evolves , units. the volume of the mixture remains unaltered. the methyl chloride which is formed is a gas. if it be separated from the hydrochloric acid (it is soluble in acetic acid, in which hydrochloric acid is but sparingly soluble) and be again mixed with chlorine, then it may be subjected to a further metalepsical substitution--the second atom of hydrogen may be substituted by chlorine, and a liquid substance, ch_{ }cl_{ }, called methylene chloride, will be obtained. in the same manner the substitution may be carried on still further, and chcl_{ }, or chloroform, and lastly carbon tetrachloride, ccl_{ }, will be produced. of these substances the best known is chloroform, owing to its being formed from many organic substances (by the action of bleaching powder) and to its being used in medicine as an anæsthetic; chloroform boils at ° and carbon tetrachloride at °. they are both colourless odoriferous liquids, heavier than water. the progressive substitution of hydrogen by chlorine is thus evident, and it can be clearly seen that the double decompositions are accomplished between molecular quantities of the substance--that is, between equal volumes in a gaseous state. _carbon tetrachloride_, which is obtained by the metalepsis of marsh gas, cannot be obtained directly from chlorine and carbon, but it may be obtained from certain compounds of carbon--for instance, from carbon bisulphide--if its vapour mixed with chlorine be passed through a red-hot tube. both the sulphur and carbon then combine with the chlorine. it is evident that by ultimate metalepsis a corresponding carbon chloride may be obtained from any hydrocarbon--indeed, the number of chlorides of carbon c_{_n_}cl_{ _m_} already known is very large. as a rule, the fundamental chemical characters of hydrocarbons are not changed by metalepsis; that is, if a neutral substance be taken, then the product of metalepsis is also a neutral substance, or if an acid be taken the product of metalepsis also has acid properties. even the crystalline form not unfrequently remains unaltered after metalepsis. the metalepsis of acetic acid, ch_{ }·cooh, is historically the most important. it contains three of the atoms of the hydrogen of marsh gas, the fourth being replaced by carboxyl, and therefore by the action of chlorine it gives three products of metalepsis (according to the amount of the chlorine and conditions under which the reaction takes place), mono-, di-, and tri-chloracetic acids--ch_{ }cl·cooh, chcl_{ }·cooh, and ccl_{ }·cooh; they are all, like acetic acid, monobasic. the resulting products of metalepsis, in containing an element which so easily acts on metals as chlorine, possess the possibility of attaining a further complexity of molecules of which the original hydrocarbon is often in no way capable. thus on treating with an alkali (or first with a salt and then with an alkali, or with a basic oxide and water, &c.) the chlorine forms a salt with its metal, and the hydroxyl radicle takes the place of the chlorine--for example, ch_{ }·oh is obtained from ch_{ }cl. by the action of metallic derivatives of hydrocarbons--for example, ch_{ }na--the chlorine also gives a salt, and the hydrocarbon radicle--for instance, ch_{ }--takes the place of the chlorine. in this, or in a similar manner, ch_{ }·ch_{ }, or c_{ }h_{ } is obtained from ch_{ }cl and c_{ }h_{ }·ch_{ } from c_{ }h_{ }. the products of metalepsis also often react on ammonia, forming hydrochloric acid (and thence nh_{ }cl) and an amide; that is, the product of metalepsis, with the ammonia radicle nh_{ }, &c. in the place of chlorine. thus by means of metalepsical substitution methods were found in chemistry for an artificial and general means of the formation of complex carbon compounds from more simple compounds which are often totally incapable of direct reaction. besides which, this key opened the doors of that secret edifice of complex organic compounds into which man had up to then feared to enter, supposing the hydrocarbon elements to be united only under the influence of those mystic forces acting in organisms.[ ] [ ] with the predominance of the representation of compound radicles (this doctrine dates from lavoisier and gay-lussac) in organic chemistry, it was a very important moment in its history when it became possible to gain an insight into the structure of the radicles themselves. it was clear, for instance, that ethyl, c_{ }h_{ }, or the radicle of common alcohol, c_{ }h_{ }·oh, passes, without changing, into a number of ethyl derivatives, but its relation to the still simpler hydrocarbons was not clear, and occupied the attention of science in the 'forties' and 'fifties.' having obtained ethyl hydride, c_{ }h_{ }h = c_{ }h_{ }, it was looked on as containing the same ethyl, just as methyl hydride, ch_{ } = ch_{ }h, was considered as existing in methane. having obtained free methyl, ch_{ }ch_{ } = c_{ }h_{ }, from it, it was considered as a derivative of methyl alcohol, ch_{ }oh, and as only isomeric with ethyl hydride. by means of the products of metalepsis it was proved that this is not a case of isomerism but of strict identity, and it therefore became clear that ethyl is methylated methyl, c_{ }h_{ } = ch_{ }ch_{ }. in its time a still greater impetus was given by the study of the reactions of monochloracetic acid, ch_{ }cl·cooh, or co(ch_{ }cl)(oh). it appeared that metalepsical chlorine, like the chlorine of chloranhydrides--for instance, of methyl chloride, ch_{ }cl, or ethyl chloride, c_{ }h_{ }cl--is capable of substitution; for example, glycollic acid, ch_{ }(oh)(co_{ }h), or co(ch_{ }·oh)(oh), was obtained from it, and it appeared that the oh in the group ch_{ }(oh) reacted like that in alcohols, and it became clear, therefore, that it was necessary to examine the radicles themselves by analysing them from the point of view of the bonds connecting the constituent atoms. whence arose the present doctrine of the structure of the carbon compounds. (_see_ chapter viii., note .) it is not only hydrocarbons which are subject to metalepsis. certain other hydrogen compounds, under the action of chlorine, also give corresponding chlorine derivatives in exactly the same manner; for instance, ammonia, caustic potash, caustic lime, and a whole series of _alkaline_ substances.[ ] in fact, just as the hydrogen in marsh gas can be replaced by chlorine and form methyl chloride, so the hydrogen in caustic potash, kho, ammonia, nh_{ }, and calcium hydroxide, cah_{ }o_{ } or ca(oh)_{ }, may be replaced by chlorine and give potassium hypochlorite, kclo, calcium hypochlorite, cacl_{ }o_{ }, and the so-called chloride of nitrogen, ncl_{ }. for not only is the correlation in composition the same as in the substitution in marsh gas, but the whole mechanism of the reaction is the same. here also two atoms of chlorine act: one takes the place of the hydrogen whilst the other is evolved as hydrochloric acid, only in the former case the hydrochloric acid evolved remained free, and in the latter, in presence of alkaline substances, it reacts on them. thus, in the action of chlorine on caustic potash, the hydrochloric acid formed acts on another quantity of caustic potash and gives potassium chloride and water, and therefore not only kho + cl_{ } = hcl + kclo, but also kho + hcl = h_{ }o + kcl, and the result of both simultaneous phases will be kho + cl_{ } = h_{ }o + kcl + kclo. we will here discuss certain special cases. [ ] by including many instances of the action of chlorine under metalepsis we not only explain the indirect formation of ccl_{ }, ncl_{ }, and cl_{ }o by one method, but we also arrive at the fact that the reactions of the metalepsis of the hydrocarbons lose that exclusiveness which was often ascribed to them. also by subjecting the chemical representations to the law of substitution we may foretell metalepsis as a particular case of a general law. the action of chlorine on ammonia may either result in the entire breaking up of the ammonia, with the evolution of gaseous nitrogen, or in a product of metalepsis (as with ch_{ }). with an excess of chlorine and the aid of heat the ammonia is decomposed, with the disengagement of free nitrogen.[ ] this reaction evidently results in the formation of sal-ammoniac, nh_{ } + cl_{ } = nh_{ }cl + n_{ }. but if the ammonium salt be in excess, then the reaction takes the direction of the replacement of the hydrogen in the ammonia by chlorine. the principal result is that nh_{ } + cl_{ } forms ncl_{ } + hcl.[ ] the resulting product of metalepsis, or _chloride of nitrogen_, ncl_{ }, discovered by dulong, is a liquid having the property of decomposing with excessive ease not only when heated, but even under the action of mechanical influences, as by a blow or by contact with certain solid substances. the explosion which accompanies the decomposition is due to the fact that the liquid chloride of nitrogen gives gaseous products, nitrogen and chlorine.[ bis] [ ] this may be taken advantage of in the preparation of nitrogen. if a large excess of chlorine water be poured into a beaker, and a small quantity of a solution of ammonia be added, then, after shaking, nitrogen is evolved. if chlorine act on a dilute solution of ammonia, the volume of nitrogen does not correspond with the volume of the chlorine taken, because ammonium hypochlorite is formed. if ammonia gas be passed through a fine orifice into a vessel containing chlorine, the reaction of the formation of nitrogen is accompanied by the emission of light and the appearance of a cloud of sal-ammoniac. in all these instances an excess of chlorine must be present. [ ] the hydrochloric acid formed combines with ammonia, and therefore the final result is nh_{ } + cl_{ } = ncl_{ } + nh_{ }cl. for this reason, more ammonia must enter into the reaction, but the metalepsical reaction in reality only takes place with an excess of ammonia or its salt. if bubbles of chlorine be passed through a fine tube into a vessel containing ammonia gas, each bubble gives rise to an explosion. if, however, chlorine be passed into a solution of ammonia, the reaction at first brings about the formation of nitrogen, because chloride of nitrogen acts on ammonia like chlorine. but when sal-ammoniac has begun to form, then the reaction directs itself towards the formation of chloride of nitrogen. the first action of chlorine on a solution of sal-ammoniac always causes the formation of chloride of nitrogen, which then reacts on ammonia thus: ncl_{ } + nh_{ } = n_{ } + nh_{ }cl. therefore, so long as the liquid is alkaline from the presence of ammonia the chief product will be nitrogen. the reaction nh_{ }cl + cl_{ } = ncl_{ } + hcl is reversible; with a dilute solution it proceeds in the above-described direction (perhaps owing to the affinity of the hydrochloric acid for the excess of water), but with a strong solution of hydrochloric acid it takes the opposite direction (probably by virtue of the affinity of hydrochloric acid for ammonia). therefore there must exist a very interesting case of equilibrium between ammonia, hydrochloric acid, chlorine, water, and chloride of nitrogen which has not yet been investigated. the reaction ncl_{ } + hcl = nh_{ }cl + cl_{ } enabled deville and hautefeuille to determine the composition of chloride of nitrogen. when slowly decomposed by water, chloride of nitrogen gives, like a chloranhydride, nitrous acid or its anhydride, ncl_{ } + h_{ }o = n_{ }o_{ } + hcl. from these observations it is evident that chloride of nitrogen presents great chemical interest, which is strengthened by its analogy with trichloride of phosphorus. the researches of f. f. selivanoff ( - ) prove that ncl_{ } may be regarded as an ammonium derivative of hypochlorous acid. chloride of nitrogen is decomposed by dilute sulphuric acid in the following manner: ncl_{ } + h_{ }o + h_{ }so_{ } = nh_{ }hso_{ } + hclo. this reaction is reversible and is only complete when some substance, combining with hclo (for instance, succinimide) or decomposing it, is added to the liquid. this is easily understood from the fact that hypochlorous acid itself, hclo, may, according to the view held in this book, be regarded as the product of the metalepsis of water, and consequently bears the same relation to ncl_{ } as h_{ }o does to nh_{ }, or as rho to rnh_{ }, r_{ }nh, and r_{ }n--that is to say, ncl_{ } corresponds as an ammonium derivative to cloh and cl_{ } in exactly the same manner as nr_{ } corresponds to roh and r_{ }. the connection of ncl_{ } and other similar explosive chloro-nitrogen compounds (called chloryl compounds by selivanoff; for example, the c_{ }h_{ }ncl_{ } of wurtz is chloryl ethylamine), such as nrcl_{ } (as nc_{ }h_{ }cl_{ }), and nr_{ }cl (for instance, n(ch_{ }co)hcl, chlorylacetamide, and n(c_{ }h_{ })_{ }cl, chloryl diethylamine) with hclo is evident from the fact that under certain circumstances these compounds give hypochlorous acid, with water, for instance, nr_{ }cl + h_{ }o = nr_{ }h + hclo, and frequently act (like ncl_{ } and hclo, or cl_{ }) in an oxidising and chloridising manner. we may take chloryl succinimide, c_{ }h_{ }(co)_{ }ncl for example. it was obtained by bender by the action of hclo upon succinimide, c_{ }h_{ }(co)_{ }nh, and is decomposed by water with the re-formation of amide and hclo (the reaction is reversible). selivanoff obtained, investigated, and classified many of the compounds nr_{ }cl and nrcl_{ }, where r is a residue of organic acids or alcohols, and showed their distinction from the chloranhydrides, and thus supplemented the history of chloride of nitrogen, which is the simplest of the amides containing chlorine, nr_{ }, where r is fully substituted by chlorine. [ bis] in preparing ncl_{ } every precaution must he used to guard against an explosion, and care should he taken that the ncl_{ } remains under a layer of water. whenever an ammoniacal substance comes into contact with chlorine great care must be taken, because it may be a case of the formation of such products and a very dangerous explosion may ensue. the liquid product of the metalepsis of ammonia may be most safely prepared in the form of small drops by the action of a galvanic current on a slightly warm solution of sal-ammoniac; chlorine is then evolved at the positive pole, and this chlorine acting on the ammonia gradually forms the product of metalepsis which floats on the surface of the liquid (being carried up by the gas), and if a layer of turpentine be poured on to it these small drops, on coming into contact with the turpentine, give feeble explosions, which are in no way dangerous owing to the small mass of the substance formed. drops of chloride of nitrogen may with great caution be collected for investigation in the following manner. the neck of a funnel is immersed in a basin containing mercury, and first a saturated solution of common salt is poured into the funnel, and above it a solution of sal-ammoniac in parts of water. chlorine is then slowly passed through the solutions, when drops of chloride of nitrogen fall into the salt water. chloride of nitrogen is a yellow oily liquid of sp. gr. · , which boils at °, and breaks up into n + cl_{ } at °. the contact of phosphorus, turpentine, india-rubber, &c. causes an explosion, which is sometimes so violent that a small drop will pierce through a thick board. the great ease with which chloride of nitrogen decomposes is dependent upon the fact that it is formed with an absorption of heat, which it evolves when decomposed, to the amount of about , heat units for ncl_{ }, as deville and hautefeuille determined. chlorine, when absorbed by a solution of caustic soda (and also of other alkalis) at the ordinary temperature, causes the replacement of the hydrogen in the caustic soda by the chlorine, with the formation of sodium chloride by the hydrochloric acid, so that the reaction may be represented in two phases, as described above. in this manner, sodium hypochlorite, naclo, and sodium chloride are simultaneously formed: naho + cl_{ } = nacl + naclo + h_{ }o. the resultant solution contains naclo and is termed 'eau de javelle.' an exactly similar reaction takes place when chlorine is passed over dry hydrate of lime at the ordinary temperature: ca(ho)_{ } + cl_{ } = cacl_{ }o_{ } + cacl_{ } + h_{ }o. a mixture of the product of metalepsis with calcium chloride is obtained. this mixture is employed in practice on a large scale, and is termed 'bleaching powder,' owing to its acting, especially when mixed with acids, as a bleaching agent on tissues, so that it resembles chlorine in this respect. it is however preferable to chlorine, because the destructive action of the chlorine can be moderated in this case, and because it is much more convenient to deal with a solid substance than with gaseous chlorine. bleaching powder is also called _chloride of lime_, because it is obtained from chlorine and hydrate of lime, and contains[ ] both these substances. it may be prepared in the laboratory by passing a current of chlorine through a cold mixture of water and lime (milk of lime). the mixture must be kept cold, as otherwise ca(clo)_{ } passes into cacl_{ } + ca(clo_{ })_{ }. in the manufacture of bleaching powder in large quantities at chemical works, the purest possible slaked lime is taken and laid in a thin layer in large flat chambers, m (whose walls are made of yorkshire flags or tarred wood, on which chlorine has no action), and into which chlorine gas is introduced by lead tubes. the distribution of the plant is shown in the annexed drawing (fig. ). [illustration: fig. .--apparatus for the manufacture of bleaching powder (on a small scale) by the action of chlorine, which is generated in the vessels c, on lime, which is charged into m.] [ ] quicklime, cao (or calcium carbonate, caco_{ }), does not absorb chlorine when cold, but at a red heat, in a current of chlorine, it forms calcium chloride, with the evolution of oxygen. (this was confirmed in by wells, at oxford.) this reaction corresponds with the decomposing action of chlorine on methane, ammonia, and water. slaked lime (calcium hydroxide, cah_{ }o_{ }) also, when dry, does not absorb chlorine at °. the absorption proceeds at the ordinary temperature (below °). the dry mass thus obtained contains not less than three equivalents of calcium hydroxide to four equivalents of chlorine, so that its composition is [ca(ho)_{ }]_{ }cl_{ }. in all probability a simple absorption of chlorine by the lime at first takes place in this case, as may be seen from the fact that even carbonic anhydride, when acting on the dry mass obtained as above, disengages all the chlorine from it, leaving only calcium carbonate. but if the bleaching powder be obtained by a wet method, or if it be dissolved in water (in which it is very soluble), and carbonic anhydride be passed into it, then chlorine is no longer disengaged, but chlorine oxide, cl_{ }o, and only half of the chlorine is converted into this oxide, while the other half remains in the liquid as calcium chloride. from this it may be inferred that calcium chloride is formed by the action of water on bleaching powder, and this is proved to be the case by the fact that small quantities of water extract a considerable amount of calcium chloride from bleaching powder. if a large quantity of water act on bleaching powder an excess of calcium hydroxide remains, a portion of which is not subjected to change. the action of the water may be expressed by the following formulæ: from the dry mass ca_{ }(ho)_{ }cl_{ } there is formed lime, ca(ho)_{ }, calcium chloride, cacl_{ }, and a saline substance, ca(clo)_{ }. ca_{ }h_{ }o_{ }cl_{ } = cah_{ }o_{ } + cacl_{ }o_{ } + cacl_{ } + h_{ }o. the resulting substances are not equally soluble; water first extracts the calcium chloride, which is the most soluble, then the compound ca(clo)_{ } and ultimately calcium hydroxide is left. a mixture of calcium chloride and hypochlorite passes into solution. on evaporation there remains ca_{ }o_{ }cl_{ } h_{ }o. the dry bleaching powder does not absorb more chlorine, but the solution is able to absorb it in considerable quantity. if the liquid be boiled, a considerable amount of chlorine monoxide is evolved. after this calcium chloride alone remains in solution, and the decomposition may be expressed as follows: cacl_{ } + cacl_{ }o_{ } + cl_{ } = cacl_{ } + cl_{ }o. chlorine monoxide may be prepared in this manner. it is sometimes said that bleaching powder contains a substance, ca(oh)_{ }cl_{ }, that is calcium peroxide, cao_{ }, in which one atom of oxygen is replaced by (oh)_{ }, and the other by cl_{ }; but, judging from what has been said above, this can only be the case in the dry state, and not in solutions. on being kept for some time, bleaching powder sometimes decomposes, with the evolution of oxygen (because cacl_{ }o_{ } = cacl_{ } + o_{ }, _see_ p. ); the same takes place when it is heated. the products of the metalepsis of alkaline hydrates, naclo and ca(clo)_{ }, which are present in solutions of 'javelle salt' and bleaching powder (they are not obtained free from metallic chlorides), must be counted as salts, because their metals are capable of substitution. but the hydrate hclo corresponding with these salts, or _hypochlorous acid_, is not obtained in a free or pure state, for two reasons: in the first place, because this hydrate, as a very feeble acid, splits up (like h_{ }co_{ } or hno_{ }) into water and the anhydride, or _chlorine monoxide_, cl_{ }o = hclo-h_{ }o; and, in the second place, because, in a number of instances, it evolves oxygen with great facility, forming hydrochloric acid: hclo = hcl + o. both hypochlorous acid and chlorine monoxide may be regarded as products of the metalepsis of water, because hoh corresponds with cloh and clocl. hence in many instances bleaching salts (a mixture of hypochlorites and chlorides) break up, with the evolution of ( ) _chlorine_, under the action of an excess of a powerful acid capable of evolving hydrochloric acid from sodium or calcium chlorides, and this takes place most simply under the action of hydrochloric acid itself, because (p. ) nacl + naclo + hcl = nacl + hcl + cl_{ } + h_{ }o; ( ) _oxygen_, as we saw in chapter iii.--the bleaching properties and, in general, _oxidising action_ of bleaching salts is based on this evolution of oxygen (or chlorine); oxygen is also disengaged on heating the dry salts--for instance, nacl + naclo = nacl + o; ( ) and, lastly, _chlorine monoxide_, which contains both chlorine and oxygen. thus, if a little sulphuric, nitric, or similar acid (not enough to liberate hydrochloric acid from the cacl_{ }) be added to a solution of a bleaching salt (which has an alkaline reaction, owing either to an excess of alkali or to the feeble acid properties of hclo), then the hypochlorous acid set free gives water and chlorine monoxide. if carbonic anhydride (or boracic or a similar very feeble acid) act on the solution of a bleaching salt, then hydrochloric acid is not evolved from the sodium or calcium chlorides, but the hypochlorous acid is displaced and gives chlorine monoxide,[ ] because hypochlorous acid is one of the most feeble acids. another method for the preparation of chlorine monoxide is based on these feeble acid properties of hypochlorous acid. zinc oxide and mercury oxide, under the action of chlorine in the presence of water, do not give a salt of hypochlorous acid, but form a chloride and hypochlorous acid, which fact shows the incapacity of this acid to combine with the bases mentioned. therefore, if such oxides as those of zinc or mercury be shaken up in water, and chlorine be passed through the turbid liquid,[ ] a reaction occurs which may be expressed in the following manner: hgo + cl_{ } = hg_{ }ocl_{ } + cl_{ }o. in this case, a compound of mercury oxide with mercury chloride, or the so-called mercury oxychloride, is obtained: hg_{ }ocl_{ } = hgo + hgcl_{ }. this is insoluble in water, and is not affected by hypochlorous anhydride, so that the solution will contain hypochlorous acid only, but the greater part of it splits up into the anhydride and water.[ bis] [ ] for this reason it is necessary that in the preparation of bleaching powder the chlorine should be free from hydrochloric acid, and even the lime from calcium chloride. an excess of chlorine, in acting on a solution of bleaching powder, may also give chlorine monoxide, because calcium carbonate also gives chlorine monoxide under the action of chlorine. this reaction may be brought about by treating freshly precipitated calcium carbonate with a stream of chlorine in water: cl_{ } + caco_{ } = co_{ } + cacl_{ } + cl_{ }o. from this we may conclude that, although carbonic anhydride displaces hypochlorous anhydride, it may be itself displaced by an excess of the latter. [ ] dry red mercury oxide acts on chlorine, forming dry hypochlorous anhydride (chlorine monoxide) (balard); when mixed with water, red mercury oxide acts feebly on chlorine, and when freshly precipitated it evolves oxygen and chlorine. an oxide of mercury which easily and abundantly evolves chlorine monoxide under the action of chlorine in the presence of water may be prepared as follows: the oxide of mercury, precipitated from a mercuric salt by an alkali, is heated to ° and cooled (pelouze). if a salt, mclo, be added to a solution of mercuric salt, hgx_{ }, mercuric oxide is liberated, because the hypochlorite is decomposed. [ bis] a solution of hypochlorous anhydride is also obtained by the action of chlorine on many salts; for example, in the action of chlorine on a solution of sodium sulphate the following reaction takes place: na_{ }so_{ } + h_{ }o + cl_{ } = nacl + hclo + nahso_{ }. here the hypochlorous acid is formed, together with hcl, at the expense of chlorine and water, for cl_{ } + h_{ }o = hcl + hclo. if the crystallo-hydrate of chlorine be mixed with mercury oxide, the hydrochloric acid formed in the reaction gives mercury chloride, and hypochlorous acid remains in solution. a dilute solution of hypochlorous acid or chlorine monoxide may be concentrated by distillation, and if a substance which takes up water (without destroying the acid)--for instance, calcium nitrate--be added to the stronger solution, then the anhydride of hypochlorous acid--_i.e._ chlorine monoxide--is disengaged. chlorine monoxide, which corresponds to bleaching and hypochlorous salts, containing as it does the two elements oxygen and chlorine, forms a characteristic example of a compound of elements which, in the majority of cases, act chemically in an analogous manner. chlorine monoxide, as prepared from an aqueous solution by the abstraction of water or by the action of dry chlorine on cold mercury oxide, is, at the ordinary temperature, a gas or vapour which condenses into a red liquid boiling at + ° and giving a vapour whose density ( referred to hydrogen) shows that vols. of chlorine and vol. of oxygen give vols. of chlorine monoxide. in an anhydrous form the gas or liquid easily explodes, splitting up into chlorine and oxygen. this explosiveness is determined by the fact that heat is _evolved_ in the decomposition to the amount of about , heat units for cl_{ }o.[ ] the explosion may even take place spontaneously, and also in the presence of many oxidisable substances (for instance, sulphur, organic compounds, &c.), but the solution, although unstable and showing a strong oxidising tendency, does not explode.[ ] it is evident that the presence of hypochlorous acid, hclo, may be assumed in an aqueous solution of cl_{ }o, since cl_{ }o + h_{ }o = hclo. [ ] all explosive substances are of this kind--ozone, hydrogen peroxide, chloride of nitrogen, nitro-compounds, &c. hence they cannot be formed directly from the elements or their simplest compounds, but, on the contrary, decompose into them. in a liquid state chlorine monoxide explodes even on contact with powdery substances, or when rapidly agitated--for instance, if a file be rasped over the vessel in which it is contained. [ ] a solution of chlorine monoxide, or hypochlorous acid, does not explode, owing to the presence of the mass of water. in dissolving, chlorine monoxide evolves about , heat units, so that its store of heat becomes less. the capacity of hypochlorous acid (studied by carius and others) for entering into combination with the unsaturated hydrocarbons is very often taken advantage of in organic chemistry. thus its solution absorbs ethylene, forming the chlorhydrin c_{ }h_{ }cloh. the oxidising action of hypochlorous acid and its salts is not only applied to bleaching but also to many reactions of oxidation. thus it converts the lower oxides of manganese into the peroxide. hypochlorous acid, its salts, and chlorine monoxide serve as a transition between hydrochloric acid, chlorides, and chlorine, and a whole series of compounds containing the same elements combined with a still greater quantity of oxygen. the higher oxides of chlorine, as their origin indicates, are closely connected with hypochlorous acid and its salts: cl_{ }, nacl, hcl, hydrochloric acid. cl_{ }o, naclo, hclo, hypochlorous acid. cl_{ }o_{ }, naclo_{ }, hclo_{ }, chlorous acid.[ ] cl_{ }o_{ }, naclo_{ }, hclo_{ }, chloric acid. cl_{ }o_{ }, naclo_{ }, hclo_{ }, perchloric acid. when heated, solutions of hypochlorites undergo a remarkable change. themselves so unstable, they, without any further addition, yield two fresh salts which are both much more stable; one contains more oxygen than mclo, the other contains none at all. mclo = mclo_{ } + mcl hypochlorite chlorate chloride [ ] _chlorous acid_, hclo_{ } (according to the data given by millon, brandau, and others) in many respects resembles hypochlorous acid, hclo, whilst they both differ from chloric and perchloric acids in their degree of stability, which is expressed, for instance, in their bleaching properties; the two higher acids do not bleach, but both the lower ones do so (oxidise at the ordinary temperature). on the other hand, chlorous acid is analogous to nitrous acid, hno_{ }. the anhydride of chlorous acid, cl_{ }o_{ }, is not known in a pure state, but it probably occurs in admixture with chlorine dioxide, clo_{ }, which is obtained by the action of nitric and sulphuric acids on a mixture of potassium chlorate with such reducing substances as nitric oxide, arsenious oxide, sugar, &c. all that is at present known is that pure chlorine dioxide clo_{ } (_see_ notes - ) is gradually converted into a mixture of hypochlorous and chlorous acids under the action of water (and alkalis); that is, it acts like nitric peroxide, no_{ } (giving hno_{ } and hno_{ }), or as a mixed anhydride, clo_{ } + h_{ }o = hclo_{ } + hclo_{ }. the silver salt, agclo_{ }, is sparingly soluble in water. the investigations of garzarolli-thurnlackh and others seem to show that the anhydride cl_{ }o_{ } does not exist in a free state. part of the salt--namely, two-thirds of it--parts with its oxygen in order to oxidise the remaining third.[ ] from an intermediate substance, rx, two extremes, r and rx_{ } are formed, just as nitrous anhydride splits up into nitric oxide and nitric anhydride (or nitric acid). the resulting salt, mclo_{ }, corresponds with _chloric acid_ and potassium chlorate, kclo_{ }. it is evident that a similar salt may be obtained directly by the action of chlorine on an alkali if its solution be heated, because rclo will be first formed, and then rclo_{ }; for example, kho + cl_{ } = kclo_{ } + kcl + h_{ }o. chlorates are so prepared; for instance, _potassium chlorate_, which is easily separated from potassium chloride, being sparingly soluble in cold water.[ ] [ ] hydrochloric acid, which is an example of compounds of this kind, is a saturated substance which does not combine directly with oxygen, but in which, nevertheless, a considerable quantity of oxygen may be inserted between the elements forming it. the same may be observed in a number of other cases. thus oxygen may be added or inserted between the elements, sometimes in considerable quantities, in the saturated hydrocarbons; for instance, in c_{ }h_{ }, three atoms of oxygen produce an alcohol, glycerin or glycerol, c_{ }h_{ }(oh)_{ }. we shall meet with similar examples hereafter. this is generally explained by regarding oxygen as a bivalent element--that is, as capable of combining with two different elements, such as chlorine, hydrogen, &c. on the basis of this view, it may be inserted between each pair of combined elements; the oxygen will then be combined with one of the elements by one of its affinities and with the other element by its other affinity. this view does not, however, express the entire truth of the matter, even when applied to the compounds of chlorine. hypochlorous acid, hocl--that is, hydrochloric acid in which one atom of oxygen is inserted--is, as we have already seen, a substance of small stability; it might therefore be expected that on the addition of a fresh quantity of oxygen, a still less stable substance would be obtained, because, according to the above view, the chlorine and hydrogen, which form such a stable compound together, are then still further removed from each other. but it appears that chloric and perchloric acid, hclo_{ } and hclo_{ }, are much more stable substances. furthermore, the addition of oxygen has also its limit, it can only be added to a certain extent. if the above representation were true and not merely hypothetical, there would be no limit to the combination of oxygen, and the more it entered into one continuous chain the more unstable would be the resultant compound. but not more than four atoms of oxygen can be added to hydrogen sulphide, nor to hydrochloric acid, nor to hydrogen phosphide. this peculiarity must lie in the properties of oxygen itself; four atoms of oxygen seem to have the power of forming a kind of radicle which retains two or several atoms of various other substances--for example, chlorine and hydrogen, hydrogen and sulphur, sodium and manganese, phosphorus and metals, &c., forming comparatively stable compounds, naclo_{ }, na_{ }so_{ }, namno_{ }, na_{ }po_{ }, &c. _see_ chapter x. note and chapter xv. [ ] if chlorine be passed through a _cold_ solution of potash, a bleaching compound, potassium chloride and hypochlorite, kcl + kclo, is formed, but if it be passed through a _hot_ solution potassium chlorate is formed. as this is sparingly soluble in water, it chokes the gas-conducting tube, which should therefore be widened out at the end. potassium chlorate is usually obtained on a large scale from calcium chlorate, which is prepared by passing chlorine (as long as it is absorbed) into water containing lime, the mixture being kept warm. a mixture of calcium chlorate and chloride is thus formed in the solution. potassium chloride is then added to the warm solution, and on cooling a precipitate of potassium chlorate is formed as a substance which is sparingly soluble in cold water, especially in the presence of other salts. the double decomposition taking place is ca(clo_{ })_{ } + kcl = cacl_{ } + kclo_{ }. on a small scale in the laboratory potassium chlorate is best prepared from a strong solution of bleaching powder by passing chlorine through it and then adding potassium chloride. kclo_{ } is always formed by the action of an electric current on a solution of kcl, especially at ° (häussermann and naschold, ), so that this method is now used on a large scale. potassium chlorate crystallises easily in large colourless tabular crystals. its solubility in parts of water at ° = parts, ° = parts, ° = parts, ° = parts, ° = parts. for comparison we will cite the following figures showing the solubility of potassium chloride and perchlorate in parts of water: potassium chloride at o° = parts, ° = parts, ° = parts, ° = parts; potassium perchlorate at ° about part, ° about - / part, ° about parts. when heated, potassium chlorate melts (the melting point has been given as from °- °; according to the latest determination by carnelley, °) and decomposes with the evolution of oxygen, potassium perchlorate being at first formed, as will afterwards be described (_see_ note ). a mixture of potassium chlorate and nitric and hydrochloric acids effects oxidation and chlorination in solutions. it deflagrates when thrown upon incandescent carbon, and when mixed with sulphur ( / by weight) it ignites it on being struck, in which case an explosion takes place. the same occurs with many metallic sulphides and organic substances. such mixtures are also ignited by a drop of sulphuric acid. all these effects are due to the large amount of oxygen contained in potassium chlorate, and to the ease with which it is evolved. a mixture of two parts of potassium chlorate, one part of sugar, and one part of yellow prussiate of potash acts like gunpowder, but burns too rapidly, and therefore bursts the guns, and it also has a very strong oxidising action on their metal. the sodium salt, naclo_{ }, is much more soluble than the potassium salt, and it is therefore more difficult to free it from sodium chloride, &c. the barium salt is also more soluble than the potassium salt; o° = parts, ° = parts, ° = parts of salt per of water. if dilute sulphuric acid be added to a solution of potassium chlorate, _chloric acid_ is liberated, but it cannot be separated by distillation, as it is decomposed in the process. to obtain the free acid, sulphuric acid must be added to a solution of barium chlorate.[ ] the sulphuric acid gives a precipitate of barium sulphate, and free chloric acid remains in solution. the solution may be evaporated under the receiver of an air-pump. this solution is colourless, has no smell, and acts as a powerful acid (it neutralises sodium hydroxide, decomposes sodium carbonate, gives hydrogen with zinc, &c.); when heated above °, however, it decomposes, forming chlorine, oxygen, and perchloric acid: hclo_{ } = hclo_{ } + h_{ }o + cl_{ } + o_{ }. in a concentrated condition the acid acts as an exceedingly energetic oxidiser, so that organic substances brought into contact with it burst into flame. iodine, sulphurous acid, and similar oxidisable substances form higher oxidation products and reduce the chloric acid to hydrochloric acid. hydrochloric acid gas gives chlorine with chloric acid (and consequently with kclo_{ } also) acting in the same manner as it acts on the lower acids: hclo_{ } + hcl = h_{ }o + cl_{ }. [ ] barium chlorate, ba(clo_{ })_{ },h_{ }o, is prepared in the following way: impure chloric acid is first prepared and saturated with baryta, and the barium salt purified by crystallisation. the impure free chloric acid is obtained by converting the potassium in potassium chlorate into an insoluble salt. this is done by adding tartaric or hydrofluosilicic acid to a solution of potassium chlorate, because potassium tartrate and potassium silicofluoride are very sparingly soluble in water. chloric acid is easily soluble in water. by cautiously acting on potassium chlorate with sulphuric acid, the _dioxide_ (_chloric peroxide_), clo_{ },[ ] is obtained (davy, millon). this gas is easily liquefied in a freezing mixture, and boils at + °. the vapour density (about if h = ) shows that the molecule of this substance is clo_{ }.[ ] in a gaseous or liquid state it very easily explodes (for instance, at °, or by contact with organic compounds or finely divided substances, &c.), forming cl and o_{ }, and in many instances[ ] therefore it acts as an oxidising agent, although (like nitric peroxide) it may itself be further oxidised.[ ] in dissolving in water or alkalis chloric peroxide gives chlorous and hypochlorous acids-- clo_{ } + kho = kclo_{ } + kclo_{ } + h_{ }o--and therefore, like nitric peroxide, the dioxide may be regarded as an intermediate oxide between the (unknown) anhydrides of chlorous and chloric acids: clo_{ } = cl_{ }o_{ } + cl_{ }o_{ }.[ ] [ ] to prepare clo_{ } grams of sulphuric acid are cooled in a mixture of ice and salt, and grams of powdered potassium chlorate are gradually added to the acid, which is then carefully distilled at ° to °, the vapour given off being condensed in a freezing mixture. potassium perchlorate is then formed: kclo_{ } + h_{ }so_{ } = khso_{ } + kclo_{ } + clo_{ } + h_{ }o. the reaction may result in an explosion. calvert and davies obtained chloric peroxide without the least danger by heating a mixture of oxalic acid and potassium chlorate in a test tube in a water-bath. in this case kclo_{ } + c_{ }h_{ }o_{ }, h_{ }o = c_{ }hko_{ } + co_{ } + clo_{ } + h_{ }o. the reaction is still further facilitated by the addition of a small quantity of sulphuric acid. if a solution of hcl acts upon kclo_{ } at the ordinary temperature, a mixture of cl_{ } and clo_{ } is formed, but if the temperature be raised to ° the greater part of the clo_{ } decomposes, and when passed through a hot solution of mncl_{ } it oxidises it. gooch and kreider proposed ( ) to employ this method for preparing small quantities of chlorine in the laboratory. [ ] by analogy with nitric peroxide it might be expected that at low temperatures a doubling of the molecule into cl_{ }o_{ } would take place, as the reactions of clo_{ } point to its being a mixed anhydride of hclo_{ } and hclo_{ }. [ ] owing to the formation of this chlorine dioxide, a mixture of potassium chlorate and sugar is ignited by a drop of sulphuric acid. this property was formerly made use of for making matches, and is now sometimes employed for setting fire to explosive charges by means of an arrangement in which the acid is caused to fall on the mixture at the moment required. an interesting experiment on the combustion of phosphorus under water may be conducted with chlorine dioxide. pieces of phosphorus and of potassium chlorate are placed under water, and sulphuric acid is poured on to them (through a long funnel); the phosphorus then burns at the expense of the chlorine dioxide. [ ] potassium permanganate oxidises chlorine dioxide into chloric acid (fürst). [ ] the euchlorine obtained by davy by gently heating potassium chlorate with hydrochloric acid is (pebal) a mixture of chlorine dioxide and free chlorine. the liquid and gaseous chlorine oxide (note ), which millon considered to be cl_{ }o_{ }, probably contains a mixture of clo_{ } (vapour density ), cl_{ }o_{ } (whose vapour density should be ), and chlorine (vapour density · ), since its vapour density was determined to be about . as the salts of chloric acid, hclo_{ }, are produced by the splitting up of the salts of hypochlorous acid, so in the same way the salts of perchloric acid, hclo_{ }, are produced from the salts of chloric acid, hclo_{ }. but this is the highest form of the oxidation of hcl. _perchloric acid_, hclo_{ }, is the most stable of all the acids of chlorine. when fused potassium chlorate begins to swell up and solidify, after having parted with one-third of its oxygen, potassium chloride and potassium perchlorate have been formed according to the equation kclo_{ } = kclo_{ } + kcl + o_{ }. the formation of this salt is easily observed in the preparation of oxygen from potassium chlorate, owing to the fact that the potassium perchlorate fuses with greater difficulty than the chlorate, and therefore appears in the molten salt as solid grains (_see_ chapter iii. note ). under the action of certain acids--for instance, sulphuric and nitric--potassium chlorate also gives potassium perchlorate. this latter may be easily purified, because it is but sparingly soluble in water, although all the other salts of perchloric acid are very soluble and even deliquesce in the air. the perchlorates, although they contain more oxygen than the chlorates, are decomposed with greater difficulty, and even when thrown on ignited charcoal give a much feebler deflagration than the chlorates. sulphuric acid (at a temperature not below °) evolves volatile and to a certain extent stable perchloric acid from potassium perchlorate. neither sulphuric nor any other acid will further decompose perchloric acid as it decomposes chloric acid. of all the acids of chlorine, perchloric acid alone can be distilled.[ ] the pure hydrate hclo_{ }[ ] is a colourless and exceedingly caustic substance which fumes in the air and has a specific gravity · at ° (sometimes, after being kept for some time, it decomposes with a violent explosion). it explodes violently when brought into contact with charcoal, paper, wood, and other organic substances. if a small quantity of water be added to this hydrate, and it be cooled, a crystallo-hydrate, clho_{ },h_{ }o, separates out. this is much more stable, but the liquid hydrate hclo_{ }, h_{ }o is still more so. the acid dissolves in water in all proportions, and its solutions are distinguished for their stability.[ ] when ignited both the acid and its salts are decomposed, with the evolution of oxygen.[ ] [ ] if a solution of chloric acid, hclo_{ }, be first concentrated over sulphuric acid under the receiver of an air-pump and afterwards distilled, chlorine and oxygen are evolved and perchloric acid is formed: hclo_{ } = hclo_{ } + cl_{ } + o + h_{ }o. roscoe accordingly decomposed directly a solution of potassium chlorate by hydrofluosilicic acid, decanted it from the precipitate of potassium silicofluoride, k_{ }sif_{ }, concentrated the solution of chloric acid, and then distilled it, perchloric acid being then obtained (_see_ following footnote). that chloric acid is capable of passing into perchloric acid is also seen from the fact that potassium permanganate is decolorised, although slowly, by the action of a solution of chloric acid. on decomposing a solution of potassium chlorate by the action of an electric current, potassium perchlorate is obtained at the positive electrode (where the oxygen is evolved). perchloric acid is also formed by the action of an electric current on solutions of chlorine and chlorine monoxide. perchloric acid was obtained by count stadion and afterwards by serullas, and was studied by roscoe and others. [ ] perchloric acid, which is obtained in a free state by the action of sulphuric acid on its salts, may be separated from a solution very easily by distillation, being volatile, although it is partially decomposed by distillation. the solution obtained after distillation may be concentrated by evaporation in open vessels. in the distillation the solution reaches a temperature of °, and then a very constant liquid hydrate of the composition hclo_{ }, h_{ }o is obtained in the distillate. if this hydrate be mixed with sulphuric acid, it begins to decompose at °, but nevertheless a portion of the acid passes over into the receiver without decomposing, forming a crystalline hydrate hclo_{ },h_{ }o which melts at °. on carefully heating this hydrate it breaks up into perchloric acid, which distills over below °, and into the liquid hydrate hclo_{ }, h_{ }o. the acid hclo_{ } may also be obtained by adding one-fourth part of strong sulphuric acid to potassium chlorate, carefully distilling and subjecting the crystals of the hydrate hclo_{ },h_{ }o obtained in the distillate to a fresh distillation. perchloric acid, hclo_{ }, itself does not distil, and is decomposed on distillation until the more stable hydrate hclo_{ }, h_{ }o is formed; this decomposes into hclo_{ } and hclo_{ }, h_{ }o, which latter hydrate distils without decomposition. this forms an excellent example of the influence of water on stability, and of the property of chlorine of giving compounds of the type clx_{ }, of which all the above hydrates, clo_{ }(oh), clo_{ }(oh)_{ }, and clo(oh)_{ }, are members. probably further research will lead to the discovery of a hydrate cl(oh)_{ }. [ ] according to roscoe the specific gravity of perchloric acid = · and of the hydrate hclo_{ },h_{ }o in a liquid state ( °) · ; hence a considerable contraction takes place in the combination of hclo_{ } with h_{ }o. [ ] the decomposition of salts analogous to potassium chlorate has been more fully studied in recent years by potilitzin and p. frankland. professor potilitzin, by decomposing, for example, lithium chlorate liclo_{ }, found (from the quantity of lithium chloride and oxygen) that at first the decomposition of the fused salt ( °) takes place according to the equation, liclo_{ } = licl + liclo_{ } + o, and that towards the end the remaining salt is decomposed thus: liclo_{ } = licl + liclo_{ } + o. the phenomena observed by potilitzin obliged him to admit that lithium perchlorate is capable of decomposing simultaneously with lithium chlorate, with the formation of the latter salt and oxygen; and this was confirmed by direct experiment, which showed that lithium chlorate is always formed in the decomposition of the perchlorate. potilitzin drew particular attention to the fact that the decomposition of potassium chlorate and of salts analogous to it, although exothermal (chapter iii., note ), not only does not proceed spontaneously, but requires time and a rise of temperature in order to attain completion, which again shows that chemical equilibria are not determined by the heat effects of reactions only. p. frankland and j. dingwall ( ) showed that at ° (in the vapour of sulphur) a mixture of potassium chlorate and powdered glass is decomposed almost in accordance with the equation kclo_{ } = kclo_{ } + kcl + o_{ }, whilst the salt by itself evolves about half as much oxygen, in accordance with the equation, kclo_{ } = kclo_{ } + kcl + o_{ }. the decomposition of potassium perchlorate in admixture with manganese peroxide proceeds to completion, kclo_{ } = kcl + o_{ }. but in decomposing by itself the salt at first gives potassium chlorate, approximately according to the equation kclo_{ } = kclo_{ } + kcl + o_{ }. thus there is now no doubt that when potassium chlorate is heated, the perchlorate is formed, and that this salt, in decomposing with evolution of oxygen, again gives the former salt. in the decomposition of barium hypochlorite, per cent. of the whole amount passes into chlorate, in the decomposition of strontium hypochlorite (potilitzin, ) · per cent., and of calcium hypochlorite about · per cent. besides which potilitzin showed that the decomposition of the hypochlorites and also of the chlorates is always accompanied by the formation of a certain quantity of the oxides and by the evolution of chlorine, the chlorine being displaced by the oxygen disengaged. spring and prost ( ) represent the evolution of oxygen from kclo_{ } as due to the salt first splitting up into base and anhydride, thus ( ) mclo_{ } = m_{ }o + cl_{ }o_{ }; ( ) cl_{ }o_{ } = cl_{ } + o_{ }; and ( ) m_{ }o + cl = mcl + o. i may further remark that the decomposition of potassium chlorate as a reaction evolving heat easily lends itself for this very reason to the contact action of manganese peroxide and other similar admixtures; for such very feeble influences as those of contact may become evident either in those cases (for instance, detonating gas, hydrogen peroxide, &c.), when the reaction is accompanied by the evolution of heat, or when (for instance, h_{ } + i_{ }, &c.) little heat is absorbed or evolved. in these cases it is evident that the existing equilibrium is not very stable, and that a small alteration in the conditions at the surfaces of contact may suffice to upset it. in order to conceive the _modus operandi_ of contact phenomena, it is enough to imagine, for instance, that at the surface of contact the movement of the atoms in the molecules changes from a circular to an elliptical path. momentary and transitory compounds may he formed, but their formation cannot affect the explanation of the phenomena. on comparing chlorine as an element not only with nitrogen and carbon but with all the other non-metallic elements (chlorine has so little analogy with the metals that a comparison with them would be superfluous), we find in it the following fundamental properties of _the halogens_ or salt-producers. with metals chlorine gives salts (such as sodium chloride, &c.); with hydrogen a very energetic and monobasic acid hcl, and the same quantity of chlorine is able by metalepsis to replace the hydrogen; with oxygen it forms unstable oxides of an acid character. these properties of chlorine are possessed by three other elements, bromine, iodine, and fluorine. they are members of one natural family. each representative has its peculiarities, its individual properties and points of distinction, in combination and in the free state--otherwise they would not be independent elements; but the repetition in all of them of the same chief characteristics of the family enables one more quickly to grasp all their various properties and to classify the elements themselves. in order to have a guiding thread in forming comparisons between the elements, attention must however be turned not only to their points of resemblance but also to those of their properties and characters in which they differ most from each other. and the atomic weights of the elements must be considered as their most elementary property, since this is a quantity which is most firmly established, and must be taken account of in all the reactions of the element. the halogens have the following atomic weights-- f = , cl = · , br = , i = . all the properties, physical and chemical, of the elements and their corresponding compounds must evidently be in a certain dependence on this fundamental point, if the grouping in one family be natural.[ bis] and we find in reality that, for instance, the properties of bromine, whose atomic weight is almost the mean between those of iodine and chlorine, occupy a mean position between those of these two elements. the second measurable property of the elements is their equivalence or their capacity for forming _compounds of definite forms_. thus carbon or nitrogen in this respect differs widely from the halogens. although the form clo_{ } corresponds with no_{ } and co_{ }, yet the last is the highest oxide of carbon, whilst that of nitrogen is n_{ }o_{ }, and for chlorine, if there were an anhydride of perchloric acid, its composition would be cl_{ }o_{ }, which is quite different from that of carbon. in respect to the forms of their compounds the halogens, like all elements of one family or group, are perfectly analogous to each other, as is seen from their hydrogen compounds: hf, hcl, hbr, hi. [ bis] see, for example the melting point of nacl, nabr, nai in chapter ii. note . according to f. freyer and v. meyer ( ), the following are the boiling points of some of the corresponding compounds of chlorine and bromine: bcl_{ } ° bbr_{ } ° sicl_{ } ° sibr_{ } ° pcl_{ } ° pbr_{ } ° sbcl_{ } ° sbbr_{ } ° bicl_{ } ° bibr_{ } ° sncl_{ } ° snbr_{ } ° zncl_{ } ° znbr_{ } ° thus for all the more volatile compounds the replacement of chlorine by bromine raises the boiling point, but in the ease of znx_{ } it lowers it (chapter xv. note ). their oxygen compounds exhibit a similar analogy. only fluorine does not give any oxygen compounds. the iodine and bromine compounds corresponding with hclo_{ } and hclo_{ } are hbro_{ } and hbro_{ }, hio_{ } and hio_{ }. on comparing the properties of these acids we can even predict that fluorine will not form any oxygen compound. for iodine is easily oxidised--for instance, by nitric acid--whilst chlorine is not directly oxidised. the oxygen acids of iodine are comparatively more stable than those of chlorine; and, generally speaking, the affinity of iodine for oxygen is much greater than that of chlorine. here also bromine occupies an intermediate position. in fluorine we may therefore expect a still smaller affinity for oxygen than in chlorine--and up to now it has not been combined with oxygen. if any oxygen compounds of fluorine should be obtained, they will naturally be exceedingly unstable. the relation of these elements to hydrogen is the reverse of the above. fluorine has so great an affinity for hydrogen that it decomposes water at the ordinary temperature; whilst iodine has so little affinity for hydrogen that hydriodic acid, hi, is formed with difficulty, is easily decomposed, and acts as a reducing agent in a number of cases. from the form of their compounds the halogens are _univalent elements_ with respect to hydrogen and septivalent with respect to oxygen, n being trivalent to hydrogen (it gives nh_{ }) and quinqui-valent to oxygen (it gives n_{ }o_{ }), and c being quadrivalent to both h and o as it forms ch_{ } and co_{ }. and as not only their oxygen compounds, but also their hydrogen compounds, have acid properties, the halogens are _elements_ of an exclusively _acid character_. such metals as sodium, potassium, barium only give basic oxides. in the case of nitrogen, although it forms acid oxides, still in ammonia we find that capacity to give an alkali with hydrogen which indicates a less distinctly acid character than in the halogens. in no other elements is the acid-giving property so strongly developed as in the halogens. in describing certain peculiarities characterising the halogens, we shall at every step encounter a confirmation of the above-mentioned general relations. as _fluorine_ decomposes water with the evolution of oxygen, f_{ } + h_{ }o = hf + o, for a long time all efforts to obtain it in free state by means of methods similar to those for the preparation of chlorine proved fruitless.[ ] thus by the action of hydrofluoric acid on manganese peroxide, or by decomposing a solution of hydrofluoric acid by an electric current, either oxygen or a mixture of oxygen and fluorine were obtained instead of fluorine. probably a certain quantity of fluorine[ bis] was set free by the action of oxygen or an electric current on incandescent and fused calcium fluoride, but at a high temperature fluorine acts even on platinum, and therefore it was not obtained. when chlorine acted on silver fluoride, agf, in a vessel of natural fluor spar, caf_{ }, fluorine was also liberated; but it was mixed with chlorine, and it was impossible to study the properties of the resultant gas. brauner ( ) also obtained fluorine by igniting cerium fluoride, cef_{ } = cef_{ } + f_{ }; but this, like all preceding efforts, only showed fluorine to be a gas which decomposes water, and is capable of acting in a number of instances like chlorine, but gave no possibility of testing its properties. it was evident that it was necessary to avoid as far as possible the presence of water and a rise of temperature; this moissan succeeded in doing in . he decomposed anhydrous hydrofluoric acid, liquefied at a temperature of - ° and contained in a u-shaped tube (to which a small quantity of potassium fluoride had been added to make it a better conductor), by the action of a powerful electric current (twenty bunsen's elements in series). hydrogen was then evolved at the negative pole, and fluorine appeared at the positive pole (of iridium platinum) as a pale green gas which decomposed water with the formation of ozone and hydrofluoric acid, and combined directly with silicon (forming silicon fluoride, sif_{ }), boron (forming bf_{ }), sulphur, &c. its density (h = ) is , so that its molecule is f_{ }. but the action of fluorine on metals at the ordinary temperature is comparatively feeble, because the metallic fluoride formed coats the remaining mass of the metals; it is, however, completely absorbed by iron. hydrocarbons (such as naphtha), alcohol, &c., immediately absorb fluorine, with the formation of hydrofluoric acid. fluorine when mixed with hydrogen can easily be made to explode violently, forming hydrofluoric acid.[ ] [ ] even before free fluorine was obtained ( ) it was evident from experience gained in the efforts made to obtain it, and from analogy, that it would decompose water (_see_ first russian edition of the _principles of chemistry_). [ bis] it is most likely that in this experiment of fremy's, which corresponds with the action of oxygen on calcium chloride, fluorine was set free, but that a converse reaction also proceeded, cao + f_{ } = caf_{ } + o--that is, the calcium distributed itself between the oxygen and fluorine. mnf_{ }, which is capable of splitting up into mnf_{ } and f_{ }, is without doubt formed by the action of a strong solution of hydrofluoric acid on manganese peroxide, but under the action of water the fluorine gives hydrofluoric acid, and probably this is aided by the affinity of the manganese fluoride and hydrofluoric acid. in all the attempts made (by davy, knox, louget, fremy, gore, and others) to decompose fluorides (those of lead, silver, calcium, and others) by chlorine, there were doubtless also cases of distribution, a portion of the metal combined with chlorine and a portion of the fluorine was evolved; but it is improbable that any decisive results were obtained. fremy probably obtained fluorine, but not in a pure state. [ ] according to moissan, fluorine is disengaged by the action of an electric current on fused hydrogen potassium fluoride, khf_{ }. the present state of chemical knowledge is such that the knowledge of the properties of an element is much more general than the knowledge of the free element itself. it is useful and satisfactory to learn that even fluorine in the free state has not succeeded in eluding experiment and research, that the efforts to isolate it have been crowned with success, but the sum total of chemical data concerning fluorine as an element gains but little by this achievement. the gain will, however, be augmented if it be now possible to subject fluorine to a comparative study in relation to oxygen and chlorine. there is particular interest in the phenomena of the distribution of fluorine and oxygen, or fluorine and chlorine, competing under different conditions and relations. we may add that moissan ( ) found that free fluorine decomposes h_{ }s, hcl, hbr, cs_{ }, and cnh with a flash; it does not act upon o_{ }, n_{ }, co, and co_{ }; mg, al, ag, and ni, when heated, burn in it, as also do s, se, p (forms pf_{ }); it reacts upon h_{ } even in the dark, with the evolution of · units of heat. at a temperature of - °, f_{ } still retains its gaseous state. soot and carbon in general (but not the diamond) when heated in gaseous fluorine form _fluoride of carbon_, cf_{ } (moissan, ); this compound is also formed at ° by the double decomposition of ccl_{ } and agf; it is a gas which liquefies at ° under a pressure of atmospheres. with an alcoholic solution of kho, cf_{ } gives k_{ }co_{ }, according to the equation cf_{ } + kho = k_{ }co_{ } + kf + h_{ }o. cf_{ } is not soluble in water, but it is easily soluble in ccl_{ } and alcohol. in brauner obtained fluorine directly by igniting the easily formed[ bis] double lead salt hf, kf,pbf_{ }, which first, at °, decomposes with the evolution of hf, and then splits up forming kf,pbf_{ } and fluorine f_{ }, which is recognised by the fact that it liberates iodine from ki and easily combines with silicon, forming sif_{ }. this method gives chemically pure fluorine, and is based upon the breaking up of the higher compound--tetrafluoride of lead, pbf_{ }, corresponding to pbo_{ }, into free fluorine, f_{ }, and the lower more stable form--bifluoride of lead, pbf_{ }, which corresponds to pbo; that is, this method resembles the ordinary method of obtaining chlorine by means of mno_{ }, as mncl_{ } here breaks up into mncl_{ } and chlorine, just as pbf_{ } splits up into pbf_{ } and fluorine. [ bis] t. nikolukin ( ) and subsequently friedrich and classen obtained pbcl_{ } and a double ammonium salt of tetrachloride of lead (starting from the binoxide), pbcl_{ } nh_{ }cl; hutchinson and pallard obtained a similar salt of acetic acid ( ) corresponding to pbx_{ } by treating red lead with strong acetic acid; the composition of this salt is pb(c_{ }h_{ }o_{ })_{ }; it melts (and decomposes) at about °. brauner ( ) obtained a salt corresponding to tetrafluoride of lead, pbf_{ }, and the acid corresponding to it, h_{ }pbf_{ }. for example, by treating potassium plumbate (chapter xviii. note ) with strong hf, and also the above-mentioned tetra-acetate with a solution of khf_{ }, brauner obtained crystalline hk_{ }pbf_{ }--i.e. the salt from which he obtained fluorine. among the compounds of fluorine, calcium fluoride, caf_{ }, is somewhat widely distributed in nature as fluor spar,[ ] whilst _cryolite_, or aluminium sodium fluoride, na_{ }alf_{ }, is found more rarely (in large masses in greenland). cryolite, like fluor spar, is also insoluble in water, and gives hydrofluoric acid with sulphuric acid. small quantities of fluorine have also in a number of cases been found in the bodies of animals, in the blood, urine, and bones. if fluorides occur in the bodies of animals, they must have been introduced in food, and must occur in plants and in water. and as a matter of fact river, and especially sea, water always contains a certain, although small, quantity of fluorine compounds. [ ] it is called spar because it very frequently occurs as crystals of a clearly laminar structure, and is therefore easily split up into pieces bounded by planes. it is called fluor spar because when used as a flux it renders ores fusible, owing to its reacting with silica, sio_{ } + caf_{ } = cao + sif_{ }; the silicon fluoride escapes as a gas and the lime combines with a further quantity of silica, and gives a vitreous slag. fluor spar occurs in mineral veins and rocks, sometimes in considerable quantities. it always crystallises in the cubic system, sometimes in very large semi-transparent cubic crystals, which are colourless or of different colours. it is insoluble in water. it melts under the action of heat, and crystallises on cooling. the specific gravity is · . when steam is passed over incandescent fluor spar, lime and hydrofluoric acid are formed: caf_{ } + h_{ }o = cao + hf. a double decomposition is also easily produced by fusing fluor spar with sodium or potassium hydroxides, or potash, or even with their carbonates; the fluorine then passes over to the potassium or sodium, and the oxygen to the calcium. in solutions--for example, ca(no_{ })_{ } + kf = caf_{ } (precipitate) + kno_{ } (in solution)--the formation of calcium fluoride takes place, owing to its very sparing solubility. , parts of water dissolve one part of fluor spar. hydrifluoric acid, hf, cannot be obtained from fluor spar in glass retorts, because glass is acted on by and destroys the acid. it is prepared in lead vessels, and when it is required pure, in platinum vessels, because lead also acts on hydrofluoric acid, although only very feebly on the surface, and when once a coating of fluoride and sulphate of lead is formed no further action takes place. powdered fluor spar and sulphuric acid evolve hydrofluoric acid (which fumes in the air) even at the ordinary temperature, caf_{ } + h_{ }so_{ } = caso_{ } + hf. at ° fluor spar is completely decomposed by sulphuric acid. the acid is then evolved as vapour, which may be condensed by a freezing mixture into an anhydrous acid. the condensation is aided by pouring water into the receiver of the condenser, as the acid is easily soluble in cold water. in the liquid anhydrous form hydrofluoric acid boils at + °, and its specific gravity at · ° = · .[ ] it dissolves in water with the evolution of a considerable amount of heat, and gives a solution of constant boiling point which distils over at °; showing that the acid is able to combine with water. the specific gravity of the compound is · , and its composition hf, h_{ }o.[ ] with an excess of water a dilute solution distils over first. the aqueous solution and the acid itself must be kept in platinum vessels, but the dilute acid may be conveniently preserved in vessels made of various organic materials, such as gutta-percha, or even in glass vessels having an interior coating of paraffin. hydrofluoric acid does not act on hydrocarbons and many other substances, but it acts in a highly corrosive manner on metals, glass, porcelain, and the majority of rock substances.[ ] it also attacks the skin, and is distinguished by its poisonous properties, so that in working with the acid a strong draught must be kept up, to prevent the possibility of the fumes being inhaled. the non-metals do not act on hydrofluoric acid, but all metals--with the exception of mercury, silver, gold, and platinum, and, to a certain degree, lead--decompose it with the evolution of hydrogen. with bases it gives directly metallic fluorides, and behaves in many respects like hydrochloric acid. there are, however, several distinct individual differences, which are furthermore much greater than those between hydrochloric, hydrobromic, and hydriodic acids. thus the silver compounds of the latter are insoluble in water, whilst silver fluoride is soluble. calcium fluoride, on the contrary, is insoluble in water, whilst calcium chloride, bromide, and iodide are not only soluble, but attract water with great energy. neither hydrochloric, hydrobromic, nor hydriodic acid acts on sand and glass, whilst hydrofluoric acid corrodes them, forming gaseous silicon fluoride. the other halogen acids only form normal salts, kcl, nacl, with na or k, whilst hydrofluoric acid gives acid salts, for instance hkf_{ } (and by dissolving kf in liquid hf, khf_{ } hf is obtained). this latter property is in close connection with the fact that at the ordinary temperature the vapour density of hydrofluoric acid is nearly , which corresponds with a formula h_{ }f_{ }, as mallet ( ) showed; but a depolymerisation occurs with a rise of temperature, and the density approaches , which answers to the formula hf.[ ] [ ] according to gore. fremy obtained anhydrous hydrofluoric acid by decomposing lead fluoride at a red heat, by hydrogen, or by beating the double salt hkf_{ }, which easily crystallises (in cubes) from a solution of hydrofluoric acid, half of which has been saturated with potassium hydroxide. its vapour density corresponds to the formula hf. [ ] this composition corresponds to the crystallo-hydrate hcl, h_{ }o. all the properties of hydrofluoric acid recall those of hydrochloric acid, and therefore the comparative ease with which hydrofluoric acid is liquefied (it boils at + °, hydrochloric acid at - °) must be explained by a polymerisation taking place at low temperatures, as will be afterwards explained, h_{ }f_{ } being formed, and therefore in a liquid state it differs from hydrochloric acid, in which a phenomenon of a similar kind has not yet been observed. [ ] the corrosive action of hydrofluoric acid on glass and similar siliceous compounds is based upon the fact that it acts on silica, sio_{ }, as we shall consider more fully in describing that compound, forming gaseous silicon fluoride, sio_{ } + hf = sif_{ } + h_{ }o. silica, on the other hand, forms the binding (acid) element of glass and of the mass of mineral substances forming the salts of silica. when it is removed the cohesion is destroyed. this is made use of in the arts, and in the laboratory, for etching designs and scales, &c., on glass. in _engraving on glass_ the surface is covered with a varnish composed of four parts of wax and one part of turpentine. this varnish is not acted on by hydrofluoric acid, and it is soft enough to allow of designs being drawn upon it whose lines lay bare the glass. the drawing is made with a steel point, and the glass is afterwards laid in a lead trough in which a mixture of fluor spar and sulphuric acid is placed. the sulphuric acid must be used in considerable excess, as otherwise transparent lines are obtained (owing to the formation of hydrofluosilicic acid). after being exposed for some time, the varnish is removed (melted) and the design drawn by the steel point is found reproduced in dull lines. the drawing may be also made by the direct application of a mixture of a silicofluoride and sulphuric acid, which forms hydrofluoric acid. [ ] mallet ( ) determined the density at ° and °, previous to which gore ( ) had determined the vapour density at °, whilst thorpe and hambly ( ) made fourteen determinations between ° and °, and showed that within this limit of temperature the density gradually diminishes, just like the vapour of acetic acid, nitrogen dioxide, and others. the tendency of hf to polymerise into h_{ }f_{ } is probably connected with the property of many fluorides of forming acid salts--for example, khf_{ } and h_{ }sif_{ }. we saw above that hcl has the same property (forming, for instance, h_{ }ptcl_{ }, &c., p. ), and hence this property of hydrofluoric acid does not stand isolated from the properties of the other halogens. the analogy between chlorine and the other two halogens, bromine and iodine, is much more perfect. not only have their hydrates or halogen acids much in common, but they themselves resemble chlorine in many respects,[ ] and even the properties of the corresponding metallic compounds of bromine and iodine are very much alike. thus, the chlorides, bromides, and iodides of sodium and potassium crystallise in the cubic system, and are soluble in water; the chlorides of calcium, aluminium, magnesium, and barium are just as soluble in water as the bromides and iodides of these metals. the iodides and bromides of silver and lead are sparingly soluble in water, like the chlorides of these metals. the oxygen compounds of bromine and iodine also present a very strong analogy to the corresponding compounds of chlorine. a hypobromous acid is known corresponding with hypochlorous acid. the salts of this acid have the same bleaching property as the salts of hypochlorous acid. iodine was discovered in by courtois in kelp, and was shortly afterwards investigated by clement, gay-lussac, and davy. bromine was discovered in by balard in the mother liquor of sea water. [ ] for instance, the experiment with dutch metal foil (note ) may be made with bromine just as well as with chlorine. a very instructive experiment on the direct combination of the halogens with metals maybe made by throwing a small piece (a shaving) of aluminium into a vessel containing liquid bromine; the aluminium, being lighter, floats on the bromine, and after a certain time reaction sets in accompanied by the evolution of heat, light, and fumes of bromine. the incandescent piece of metal moves rapidly over the surface of the bromine in which the resultant aluminium bromide dissolves. for the sake of comparison we will proceed to cite several thermochemical data (thomsen) for analogous actions of ( ) chlorine, ( ) bromine, and ( ) iodine, with respect to metals; the halogen being expressed by the symbol x, and the plus sign connecting the reacting substances. all the figures are given in thousands of calories, and refer to molecular quantities in grams and to the ordinary temperature:-- k_{ } + x_{ } na_{ } + x_{ } ag_{ } + x_{ } hg_{ } + x_{ } hg + x_{ } ca + x_{ } -- ba + x_{ } -- zn + x_{ } pb + x_{ } al + x_{ } we may remark that the latent heat of vaporisation of the molecular weight br_{ } is about · , and of iodine · thousand heat units, whilst the latent heat of fusion of br_{ } is about · , and of i_{ } about · thousand heat units. from this it is evident that the difference between the amounts of heat evolved does not depend on the difference in physical state. for instance, the vapour of iodine in combining with zn to form zni_{ } would give + + , or about sixty thousand heat units, or - / times less than zn + cl_{ }. _bromine_ and iodine, like chlorine, occur in sea water in combination with metals. however, the amount of bromides, and especially of iodides, in sea water is so small that their presence can only be discovered by means of sensitive reactions.[ ] in the extraction of salt from sea water the bromides remain in the mother liquor. iodine and bromine also occur combined with silver, in admixture with silver chloride, as a rare ore which is mainly found in america. certain mineral waters (those of kreuznach and staro-rossüsk) contain metallic bromides and iodides, always in admixture with an excess of sodium chloride. those upper strata of the stassfurt rock salt (chapter x.) which are a source of potassium salts also contain metallic bromides,[ ] which collect in the mother liquors left after the crystallisation of the potassium salts; and this now forms the chief source (together with certain american springs) of the bromine in common use. bromine may be easily liberated from a mixture of bromides and chlorides, owing to the fact that chlorine displaces bromine from its compounds with sodium, magnesium, calcium, &c. a colourless solution of bromides and chlorides turns an orange colour after the passage of chlorine, owing to the disengagement of bromine.[ ] bromine may be extracted on a large scale by a similar method, but it is simpler to add a small quantity of manganese peroxide and sulphuric acid to the mother liquid direct. this sets free a portion of the chlorine, and this chlorine liberates the bromine. [ ] one litre of sea-water contains about grams of chlorine, and about · gram of bromine. the dead sea contains about ten times as much bromine. [ ] but there is no iodine in stassfurt carnallite. [ ] the chlorine must not, however, be in large excess, as otherwise the bromine would contain chlorine. commercial bromine not unfrequently contains chlorine, as bromine chloride; this is more soluble in water than bromine, from which it may thus be freed. to obtain pure bromine the commercial bromine is washed with water, dried by sulphuric acid, and distilled, the portion coming over at ° being collected; the greater part is then converted into potassium bromide and dissolved, and the remainder is added to the solution in order to separate iodine, which is removed by shaking with carbon bisulphide. by heating the potassium bromide thus obtained with manganese peroxide and sulphuric acid, bromine is obtained quite free from iodine, which, however, is not present in certain kinds of commercial bromine (the stassfurt, for instance). by treatment with potash, the bromine is then converted into a mixture of potassium bromide and bromate, and the mixture (which is in the proportion given in the equation) is distilled with sulphuric acid, bromine being then evolved: kbr + kbro_{ } + h_{ }so_{ } = khso_{ } + h_{ }o + br_{ }. after dissolving the bromine in a strong solution of calcium bromide and precipitating with an excess of water, it loses all the chlorine it contained, because chlorine forms calcium chloride with cabr_{ }. bromine is a _dark brown liquid_, giving brown fumes, and having a poisonous suffocating smell, whence its name (from the greek [greek: brômos], signifying evil smelling). the vapour density of bromine shows that its molecule is br_{ }. in the cold bromine freezes into brown-grey scales like iodine. the melting point of pure bromine is - °· .[ ] the density of liquid bromide at ° is · , and at ° about · . the boiling point of bromine is about °· . bromine, like chlorine, is soluble in water; part of bromine at ° requires parts of water, and at ° parts of water. the aqueous solution of bromine is of an orange colour, and when cooled to - ° yields crystals containing molecules of water to molecule of bromine.[ ] alcohol dissolves a greater quantity of bromine, and ether a still greater amount. but after a certain time products of the action of the bromine on these organic substances are formed in the solutions. aqueous solutions of the bromides also absorb a large amount of bromine. [ ] there has long existed a difference of opinion as to the melting point of pure bromine. by some investigators (regnault, pierre) it was given as between - ° and - °, and by others (balard, liebig, quincke, baumhauer) as between - ° and - °. there is now no doubt, thanks more especially to the researches of ramsay and young ( ), that pure bromine melts at about - °. this figure is not only established by direct experiment (van der plaats confirmed it), but also by means of the determination of the vapour tensions. for solid bromine the vapour tension _p_ in mm. at _t_ was found to be-- _p_ = mm. _t_ = - °· - ° - ° - ° - · ° - ° for liquid bromine-- _p_ = mm. _t_ = - °· °· °· °· °· °· these curves intersect at - °· . besides which, in comparing the vapour tension of many liquids (for example, those given in chapter ii., note ), ramsay and young observed that the ratio of the absolute temperatures (_t_ + ) corresponding with equal tension _varies_ for every pair of substances in rectilinear proportion in dependence upon _t_, and, therefore, for the above pressure _p_, ramsay and young determined the ratio of _t_ + for water and bromine, and found that the straight lines expressing these ratios for liquid and solid bromine intersect also at °· ; thus, for example, for solid bromine-- _p_ = + _t_ = · · + _t_´ = · · · · · _c_ = · · · · · · where _t_´ indicates the temperature of water corresponding with a vapour tension _p_, and where _c_ is the ratio of + _t_´ to + _t_. the magnitude of _c_ is evidently expressed with great accuracy by the straight line _c_ = · + · _t_. in exactly the same way we find the ratio for liquid bromine and water to be _c__{ } = · + · t. the intersection of these straight lines in fact corresponds with - °· , which again confirms the melting point given above for bromine. in this manner it is possible with the existing store of data to accurately establish and _verify_ the melting point of substances. ramsay and young established the thermal constants of iodine by exactly the same method. [ ] the observations made by paterno and nasini (by raoult's method, chapter i. note ) on the temperature of the formation of ice (- °· , with · gram of bromine in grams of water) in an aqueous solution of bromine, showed that bromine is contained in solutions as the molecule br_{ }. similar experiments conducted on iodine (kloboukoff and beckmann ) show that in solution the molecule is i_{ }. b. roozeboom investigated the hydrate of bromine as completely as the hydrate of chlorine (notes , ). the temperature of the complete decomposition of the hydrate is + °· ; the density of br_{ }, h_{ }o = · . with respect to _iodine_, it is almost exclusively extracted from the mother liquors after the crystallisation of natural sodium nitrate (chili saltpetre) and from the ashes of the sea-weed cast upon the shores of france, great britain, and spain, sometimes in considerable quantities, by the high tides. the majority of these sea-weeds are of the genera _fucus_, _laminaria_, &c. the fused ashes of these sea-weeds are called 'kelp' in scotland and 'varech' in normandy. a somewhat considerable quantity of iodine is contained in these sea-weeds. after being burnt (or subjected to dry distillation) an ash is left which chiefly contains salts of potassium, sodium, and calcium. the metals occur in the sea-weed as salts of organic acids. on being burnt these organic salts are decomposed, forming carbonates of potassium and sodium. hence, sodium carbonate is found in the ash of sea plants. the ash is dissolved in hot water, and on evaporation sodium carbonate and other salts separate, but a portion of the substances remains in solution. these mother liquors left after the separation of the sodium carbonate contain chlorine, bromine, and iodine in combination with metals, the chlorine and iodine being in excess of the bromine. , kilos of kelp give about , kilos of sodium carbonate and kilos of iodine. the liberation of the iodine from the mother liquor is effected with comparative ease, because chlorine disengages iodine from potassium iodide and its other combinations with the metals. not only chlorine, but also sulphuric acid, liberates iodine from sodium iodide. sulphuric acid, in acting on an iodide, sets hydriodic acid free, but the latter easily decomposes, especially in the presence of substances capable of evolving oxygen, such as chromic acid, nitrous acid, and even ferric salts.[ ] owing to its sparing solubility in water, the iodine liberated separates as a precipitate. to obtain pure iodine it is sufficient to distil it, and neglect the first and last portions of the distillate, the middle portion only being collected. iodine passes directly from a state of vapour into a crystalline form, and settles on the cool portions of the apparatus in tabular crystals, having a black grey colour and metallic lustre.[ ] [ ] in general, hi + o = i_{ } + h_{ }o, if the oxygen proceed from a substance from which it is easily evolved. for this reason compounds corresponding with the higher stages of oxidation or chlorination frequently give a lower stage when treated with hydriodic acid. ferric oxide, fe_{ }o_{ }, is a higher oxide, and ferrous oxide, feo, a lower oxide; the former corresponds with fex_{ }, and the latter with fex_{ }, and this passage from the higher to the lower takes place under the action of hydriodic acid. thus hydrogen peroxide and ozone (chapter iv.) are able to liberate iodine from hydriodic acid. compounds of copper oxide, cuo or cux_{ }, give compounds of the suboxide cu_{ }o, or cux. even sulphuric acid, which corresponds to the higher stage so_{ }, is able to act thus, forming the lower oxide so_{ }. the liberation of iodine from hydriodic acid proceeds with still greater ease under the action of substances capable of disengaging oxygen. in practice, many methods are employed for liberating iodine from acid liquids containing, for example, sulphuric acid and hydriodic acid. the higher oxides of nitrogen are most commonly used; they then pass into nitric oxide. iodine may even be disengaged from hydriodic acid by the action of iodic acid, &c. but there is a limit in these reactions of the oxidation of hydriodic acid because, under certain conditions, especially in dilute solutions, the iodine set free is itself able to act as an oxidising agent--that is, it exhibits the character of chlorine, and of the halogens in general, to which we shall again have occasion to refer. in chili, where a large quantity of iodine is extracted in the manufacture of chili nitre, which contains naio_{ }, it is mixed with the acid and normal sulphites of sodium in solution; the iodine is then precipitated according to the equation naio_{ } + na_{ }so_{ } + nahso_{ } = na_{ }so_{ } +i_{ } + h_{ }o. the iodine thus obtained is purified by sublimation. [ ] for the final purification of iodine, stas dissolved it in a strong solution of potassium iodide, and precipitated it by the addition of water (_see_ note ). the specific gravity of the crystals of iodine is · . it melts at ° and boils at °. its vapour is formed at a much lower temperature, and is of a violet colour, whence iodine receives its name ([greek: ioeidês], violet). the smell of iodine recalls the characteristic smell of hypochlorous acid; it has a sharp sour taste. it destroys the skin and organs of the body, and is therefore frequently employed for cauterising and as an irritant for the skin. in small quantities it turns the skin brown, but the coloration disappears after a certain time, partly owing to the volatility of the iodine. water dissolves only / part of iodine. a brown solution is thus obtained, which bleaches, but much more feebly than bromine and chlorine. water which contains salts, and especially iodides, in solution dissolves iodine in considerable quantities, and the resultant solution is of a dark brown colour. pure alcohol dissolves a small amount of iodine, and in so doing acquires a brown colour, but the solubility of iodine is considerably increased by the presence of a small quantity of an iodine compound--for instance, ethyl iodide--in the alcohol.[ ] ether dissolves a larger amount of iodine than alcohol; but iodine is particularly soluble in liquid hydrocarbons, in carbon bisulphide, and in chloroform. a small quantity of iodine dissolved in carbon bisulphide tints it rose-colour, but in a somewhat larger amount it gives a violet colour. chloroform (quite free from alcohol) is also tinted rose colour by a small amount of iodine. this gives an easy means for detecting the presence of free iodine in small quantities. the blue coloration which free iodine gives with _starch_ may also, as has already been frequently mentioned (_see_ chapter iv.), serve for the detection of iodine. [ ] the solubility of iodine in solutions containing iodides, and compounds of iodine in general, may serve, on the one hand, as an indication that solution is due to a similarity between the solvent and dissolved substance, and, on the other hand, as an indirect proof of that view as to solutions which was cited in chapter i., because in many instances unstable highly iodised compounds, resembling crystallo-hydrates, have been obtained from such solutions. thus iodide of tetramethylammonium, n(ch_{ })_{ }i, combines with i_{ }, and i_{ }. even a solution of iodine in a saturated solution of potassium iodide presents indications of the formation of a definite compound ki_{ }. thus, an alcoholic solution of ki_{ } does not give up iodine to carbon bisulphide, although this solvent takes up iodine from an alcoholic solution of iodine itself (girault, jörgensen, and others). the instability of these compounds resembles the instability of many crystallo-hydrates, for instance of hcl, h_{ }o. if we compare the four elements, fluorine, chlorine, bromine, and iodine, we see in them an example of analogous substances which arrange themselves by their physical properties in the same order as they stand in respect to their atomic and molecular weights. if the weight of the molecule be large, the substance has a higher specific gravity, a higher melting and boiling point, and a whole series of properties depending on this difference in its fundamental properties. chlorine in a free state boils at about - °, bromine boils at °, and iodine only above °. according to avogadro-gerhardt's law, the vapour densities of these elements in a gaseous state are proportional to their atomic weights, and here, at all events approximately, the densities in a liquid (or solid) state are also almost in the ratio of their atomic weights. dividing the atomic weight of chlorine ( · ) by its specific gravity in a liquid state ( · ), we obtain a volume = , for bromine ( / · ) , and for iodine also ( / · ) .[ ] [ ] the equality of the atomic volumes of the halogens themselves is all the more remarkable because in all the halogen compounds the volume augments with the substitution of fluorine by chlorine, bromine, and iodine. thus, for example, the volume of sodium fluoride (obtained by dividing the weight expressed by its formula by its specific gravity) is about , of sodium chloride , of sodium bromide , and of sodium iodide . the volume of silicon chloroform, sihcl_{ }, is , and those of the corresponding bromine and iodine compounds are and respectively. the same difference also exists in solutions; for example, nacl + h_{ }o has a sp. gr. (at °/ °) of · , consequently the volume of the solution , · / · = , , hence the volume of sodium chloride in solution = , - , (this is the volume of h_{ }o) = , and in similar solutions, nabr = and nai = . the metallic bromides and iodides are in the majority of cases, in most respects analogous to the corresponding chlorides,[ ] but chlorine displaces the bromine and iodine from them, and bromine liberates iodine from iodides, which is taken advantage of in the preparation of these halogens. however, the researches of potilitzin showed that a _reverse_ displacement of chlorine by bromine may occur both in solutions and in ignited metallic chlorides in an atmosphere of bromine vapour--that is, a distribution of the metal (according to berthollet's doctrine) takes place between the halogens, although however the larger portion, still unites with the chlorine, which shows its greater affinity for metals as compared with that of bromine and iodine.[ ] the latter, however, sometimes behave with respect to metallic oxides in exactly the same manner as chlorine. gay-lussac, by igniting potassium carbonate in iodine vapour, obtained (as with chlorine) an evolution of oxygen and carbonic anhydride, k_{ }co_{ } + i_{ } = ki + co_{ } + o, only the reactions between the halogens and oxygen are more easily reversible with bromine and iodine than with chlorine. thus, at a red heat oxygen displaces iodine from barium iodide. aluminium iodide burns in a current of oxygen (deville and troost), and a similar, although not so clearly marked, relation exists for aluminium chloride, and shows that the halogens have a distinctly smaller affinity for those metals which only form feeble bases. this is still more the case with the non-metals, which form acids and evolve much more heat with oxygen than with the halogens (note ). but in all these instances the affinity (and amount of heat evolved) of iodine and bromine is less than that of chlorine, probably because the atomic weights are greater. the smaller store of energy in iodine and bromine is seen still more clearly in the relation of the halogens to hydrogen. in a gaseous state they all enter, with more or less ease, into direct combination with gaseous hydrogen--for example, in the presence of spongy platinum, forming halogen acids, hx--but the latter are far from being equally stable; hydrogen chloride is the most stable, hydrogen iodide the least so, and hydrogen bromide occupies an intermediate position. a very high temperature is required to decompose hydrogen chloride even partially, whilst hydrogen iodide is decomposed by light even at the ordinary temperature and very easily by a red heat. hence the reaction i_{ } + h_{ } = hi + hi is very easily reversible, and consequently has a limit, and hydrogen iodide easily dissociates.[ ] judging by the direct measurement of the heat evolved ( , heat units) in the formation of hcl, the conversion of hcl into h_{ } + cl_{ } requires the expenditure of , heat units. the decomposition of hbr into h_{ } + br_{ } only requires, if the bromine be obtained in a gaseous state, a consumption of about , units, whilst in the decomposition of hi into h_{ } + i_{ } as vapour about , heat units are _evolved_;[ ] these facts, without doubt, stand in causal connection with the great stability of hydrogen chloride, the easy decomposability of hydrogen iodide, and the intermediate properties of hydrogen bromide. from this it would be expected that chlorine is capable of decomposing water with the evolution of oxygen, whilst iodine has not the energy to produce this disengagement,[ ] although it is able to liberate the oxygen from the oxides of potassium and sodium, the affinity of these metals for the halogens being very considerable. for this reason oxygen, especially in compounds from which it can be evolved readily (for instance, clho, cro_{ }, &c.), easily decomposes hydrogen iodide. a mixture of hydrogen iodide and oxygen burns in the presence of an ignited substance, forming water and iodine. drops of nitric acid in an atmosphere of hydrogen iodide cause the disengagement of violet fumes of iodine and brown fumes of nitric peroxide. in the presence of alkalis and an excess of water, however, iodine is able to effect oxidation like chlorine--that is, it decomposes water; the action is here aided by the affinity of hydrogen iodide for the alkali and water, just as sulphuric acid helps zinc to decompose water. but the relative instability of hydriodic acid is best seen in comparing the acids in a gaseous state. if the halogen acids be dissolved in water, they evolve so much heat that they approach much nearer to each other in properties. this is seen from thermochemical data, for in the formation of hx in solution (in a large excess of water) from the _gaseous_ elements there is _evolved_ for hcl , , for hbr , , and for hi , heat units.[ ] but it is especially evident from the fact that solutions of hydrogen bromide and iodide in water have many points in common with solutions of hydrogen chloride, both in their capacity to form hydrates and fuming solutions of constant boiling point, and in their capacity to form haloid salts, &c. by reacting on bases. [ ] but the density (and also molecular volume, note ) of a bromine compound is always greater than that of a chlorine compound, whilst that of an iodine compound is still greater. the order is the same in many other respects. for example, an iodine compound has a higher boiling point than a bromine compound, &c. [ ] a. l. potilitzin showed that in heating various metallic chlorides in a closed tube, with an equivalent quantity of bromine, a distribution of the metal between the halogens always occurs, and that the amounts of chlorine replaced by the bromine in the ultimate product are proportional to the atomic weights of the metals taken and inversely proportional to their equivalence. thus, if nacl + br be taken, then out of parts of chlorine, · are replaced by the bromine, whilst with agcl + br · parts are replaced. these figures are in the ratio : · , and the atomic weights na : ag = : · . in general terms, if a chloride mcl_{_n_} be taken, it gives with _n_br a percentage substitution = m/_n_^ where m is the atomic weight of the metal. this law was deduced from observations on the chlorides of li, k, na, ag (_n_ = ), ca, sr, ba, co, ni, hg, pb (_n_ = ), bi (_n_ = ), sn (_n_ = ), and fe_{ } (_n_ = ). in these determinations of potilitzin we see not only a brilliant confirmation of berthollet's doctrine, but also the first effort to directly determine the affinities of elements by means of displacement. the chief object of these researches consisted in proving whether a displacement occurs in those cases where heat is absorbed, and in this instance it should be absorbed, because the formation of all metallic bromides is attended with the evolution of less heat than that of the chlorides, as is seen by the figures given in note . if the mass of the bromine be increased, then the amount of chlorine displaced also increases. for example, if masses of bromine of and equivalents act on a molecule of sodium chloride, then the percentages of the chlorine displaced will be · p.c. and · p.c.; in the action of , , , and molecules of bromine on a molecule of barium chloride, there will be displaced · , · , · , and · p.c. of chlorine. if an equivalent quantity of hydrochloric acid act on metallic bromides in closed tubes, and in the absence of water at a temperature of °, then the percentages of the substitution of the bromine by the chlorine in the double decomposition taking place between univalent metals are inversely proportional to their atomic weights. for example, nabr + hcl gives at the limit p.c. of displacement, kcl p.c. and agcl - / p.c. essentially the same action takes place in an aqueous solution, although the phenomenon is complicated by the participation of the water. the reactions proceed spontaneously in one or the other direction at the ordinary temperature but at different _rates_. in the action of a dilute solution ( equivalent per litres) of sodium chloride on silver bromide at the ordinary temperature the amount of bromine replaced in six and a half days is · p.c., and with potassium chloride · p.c. with an excess of the chloride the magnitude of the substitution increases. these conversions also proceed with the absorption of heat. the reverse reactions evolving heat proceed incomparably more rapidly, but also to a certain limit; for example, in the reaction agcl + rbr the following percentages of silver bromide are formed in different times: hours k · · · -- · na · · · · -- that is, the conversions which are accompanied by an evolution of heat proceed with very much greater rapidity than the reverse conversions. [ ] _the dissociation of hydriodic acid_ has been studied in detail by hautefeuille and lemoine, from whose researches we extract the following information. the decomposition of hydriodic acid is decided, but proceeds slowly at °; the rate and limit of decomposition increase with a rise of temperature. the reverse action--that is, i_{ } + h_{ } = hi--proceeds not only under the influence of spongy platinum (corenwinder), which also accelerates the decomposition of hydriodic acid, but also by itself, although slowly. the limit of the reverse reaction remains the same with or without spongy platinum. an increase of pressure has a very powerful accelerative effect on the rate of formation of hydriodic acid, and therefore spongy platinum by condensing gases has the same effect as increase of pressure. at the atmospheric pressure the decomposition of hydriodic acid reaches the limit at ° in several months, and at ° in several hours. the limit at ° is about p.c. of decomposition--that is, out of parts of hydrogen previously combined in hydriodic acid, about p.c. may be disengaged at this temperature (this hydrogen may be easily measured, and the measure of dissociation determined), but not more; the limit at ° is about p.c. if the pressure under which hi passes into h_{ } + i_{ } be - / atmospheres, then the limit is p.c.; under a pressure of / atmosphere the limit is p.c. the small influence of pressure on the dissociation of hydriodic acid (compared with n_{ }o_{ }, chapter vi. note ) is due to the fact that the reaction hi = i_{ } + h_{ } is not accompanied by a change of volume. in order to show the influence of time, we will cite the following figures referring to °: ( ) reaction h_{ } + i_{ }; after hours, p.c. of hydrogen remained free; hours, p.c.; hours, p.c.; hours, p.c.; and hours, · p.c. ( ) the reverse decomposition of hi; after hours, p.c. of hydrogen was set free, and after hours · p.c.--that is, the limit was reached. the addition of extraneous hydrogen diminishes the limit of the reaction of decomposition, or increases the formation of hydriodic acid from iodine and hydrogen, as would be expected from berthollet's doctrine (chapter x.). thus at ° p.c. of hydriodic acid is decomposed if there be no admixture of hydrogen, while if h_{ } be added, then at the limit only half as large a mass of hi is decomposed. therefore, if an infinite mass of hydrogen be added there will be no decomposition of the hydriodic acid. light aids the decomposition of hydriodic acid very powerfully. at the ordinary temperature p.c. is decomposed under the influence of light, whilst under the influence of heat alone this limit corresponds with a very high temperature. the distinct action of light, spongy platinum, and of impurities in glass (especially of sodium sulphate, which decomposes hydriodic acid), not only render the investigations difficult, but also show that in reactions like hi = i_{ } + h_{ }, which are accompanied by slight heat effects, all foreign and feeble influences may strongly affect the progress of the action (note ). [ ] the thermal determinations of thomsen (at °) gave in thousands of calories, cl + h = + , hcl + aq (that is, on dissolving hcl in a large amount of water) = + · , and therefore h + cl + aq = + · . in taking molecules, all these figures must be doubled. br + h = + · ; hbr + aq = · ; h + br + aq = + · . according to berthelot · are required for the vaporisation of br_{ }, hence br_{ } + h_{ } = · + · = + , if br_{ } be taken as vapour for comparison with cl_{ }. h + i =- · , hi + aq = · ; h + i + aq= + · , and, according to berthelot, the heat of fusion of i_{ } = · , and of vaporisation · thousand heat units, and therefore i_{ } + h_{ } =- ( · ) + + =- · , if the iodine be taken as vapour. berthelot, on the basis of his determinations, gives, however, + · thousand heat units. similar contradictory results are often met with in thermochemistry owing to the imperfection of the existing methods, and particularly the necessity of depending on indirect methods for obtaining the fundamental figures. thus thomsen decomposed a dilute solution of potassium iodide by gaseous chlorine; the reaction gave + · , whence, having first determined the heat effects of the reactions kho + hcl, kho + hi and cl + h in aqueous solutions, it was possible to find h + i + aq; then, knowing hi + aq, to find i + h. it is evident that unavoidable errors may accumulate. [ ] one can believe, however, on the basis of berthollet's doctrine, and the observations of potilitzin (note ), that a certain slow decomposition of water by iodine takes place. on this view the observations of dossios and weith on the fact that the solubility of iodine in water increases after the lapse of several months will be comprehensible. hydriodic acid is then formed, and it increases the solubility. if the iodine be extracted from such a solution by carbon bisulphide, then, as the authors showed, after the action of nitrous anhydride iodine may be again detected in the solution by means of starch. it can easily be understood that a number of similar reactions, requiring much time and taking place in small quantities, have up to now eluded the attention of investigators, who even still doubt the universal application of berthollet's doctrine, or only see the thermochemical side of reactions, or else neglect to pay attention to the element of time and the influence of mass. [ ] on the basis of the data in note . in consequence of what has been said above, it follows that _hydrobromic and hydriodic acids_, being substances which are but slightly stable, cannot be evolved in a gaseous state under many of those conditions under which hydrochloric acid is formed. thus if sulphuric acid in solution acts on sodium iodide, all the same phenomena take place as with sodium chloride (a portion of the sodium iodide gives hydriodic acid, and all remains in solution), but if sodium iodide be mixed with strong sulphuric acid, then the oxygen of the latter decomposes the hydriodic acid set free, with liberation of iodine, h_{ }so_{ } + hi = h_{ }o + so_{ } + i_{ }. this reaction takes place in the reverse direction in the presence of a _large quantity_ of water ( , parts of water per part of so_{ }), in which case not only the affinity of hydriodic acid for water is brought to light but also the action of water in directing chemical reactions in which it participates.[ ] therefore, with a halogen salt, it is easy to obtain gaseous hydrochloric acid by the action of sulphuric acid, but neither hydrobromic nor hydriodic acid can be so obtained in the free state (as gases).[ ] other methods have to be resorted to for their preparation, and recourse must not be had to compounds of oxygen, which are so easily able to destroy these acids. therefore hydrogen sulphide, phosphorus, &c., which themselves easily take up oxygen, are introduced as means for the conversion of bromine and iodine into hydrobromic and hydriodic acids in the presence of water. for example, in the action of phosphorus the essence of the matter is that the oxygen of the water goes to the phosphorus, and the union of the remaining elements leads to the formation of hydrobromic or hydriodic acid; but the matter is complicated by the reversibility of the reaction, the affinity for water, and other circumstances which are understood by following berthollet's doctrine. chlorine (and bromine also) directly decomposes hydrogen sulphide, forming hydrochloric acid and liberating sulphur, both in a gaseous form and in solutions, whilst iodine only decomposes hydrogen sulphide in weak solutions, when its affinity for hydrogen is aided by the affinity of hydrogen iodide for water. in a gaseous state iodine does not act on hydrogen sulphide,[ ] whilst sulphur is able to decompose gaseous hydriodic acid, forming hydrogen sulphide and a compound of sulphur and iodine which with water forms hydriodic acid.[ ] [ ] a number of similar cases confirm what has been said in chapter x. [ ] this is prevented by the reducibility of sulphuric acid. if volatile acids be taken they pass over, together with the hydrobromic and hydriodic acids, when distilled; whilst many non-volatile acids which are not reduced by hydrobromic and hydriodic acids only act feebly (like phosphoric acid), or do not act at all (like boric acid). [ ] this is in agreement with the thermochemical data, because if all the substances be taken in the gaseous state (for sulphur the heat of fusion is · , and the heat of vaporisation · ) we have h_{ } + s = · ; h_{ } + cl_{ } = ; h_{ } + br_{ } = , and h_{ } + i_{ } = - thousand heat units; hence the formation of h_{ }s gives less heat than that of hcl and hbr, but more than that of hi. in dilute solutions h_{ } + s + aq = · , and consequently less than the formation of all the halogen acids, as h_{ }s evolves but little heat with water, and therefore in dilute solutions chlorine, bromine, and iodine decompose hydrogen sulphide. [ ] here there are three elements, hydrogen, sulphur, and iodine, each pair of which is able to form a compound, hi, h_{ }s, and si, besides which the latter may unite in various proportions. the complexity of chemical mechanics is seen in such examples as these. it is evident that only the study of the simplest cases can give the key to the more complex problems, and on the other hand it is evident from the examples cited in the last pages that, without penetrating into the conditions of chemical equilibria, it would be impossible to explain chemical phenomena. by following the footsteps of berthollet the possibility of unravelling the problems will be reached; but work in this direction has only been begun during the last ten years, and much remains to be done in collecting experimental material, for which occasions present themselves at every step. in speaking of the halogens i wished to turn the reader's attention to problems of this kind. if hydrogen sulphide be passed through water containing iodine, the reaction h_{ }s + i_{ } = hi + s proceeds so long as the solution is dilute, but when the mass of free hi increases the reaction stops, because the iodine then passes into solution. a solution having a composition approximating to hi + i_{ } + h_{ }o (according to bineau) does not react with h_{ }s, notwithstanding the quantity of free iodine. therefore only weak solutions of hydriodic acid can be obtained by passing hydrogen sulphide into water with iodine.[ bis] [ bis] the same essentially takes place when sulphurous anhydride, in a dilute solution, gives hydriodic acid and sulphuric acid with iodine. on concentration a reverse reaction takes place. the equilibrated systems and the part played by water are everywhere distinctly seen. to obtain[ ] gaseous hydrobromic and hydriodic acids it is most convenient to take advantage of the reactions between phosphorus, the halogens, and water, the latter being present in small quantity (otherwise the halogen acids formed are dissolved by it); the halogen is gradually added to the phosphorus moistened with water. thus if red phosphorus be placed in a flask and moistened with water, and bromine be added drop by drop (from a tap funnel), hydrobromic acid is abundantly and uniformly disengaged.[ ] hydrogen iodide is prepared by adding part of common (yellow) dry phosphorus to parts of dry iodine in a glass flask. on shaking the flask, union proceeds quietly between them (light and heat being evolved), and when the mass of iodide of phosphorus which is formed has cooled, water is added drop by drop (from a tap funnel) and hydrogen iodide is evolved directly without the aid of heat. these methods of preparation will be at once understood when it is remembered (p. ) that phosphorus chloride gives hydrogen chloride with water. it is exactly the same here--the oxygen of the water passes over to the phosphorus, and the hydrogen to the iodine, thus, pi_{ } + h_{ }o = ph_{ }o_{ } + hi.[ ] [ ] methods of formation and preparation are nothing more than particular cases of chemical reaction. if the knowledge of chemical mechanics were more exact and complete than it now is it would be possible to foretell all cases of preparation _with every detail_ (of the quantity of water, temperature, pressure, mass, &c.) the study of practical methods of preparation is therefore one of the paths for the study of chemical mechanics. the reaction of iodine on phosphorus and water is a case like that mentioned in note , and the matter is here further complicated by the possibility of the formation of the compound ph_{ } with hi, as well as the production of pi_{ }, pi_{ }, and the affinity of hydriodic acid and the acids of phosphorus for water. the theoretical interest of equilibria in all their complexity is naturally very great, but it falls into the background in presence of the primary interest of discovering practical methods for the isolation of substances, and the means of employing them for the requirements of man. it is only after the satisfaction of these requirements that interests of the other order arise, which in their turn must exert an influence on the former. for these reasons, whilst considering it opportune to point out the theoretical interest of chemical equilibria, the chief attention of the reader is directed in this work to questions of practical importance. [ ] hydrobromic acid is also obtained by the action of bromine on paraffin heated to °. gustavson proposed to prepare it by the action of bromine (best added in drops together with traces of aluminium bromide) on anthracene (a solid hydrocarbon from coal tar). balard prepared it by passing bromine vapour over moist pieces of common phosphorus. the liquid tribromide of phosphorus, directly obtained from phosphorus and bromine, also gives hydrobromic acid when treated with water. bromide of potassium or sodium, when treated with sulphuric acid in the presence of phosphorus, also gives hydrobromic acid, but hydriodic acid is decomposed by this method. in order to free hydrobromic acid from bromine vapour it is passed over moist phosphorus and dried either by phosphoric anhydride or calcium bromide (calcium chloride cannot be used, as hydrochloric acid would be formed). neither hydrobromic nor hydriodic acids can be collected over mercury, on which they act, but they may be directly collected in a dry vessel by leading the gas-conducting tube to the bottom of the vessel, both gases being much heavier than air. merz and holtzmann ( ) proposed to prepare hbr directly from bromine and hydrogen. for this purpose pure dry hydrogen is passed through a flask containing boiling bromine. the mixture of gas and vapour then passes through a tube provided with one or two bulbs, which is heated moderately in the middle. hydrobromic acid is formed with a series of flashes at the part heated. the resultant hbr, together with traces of bromine, passes into a woulfe's bottle into which hydrogen is also introduced, and the mixture is then carried through another heated tube, after which it is passed through water which dissolves the hydrobromic acid. according to the method proposed by newth ( ) a mixture of bromine and hydrogen is led through a tube containing a platinum spiral, which is heated to redness after the air has been displaced from the tube. if the vessel containing the bromine be kept at °, the hydrogen takes up almost the theoretical amount of bromine required for the formation of hbr. although the flame which appears in the neighbourhood of the platinum spiral does not penetrate into the vessel containing the bromine, still, for safety, a tube filled with cotton wool may be interposed. hydroiodic acid is obtained in the same manner as hydrobromic. the iodine is heated in a small flask, and its vapour is carried over by hydrogen into a strongly heated tube, the gas passing from the tube is found to contain a considerable amount of hi, together with some free iodine. at a low red heat about p.c. of the iodine vapour enters into combination; at a higher temperature, p.c. to p.c.; and at a strong heat about p.c. [ ] but generally more phosphorus is taken than is required for the formation of pi_{ }, because otherwise a portion of the iodine distils over. if less than one-tenth part of iodine be taken, much phosphonium iodide, ph_{ }i, is formed. this proportion was established by gay-lussac and kolbe. hydriodic acid is also prepared in many other ways. bannoff dissolves two parts of iodine in one part of a previously prepared strong (sp. gr. · ) solution of hydriodic acid, and pours it on to red phosphorus in a retort. personne takes a mixture of fifteen parts of water, ten of iodine, and one of red phosphorus, which, when heated, disengages hydriodic acid mixed with iodine vapour; the latter is removed by passing it over moist phosphorus (note ). it must be remembered however that reverse reaction (oppenheim) may take place between the hydriodic acid and phosphorus, in which the compounds ph_{ }i and pi_{ } are formed. it should be observed that the reaction between phosphorus, iodine and water must be carried out in the above proportions and with caution, as they may react with explosion. with red phosphorus the reaction proceeds quietly, but nevertheless requires care. l. meyer showed that with an excess of iodine the reaction proceeds without the formation of bye-products (ph_{ }i), according to the equation p + i + h_{ }o = ph_{ }o_{ } + hi. for this purpose grams of iodine and grams of water are placed in a retort, and a paste of grams of red phosphorus and grams of water is added little by little (at first with great care). the hydriodic acid may be obtained free from iodine by directing the neck of the retort upwards and causing the gas to pass through a shallow layer of water (respecting the formation of hi, _see_ also note ). in a gaseous form hydrobromic and hydriodic acids are closely analogous to hydrochloric acid; they are liquefied by pressure and cold, they fume in the air, form solutions and hydrates, of constant boiling point, and react on metals, oxides and salts, &c.[ ] only the relatively easy decomposability of hydrobromic acid and especially of hydriodic acid, clearly distinguish these acids from hydrochloric acid. for this reason, hydriodic acid acts in a number of cases as a deoxidiser or reducer, and frequently even serves as a means for the transference of hydrogen. thus berthelot, baeyer, wreden, and others, by heating unsaturated hydrocarbons in a solution of hydriodic acid, obtained their compounds with hydrogen nearer to the limit c_{_n_}h_{ _n_ + } or even the saturated compounds. for example, benzene, c_{ }h_{ }, when heated in a closed tube with a strong solution of hydriodic acid, gives hexylene, c_{ }h_{ }. the easy decomposability of hydriodic acid accounts for the fact that iodine does not act by metalepsis on hydrocarbons, for the hydrogen iodide liberated with the product of metalepsis, ri, formed, gives iodine and the hydrogen compound, rh, back again. and therefore, to obtain the products of iodine substitution, either iodic acid, hio_{ } (kekulé), or mercury oxide, hgo (weselsky), is added, as they immediately react on the hydrogen iodide, thus: hio_{ } + hi = h_{ }o + i_{ }, or, hgo + hi = hgi_{ } + h_{ }o. from these considerations it will be readily understood that iodine acts like chlorine (or bromine) on ammonia and sodium hydroxide, for in these cases the hydriodic acid produced forms nh_{ }i and nai. with tincture of iodine or even the solid element, a solution of ammonia immediately forms a highly-explosive solid black product of metalepsis, nhi_{ }, generally known as _iodide_ of _nitrogen_, although it still contains hydrogen (this was proved beyond doubt by szuhay ), which may be replaced by silver (with the formation of nagi_{ }): nh_{ } + i_{ } = nh_{ }i + nhi_{ }. however, the composition of the last product is variable, and with an excess of water ni_{ } seems to be formed. iodide of nitrogen is just as explosive as nitrogen chloride.[ bis] in the action of iodine on sodium hydroxide no bleaching compound is formed (whilst bromine gives one), but a direct reaction is always accomplished with the formation of an iodate, naho + i_{ } = nai + h_{ }o + naio_{ } (gay-lussac). solutions of other alkalis, and even a mixture of water and oxide of mercury, act in the same manner.[ ] this direct formation of _iodic acid_, hio_{ } = io_{ }(oh), shows the propensity of iodine to give compounds of the type ix_{ }. indeed, this capacity of iodine to form compounds of a high type emphasises itself in many ways. but it is most important to turn attention to the fact that iodic acid is easily and directly formed by the action of oxidising substances on iodine. thus, for instance, strong nitric acid directly converts iodine into iodic acid, whilst it has no oxidising action on chlorine.[ bis] this shows a greater affinity in iodine for oxygen than in chlorine, and this conclusion is confirmed by the fact that iodine displaces chlorine from its oxygen acids,[ ] and that in the presence of water chlorine oxidises iodine.[ ] even ozone or a silent discharge passed through a mixture of oxygen and iodine vapour is able to directly oxidise iodine[ ] into iodic acid. it is disengaged from solutions as a hydrate, hio_{ }, which loses water at °, and gives an anhydride, i_{ }o_{ }. both these substances are crystalline (sp. gr. i_{ }o_{ } · , hio_{ } · at °), colourless and soluble in water;[ ] both decompose at a red heat into iodine and oxygen, are in many cases powerfully oxidising--for instance, they oxidise sulphurous anhydride, hydrogen sulphide, carbonic oxide, &c.--form chloride of iodine and water with hydrochloric acid, and with bases form salts, not only normal mio_{ }, but also acid; for example, kio_{ }hio_{ }, kio_{ } hio_{ }.[ bis] with hydriodic acid iodic acid immediately reacts, disengaging iodine, hio_{ } + hi = h_{ }o + i_{ }. [ ] the specific gravities of their solutions as deduced by me on the basis of topsöe and berthelot's determinations for °/ ° are as follows:-- p.c. hbr · · · · · · hi · · · · · · hydrobromic acid forms two hydrates, hbr, h_{ }o and hbr,h_{ }o, which have been studied by roozeboom with as much completeness as the hydrate of hydrochloric acid (chapter x. note ). with metallic silver, solutions of hydriodic acid give hydrogen with great ease, forming silver iodide. mercury, lead, and other metals act in a similar manner. [ bis] iodide of nitrogen, nhi_{ } is obtained as a brown pulverulent precipitate on adding a solution of iodine (in alcohol, for instance) to a solution of ammonia. if it be collected on a filter-paper, it does not decompose so long as the precipitate is moist; but when dry it explodes violently, so that it can only be experimented upon in small quantities. usually the filter-paper is torn into bits while moist, and the pieces laid upon a brick; on drying an explosion proceeds not only from friction or a blow, but even spontaneously. the more dilute the solution of ammonia, the greater is the amount of iodine required for the formation of the precipitate of nhi_{ }. a low temperature facilitates its formation. nhi_{ } dissolves in ammonia water, and when heated the solution forms hio_{ } and iodine. with ki, iodide of nitrogen gives iodine, nh_{ } and kho. these reactions (selivanoff) are explained by the formation of hio from nhi_{ } + h_{ }o = nh_{ } + hio--and then ki + hio = i_{ } + kho. selivanoff (_see_ note ) usually observed a temporary formation of hypoiodous acid, hio, in the reaction of ammonia upon iodine, so that here the formation of nhi_{ } is preceded by that of hio--_i.e._ first i_{ } + h_{ }o = hio + hi, and then not only the hi combines with nh_{ }, but also hio + nh_{ } = nhi_{ } + h_{ }o. with dilute sulphuric acid iodide of nitrogen (like ncl_{ }) forms hypoiodous acid, but it immediately passes into iodic acid, as is expressed by the equation hio = i_{ } + hio_{ } + h_{ }o (first hio = hio_{ } + hi, and then hi + hio = i_{ } + h_{ }o). moreover, selivanoff found that iodide of nitrogen, nhi_{ }, dissolves in an excess of ammonia water, and that with potassium iodide the solution gives the reaction for hypoiodous acid (the evolution of iodine in an alkaline solution). this shows that hio participates in the formation and decomposition of nhi_{ }, and therefore the condition of the iodine (its metaleptic position) in them is analogous, and differs from the condition of the halogens in the haloid-anhydrides (for instance, no_{ }cl). the latter are tolerably stable, while (the haloid being designated by x) nhx_{ }, nx_{ }, xoh, rxo (_see_ chapter xiii. note ), &c., are unstable, easily decomposed with the evolution of heat, and, under the action of water, the haloid is easily replaced by hydrogen (selivanoff), as would be expected in true products of metalepsis. [ ] hypoiodous acid, hio, is not known, but organic compounds, rio, of this type are known. to illustrate the peculiarities of their properties we will mention one of these compounds, namely, _iodosobenzol_, c_{ }h_{ }io. this substance was obtained by willgerodt ( ), and also by v. meyer, wachter, and askenasy, by the action of caustic alkalis upon phenoldiiodochloride, c_{ }h_{ }icl_{ } (according to the equation, c_{ }h_{ }icl_{ } + moh = c_{ }h_{ }io + mcl + h_{ }o). iodosobenzol is an amorphous yellow substance, whose melting point could not be determined because it explodes at °, decomposing with the evolution of iodine vapour. this substance dissolves in hot water and alcohol, but is not soluble in the majority of other neutral organic solvents. if acids do not oxidise c_{ }h_{ }io, they give saline compounds in which iodosobenzol appears as a basic oxide of a diatomic metal, c_{ }h_{ }i. thus, for instance, when an acetic acid solution of iodosobenzol is treated with a solution of nitric acid, it gives large monoclinic crystals of a nitric acid salt having the composition c_{ }h_{ }i(no_{ })_{ } (like ca(no_{ })_{ }). in appearing as the analogue of basic oxides, iodosobenzol displaces iodine from potassium iodide (in a solution acidulated with acetic or hydrochloric acid)--_i.e._ it acts with its oxygen like hclo. the action of peroxide of hydrogen, chromic acid, and other similar oxidising agents gives iodoxybenzol, c_{ }h_{ }io_{ }, which is a neutral substance--_i.e._ incapable of giving salts with acids (compare chapter xiii. note ). [ bis] the oxidation of iodine by strong nitric acid was discovered by connell; millon showed that it is effected, although more slowly, by the action of the hydrates of nitric acid up to hno_{ },h_{ }o, but that the solution hno_{ }, h_{ }o, and weaker solutions, do not oxidise, but simply dissolve, iodine. the participation of water in reactions is seen in this instance. it is also seen, for example, in the fact that dry ammonia combines directly with iodine--for instance, at ° forming the compound i_{ }, nh_{ }--whilst iodide of nitrogen is only formed in presence of water. [ ] bromine also displaces chlorine--for instance, from chloric acid, directly forming bromic acid. if a solution of potassium chlorate be taken ( parts per parts of water), and iodine be added to it ( parts), and then a small quantity of nitric acid, chlorine is disengaged on boiling, and potassium iodate is formed in the solution. in this instance the nitric acid first evolves a certain portion of the chloric acid, and the latter, with the iodine, evolves chlorine. the iodic acid thus formed acts on a further quantity of the potassium chlorate, sets a portion of the chloric acid free, and in this manner the action is kept up. potilitzin ( ) remarked, however, that not only do bromine and iodine displace the chlorine from chloric acid and potassium chlorate, but also chlorine displaces bromine from sodium bromate, and, furthermore, the reaction does not proceed as a direct substitution of the halogens, but is accompanied by the formation of free acids; for example, naclo_{ } + br_{ } + h_{ }o = nabr + hclo_{ } + hbro_{ }. [ ] if iodine be stirred up in water, and chlorine passed through the mixture, the iodine is dissolved; the liquid becomes colourless, and contains, according to the relative amounts of water and chlorine, either ihcl_{ }, or icl_{ }, or hio_{ }. if there be a small amount of water, then the iodic acid may separate out directly as crystals, but a complete conversion (bornemann) only occurs when not less than ten parts of water are taken to one part of iodine--icl + h_{ }o + cl_{ } = iho_{ } + hcl. [ ] schönbein and ogier proved this. ogier found that at ° ozone immediately oxidises iodine vapour, forming first of all the oxide i_{ }o_{ }, which is decomposed by water or on heating into iodic anhydride and iodine. iodic acid is formed at the positive pole when a solution of hydriodic acid is decomposed by a galvanic current (riche). it is also formed in the combustion of hydrogen mixed with a small quantity of hydriodic acid (salet). [ ] kämmerer showed that a solution of sp. gr. · at °, containing hio_{ }, h_{ }o, solidified completely in the cold. on comparing solutions hi + _m_h_{ }o with hio_{ } + _m_h_{ }o, we find that the specific gravity increases but the volume decreases, whilst in the passage of solutions hcl + _m_h_{ }o to hclo_{ } + _m_h_{ }o both the specific gravity and the volume increase, which is also observed in certain other cases (for example, h_{ }po_{ } and h_{ }po_{ }). [ bis] ditte ( ) obtained many iodates of great variety. a neutral salt, (liio_{ })h_{ }o, is obtained by saturating a solution of lithia with iodic acid. there is an analogous ammonium salt, (nh_{ }io_{ })h_{ }o. he also obtained hydrates of a more complex composition, such as (nh_{ }io_{ })h_{ }o and (nh_{ }io_{ }) h_{ }o. salts of the alkaline earths, ba(io_{ })_{ }h_{ }o and sr(io_{ })_{ }h_{ }o, may be obtained by a reaction of double decomposition from the normal salts of the type (meio_{ })h_{ }o. when evaporated at ° to ° with nitric acid these salts lose water. a mixture of solutions of nitrate of zinc and an alkaline iodate precipitates zn(io_{ })_{ } h_{ }o. an anhydrous salt is thrown out if nitric acid be added to the solutions. analogous salts of cadmium, silver, and copper give compounds of the type me´io_{ } nh_{ } and me´´(io_{ })_{ } nh_{ }, with gaseous ammonia (me´ and me´´ being elements of the first (ag) and second (cd, zn, cu) groups). with an aqueous solution of ammonia the above salts give substances of a different composition, such as zn(io_{ })_{ }(nh_{ })_{ }o, cd(io_{ })_{ }(nh_{ })_{ }o. copper gives cu(io_{ })_{ } (nh_{ })_{ }o and cu(io_{ })_{ }(nh_{ })_{ }o. these salts may be regarded as compounds of i_{ }o_{ }, and meo and (nh_{ })_{ }o; for example, zn(io_{ })_{ }(nh_{ })_{ }o may be regarded as zno(nh_{ })_{ }oi_{ }o_{ }, or, as derived from the hydrate, i_{ }o_{ } h_{ }o = (hio_{ })h_{ }o. as with chlorine, so with iodine, a _periodic acid_, hio_{ }, is formed. this acid is produced in the form of its salts, by the action of chlorine on alkaline solutions of iodates, and also by the action of iodine on chloric acid.[ ] it crystallises from solutions as a hydrate containing h_{ }o (corresponding with hclo_{ }, h_{ }o), but as it forms salts containing up to atoms of metals, this water must be counted as water of constitution. therefore io(oh)_{ } = hio_{ }, h_{ }o corresponds with the highest form of halogen compounds, ix_{ }.[ ] in decomposing (at °) or acting as an oxidiser, periodic acid first gives iodic acid, but it may also be ultimately decomposed. [ ] if sodium iodate be mixed with a solution of sodium hydroxide, heated, and chlorine passed through the solution, a sparingly soluble salt separates out, which corresponds with periodic acid, and has the composition na_{ }i_{ }o_{ }, h_{ }o. naho + naio_{ } + cl = nacl + na_{ }i_{ }o_{ } + h_{ }o. this compound is sparingly soluble in water, but dissolves easily in a very dilute solution of nitric acid. if silver nitrate be added to this solution a precipitate is formed which contains the corresponding compound of silver, ag_{ }i_{ }o_{ }, h_{ }o. if this sparingly soluble silver compound be dissolved in hot nitric acid, orange crystals of a salt having the composition agio_{ } separate on evaporation. this salt is formed from the preceding by the nitric acid taking up silver oxide--ag_{ }i_{ }o_{ } + hno_{ } = agno_ + agio_{ } + h_{ }o. the silver salt is decomposed by water, with the re-formation of the preceding salt, whilst iodic acid remains in solution-- agio_{ } + h_{ }o = ag_{ }i_{ }o_{ } + hio_{ }. the structure of the first of these salts, na_{ }i_{ }o_{ }, h_{ }o, presents itself in a simpler form if the water of crystallisation is regarded as an integral portion of the salt; the formula is then divided in two, and takes the form of io(oh)_{ }(ona)_{ }--that is, it answers to the type iox_{ }, or ix_{ }, like agio_{ } which is io_{ }(oag). the composition of all the salts of periodic acids are expressed by this type ix_{ }. kimmins ( ) refers all the salts of periodic acid to four types--the meta-salts of hio_{ } (salts of ag, cu, pb), the meso-salts of h_{ }io_{ } (pbh, ag_{ }h, cdh), the para-salts of h_{ }io_{ } (na_{ }h_{ }, na_{ }h_{ }), and the di-salts of h_{ }i_{ }o_{ } (k_{ }, ag_{ }, ni_{ }). the three first are direct compounds of the type ix_{ }, namely, io_{ }(oh), io_{ }(oh)_{ }, and io(oh)_{ }, and the last are types of diperiodic salts, which correspond with the type of the meso-salts, as pyrophosphoric salts correspond with orthophosphoric salts--_i.e._ h_{ }io_{ }-h_{ }o = h_{ }i_{ }o_{ }. [ ] periodic acid, discovered by magnus and ammermüller, and whose salts were afterwards studied by langlois, rammelsberg, and many others, presents an example of hydrates in which it is evident that there is not that distinction between the water of hydration and of crystallisation which was at first considered to be so clear. in hclo, h_{ }o the water, h_{ }o, is not displaced by bases, and must be regarded as water of crystallisation, whilst in hio_{ }, h_{ }o it must be regarded as water of hydration. we shall afterwards see that the system of the elements obliges us to consider the halogens as substances giving a highest saline type, _gx__{ }, where _g_ signifies a halogen, and _x_ oxygen (o = _x__{ }), oh, and other like elements. the hydrate io(oh)_{ } corresponding with many of the salts of periodic acid (for example, the salts of barium, strontium, mercury) does not exhaust all the possible forms. it is evident that various other pyro-, meta-, &c., forms are possible by the loss of water, as will be more fully explained in speaking of phosphoric acid, and as was pointed out in the preceding note. compounds formed between chlorine and iodine must be classed among the most interesting halogen bodies.[ ] these elements combine together directly with evolution of heat, and form _iodine monochloride_, icl, or _iodine trichloride_, icl_{ }.[ ] as water reacts on these substances, forming iodic acid and iodine, they have to be prepared from dry iodine and chlorine.[ ] both substances are formed in a number of reactions; for example, by the action of aqua regia on iodine, of chlorine on hydriodic acid, of hydrochloric acid on periodic acid, of iodine on potassium chlorate (with the aid of heat, &c.) trapp obtained iodine monochloride, in beautiful red crystals, by passing a rapid current of chlorine into molten iodine. the monochloride then distils over and solidifies, melting at °. by passing chlorine over the crystals of the monochloride, it is easy to obtain iodine trichloride in orange crystals, which melt at ° and volatilise at °, but in so doing decompose (into cl_{ } and cli). the chemical properties of these chlorides entirely resemble those of chlorine and iodine, as would be expected, because, in this instance, a combination of similar substances has taken place as in the formation of solutions or alloys. thus, for instance, the unsaturated hydrocarbons (for example, c_{ }h_{ }), which are capable of directly combining with chlorine and iodine, also directly combine with iodine monochloride. [ ] with respect to hydrogen, oxygen, chlorine, and other elements, bromine occupies an intermediate position between chlorine and iodine, and therefore there is no particular need for considering at length the compounds of bromine. this is the great advantage of a natural grouping of the elements. [ ] they were both obtained by gay-lussac and many others. recent data respecting iodine monochloride, icl, entirely confirm the numerous observations of trapp ( ), and even confirm his statement as to the existence of two isomeric (liquid and crystalline) forms (stortenbeker). with a small excess of iodine, iodine monochloride remains liquid, but in the presence of traces of iodine trichloride it easily crystallises. tanatar ( ) showed that of the two modifications of icl, one is stable, and melts at °; while the other, which easily passes into the first, and is formed in the absence of icl_{ }, melts at °. schützenberger amplified the data concerning the action of water on the chlorides (note ), and christomanos gave the fullest data regarding the trichloride. after being kept for some time, the liquid monochloride of iodine yields red deliquescent octahedra, having the composition icl_{ }, which are therefore formed from the monochloride with the liberation of free iodine, which dissolves in the remaining quantity of the monochloride. this substance, however, judging by certain observations, is impure iodine trichloride. if part of iodine be stirred up in parts of water, and chlorine be passed through the liquid, then all the iodine is dissolved, and a colourless liquid is ultimately obtained which contains a certain proportion of chlorine, because this compound gives a metallic chloride and iodate with alkalis without evolving any free iodine: icl_{ } + kho = kcl + kio_{ } + h_{ }o. the existence of a pentachloride icl_{ } is, however, denied, because this substance has not been obtained in a free state. stortenbeker ( ) investigated the equilibrium of the system containing the molecules i_{ }, icl, icl_{ }, and cl_{ }, in the same way that roozeboom (chapter x. note ) examined the equilibrium of the molecules hcl, hcl, h_{ }o, and h_{ }o. he found that iodine monochloride appears in two states, one (the ordinary) is stable and melts at °· , whilst the other is obtained by rapid cooling, and melts at °· , and easily passes into the first form. iodine trichloride melts at ° only in a closed tube under a pressure of atmospheres. [ ] by the action of water on iodine monochloride and trichloride a compound ihcl_{ } is obtained, which does not seem to be altered by water. besides this compound, iodine and iodic acid are always formed, icl + h_{ }o = hio_{ } + ihcl_{ } + i_{ }; and in this respect iodine trichloride may be regarded as a mixture, icl + icl_{ } = icl_{ }, but icl_{ } + h_{ }o = iho_{ } + hcl; hence iodic acid, iodine, the compound ihcl_{ }, and hydrochloric acid are also formed by the action of water. chapterr xii sodium the neutral salt, sodium sulphate, na_{ }so_{ }, obtained when a mixture of sulphuric acid and common salt is strongly heated (chapter x.),[ ] forms a colourless saline mass consisting of fine crystals, soluble in water. it is the product of many other double decompositions, sometimes carried out on a large scale; for example, when ammonium sulphate is heated with common salt, in which case the sal-ammoniac is volatilised, &c. a similar decomposition also takes place when, for instance, a mixture of lead sulphate and common salt is heated; this mixture easily fuses, and if the temperature be further raised heavy vapours of lead chloride appear. when the disengagement of these vapours ceases, the remaining mass, on being treated with water, yields a solution of sodium sulphate mixed with a solution of undecomposed common salt. a considerable quantity, however, of the lead sulphate remains unchanged during this reaction, pbso_{ } + nacl = pbcl_{ } + na_{ }so_{ }, the vapours will contain lead chloride, and the residue will contain the mixture of the three remaining salts. the cause and nature of the reaction are just the same as were pointed out when considering the action of sulphuric acid upon nacl. here too it may be shown that the double decomposition is determined by the removal of pbcl_{ } from the sphere of the action of the remaining substances. this is seen from the fact that sodium sulphate, on being dissolved in water and mixed with a solution of any lead salt (and even with a solution of lead chloride, although this latter is but sparingly soluble in water), immediately gives a white precipitate of lead sulphate. in this case the lead takes up the elements of sulphuric acid from the sodium sulphate in the solutions. on heating, the reverse phenomenon is observed. the reaction in the solution depends upon the insolubility of the lead sulphate, and the decomposition which takes place on heating is due to the volatility of the lead chloride. silver sulphate, ag_{ }so_{ }, in solution with common salt, gives silver chloride, because the latter is insoluble in water, ag_{ }so_{ } + nacl = na_{ }so_{ } + agcl. sodium carbonate, mixed in solution with the sulphates of iron, copper, manganese, magnesium, &c., gives in solution sodium sulphate, and in the precipitate a carbonate of the corresponding metal, because these salts of carbonic acid are insoluble in water; for instance, mgso_{ } + na_{ }co_{ } = na_{ }so_{ } + mgco_{ }. in precisely the same way sodium hydroxide acts on solutions of the majority of the salts of sulphuric acid containing metals, the hydroxides of which are insoluble in water--for instance, cuso_{ } + naho = cu(ho)_{ } + na_{ }so_{ }. sulphate of magnesium, mgso_{ }, on being mixed in solution with common salt, forms, although not completely, chloride of magnesium, and sodium sulphate. on cooling the mixture of such (concentrated) solutions sodium sulphate is deposited, as was shown in chapter x. this is made use of for preparing it on the large scale in works where sea-water is treated. in this case, on cooling, the reaction nacl + mgso_{ } = mgcl_{ } + na_{ }so_{ } takes place. [ ] whilst describing in some detail the properties of sodium chloride, hydrochloric acid, and sodium sulphate, i wish to impart, by separate examples, an idea of the properties of saline substances, but the dimensions of this work and its purpose and aim do not permit of entering into particulars concerning every salt, acid, or other substance. the fundamental object of this work--an account of the characteristics of the elements and an acquaintance with the forces acting between atoms--has nothing to gain from the multiplication of the number of as yet ungeneralised properties and relations. thus where sulphates and salts of sodium are in contact, it may be expected that sodium sulphate will be formed and separated if the conditions are favourable; for this reason it is not surprising that sodium sulphate is often found in the native state. some of the springs and salt lakes in the steppes beyond the volga, and in the caucasus, contain a considerable quantity of sodium sulphate, and yield it by simple evaporation of the solutions. beds of this salt are also met with; thus at a depth of only feet, about versts to the east of tiflis, at the foot of the range of the 'wolf's mane' (voltchia griva) mountains, a deep stratum of very pure glauber's salt, na_{ }so_{ }, h_{ }o, has been found.[ ] a layer two metres thick of the same salt lies at the bottom of several lakes (an area of about square kilometres) in the kouban district near batalpaschinsk, and here its working has been commenced ( ). in spain, near arangoulz and in many parts of the western states of north america, mineral sodium sulphate has likewise been found, and is already being worked. [ ] anhydrous (ignited) sodium sulphate, na_{ }so_{ }, is known in trade as 'sulphate' or salt-cake, in mineralogy _thenardite_. crystalline decahydrated salt is termed in mineralogy _mirabilite_, and in trade glauber's salt. on fusing it, the monohydrate na_{ }so_{ }h_{ }o is obtained, together with a supersaturated solution. the methods of obtaining salts by means of double decomposition from others already prepared are so general, that in describing a given salt there is no necessity to enumerate the cases hitherto observed of its being formed through various double decompositions.[ ] the possibility of this occurrence ought to be foreseen according to berthollet's doctrine from the properties of the salt in question. on this account it is important to know the properties of salts; all the more so because up to the present time those very properties (solubility, formation of crystallo-hydrates, volatility, &c.) which may be made use of for separating them from other salts have not been generalised.[ ] these properties as yet remain subjects for investigation, and are rarely to be foreseen. the crystallo-hydrate of the normal sodium sulphate, na_{ }so_{ }, h_{ }o, very easily parts with water, and may be obtained in an anhydrous state if it be carefully heated until the weight remains constant; but if heated further, it partly loses the elements of sulphuric anhydride. the normal salt fuses at ° (red heat), and volatilises to a slight extent when very strongly heated, in which case it naturally decomposes with the evolution of so_{ }. at ° parts of water dissolve parts of the anhydrous salt, at ° parts, at ° · , at ° , and at ° parts, the same being the case in the presence of an excess of crystals of na_{ }so_{ }, h_{ }o.[ ] at ° the latter fuses, and the solubility decreases at higher temperatures.[ ] a concentrated solution at ° has a composition nearly approaching to na_{ }so_{ } + h_{ }o, and the decahydrated salt contains · of the anhydrous salt combined with parts of water. from the above figures it is seen that the decahydrated salt cannot fuse without decomposing,[ ] like hydrate of chlorine, cl_{ }, h_{ }o (chapter xi., note ). not only the fused decahydrated salt, but also the concentrated solution at ° (not all at once, but gradually), yields the monohydrated salt, na_{ }so_{ },h_{ }o. the heptahydrated salt, na_{ }so_{ }, h_{ }o, also splits up, even at low temperatures, with the formation of this monohydrated salt, and therefore from ° the solubility can be given only for the latter. for parts of water this is as follows: at ° · , at ° · , at ° · , at ° · parts of the anhydrous salt. if the decahydrated salt be fused, and the solution allowed to cool in the presence of the monohydrated salt, then at ° · parts of anhydrous salt are retained in the solution, and at ° · parts. hence, with respect to the anhydrous and monohydrated salts, the solubility is identical, and falls with increasing temperature, whilst with respect to decahydrated salt, the solubility rises with increasing temperature. so that if in contact with a solution of sodium sulphate there are only crystals of that heptahydrated salt (chapter i., note ), na_{ }so_{ }, h_{ }o, which is formed from saturated solutions, then saturation sets in when the solution has the following composition per parts of salt: at ° · , at ° · , at ° · , and at ° · parts of anhydrous salt. above ° the heptahydrated salt, like the decahydrated salt at °, splits up into the monohydrated salt and a saturated solution. thus sodium sulphate has three curves of solubility: one for na_{ }so_{ }, h_{ }o (from ° to °), one for na_{ }so_{ }, h_{ }o (from ° to °), and one for na_{ }so_{ },h_{ }o (a descending curve beginning at °), because there are three of these crystallo-hydrates, and the solubility of a substance only depends upon the particular condition of that portion of it which has separated from the solution or is present in excess.[ ] [ ] the salts may be obtained not only by methods of substitution of various kinds, but also by many other combinations. thus sodium sulphate may be formed from sodium oxide and sulphuric anhydride, by oxidising sodium sulphide, na_{ }s, or sodium sulphite, na_{ }so_{ }, &c. when sodium chloride is heated in a mixture of the vapours of water, air, and sulphurous anhydride, sodium sulphate is formed. according to this method (patented by hargreaves and robinson), sodium sulphate, na_{ }so_{ }, is obtained from nacl without the preliminary manufacture of h_{ }so_{ }. lumps of nacl pressed into bricks are loosely packed into a cylinder and subjected, at a red heat, to the action of steam, air and so_{ }. under these conditions, hcl, sulphate, and a certain amount of unaltered nacl are obtained. this mixture is converted into soda by gossage's process (_see_ note ) and may have some practical value. [ ] many observations have been made, but little general information has been obtained from particular cases. in addition to which, the properties of a given salt are changed by the presence of other salts. this takes place not only in virtue of mutual decomposition or formation of double salts capable of separate existence, but is determined by the influence which some salts exert on others, or by forces similar to those which act during solution. here nothing has been generalised to that extent which would render it possible to predict without previous investigation, if there be no close analogy to help us. let us state one of these numerous cases: parts of water at ° dissolve parts of potassium nitrate but on the addition of sodium nitrate the solubility of potassium nitrate increases to parts in of water (carnelley and thomson). in general, in all cases of which there are accurate observations it appears that the presence of foreign salts changes the properties of any given salt. [ ] the information concerning solubility (chapter i.) is given according to the determinations of gay-lussac, lovell, and mulder. [ ] in chapter i., note , we have already seen that with many other sulphates the solubility also decreases after a certain temperature is passed. gypsum, caso_{ }, h_{ }o, lime, and many other compounds present such a phenomenon. an observation of tilden's ( ) is most instructive; he showed that on raising the temperature (in closed vessels) above ° the solubility of sodium sulphate again begins to increase. at ° parts of water dissolve about parts of anhydrous salt, at ° parts, at ° parts, at ° parts, at ° parts. according to Étard ( ) the solubility of parts of na{ }so_{ } in of solution (or per of water) corresponds to °, and above ° the solubility again falls, and very rapidly, so that at ° the solution contains per of solution (about per of water) and a further rise of temperature is followed by a further deposition of the salt. it is evident that the phenomenon of saturation, determined by the presence of an excess of the dissolved substance, is very complex, and therefore that for the theory of solutions considered as liquid indefinite chemical compounds, many useful statements can hardly be given. [ ] already referred to in chapter i., note . the example of sodium sulphate is historically very important for the theory of solutions. notwithstanding the number of investigations which have been made, it is still insufficiently studied, especially from the point of the vapour tension of solutions and crystallo-hydrates, so that those processes cannot be applied to it which guldberg, roozeboom, van't hoff, and others applied to solutions and crystallo-hydrates. it would also be most important to investigate the influence of pressure on the various phenomena corresponding with the combinations of water and sodium sulphate, because when crystals are separated--for instance, of the decahydrated salt--an increase of volume takes place, as can be seen from the following data:--the sp. gr. of the anhydrous salt is · , that of the decahydrated salt = · , but the sp. gr. of solutions at °/ ° = , + · _p_ + · _p_^ where p represents the percentage of anhydrous salt in the solution, and the sp. gr. of water at ° = , . hence for solutions containing p.c. of anhydrous salt the sp. gr. = · ; therefore the volume of grams of this solution = · c.c., and the volume of anhydrous salt contained in it is equal to / · , or = · c.c., and the volume of water = · c.c. therefore, the solution, on decomposing into anhydrous salt and water, increases in volume (from · to · ); but in the same way · c.c. of p.c. solution are formed from ( · / · =) · c.c. of the decahydrated salt, and · c.c. of water--that is to say, that during the formation of a solution from · c.c., · c.c. are formed. [ ] from this example it is evident the solution remains unaltered until from the contact of a solid it becomes either saturated or supersaturated, crystallisation being determined by the attraction to a solid, as the phenomenon of supersaturation clearly demonstrates. this partially explains certain apparently contradictory determinations of solubility. the best investigated example of such complex relations is cited in chapter xiv., note (for cacl_{ }). thus solutions of sodium sulphate may give crystallo-hydrates of three kinds on cooling the saturated solution: the unstable heptahydrated salt is obtained at temperatures below °, the decahydrated salt forms under ordinary conditions at temperatures below °, and the monohydrated salt at temperatures above °. both the latter crystallo-hydrates present a stable state of equilibrium, and the heptahydrated salt decomposes into them, probably according to the equation na_{ }so_{ }, h_{ } = na_{ }so_{ }, h_{ }o + na_{ }so_{ },h_{ }o. the ordinary decahydrated salt is called _glauber's salt_. all forms of these crystallo-hydrates lose their water entirely, and give the anhydrous salt when dried over sulphuric acid.[ ] [ ] according to pickering's experiments ( ), the molecular weight in grams (that is, grams) of anhydrous sodium sulphate, on being dissolved in a large mass of water, at ° absorbs (hence the-sign)- , heat units, at °- , at °- , at ° gives out + , at ° + calories. for the decahydrated salt, na_{ }so_{ }, h_{ }o, °- , , °- , , °- , , °- , , °- , . hence (just as in chapter i., note ) the heat of the combination na_{ }so_{ }, h_{ }o at ° = + , , ° = + , , ° = + , , and ° = + , . it is evident that the decahydrated salt dissolving in water gives a decrease of temperature. solutions in hydrochloric acid give a still greater decrease, because they contain the water of crystallisation in a solid state--that is, like ice--and this on melting absorbs heat. a mixture of parts of na_{ }so_{ }, h_{ }o and parts of strong hydrochloric acid produces sufficient cold to freeze water. during the treatment with hydrochloric acid a certain quantity of sodium chloride is formed. sodium sulphate, na_{ }so_{ }, only enters into a few reactions of combination with other salts, and chiefly with salts of the same acid, forming double sulphates. thus, for example, if a solution of sodium sulphate be mixed with a solution of aluminium, magnesium, or ferrous sulphate, it gives crystals of a double salt when evaporated. sulphuric acid itself forms a compound with sodium sulphate, which is exactly like these double salts. it is formed with great ease when sodium sulphate is dissolved in sulphuric acid and the solution evaporated. on evaporation, crystals of the acid salt separate, na_{ }so_{ } + h_{ }so_{ } = nahso_{ }. this separates from hot solutions, whilst the crystallo-hydrate, nahso_{ },h_{ }o,[ ] separates from cold solutions. the crystals when exposed to damp air decompose into h_{ }so_{ }, which deliquesces, and na_{ }so_{ } (graham, rose); alcohol also extracts sulphuric acid from the acid salt. this shows the feeble force which holds the sulphuric acid to the sodium sulphate.[ ] both acid sodium sulphate and all mixtures of the normal salt and sulphuric acid lose water when heated, and are converted into sodium _pyrosulphate_, na_{ }s_{ }o_{ }, at a low red heat.[ bis] this anhydrous salt, at a bright red heat, parts with the elements of sulphuric anhydride, the normal sodium sulphate remaining behind--na_{ }s_{ }o_{ } = na_{ }so_{ } + so_{ }. from this it is seen that the normal salt is able to combine with water, with other sulphates, and with sulphuric anhydride or acid, &c. [ ] the very large and well-formed crystals of this salt resemble the hydrate h_{ }so_{ },h_{ }o, or so(oh)_{ }. in general the replacement of hydrogen by sodium modifies many of the properties of acids less than its replacement by other metals. this most probably depends on the volumes being nearly equal. [ ] in solution (berthelot) the acid salt in all probability decomposes most in the greatest mass of water. the specific gravity (according to the determinations of marignac) of solutions at °/ ° = , + · _p_ + · _p_^ (_see_ note ). from these figures, and from the specific gravities of sulphuric acid, it is evident that on mixing solutions of this acid and sodium sulphate _expansion_ will always take place; for instance, h_{ }so_{ } + h_{ }o with na_{ }so_{ } + h_{ }o increases from volumes to . in addition to which, in weak solutions heat is absorbed, as shown in chapter x., note . nevertheless, even more acid salts may be formed and obtained in a crystalline form. for instance, on cooling a solution of part of sodium sulphate in parts of sulphuric acid, crystals of the composition nahso_{ },h_{ }so_{ } are separated (schultz, ). this compound fuses at about °; the ordinary acid salt, nahso_{ }, at °. [ bis] on decreasing the pressure, sodium hydrogen sulphate, nahso_{ }, dissociates much more easily than at the ordinary pressure; it loses water and forms the pyrosulphate, na_{ }s_{ }o_{ }; this reaction is utilised in chemical works. sodium sulphate may by double decomposition be converted into a sodium salt of any other acid, by means of heat and taking advantage of the volatility, or by means of solution and taking advantage of the different degree of solubility of the different salts. thus, for instance, owing to the insolubility of barium sulphate, sodium hydroxide or caustic soda may be prepared from sodium sulphate, if barium hydroxide be added to its solution, na_{ }so_{ } + ba(ho)_{ } = baso_{ } + naho. and by taking any salt of barium, bax_{ }, the corresponding salt of sodium may be obtained, na_{ }so_{ } + bax_{ } = baso_{ } + nax. barium sulphate thus formed, being a very sparingly-soluble salt, is obtained as a precipitate, whilst the sodium hydroxide, or salt, nax, is obtained in solution, because _all salts of sodium are soluble_. berthollet's doctrine permits all such cases to be foreseen. the reactions of _decomposition_ of sodium sulphate are above all noticeable by the separation of oxygen. sodium sulphate by itself is very stable, and it is only at a temperature sufficient to melt iron that it is possible to separate the elements so_{ } from it, and then only partially. however, the oxygen may be separated from sodium sulphate, as from all other sulphates, by means of many substances which are able to combine with oxygen, such as charcoal and sulphur, but hydrogen is not able to produce this action. if sodium sulphate be heated with charcoal, then carbonic oxide and anhydride are evolved, and there is produced, according to the circumstances, either the lower oxygen compound, sodium sulphite, na_{ }so_{ } (for instance, in the formation of glass); or else the decomposition proceeds further, and sodium sulphide, na_{ }s, is formed, according to the equation na_{ }so_{ } + c = co_{ } + na_{ }s. on the basis of this reaction the greater part of the sulphate of sodium prepared at chemical works is converted into _soda ash_--that is, _sodium carbonate_, na_{ }co_{ }, which is used for many purposes. in the form of carbonates, the metallic oxides behave in many cases just as they do in the state of oxides or hydroxides, owing to the feeble acid properties of carbonic acid. however, the majority of the salts of carbonic acid are insoluble, whilst sodium carbonate is one of the few soluble salts of this acid, and therefore reacts with facility. hence sodium carbonate is employed for many purposes, in which its alkaline properties come into play. thus, even under the action of feeble organic acids it immediately parts with its carbonic acid, and gives a sodium salt of the acid taken. its solutions exhibit an alkaline reaction on litmus. it aids the passage of certain organic substances (tar, acids) into solution, and is therefore used, like caustic alkalis and soap (which latter also acts by virtue of the alkali it contains), for the removal of certain organic substances, especially in bleaching cotton and similar fabrics. besides which a considerable quantity of sodium carbonate is used for the preparation of sodium hydroxide or caustic soda, which has also a very wide application. in large chemical works where sodium carbonate is manufactured from na_{ }so_{ }, it is usual first to manufacture sulphuric acid, and then by its aid to convert common salt into sodium sulphate, and lastly to convert the sodium sulphate thus obtained into carbonate and caustic soda. hence these works prepare both alkaline substances (soda ash and caustic soda) and acid substances (sulphuric and hydrochloric acids), the two classes of chemical products which are distinguished for the greatest energy of their reactions and are therefore most frequently applied to technical purposes. factories manufacturing soda are generally called alkali works. the process of the conversion of sodium sulphate into sodium carbonate consists in strongly heating a mixture of the sulphate with charcoal and calcium carbonate. the following reactions then take place: the sodium sulphate is first deoxidised by the charcoal, forming sodium sulphide and carbonic anhydride, na_{ }so_{ } + c = na_{ }s + co_{ }. the sodium sulphide thus formed then enters into double decomposition with the calcium carbonate taken, and gives calcium sulphide and sodium carbonate, na_{ }s + caco_{ } = na_{ }co_{ } + cas. [illustration: fig. .--reverberatory furnace for the manufacture of sodium carbonate. f, grate. a, bridge. m, hearth for the ultimate calcination of the mixture of sodium sulphate, coal, and calcium carbonate, which is charged from above into the part of the furnace furthest removed from the fire f. p, p, doors for stirring and bringing the mass towards the grate f by means of stirrers r. at the end of the operation the semifused mass is charged into trucks c.] besides which, under the action of the heat, a portion of the excess of calcium carbonate is decomposed into lime and carbonic anhydride, caco_{ } = cao + co_{ }, and the carbonic anhydride with the excess of charcoal forms carbon monoxide, which towards the end of the operation shows itself by the appearance of a blue flame. thus from a mass containing sodium sulphate we obtain a mass which includes sodium carbonate, calcium sulphide, and calcium oxide, but none of the sodium sulphide which was formed on first heating the mixture. the entire process, which proceeds at a high temperature, may be expressed by a combination of the three above-mentioned formulæ, if it be considered that the product contains one equivalent of calcium oxide to two equivalents of calcium sulphide.[ ] the sum of the reactions may then be expressed thus: na_{ }so_{ } + caco_{ } + c = na_{ }co_{ } + cao, cas + co. indeed, the quantities in which the substances are mixed together at chemical works approaches to the proportion required by this equation. the entire process of decomposition is carried on in reverberatory furnaces, into which a mixture of , parts of sodium sulphate, , parts of calcium carbonate (as a somewhat porous limestone), and parts of small coal is introduced from above. this mixture is first heated in the portion of the furnace which is furthest removed from the fire-grate; it is then brought to the portion nearest to the fire-grate, when it is stirred during heating. the partially fused mass obtained at the end of the process is cooled, and then subjected to methodical lixiviation[ ] to extract the sodium carbonate, the mixture of calcium oxide and sulphide forming the so-called 'soda waste' or 'alkali waste.'[ ] [ ] calcium sulphide, cas, like many metallic sulphides which are soluble in water, is decomposed by it (chapter x.), cas + h_{ }o = cao + h_{ }s, because hydrogen sulphide is a very feeble acid. if calcium sulphide be acted on by a large mass of water, lime may be precipitated, and a state of equilibrium will be reached, when the system cao + cas remains unchanged. lime, being a product of the action of water on cas, limits this action. therefore, if in black ash the lime were not in excess, a part of the sulphide would be in solution (actually there is but very little). in this manner in the manufacture of sodium carbonate the conditions of equilibrium which enter into double decompositions have been made use of (_see above_), and the aim is to form directly the unchangeable product cao, cas. this was first regarded as a special insoluble compound, but there is no evidence of its independent existence. [ ] [illustration: fig. .--apparatus for the methodical lixiviation of black ash, &c. water flows into the tanks from the pipes _r_, _r_, and the saturated liquid is drawn off from _c_, _c_.] _methodical lixiviation_ is the extraction, by means of water, of a soluble substance from the mass containing it. it is carried on so as not to obtain weak aqueous solutions, and in such a way that the residue shall not contain any of the soluble substance. this problem is practically of great importance in many industries. it is required to extract from the mass all that is soluble in water. this is easily effected if water be first poured on the mass, the strong solution thus obtained decanted, then water again poured on, time being allowed for it to act, then again decanted, and so on until fresh water does not take up anything. but then finally such weak solutions are obtained that it would be very disadvantageous to evaporate them. this is avoided by pouring the fresh hot water destined for the lixiviation, not onto the fresh mass, but upon a mass which has already been subjected to a first lixiviation by weak solutions. in this way the fresh water gives a weak solution. the strong solution which goes to the evaporating pan flows from those parts of the apparatus which contain the fresh, as yet unlixiviated, mass, and thus in the latter parts the weak alkali formed in the other parts of the apparatus becomes saturated as far as possible with the soluble substance. generally several intercommunicating vessels are constructed (standing at the same level) into which in turn the fresh mass is charged which is intended for lixiviation; the water is poured in, the alkali drawn off, and the lixiviated residue removed. the illustration represents such an apparatus, consisting of four communicating vessels. the water poured into one of them flows through the two nearest and issues from the third. the fresh mass being placed in one of these boxes or vessels, the stream of water passing through the apparatus is directed in such a manner as to finally issue from this vessel containing the fresh unlixiviated mass. the fresh water is added to the vessel containing the material which has been almost completely exhausted. passing through this vessel it is conveyed by the pipe (syphon passing from the bottom of the first box to the top of the second) communicating with the second; it finally passes (also through a syphon pipe) into the box (the third) containing the fresh material. the water will extract all that is soluble in the first vessel, leaving only an insoluble residue. this vessel is then ready to be emptied, and refilled with fresh material. the levels of the liquids in the various vessels will naturally be different, in consequence of the various strengths of the solutions which they contain. it must not, however, be thought that sodium carbonate alone passes into the solution; there is also a good deal of caustic soda with it, formed by the action of lime on the carbonate of sodium, and there are also certain sodium sulphur compounds with which we shall partly become acquainted hereafter. the sodium carbonate, therefore, is not obtained in a very pure state. the solution is concentrated by evaporation. this is conducted by means of the waste heat from the soda furnaces, together with that of the gases given off. the process in the soda furnaces can only be carried on at a high temperature, and therefore the smoke and gases issuing from them are necessarily very hot. if the heat they contain was not made use of there would be a great waste of fuel; consequently in immediate proximity to these furnaces there is generally a series of pans or evaporating boilers, under which the gases pass, and into which the alkali solution is poured. on evaporating the solution, first of all the undecomposed sodium sulphate separates, then the sodium carbonate or soda crystals. these crystals as they separate are raked out and placed on planks, where the liquid drains away from them. caustic soda remains in the residue, and also any sodium chloride which was not decomposed in the foregoing process. part of the sodium carbonate is recrystallised in order to purify it more thoroughly. in order to do this a saturated solution is left to crystallise at a temperature below ° in a current of air, in order to promote the separation of the water vapour. the large transparent crystals (efflorescent in air) of na_{ }co_{ }, h_{ }o are then formed which have already been spoken of (chapter i.). [ ] the whole of the sulphur used in the production of the sulphuric acid employed in decomposing the common salt is contained in this residue. this is the great burden and expense of the soda works which use leblanc's method. as an instructive example from a chemical point of view, it is worth while mentioning here two of the various methods of recovering the sulphur from the soda waste. chance's process is treated in chapter xx., note . kynaston ( ) treats the soda waste with a solution (sp. gr. l· ) of magnesium chloride, which disengages sulphuretted hydrogen: cas + mgcl_{ } + h_{ }o = cacl_{ } + mg(oh)_{ } + h_{ }s. sulphurous anhydride is passed through the residue in order to form the insoluble calcium sulphite: cacl_{ } + mg(oh)_{ } + so_{ } = caso_{ } + mgcl_{ } + h_{ }o. the solution of magnesium chloride obtained is again used, and the washed calcium sulphite is brought into contact at a low temperature with hydrochloric acid (a weak aqueous solution) and hydrogen sulphide, the whole of the sulphur then separating: caso_{ } + h_{ }s + hcl = cacl_{ } + h_{ }o + s. but most efforts have been directed towards avoiding the formation of soda waste. the above-mentioned process for making soda was discovered in the year by the french doctor leblanc, and is known as the leblanc process. the particulars of the discovery are somewhat remarkable. sodium carbonate, having a considerable application in industry, was for a long time prepared exclusively from the ash of marine plants (chapter xi., page ). even up to the present time this process is carried on in normandy. in france, where for a long time the manufacture of large quantities of soap (so-called marseilles soap) and various fabrics required a large amount of soda, the quantity prepared at the coast was insufficient to meet the demand. for this reason during the wars at the beginning of the century, when the import of foreign goods into france was interdicted, the want of sodium carbonate was felt. the french academy offered a prize for the discovery of a profitable method of preparing it from common salt. leblanc then proposed the above-mentioned process, which is remarkable for its great simplicity.[ ] [ ] among the drawbacks of the leblanc process are the accumulation of 'soda waste' (note ) owing to the impossibility at the comparatively low price of sulphur (especially in the form of pyrites) of finding employment for the sulphur and sulphur compounds for which this waste is sometimes treated, and also the insufficient purity of the sodium carbonate for many purposes. the advantages of the leblanc process, besides its simplicity and cheapness, are that almost the whole of the acids obtained as bye-products have a commercial value; for chlorine and bleaching powder are produced from the large amount of hydrochloric acid which appears as a bye-product; caustic soda also is very easily made, and the demand for it increases every year. in those places where salt, pyrites, charcoal, and limestone (the materials required for alkali works) are found side by side--as, for instance, in the ural or don districts--conditions are favourable to the development of the manufacture of sodium carbonate on an enormous scale; and where, as in the caucasus, sodium sulphate occurs naturally, the conditions are still more favourable. a large amount, however, of the latter salt, even from soda works, is used in making glass. the most important soda works, as regards the quantity of products obtained from them, are the english works. as an example of the other numerous and varied methods of manufacturing soda from sodium chloride, the following may be mentioned: sodium chloride is decomposed by oxide of lead, pbo, forming lead chloride and sodium oxide, which, with carbonic anhydride, yields sodium carbonate (scheele's process). in cornu's method sodium chloride is treated with lime, and then exposed to the air, when it yields a small quantity of sodium carbonate. in e. kopp's process sodium sulphate ( parts) is mixed with oxide of iron ( parts) and charcoal ( parts), and the mixture is heated in reverberatory furnaces. here a compound, na_{ }fe_{ }s_{ }, is formed, which is insoluble in water absorbs oxygen and carbonic anhydride, and then forms sodium carbonate and ferrous sulphide; this when roasted gives sulphurous anhydride, the indispensable material for the manufacture of sulphuric acid, and ferric oxide which is again used in the process. in grant's method sodium sulphate is transformed into sodium sulphide, and the latter is decomposed by a stream of carbonic anhydride and steam, when hydrogen sulphide is disengaged and sodium carbonate formed. gossage prepares na_{ }s from na_{ }so_{ } (by heating it with carbon), dissolves it in water and subjects the solution to the action of an excess of co_{ } in coke towers, thus obtaining h_{ }s (a gas which gives so_{ } under perfect combustion, or sulphur when incompletely burnt, chapter xx., note ) and bicarbonate of sodium; na_{ }s + co_{ } + h_{ }o = h_{ }s + hnaco_{ }. the latter gives soda and co_{ } when ignited. this process quite eliminates the formation of soda-waste (_see_ note ) and should in my opinion be suitable for the treatment of native na_{ }so_{ }, like that which is found in the caucasus, all the more since h_{ }s gives sulphur as a bye-product. repeated efforts have been made in recent times to obtain soda (and chlorine, _see_ chapter ii., note ) from strong solutions of salt (chapter x., note bis) by the action of an electric current, but until now these methods have not been worked out sufficiently for practical use, probably partly owing to the complicated apparatus needed, and the fact that the chlorine given off at the anode corrodes the electrodes and vessels and has but a limited industrial application. we may mention that according to hempel ( ) soda in crystals is deposited when an electric current and a stream of carbonic acid gas are passed through a saturated solution of nacl. sodium carbonate may likewise be obtained from cryolite (chapter xvii., note ) the method of treating this will be mentioned under aluminium. of all other industrial processes for manufacturing sodium carbonate, the _ammonia process_ is the most worthy of mention.[ ] in this the vapours of ammonia, and then an excess of carbonic anhydride, are directly introduced into a concentrated solution of sodium chloride in order to form the acid ammonium carbonate, nh_{ }hco_{ }. then, by means of the double saline decomposition of this salt, sodium chloride is decomposed, and in virtue of its slight solubility acid sodium carbonate, nahco_{ }, is precipitated and ammonium chloride, nh_{ }cl, is obtained in solution (with a portion of the sodium chloride and acid sodium carbonate). the reaction proceeds in the solution owing to the sparing solubility of the nahco_{ } according to the equation nacl + nh_{ }hco_{ } = nh_{ }cl + nahco_{ }. the ammonia is recovered from the solution by heating with lime or magnesia,[ bis] and the precipitated acid sodium carbonate is converted into the normal salt by heating. it is thus obtained in a very pure state.[ ] [ ] this process (chapter xvii.) was first pointed out by turck, worked out by schloesing, and finally applied industrially by solvay. the first ( ) large soda factories erected in russia for working this process are on the banks of the kama at berezniak, near ousolia, and belong to lubimoff. but russia, which still imports from abroad a large quantity of bleaching powder and exports a large amount of manganese ore, most of all requires works carrying on the leblanc process. in a factory of this kind was erected by p. k. oushkoff, on the kama, near elagoubi. [ bis] mond (_see_ chapter xi., note bis) separates the nh_{ }cl from the residual solutions by cooling (chapter x., note ); ignites the sal-ammoniac and passes the vapour over mgo, and so re-obtains the nh_{ }, and forms mgcl_{ }: the former goes back for the manufacture of soda, while the latter is employed either for making hcl or cl_{ }. [ ] commercial soda ash (calcined, anhydrous) is rarely pure; the crystallised soda is generally purer. in order to purify it further, it is best to boil a concentrated solution of soda ash until two-thirds of the liquid remain, collect the soda which settles, wash with cold water, and then shake up with a strong solution of ammonia, pour off the residue, and heat. the impurities will then remain in the mother liquors, &c. some numerical data may be given for sodium carbonate. the specific gravity of the anhydrous salt is · , that of the decahydrated salt · . two varieties are known of the heptahydrated salt (löwel, marignac, rammelsberg), which are formed together by allowing a saturated solution to cool under a layer of alcohol; the one is less stable (like the corresponding sulphate) and at ° has a solubility of parts (of anhydrous salt) in water; the other is more stable, and its solubility parts (of anhydrous salt) per of water. the solubility of the decahydrated salt in water = at °, · ; at °, · ; at °, · parts (of anhydrous salt). at ° the solubility is only · , at ° · , at °, · parts (of anhydrous salt). that is, it falls as the temperature rises, like na_{ }so_{ }. the specific gravity (note ) of the solutions of sodium carbonate, according to the data of gerlach and kohlrausch, at °/ ° is expressed by the formula, _s_ = , + · _p_ + · _p_^ . weak solutions occupy a volume not only less than the sum of the volumes of the anhydrous salt and the water, but even less than the water contained in them. for instance, , grams of a p.c. solution occupy (at °) a volume of · c.c. (sp. gr. · ), but contain grams of water, occupying at ° a volume of · c.c. a similar case, which is comparatively rare occurs also with sodium hydroxide, in those dilute solutions for which the factor _a_ is greater than if the sp. gr. of water at ° = , , and if the sp. gr. of the solution be expressed by the formula _s_ = _s__{ } + _ap_ + _bp_^ , where _s__{ } is the specific gravity of the water. for p.c. the sp. gr. °/ ° = · ; for p.c. · ; for p.c. · . the changes in the sp. gr. with the temperature are here almost the same as with solutions of sodium chloride with an equal value of _p_. sodium carbonate, like sodium sulphate, loses all its water on being heated, and when anhydrous fuses at a bright-red heat ( °). a small quantity of sodium carbonate placed in the loop of a platinum wire volatilises in the heat of a gas flame, and therefore in the furnaces of glass works part of the soda is always transformed into the condition of vapour. sodium carbonate resembles sodium sulphate in its relation to water.[ ] here also the greatest solubility is at the temperature of °; both salts, on crystallising at the ordinary temperature, combine with ten molecules of water, and such crystals of soda, like crystals of glauber's salt, fuse at °. sodium carbonate also forms a supersaturated solution, and, according to the conditions, gives various combinations with water of crystallisation (mentioned on page ), &c. [ ] the resemblance is so great that, notwithstanding the difference in the molecular composition of na_{ }so_{ } and na_{ }co_{ }, they ought to be classed under the type (nao)_{ }r, where r = so_{ } or co. many other sodium salts also contain mol. h_{ }o. at a red heat superheated steam liberates carbonic anhydride from sodium carbonate and forms caustic soda, na_{ }co_{ } + h_{ }o = naho + co_{ }. here the carbonic anhydride is replaced by water; this depends on the feebly acid character of carbonic anhydride. by direct heating, sodium carbonate is only slightly decomposed into sodium oxide and carbonic anhydride; thus, when sodium carbonate is fused, about per cent. of carbonic anhydride is disengaged.[ ] the carbonates of many other metals--for instance, of calcium, copper, magnesium, iron, &c.--on being heated lose all their carbonic anhydride. this shows the considerable basic energy which sodium possesses. with the soluble salts of most metals, sodium carbonate gives precipitates either of insoluble carbonates of the metals, or else of the hydroxides (in this latter case carbonic anhydride is disengaged); for instance, with barium salts it precipitates an insoluble barium carbonate (bacl_{ } + na_{ }co_{ } = nacl + baco_{ }) and with the aluminium salts it precipitates aluminium hydroxide, carbonic anhydride being disengaged: na_{ }co_{ } + al_{ }(so_{ })_{ } + h_{ }o = na_{ }so_{ } + al(oh)_{ } + co_{ }. sodium carbonate, like all the salts of carbonic acid, evolves carbonic anhydride on treatment with all acids which are to any extent energetic. but if an acid diluted with water be gradually added to a solution of sodium carbonate, _at first_ such an evolution does not take place, because the excess of the carbonic anhydride forms acid sodium carbonate (sodium bicarbonate), nahco_{ }.[ ] the acid sodium carbonate is an unstable salt. not only when heated alone, but even on being slightly heated in solution, and also at the ordinary temperature in damp air, it loses carbonic anhydride and forms the normal salt. and at the same time it is easy to obtain it in a pure crystalline form, if a strong solution of sodium carbonate be cooled and a stream of carbonic anhydride gas passed through it. the acid salt is less soluble in water than the normal,[ ] and therefore a strong solution of the latter gives crystals of the acid salt if carbonic anhydride be passed through it. the acid salt may be yet more conveniently formed from effloresced crystals of sodium carbonate, which, on being considerably heated, very easily absorb carbonic anhydride.[ ] the acid salt crystallises well, but not, however, in such large crystals as the normal salt; it has a brackish and not an alkaline taste like that of the normal salt; its reaction is feebly alkaline, nearly neutral. at ° its solution begins to lose carbonic anhydride, and on boiling the evolution becomes very abundant. from the preceding remarks it is clear that in most reactions this salt, especially when heated, acts similarly to the normal salt, but has, naturally, some distinction from it. thus, for example, if a solution of sodium carbonate be added to a normal magnesium salt, a turbidity (precipitate) is formed of magnesium carbonate. mgco_{ }. no such precipitate is formed by the acid salt, because magnesium carbonate is soluble in the presence of an excess of carbonic anhydride. [ ] according to the observations of pickering. according to rose, when solutions of sodium carbonate are boiled a certain amount of carbonic anhydride is disengaged. [ ] the composition of this salt, however, may be also represented as a combination of carbonic acid, h_{ }co_{ }, with the normal salt, na_{ }co_{ }, just as the latter also combines with water. such a combination is all the more likely because ( ) there exists another salt, na_{ }co_{ }, nahco_{ }, h_{ }o (sodium sesquicarbonate), obtained by cooling a boiling solution of sodium bicarbonate, or by mixing this salt with the normal salt; but the formula of this salt cannot be derived from that of normal carbonic acid, as the formula of the bicarbonate can. at the same time the sesqui-salt has all the properties of a definite compound; it crystallises in transparent crystals, has a constant composition, its solubility (at ° in of water, · of anhydrous salt) differs from the solubility of the normal and acid salts; it is found in nature, and is known by the names of _trona_ and _urao_. the observations of watts and richards showed ( ) that on pouring a strong solution of the acid salt into a solution of the normal salt saturated by heating, crystals of the salt nahco_{ },na_{ }co_{ }, h_{ }o may be easily obtained, as long as the temperature is above °. the natural urao (boussingault) has, according to laurent, the same composition. this salt is very stable in air, and may be used for purifying sodium carbonate on the large scale. such compounds have been little studied from a theoretical point of view, although particularly interesting, since in all probability they correspond with ortho-carbonic acid, c(oh)_{ }, and at the same time correspond with double salts like astrakhanite (chapter xiv., note ). ( ) water of crystallisation does not enter into the composition of the crystals of the acid salt, so that on its formation (occurring only at low temperatures, as in the formation of crystalline compounds with water) the water of crystallisation of the normal salt separates and the water is, as it were, replaced by the elements of carbonic acid. if anhydrous sodium carbonate be mixed with the amount of water requisite for the formation of na_{ }co_{ },h_{ }o, this salt will, when powdered, absorb co_{ } as easily at the ordinary temperature as it does water. [ ] parts of water at ° dissolve parts of the acid salt, which corresponds with · parts of the anhydrous normal salt, but at ° parts of water dissolve parts of the latter. the solubility of the bi-or acid salt varies with considerable regularity; parts of water dissolves at ° parts of the salt, at ° parts. the ammonium, and more especially the calcium, salt, is much more soluble in water. the ammonia process (_see_ p. ) is founded upon this. ammonium bicarbonate (acid carbonate) at ° has a solubility of parts in water, at ° of parts. the solubility therefore increases very rapidly with the temperature. and its saturated solution is more stable than a solution of sodium bicarbonate. in fact, saturated solutions of these salts have a gaseous tension like that of a mixture of carbonic anhydride and water--namely, at ° and at °, for the sodium salt and millimetres, for the ammonium salt and millimetres. these data are of great importance in understanding the phenomena connected with the ammonia process. they indicate that with an increased pressure the formation of the sodium salt ought to increase if there be an excess of ammonium salt. [ ] crystalline sodium carbonate (broken into lumps) also absorbs carbonic anhydride, but the water contained in the crystals is then disengaged: na_{ }co_{ }, h_{ }o + co_{ } = na_{ }co_{ },h_{ }co_{ } + h_{ }o, and dissolves part of the carbonate; therefore part of the sodium carbonate passes into solution together with all the impurities. when it is required to avoid the formation of this solution, a mixture of ignited and crystalline sodium carbonate is taken. sodium bicarbonate is prepared chiefly for medicinal use, and is then often termed _carbonate of soda_, also, for instance, in the so-called soda powders, for preparing certain artificial mineral waters, for the manufacture of digestive lozenges like those made at essentuki, vichy, &c. sodium carbonate is used for the preparation of _caustic soda_[ ]--that is, the hydrate of sodium oxide, or the alkali which corresponds to sodium. for this purpose the action of lime on a solution of sodium carbonate is generally made use of. the process is as follows: a weak, generally per cent., solution of sodium carbonate is taken,[ ] and boiled in a cast-iron, wrought-iron, or silver boiler (sodium hydroxide does not act on these metals), and lime is added, little by little, during the boiling. this latter is soluble in water, although but very slightly. the clear solution becomes turbid on the addition of the lime because a precipitate is formed; this precipitate consists of calcium carbonate, almost insoluble in water, whilst caustic soda is formed and remains in solution. the decomposition is effected according to the equation: na_{ }co_{ } + ca(ho)_{ } = caco_{ } + naho. on cooling the solution the calcium carbonate easily settles as a precipitate, and the clear solution or alkali above it contains the easily soluble sodium hydroxide formed in the reaction.[ ] after the necessary quantity of lime has been added, the solution is allowed to stand, and is then decanted off and evaporated in cast or wrought iron boilers, or in silver pans if a perfectly pure product is required.[ ] the evaporation cannot be conducted in china, glass, or similar vessels, because caustic soda attacks these materials, although but slightly. the solution does not crystallise on evaporation, because the solubility of caustic soda when hot is very great, but crystals containing water of crystallisation may be obtained by cooling. if the evaporation of the alkali be conducted until the specific gravity reaches · , and the liquid is then cooled to °, transparent crystals appear containing naho, h_{ }o; they fuse at + °.[ ] if the evaporation be conducted so long as water is disengaged, which requires a considerable amount of heat, then, on cooling, the hydroxide, naho, solidifies in a semi-transparent crystalline mass,[ ] which eagerly absorbs moisture and carbonic anhydride from the air.[ ] its specific gravity is · ;[ ] it is easily soluble in water, with disengagement of a considerable quantity of heat.[ ] a saturated solution at the ordinary temperature has a specific gravity of about · , contains about per cent. of sodium hydroxide, and boils at °; at ° water dissolves an equal weight of it.[ ] caustic soda is not only soluble in water but in alcohol, and even in ether. dilute solutions of sodium hydroxide produce a soapy feeling on the skin because the active base of soap consists of caustic soda.[ ] strong solutions have a corroding action. [ ] in chemistry, sodium oxide is termed 'soda,' which word must be carefully distinguished from the word sodium, meaning the metal. [ ] with a small quantity of water, the reaction either does not take place, or even proceeds in the reverse way--that is, sodium and potassium hydroxides remove carbonic anhydride from calcium carbonate (liebig, watson, mitscherlich, and others). the influence of the mass of water is evident. according to gerberts, however, strong solutions of sodium carbonate are decomposed by lime, which is very interesting if confirmed by further investigation. [ ] as long as any undecomposed sodium carbonate remains in solution, excess of acid added to the solution disengages carbonic anhydride, and the solution after dilution gives a white precipitate with a barium salt soluble in acids, showing the presence of a carbonate in solution (if there be sulphate present, it also forms a white precipitate, but this is insoluble in acids). for the decomposition of sodium carbonate, milk of lime--that is, slaked slime suspended in water--is employed. formerly pure sodium hydroxide was prepared (according to berthollet's process) by dissolving the impure substance in alcohol (sodium carbonate and sulphate are not soluble), but now that metallic sodium has become cheap and is purified by distillation, _pure caustic soda_ is prepared by acting on a small quantity of water with sodium. perfectly pure sodium hydroxide may also be obtained by allowing strong solutions to crystallise (in the cold) (note ). in alkali works where the leblanc process is used, caustic soda is prepared directly from the alkali remaining in the mother liquors after the separation of the sodium carbonate by evaporation (note ). if excess of lime and charcoal have been used, much sodium hydroxide maybe obtained. after the removal as much as possible of the sodium carbonate, a red liquid (from iron oxide) is left, containing sodium hydroxide mixed with compounds of sulphur and of cyanogen (_see_ chapter ix.) and also containing iron. this red alkali is evaporated and air is blown through it, which oxidises the impurities (for this purpose sometimes sodium nitrate is added, or bleaching powder, &c.) and leaves fused caustic soda. the fused mass is allowed to settle in order to separate the ferruginous precipitate, and poured into iron drums, where the sodium hydroxide solidifies. such caustic soda contains about p.c. of water in excess and some saline impurities, but when properly manufactured is almost free from carbonate and from iron. the greater part of the caustic soda, which forms so important an article of commerce, is manufactured in this manner. [ ] löwig gave a method of preparing sodium hydroxide from sodium carbonate by heating it to a dull red heat with an excess of ferric oxide. carbonic anhydride is given off, and warm water extracts the caustic soda from the remaining mass. this reaction, as experiment shows, proceeds very easily, and is an example of contact action similar to that of ferric oxide on the decomposition of potassium chlorate. the reason of this may be that a small quantity of the sodium carbonate enters into double decomposition with the ferric oxide, and the ferric carbonate produced is decomposed into carbonic anhydride and ferric oxide, the action of which is renewed. similar explanations expressing the _reason_ for a reaction really adds but little to that elementary conception of contact which, according to my opinion, consists in the change of motion of the atoms in the molecules under the influence of the substance in contact. in order to represent this clearly it is sufficient, for instance, to imagine that in the sodium carbonate the elements co_{ } move in a circle round the elements na_{ }o, but at the points of contact with fe_{ }o_{ } the motion becomes elliptic with a long axis, and at some distance from na_{ }o the elements of co_{ } are parted, not having the faculty of attaching themselves to fe_{ }o_{ }. [ ] by allowing strong solutions of sodium hydroxide to crystallise in the cold, impurities--such as, for instance, sodium sulphate--may be separated from them. the fused crystallo-hydrate naho, h_{ }o forms a solution having a specific gravity of · (hermes). the crystals on dissolving in water produce cold, while naho produces heat. besides which pickering obtained hydrates with , , , , and h_{ }o. [ ] in solid caustic soda there is generally an excess of water beyond that required by the formula naho. the caustic soda used in laboratories is generally cast in sticks, which are broken into pieces. it must be preserved in carefully closed vessels, because it absorbs water and carbonic anhydride from the air. [ ] by the way it changes in air it is easy to distinguish caustic soda from caustic potash, which in general resembles it. both alkalis absorb water and carbonic anhydride from the air, but caustic potash forms a deliquescent mass of potassium carbonate, whilst caustic soda forms a dry powder of efflorescent salt. [ ] as the molecular weight of naho = , the volume of its molecule = / · = · , which very nearly approaches the volume of a molecule of water. the same rule applies to the compounds of sodium in general--for instance, its salts have a molecular volume approaching the volume of the acids from which they are derived. [ ] the molecular quantity of sodium hydroxide ( grams), on being dissolved in a large mass ( gram molecules) of water, develops, according to berthelot , , and according to thomsen , , heat-units, but at ° about , (berthelot). solutions of naho + _n_h_{ }o, on being mixed with water, evolve heat if they contain less than h_{ }o, but if more they absorb beat. [ ] the specific gravity of solutions of sodium hydroxide at °/ ° is given in the short table below:-- naho, p.c. sp. gr. · · · · · · , grams of a p.c. solution occupies a volume of c.c.; that is, less than the water serving to make the solution (_see_ note ). [ ] sodium hydroxide and some other alkalis are capable of hydrolysing--saponifying, as it is termed--the compounds of acids with alcohols. if rho (or r(ho)_{_n_}) represent the composition of an alcohol--that is, of the hydroxide of a hydrocarbon radicle--and qho an acid, then the compound of the acid with the alcohol or ethereal salt of the given acid will have the composition rqo. ethereal salts, therefore, present a likeness to metallic salts, just as alcohols resemble basic hydroxides. sodium hydroxide acts on ethereal salts in the same way that it acts on the majority of metallic salts--namely, it liberates alcohol, and forms the sodium salt of that acid which was in the ethereal salt. the reaction takes place in the following way:-- rqo + naho = naqo + rho ethereal caustic sodium alcohol salt soda salt such a decomposition is termed saponification; similar reactions were known very long ago for the ethereal salts corresponding with glycerin, c_{ }h_{ }(oh)_{ } (chapter ix.), found in animals and plants, and composing what are called fats or oils. caustic soda, acting on fat and oil, forms glycerin, and sodium salts of those acids which were in union with the glycerin in the fat, as chevreul showed at the beginning of this century. the sodium salts of the fatty acids are commonly known as soaps. that is to say, soap is made from fat and caustic soda, glycerin being separated and a sodium salt or soap formed. as glycerin is usually found in union with certain acids, so also are the sodium salts of the same acids found in soap. the greater part of the acids found in conjunction with glycerin in fats are the solid palmitic and stearic acids, c_{ }h_{ }o_{ } and c_{ }h_{ }o_{ }, and the liquid oleic acid, c_{ }h_{ }o_{ }. in preparing soap the fatty substances are mixed with a solution of caustic soda until an emulsion is formed; the proper quantity of caustic soda is then added in order to produce saponification on heating, the soap being separated from the solution either by means of an excess of caustic soda or else by common salt, which displaces the soap from the aqueous solution (salt water does not dissolve soap, neither does it form a lather). water acting on soap partly decomposes it (because the acids of the soap are feeble), and the alkali set free acts during the application of soap. hence it may be replaced by a very feeble alkali. strong solutions of alkali corrode the skin and tissues. they are not formed from soap, because the reaction is reversible, and the alkali is only set free by the excess of water. thus we see how the teaching of berthollet renders it possible to understand many phenomena which occur in every-day experience (_see_ chapter ix., note ). the chemical _reactions of sodium hydroxide_ serve as a type for those of a whole class of alkalis--that is, of soluble basic hydroxides, moh. the solution of sodium hydroxide is a very caustic liquid--that is to say, it acts in a destructive way on most substances, for instance on most organic tissues--hence caustic soda, like all soluble alkalis, is a poisonous substance; acids, for example hydrochloric, serve as antidotes. the action of caustic soda on bones, fat, starch, and similar vegetable and animal substances explains its action on organisms. thus bones, when plunged into a weak solution of caustic soda, fall to powder,[ ] and evolve a smell of ammonia, owing to the caustic soda changing the gelatinous organic substance of the bones (which contains carbon, hydrogen, nitrogen, oxygen, and sulphur, like albumin), dissolving it and in part destroying it, whence ammonia is disengaged. fats, tallow, and oils become saponified by a solution of caustic soda--that is to say, they form with it _soaps_ soluble in water, or sodium salts of the organic acids contained in the fats.[ ] the most characteristic reactions of sodium hydroxide are determined by the fact that it _saturates all acids, forming salts with them_, which are almost all soluble in water, and in this respect caustic soda is as characteristic amongst the bases as nitric acid is among the acids. it is impossible to detect sodium by means of the formation of precipitates of insoluble sodium salts, as may be done with other metals, many of whose salts are but slightly soluble. the powerful alkaline properties of caustic soda determine its capacity for combining with even the feeblest acids, its property of disengaging ammonia from ammonium salts, its faculty of forming precipitates from solutions of salts whose bases are insoluble in water, &c. if a solution of the salt of almost any metal be mixed with caustic soda, then a soluble sodium salt will be formed, and an insoluble hydroxide of the metal will be separated--for instance, copper nitrate yields copper hydroxide, cu(no_{ })_{ } + naho = cu(ho)_{ } + nano_{ }. even many _basic oxides_ precipitated by caustic soda _are capable_ of _combining_ with it and forming soluble compounds, and therefore caustic soda in the presence of salts of such metals first forms a precipitate of hydroxide, and then, employed in excess, dissolves this precipitate. this phenomenon occurs, for example, when caustic soda is added to the salts of aluminium. this shows the property of such an alkali as caustic soda of combining not only with acids, but also with feeble basic oxides. for this reason caustic soda _acts on most elements_ which are capable of forming acids or oxides similar to them; thus the metal aluminium gives hydrogen with caustic soda in consequence of the formation of alumina, which combines with the caustic soda--that is, in this case, the caustic alkali acts on the metal just as sulphuric acid does on fe or zn. if caustic soda acts in this manner on a metalloid capable of combining with the hydrogen evolved (aluminium does not give a compound with hydrogen), then it forms such a hydrogen compound. thus, for instance, phosphorus acts in this way on caustic soda, yielding hydrogen phosphide. when the hydrogen compound disengaged is capable of combining with the alkali, then, naturally, a salt of the corresponding acid is formed. for example, chlorine and sulphur act in this way on caustic soda. chlorine, with the hydrogen of the caustic soda, forms hydrochloric acid, and the latter forms common salt with the sodium hydroxide, whilst the other atom in the molecule of chlorine, cl_{ }, takes the place of the hydrogen, and forms the hypochlorite, naclo. in the same way, by the action of sodium hydroxide on sulphur, hydrogen sulphide is formed, which acts on the soda forming sodium _sulphide_, in addition to which sodium thiosulphate is formed (_see_ chapter xx.) by virtue of such reactions, sodium hydroxide acts on many metals and non-metals. such action is often accelerated by the presence of the oxygen of the air, as by this means the formation of acids and oxides rich in oxygen is facilitated. thus many metals and their lower oxides, in the presence of an alkali, absorb oxygen and form acids. even manganese peroxide, when mixed with caustic soda, is capable of absorbing the oxygen of the air, and forming sodium manganate. organic acids when heated with caustic soda give up to it the elements of carbonic anhydride, forming sodium carbonate, and separating that hydrocarbon group which exists, in combination with carbonic anhydride, in the organic acid. [ ] on this is founded the process of henkoff and engelhardt for treating bones. the bones are mixed with ashes, lime, and water; it is true that in this case more potassium hydroxide than sodium hydroxide is formed, but their action is almost identical. [ ] as explained in note . thus sodium hydroxide, like the soluble alkalis in general, ranks amongst the most active substances in the chemical sense of the term, and but few substances are capable of resisting it. even siliceous rocks, as we shall see further on, are transformed by it, forming when fused with it vitreous slags. sodium hydroxide (like ammonium and potassium hydroxides), as a typical example of the basic hydrates, in distinction from many other basic oxides, easily _forms acid salts_ with acids (for instance, nahso_{ }, nahco_{ }), and does not form any basic salts at all; whilst many less energetic bases, such as the oxides of copper and lead, easily form basic salts, but acid salts only with difficulty. this capability of forming acid salts, particularly with polybasic acids, may be explained by the energetic basic properties of sodium hydroxide, contrasted with the small development of these properties in the bases which easily form basic salts. an energetic base is capable of retaining a considerable quantity of acid, which a slightly energetic base would not have the power of doing. also, as will be shown in the subsequent chapters, sodium belongs to the univalent metals, being exchangeable for hydrogen atom for atom--that is, amongst metals sodium may, like chlorine amongst the non-metals, serve as the representative of the univalent properties. most of the elements which are not capable of forming acid salts are bivalent. whence it may be understood that in a bibasic acid--for instance, carbonic, h_{ }co_{ }, or sulphuric, h_{ }so_{ }--the hydrogen may be exchanged, atom for atom, for sodium, and yield an acid salt by means of the first substitution, and a normal salt by means of the second--for instance, nahso_{ }, and na_{ }so_{ }, whilst such bivalent metals as calcium and barium do not form acid salts because one of their atoms at once takes the place of both hydrogen atoms, forming, for example, caco_{ } and caso_{ }.[ bis] [ bis] it might be expected, from what has been mentioned above, that bivalent metals would easily form acid salts with acids containing more than two atoms of hydrogen--for instance, with tribasic acids, such as phosphoric acid, h_{ }po_{ }--and actually such salts do exist; but all such relations are complicated by the fact that the character of the base very often changes and becomes weakened with the increase of valency and the change of atomic weight; the feebler bases (like silver oxide), although corresponding with univalent metals, do not form acid salts, while the feeblest bases (cuo, pbo, &c.) easily form basic salts, and notwithstanding their valency do not form acid salts which are in any degree stable--that is, which are undecomposable by water. basic and acid salts ought to be regarded rather as compounds similar to crystallo-hydrates, because such acids as sulphuric form with sodium not only an acid and a normal salt, as might be expected from the valency of sodium, but also salts containing a greater quantity of acid. in sodium sesquicarbonate we saw an example of such compounds. taking all this into consideration, we must say that the property of more or less easily forming acid salts depends more upon the energy of the base than upon its valency, and the best statement is that _the capacity of a base for forming acid and basic salts is characteristic_, just as the faculty of forming compounds with hydrogen is characteristic of elements. we have seen the transformation of common salt into sodium sulphate, of this latter into sodium carbonate, and of sodium carbonate into caustic soda. lavoisier still regarded sodium hydroxide as an element, because he was unacquainted with its decomposition with the formation of metallic sodium, which separates the hydrogen from water, reforming caustic soda. the preparation of _metallic sodium_ was one of the greatest discoveries in chemistry, not only because through it the conception of elements became broader and more correct, but especially because in sodium, chemical properties were observed which were but feebly shown in the other metals more familiarly known. this discovery was made in by the english chemist _davy_ by means of the galvanic current. by connecting with the positive pole (of copper or carbon) a piece of caustic soda (moistened in order to obtain electrical conductivity), and boring a hole in it filled with mercury connected with the negative pole of a strong volta's pile, davy observed that on passing the current a peculiar metal dissolved in the mercury, less volatile than mercury, and capable of decomposing water, again forming caustic soda. in this way (by analysis and synthesis) davy demonstrated the compound nature of alkalis. on being decomposed by the galvanic current, caustic soda disengages hydrogen and sodium at the negative pole and oxygen at the positive pole. davy showed that the metal formed volatilises at a red heat, and this is its most important physical property in relation to its extraction, all later methods being founded on it. besides this davy observed that sodium easily oxidises, its vapour taking fire in air, and the latter circumstance was for a long time an obstacle to the easy preparation of this metal. the properties of sodium were subsequently more thoroughly investigated by gay-lussac and thénard, who observed that metallic iron at a high temperature was capable of reducing caustic soda to sodium.[ ] brunner latterly discovered that not only iron, but also charcoal, has this property, although hydrogen has not.[ ] but still the methods of extracting sodium were very troublesome, and consequently it was a great rarity. the principal obstacle to its production was that an endeavour was made to condense the easily-oxidising vapours of sodium in vacuo in complicated apparatus. for this reason, when donny and maresca, having thoroughly studied the matter, constructed a specially simple condenser, the production of sodium was much facilitated. furthermore, in practice the most important epoch in the history of the production of sodium is comprised in the investigation of sainte-claire deville, who avoided the complex methods in vogue up to that time, and furnished those simple means by which the production of sodium is now rendered feasible in chemical works. [ ] deville supposes that such a decomposition of sodium hydroxide by metallic iron depends solely on the dissociation of the alkali at a white heat into sodium, hydrogen, and oxygen. here the part played by the iron is only that it retains the oxygen formed, otherwise the decomposed elements would again reunite upon cooling, as in other cases of dissociation. if it be supposed that the temperature at the commencement of the dissociation of the iron oxides is higher than that of sodium oxide, then the decomposition may be explained by deville's hypothesis. deville demonstrates his views by the following experiment:--an iron bottle, filled with iron borings, was heated in such a way that the upper part became red hot, the lower part remaining cooler; sodium hydroxide was introduced into the upper part. the decomposition was then effected--that is, sodium vapours were produced (this experiment was really performed with potassium hydroxide). on opening the bottle it was found that the iron in the upper part was not oxidised, but only that in the lower part. this may be explained by the decomposition of the alkali into sodium, hydrogen, and oxygen taking place in the upper part, whilst the iron in the lower part absorbed the oxygen set free. if the whole bottle be subjected to the same moderate heat as the lower extremity, no metallic vapours are formed. in that case, according to the hypothesis, the temperature is insufficient for the dissociation of the sodium hydroxide. [ ] it has been previously remarked (chapter ii. note ) that beketoff showed the displacement of sodium by hydrogen, not from sodium hydroxide but from the oxide na_{ }o; then, however, only one half is displaced, with the formation of naho. for the production of sodium according to deville's method, a mixture of anhydrous sodium carbonate ( parts), charcoal (two parts), and lime or chalk ( parts) is heated. this latter ingredient is only added in order that the sodium carbonate, on fusing, shall not separate from the charcoal.[ ] the chalk on being heated loses carbonic anhydride, leaving infusible lime, which is permeated by the sodium carbonate and forms a thick mass, in which the charcoal is intimately mixed with the sodium carbonate. when the charcoal is heated with the sodium carbonate, at a white heat, carbonic oxide and vapours of sodium are disengaged, according to the equation: na_{ }co_{ } + c = na_{ } + co [ ] since the close of the eighties in england, where the preparation of sodium is at present carried out on a large commercial scale (from to it was only manufactured in a few works in france), it has been the practice to add to deville's mixture iron, or iron oxide which with the charcoal gives metallic and carburetted iron, which still further facilitates the decomposition. at present a kilogram of sodium may be purchased for about the same sum ( /-) as a gram cost thirty years ago. castner, in england, greatly improved the manufacture of sodium in large quantities, and so cheapened it as a reducing agent in the preparation of metallic aluminium. he heated a mixture of parts of naho, and parts of carbide of iron in large iron retorts at , ° and obtained about - / parts of metallic sodium. the reaction proceeds more easily than with carbon or iron alone, and the decomposition of the naho proceeds according to the equation: naho + c = na_{ }co_{ } + h + na. subsequently, in , aluminium was prepared by electrolysis (_see_ chapter xvii.), and metallic sodium found two new uses; ( ) for the manufacture of peroxide of sodium (see later on) which is used in bleaching works, and ( ) in the manufacture of potassium and sodium cyanide from yellow prussiate (chapter xiii., note ). [illustration: fig. .--manufacture of sodium by deville's process. a c, iron tube containing a mixture of soda, charcoal, and chalk. b, condenser.] on cooling the vapours and gases disengaged, the vapours condense into molten metal (in this form sodium does not easily oxidise, whilst in vapour it burns) and the carbonic oxide remains as gas. [illustration: fig. .--donny and maresca's sodium condenser, consisting of two cast-iron plates screwed together.] in sodium works an iron tube, about a metre long and a decimeter in diameter, is made out of boiler plate. the pipe is luted into a furnace having a strong draught, capable of giving a high temperature, and the tube is charged with the mixture required for the preparation of sodium. one end of the tube is closed with a cast-iron stopper a with clay luting, and the other with the cast-iron stopper c provided with an aperture. on heating, first of all the moisture contained in the various substances is given off, then carbonic anhydride and the products of the dry distillation of the charcoal, then the latter begins to act on the sodium carbonate, and carbonic oxide and vapours of sodium appear. it is easy to observe the appearance of the latter, because on issuing from the aperture in the stopper c they take fire spontaneously and burn with a very bright yellow flame. a pipe is then introduced into the aperture c, compelling the vapours and gases formed to pass through the condenser b. this condenser consists of two square cast-iron trays, a and a´, fig. , with wide edges firmly screwed together. between these two trays there is a space in which the condensation of the vapours of sodium is effected, the thin metallic walls of the condenser being cooled by the air but remaining hot enough to preserve the sodium in a liquid state, so that it does not choke the apparatus, but continually flows from it. the vapours of sodium, condensing in the cooler, flow in the shape of liquid metal into a vessel containing some non-volatile naphtha or hydrocarbon. this is used in order to prevent the sodium oxidising as it issues from the condenser at a somewhat high temperature. in order to obtain sodium of a pure quality it is necessary to distil it once more, which may even be done in porcelain retorts, but the distillation must be conducted in a stream of some gas on which sodium does not act, for instance in a stream of nitrogen; carbonic anhydride is not applicable, because sodium partially decomposes it, absorbing oxygen from it. although the above described methods of preparing sodium by chemical means have proved very convenient in practice, still it is now (since ) found profitable in england to obtain it (to the amount of several tons a week) by davy's classical method, _i.e._ by the action of an electric current at a moderately high temperature, because the means for producing an electric current (by motors and dynamos) now render this quite feasible. this may be regarded as a sign that in process of time many other technical methods for producing various substances by _decomposition_ may be profitably carried on by electrolysis. pure sodium is a lustrous metal, white as silver, soft as wax; it becomes brittle in the cold. in ordinary moist air it quickly tarnishes and becomes covered with a film of hydroxide, naho, formed at the expense of the water in the air. in perfectly dry air sodium retains its lustre for an indefinite time. its density at the ordinary temperature is equal to · , so that it is lighter than water; it fuses very easily at a temperature of °, and distils at a bright red heat ( ° according to perman, ). scott ( ) determined the density of sodium vapour and found it to be nearly (if h = ). this shows that its molecule contains one atom (like mercury and cadmium) na.[ bis] it forms alloys with most metals, combining with them, heat being sometimes evolved and sometimes absorbed. thus, if sodium (having a clean surface) be thrown into mercury, especially when heated, there is a flash, and such a considerable amount of heat is evolved that part of the mercury is transformed into vapour.[ ] compounds or solutions of sodium in mercury, or _amalgams_ of sodium, even when containing parts of sodium to parts of mercury, are solids. only those amalgams which are the very poorest in sodium are liquid. such alloys of sodium with mercury are often used instead of sodium in chemical investigations, because in combination with mercury sodium is not easily acted on by air, and is heavier than water, and therefore more convenient to handle, whilst at the same time it retains the principal properties of sodium,[ ] for instance it decomposes water, forming naho. [ bis] this is also shown by the fall in the temperature of solidification of tin produced by the addition of sodium (and also al and zn). heycock and neville ( ). [ ] by dissolving sodium amalgams in water and acids, and deducting the heat of solution of the sodium, berthelot found that _for each atom of the sodium_ in amalgams containing a larger amount of mercury than nahg_{ }, the amount of heat evolved increases, after which the heat of formation falls, and the heat evolved decreases. in the formation of nahg_{ } about , calories are evolved; when nahg_{ } is formed, about , ; and for nahg about , calories. kraft regarded the definite crystalline amalgam as having the composition of nahg_{ }, but at the present time, in accordance with grimaldi's results, it is thought to be nahg_{ }. a similar amalgam is very easily obtained if a p.c. amalgam be left several days in a solution of sodium hydroxide until a crystalline mass is formed, from which the mercury may be removed by strongly pressing in chamois leather. this amalgam with a solution of potassium hydroxide forms a potassium amalgam, khg_{ }. it may be mentioned here that the latent heat of fusion (of atomic quantities) of hg = (personne), na = (joannis), and k = calories (joannis). [ ] alloys are so similar to solutions (exhibiting such complete parallelism in properties) that they are included in the same class of so-called indefinite compounds. but in alloys, as substances passing from the liquid to the solid state, it is easier to discover the formation of definite chemical compounds. besides the alloys of na with hg, those with tin (bailey found na_{ }sn), lead (napb), bismuth (na_{ }bi), &c. (joannis and others) have been investigated. it is easy to form an alloy of mercury and sodium having a crystalline structure, and a definite atomic composition, nahg_{ }. the alloy of sodium with hydrogen or _sodium hydride_, na_{ }h, which has the external appearance of a metal,[ ] is a most instructive example of the characteristics of alloys. at the ordinary temperature sodium does not absorb hydrogen, but from ° to ° the absorption takes place at the ordinary pressure (and at an increased pressure even at higher temperatures), as shown by troost and hautefeuille ( ). one volume of sodium absorbs as much as volumes of hydrogen. the metal increases in volume, and when once formed the alloy can be preserved for some time without change at the ordinary temperature. the appearance of sodium hydride resembles that of sodium itself; it is as soft as this latter, when heated it becomes brittle, and decomposes above °, evolving hydrogen. in this decomposition all the phenomena of dissociation are very clearly shown--that is, the hydrogen gas evolved has a definite tension[ ] corresponding with each definite temperature. this confirms the fact that the formation of substances capable of dissociation can only be accomplished within the dissociation limits. sodium hydride melts more easily than sodium itself, and then does not undergo decomposition if it is in an atmosphere of hydrogen. it oxidises easily in air, but not so easily as potassium hydride. the chemical reactions of sodium are retained in its hydride, and, if we may so express it, they are even increased by the addition of hydrogen. at all events, in the properties of sodium hydride[ ] we see other properties than in such hydrogen compounds as hcl, h_{ }o, h_{ }n, h_{ }c, or even in the gaseous metallic hydrides ash_{ }, teh_{ }. platinum, palladium, nickel, and iron, in absorbing hydrogen form compounds in which hydrogen is in a similar state. in them, as in sodium hydride, the hydrogen is compressed, absorbed, occluded (chapter ii.)[ bis] [ ] potassium forms a similar compound, but lithium, under the same circumstances, does not. [ ] the tension of dissociation of hydrogen _p_, in millimetres of mercury, is:-- _t_ = ° ° ° ° for na_{ }h _p_ = for k_{ }h [ ] in general, during the formation of alloys the volumes change very slightly, and therefore from the volume of na_{ }h some idea may be formed of the volume of hydrogen in a solid or liquid state. even archimedes concluded that there was gold in an alloy of copper and gold by reason of its volume and density. from the fact that the density of na_{ }h is equal to · , it may be seen that the volume of grams (the gram molecule) of this compound = · c.c. the volume of grams of sodium contained in the na_{ }h (the density under the same conditions being · ) is equal to · c.c. therefore the volume of gram of hydrogen in na_{ }h is equal to · c.c., and consequently the density of metallic hydrogen, or the weight of c.c., approaches · gram. this density is also proper to the hydrogen alloyed with potassium and palladium. judging from the scanty information which is at present available, liquid hydrogen near its absolute boiling point (chapter ii.) has a much lower density. [ bis] we may remark that at low temperatures na absorbs nh_{ } and forms (nh_{ }na)_{ } (_see_ chapter vi., note ); this substance absorbs co and gives (naco)n (chapter ix., note ), although by itself na does not combine directly with co (but k does). the most important chemical property of sodium is its power of easily decomposing water and _evolving hydrogen_ from the majority of the hydrogen compounds, and especially from all acids, and hydrates in which hydroxyl must be recognised. this depends on its power of combining with the elements which are in combination with the hydrogen. we already know that sodium disengages hydrogen, not only from water, hydrochloric acid,[ ] and all other acids, but also from ammonia,[ bis] with the formation of sodamide nh_{ }na, although it does not displace hydrogen from the hydrocarbons.[ ] sodium burns both in chlorine and in oxygen, evolving much heat. these properties are closely connected with its power of taking up oxygen, chlorine, and similar elements from most of their compounds. just as it removes the oxygen from the oxides of nitrogen and from carbonic anhydride, so also does it decompose the majority of oxides at definite temperatures. here the action is essentially the same as in the decomposition of water. thus, for instance, when acting on magnesium chloride the sodium displaces the magnesium, and when acting on aluminium chloride it displaces metallic aluminium. sulphur, phosphorus, arsenic and a whole series of other elements, also combine with sodium.[ ] [ ] h. a. schmidt remarked that perfectly dry hydrogen chloride is decomposed with great difficulty by sodium, although the decomposition proceeds easily with potassium and with sodium in moist hydrogen chloride. wanklyn also remarked that sodium burns with great difficulty in dry chlorine. probably these facts are related to other phenomena observed by dixon, who found that perfectly dry carbonic oxide does not explode with oxygen on passing an electric spark. [ bis] sodamide, nh_{ }na, (chapter iv., note ), discovered by gay-lussac and thénard, has formed the object of repeated research, but has been most fully investigated by a. w. titherley ( ). until recently the following was all that was known about this compound:-- by heating sodium in dry ammonia, gay-lussac and thénard obtained an olive-green, easily-fusible mass, _sodamide_, nh_{ }na, hydrogen being separated. this substance with water forms sodium hydroxide and ammonia; with carbonic oxide, co, it forms sodium cyanide, nacn, and water, h_{ }o; and with dry hydrogen chloride it forms sodium and ammonium chlorides. these and other reactions of sodamide show that the metal in it preserves its energetic properties in reaction, and that this compound of sodium is more stable than the corresponding chlorine amide. when heated, sodamide, nh_{ }na, only partially decomposes, with evolution of hydrogen, the principal part of it giving ammonia and sodium nitride, na_{ }n, according to the equation nh_{ }na = nh_{ } + nna_{ }. the latter is an almost black powdery mass, decomposed by water into ammonia and sodium hydroxide. titherley's researches added the following data:-- iron or silver vessels should be used in preparing this body, because glass and porcelain are corroded at °- °, at which temperature ammonia gas acts upon sodium and forms the amide with the evolution of hydrogen. the reaction proceeds slowly, but is complete if there be an excess of nh_{ }. pure nh_{ }na is colourless (its colouration is due to various impurities), semi-transparent, shows traces of crystallisation, has a conchoidal fracture, and melts at °. judging from the increase in weight of the sodium and the quantity of hydrogen which is disengaged, the composition of the amide is exactly nh_{ }na. it partially volatilises (sublimes) in vacuo at °, and breaks up into na + n_{ } + h_{ } at °. the same amide is formed when oxide of sodium is heated in nh_{ }: na_{ }o + nh_{ } = nah_{ }n + h_{ }o. naho is also formed to some extent by the resultant h_{ }o. potassium and lithium form similar amides. with water, alcohol, and acids, nh_{ }na gives nh_{ } and naho, which react further. anhydrous cao absorbs nh_{ }na when heated without decomposing it. when sodamide is heated with sio_{ }, nh_{ } is disengaged, and silicon nitride formed. it acts still more readily upon boric anhydride when heated with it: nh_{ }na + b_{ }o_{ } = bn + naho + h_{ }o. when slightly heated, nh_{ }na + nocl = nacl + n_{ } + h_{ }o (nhna_{ } and nna_{ } are apparently not formed at a higher temperature). the halogen organic compounds react with the aid of heat, but with so much energy that the reaction frequently leads to the ultimate destruction of the organic groups and production of carbon. [ ] as sodium does not displace hydrogen from the hydrocarbons, _it may be preserved_ in liquid hydrocarbons. naphtha is generally used for this purpose, as it consists of a mixture of various liquid hydrocarbons. however, in naphtha sodium usually becomes coated with a crust composed of matter produced by the action of the sodium on certain of the substances contained in the mixture composing naphtha. in order that sodium may retain its lustre in naphtha, secondary octyl alcohol is added. (this alcohol is obtained by distilling castor oil with caustic potash.) sodium keeps well in a mixture of pure benzene and paraffin. [ ] if sodium does not directly displace the hydrogen in hydrocarbons, still by indirect means compounds may be obtained which contain sodium and hydrocarbon groups. some of these compounds have been produced, although not in a pure state. thus, for instance, zinc ethyl, zn(c_{ }h_{ })_{ }, when treated with sodium, loses zinc and forms sodium ethyl, c_{ }h_{ }na, but this decomposition is not complete, and the compound formed cannot be separated by distillation from the remaining zinc ethyl. in this compound the energy of the sodium is clearly manifest, for it reacts with substances containing haloids, oxygen, &c., and directly absorbs carbonic anhydride, forming a salt of a carboxylic acid (propionic). with _oxygen_ sodium unites in three degrees of combination, forming a suboxide na_{ }o,[ bis] an oxide, na_{ }o, and a peroxide, nao. they are thus termed because na_{ }o is a stable basic oxide (with water it forms a basic hydroxide), whilst na_{ }o and nao do not form corresponding saline hydrates and salts. the suboxide is a grey inflammable substance which easily decomposes water, disengaging hydrogen; it is formed by the slow oxidation of sodium at the ordinary temperature. the peroxide is a greenish yellow substance, fusing at a bright red heat; it is produced by burning sodium in an excess of oxygen, and it yields oxygen when treated with water: suboxide: na_{ }o + h_{ }o = naho + h_{ }[ ] oxide: na_{ }o + h_{ }o = naho[ ] peroxide: na_{ }o_{ } + h_{ }o = naho + o[ ] all three oxides form sodium hydroxide with water, but only the oxide na_{ }o is directly transformed into a hydrate. the other oxides liberate either hydrogen or oxygen; they also present a similar distinction with reference to many other agents. thus carbonic anhydride combines directly with the oxide na_{ }o, which when heated in the gas burns, forming sodium carbonate, whilst the peroxide yields oxygen in addition. when treated with acids, sodium and all its oxides only form the salts corresponding with sodium oxide--that is, of the formula or type nax. thus the oxide of sodium, na_{ }o, is _the only salt-forming oxide_ of this metal, as water is in the case of hydrogen. although the peroxide h_{ }o_{ } is derived from hydrogen, and na_{ }o_{ } from sodium, yet there are no corresponding salts known, and if they are formed they are probably as unstable as hydrogen peroxide. although carbon forms carbonic oxide, co, still it has only one salt-forming oxide--carbonic anhydride, co_{ }. nitrogen and chlorine both give several salt-forming oxides and types of salts. but of the oxides of nitrogen, no and no_{ } do not form salts, as do n_{ }o_{ }, n_{ }o_{ }, and n_{ }o_{ }, although n_{ }o_{ } does not form special salts, and n_{ }o_{ } corresponds with the highest form of the saline compounds of nitrogen. such distinctions between the elements, according to their power of giving one or several saline forms, is a radical property of no less importance than the basic or acid properties of their oxides. sodium as a typical metal does not form any acid oxides, whilst chlorine, as a typical non-metal, does not form bases with oxygen. therefore sodium _as an element_ may be thus characterised: it forms one very stable salt-forming oxide, na_{ }o, having powerful basic properties, and its salts are of the general formula, nax, therefore in its compounds it is, like hydrogen, a basic and univalent element. [ bis] it is even doubtful whether the suboxide exists (_see_ note ). [ ] a compound, na_{ }cl, which corresponds with the suboxide, is apparently formed when a galvanic current is passed through fused common salt; the sodium liberated dissolves in the common salt, and does not separate from the compound either on cooling or on treatment with mercury. it is therefore supposed to be na_{ }cl; the more so as the mass obtained gives hydrogen when treated with water: na_{ }cl + h_{ }o = h + naho + nacl, that is, it acts like suboxide of sodium. if na_{ }cl really exists as a salt, then the corresponding base na_{ }o, according to the rule with other bases of the composition m_{ }o, ought to be called a quaternary oxide. according to certain evidence, a suboxide is formed when thin sheets or fine drops of sodium slowly oxidise in moist air. [ ] according to observations easily made, sodium when fused in air oxidises but does not burn, the combustion only commencing with the formation of vapour--that is, when considerably heated. davy and karsten obtained the oxides of potassium, k_{ }o, and of sodium, na_{ }o, by heating the metals with their hydroxides, whence naho + na = na_{ }o + h, but n. n. beketoff failed to obtain oxides by this means. he prepared them by directly igniting the metals in dry air, and afterwards heating with the metal in order to destroy any peroxide. the oxide produced, na_{ }o, when heated in an atmosphere of hydrogen, gave a mixture of sodium and its hydroxide: na_{ }o + h = naho + na (_see_ chapter ii., note ). if both the observations mentioned are accurate, then the reaction is reversible. sodium oxide ought to be formed during the decomposition of sodium carbonate by oxide of iron (_see_ note ), and during the decomposition of sodium nitrite. according to karsten, its specific gravity is · , according to beketoff · . the difficulty in obtaining it is owing to an excess of sodium forming the suboxide, and an excess of oxygen the peroxide. the grey colour peculiar to the suboxide and oxide perhaps shows that they contain metallic sodium. in addition to this, in the presence of water it may contain sodium hydride and naho. [ ] of the oxides of sodium, that easiest to form is the peroxide, nao or na_{ }o_{ }; this is obtained when sodium is burnt in an excess of oxygen. if nano_{ } be melted, it gives na_{ }o_{ } with metallic na. in a fused state the peroxide is reddish yellow, but it becomes almost colourless when cold. when heated with iodine vapour, it loses oxygen: na_{ }o_{ } +i_{ } = na_{ }oi_{ } + o. the compound na_{ }oi_{ } is akin to the compound cu_{ }ocl_{ } obtained by oxidising cucl. this reaction is one of the few in which iodine directly displaces oxygen. the substance na_{ }oi_{ } is soluble in water, and when acidified gives free iodine and a sodium salt. carbonic oxide is absorbed by heated sodium peroxide with formation of sodium carbonate: na_{ }co_{ } = na_{ }o_{ } + co, whilst carbonic anhydride liberates oxygen from it. with nitrous oxide it reacts thus: na_{ }o_{ } + n_{ }o = nano_{ } +n_{ }; with nitric oxide it combines directly, forming sodium nitrite, nao + no = nano_{ }. sodium peroxide, when treated with water, does not give hydrogen peroxide, because the latter in the presence of the alkali formed (na_{ }o_{ }+ h_{ }o = naho + h_{ }o_{ }) decomposes into water and oxygen. in the presence of dilute sulphuric acid it forms h_{ }o_{ } (na_{ }o_{ } + h_{ }so_{ } = na_{ }so_{ } + h_{ }o_{ }). peroxide of sodium is now prepared on a large scale (by the action of air upon na at °) for bleaching wool, silk &c. (when it acts in virtue of the h_{ }o_{ } formed). the oxidising properties of na_{ }o_{ } under the action of heat are seen, for instance, in the fact that when heated with i it forms sodium iodate; with pbo, na_{ }pbo_{ }; with pyrites, sulphates, &c. when peroxide of sodium comes into contact with water, it evolves much heat, forming h_{ }o_{ }, and decomposing with the disengagement of oxygen; but, as a rule, there is no explosion. but if na_{ }o_{ } be placed in contact with organic matter, such as sawdust, cotton, &c., it gives a violent explosion when heated, ignited, or acted on by water. peroxide of sodium forms an excellent oxidising agent for the preparation of the higher product of oxidation of mn, cr, w, &c., and also for oxidising the metallic sulphides. it should therefore find many applications in chemical analysis. to prepare na_{ }o_{ } on a large scale, castner melts na in an aluminium vessel, and at ° passes first air deprived of a portion of its oxygen (having been already once used), and then ordinary dry air over it. on comparing sodium and its analogues, which will be described later with other metallic elements, it will be seen that these properties, together with the relative lightness of the metal itself and its compounds, and the magnitude of its atomic weight comprise the most essential properties of this element, clearly distinguishing it from others, and enabling us easily to recognise its analogues. chapter xiii potassium, rubidium, cÆsium, and lithium. spectrum analysis just as the series of halogens, fluorine, bromine and iodine correspond with the chlorine contained in common salt, so also there exists a corresponding series of elements: lithium, li = , potassium, k = , rubidium, rb = , and cæsium, cs = , which are analogous to the sodium in common salt. these elements bear as great a resemblance to sodium, na = , as fluorine, f = , bromine, br = , and iodine, i = , do to chlorine, cl = · . indeed, in a free state, these elements, like sodium, are soft metals which rapidly oxidise in moist air and decompose water at the ordinary temperature, forming soluble hydroxides having clearly-defined basic properties and the composition rho, like that of caustic soda. the resemblance between these metals is sometimes seen with striking clearness, especially in compounds such as salts.[ ] the corresponding salts of nitric, sulphuric, carbonic, and nearly all acids with these metals have many points in common. the metals which resemble sodium so much in their reactions are termed the _metals of the alkalis_. [ ] tutton's researches ( ) upon the analogy of the crystalline forms of k_{ }so_{ }, rb_{ }so_{ } and cs_{ }so_{ } may be taken as a typical example of the comparison of analogous compounds. we cite the following data from these excellent researches: the sp. gr. at °/ ° of k_{ }so_{ } is · of rb_{ }so_{ }, · , and of cs_{ }so_{ }, · . the coefficient of cubical expansion (the mean between ° and °) for the k salt is · , for the rb salt · , for the cs salt · . the linear expansion (the maximum for the vertical axis) along the axis of crystallisation is the same for all three salts, within the limits of experimental error. the replacement of potassium by rubidium causes the distance between the centres of the molecules in the direction of the three axes of crystallisation to increase equally, and less than with the replacement of rubidium by cæsium. the index of refraction for all rays and for every crystalline path (direction) is greater for the rubidium salt than for the potassium salt, and less than for the cæsium salt, and the differences are nearly in the ratio : . the lengths of the rhombic crystalline axes for k_{ }so_{ } are in the ratio · : : · , for rb_{ }so_{ }, · : : · , and for cs_{ }so_{ }, · : : · . the development of the basic and brachy-pinacoids gradually increases in passing from k to rb and cs. the optical properties also follow the same order both at the ordinary and at a higher temperature. tutton draws the general conclusion that the crystallographic properties of the isomorphic rhombic sulphates r_{ }so_{ } are a function of the atomic weight of the metals contained in them (_see_ chapter xv.) such researches as these should do much towards hastening the establishment of a true molecular mechanics of physico-chemical phenomena. among the metals of the alkalis, the most widely distributed in nature, after sodium, is _potassium_. like sodium, it does not appear either in a free state or as oxide or hydroxide, but in the form of salts, which present much in common with the salts of sodium in the manner of their occurrence. the compounds of potassium and sodium in the earth's crust occur as mineral compounds of silica. with silica, sio_{ }, potassium oxide, like sodium oxide, forms saline mineral substances resembling glass. if other oxides, such as lime, cao, and alumina, al_{ }o_{ }, combine with these compounds, glass is formed, a vitreous stony mass, distinguished by its great stability, and its very slight variation under the action of water. it is such complex silicious compounds as these which contain potash (potassium oxide), k_{ }o, or soda (sodium oxide), na_{ }o, and sometimes both together, silica, sio_{ }, lime, cao, alumina, al_{ }o_{ }, and other oxides, that form the chief mass of rocks, out of which, judging by the direction of the strata, the chief mass of the accessible crust (envelope) of the earth is made up. the primary rocks, like granite, porphyry, &c.,[ bis] are formed of such crystalline silicious rocks as these. the oxides entering into the composition of these rocks do not form a homogeneous amorphous mass like glass, but are distributed in a series of peculiar, and in the majority of cases crystalline, compounds, into which the primary rocks may be divided. thus a felspar (orthoclase) in granite contains from to per cent. of potassium, whilst another variety (plagioclase) which also occurs in granite contains · to per cent. of potassium, and to per cent. of sodium. the mica in granite contains to per cent. of potassium. as already mentioned, and further explained in chapter xvii., the friable, crumbling, and stratified formations which in our times cover a large part of the earth's surface have been formed from these primary rocks by the action of the atmosphere and of water containing carbonic acid. it is evident that in the chemical alteration of the primary rocks by the action of water, the compounds of potassium, as well as the compounds of sodium, must have been dissolved by the water (as they are soluble in water), and that therefore the compounds of potassium must be accumulated together with those of sodium in sea water. and indeed compounds of potassium are always found in _sea water_, as we have already pointed out (chapters i. and x.). this forms one of the sources from which they are extracted. after the evaporation of sea water, there remains a mother liquor, which contains potassium chloride and a large proportion of magnesium chloride. on cooling this solution crystals separate out which contain chlorides of magnesium and potassium. a double salt of this kind, called _carnallite_, kmgcl_{ }, h_{ }o, occurs at stassfurt. this carnallite[ ] is now employed as a material for the extraction of potassium chloride, and of all the compounds of this element.[ ] besides which, potassium chloride itself is sometimes found at stassfurt as _sylvine_.[ bis] by a method of double saline decomposition, the chloride of potassium may be converted into all the other potassium salts,[ ] some of which are of practical use. the potassium salts have, however, their greatest importance as an indispensable component of the food of plants.[ ] [ bis] the origin of the primary rocks has been mentioned in chapter x., note . [ ] carnallite belongs to the number of double salts which are directly decomposed by water, and it only crystallises from solutions which contain an excess of magnesium chloride. it may be prepared artificially by mixing strong solutions of potassium and magnesium chlorides, when colourless crystals of sp. gr. · separate, whilst the stassfurt salt is usually of a reddish tint, owing to traces of iron. at the ordinary temperature sixty-five parts of carnallite are soluble in one hundred parts of water in the presence of an excess of the salt. it deliquesces in the air, forming a solution of magnesium chloride and leaving potassium chloride. the quantity of carnallite produced at stassfurt is now as much as , tons a year. [ ] the method of separating sodium chloride from potassium chloride has been described in chapter i. on evaporation of a mixture of the saturated solutions, sodium chloride separates; and then, on cooling, potassium chloride separates, owing to the difference of rate of variation of their solubilities with the temperature. the following are the most trustworthy figures for the solubility of _potassium chloride_ in one hundred parts of water (for sodium chloride, _see_ chapter x., note ):-- ° ° ° ° ° when mixed with solutions of other salts the solubility of potassium chloride naturally varies, but not to any great extent. [ bis] the specific gravity of the solid salt is · --that is, less than that of sodium chloride. all the salts of sodium are specifically heavier than the corresponding salts of potassium, as are also their solutions for equal percentage compositions. if the specific gravity of water at ° = , , then at ° the specific gravity of a solution of _p_ p.c. potassium chloride = , + · _p_ + · _p_^ , and therefore for p.c. = · , p.c. = · , &c. potassium chloride combines with iodine trichloride to form a compound kcl + icl_{ } = kicl_{ }, which has a yellow colour, is fusible, loses iodine trichloride at a red heat, and gives potassium iodate and hydrochloric acid with water. it is not only formed by direct combination, but also by many other methods; for instance, by passing chlorine into a solution of potassium iodide so long as the gas is absorbed, ki + cl_{ } = kcl,icl_{ }. potassium iodide, when treated with potassium chlorate and strong hydrochloric acid, also gives this compound; another method for its formation is given by the equation kclo_{ } + i + hcl = kcl,icl_{ } + cl + h_{ }o. this is a kind of salt corresponding with kio_{ } (unknown) in which the oxygen is replaced by chlorine. if valency be taken as the starting-point in the study of chemical compounds, and the elements considered as having a constant atomicity (number of bonds)--that is, if k, cl, and i be taken as univalent elements--then it is impossible to explain the formation of such a compound because, according to this view, univalent elements are only able to form dual compounds with each other; such as, kcl, cli, ki, &c., whilst here they are grouped together in the molecule kicl_{ }. wells, wheeler, and penfield ( ) obtained a large number of such poly-haloid salts. they may all be divided into two large classes: the tri-haloid and the penta-haloid salts. they have been obtained not only for k but also for rb and cs, and partially also for na and li. the general method of their formation consists in dissolving the ordinary halogen salt of the metal in water, and treating it with the requisite amount of free halogen. the poly-haloid salt separates out after evaporating the solution at a more or less low temperature. in this manner, among the tri-haloid salts, may be obtained: ki_{ }, kbr_{ }i, kcl_{ }i, and the corresponding salts of rubidium and cæsium, for instance, csi_{ }, csbri_{ }, csbr_{ }i, csclbri,cscl_{ }i, csbr_{ }, csclbr_{ }, cscl_{ }br, and in general mx_{ } where x is a halogen. the colour of the crystals varies according to the halogen, thus csi_{ } is black, crbr_{ } yellowish red, crbri_{ } reddish brown, csbr_{ }i red, cscl_{ }br yellow. the cæsium salts are the most stable, and those of potassium least so, as also those which contain br and i separately or together; for cæsium no compounds containing cl and i were obtained. the penta-haloid salts form a smaller class; among these salts potassium forms kcl_{ }i, rubidium rbcl_{ }i, cæsium csi_{ }, csbr, cscl_{ }i, lithium licl_{ }i (with h_{ }o) and sodium nacl_{ }i (with h_{ }o). the most stable are those salts containing the metal with the greatest atomic weight--cæsium (_see_ chapter xi., note ). [ ] it is possible to extract the compounds of potassium directly from the primary rocks which are so widely distributed over the earth's surface and so abundant in some localities. from a chemical point of view this problem presents no difficulty; for instance, by fusing powdered orthoclase with lime and fluor spar (ward's method) and then extracting the alkali with water (on fusion the silica gives an insoluble compound with lime), or by treating the orthoclase with hydrofluoric acid (in which case silicon fluoride is evolved as a gas) it is possible to transfer the alkali of the orthoclase to an aqueous solution, and to separate it in this manner from the other insoluble oxides. however, as yet there is no profit in, nor necessity for, recourse to this treatment, as carnallite and potash form abundant materials for the extraction of potassium compounds by cheaper methods. furthermore, the salts of potassium are now in the majority of chemical reactions replaced by salts of sodium, especially since the preparation of sodium carbonate has been facilitated by the leblanc process. the replacement of potassium compounds by sodium compounds not only has the advantage that the salts of sodium are in general cheaper than those of potassium, but also that a smaller quantity of a sodium salt is needed for a given reaction than of a potassium salt, because the combining weight of sodium ( ) is less than that of potassium ( ). [ ] it has been shown by direct experiment on the cultivation of plants in artificial soils and in solutions that under conditions (physical, chemical, and physiological) otherwise identical plants are able to thrive and become fully developed in the entire absence of sodium salts, but that their development is impossible without potassium salts. the primary rocks contain an almost equal proportion of potassium and sodium. but in sea water the compounds of the latter metal predominate. it may be asked, what became of the compounds of potassium in the disintegration of the primary rocks, if so small a quantity went to the sea water? they remained with the other products of the decomposition of the primary rocks. when granite or any other similar rock formation is disintegrated, there are formed, besides the soluble substances, also insoluble substances--sand and finely-divided clay, containing water, alumina, and silica. this clay is carried away by the water, and is then deposited in strata. it, and especially its admixture with vegetable remains, retain compounds of potassium in a greater quantity than those of sodium. this has been proved with absolute certainty to be the case, and is due to the _absorptive power of the soil_. if a dilute solution of a potassium compound be filtered through common mould used for growing plants, containing clay and the remains of vegetable decomposition, this mould will be found to have retained a somewhat considerable percentage of the potassium compounds. if a salt of potassium be taken, then during the filtration an equivalent quantity of a salt of calcium--which is also found, as a rule, in soils--is set free. such a process of filtration through finely divided earthy substances proceeds in nature, and the compounds of potassium are everywhere retained by the friable earth in considerable quantity. this explains the presence of so small an amount of potassium salts in the water of rivers, lakes, streams, and oceans, where the lime and soda have accumulated. the compounds of potassium retained by the friable mass of the earth are absorbed as an aqueous solution by the roots of _plants_. plants, as everyone knows, when burnt leave an ash, and this ash, besides various other substances, without exception contains compounds of potassium. many land plants contain a very small amount of sodium compounds,[ ] whilst potassium and its compounds occur in all kinds of vegetable ash. among the generally cultivated plants, grass, potatoes, the turnip, and buckwheat are particularly rich in potassium compounds. the ash of plants, and especially of herbaceous plants, buckwheat straw, sunflower and potato leaves are used in practice for the extraction of potassium compounds. there is no doubt that potassium occurs in the plants themselves in the form of complex compounds, and often as salts of organic acids. in certain cases such salts of potassium are even extracted from the juice of plants. thus, sorrel and oxalis, for example, contain in their juices the acid oxalate of potassium, c_{ }hko_{ }, which is employed for removing ink stains. grape juice contains the so-called cream of tartar, which is the acid tartrate of potassium, c_{ }h_{ }ko_{ }.[ ] this salt also separates as a sediment from wine. when the plants, containing one or more of the salts of potassium, are burnt, the carbonaceous matter is oxidised, and in consequence the potassium is obtained in the ash as carbonate, k_{ }co_{ }, which is generally known as _potashes_. hence potashes occur ready prepared in the ash of plants, and therefore the ash of land plants is employed as a source for the extraction of potassium compounds. potassium carbonate is extracted by lixiviating the ash with water.[ ] potassium carbonate may also be obtained from the chloride by a method similar to that by which sodium carbonate is prepared from sodium chloride.[ bis] there is no difficulty in obtaining any salt of potassium--for example, the sulphate,[ ] bromide, and iodide[ ]--by the action of the corresponding acid on kcl and especially on the carbonate, whilst the hydroxide, _caustic potash_, kho, which is in many respects analogous to caustic soda, is easily obtained by means of lime in exactly the same manner in which sodium hydroxide is prepared from sodium carbonate.[ ] therefore, in order to complete our knowledge of the alkali metals, we will only describe two salts of potassium which are of practical importance, and whose analogues have not been described in the preceding chapter, potassium cyanide and potassium nitrate. [ ] if herbaceous plants contain much sodium salts, it is evident that these salts mainly come from the sodium compounds in the water absorbed by the plants. [ ] as plants always contain mineral substances and cannot thrive in a medium which does not contain them, more especially in one which is free from the salts of the four basic oxides, k_{ }o, cao, mgo, and fe_{ }o_{ }, and of the four acid oxides, co_{ }, n_{ }o_{ }, p_{ }o_{ }, and so_{ }, and as the amount of ash-forming substances in plants is small, the question inevitably arises as to what part these play in the development of plants. with the existing chemical data only one answer is possible to this question, and it is still only a hypothesis. this answer was particularly clearly expressed by professor gustavson of the petroffsky agricultural academy. starting from the fact (chapter xi., note ) that a small quantity of aluminium renders possible or facilitates the reaction of bromine on hydrocarbons at the ordinary temperature, it is easy to arrive at the conclusion, which is very probable and in accordance with many data respecting the reactions of organic compounds, that the addition of mineral substances to organic compounds lowers the temperature of reaction and in general facilitates chemical reactions in plants, and thus aids the conversion of the most simple nourishing substances into the complex component parts of the plant organism. the province of chemical reactions proceeding in organic substances in the presence of a small quantity of mineral substances has as yet been but little investigated, although there are already several disconnected data concerning reactions of this kind, and although a great deal is known with regard to such reactions among inorganic compounds. the essence of the matter may be expressed thus--two substances, a and b, do not react on each other of their own accord, but the addition of a small quantity of a third particularly active substance, c, produces the reaction of a on b, because a combines with c, forming ac, and b reacts on this new compound, which has a different store of chemical energy, forming the compound ab or its products, and setting c free again or retaining it. it may here be remarked that all the mineral substances necessary for plants (those enumerated at the beginning of the note) are the highest saline compounds of their elements, that they enter into the plants as salts, that the lower forms of oxidation of the same elements (for instance, sulphites and phosphites) are harmful to plants (poisonous), and that strong solutions of the salts assimilated by plants (their osmotic pressure being great and contracting the cells, as de vries showed, (_see_ chapter i., note )) not only do not enter into the plants but kill them (poison them). [ ] besides which, it will be understood from the preceding paragraph that the salts of potassium may become exhausted from the soil by long cultivation, and that there may therefore be cases when the direct fertilisation by salts of potassium may be profitable. but manure and animal excrements, ashes, and, in general, nearly all refuse which may serve for fertilising the soil, contain a considerable quantity of potassium salts, and therefore, as regards the natural salts of potassium (stassfurt), and especially potassium sulphate, if they often improve the crops, it is in all probability due to their action on the properties of the soil. the agriculturist cannot therefore be advised to add potassium salts, without making special experiments showing the advantage of such a fertiliser on a given kind of soil and plant. the animal body also contains potassium compounds, which is natural, since animals consume plants. for example, milk, and especially human milk, contains a somewhat considerable quantity of potassium compounds. cow's milk, however, does not contain much potassium salt. sodium compounds generally predominate in the bodies of animals. the excrement of animals, and especially of herbivorous animals, on the contrary, often contains a large proportion of potassium salts. thus sheep's dung is rich in them, and in washing sheep's wool salts of potassium pass into the water. the ash of tree stems, as the already dormant portion of the plant (chapter viii., note ), contains little potash. for the extraction of potash, which was formerly carried on extensively in the east of russia (before the discovery of the stassfurt salt), the ash of grasses, and the green portions of potatoes, buckwheat, &c., are taken and treated with water (lixiviated), the solution is evaporated, and the residue ignited in order to destroy the organic matter present in the extract. the residue thus obtained is composed of raw potash. it is refined by a second dissolution in a small quantity of water, for the potash itself is very soluble in water, whilst the impurities are sparingly soluble. the solution thus obtained is again evaporated, and the residue ignited, and this potash is then called refined potash, or pearlash. this method of treatment cannot give chemically pure potassium carbonate. a certain amount of impurities remain. to obtain chemically pure potassium carbonate, some other salt of potassium is generally taken and purified by crystallisation. potassium carbonate crystallises with difficulty, and it cannot therefore be purified by this means, whilst other salts, such as the tartrate, acid carbonate, sulphate, or nitrate, &c., crystallise easily and may thus be directly purified. the tartrate is most frequently employed, since it is prepared in large quantities (as a sediment from wine) for medicinal use under the name of cream of tartar. when ignited without access of air, it leaves a mixture of charcoal and potassium carbonate. the charcoal so obtained being in a finely-divided condition, the mixture (called 'black flux'), is sometimes used for reducing metals from their oxides with the aid of heat. a certain quantity of nitre is added to burn the charcoal formed by heating the cream of tartar. potassium carbonate thus prepared is further purified by converting it into the acid salt, by passing a current of carbonic anhydride through a strong solution. khco_{ } is then formed, which is less soluble than the normal salt (as is also the case with the corresponding sodium salts), and therefore crystals of the acid salt separate from the solution on cooling. when ignited, they part with their water and carbonic anhydride, and pure potassium carbonate remains behind. the physical properties of potassium carbonate distinguish it sufficiently from sodium carbonate; it is obtained from solutions as a powdery white mass, having an alkaline taste and reaction, and, as a rule, shows only traces of crystallisation. it also attracts the moisture of the air with great energy. the crystals do not contain water, but absorb it from the air, deliquescing into a saturated solution. it melts at a red heat ( °), and at a still higher temperature is even converted into vapour, as has been observed at glass works where it is employed. it is very soluble. at the ordinary temperature, water dissolves an equal weight of the salt. crystals containing two equivalents of water separate from such a saturated solution when strongly cooled (morel obtained k_{ }co_{ } h_{ }o in well-formed crystals at + °). there is no necessity to describe its reactions, because they are all analogous to those of sodium carbonate. when manufactured sodium carbonate was but little known, the consumption of potassium carbonate was very considerable, and even now washing soda is frequently replaced for household purposes by 'lye'--_i.e._ an aqueous solution obtained from ashes. it contains potassium carbonate, which acts like the sodium salt in washing tissues, linen, &c. a mixture of potassium and sodium carbonates fuses with much greater ease than the separate salts, and a mixture of their solutions gives well-crystallised salts--for instance (marguerite's salt), k_{ }co_{ }, h_{ }o, na_{ }co_{ }, h_{ }o. crystallisation also occurs in other multiple proportions of k and na (in the above case : , but : and : are known), and always with mol. h_{ }o. this is evidently a combination _by similarity_, as in alloys, solutions, &c. [ bis] about , tons of potash annually are now prepared from kcl by this method at stassfurt. [ ] _potassium sulphate_, k_{ }so_{ }, crystallises from its solutions in an anhydrous condition, in which respect it differs from the corresponding sodium salt, just as potassium carbonate differs from sodium carbonate. in general, it must be observed that the majority of sodium salts combine more easily with water of crystallisation than the potassium salts. the solubility of _potassium sulphate_ does not show the same peculiarities as that of sodium sulphate, because it does not combine with water of crystallisation; at the ordinary temperature parts of water dissolve about parts of the salt, at ° · parts, and at ° about parts. _the acid sulphate_, khso_{ }, obtained easily by heating crystals of the normal salt with sulphuric acid, is frequently employed in chemical practice. on heating the mixture of acid and salt, fumes of sulphuric acid are at first given off; when they cease to be evolved, the acid salt is contained in the residue. at a higher temperature (of above °) the acid salt parts with all the acid contained in it, the normal salt being re-formed. the definite composition of this acid salt, and the ease with which it decomposes, render it exceedingly valuable for certain chemical transformations accomplished by means of sulphuric acid at a high temperature, because it is possible to take, in the form of this salt, a strictly definite quantity of sulphuric acid, and to cause it to act on a given substance at a high temperature, which it is often necessary to do, more especially in chemical analysis. in this case, the acid salt acts in exactly the same manner as sulphuric acid itself, but the latter is inefficient at temperatures above °, because it all evaporates, while at that temperature the acid salt still remains in a fused state, and acts with the elements of sulphuric acid on the substance taken. hence by its means the boiling-point of sulphuric acid is raised. thus the acid potassium sulphate is employed, where for conversion of certain oxides, such as those of iron, aluminium, and chromium, into salts, a high temperature is required. weber, by heating potassium sulphate with an excess of sulphuric acid at °, observed the formation of a lower stratum, which was found to contain a definite compound containing eight equivalents of so_{ } per equivalent of k_{ }o. the salts of rubidium, cæsium, and thallium give a similar result, but those of sodium and lithium do not. (_see_ note .) [ ] the _bromide_ and _iodide_ of potassium are used, like the corresponding sodium compounds, in medicine and photography. potassium iodide is easily obtained in a pure state by saturating a solution of hydriodic acid with caustic potash. in practice, however, this method is rarely had recourse to, other more simple processes being employed although they do not give so pure a product. they aim at the direct formation of hydriodic acid in the liquid in the presence of potassium hydroxide or carbonate. thus iodine is thrown into a solution of pure potash, and hydrogen sulphide passed through the mixture, the iodine being thus converted into hydriodic acid. or a solution is prepared from phosphorus, iodine, and water, containing hydriodic and phosphoric acid; lime is then added to this solution, when calcium iodide is obtained in solution, and calcium phosphate as a precipitate. the solution of calcium iodide gives, with potassium carbonate, insoluble calcium carbonate and a solution of potassium iodide. if iodine is added to a slightly-heated solution of caustic potash (free from carbonate--that is, freshly prepared), so long as the solution is not coloured from the presence of an excess of iodine, there is formed (as in the action of chlorine on a solution of caustic potash) a mixture of potassium iodide and iodate. on evaporating the solution thus obtained and igniting the residue, the iodate is destroyed and converted into iodide, the oxygen being disengaged, and potassium iodide only is left behind. on dissolving the residue in water and then evaporating, cubical crystals of the anhydrous salt are obtained, which are soluble in water and alcohol, and on fusion give an alkaline reaction, owing to the fact that when ignited a portion of the salt decomposes, forming potassium oxide. the neutral salt may be obtained by adding hydriodic acid to this alkaline salt until it gives an acid reaction. it is best to add some finely-divided charcoal to the mixture of iodate and iodide before igniting it, as this facilitates the evolution of the oxygen from the iodate. the iodate may also be converted into iodide by the action of certain reducing agents, such as zinc amalgam, which when boiled with a solution containing an iodate converts it into iodide. potassium iodide may also be prepared by mixing a solution of ferrous iodide (it is best if the solution contain an excess of iodine) and potassium carbonate, in which case ferrous carbonate feco_{ }, is precipitated (with an excess of iodine the precipitate is granular, and contains a compound of the suboxide and oxide of iron), while potassium iodide remains in solution. ferrous iodide, fei_{ }, is obtained by the direct action of iodine on iron in water. potassium iodide considerably lowers the temperature (by °), when it dissolves in water, parts of the salt dissolve in · parts of water at · °, in parts at °, whilst the saturated solution which boils at ° contains parts of salt per parts of water. solutions of potassium iodide dissolve a considerable amount of iodine; strong solutions even dissolving as much or more iodine than they contain as potassium iodide (_see_ note bis and chapter xi., note ). [ ] caustic potash is not only formed by the action of lime on dilute solutions of potassium carbonate (as sodium hydroxide is prepared from sodium carbonate), but by igniting potassium nitrate with finely-divided copper (_see_ note ), and also by mixing solutions of potassium sulphate (or even of alum, kals_{ }o_{ }) and barium hydroxide, bah_{ }o_{ }. it is sometimes purified by dissolving it in alcohol (the impurities, for example, potassium sulphate and carbonate, are not dissolved) and then evaporating the alcohol. the specific gravity of potassium hydroxide is · , but that of its solutions (see chapter xii., note ) at ° s = , + · _p_ + · _p_^ (here _p_^ is +, and for sodium hydroxide it is-). strong solutions, when cooled, yield a crystallo-hydrate, kho, h_{ }o, which dissolves in water, producing cold (like naho, h_{ }o), whilst potassium hydroxide in solution develops a considerable amount of heat. _potassium cyanide_, which presents in its chemical relations a certain analogy with the halogen salts of potassium, is not only formed according to the equation, kho + hcn = h_{ }o + kcn, but also whenever a nitrogenous carbon compound--for instance, animal matter--is heated in the presence of metallic potassium, or of a compound of potassium, and even when a mixture of potash and carbon is heated in a stream of nitrogen. potassium cyanide is obtained from yellow prussiate, which has been already mentioned in chapter ix., and whose preparation on a large scale will be described in chapter xxii. if the yellow prussiate be ground to a powder and dried, so that it loses its water of crystallisation, it then melts at a red heat, and decomposes into carbide of iron, nitrogen, and potassium cyanide, fek_{ }c_{ }n_{ } = kcn + fec_{ } + n_{ }. after the decomposition it is found that the yellow salt has been converted into a white mass of potassium cyanide. the carbide of iron formed collects at the bottom of the vessel. if the mass thus obtained be treated with water, the potassium cyanide is partially decomposed by the water, but if it be treated with alcohol, then the cyanide is dissolved, and on cooling separates in a crystalline form.[ ] a solution of potassium cyanide has a powerfully alkaline reaction, a smell like that of bitter almonds, peculiar to prussic acid, and acts as a most powerful poison. although exceedingly stable in a fused state, potassium cyanide easily changes when in solution. prussic acid is so very feebly energetic that even water decomposes potassium cyanide. a solution of the salt, even without access of air, easily turns brown and decomposes, and when heated evolves ammonia and forms potassium formate; this is easily comprehensible from the representation of the cyanogen compounds which was developed in chapter ix., kcn + h_{ }o = chko_{ } + nh_{ }. furthermore, as carbonic anhydride acts on potassium cyanide with evolution of prussic acid, and as potassium cyanate, which is also unstable, is formed by the action of air, it will be easily seen that solutions of potassium cyanide are very unstable. potassium cyanide, containing as it does carbon and potassium, is a substance which can act in a very vigorously reducing manner, especially when fused; it is therefore used as a powerful reducing agent at a red heat.[ ] the property of potassium cyanide of giving double salts with other cyanides is very clearly shown by the fact that many metals dissolve in a solution of potassium cyanide, with the evolution of hydrogen. for example, iron, copper, and zinc act in this manner. thus-- kcn + h_{ }o + zn = k_{ }znc_{ }n_{ } + kho + h_{ } [ ] when the yellow prussiate is heated to redness, all the cyanogen which was in combination with the iron is decomposed into nitrogen, which is evolved as gas, and carbon, which combines with the iron. in order to avoid this, potassium carbonate is added to the yellow prussiate while it is being fused. a mixture of parts of anhydrous yellow prussiate and parts of pure potassium carbonate is generally taken. double decomposition then takes place, resulting in the formation of ferrous carbonate and potassium cyanide. but by this method, as by the first, a pure salt is not obtained, because a portion of the potassium cyanide is oxidised at the expense of the iron carbonate and forms potassium cyanate, feco_{ } + kcn = co_{ } + fe + kcno; and the potassium cyanide very easily forms oxide, which acts on the sides of the vessel in which the mixture is heated (to avoid this iron vessels should be used). by adding one part of charcoal powder to the mixture of parts of anhydrous yellow prussiate and parts of potassium carbonate a mass is obtained which is free from cyanate, because the carbon absorbs the oxygen, but in that case it is impossible to obtain a colourless potassium cyanide by simple fusion, although this may be easily done by dissolving it in alcohol. cyanide of potassium may also be obtained from potassium thiocyanate, which is formed from ammonium thiocyanate obtained by the action of ammonia upon bisulphide of carbon (_see_ works upon organic chemistry). potassium cyanide is now prepared in large quantities from yellow prussiate for gilding and silvering. when fused in large quantities the action of the oxygen of the air is limited, and with great care the operation may be successfully conducted, and therefore, on a large scale, very pure salt is sometimes obtained. when slowly cooled, the fused salt separates in cubical crystals like potassium chloride. pure kcn is obtained by passing cnh gas into an alcoholic solution of kho. the large amount of potassium cyanide which is now required for the extraction of gold from its ores, is being replaced by a mixture (rossler and gasslaker, ) of kcn and nacn, prepared by heating powdered and dried yellow prussiate with metallic sodium: k_{ }fe(cn)_{ } + na = kcn + nacn + fe. this method offers two advantages over the above methods: ( ) the whole of the cyanide is obtained, and does not decompose with the formation of n_{ }; and ( ) no cyanates are formed, as is the case when carbonate of potash is heated with the prussiate. [ ] a considerable quantity of potassium cyanide is used in the arts, more particularly for the preparation of metallic solutions which are decomposed by the action of a galvanic current; thus it is very frequently employed in electro-silvering and gilding. an alkaline solution is prepared, which is moderately stable owing to the fact that potassium cyanide in the form of certain double salts--that is, combined with other cyanides--is far more stable than when alone (yellow prussiate, which contains potassium cyanide in combination with ferrous cyanide, is an example of this). gold and silver are soluble in potassium cyanide in the presence of air, in which case the hydrogen, which would otherwise be evolved in the reaction, combines with the oxygen of the air, forming water (eissler, maclaurin, ), for example, au + kcn + o + h_{ }o = aukc_{ }n_{ } + kho, which is taken advantage of for extracting gold from its ores (chapter xxiv.).[ bis] platinum, mercury, and tin are not dissolved in a solution of potassium cyanide, even with access of air. [ bis] a dilute solution of kcn is taken, not containing more than per cent. kcn. maclaurin explains this by the fact that strong solutions dissolve gold less rapidly, owing to their dissolving less air, whose oxygen is necessary for the reaction. _potassium nitrate_, or common _nitre_ or _saltpetre_, kno_{ }, is chiefly used as a component part of gunpowder, in which it cannot be replaced by the sodium salt, because the latter is deliquescent. it is necessary that the nitre in gunpowder should be perfectly pure, as even small traces of sodium, magnesium, and calcium salts, especially chlorides, render the nitre and the gunpowder capable of attracting moisture. nitre may easily be obtained pure, owing to its great disposition to form crystals both large and small, which aids its separation from other salts. the considerable differences between the solubility of nitre at different temperatures aids this crystallisation. a solution of nitre saturated at its boiling point ( °) contains parts of nitre to parts of water, whilst at the ordinary temperature--for instance, °--the solution is only able to retain parts of the salt. therefore, in the preparation and refining of nitre, its solution, saturated at the boiling point, is cooled, and nearly all the nitre is obtained in the form of crystals. if the solution be quietly and slowly cooled in large quantities then large crystals are formed, but if it be rapidly cooled and agitated then small crystals are obtained. in this manner, if not all, at all events the majority, of the impurities present in small quantities remain in the mother liquor. if an unsaturated solution of nitre be rapidly cooled, so as to prevent the formation of large crystals (in whose crevices the mother liquor, together with the impurities, would remain), the very minute crystals of nitre known as saltpetre flour are obtained. common nitre occurs in nature, but only in small quantities in admixture with other nitrates, and especially with sodium, magnesium, and calcium nitrates. such a mixture of salts of nitric acid is formed in nature in fertile earth, and in those localities where, as in _the soil_, nitrogenous organic remains are decomposed in the presence of alkalis or alkaline bases with free access of air. this method of the formation of nitrates requires moisture, besides the free access of air, and takes place principally during warm weather.[ ] in warm countries, and in temperate climates during the summer months, fertile soils produce a small quantity of nitre. in this respect india is especially known as affording a considerable supply of nitre extracted from the soil. the nitre-bearing soil after the rainy season sometimes becomes covered during the summer with crystals of nitre, formed by the evaporation of the water in which it was previously dissolved. this soil is collected, subjected to repeated lixiviations, and treated for nitre as will be presently described. in temperate climates nitrates are obtained from the lime rubbish of demolished buildings which have stood for many years, and especially from those portions which have been in contact with the ground. the conditions there are very favourable for the formation of nitre, because the lime used as a cement in buildings contains the base necessary for the formation of nitrates, while the excrement, urine, and animal refuse are sources of nitrogen. by the methodical lixiviation of this kind of rubbish a solution of nitrogenous salts is formed similar to that obtained by the lixiviation of fertile soil. a similar solution is also obtained by the lixiviation of the so-called _nitre plantations_. they are composed of manure interlaid with brushwood, and strewn over with ashes, lime, and other alkaline rubbish. these nitre plantations are set up in those localities where the manure is not required for the fertilisation of the soil, as, for example, in the south-eastern 'black earth' governments of russia. the same process of oxidation of nitrogenous matter freely exposed to air and moisture during the warm season in the presence of alkalis takes place in nitre plantations as in fertile soil and in the walls of buildings. from all these sources there is obtained a solution containing various salts of nitric acid mixed with soluble organic matter. the simplest method of treating this impure solution of nitre is to add a solution of potassium carbonate, or to simply treat it with ashes containing this substance. the potassium carbonate enters into double decomposition with the calcium and magnesium salts, forming insoluble carbonates of these bases and leaving the nitre in solution. thus, for instance, k_{ }co_{ } + ca(no_{ })_{ } = kno_ + caco_{ }. both calcium and magnesium carbonates are insoluble, and therefore after treatment with potassium carbonate the solution no longer contains salts of these metals but only the salts of sodium and potassium together with organic matter. the latter partially separates on heating in an insoluble form, and is entirely destroyed by heating the nitre to a low red heat. the nitre thus obtained is easily purified by repeated crystallisation. the greater part of the nitre used for making gunpowder is now obtained from the sodium salt _chili saltpetre_ or _cubic nitre_, which occurs in nature, as already mentioned. the conversion of this salt into common nitre is also carried on by means of a double decomposition. this is done either by adding potassium carbonate (when, on mixing the strong and hot solutions, sodium carbonate is directly obtained as a precipitate), or, as is now most frequent, potassium chloride. when a mixture of strong solutions of potassium chloride and sodium nitrate is evaporated, sodium chloride first separates, because this salt, which is formed by the double decomposition kcl + nano_{ } = kno_{ } + nacl, is almost equally soluble in hot and cold water; on cooling, therefore, a large amount of potassium nitrate separates from the saturated solution, while the sodium chloride remains dissolved. the nitre is ultimately purified by recrystallisation and by washing with a saturated solution of nitre, which cannot dissolve a further quantity of nitre but only the impurities. [ ] besides which schloesing and müntz, by employing similar methods to pasteur, showed that the formation of nitre in the decomposition of nitrogenous substances is accomplished by the aid of peculiar micro-organisms (ferments), without which the simultaneous action of the other necessary conditions (alkalis, moisture, a temperature of °, air, and nitrogenous substances) cannot give nitre. nitre is a colourless salt having a peculiar cool taste. it crystallises easily in long striated six-sided rhombic prisms terminating in rhombic pyramids. its crystals (sp. gr. · ) do not contain water, but their cavities generally contain a certain quantity of the solution from which they have crystallised. for this reason in refining nitre, the production of large crystals is prevented, _saltpetre flour_ being prepared. at a low red heat ( °) nitre melts to a colourless liquid.[ bis] potassium nitrate at the ordinary temperature and in a solid form is inactive and stable, but _at a high temperature_ it acts as a powerful _oxidising agent_, giving up a considerable amount of oxygen to substances mixed with it.[ ] when thrown on to incandescent charcoal it brings about its rapid combustion, and a mechanical mixture of powdered charcoal and nitre ignites when brought into contact with a red-hot substance, and continues to burn by itself. in this action, nitrogen is evolved, and the oxygen oxidises the charcoal, in consequence of which potassium carbonate and carbonic anhydride are formed: kno_{ } + c = k_{ }co_{ } + co_{ } + n_{ }. this phenomenon depends on the fact that oxygen in combining with carbon evolves more heat than it does in combining with nitrogen. hence, when once the combustion has been started at the expense of the nitre, it is able to go on without requiring the aid of external heat. a similar oxidation or combustion at the expense of the contained oxygen takes place when nitre is heated with different combustible substances. if a mixture of sulphur and nitre be thrown upon a red-hot surface, the sulphur burns, forming potassium sulphate and sulphurous anhydride. in this case, also, the nitrogen of the nitre is evolved as gas: kno_{ } + s = k_{ }so_{ } + n_{ } + so_{ }. a similar phenomenon occurs when nitre is heated with many metals. the oxidation of those metals which are able to form acid oxides with an excess of oxygen is especially remarkable. in this case they remain in combination with potassium oxide as potassium salts. manganese, antimony, arsenic, iron, chromium, &c. are instances of this kind. these elements, like carbon and sulphur, displace free nitrogen. the lower oxides of these metals when fused with nitre pass into the higher oxides. organic substances are also oxidised when heated with nitre--that is, they burn at the expense of the nitre. it will be readily understood from this that nitre is frequently used in practical chemistry and the arts as an oxidising agent at high temperatures. its application in _gunpowder_ is based on this property; gunpowder consists of a mechanical mixture of finely-ground sulphur, nitre, and charcoal. the relative proportion of these substances varies according to the destination of the powder and to the kind of charcoal employed (a friable, incompletely-burnt charcoal, containing therefore hydrogen and oxygen, is employed). gases are formed in its combustion, chiefly nitrogen and carbonic anhydride, which create a considerable pressure if their escape be in any way impeded. this action of gunpowder may be expressed by the equation: kno_{ } + c + s = k_{ }s + co_{ } + n_{ }. [ bis] before fusing, the crystals of potassium nitrate change their form, and take the same form as sodium nitrate--that is, they change into rhombohedra. nitre crystallises from hot solutions, and in general under the influence of a rise of temperature, in a different form from that given at the ordinary or lower temperatures. fused nitre solidifies to a radiated crystalline mass; but it does not exhibit this structure if metallic chlorides be present, so that this method may be taken advantage of to determine the degree of purity of nitre. carnelley and thomson ( ) determined the fusing point of mixtures of potassium and sodium nitrates. the first salt fuses at ° and the second at °, and if _p_ be the percentage amount of potassium nitrate, then the results obtained were-- _p_ = ° ° ° ° ° ° ° ° ° which confirms shaffgotsch's observation ( ) that the lowest fusing point (about °) is given by mixing molecular quantities (_p_ = · ) of the salts--that is, in the formation of the alloy, kno_{ },nano_{ }. a somewhat similar result was discovered by the same observers for the solubility of mixtures of these salts at ° in parts of water. thus, if _p_ be the weight of potassium nitrate mixed with -_p_ parts by weight of sodium nitrate taken for solution, and _c_ be the quantity of the mixed salts which dissolves in , the solubility of sodium nitrate being , and of potassium nitrate , parts in parts of water, then-- _p_ = _c_ = the maximum solubility proved not to correspond with the most fusible mixture, but to one much richer in sodium nitrate. both these phenomena show that in homogeneous liquid mixtures the chemical forces that act between substances are the same as those that determine the molecular weights of substances, even when the mixture consists of such analogous substances as potassium and sodium nitrates, between which there is no direct chemical interchange. it is instructive to note also that the maximum solubility does not correspond with the minimum fusing point, which naturally depends on the fact that in solution a third substance, namely water, plays a part, although an attraction between the salts, like that which exists between sodium and potassium carbonates (note ), also partially acts. [ ] fused nitre, with a further rise of temperature, disengages oxygen and then nitrogen. the nitrite kno_{ } is first formed and then potassium oxide. the admixture of certain metals--for example, of finely-divided copper--aids the last decomposition. the oxygen in this case naturally passes over to the metal. it is found by this equation that gunpowder should contain thirty-six parts of charcoal ( · p.c.), and thirty-two parts ( · p.c.) of sulphur, to parts ( · p.c.) of nitre, which is very near to its actual composition.[ ] [ ] in china, where the manufacture of gunpowder has long been carried on, · parts of nitre, · of charcoal, and · of sulphur are used. ordinary powder for sporting purposes contains parts of nitre, of charcoal, and of sulphur, whilst the gunpowder used in heavy ordnance contains of nitre, of charcoal, and of sulphur. gunpowder explodes when heated to °, when struck, or by contact with a spark. a compact or finely-divided mass of gunpowder burns slowly and has but little disruptive action, because it burns gradually. to act properly the gunpowder must have a definite rate of combustion, so that the pressure should increase during the passage of the projectile along the barrel of the fire-arm. this is done by making the powder in large granules or in the shape of six-sided prisms with holes through them (prismatic powder). the products of combustion are of two kinds: ( ) gases which produce the pressure and are the cause of the dynamical action of gunpowder, and ( ) a solid residue, usually of a black colour owing to its containing unburnt particles of charcoal. besides charcoal, the residue generally contains potassium sulphide, k_{ }s, and a whole series of other salts--for instance, carbonate and sulphate. it is apparent from this that the combustion of gunpowder is not so simple as it appears to be from the above formula, and hence the weight of the residue is also greater than indicated by that formula. according to the formula, parts of gunpowder give parts of residue--that is, parts of powder give · parts of residue, k_{ }s, whilst in reality the weight of the residue varies from p.c. to p.c. (generally p.c.). this difference depends on the fact that so much oxygen (of the nitre) remains in the residue, and it is evident that if the residue varies the composition of the gases evolved by the powder will vary also, and therefore the entire process will be different in different cases. the difference in the composition of the gases and residue depends, as the researches of gay-lussac, shishkoff and bunsen, nobel and abel, federoff, debus, &c., show, on the conditions under which the combustion of the powder proceeds. when gunpowder burns in an open space, the gaseous products which are formed do not remain in contact with the residue, and then a considerable portion of the charcoal entering into the composition of the powder remains unburnt, because the charcoal burns after the sulphur at the expense of the oxygen of the nitre. in this extreme case the commencement of the combustion of the gunpowder may be expressed by the equation, kno_{ } + c + s = c + k_{ }so_{ } + co_{ } + n_{ }. the residue in a blank cartridge often consists of a mixture of c, k_{ }so_{ }, k_{ }co_{ }, and k_{ }s_{ }o_{ }. if the combustion of the gunpowder be impeded--if it take place in a cartridge in the barrel of a gun--the quantity of potassium sulphate will first be diminished, then the amount of sulphite, whilst the amount of carbonic anhydride in the gases and the amount of potassium sulphide in the residue will increase. the quantity of charcoal entering into the action will then be also increased, and hence the amount in the residue will decrease. under these circumstances the weight of the residue will be less--for example, k_{ }co_{ } + s = k_{ }so_{ } + k_{ }s + co_{ }. besides which, carbonic oxide has been found in the gases, and potassium bisulphide, k_{ }s_{ }, in the residue of gunpowder. the amount of potassium sulphide, k_{ }s, increases with the completeness of the combustion, and is formed in the residue at the expense of the potassium sulphite. in recent times the knowledge of the action of gunpowder and other explosives has made much progress, and has developed into a vast province of artillery science, which, guided by the discoveries of chemistry, has worked out a 'smokeless powder' which burns without leaving a residue, and does not therefore give any 'powder smoke' (to hinder the rapidity of firing and aiming), and at the same time disengages a greater volume of gas and consequently gives (under proper conditions of combustion) the possibility of communicating to the charge a greater initial velocity, and therefore greater distance, force, and accuracy of aim. such 'smokeless powder' is prepared either from the varieties of nitrocellulose (chapter vi., note ) or from a mixture of them with nitro-glycerine (_ibid_). in burning they give, besides steam and nitrogen, generally a large amount of oxide of carbon (this is a very serious drawback in all the present forms of smokeless powder, because carbonic oxide is poisonous), and also co_{ }, h_{ }, &c. _metallic potassium_ was obtained like sodium; first by the action of a galvanic current, then by reduction of the hydroxide by means of metallic iron, and lastly, by the action of charcoal on the carbonate at a high temperature. the behaviour of metallic potassium differs, however, from that of sodium, because it easily combines with carbonic oxide, forming an explosive and inflammable mass.[ ] [ ] the substances obtained in this case are mentioned in chapter ix., note . potassium is quite as volatile as sodium, if not more so. at the ordinary temperature potassium is even softer than sodium; its freshly-cut surfaces present a whiter colour than sodium, but, like the latter, and with even greater ease, it oxidises in moist air. it is brittle at low temperatures, but is quite soft at °, and melts at °. at a low red heat ( °, perkin) it distils without change, forming a green vapour, whose density,[ ] according to a. scott ( ), is equal to (if that of hydrogen = ). this shows that the molecule of potassium (like that of sodium, mercury, and zinc) contains but one atom. this is also the case with many other metals, judging by recent researches.[ ] the specific gravity of potassium at ° is · , and is therefore less than that of sodium, as is also the case with all its compounds.[ ] potassium decomposes water with great ease at the ordinary temperature, evolving , heat units per atomic weight in grams. the heat evolved is sufficient to inflame the hydrogen, the flame being coloured violet from the presence of particles of potassium.[ ] [ ] a. scott ( ) determined the vapour densities of many of the alkali elements and their compounds in a platinum vessel heated in a furnace and previously filled with nitrogen. but these, the first data concerning a subject of great importance, have not yet been sufficiently fully described, nor have they received as much attention as could be desired. taking the density of hydrogen as unity, scott found the vapour densities of the following substances to be-- na · ( · ). ki ( ). k ( · ). rbcl ( ). cscl · ( · ). csi ( ). fecl_{ } . agcl ( · ). in brackets are given the densities corresponding with the formulæ, according to avogadro-gerhardt's law. this figure is not given for fecl_{ }, because in all probability under these conditions (the temperature at which it was determined) a portion of the fecl_{ } was decomposed. if it was not decomposed, then a density would correspond with the formula fecl_{ }, and if the decomposition were fe_{ }cl_{ } = fecl_{ } + cl_{ }, then the density should be . with regard to the silver chloride, there is reason to think that the platinum decomposed this salt. the majority of scott's results so closely correspond with the formulæ that a better concord cannot be expected in such determinations. v. meyer ( ) gives as the density of ki. [ ] the molecules of non-metals are more complex--for instance, h_{ }, o_{ }, cl_{ }, &c. but arsenic, whose superficial appearance recalls that of metals, but whose chemical properties approach more nearly to the non-metals, has a complex molecule containing as_{ }. [ ] as the atomic weight of potassium is greater than that of sodium, the volumes of the molecules, or the quotients of the molecular weight by the specific gravity, for potassium compounds are greater than those of sodium compounds, because both the denominator and numerator of the fraction increase. we cite for comparison the volumes of the corresponding compounds-- na naho nacl nano_{ } na_{ }so_{ } k kho kcl kno_{ } k_{ }so_{ } [ ] the same precautions must be taken in decomposing water by potassium as have to be observed with sodium (chapter ii., note ). it must be observed that potassium decomposes carbonic anhydride and carbonic oxide when heated, the carbon being liberated and the oxygen taken up by the metal, whilst on the other hand charcoal takes up oxygen from potassium, as is seen from the preparation of potassium by heating potash with charcoal, hence the reaction k_{ }o + c = k_{ } + co is reversible and the relation is the same in this case as between hydrogen and zinc. with regard to the relation of potassium to hydrogen and oxygen, it is closely analogous to sodium in this respect. thus, with hydrogen it forms potassium hydride, k_{ }h (between ° and °), and with oxygen it gives a suboxide k_{ }o, oxide k_{ }o, and peroxide, only more oxygen enters into the composition of the latter than in sodium peroxide; potassium peroxide contains ko_{ }, but it is probable that in the combustion of potassium an oxide ko is also formed. potassium, like sodium, is soluble in mercury.[ ] in a word, the relation between sodium and potassium is as close as that between chlorine and bromine, or, better still, between fluorine and chlorine, as the atomic weight of sodium, , is as much greater than that of fluorine, , as that of potassium, , is greater than that of chlorine, · . [ ] _potassium_ forms _alloys with sodium_ in all proportions. the alloys containing and equivalents of potassium to one equivalent of sodium are _liquids_, like mercury at the ordinary temperature. joannis, by determining the amount of heat developed by these alloys in decomposing water, found the evolution for na_{ }k, nak, nak_{ } and nak_{ } to be · , · , · and · thousand heat units respectively (for na · and for k · ). the formation of the alloy nak_{ } is therefore accompanied by the development of heat, whilst the other alloys may be regarded as solutions of potassium or sodium in this alloy. in any case a fall of the temperature of fusion is evident in this instance as in the alloys of nitre (note ). the liquid alloy nak_{ } is now used for filling thermometers employed for temperatures above °, when mercury boils. the resemblance between _potassium_ and _sodium_ is so great that _their compounds_ can only be easily _distinguished_ in the form of certain of their salts. for instance, the acid potassium tartrate, c_{ }h_{ }ko_{ } (cream of tartar), is distinguished by its sparing solubility in water and in alcohol, and in a solution of tartaric acid, whilst the corresponding sodium salt is easily soluble. therefore, if a solution of tartaric acid be added in considerable excess to the solutions of the majority of potassium salts, a precipitate of the sparingly-soluble acid salt is formed, which does not occur with salts of sodium. the chlorides kcl and nacl in solutions easily give double salts k_{ }ptcl_{ } and na_{ }ptcl_{ }, with platinic chloride, ptcl_{ }, and the solubility of these salts is very different, especially in a mixture of alcohol and ether. the sodium salt is easily soluble, whilst the potassium salt is insoluble or almost so, and therefore the reaction with platinic chloride is that most often used for the separation of potassium from sodium, as is more fully described in works on analytical chemistry. it is possible to discover the least traces of these metals in admixture together, by means of their property of imparting different colours to _a flame_. the presence of a salt of sodium in a flame is recognised by a brilliant yellow coloration, and a pure potassium salt colours a colourless flame violet. however, in the presence of a sodium salt the pale violet coloration given by a potassium salt is quite undistinguishable, and it is at first sight impossible in this case to discover the potassium salt in the presence of that of sodium. but by decomposing the light given by a flame coloured by these metals or a mixture of them, by means of a prism, they are both easily distinguishable, because the yellow light emitted by the sodium salt depends on a group of light rays having a definite index of refraction which corresponds with the yellow portion of the solar spectrum, having the index of refraction of the fraunhofer line (strictly speaking, group of lines) d, whilst the salts of potassium give a light from which these rays are entirely absent, but which contain rays of a red and violet colour. therefore, if a potassium salt occur in a flame, on decomposing the light (after passing it through a narrow slit) by means of a prism, there will be seen red and violet bands of light situated at a considerable distance from each other; whilst if a sodium salt be present a yellow line will also appear. if both metals simultaneously occur in a flame and emit light, the spectrum lines corresponding to the potassium and the sodium will appear simultaneously. [illustration: fig. .--spectroscope. the prism and table are covered with an opaque cover. the spectrum obtained from the flame coloured by a substance introduced on the wire is viewed through b. a light is placed before the scale d in order to illuminate the image of the scale reflected through b by the side of the prism.] for convenience in carrying on this kind of testing, _spectroscopes_ (fig. ) are constructed,[ ] consisting of a refracting prism and three tubes placed in the plane of the refracting angle of the prism. one of the tubes, c, has a vertical slit at the end, giving access to the light to be tested, which then passes into the tube (collimator), containing a lens which gives the rays a parallel direction. the rays of light having passed through the slit, and having become parallel, are refracted and dispersed in the prism, and the spectrum formed is observed through the eye-piece of the other telescope b. the third tube d contains a horizontal transparent scale (at the outer end) which is divided into equal divisions. the light from a source such as a gas burner or candle placed before this tube, passes through the scale, and is reflected on that face of the prism which stands before the telescope b, so that the image of the scale is seen through this telescope simultaneously with the spectrum given by the rays passing through the slit of the tube c. in this manner the image of the scale and the spectrum given by the source of light under investigation are seen simultaneously. if the sun's rays be directed through the slit of the tube c, then the observer looking through the eye-piece of b will see the solar spectrum, and (if the aperture of the slit be narrow and the apparatus correctly adjusted) the dark fraunhofer lines in it.[ ] small-sized spectroscopes are usually so adjusted that (looking through b) the violet portion of the spectrum is seen to the right and the red portion to the left, and the fraunhofer line d (in the bright yellow portion of the spectrum) is situated on the th division of the scale.[ ] if the light emitted by an incandescent solid--for example, the drummond light--be passed through the spectroscope, then all the colours of the solar spectrum are seen, but not the fraunhofer lines. to observe the result given by a flame coloured by various salts a bunsen gas burner (or the pale flame of hydrogen gas issuing from a platinum orifice) giving so pale a flame that its spectrum will be practically invisible is placed before the slit. if any compound of sodium be placed in the flame of the gas burner (for which purpose a platinum wire on whose end sodium chloride is fused is fixed to the stand), then the flame is coloured yellow, and on looking through the spectroscope the observer will see a bright _yellow_ line falling upon the th division of the scale, which is seen together with the spectrum in the telescope. no yellow lines of other refractive index, nor any rays of any other colour, will be seen, and, therefore, the spectrum corresponding with sodium compounds consists of yellow rays of that index of refraction which belong to the fraunhofer (black) line d of the solar spectrum. if a potassium salt be introduced into the flame instead of a sodium salt, then two bands will be seen which are much feebler than the bright sodium band--namely, one red line near the fraunhofer line a and another violet line. besides which, a pale, almost continuous, spectrum will be observed in the central portions of the scale. if a mixture of sodium and potassium salts be now introduced into the flame, three lines will be seen simultaneously--namely, the red and pale violet lines of potassium and the yellow line of sodium. in this manner it is possible, by the aid of the spectroscope, to determine the relation between the spectra of metals and known portions of the solar spectrum. the continuity of the latter is interrupted by dark lines (that is, by an absence of light of a definite index of refraction), termed the fraunhofer lines of the solar spectrum. it has been shown by careful observations (by fraunhofer, brewster, foucault, Ångstrom, kirchhoff, cornu, lockyer, dewar, and others) that there exists an exact _agreement between the spectra_ of certain _metals_ and certain of the _fraunhofer_ lines. thus the bright yellow sodium line exactly corresponds with the dark fraunhofer line d of the solar spectrum. a similar agreement is observed in the case of many other metals. this is not an approximate or chance correlation. in fact, if a spectroscope having a large number of refracting prisms and a high magnifying power be used, it is seen that the dark line d of the solar spectrum consists of an entire system of closely adjacent but definitely situated fine and wide (sharp, distinct) dark lines,[ ] and an exactly similar group of bright lines is obtained when the yellow sodium line is examined through the same apparatus, so that each bright sodium line exactly corresponds with a dark line in the solar spectrum.[ bis] this conformity of the bright lines formed by sodium with the dark lines of the solar spectrum cannot be accidental. this conclusion is further confirmed by the fact that the bright lines of other metals correspond with dark lines of the solar spectrum. thus, for example, a series of sparks passing between the iron electrodes of a ruhmkorff coil gives very distinct lines characterising this metal. all these bright lines, constituting the whole spectrum corresponding with iron, are repeated, as kirchhoff showed, in the solar spectrum as dark fraunhofer lines which occur in exactly the same situations as the bright lines in the iron spectrum, just as the sodium lines correspond with the band d in the solar spectrum. many observers have in this manner studied the solar spectrum and the spectra of different metals simultaneously, and discovered in the former lines which correspond not only with sodium and iron, but also with many other metals.[ ] the spectra of such elements as hydrogen, oxygen, nitrogen, and other gases may be observed in the so-called geissler's tubes--that is, in glass tubes containing rarefied gases, through which the discharge of a ruhmkorff's coil is passed. thus hydrogen gives a spectrum composed of three lines--a red line corresponding with the fraunhofer line c, a green line corresponding with the line f, and a violet line corresponding with one of the lines between g and h. of these rays the red is the brightest, and therefore the general colour of luminous hydrogen (with an electric discharge through a geissler tube) is reddish. [ ] for accurate measurements and comparative researches more complicated spectroscopes are required which give a greater dispersion, and are furnished for this purpose with several prisms--for example, in browning's spectroscope the light passes through six prisms, and then, having undergone an internal total reflection, passes through the upper portion of the same six prisms, and again by an internal total reflection passes into the ocular tube. with such a powerful dispersion the relative position of the spectral lines may be determined with accuracy. for the absolute and exact determination of the wave lengths it is particularly important that the spectroscope should be furnished with diffraction gratings. the construction of spectroscopes destined for special purposes (for example, for investigating the light of stars, or for determining the absorption spectra in microscopic preparations, &c.) is exceedingly varied. details of the subject must be looked for in works on physics and on spectrum analysis. among the latter the best known for their completeness and merit are those of roscoe, kayser, vogel, and lecoq de boisbaudran. [ ] the arrangement of all the parts of the apparatus so as to give the clearest possible vision and accuracy of observation must evidently precede every kind of spectroscopic determination. details concerning the practical use of the spectroscope must be looked for in special works on the subject. in this treatise the reader is supposed to have a certain knowledge of the physical data respecting the refraction of light, and its dispersion and diffraction, and the theory of light, which allows of the determination of the length of the waves of light in absolute measure on the basis of observations with diffraction gratings, the distance between whose divisions may be easily measured in fractions of a millimetre; by such means it is possible to determine the wave-length of any given ray of light. [ ] in order to give an idea of the size of the scale, we may observe that the ordinary spectrum extends from the zero of the scale (where the red portion is situated) to the th division (where the end of the visible violet portion of the spectrum is situated), and that the fraunhofer line a (the extreme prominent line in the red) corresponds with the th division of the scale; the fraunhofer line f (at the beginning of the blue, near the green colour) is situated on the th division, and the line g, which is clearly seen in the beginning of the violet portion of the spectrum, corresponds with the th division of the scale. [ ] the two most distinct lines of d, or of sodium, have wave-lengths of · and · millionths of a millimeter, besides which fainter and fainter lines are seen whose wave-lengths in millionths of a millimeter are · and · , · and · , · and · , · and · , &c., according to liveing and dewar. [ bis] in the ordinary spectroscopes which are usually employed in chemical research, one yellow band, which does not split up into thinner lines, is seen instead of the system of sodium lines, owing to the small dispersive power of the prism and the width of the slit of the object tube. [ ] the most accurate investigations made in this respect are carried on with spectra obtained by diffraction, because in this case the position of the dark and bright lines does not depend on the index of refraction of the material of the prism, nor on the dispersive power of the apparatus. the best--that is, the most general and accurate--method of expressing the results of such determinations consists in determining the lengths of the waves corresponding to the rays of a definite index of refraction. (sometimes instead of this the fraction of divided by the square of the wave-length is given.) we will express this _wave-length_ in _millionth parts of a millimetre_ (the ten-millionth parts are already doubtful, and fall within the limits of error). in order to illustrate the relation between the wave-lengths and the positions of the lines of the spectrum, we will cite the wave-lengths corresponding with the chief fraunhofer lines and colours of the spectrum. fraunhofer line a b c d e b wave-length · · · · - · · · +-----------------+ +---------+ +----+ +---+ colour red orange yellow green fraunhofer line f g h wave-length · · · +----------+ +----+ colour blue violet in the following table are given the _wave-lengths_ of the light rays (the longest and most distinct, _see_ later) for certain elements, those in black type being the most clearly defined and distinct lines, which are easily obtained either in the flame of a bunsen's burner, or in geissler's tubes, or in general, by an electric discharge. these lines refer to the elements (the lines of compounds are different, as will be afterwards explained, but many compounds are decomposed by the flame or by an electric discharge), and moreover to the elements in an incandescent and rarefied gaseous state, for the spectra sometimes vary considerably with a variation of temperature and pressure. it may be mentioned that the _red_ colour corresponds with lines having a wave-length of from (with a greater wave-length the lines are hardly visible, and are ultra red) to , the _orange_ from to , the _yellow_ from to , the _green_ from to , the _blue_ from to , and the _violet_ from to millionth parts of a millimetre. beyond the lines are scarcely visible, and belong to the ultra-violet. for fluorine moissan found as many as bright lines from to . in the table (p. ) which is arranged in conformity with the image of the spectrum as it is seen (the red lines on the left-hand and the violet on the right-hand side), the figures in black type correspond with lines which are so bright and distinctly visible that they may easily be made use of, both in determining the relation between the divisions of the scale and the wave-lengths, and in determining the admixture of a given element with another. brackets join those lines between which several other lines are clearly visible if the dispersive power of the spectroscope permits distinguishing the neighbouring lines. in the ordinary laboratory spectroscopes with one prism, even with all possible precision of arrangement and with a brilliancy of light permitting the observations being made with a very narrow aperture, the lines whose wave-lengths only differ by - millionths of a millimetre, are blurred together; and with a wide aperture a series of lines differing by even as much as millionths of a millimetre appear as one wide line. with a faint light (that is, with a small quantity of light entering into the spectroscope) only the most _brilliant_ lines are clearly visible. the _length_ of the lines does not always correspond with their brilliancy. according to lockyer this length is determined by placing the carbon electrodes (between which the incandescent vapours of the metals are formed), not horizontally to the slit (as they are generally placed, to give more light), but vertically to it. then certain lines appear long and others short. as a rule (lockyer, dewar, cornu), the longest lines are those with which it is easiest to obtain _reversed_ spectra (_see_ later). consequently, these lines are the most characteristic. only the longest and most brilliant are given in our table, which is composed on the basis of a collection of the data at our disposal for _bright_ spectra of the _incandescent and rarefied vapours of the elements_. as the spectra change with great variations of temperature and vapour density (the faint lines become brilliant whilst the bright lines sometimes disappear), which is particularly clear from ciamician's researches on the halogens, until the method of observation and the theory of the subject are enlarged, particular theoretical importance should not be given to the wave-lengths showing the maximum brilliancy, which only possess a practical significance in the common methods of spectroscopic observations. in general the spectra of metals are simpler than those of the halogens, and the latter are variable; at an increased pressure all spectral lines become broader. +-------+-------+--------+--------+-------+-------+------+------+ | n_{ } | o_{ } | cl_{ } | br_{ } | i_{ } | pb | sn | tl | +-------+-------+--------+--------+-------+-------+------+------+ | -- | -- | -- | -- | -- | -- | -- | -- | | -- | -- | -- | -- | -- | -- | -- | -- | | | -- | -- | -- | -- | -- | -- | -- | | } | -- | -- | | -- | -- | | -- | | } | | -- | -- | | -- | -- | -- | | } | -- | -- | -- | | · | } | -- | | } | -- | } | -- | } | · | } | -- | | } | | } | } | } | · | -- | | | } | | } | } | } | | -- | | | } | | } | | } | -- | -- | -- | | } | } | } | | -- | -- | -- | | | -- | } | } | } | -- | -- | -- | -- | | | } | -- | } | -- | -- | | -- | | | } | -- | | | -- | -- | -- | | } | } | } | | -- | -- | -- | -- | | } | } | } | -- | -- | -- | -- | -- | | -- | -- | -- | -- | | -- | -- | -- | | -- | -- | -- | -- | -- | -- | -- | -- | | | -- | -- | -- | -- | | -- | -- | | -- | -- | -- | -- | -- | -- | -- | -- | +-------+-------+--------+--------+-------+-------+------+------+ +-----+-----+-----+-------+-----+------+------+-----+-------+-----+ | in | ga | al | ba | sr | ca | mg | zn | cd | hg | |-----+-----+-----+-------+-----|------+------|-----+-------+-----+ | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- | | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- | | -- | -- | -- | -- | -- | | -- | -- | -- | -- | | -- | -- | | · | | | -- | | · | -- | | | -- | | | | -- | -- | -- | -- | | | -- | -- | -- | -- | -- | | -- | -- | -- | | | -- | -- | | · | -- | -- | -- | -- | -- | | | -- | -- | | | | | -- | -- | · | | | | -- | -- | -- | | -- | | -- | · | -- | | -- | -- | -- | -- | -- | -- | | | · | -- | | -- | -- | -- | · | -- | -- | -- | | -- | -- | | -- | -- | -- | -- | -- | -- | | | · | -- | | | -- | | | | -- | -- | | · | -- | | -- | -- | -- | -- | -- | } | | -- | -- | -- | | -- | -- | -- | -- | -- | } | -- | -- | -- | | | -- | -- | -- | -- | | -- | -- | -- | -- | -- | | -- | | -- | -- | | | -- | -- | -- | -- | | -- | -- | -- | | -- | -- | -- | -- | -- | -- | | | | | -- | | | } | -- | -- | | | -- | -- | | -- | -- | | } | - -| -- | -- | +-----+-----+-----+-------+-----+------+------+-----+-------+-----+ +------+------+-----+-------+-----+-------+------+-------+-------+ | mn | fe | cu | ag | cs | rb | k | na | li | |------+------+-----+-------+-----+-------+------+-------+-------+ | -- | -- | -- | -- | -- | | | -- | -- | | -- | -- | -- | -- | -- | -- | | -- | -- | | -- | -- | -- | -- | -- | -- | -- | -- | · | | -- | | -- | -- | -- | -- | -- | -- | -- | | } | -- | -- | -- | | · | -- | -- | | | } | } | | -- | | -- | } | · | -- | | } | } | | · | -- | -- | } | · | -- | | } | | | -- | -- | -- | -- | -- | -- | | -- | } | | · | -- | -- | | -- | -- | | -- | } | | -- | -- | -- | } | -- | -- | | } | } | -- | -- | -- | -- | -- | -- | | | } | } | -- | -- | -- | -- | -- | -- | -- | | -- | -- | -- | -- | | -- | -- | -- | · | | -- | } | -- | -- | | -- | -- | -- | -- | | -- | } | -- | -- | -- | -- | -- | -- | -- | | -- | | -- | -- | -- | -- | -- | -- | -- | | } | -- | -- | | -- | | -- | -- | -- | | } | } | -- | -- | -- | -- | -- | -- | -- | | -- | } | -- | -- | -- | -- | | -- | -- | | -- | -- | -- | -- | -- | -- | -- | -- | -- | +------+------+-----+-------+-----+-------+------+-------+-------+ +-------+ | h_{ } | +-------+ | -- | | -- | | -- | | · | | -- | | -- | | -- | | -- | | -- | | -- | | · | | -- | | -- | | -- | | | | -- | | -- | | -- | | -- | | -- | +-------+ [illustration: fig. .--absorption spectrum (lecoq de boisbaudran) of salts of didymium in concentrated and dilute solutions.] the correlation of the fraunhofer lines with the spectra of metals depends on the phenomenon of the so-called _reversal of the spectrum_. this phenomenon consists in this, that instead of the bright spectrum corresponding with a metal, under certain circumstances a similar dark spectrum in the form of fraunhofer lines may be obtained, as will be explained directly. in order to clearly understand the phenomenon of reversed spectra, it must be known that when light passes through certain transparent substances these substances retain rays of a certain refrangibility. the colour of solutions is a proof of this. light which has passed through a yellow solution of a uranium salt contains no violet rays, and after having passed through a red solution of a permanganate, does not contain many rays in the yellow, blue, and green portions of the spectrum. solutions of copper salts absorb nearly all red rays. sometimes colourless solutions also absorb rays of certain definite refractive indexes, and give _absorption spectra_. thus solutions of salts of didymium absorb rays of a certain refrangibility, and therefore an impression of black lines is received,[ ] as shown in fig. . many vapours (iodine) and gases (nitric peroxide) give similar spectra. light which has passed through a deep layer of aqueous vapour, oxygen, or nitrogen also gives an absorption spectrum. for this reason the peculiar (winter) dark lines discovered by brewster are observed in sunlight, especially in the evening and morning, when the sun's rays pass through the atmosphere (containing these substances) by a longer path than at mid-day. it is evident that the fraunhofer lines may be ascribed to the absorption of certain rays of light in its passage from the luminous mass of the sun to the earth. the remarkable progress made in all spectroscopic research dates from the investigations made by _kirchhoff_ ( ) on the relation between absorption spectra and the spectra of luminous incandescent gases. it had already been observed long before (by fraunhofer, foucault, Ångstrom) that the bright spectrum of the sodium flame gives two bright lines which are in exactly the same position as two black lines known as d in the solar spectrum, which evidently belong to an absorption spectrum. when kirchhoff caused diffused sunlight to fall upon the slit of a spectroscope, and placed a sodium flame before it, a perfect superposition was observed--the bright sodium lines completely covered the black lines d of the solar spectrum. when further the continuous spectrum of a drummond light showed the black line d on placing a sodium flame between it and the slit of the spectroscope--that is, when the fraunhofer line of the solar spectrum was artificially produced--then there was no doubt that its appearance in the solar spectrum was due to the light passing somewhere through incandescent vapours of sodium. hence a new theory of _reversed spectra_[ ] arose--that is, of the relation between the waves of light emitted and absorbed by a substance under given conditions of temperature; this is expressed by kirchhoff's law, discovered by a careful analysis of the phenomena. this law may be formulated in an elementary way as follows: at a given temperature the relation between the intensity of the light emitted (of a definite wave-length) and the absorptive capacity with respect to the same colour (of the same wave-length) is a constant quantity.[ ] as a black dull surface emits and also absorbs a considerable quantity of heat rays whilst a polished metallic surface both absorbs and emits but few, so a flame coloured by sodium emits a considerable quantity of yellow rays of a definite refrangibility, and has the property of absorbing a considerable quantity of the rays of the same refractive index. in general, the medium which emits definite rays also absorbs them. [ ] the method of observing absorption spectra consists in taking a continuous spectrum of white light (one which does not show either dark lines or particularly bright luminous bands--for instance, the light of a candle, lamp, or other source). the collimator (that is, the tube with the slit) is directed towards this light, and then all the colours of the spectrum are visible in the ocular tube. a transparent absorptive medium--for instance, a solution or tube containing a gas--is then placed between the source of light and the apparatus (or anywhere inside the apparatus itself in the path of the rays). in this case either the entire spectrum is uniformly fainter, or absorption bands appear on the bright field of the continuous spectrum in definite positions along it. these bands have different lengths and positions, and distinctness and intensity of absorption, according to the properties of the absorptive medium. like the luminous spectra given by incandescent gases and vapours, the absorption spectra of a number of substances have already been studied, and some with great precision--as, for example, the spectrum of the brown vapours of nitrogen dioxide by hasselberg (at pulkowa), the spectra of colouring matters (eder and others), especially of those applied to orthochromatic photography, the spectra of blood, chlorophyll (the green constituent of leaves), and other similar substances, all the more carefully as by the aid of their spectra the presence of these substances may be discovered in small quantities (even in microscopical quantities, by the aid of special appliances on the microscope), and the changes they undergo investigated. [illustration: fig. .--absorption spectra of nitrogen dioxide and iodine.] the absorption spectra, obtained at the ordinary temperature and proper to substances in all physical states, offer a most extensive but as yet little studied field, both for the general theory of spectroscopy, and for gaining an insight into the structure of substances. the investigation of colouring matters has already shown that in certain cases a definite change of composition and structure entails not only a definite change of the colours but also a displacement of the absorption bands by a definite number of wave-lengths. [ ] a number of methods have been invented to demonstrate the reversibility of spectra; among these methods we will cite two which are very easily carried out. in bunsen's method sodium chloride is put into an apparatus for evolving hydrogen (the spray of the salt is then carried off by the hydrogen and colours the flame with the yellow sodium colour), and the hydrogen is ignited in two burners--in one large one with a wide flame giving a bright yellow sodium light, and in another with a small fine orifice whose flame is pale: this flame will throw a dark patch on the large bright flame. in ladoffsky's method the front tube (p. ) is unscrewed from a spectroscope directed towards the light of a lamp (a continuous spectrum), and the flame of a spirit lamp coloured by a small quantity of nacl is placed between the tube and the prism; a black band corresponding to sodium will then be seen on looking through the ocular tube. this experiment is always successful if only there be the requisite relation between the strength of light of the two lamps. [ ] the absorptive capacity is the relation between the intensity of the light (of a given wave-length) falling upon and retained by a substance. bunsen and roscoe showed by direct experiment that this ratio is a constant quantity for every substance. if _a_ stand for this ratio for a given substance at a given temperature--for instance, for a flame coloured by sodium--and _e_ be the intensity of the light of the same wave-length emitted at the same temperature by the same substance, then kirchhoff's law, the explanation and deduction of which must be looked for in text-books of physics, states that the fraction _a/e_ is a constant quantity depending on the nature of a substance (as _a_ depends on it) and determined by the temperature and wave-length. [illustration: fig. .--bright spectra of copper compounds.] thus the bright spectral rays characteristic of a given metal may be reversed--that is, converted into dark lines--by passing light which gives a continuous spectrum through a space containing the heated vapours of the given metal. a similar phenomenon to that thus artificially produced is observed in sunlight, which shows dark lines characteristic of known metals--that is, the fraunhofer lines form an absorption spectrum or depend on a reversed spectrum; it being presupposed that the sun itself, like all known sources of artificial light, gives a continuous spectrum without fraunhofer lines.[ ] we must imagine that the sun, owing to the high temperature which is proper to it, emits a brilliant light which gives a continuous spectrum, and that this light, before reaching our eyes, passes through a space full of the vapours of different metals and their compounds. as the earth's atmosphere[ ] contains very little, or no, metallic vapours, and as they cannot be supposed to exist in the celestial space,[ bis] the only place in which the existence of such vapours can be admitted is in the _atmosphere surrounding the sun itself_. as the cause of the sun's luminosity must be looked for in its high temperature, the existence of an atmosphere containing metallic vapours is readily understood, because at that high temperature such metals as sodium, and even iron, are separated from their compounds and converted into vapour. the sun must be imagined as surrounded by an atmosphere of incandescent vaporous and gaseous matter,[ ] including those elements whose reversed spectra correspond with the fraunhofer lines--namely, sodium, iron, hydrogen, lithium, calcium, magnesium, &c. thus in spectrum analysis we find a means of determining the composition of the inaccessible heavenly luminaries, and much has been done in this respect since kirchhoff's theory was formulated. by observations on the spectra of many heavenly bodies, changes have been discovered going on in them,[ ] and many of the elements known to us have been found with certainty in them.[ ] from this it must be concluded that the same elements which exist on the earth occur throughout the whole universe, and that at that degree of heat which is proper to the sun those simple substances which we accept as the elements in chemistry are still undecomposed and remain unchanged. a high temperature forms one of those conditions under which compounds most easily decompose; and if sodium or a similar element were a compound, in all probability it would be decomposed into component parts at the high temperature of the sun. this may indeed be concluded from the fact that in ordinary spectroscopic experiments the spectra obtained often belong to the metals and not to the compounds taken; this depends on the decomposition of these compounds in the heat of the flame. if common salt be introduced into the flame of a gas-burner, a portion of it is decomposed, first forming, in all probability, with water, hydrochloric acid and sodium hydroxide, and the latter then becoming partially decomposed by the hydrocarbons, giving metallic sodium, whose incandescent vapour emits light of a definite refrangibility. this conclusion is arrived at from the following experiment:--if hydrochloric acid gas be introduced into a flame coloured by sodium it is observed that the sodium spectrum disappears, owing to the fact that metallic sodium cannot remain in the flame in the presence of an excess of hydrochloric acid. the same thing takes place on the addition of sal-ammoniac, which in the heat of the flame gives hydrochloric acid. if a porcelain tube containing sodium chloride (or sodium hydroxide or carbonate), and closed at both ends by glass plates, be so powerfully heated that the salt volatilises, then the sodium spectrum is not observable; but if the salt be replaced by sodium, then either the bright line or the absorption spectra is obtained, according to whether the light emitted by the incandescent vapour be observed, or light passing through the tube. thus the above spectrum is not given by sodium chloride or other sodium compound, but is proper to the metal sodium itself. this is also the case with other analogous metals. the chlorides and other halogen _compounds_ of barium, calcium, copper, &c., give independent spectra which differ from those of the metals. if barium chloride be introduced into a flame, it gives a mixed spectrum belonging to metallic barium and barium chloride. if besides barium chloride, hydrochloric acid or sal-ammoniac be introduced into the flame, then the spectrum of the metal disappears, and that of the chloride remains, which differs distinctly from the spectrum of barium fluoride, barium bromide, or barium iodide. a certain common resemblance and certain common lines are observed in the spectra of two different compounds of one and the same element obtained in the above-described manner, and also in the spectrum of the metal, but they all have their peculiarities. the independent spectra of the compounds of copper are easily observed (fig. ). thus certain compounds which exist in a state of vapour, and are luminous at a high temperature, give their independent spectra. in the majority of cases the spectra of compounds are composed of indistinct luminous lines and complete bright bands, whilst metallic elements generally give a few clearly-defined spectral lines.[ ] there is no reason for supposing that the spectrum of a compound is equal to the sum of the spectra of its elements--that is, _every compound_ which is not decomposed by heat _has its own proper spectrum_. this is best proved by absorption spectra, which are essentially only reversed spectra observed at low temperatures. if every salt of sodium, lithium, and potassium gives one and the same spectrum, this must be ascribed to the presence in the flame of the free metals liberated by the decomposition of their salts. therefore _the phenomena of the spectrum are determined by molecules, and not by atoms_--that is, the molecules of the metal sodium, and not its atoms, produce those particular vibrations which determine the spectrum of a sodium salt. where there is no free metallic sodium there is no sodium spectrum. [ ] heated metals begin to emit light (only visible in the dark) at about ° (varying with the metal). on further heating, solids first emit red, then yellow, and lastly white light. compressed or heavy gases (_see_ chapter iii., note ), when strongly heated, also emit white light. heated liquids (for example, molten steel or platinum) also give a white compound light. this is readily understood. in a dense mass of matter the collisions of the molecules and atoms are so frequent that waves of only a few definite lengths cannot appear; the reverse is possible in rarefied gases or vapours. [ ] brewster, as is mentioned above, first distinguished the atmospheric, cosmical fraunhofer lines from the solar lines. janssen showed that the spectrum of the atmosphere contains lines which depend on the absorption produced by aqueous vapour. egoreff, olszewski, janssen, and liveing and dewar showed by a series of experiments that the oxygen of the atmosphere gives rise to certain lines of the solar spectrum, especially the line a. liveing and dewar took a layer of c.m. of oxygen compressed under a pressure of atmospheres, and determined its absorption spectrum, and found that, besides the fraunhofer lines a and b, it contained the following groups: - , - , , - . the same lines were found for liquid oxygen. [ bis] if the material of the whole heavenly space formed the absorbent medium, the spectra of the stars would be the same as the solar spectrum; but huyghens, lockyer, and others showed not only that this is the case for only a few stars, but that the majority of stars give spectra of a different character with dark and bright lines and bands. [ ] eruptions, like our volcanic eruptions, but on an incomparably larger scale, are of frequent occurrence on the sun. they are seen as protuberances visible during a total eclipse of the sun, in the form of vaporous masses on the edge of the solar disc and emitting a faint light. these protuberances of the sun are now observed at all times by means of the spectroscope (lockyer's method), because they contain luminous vapours (giving bright lines) of hydrogen and other elements. [ ] the great interest and vastness of astro-physical observations concerning the sun, comets, stars, nebulæ, &c., render this new province of natural science very important, and necessitate referring the reader to special works on the subject. the most important astro-physical data since the time of kellner are those referring to the _displacement_ of the lines of the spectrum. just as a musical note changes its pitch with the approach or withdrawal of the resonant object or the ear, so the pitch of the luminous note or wave-length of the light varies if the luminous (or absorbent) vapour and the earth from which we observe it approach or recede from each other; this expresses itself in a visible displacement of the spectral lines. the solar eruptions even give broken lines in the spectrum, because the rapidly moving eruptive masses of vapour and gases either travel in the direction of the eye or fall back towards the sun. as the earth travels with the solar system among the stars, so it is possible to determine the direction and velocity with which the sun travels in space by the displacement of the spectral lines and light of the stars. the changes proceeding on the sun in its mass, which must be pronounced as vaporous, and in its atmosphere, are now studied by means of the spectroscope. for this purpose, many special astro-physical observatories now exist where these investigations are carried on. we may remark that if the observer or luminous object moves with a velocity ±_v_, the ray, whose wave-length is [greek: l], has an apparent wave-length [greek: l](_n_±_v_)/_n_, where _n_ is the velocity of light. thus tolon, huyghens, and others proved that the star aldebaran approaches the solar system with a velocity of kilometres per second, while arcturus is receding with a velocity of kilometres. the majority of stars give a distinct hydrogen spectrum, besides which nebulæ also give the spectrum of nitrogen. lockyer classes the stars from their spectra, according to their period of formation, showing that some stars are in a period of increasing temperature (of formation or aggregation), whilst others are in a period of cooling. altogether, in the astro-physical investigation of the spectra of heavenly bodies we find one of the most interesting subjects of recent science. [ ] spectrum analysis has proved the indubitable existence in the sun and stars of a number of elements known in chemistry. huyghens, secchi, lockyer, and others have furnished a large amount of material upon this subject. a compilation of existing information on it has been given by prof. s. a. kleiber, in the journal of the russian physico-chemical society for (vol. xviii. p. ). besides which, a peculiar element called helium has been discovered, which is characterised by a line (whose wave-length is · , situated near d), which is seen very brightly in the projections (protuberances) and spots of the sun, but which does not belong to any known element, and is not reproducible as a reversed, dark line. this may be a right conclusion--that is to say, it is possible that an element may be discovered to which the spectrum of helium corresponds--but it may be that the helium line belongs to one of the known elements, because spectra vary in the brilliancy and position of their lines with changes of temperature and pressure. thus, for instance, lockyer could only see the line , at the very end of the calcium spectrum, at comparatively low temperatures, whilst the lines and appear at a higher temperature, and at a still higher temperature the line becomes quite invisible. [ ] spectroscopic observations are still further complicated by the fact that one and the same substance gives different spectra at different temperatures. this is especially the case with gases whose spectra are obtained by an electric discharge in tubes. plücker, wüllner, schuster, and others showed that at low temperatures and pressures the spectra of iodine, sulphur, nitrogen, oxygen, &c. are quite different from the spectra of the same elements at high temperatures and pressures. this may either depend on the fact that the elements change their molecular structure with a change of temperature, just as ozone is converted into oxygen (for instance, from n_{ } molecules are obtained containing only one atom of nitrogen), or else it may be because at low temperature certain rays have a greater relative intensity than those which appear at higher temperatures. if we suppose that the molecules of a gas are in continual motion, with a velocity dependent on the temperature, then it must be admitted that they often strike against each other and rebound, and thus communicate peculiar motions to each other and the supposed ether, which express themselves in luminiferous phenomena. a rise of the temperature or an increase in the density of a gas must have an influence on the collision of its molecules and luminiferous motions thus produced, and this may be the cause of the difference of the spectra under these circumstances. it has been shown by direct experiment that gases compressed by pressure, when the collision of the molecules must be frequent and varied, exhibit a more complex spectrum on the passage of an electric spark than rarefied gases, and that even a continuous spectrum appears. in order to show the variability of the spectrum according to the circumstances under which it proceeds, it may be mentioned that potassium sulphate fused on a platinum wire gives, on the passage of a series of sparks, a distinct system of lines, - , whilst when a series of sparks is passed through a solution of this salt this system of lines is faint, and when roscoe and schuster observed the absorption spectrum of the vapour of metallic potassium (which is green) they remarked a number of lines of the same intensity as the above system in the red, orange, and yellow portions. [illustration: fig. .--method of showing the spectrum of substances in solution.] the spectra of solutions are best observed by means of lecoq de boisbaudran's arrangement, shown in fig. . a bent capillary tube, d f, inside which a platinum wire, a _a_ (from · to · mm. in diameter) is fused, is immersed in a narrow cylinder, c (in which it is firmly held by a cork). the projecting end, _a_, of the wire is covered by a fine capillary tube, _d_, which extends - mm. beyond the wire. another straight capillary tube, e, with a platinum wire, b _b_, about mm. in diameter (a finer wire soon becomes hot), is held (by a cork or in a stand) above the end of the tube, d. if the wire a be now connected with the positive, and the wire b with the negative terminal of a ruhmkorff's coil (if the wires be connected in the opposite order, the spectrum of air is obtained), a series of sparks rapidly following each other appear between _a_ and _b_, and their light may be examined by placing the apparatus in front of the slit of a spectroscope. the variations to which a spectrum is liable may easily be observed by increasing the distance between the wires, altering the direction of the current or strength of the solution, &c. _spectrum analysis_ has not only endowed science with a knowledge of the composition of distant heavenly bodies (of the sun, stars, nebulæ, comets, &c.), but has also given a new _method_ for studying the matter of the earth's surface. with its help bunsen discovered two new elements belonging to the group of the alkali metals, and thallium, indium, and gallium were afterwards discovered by the same means. the spectroscope is employed in the study of rare metals (which in solution often give distinct absorption spectra), of dyes, and of many organic substances, &c.[ ] with respect to the metals which are analogous to sodium, they all give similar very volatile salts and such very characteristic spectra that the least traces of them[ ] are discovered with great ease by means of the spectroscope. for instance, _lithium_ gives a very brilliant red coloration to a flame and a very bright red spectral line (wave-length, millionths mm.), which indicates the presence of this metal in admixture with compounds of other alkali metals. [ ] the importance of the spectroscope for the purpose of chemical research was already shown by gladstone in , but it did not become an accessory to the laboratory until after the discoveries of kirchhoff and bunsen. it may be hoped that in time spectroscopic researches will meet certain wants of the theoretical (philosophical) side of chemistry, but as yet all that has been done in this respect can only be regarded as attempts which have not yet led to any trustworthy conclusions. thus many investigators, by collating the wave-lengths of all the light vibrations excited by a given element, endeavour to find the law governing their mutual relations; others (especially hartley and ciamician), by comparing the spectra of analogous elements (for instance, chlorine, bromine, and iodine), have succeeded in noticing definite features of resemblance in them, whilst others (grünwald) search for relations between the spectra of compounds and their component elements, &c.; but--owing to the multiplicity of the spectral lines proper to many elements, and (especially in the ultra-red and ultra-violet ends of the spectrum) the existence of lines which are undistinguishable owing to their faintness, and also owing to the comparative novelty of spectroscopic research--this subject cannot be considered as in any way perfected. nevertheless, in certain instances there is evidently some relationship between the wave-lengths of all the spectral lines formed by a given element. thus, in the hydrogen spectrum the wave-length = · _m_^ /(_m_^{ }- ), if _m_ varies as a series of whole numbers from to (walmer, hagebach, and others). for example, when _m_ = , the wave-length of one of the brightest lines of the hydrogen spectrum is obtained ( · ), when _m_ = , one of the visible violet lines ( · ), and when _m_ is greater than , the ultra-violet lines of the hydrogen spectrum. [ ] in order to show the degree of sensitiveness of spectroscopic reactions the following observation of dr. bence jones may be cited: if a solution of grains of a lithium salt be injected under the skin of a guinea-pig, after the lapse of four minutes, lithium can be discovered in the bile and liquids of the eye, and, after ten minutes, in all parts of the animal. [illustration: fig. .--preparation of lithium by the action of a galvanic current on fused lithium chloride.] _lithium_, li, is, like potassium and sodium, somewhat widely spread in siliceous rocks, but only occurs in small quantities and as mere traces in considerable masses of potassium and sodium salts. only a very few rather rare minerals contain more than traces of it,[ ] for example, spodumene and lithia mica. many compounds of lithium are in all respects closely analogous to the corresponding compounds of sodium and potassium; but the _carbonate_ is sparingly soluble in cold water, which fact is taken advantage of for separating lithium from potassium and sodium. this salt, li_{ }co_{ }, is easily converted into the other compounds of lithium. thus, for instance, the lithium hydroxide, liho, is obtained in exactly the same way as caustic soda, by the action of lime on the carbonate, and it is soluble in water and crystallises (from its solution in alcohol) as liho,h_{ }o. metallic _lithium_ is obtained by the action of a galvanic current on fused lithium chloride; for this purpose a cast-iron crucible, furnished with a stout cover, is filled with lithium chloride, heated until the latter fuses, and a strong galvanic current is then passed through the molten mass. the positive pole (fig. ) consists of a dense carbon rod c (surrounded by a porcelain tube p fixed in an iron tube bb), and the negative pole of an iron wire, on which the metal is deposited after the current has passed through the molten mass for a certain length of time. chlorine is evolved at the positive pole. when a somewhat considerable quantity of the metal has accumulated on the wire it is withdrawn, the metal is collected from it, and the experiment is then carried on as before.[ bis] lithium is the lightest of all metals, its specific gravity is · , owing to which it floats even on naphtha; it melts at °, but does not volatilise at a red heat. its appearance recalls that of sodium, and, like it, it has a yellow tint. at ° it burns in air with a very bright flame, forming lithium oxide. in decomposing water it does not ignite the hydrogen. the characteristic test for lithium compounds is the _red coloration_ which they impart to a colourless flame.[ ] [ ] thus _spodumene_ contains up to p.c. of lithium oxide, and _petolite_, and _lepidolite_ or lithia mica, about p.c. of lithium oxide. this mica is met with in certain granites in a somewhat considerable quantity, and is therefore most frequently employed for the preparation of lithium compounds. the treatment of lepidolite is carried on on a large scale, because certain salts of lithium are employed in medicine as a remedy for certain diseases (stone, gouty affections), as they have the power of dissolving the insoluble uric acid which is then deposited. lepidolite, which is unacted on by acids in its natural state, decomposes under the action of strong hydrochloric acid after it has been fused. after being subjected to the action of the hydrochloric acid for several hours all the silica is obtained in an insoluble form, whilst the metallic oxides pass into solution as chlorides. this solution is mixed with nitric acid to convert the ferrous salts into ferric, and sodium carbonate is then added until the liquid becomes neutral, by which means a precipitate is formed of the oxides of iron, alumina, magnesia, &c., as insoluble oxides and carbonates. the solution (with an excess of water) then contains the chlorides of the alkaline metals kcl, nacl, licl, which do not give a precipitate with sodium carbonate in a dilute solution. it is then evaporated, and a strong solution of sodium carbonate added. this precipitates lithium carbonate, which, although soluble in water, is much less so than sodium carbonate, and therefore the latter precipitates lithium from strong solutions as carbonate, licl + na_{ }co_{ } = nacl + li_{ }co_{ }. _lithium carbonate_, which resembles sodium carbonate in many respects, is a substance which is very slightly soluble in cold water and is only moderately soluble in boiling water. in this respect lithium forms a transition between the metals of the alkalis and other metals, especially those of the alkaline earths (magnesium, barium), whose carbonates are only sparingly soluble. oxide of lithium, li_{ }o, may be obtained by heating lithium carbonate with charcoal. lithium oxide in dissolving gives (per gram-molecule) , heat units; but the combination of li_{ } with o evolves , calories--that is, more than na_{ }o ( , calories) and k_{ }o ( , calories), as shown by beketoff ( ). oeuvrard ( ) heated lithium to redness in nitrogen, and observed the absorption of n and formation of li_{ }n, like na_{ }n (_see_ chapter xii. note ). licl, libr, and lii form crystallo-hydrates with h_{ }o, h_{ }o, and h_{ }o. as a rule, libr, h_{ }o crystallises out, but bogorodsky ( ) showed that a solution containing libr + · h_{ }o, cooled to - °, separates out crystals libr, h_{ }o, which decompose at + ° with the separation of h_{ }o. lif is but slightly soluble (in parts) in water (and still less so in a solution of nh_{ }f). [ bis] guntz ( ) recommends adding kcl to the licl in preparing li by this method, and to act with a current of ampères at volts, and not to heat above °, so as to avoid the formation of li_{ }cl. [ ] in determining the presence of lithium in a given compound, it is best to treat the material under investigation with acid (in the case of mineral silicon compounds hydrofluoric acid must be taken), and to treat the residue with sulphuric acid, evaporate to dryness, and extract with alcohol, which dissolves a certain amount of the lithium sulphate. it is easy to discover lithium in such an alcoholic solution by means of the coloration imparted to the flame on burning it, and in case of doubt by investigating its light in a spectroscope, because lithium gives a red line, which is very characteristic and is found as a dark line in the solar spectrum. lithium was first discovered in in petolite by arfvedson. bunsen in tried to determine by means of the spectroscope whether any other as yet unknown metals might not occur in different natural products together with lithium, potassium, and sodium, and he soon discovered two new alkali metals showing independent spectra. they are named after the characteristic coloration which they impart to the flame. one which gives a red and violet band is named _rubidium_, from _rubidius_ (dark red), and the other is called _cæsium_, because it colours a pale flame sky blue, which depends on its containing bright blue rays, which appear in the spectrum of cæsium as two blue bands (table on p. ). both metals accompany sodium, potassium, and lithium, but in small quantities; rubidium occurs in larger quantity than cæsium. the amount of the oxides of cæsium and rubidium in lepidolite does not generally exceed one-half per cent. rubidium has also been found in the ashes of many plants, while the stassfurt carnallite (the mother-liquor obtained after having been treated for kcl) forms an abundant source for rubidium and also partly for cæsium. rubidium also occurs, although in very small quantities, in the majority of mineral waters. in a very few cases cæsium is not accompanied by rubidium; thus, in a certain granite on the isle of elba, cæsium has been discovered, but not rubidium. this granite contains a very rare mineral called _pollux_, which contains as much as per cent. of cæsium oxide. guided by the spectroscope, and aided by the fact that the double salts of platinic chloride and rubidium and cæsium chlorides are still less soluble in water than the corresponding potassium salt, k_{ }ptcl_{ },[ ] bunsen succeeded in separating both metals from each other and from potassium, and demonstrated the great resemblance they bear to each other. the isolated metals,[ ] rubidium and cæsium, have respectively the specific gravities · and · , and melting points ° and ° as n. n. beketoff showed ( ), he having obtained cæsium by heating csalo_{ } with mg([ bis]). [ ] the salts of the majority of metals are precipitated as carbonates on the addition of ammonium carbonate--for instance, the salts of calcium, iron, &c. the alkalis whose carbonates are soluble are not, however, precipitated in this case. on evaporating the resultant solution and igniting the residue (to remove the ammonium salts), we obtain salts of the alkali metals. they may he separated by adding hydrochloric acid together with a solution of platinic chloride. the chlorides of lithium and sodium give easily soluble double salts with platinic chloride, whilst the chlorides of potassium, rubidium, and cæsium form double salts which are sparingly soluble. a hundred parts of water at ° dissolve · part of the potassium platinochloride; the corresponding rubidium platinochloride is only dissolved to the amount of · part, and the cæsium salt, · part; at ° · parts of potassium platinochloride, k_{ }ptcl_{ }, are dissolved, · part of rubidium platinochloride, and · part of cæsium platinochloride. from this it is clear how the salts of rubidium and cæsium may be isolated. the separation of cæsium from rubidium by this method is very tedious. it can be better effected by taking advantage of the difference of the solubility of their carbonates in alcohol; cæsium carbonate, cs_{ }co_{ }, is soluble in alcohol, whilst the corresponding salts of rubidium and potassium are almost insoluble. setterberg separated these metals as alums, but the best method, that given by scharples, is founded on the fact that from a mixture of the chlorides of potassium, sodium, cæsium, and rubidium in the presence of hydrochloric acid, stannic chloride precipitates a double salt of cæsium, which is very slightly soluble. the salts of rb and cs are closely analogous to those of potassium. [ ] bunsen obtained rubidium by distilling a mixture of the tartrate with soot, and beketoff ( ) by heating the hydroxide with aluminium, rbho + al = rbalo_{ } + h_{ } + rb. by the action of grams of rubidium on water, , heat units are evolved. setterberg obtained cæsium ( ) by the electrolysis of a fused mixture of cyanide of cæsium and of barium. winkler ( ) showed that metallic magnesium reduces the hydrates and carbonates of rb and cs like the other alkaline metals. n. n. beketoff obtained them with aluminium (see following note). [ bis] beketoff ( ) showed that metallic aluminium reduces the hydrates of the alkaline metals at a red heat (they should be perfectly dry) with the formation of aluminates (chapter xvii.), ralo_{ }--for example, kho + al = kalo_{ } + k + h_{ }. it is evident that in this case only half of the alkaline metal is obtained free. on the other hand, k. winkler ( ) showed that magnesium powder is also able to reduce the alkaline metals from their hydrates and carbonates. n. n. beketoff and tscherbacheff ( ) prepared cæsium upon this principle by heating its aluminate csalo_{ } with magnesium powder. in this case aluminate of magnesium is formed, and the whole of the cæsium is obtained as metal: csalo_{ } + mg = mgoal_{ }o_{ } + cs. a certain excess of alumina was taken (in order to obtain a less hygroscopic mass of aluminate), and magnesium powder (in order to decompose the last traces of water); the csalo_{ } was prepared by the precipitation of cæsium alums by caustic baryta, and evaporating the resultant solution. we may add that n. n. beketoff ( ) prepared oxide of potassium, k_{ }o, by heating the peroxide, ko, in the vapour of potassium (disengaged from its alloy with silver), and showed that in dissolving in an excess of water it evolves (for the above-given molecular weight) , calories (while kho in dissolving in water evolves , cal.; so that k_{ }o + h_{ }o gives , cal.), whence (knowing that k_{ } + o+h_{ }o in an excess of water evolves , ) it follows that k_{ } + o evolves , cal. this quantity is somewhat less than that ( , cal.) which corresponds to sodium, and the energy of the action of potassium upon water is explained by the fact that k_{ }o evolves more heat than na_{ }o in combining with water (_see_ chapter ii. note ). just as hydrogen displaces half the na from na_{ }o forming naho, so also n. n. beketoff found from experiment and thermochemical reasonings that hydrogen displaces half the potassium from k_{ }o forming kho and evolving , calories. oxide of lithium, li_{ }o, which is easily formed by igniting li_{ }co_{ } with carbon (when li_{ }o + co is formed), disengages , cals. with an excess of water, while the reaction li_{ } + o gives , cals. and the reaction li_{ } + h_{ }o gives only , cals., and metallic lithium cannot be liberated from oxide of lithium with hydrogen (nor with carbon). thus in the series li, na, k, the formation of r_{ }o gives most heat with li and least with k, while the formation of rcl evolves most heat with k ( , cals.) and least of all with li ( , cals.). rubidium, in forming rb_{ }o, gives , cals. (beketoff). cæsium, in acting upon an excess of water, evolves , cals., and the reaction cs_{ } + o evolves about , cals.--_i.e._ more than k and rb, and almost as much as na--and oxide of cæsium reacts with hydrogen (according to the equation cs_{ }o + h = csho + cs) more easily than any of the oxides of the alkali metals, and this reaction takes place at the ordinary temperature (the hydrogen is absorbed), as beketoff showed ( ). he also obtained a mixed oxide, agcso, which was easily formed in the presence of silver, and absorbed hydrogen with the formation of csho. judging by the properties of the free metals, and of their corresponding and even very complex compounds, lithium, sodium, potassium, rubidium, and cæsium present an indubitable chemical resemblance. the fact that the metals easily decompose water, and that their hydroxides rho and carbonates r_{ }co_{ } are soluble in water, whilst the hydroxides and carbonates of nearly all other metals are insoluble, shows that these metals form a natural group of _alkali metals_. the halogens and the alkali metals form, by their character, the two extremes of the elements. many of the other elements are metals approaching the alkali metals, both in their capacity of forming salts and in not forming acid compounds, but are not so energetic as the alkali metals, that is, they form less energetic bases. such are the common metals, silver, iron, copper, &c. some other elements, in the character of their compounds, approach the halogens, and, like them, combine with hydrogen, but these compounds do not show the energetic property of the halogen acids; in a free state they easily combine with metals, but they do not then form such saline compounds as the halogens do--in a word, the halogen properties are less sharply defined in them than in the halogens themselves. sulphur, phosphorus, arsenic, &c. belong to this order of elements. the clearest distinction of the properties of the halogens and alkali metals is expressed in the fact that the former give acids and do not form bases, whilst the latter, on the contrary, only give bases. the first are true _acid elements_, the latter clearly-defined _basic or metallic elements_. on combining together, the halogens form, in a chemical sense, unstable compounds, and the alkali metals alloys in which the character of the metals remains unaltered, just as in the compound icl the character of the halogens remains undisguised; thus both classes of elements on combining with members of their own class form non-characteristic compounds, which have the properties of their components. on the other hand, the halogens on combining with the alkali metals form compounds which are, in all respects, stable, and in which the original characters of the halogens and alkali metals have entirely disappeared. the formation of such compounds is accompanied by evolution of a large amount of heat, and by an entire change of both the physical and chemical properties of the substances originally taken. the alloy of sodium and potassium, although liquid at the ordinary temperature, is perfectly metallic, like both its components. the compound of sodium and chlorine has neither the appearance nor the properties of the original elements; sodium chloride melts at a higher temperature, and is more difficultly volatile, than either sodium or chlorine. with all these qualitative differences there is, however, an important quantitative _resemblance between the halogens and the alkali metals_. this resemblance is clearly expressed by stating that both orders of elements belong to those which are univalent with respect to hydrogen. it is thus correct to say that both the above-named orders of elements replace hydrogen atom for atom. chlorine is able to take the place of hydrogen by metalepsis, and the alkali metals take the place of hydrogen in water and acids. as it is possible to consecutively replace every equivalent of hydrogen in a hydrocarbon by chlorine, so it is possible in an acid containing several equivalents of hydrogen to replace the hydrogen consecutively equivalent after equivalent by an alkali metal; hence an atom of these elements is analogous to an atom of hydrogen, which is taken, in all cases, as the unit for the comparison of the other elements. in ammonia, and in water, chlorine and sodium are able to bring about a direct replacement. according to the law of substitution, the formation of sodium chloride, nacl, at once shows the equivalence of the atoms of the alkali metals and the halogens. the halogens and hydrogen and the alkali metals combine with such elements as oxygen, and it is easily proved that in such compounds one atom of oxygen is able to retain two atoms of the halogens, of hydrogen, and of the alkali metals. for this purpose it is enough to compare the compounds kho, k_{ }o, hclo, and cl_{ }o, with water. it must not be forgotten, however, that the halogens give, with oxygen, besides compounds of the type r_{ }o, higher acid grades of oxidation, which the alkali metals and hydrogen are not capable of forming. we shall soon see that these relations are also subject to a special law, showing a gradual transition of the properties of the elements from the alkali metals to the halogens.[ ] [ ] we may here observe that the halogens, and especially iodine, may play the part of metals (hence iodine is more easily replaced by metals than the other halogens, and it approaches nearer to the metals in its physical properties than the other halogens). schützenberger obtained a compound c_{ }h_{ }o(ocl), which he called chlorine acetate, by acting on acetic anhydride, (c_{ }h_{ }o)_{ }o, with chlorine monoxide, cl_{ }o. with iodine this compound gives off chlorine and forms iodine acetate, c_{ }h_{ }o(oi), which also is formed by the action of iodine chloride on sodium acetate, c_{ }h_{ }o(ona). these compounds are evidently nothing else than mixed anhydrides of hypochlorous and hypoiodous acids, or the products of the substitution of hydrogen in rho by a halogen (_see_ chapter xi., notes and bis). such compounds are very unstable, decompose with an explosion when heated, and are changed by the action of water and of many other reagents, which is in accordance with the fact that they contain very closely allied elements, as does cl_{ }o itself, or icl or kna. by the action of chlorine monoxide on a mixture of iodine and acetic anhydride, schützenberger also obtained the compound i(c_{ }h_{ }o_{ })_{ }, which is analogous to icl_{ }, because the group c_{ }h_{ }o_{ } is, like cl, a halogen, forming salts with the metals. similar properties are found in iodosobenzene (chapter xi., note ). the atomic weights of the alkali metals, lithium , sodium , potassium , rubidium , and cæsium , show that here, as in the class of halogens, the elements may be arranged according to their atomic weights in order to compare the properties of the analogous compounds of the members of this group. thus, for example, the platinochlorides of lithium and sodium are soluble in water; those of potassium, rubidium, and cæsium sparingly soluble, and the greater the atomic weight of the metal the less soluble is the salt. in other cases the reverse is observed--the greater the atomic weight the more soluble are the corresponding salts. the variation of properties with the variation in atomic weights even shows itself in the metals themselves; thus lithium volatilises with difficulty, whilst sodium is obtained by distillation, potassium volatilises more easily than sodium, and rubidium and cæsium as we have seen, are still more volatile. chapter xiv the valency and specific heat of the metals. magnesium. calcium, strontium, barium, and beryllium it is easy by investigating the composition of corresponding compounds, to establish the _equivalent weights_ of the metals compared with hydrogen--that is, the quantity which replaces one part by weight of hydrogen. if a metal decomposes acids directly, with the evolution of hydrogen, the equivalent weight of the metal may be determined by taking a definite weight of it and measuring the volume of hydrogen evolved by its action on an excess of acid; it is then easy to calculate the weight of the hydrogen from its volume.[ ] the same result may be arrived at by determining the composition of the normal salts of the metal; for instance, by finding the weight of metal which combines with · parts of chlorine or parts of bromine.[ ] the equivalent of a metal may be also ascertained by simultaneously (_i.e._ in one circuit) decomposing an acid and a fused salt of a given metal by an electric current and determining the relation between the amounts of hydrogen and metal separated, because, according to faraday's law, electrolytes (conductors of the second order) are always decomposed in equivalent quantities.[ bis] the equivalent of a metal may even be found by simply determining the relation between its weight and that of its salt-giving oxide, as by this we know the quantity of the metal which combines with parts by weight of oxygen, and this will be the equivalent, because parts of oxygen combine with part by weight of hydrogen. one method is verified by another, and all the processes for the accurate determination of equivalents require the greatest care to avoid the absorption of moisture, further oxidation, volatility, and other accidental influences which affect exact weighings. the description of the methods necessary for the attainment of exact results belongs to the province of analytical chemistry. [ ] under favourable circumstances (by taking all the requisite precautions), the weight of the equivalent may be accurately determined by this method. thus reynolds and ramsay ( ) determined the equivalent of zinc to be · by this method (from the average of experiments), whilst by other methods it has been fixed (by different observers) between · and · . the differences in their equivalents may be demonstrated by taking equal weights of different metals, and collecting the hydrogen evolved by them (under the action of an acid or alkali). [ ] the most accurate determinations of this kind were carried on by stas, and will be described in chapter xxiv. [ bis] the amount of electricity in one coulomb according to the present nomenclature of electrical units (_see_ works on physics and electro-technology) disengages · gram of hydrogen, · gram of silver, · gram of copper from the salts of the oxide, and · gram from the salts of the suboxide, &c. these amounts stand in the same ratio as the equivalents, _i.e._ as the quantities replaced by one part by weight of hydrogen. the intimate bond which is becoming more and more marked existing between the electrolytic and purely chemical relations of substances (especially in solutions) and the application of electrolysis to the preparation of numerous substances on a large scale, together with the employment of electricity for obtaining high temperatures, &c., makes me regret that the plan and dimensions of this book, and the impossibility of giving a concise and objective exposition of the necessary electrical facts, prevent my entering upon this province of knowledge, although i consider it my duty to recommend its study to all those who desire to take part in the further development of our science. there is only one side of the subject respecting the direct correlation between thermochemical data and electro-motive force, which i think right to mention here, as it justifies the general conception, enunciated by faraday, that the galvanic current is an aspect of the transference of chemical motion or reaction along the conductors. from experiments conducted by favre, thomsen, garni, berthelot, cheltzoff, and others, upon the amount of heat evolved in a closed circuit, it follows that the electro-motive force of the current or its capacity to do a certain work, e, is proportional to the whole amount of heat, q, disengaged by the reaction forming the source of the current. if e be expressed in volts, and q in thousands of units of heat referred to equivalent weights, then e = · q. for example in a daniells battery e = · both by experiment and theory, because in it there takes place the decomposition of cuso_{ } into cu + o together with the formation of zn + o and zno + so_{ }aq, and these reactions correspond to q = · thousand units of heat. so also in all other primary batteries (_e.g._ bunsen's, poggendorff's, &c.) and secondary ones (for instance, those acting according to the reaction pb + h_{ }so_{ } + pbo_{ }, as cheltzoff showed) e = · q. for univalent metals, like those of the alkalis, the weight of the equivalent is equal to the weight of the atom. for bivalent metals the atomic weight is equal to the weight of two equivalents, for _n_-valent metals it is equal to the weight of _n_ equivalents. thus aluminium, al = , is trivalent, that is, its equivalent = ; magnesium, mg = , is bivalent, and its equivalent = . therefore, if potassium or sodium, or in general a univalent metal, m, give compounds m_{ }o, mho, mcl, mno_{ }, m_{ }so_{ }, &c., and in general mx, then for bivalent metals like magnesium or calcium the corresponding compounds will be mgo, mg(ho)_{ }, mgcl_{ }, mg(no_{ })_{ }, mgso_{ }, &c., or in general mx_{ }. by what are we to be guided in ascribing to some metals univalency and to others bi-, ter-, quadri-, ... _n_-valency? what obliges us to make this difference? why are not all metals given the same valency--for instance, why is not magnesium considered as univalent? if this be done, taking mg = (and not as now), not only is a simplicity of expression of the composition of all the compounds of magnesium attained, but we also gain the advantage that their composition will be the same as those of the corresponding compounds of sodium and potassium. these combinations were so expressed formerly--why has this since been changed? these questions could only be answered after the establishment of the idea of multiples of the atomic weights as the minimum quantities of certain elements combining with others to form compounds--in a word, since the time of the establishment of avogadro-gerhardt's law (chapter vii.). by taking such an element as arsenic, which has many volatile compounds, it is easy to determine the density of these compounds, and therefore to establish their molecular weights, and hence to find the indubitable atomic weight, exactly as for oxygen, nitrogen, chlorine, carbon, &c. it appears that as = , and its compounds correspond, like the compounds of nitrogen, with the forms asx_{ }, and asx_{ }; for example, ash_{ }, ascl_{ }, asf_{ }, as_{ }o_{ }, &c. it is evident that we are here dealing with a metal (or rather element) of two valencies, which moreover is never univalent, but tri- or quinqui-valent. this example alone is sufficient for the recognition of the existence of polyvalent atoms among the metals. and as antimony and bismuth are closely analogous to arsenic in all their compounds, (just as potassium is analogous to rubidium and cæsium); so, although very few volatile compounds of bismuth are known, it was necessary to ascribe to them formulæ corresponding with those ascribed to arsenic. as we shall see in describing them, there are also many analogous metals among the bivalent elements, some of which also give volatile compounds. for example, zinc, which is itself volatile, gives several volatile compounds (for instance, zinc ethyl, znc_{ }h_{ }, which boils at °, vapour density = · ), and in the molecules of all these compounds there is never less than parts of zinc, which is equivalent to h_{ }, because parts of zinc displace parts by weight of hydrogen; so that zinc is just such an example of the bivalent metals as oxygen, whose equivalent = (because h_{ } is replaced by o = ), is a representative of the bivalent elements, or as arsenic is of the tri- and quinqui-valent elements. and, as we shall afterwards see, magnesium is in many respects closely analogous to zinc, which fact obliges us to regard magnesium as a bivalent metal. such metals as mercury and copper, which are able to give not one but two bases, are of particular importance for distinguishing univalent and bivalent metals. thus copper gives the suboxide cu_{ }o and the oxide cuo--that is, the compounds cux corresponding with the suboxide are analogous (in the quantitative relations, by their composition) to nax or agx, and the compounds of the oxide cux_{ }, to mgx_{ }, znx_{ }, and in general to the bivalent metals. it is clear that in such examples we must make a distinction between atomic weights and equivalents. in this manner the valency, that is, the number of equivalents entering into the atom of the metals may in many cases be established by means of comparatively few volatile metallic compounds, with the aid of a search into their analogies (concerning which see chapter xv.). _the law of specific heats_ discovered by dulong and petit has frequently been applied to the same purpose[ ] in the history of chemistry, especially since the development given to this law by the researches of regnault, and since cannizzaro ( ) showed the agreement between the deductions of this law and the consequences arising from avogadro-gerhardt's law. [ ] the chief means by which we determine the valency of the elements, or what multiple of the equivalent should be ascribed to the atom, are: ( ) the law of avogadro-gerhardt. this method is the most general and trustworthy, and has already been applied to a great number of elements. ( ) the different grades of oxidation and their isomorphism or analogy in general; for example, fe = because the suboxide (ferrous oxide) is isomorphous with magnesium oxide, &c., and the oxide (ferric oxide) contains half as much oxygen again as the suboxide. berzelius, marignac, and others took advantage of this method for determining the composition of the compounds of many elements. ( ) the specific heat, according to dulong and petit's law. regnault, and more especially cannizzaro, used this method to distinguish univalent from bivalent metals. ( ) the periodic law (_see_ chapter xv.) has served as a means for the determination of the atomic weights of cerium, uranium, yttrium, &c., and more especially of gallium, scandium, and germanium. the correction of the results of one method by those of others is generally had recourse to, and is quite necessary, because, phenomena of dissociation, polymerisation, &c., may complicate the individual determinations by each method. it will be well to observe that a number of other methods, especially from the province of those physical properties which are clearly dependent on the magnitude of the atom (or equivalent) or of the molecule, may lead to the same result. i may point out, for instance, that even the specific gravity of solutions of the metallic chlorides may serve for this purpose. thus, if beryllium he taken as trivalent--that is, if the composition of its chloride be taken as becl_{ } (or a polymeride of it), then the specific gravity of solutions of beryllium chloride will not fit into the series of the other metallic chlorides. but by ascribing to it an atomic weight be = , or taking be as bivalent, and the composition of its chloride as becl_{ }, we arrive at the general rule given in chapter vii., note . thus w. g. burdakoff determined in my laboratory that the specific gravity at °/ ° of the solution becl_{ } + h_{ }o = · --that is, greater than the corresponding solution kcl + h_{ }o (= · ), and less than the solution mgcl_{ } + h_{ }o (= · ), as would follow from the magnitude of the molecular weight becl_{ } = , since kcl = · and mgcl_{ } = . dulong and petit, having determined the specific heat of a number of solid elementary substances, observed that as the atomic weights of the elements increase, their specific heats decrease, and that _the product of the specific heat q into the atomic weight a is an almost constant quantity_. this means that to bring different elements into a known thermal state an equal amount of work is required if atomic quantities of the elements are taken; that is, the amounts of heat expended in heating equal quantities by weight of the elements are far from equal, but are in inverse proportion to the atomic weights. for thermal changes the atom is a unit; all atoms, notwithstanding the difference of weight and nature, are equal. this is the simplest expression of the fact discovered by dulong and petit. the specific heat measures that quantity of heat which is required to raise the temperature of _one unit of weight_ of a substance by one degree. if the magnitude of the specific heat of elements be multiplied by the atomic weight, then we obtain the atomic heat--that is, the amount of heat required to raise the temperature of the atomic weight of an element by one degree. it is these products which for the majority of the elements prove to be approximately, if not quite, identical. a complete identity cannot be expected, because the specific heat of one and the same substance varies with the temperature, with its passage from one state into another, and frequently with even a simple mechanical change of density (for instance by hammering), not to speak of allotropic changes, &c. we will cite several figures[ ] proving the truth of the conclusions arrived at by dulong and petit with respect to solid elementary bodies. li na mg p a = q = · · · · aq = · · · · fe cu zn br a = q = · · · · aq = · · · · pd ag sn i a = q = · · · · aq = · · · · pt au hg pb a = q = · · · · aq = · · · · [ ] the specific heats here given refer to different limits of temperature, but in the majority of cases between ° and °; only in the case of bromine the specific heat is taken (for the solid state) at a temperature below - °, according to regnault's determination. _the variation of the specific heat with a change of temperature_ is a very complex phenomenon, the consideration of which i think would here be out of place. i will only cite a few figures as an example. according to bystrom, the specific heat of iron at ° = · , at ° = · , at ° = · , at ° = · , and at , ° = · . between these last limits of temperature a change takes place in iron (a spontaneous heating, _recalescence_), as we shall see in chapter xxii. for quartz sio_{ } pionchon gives q = · + _t_ ^{- }- _t_^{ } ^{- } up to °, for metallic aluminium (richards, ) at ° · , at ° · , at ° · ; consequently, as a rule, the specific heat varies slightly with the temperature. still more remarkable are h. e. weber's observations on the great variation of the specific heat of charcoal, the diamond and boron: ° ° ° ° ° wood charcoal · · · · · diamond · · · · · boron · · · -- -- these determinations, which have been verified by dewar, le chatelier (chapter viii., note ), moissan, and gauthier, the latter finding for boron aq = at °, are of especial importance as confirming the universality of dulong and petit's law, because the elements mentioned above form exceptions to the general rule when the mean specific heat is taken for temperatures between ° and °. thus in the case of the diamond the product of a × q at ° = · , and for boron = · . but if we take the specific heat towards which there is evidently a tendency with a rise of temperature, we obtain a product approaching to as with other elements. thus with the diamond and charcoal, it is evident that the specific heat tends towards · , which multiplied by gives · , the same as for magnesium and aluminium. i may here direct the reader's attention to the fact that for solid elements having a small atomic weight, the specific heat varies considerably if we take the average figures for temperatures ° to °: li = be = b = c = q = · · · · aq = · · · · it is therefore clear that the specific heat of beryllium determined at a low temperature cannot serve for establishing its atomicity. on the other hand, the low atomic heat of charcoal, graphite, and the diamond, boron, &c., may perhaps depend on the complexity of the molecules of these elements. the necessity for acknowledging a great complexity of the molecules of carbon was explained in chapter viii. in the case of sulphur the molecule contains at least s_{ } and its atomic heat = × · = · , which is distinctly below the normal. if a large number of atoms of carbon are contained in the molecule of charcoal, this would to a certain extent account for its comparatively small atomic heat. with respect to the specific heat of compounds, it will not be out of place to mention here the conclusion arrived at by kopp, that the molecular heat (that is, the product of mq) may be looked on as the sum of the atomic heats of its component elements; but as this rule is not a general one, and can only be applied to give an approximate estimate of the specific heats of substances, i do not think it necessary to go into the details of the conclusions described in liebig's 'annalen supplement-band,' , which includes a number of determinations made by kopp. it is seen from this that the product of the specific heat of the element into the atomic weight is an almost constant quantity, which is nearly . hence it is possible to determine the valency by the specific heats of the metals. thus, for instance, the specific heats of lithium, sodium, and potassium convince us of the fact that their atomic weights are indeed those which we chose, because by multiplying the specific heats found by experiment by the corresponding atomic weights we obtain the following figures: li, · , na, · and k, · . of the alkaline earth metals the specific heats have been determined: of magnesium = · (regnault and kopp), of calcium = · (bunsen), and of barium = · (mendeléeff). if the same composition be ascribed to the compounds of magnesium as to the corresponding compounds of potassium, then the equivalent of magnesium will be equal to . on multiplying this atomic weight by the specific heat of magnesium, we obtain a figure · , which is half that which is given by the other solid elements and therefore the atomic weight of magnesium must be taken as equal to and not to . then the atomic heat of magnesium = × · = · ; for calcium, giving its compounds a composition cax_{ }--for example cacl_{ }, caso_{ }, cao (ca = )--we obtain an atomic heat = × · = · , and for barium it is equal to × · = · ; that is, they must be counted as bivalent, or that their atom replaces h_{ }, na_{ }, or k_{ }. this conclusion may be confirmed by a method of analogy, as we shall afterwards see. the application of the principle of specific heats to the determination of the magnitudes of the atomic weights of those metals, the magnitude of whose atomic weights could not be determined by avogadro-gerhardt's law, was made about by the italian professor cannizzaro. exactly the same conclusions respecting the bivalence of magnesium and its analogues are obtained by comparing the specific heats of their compounds, especially of the halogen compounds as the most simple, with the specific heats of the corresponding alkali compounds. thus, for instance, the specific heats of magnesium and calcium chlorides, mgcl_{ } and cacl_{ }, are · and · , and of sodium and potassium chlorides, nacl and kcl, · and · , and therefore their molecular heats (or the products qm, where m is the weight of the molecule) are · and · , · and · , and hence the atomic heats (or the quotient of qm by the number of atoms) are all nearly , as with the elements. whilst if, instead of the actual atomic weights mg = and ca = , their equivalents and be taken, then the atomic heats of the chlorides of magnesium and calcium would be about · , whilst those of potassium and sodium chlorides are about · .[ ] we must remark, however, that as the specific heat or the amount of heat required to raise the temperature of a unit of weight one degree[ ] is a complex quantity--including not only the increase of the energy of a substance with its rise in temperature, but also the external work of expansion[ ] and the internal work accomplished in the molecules causing them to decompose according to the rise of temperature[ ]--therefore it is impossible to expect in the magnitude of the specific heat the great simplicity of relation to composition which we see, for instance, in the density of gaseous substances. hence, although the specific heat is one of the important means for determining the atomicity of the elements, still the mainstay for a true judgment of atomicity is only given by avogadro-gerhardt's law, _i.e._ this other method can only be accessory or preliminary, and when possible recourse should be had to the determination of the vapour density. [ ] it must be remarked that in the case of oxygen (and also hydrogen and carbon) compounds the quotient of mq/_n_, where _n_ is the number of atoms in the molecule, is always less than for solids; for example, for mgo = · , cuo = · , mno_{ } = · , ice (q = · ) = , sio_{ } = · , &c. at present it is impossible to say whether this depends on the smaller specific heat of the atom of oxygen in its solid compounds (kopp, note ) or on some other cause; but, nevertheless, taking into account this decrease depending on the presence of oxygen, a reflection of the atomicity of the elements may to a certain extent be seen in the specific heat of the oxides. thus for alumina, al_{ }o_{ } (q = · ), mq = · , and therefore the quotient mq/_n_ = · , which is nearly that given by magnesium oxide, mgo. but if we ascribe the same composition to alumina, as to magnesia--that is, if aluminium were counted as divalent--we should obtain the figure · , which is much less. in general, in compounds of identical atomic composition and of analogous chemical properties the molecular heats mq are nearly equal, as many investigators have long remarked. for example, zns = · and hgs = · ; mgso_{ } = · and znso_{ } = · , &c. [ ] if w be the amount of heat contained in a mass _m_ of a substance at a temperature _t_, and _d_w the amount expended in heating it from _t_ to _t_ + _dt_, then the specific heat q = _d_w(_m_ × _dt_). the specific heat not only varies with the composition and complexity of the molecules of a substance, but also with the temperature, pressure, and physical state of a substance. even for gases the variation of q with _t_ is to be observed. thus it is seen from the experiments of regnault and wiedemann that the specific heat of carbonic anhydride at ° = · , at ° = · , and at ° = · . but the variation of the specific heat of permanent gases with the temperature is, as far as we know, very inconsiderable. according to mallard and le chatelier it is = · /m per °, where m is the molecular weight (for instance, for o_{ }, m = ). therefore the specific heat of those permanent gases which contain two atoms in the molecule (h_{ }, o_{ }, n_{ }, co, and no) may be, as is shown by experiment, taken as not varying with the temperature. the constancy of the specific heat of perfect gases forms one of the fundamental propositions of the whole theory of heat and on it depends the determination of temperatures by means of gas-thermometers containing hydrogen, nitrogen, or air. le chatelier ( ), on the basis of existing determinations, concludes that the molecular heat--that is, the product mq--of all gases varies in proportion to the temperature, and tends to become equal (= · ) at the temperature of absolute zero (that is, at - °); and therefore mq = · + _a_( + _t_), where _a_ is a constant quantity which increases with the complexity of the gaseous molecule and q is the specific heat of the gas under a constant pressure. for permanent gases _a_ almost = , and therefore mq = · --that is, the atomic heat (if the molecule contains two atoms) = · , as it is in fact (chapter ix., note bis). as regards liquids (as well as the vapours formed by them), the specific heat always rises with the temperature. thus for benzene it equals · + · _t_. r. schiff ( ) showed that the variation of the specific heat of many organic liquids is proportional to the change of temperature (as in the case of gases, according to le chatelier), and reduced these variations into dependence with their composition and absolute boiling point. it is very probable that the theory of liquids will make use of these simple relations which recall the simplicity of the variation of the specific gravity (chapter ii., note ), cohesion, and other properties of liquids with the temperature. they are all expressed by the linear function of the temperature, _a_ + _bt_, with the same degree of proximity as the property of gases is expressed by the equation _pv_ = _rt_. as regards the relation between the specific heats of liquids (or of solids) and of their vapours, the specific heat of the vapour (and also of the solid) is always less than that of the liquid. for example, benzene vapour · , liquid · ; chloroform vapour · , liquid · ; steam · , liquid water · . but the complexity of the relations existing in specific heat is seen from the fact that the specific heat of ice = · is less than that of liquid water. according to regnault, in the case of bromine the specific heat of the vapour = · at ( °), of the liquid = · (at °), and of solid bromine = · (at - °). the specific heat of solid benzoic acid (according to experiment and calculation, hess, ) between ° and ° is · , and of liquid benzoic acid · . one of the problems of the present day is the explanation of those complex relations which exist between the composition and such properties as specific heat, latent heat, expansion by heat, compression, internal friction, cohesion, and so forth. they can only be connected by a complete theory of liquids, which may now soon be expected, more especially as many sides of the subject have already been partially explained. [ ] according to the above reasons the quantity of heat, q, required to raise the temperature of one part by weight of a substance by one degree may be expressed by the sum q = k + b + d, where k is the heat actually expended in heating the substance, or what is termed the absolute specific heat, b the amount of heat expended in the internal work accomplished with the rise of temperature, and d the amount of heat expended in external work. in the case of gases the last quantity may be easily determined, knowing their coefficient of expansion, which is approximately = · . by applying to this case the same argument given at the end of note , chapter i., we find that one cubic metre of a gas heated ° produces an external work of × · , or · kilogrammetres, on which · / or · heat units are expended. this is the heat expended for the external work produced by one cubic metre of a gas, but the specific heat refers to units of weight, and therefore it is necessary in order to know d to reduce the above quantity to a unit of weight. one cubic metre of hydrogen at ° and mm. pressure weighs · kilo, a gas of molecular weight m has a density m/ , consequently a cubic metre weighs (at ° and mm.) · m kilo, and therefore kilogram of the gas occupies a volume / · m cubic metres, and hence the external work d in the heating of kilo of the given gas through ° = · / · m, or d = /m. taking the magnitude of the internal work b for gases as negligible if permanent gases are taken, and therefore supposing b = , we find the specific heat of gases at a constant pressure q = k + m, where k is the specific heat at a constant volume, or the true specific heat, and m the molecular weight. hence k = q- /m. the magnitude of the specific heat q is given by direct experiment. according to regnault's experiments, for oxygen it = · , for hydrogen · , for nitrogen · ; the molecular weights of these gases are , , and , and therefore for oxygen k = · - · = · , for hydrogen k = · - · = · , and for nitrogen k = · - · = · . these true specific heats of elements are in inverse proportion to their atomic weights--that is, their product by the atomic weight is a constant quantity. in fact, for oxygen this product = · × = · , for hydrogen · , for nitrogen · × = · , and therefore if a stand for the atomic weight we obtain the expression k × a = a constant, which may be taken as · . this is the true expression of dulong and petit's law, because k is the true specific heat and a the weight of the atom. it should be remarked, moreover, that the product of the observed specific heat q into a is also a constant quantity (for oxygen = · , for hydrogen = · ), because the external work d is also inversely proportional to the atomic weight. in the case of gases we distinguish the specific heat at a constant pressure _c´_ (we designated this quantity above by q), and at a constant volume _c_. it is evident that _the relation between the two specific heats, k_, judging from the above, is the ratio of q to k, or equal to the ratio of · _n_ + to · _n_. when _n_ = this ratio _k_ = · ; when _n_ = , _k_ = · , when _n_ = , _k_ = · , and with an exceedingly large number _n_, of atoms in the molecule, _k_ = . that is, the ratio between the specific heats decreases from · to · as the number of atoms, _n_, contained in the molecule increases. this deduction is verified to a certain extent by direct experiment. for such gases as hydrogen, oxygen, nitrogen, carbonic oxide, air, and others in which _n_ = , the magnitude of _k_ is determined by methods described in works on physics (for example, by the change of temperature with an alteration of pressure, by the velocity of sound, &c.) and is found in reality to be nearly · , and for such gases as carbonic anhydride, nitric dioxide, and others it is nearly · . kundt and warburg ( ), by means of the approximate method mentioned in note , chapter vii., determined _k_ for mercury vapour when _n_ = , and found it to be = · --that is, a larger quantity than for air, as would be expected from the above. it may be admitted that the true atomic heat of gases = · , only under the condition that they are distant from a liquid state, and do not undergo a chemical change when heated--that is, when no internal work is produced in them (b = ). therefore this work may to a certain extent be judged by the observed specific heat. thus, for instance, for chlorine (q = · , regnault; _k_ = · , according to straker and martin, and therefore k = · , mk = · ), the atomic heat ( · ) is much greater than for other gases containing two atoms in a molecule, and it must be assumed, therefore, that when it is heated some great internal work is accomplished. in order to generalise the facts concerning the specific heat of gases and solids, it appears to me possible to accept the following general proposition: _the atomic heat_ (that is, aq or qm/_n_, where m is the molecular weight and _n_ the number of molecules) is _smaller_ (in solids it attains its highest value · and in gases · ), _the more complex the molecule_ (i.e. _the greater the number (n) of atoms forming it_) _and so much smaller, up to a certain point_ (in similar physical states) _the smaller the mean atomic weight m/n_. [ ] as an example, it will be sufficient to refer to the specific heat of nitrogen tetroxide, n_{ }o_{ }, which, when heated, gradually passes into no_{ }--that is, chemical work of decomposition proceeds, which consumes heat. speaking generally, specific heat is a complex quantity, in which it is clear that thermal data (for instance, the heat of reaction) alone cannot give an idea either of chemical or of physical changes individually, but always depend on an association of the one and the other. if a substance be heated from _t__{ } to _t__{ } it cannot but suffer a chemical change (that is, the state of the atoms in the molecules changes more or less in one way or another) if dissociation sets in at a temperature _t__{ }. even in the case of the elements whose molecules contain only one atom, a true chemical change is possible with a rise of temperature, because more heat is evolved in chemical reactions than that quantity which participates in purely physical changes. one gram of hydrogen (specific heat = · at a constant pressure) cooled to the temperature of absolute zero will evolve altogether about one thousand units of heat, grams of oxygen half this amount, whilst in combining together they evolve in the formation of grams of water more than thirty times as much heat. hence the store of chemical energy (that is, of the motion of the atoms, vortex, or other) is much greater than the physical store proper to the molecules, but it is the change accomplished by the former that is the cause of chemical transformations. here we evidently touch on those limits of existing knowledge beyond which the teaching of science does not yet allow us to pass. many new scientific discoveries have still to be made before this is possible. among the bivalent metals the first place, with respect to their distribution in nature, is occupied by _magnesium_ and _calcium_, just as sodium and potassium stand first amongst the univalent metals. the relation which exists between the atomic weights of these four metals confirms the above comparison. in fact, the combining weight of magnesium is equal to , and of calcium ; whilst the combining weights of sodium and potassium are and --that is, the latter are one unit less than the former.[ ] they all belong to the number of _light metals_, as they have but a small specific gravity, in which respect they differ from the ordinary, generally known heavy, or ore, metals (for instance, iron, copper, silver, and lead), which are distinguished by a much greater specific gravity. there is no doubt that their low specific gravity has a significance, not only as a simple point of distinction, but also as a property which determines the fundamental properties of these metals. indeed, all the light metals have a series of points of resemblance with the metals of the alkalis; thus both magnesium and calcium, like the metals of the alkalis, decompose water (without the addition of acids), although not so easily as the latter metals. the process of the decomposition is essentially one and the same; for example, ca + h_{ }o = cah_{ }o_{ } + h_{ }--that is, hydrogen is liberated and a hydroxide of the metal formed. these hydroxides are bases which neutralise nearly all acids. however, the hydroxides rh_{ }o_{ } of calcium and magnesium are in no respect so energetic as the hydroxides of the true metals of the alkalis; thus when heated they lose water, are not so soluble, develop less heat with acids, and form various salts, which are less stable and more easily decomposed by heat than the corresponding salts of sodium and potassium. thus calcium and magnesium carbonates easily part with carbonic anhydride when ignited; the nitrates are also very easily decomposed by heat, calcium and magnesium oxides, cao and mgo, being left behind. the chlorides of magnesium and calcium, when heated with water, evolve hydrogen chloride, forming the corresponding hydroxides, and when ignited the oxides themselves. all these points are evidence of a weakening of the alkaline properties. [ ] as if nah = mg and kh = ca, which is in accordance with their valency. kh includes two monovalent elements, and is a bivalent group like ca. these metals have been termed _the metals of the alkaline earths_, because they, like the alkali metals, form energetic bases. they are called alkaline _earths_ because they are met with in nature in a state of combination, forming the insoluble mass of the earth, and because as oxides, ro, they themselves have an earthy appearance. not a few salts of these metals are known which are insoluble in water, whilst the corresponding salts of the alkali metals are generally soluble--for example, the carbonates, phosphates, borates, and other salts of the alkaline earth metals are nearly insoluble. this enables us to separate the metals of the alkaline earths from the metals of the alkalis. for this purpose a solution of ammonium carbonate is added to a mixed solution of salts of both kinds of metals, when by a double decomposition the insoluble carbonates of the metals of the alkaline earths are formed and fall as a precipitate, whilst the metals of the alkalis remain in solution: rx_{ } + na_{ }co_{ } = rco_{ } + nax. we may here remark that the oxides of the metals of the alkaline earths are frequently called by special names: mgo is called magnesia or bitter earth; cao, lime; sro, strontia; and bao, baryta. in the primary rocks the oxides of calcium and magnesium are combined with silica, sometimes in variable quantities, so that in some cases the lime predominates and in other cases the magnesium. the two oxides, being analogous to each other, replace each other in equivalent quantities. the various forms of _augite_, _hornblende_, or _amphibole_, and of similar minerals, which enter into the composition of nearly all rocks, contain lime and magnesia and silica. the majority of the primary rocks also contain alumina, potash, and soda. these rocks, under the action of water (containing carbonic acid) and air, give up lime and magnesia to the water, and therefore they are contained in all kinds of water, and especially in sea-water. the _carbonates_ caco_{ } and mgco_{ }, frequently met with in nature, _are soluble in an excess of water saturated with carbonic anhydride_,[ ] and therefore many natural waters contain these salts, and are able to yield them when evaporated. however, one kilogram of water saturated with carbonic anhydride does not dissolve more than three grams of calcium carbonate. by gradually expelling the carbonic anhydride from such water, an insoluble precipitate of calcium carbonate separates out. it may confidently be stated that the formation of the very widely distributed strata of calcium and magnesium carbonates was of this nature, because these strata are of a sedimentary character--that is, such as would be exhibited by a gradually accumulating deposit on the bottom of the sea, and, moreover, frequently containing the remains of marine plants, and animals, shells, &c. it is very probable that the presence of these organisms in the sea has played the chief part in the precipitation of the carbonates from the sea water, because the plants absorb co_{ }, and many of the organisms caco_{ }, and after death give deposits of carbonate of lime; for instance, chalk, which is almost entirely composed of the minute remains of the calcareous shields of such organisms. these deposits of calcium and magnesium carbonates are the most important sources of these metals. lime generally predominates, because it is present in rocks and running water in greater quantity than magnesia, and in this case these sedimentary rocks are termed _limestone_. some common flagstones used for paving, &c., and chalk may be taken as examples of this kind of formation. those limestones in which a considerable portion of the calcium is replaced by magnesium are termed _dolomites_. the dolomites are distinguished by their hardness, and by their not parting with the whole of their carbonic anhydride so easily as the limestones under the action of acids. dolomites[ ] sometimes contain an equal number of molecules of calcium carbonate and magnesium carbonate, and they also sometimes appear in a crystalline form, which is easily intelligible, because calcium carbonate itself is exceedingly common in this form in nature, and is then known as _calc spar_, whilst natural crystalline magnesium carbonate is termed _magnesite_. the formation of the crystalline varieties of the insoluble carbonates is explained by the possibility of a slow deposition from solutions containing carbonic acid. besides which (chapter x.) calcium and magnesium sulphates are obtained from sea water, and therefore they are met with both as deposits and in springs. it must be observed that magnesium is held in considerable quantities in sea water, because the sulphate and chloride of magnesium are very soluble in water, whilst calcium sulphate is but little soluble, and is used in the formation of shells; and therefore if the occurrence of considerable deposits of magnesium sulphate cannot be expected in nature, still, on the other hand, one would expect (and they do actually occur) large masses of calcium sulphate or _gypsum_, caso_{ }, h_{ }o. gypsum sometimes forms strata of immense size, which extend over many hectometres--for example, in russia on the volga, and in the donetz and baltic provinces. [ ] sodium carbonate and other carbonates of the alkalis give acid salts which are less soluble than the normal; here, on the contrary, with an excess of carbonic anhydride, a salt is formed which is more soluble than the normal, but this acid salt is more unstable than sodium hydrogen carbonate, nahco_{ }. [ ] the formation of dolomite may be explained, if only we imagine that a solution of a magnesium salt acts on calcium carbonate. magnesium carbonate may be formed by double decomposition, and it must be supposed that this process ceases at a certain limit (chapter xii.), when we shall obtain a mixture of the carbonates of calcium and magnesium. haitinger heated a mixture of calcium carbonate, caco_{ }, with a solution of an equivalent quantity of magnesium sulphate, mgso_{ }, in a closed tube at °, and then a portion of the magnesia actually passed into the state of magnesium carbonate, mgco_{ }, and a portion of the lime was converted into gypsum, caso_{ }. lubavin ( ) showed that mgco_{ } is more soluble than caco_{ } in salt water, which is of some significance in explaining the composition of sea water. lime and magnesia also, but in much smaller quantities (only to the amount of several fractions of a per cent. and rarely more), enter into the composition of every fertile soil, and without these bases the soil is unable to support vegetation. lime is particularly important in this respect, and its presence in a larger quantity generally improves the harvest, although purely calcareous soils are as a rule infertile. for this reason the soil is fertilised both with lime[ ] itself and with marl--that is, with clay mixed with a certain quantity of calcium carbonate, strata of which are found nearly everywhere. [ ] the undoubted action of lime in increasing the fertility of soils--if not in every case, at all events, with ordinary soils which have long been under corn--is based not so much on the need of plants for the lime itself as on those chemical and physical changes which it produces in the soil, as a particularly powerful base which aids the alteration of the mineral and organic elements of the soil. from the soil the lime and magnesia (in a smaller quantity) pass into the substance of _plants_, where they occur as salts. certain of these salts separate in the interior of plants in a crystalline form--for example, calcium oxalate. the lime occurring in plants serves as the source for the formation of the various calcareous secretions which are so common in _animals_ of all classes. the bones of the highest animal orders, the shells of mollusca, the covering of the sea-urchin, and similar solid secretions of sea animals, contain calcium salts; namely, the shells mainly calcium carbonate, and the bones mainly calcium phosphate. certain limestones are almost entirely formed of such deposits. odessa is situated on a limestone of this kind, composed of shells. thus magnesium and calcium occur throughout the entire realm of nature, but calcium predominates. as lime and magnesia form bases which are in many respects analogous, they were not distinguished from each other for a long time. magnesia was obtained for the first time in the seventeenth century from italy, and used as a medicine; and it was only in the last century that black, bergmann, and others distinguished magnesia from lime. _metallic magnesium_ (and calcium also) is not obtained by heating magnesium oxide or the carbonate with charcoal, as the alkali metals are obtained,[ ] but is liberated by the action of a galvanic current on fused magnesium chloride (best mixed with potassium chloride); davy and bussy obtained metallic magnesium by acting on magnesium chloride with the vapours of potassium. at the present time (deville's process) magnesium is prepared in rather considerable quantities by a similar process, only the potassium is replaced by sodium. anhydrous magnesium chloride, together with sodium chloride and calcium fluoride, is fused in a close crucible. the latter substances only serve to facilitate the formation of a fusible mass before and after the reaction, which is indispensable in order to prevent the access and action of air. one part of finely divided sodium to five parts of magnesium chloride is thrown into the strongly heated molten mass, and after stirring the reaction proceeds very quickly, and magnesium separates, mgcl_{ } + na_{ } = mg + nacl. in working on a large scale, the powdery metallic magnesium is then subjected to distillation at a white heat. the distillation of the magnesium is necessary, because the undistilled metal is not homogeneous[ ] and burns unevenly: the metal is prepared for the purpose of illumination. magnesium is a white metal, like silver; it is not soft like the alkali metals, but is, on the contrary, hard like the majority of the ordinary metals. this follows from the fact that it melts at a somewhat high temperature--namely, about °--and boils at about °. it is malleable and ductile, like the generality of metals, so that it can be drawn into wires and rolled into ribbon; it is most frequently used for lighting purposes in the latter form. unlike the alkali metals, magnesium does not decompose the atmospheric moisture at the ordinary temperature, so that it is almost unacted on by air; it is not even acted on by water at the ordinary temperature, so that it may be washed to free it from sodium chloride. magnesium only decomposes water with the evolution of hydrogen at the boiling point of water,[ ] and more rapidly at still higher temperatures. this is explained by the fact that in decomposing water magnesium forms an insoluble hydroxide, mgh_{ }o_{ }, which covers the metal and hinders the further action of the water. magnesium easily displaces hydrogen from acids, forming magnesium salts. when ignited it _burns_, not only in oxygen but in air (and even in carbonic anhydride), forming a white powder of magnesium oxide, or magnesia; in burning it emits a white and exceedingly _brilliant light_. the strength of this light naturally depends on the fact that magnesium ( parts by weight) in burning evolves about thousand heat units, and that the product of combustion, mgo, is infusible by heat; so that the vapour of the burning magnesium contains an ignited powder of non-volatile and infusible magnesia, and consequently presents all the conditions for the production of a brilliant light. the light emitted by burning magnesium contains many rays which act chemically, and are situated in the violet and ultra-violet parts of the spectrum. for this reason burning magnesium may be employed for producing photographic images.[ ] [ ] sodium and potassium only decompose magnesium oxide at a white heat and very feebly, probably for two reasons. in the first place, because the reaction mg + o develops more heat (about thousand calories) than k_{ } + o or na_{ } + o (about thousand calories); and, in the second place, because magnesia is not fusible at the heat of a furnace and cannot act on the charcoal, sodium, or potassium--that is, it does not pass into that mobile state which is necessary for reaction. the first reason alone is not sufficient to explain the absence of the reaction between charcoal and magnesia, because iron and charcoal in combining with oxygen evolve less heat than sodium or potassium, yet, nevertheless, they can displace them. with respect to magnesium chloride, it acts on sodium and potassium, not only because their combination with chlorine evolves more heat than the combination of chlorine and magnesium (mg + cl_{ } gives and na_{ } + cl_{ } about thousand calories), but also because a fusion, both of the magnesium chloride and of the double salt, takes place under the action of heat. it is probable, however, that a reverse reaction will take place. a reverse reaction might probably be expected, and winkler ( ) showed that mg reduces the oxides of the alkali metals (chapter xiii., note ). [ ] commercial magnesium generally contains a certain amount of magnesium nitride (deville and caron), mg_{ }n_{ }--that is, a product of substitution of ammonia which is directly formed (as is easily shown by experiment) when magnesium is heated in nitrogen. it is a yellowish green powder, which gives ammonia and magnesia with water, and cyanogen when heated with carbonic anhydride. pashkoffsky ( ) showed that mg_{ }n_{ } is easily formed and is the sole product when mg is heated to redness in a current of nh_{ }. perfectly pure magnesium may be obtained by the action of a galvanic current. [ ] hydrogen peroxide (weltzien) dissolves magnesium. the reaction has not been investigated. [ ] a special form of apparatus is used for burning magnesium. it is a clockwork arrangement in which a cylinder rotates, round which a ribbon or wire of magnesium is wound. the wire is subjected to a uniform unwinding and burning as the cylinder rotates, and in this manner the combustion may continue uniform for a certain time. the same is attained in special lamps, by causing a mixture of sand and finely divided magnesium to fall from a funnel-shaped reservoir on to the flame. in photography it is best to blow finely divided magnesium into a colourless (spirit or gas) flame, and for instantaneous photography to light a cartridge of a mixture of magnesium and chlorate of potassium by means of a spark from a ruhmkorff's coil (d. mendeléeff, ). owing to its great affinity for oxygen, magnesium _reduces_ many metals (zinc, iron, bismuth, antimony, cadmium, tin, lead, copper, silver, and others) from solutions of their salts at the ordinary temperature,[ ] and at a red heat finely divided magnesium takes up the oxygen from silica, alumina, boric anhydride, &c.; so that silicon and similar elements may be obtained by directly heating a mixture of powdered silica and magnesium in an infusible glass tube.[ ] [ ] according to the observations of maack, comaille, böttger, and others. the reduction by heat mentioned further on was pointed out by geuther, phipson, parkinson and gattermann. [ ] this action of metallic magnesium in all probability depends, although only partially (_see_ note ), on its volatility, and on the fact that, in combining with a given quantity of oxygen, it evolves more heat than aluminium, silicon, potassium, and other elements. the affinity of magnesium for the halogens is much more feeble than for oxygen,[ ] as is at once evident from the fact that a solution of iodine acts feebly on magnesium; still magnesium burns in the vapours of iodine, bromine, and chlorine. the character of magnesium is also seen in the fact that all its salts, especially in the presence of water, are decomposable at a comparatively moderate temperature, the elements of the acid being evolved, and the magnesium oxide, which is non-volatile and unchangeable by heat, being left. this naturally refers to those acids which are themselves volatilised by heat. even magnesium sulphate is completely decomposed at the temperature at which iron melts, oxide of magnesium remaining behind. this decomposition of magnesium salts by heat proceeds much more easily than that of calcium salts. for example, magnesium carbonate is totally decomposed at °, magnesium oxide being left behind. this _magnesia_, or _magnesium oxide_, is met with both in an anhydrous and hydrated state in nature (the anhydrous magnesia as the mineral _periclase_, mgo, and the hydrated magnesia as _brucite_, mgh_{ }o_{ }). magnesia is a well-known medicine (calcined magnesia--_magnesia usta_). it is a white, extremely fine, and very voluminous powder, of specific gravity · ; it is infusible by heat, and only shrinks or shrivels in an oxyhydrogen flame. after long contact the anhydrous magnesia combines with water, although very slowly, forming the hydroxide mg(ho)_{ }, which, however, parts with its water with great ease when heated even below a red heat, and again yields anhydrous magnesia. this hydroxide is obtained directly as a gelatinous amorphous substance when a soluble alkali is mixed with a solution of any magnesium salt, mgcl_{ } + kho = mg(ho)_{ } + kcl. this decomposition is complete, and nearly all the magnesium passes into the precipitate; and this clearly shows the almost perfect insolubility of magnesia in water. water dissolves a scarcely perceptible quantity of magnesium hydroxide--namely, one part is dissolved by , parts of water. such a solution, however, has an alkaline reaction, and gives, with a salt of phosphoric acid, a precipitate of magnesium phosphate, which is still more insoluble. magnesia is not only dissolved by acids, forming salts, but it also displaces certain other bases--for example, ammonia from ammonium salts when boiled; and the hydroxide also absorbs carbonic anhydride from the air. the magnesium salts, like those of calcium, potassium, and sodium, are colourless if they are formed from colourless acids. those which are soluble have a bitter taste, whence magnesia has been termed _bitter-earth_. in comparison with the alkalis magnesia is a feeble base, inasmuch as it forms somewhat unstable salts, easily gives basic salts, forms acid salts with difficulty, and is able to give double salts with the salts of the alkalis, which facts are characteristic of feeble bases, as we shall see in becoming acquainted with the different metals. [ ] davy, on heating magnesia in chlorine, concluded that there was a complete substitution, because the volume of the oxygen was half the volume of the chlorine; it is probable, however, that owing to the formation of chlorine oxide (chapter xi., note ) the decomposition is not complete and is limited by a reverse reaction. the power of magnesium salts to form double and basic salts is very frequently shown in reactions, and is specially marked as regards ammonium salts. if saturated solutions of magnesium and ammonium sulphates are mixed together, a crystalline double salt mg(nh_{ })_{ }(so_{ })_{ }, h_{ }o,[ ] is immediately precipitated. a strong solution of ordinary ammonium carbonate dissolves magnesium oxide or carbonate, and precipitates crystals of a double salt, mg(nh_{ })_{ }(co_{ })_{ }, h_{ }o, from which water extracts the ammonium carbonate. with an excess of an ammonium salt the double salt passes into solution,[ ] and therefore if a solution contain a magnesium salt and an excess of an ammonium salt--for instance, sal-ammoniac--then sodium carbonate will no longer precipitate magnesium carbonate. a mixture of solutions of magnesium and ammonium chlorides, on evaporation or refrigeration, gives a double salt, mg(nh_{ })cl_{ }, h_{ }o.[ ] the salts of potassium, like those of ammonium, are able to enter into combination with the magnesium salts.[ ] for instance, the double salt, mgkcl_{ }, h_{ }o, which is known as _carnallite_,[ ] and occurs in the salt mines of stassfurt, may be formed by freezing a saturated solution of potassium chloride with an excess of magnesium chloride. a saturated solution of magnesium sulphate dissolves potassium sulphate, and solid magnesium sulphate is soluble in a saturated solution of potassium sulphate. a double salt, k_{ }mg(so_{ })_{ }, h_{ }_o, which closely resembles the above-mentioned ammonium salt, crystallises from these solutions.[ ] the nearest analogues of magnesium are able to give exactly similar double salts, both in crystalline form (monoclinic system) and composition; they, like this salt (_see_ chapter xv.), are easily able (at °) to part with all their water of crystallisation, and correspond with the salts of sulphuric acid, whose type may be taken as _magnesium sulphate_, mgso_{ }.[ ] it occurs at stassfurt as _kieserite_, mgso_{ },h_{ }o, and generally separates from solutions as a heptahydrated salt, mgso_{ }, h_{ }o, and from supersaturated solutions as a hexahydrated salt, mgso_{ }, h_{ }o; at temperatures below ° it crystallises out as a dodecahydrated salt, mgso_{ }, h_{ }o, and a solution of the composition mgso_{ }, h_{ }o solidifies completely at - °.[ ] thus between water and magnesium sulphate there may exist several definite and more or less stable degrees of equilibrium; the double salt mgso_{ }k_{ }so_{ }, h_{ }o may be regarded as one of these equilibrated systems, the more so since it contains h_{ }o, whilst mgso_{ } forms its most stable system with h_{ }o, and the double salt may be considered as this crystallo-hydrate in which one molecule of water is replaced by the molecule k_{ }so_{ }.[ ] [ ] even a solution of ammonium chloride gives this salt with magnesium sulphate. its sp. gr. is · ; parts of water at ° dissolve , at ° · parts of the anhydrous salt. at about ° it loses all its water. [ ] this is an example of equilibrium and of the influence of mass; the double salt is decomposed by water, but if instead of water we take a solution of that soluble part which is formed in the decomposition of the double salt, then the latter dissolves as a whole. [ ] if an excess of ammonia be added to a solution of magnesium chloride, only half the magnesium is thrown down in the precipitate, mgcl_{ } + nh_{ }.oh = mg(oh)_{ } + mg.nh_{ }cl_{ } + nh_{ }cl. a solution of ammonium chloride reacts with magnesia, evolving ammonia and forming a solution of the same salt, mgo + nh_{ }cl = mgnh_{ }cl_{ } + h_{ }o + nh_{ }. among the double salts of ammonium and magnesium, the phosphate, mgnh_{ }po_{ }, h_{ }o, is almost insoluble in water ( · gram is soluble in a litre), even in the presence of ammonia. magnesia is very frequently precipitated as this salt from solutions in which it is held by ammonium salts. as lime is not retained in solution by the presence of ammonium salts, but is precipitated nevertheless by sodium carbonate, &c., it is very easy to separate calcium from magnesium by taking advantage of these properties. [ ] in order to see the nature and cause of formation of double salts, it is sufficient (although this does not embrace the whole essence of the matter) to consider that one of the metals of such salts (for instance, potassium) easily gives acid salts, and the other (in this instance, magnesium) basic salts; the properties of distinctly basic elements predominate in the former, whilst in the latter these properties are enfeebled, and the salts formed by them bear the character of acids--for example, the salts of aluminium or magnesium act in many cases like acids. by their mutual combination these two opposite properties of the salts are both satisfied. [ ] carnallite has been mentioned in chapter x. (note ) and in chapter xiii. these deposits also contain much _kainite_, kmgcl(so_{ }), h_{ }o (sp. gr. · ; parts of water dissolve · parts at °). this double salt contains two metals and two haloids. feit ( ) also obtained a bromide corresponding to carnallite. [ ] the component parts of certain double salts diffuse at different rates, and as the diffused solution contains a different proportion of the component salts than the solution taken of the double salt, it shows that such salts are decomposed by water. according to rüdorff, the double salts, like carnallite, mgk_{ }(so_{ })_{ }, h_{ }o, and the alums, all belong to this order ( ). but such salts as tartar emetic, the double oxalates, and double cyanides are not separated by diffusion, which in all probability depends both on the relative rate of the diffusion of the component salts and on the degree of affinity acting between them. those complex states of equilibrium which exist between water, the individual salts mx and ny, and the double salt mnxy, have been already partially analysed (as will be shown hereafter) in that case when the system is heterogeneous (that is, when something separates out in a solid state from the liquid solution), but in the case of equilibria in a homogeneous liquid medium (in a solution) the phenomenon is not so clear, because it concerns that very theory of solution which cannot yet be considered as established (chapter i., note , and others). as regards the heterogeneous decomposition of double salts, it has long been known that such salts as carnallite and k_{ }mg(so_{ })_{ } give up the more soluble salt if an insufficient quantity of water for their complete solution be taken. the complete saturation of parts of water requires at ° · , at ° , and at ° · parts of the latter double salt (anhydrous), while parts of water dissolve parts of magnesium sulphate at °, parts at °, and parts at °, of the anhydrous salt taken. of all the states of equilibrium exhibited by double salts the most fully investigated as yet is the system containing water, sodium sulphate, magnesium sulphate, and their double salt, na_{ }mg(so_{ })_{ }, which crystallises with and mol. oh_{ }. the first crystallo-hydrate, mgna_{ }(so_{ })_{ }, h_{ }o, occurs at stassfurt, and as a sedimentary deposit in many of the salt lakes near astrakhan, and is therefore called _astrakhanite_. the specific gravity of the monoclinic prisms of this salt is · . if this salt, in a finely divided state, be mixed with the necessary quantity of water (according to the equation mgna_{ }(so_{ })_{ }, h_{ }o + h_{ }o = na_{ }so_{ }, h_{ }o + mgso_{ }, h_{ }o), the mixture solidifies like plaster of paris into a homogeneous mass if the temperature be _below_ ° (van't hoff und van deventer, ; bakhuis roozeboom, ); but if the temperature be above this _transition-point_ the water and double salt do not react on each other: that is, they do not solidify or give a mixture of sodium and magnesium sulphates. if a mixture (in equivalent quantities) of solutions of these salts be evaporated, and crystals of astrakhanite and of the individual salts capable of proceeding from it be added to the concentrated solution to avoid the possibility of a supersaturated solution, then at temperatures above ° astrakhanite is exclusively formed (this is the method of its production), but at lower temperatures the individual salts are alone produced. if equivalent amounts of glauber's salt and magnesium sulphate be mixed together in a solid state, there is no change at temperatures below °, but at higher temperatures astrakhanite and water are formed. the volume occupied by na_{ }so_{ }, h_{ }o in grams = / · = · cubic centimetres, and by mgso_{ }, h_{ }o = / · = · c.c.; hence their mixture in equivalent quantities occupies a volume of · c.c. the volume of astrakhanite = / · = · c.c., and the volume of h_{ }o = c.c., hence their sum = · c.c., and therefore it is easy to follow the formation of the astrakhanite in a suitable apparatus (a kind of thermometer containing oil and a powdered mixture of sodium and magnesium sulphates), and to see by the variation in volume that below ° it remains unchanged, and at higher temperatures proceeds the more quickly the higher the temperature. at the transition temperature the solubility of astrakhanite and of the mixture of the component salts is one and the same, whilst at higher temperatures a solution which is saturated for a mixture of the individual salts would be supersaturated for astrakhanite, and at lower temperatures the solution of astrakhanite will be supersaturated for the component salts, as has been shown with especial detail by karsten, deacon, and others. roozeboom showed that there are two limits to the composition of the solutions which can exist for a double salt; these limits are respectively obtained by dissolving a mixture of the double salt with each of its component simple salts. van't hoff demonstrated, besides this, that the tendency towards the formation of double salts has a distinct influence on the progress of double decomposition, for at temperatures above ° the mixture mgso_{ }, h_{ }o + nacl passes into mgna_{ }(so_{ })_{ }, h_{ }o + mgcl_{ }, h_{ }o + h_{ }o, whilst below ° there is not this double decomposition, but it proceeds in the opposite direction, as may be demonstrated by the above-described methods. van der heyd obtained a potassium astrakhanite, k_{ }so_{ }mgso_{ }, h_{ }o, from solutions of the component salts at °. from these experiments on double salts we see that there is as close a dependence between the temperature and the formation of substances as there is between the temperature and a change of state. it is a case of deville's principles of dissociation, extended in the direction of the passage of a solid into a liquid. on the other hand, we see here how essential a _rôle_ water plays in the formation of compounds, and how the affinity for water of crystallisation is essentially analogous to the affinity between salts, and hence also to the affinity of acids for bases, because the formation of double salts does not differ in any essential point (except the degree of affinity--that is, from a quantitative aspect) from the formation of salts themselves. when sodium hydroxide with nitric acid gives sodium nitrate and water the phenomenon is essentially the same as in the formation of astrakhanite from the salts na_{ }so_{ }, h_{ }o and mgso_{ }, h_{ }o. water is disengaged in both cases, and hence the volumes are altered. [ ] this salt, and especially its crystallo-hydrate with h_{ }o, is generally known as epsom salts. it has long been used as a purgative. it is easily obtained from magnesia and sulphuric acid, and it separates on the evaporation of sea water and of many saline springs. when carbonic anhydride is obtained by the action of sulphuric acid on magnesite, magnesium sulphate remains in solution. when dolomite--that is, a mixture of magnesium and calcium carbonates--is subjected to the action of a solution of hydrochloric acid until about half of the salt remains, the calcium carbonate is mostly dissolved and magnesium carbonate is left, which by treatment with sulphuric acid gives a solution of magnesium sulphate. [ ] the anhydrous salt, mgso_{ } (sp. gr. · ), attracts moisture ( mol. h_{ }o) from moist air; when heated in steam or hydrogen chloride it gives sulphuric acid, and when heated with carbon it is decomposed according to the equation mgso_{ } + c = so_{ } + co_{ } + mgo. the monohydrated salt (kieserite), mgso_{ },h_{ }o (sp. gr. · ), dissolves in water with difficulty; it is formed by heating the other crystallo-hydrates to °. the hexahydrated salt is dimorphous. if a solution, saturated at the boiling-point, be prepared, and cooled without access of crystals of the heptahydrated salt, then mgso_{ }, h_{ }o crystallises out in _monoclinic_ prisms (loewel, marignac), which are quite as unstable as the salt, na_{ }so_{ }, h_{ }o; but if prismatic crystals of the cubic system of the copper-nickel salts of the composition mso_{ }, h_{ }o be added, then crystals of mgso_{ }, h_{ }o are deposited on them as prisms of the _cubic_ system (lecoq de boisbaudran). the common crystallo-hydrate, mgso_{ }, h_{ }o, epsom salts, belongs to the _rhombic_ system, and is obtained by crystallisation below °. its specific gravity is · . in a vacuum, or at °, it loses h_{ }o, at ° h_{ }o, and at ° all the h_{ }o (graham). if crystals of ferrous or cobaltic sulphate be placed in a saturated solution, _hexagonal_ crystals of the heptahydrated salt are formed (lecoq de boisbaudran); they present an unstable state of equilibrium, and soon become cloudy, probably owing to their transformation into the more stable common form. fritzsche, by cooling saturated solutions below °, obtained a mixture of crystals of ice and of a dodecahydrated salt, which easily split up at temperatures above °. guthrie showed that dilute solutions of magnesium sulphate, when refrigerated, separate ice until the solution attains a composition mgso_{ }, h_{ }o, which will completely freeze into a crystallo-hydrate at - · °. according to coppet and rüdorff, the temperature of the formation of ice falls by · ° for every part by weight of the heptahydrated salt per of water. this figure gives (chapter i., note ) _i_ = for both the heptahydrated and the anhydrous salt, from which it is evident that it is impossible to judge the state of combination in which a dissolved substance occurs by the temperature of the formation of ice. the solubility of the different crystallo-hydrates of magnesium sulphate, according to loewel, also varies, like those of sodium sulphate or carbonate (_see_ chapter xii., notes and ). at ° parts of water dissolves · mgso_{ } in the presence of the hexahydrated salt, · mgso_{ } in the presence of the hexagonal heptahydrated salt, and only parts of mgso_{ } in the presence of the ordinary heptahydrated salt--that is, solutions giving the remaining crystallo-hydrates will be supersaturated for the ordinary heptahydrated salt. all this shows how many diverse aspects of more or less stable equilibria may exist between water and a substance dissolved in it; this has already been enlarged on in chapter i. carefully purified magnesium sulphate in its aqueous solution gives, according to stcherbakoff, an alkaline reaction with litmus, and an acid reaction with phenolphthalein. the specific gravity of solutions of certain salts of magnesium and calcium reduced to °/ ° (see my work cited, chapter i., note ), are, if water at ° = , , mgso_{ }: _s_ = , + · _p_ + · _p_^ mgcl_{ }: _s_ = , + · _p_ + · _p_^ cacl_{ }: _s_ = , + · _p_ + · _p_^ [ ] graham even distinguished the last equivalent of the water of crystallisation of the heptahydrated salt as that which is replaced by other salts, pointing out that double salts like mgk_{ }(so_{ })_{ }, h_{ }o lose all their water at °, whilst mgso_{ }, h_{ }o only parts with h_{ }o. _the power of forming basic salts_ is a very remarkable peculiarity of magnesia and other feeble bases, and especially of those corresponding with polyvalent metals. the very powerful bases corresponding with univalent metals--like potassium and sodium--do not form basic salts, and, indeed, are more prone to give acid salts, whilst magnesium easily and frequently forms basic salts, especially with feeble acids, although there are some oxides--as, for example, copper and lead oxides--which still more frequently give basic salts. if a cold solution of magnesium sulphate be mixed with a solution of sodium carbonate there is formed a gelatinous precipitate of a basic salt, mg(ho)_{ }, mgco_{ }, h_{ }o; but all the magnesia is not precipitated in this case, as a portion of it remains in solution as an acid double salt. if sodium carbonate be added to a boiling solution of magnesium sulphate a precipitate of a still more basic salt is formed, mgso_{ } + na_{ }co_{ } + h_{ }o = na_{ }so_{ } + co_{ } + mg(oh)_{ }, mgco_{ }, h_{ }o. this basic salt forms the ordinary drug _magnesia_ (_magnesia alba_), in the form of light porous lumps. other basic salts are formed under certain modifications of temperature and conditions of decomposition. but _the normal salt_, mgco_{ }, which occurs in nature as magnesite in the form of rhombohedra of specific gravity · , cannot be obtained by such a method of precipitation. in fact, the formation of the different basic salts shows the power of water to decompose the normal salt. it is possible, however, to obtain this salt both in an anhydrous and hydrated state. a solution of magnesium carbonate in water containing carbonic acid is taken for this purpose. the reason for this is easily understood--carbonic anhydride is one of the products of the decomposition of magnesium carbonate in the presence of water. if this solution be left to evaporate spontaneously the normal salt separates in a hydrated form, but in the evaporation of a heated solution, through which a stream of carbonic anhydride is passed, the anhydrous salt is formed as a crystalline mass, which remains unaltered in the air, like the natural mineral.[ ] the decomposing influence of water on the salts of magnesium, which is directly dependent on the feeble basic properties of magnesia,[ ] is most clearly seen in _magnesium chloride_, mgcl_{ }. this salt is contained[ ] in the last mother-liquors of the evaporation of sea-water. on cooling a sufficiently concentrated solution, the crystallo-hydrate, mgcl_{ }, h_{ }o, separates;[ ] but if it be further heated (above °) to remove the water, then hydrochloric acid passes off together with the latter, so that there ultimately remains magnesia with a small quantity of magnesium chloride.[ ] from what has been said it is evident that anhydrous magnesium chloride cannot be obtained by simple evaporation. but if sal-ammoniac or sodium chloride be added to a solution of magnesium chloride, then the evolution of hydrochloric acid does not take place, and after complete evaporation the residue is perfectly soluble in water. this renders it possible to obtain anhydrous magnesium chloride from its aqueous solution. indeed the mixture with sal-ammoniac (in excess) may be dried (the residue consists of an anhydrous double salt, mgcl_{ }, nh_{ }cl) and then ignited ( °), when the sal-ammoniac is converted into vapour and a fused mass of anhydrous magnesium chloride remains behind. the anhydrous chloride evolves a very considerable amount of heat on the addition of water, which shows the great affinity the salt has for water.[ ] anhydrous magnesium chloride is not only obtained by the above method, but is also formed by the direct combination of chlorine and magnesium, and by the action of chlorine on magnesium oxide, oxygen being evolved; this proceeds still more easily _by heating magnesia with charcoal in a stream of chlorine_, when the charcoal serves to take up the oxygen. this latter method is also employed for the preparation of chlorides which are formed in an anhydrous condition with still greater difficulty than magnesium chloride. anhydrous magnesium chloride forms a colourless, transparent mass, composed of flexible crystalline plates of a pearly lustre. it fuses at a low red heat ( °) into a colourless liquid, remains unchanged in a dry state, but under the action of moisture is partially decomposed even at the ordinary temperature, with formation of hydrochloric acid. when heated in the presence of oxygen (air) it gives chlorine and the basic salt, which is formed with even greater facility under the action of heat in the presence of steam, when hcl is formed, according to the equation mgcl_{ } + h_{ }o = mgomgcl_{ } + hcl.[ bis] [ ] the crystalline form of the anhydrous salt obtained in this manner is not the same as that of the natural salt. the former gives rhombohedra, like those in which calcium carbonate appears as calc spar, whilst the natural salt appears as rhombic prisms, like those sometimes presented by the same carbonate as aragonite, which will shortly be described. [ ] magnesium sulphate enters into certain reactions which are proper to sulphuric acid itself. thus, for instance, if a carefully prepared mixture of equivalent quantities of hydrated magnesium sulphate and sodium chloride be heated to redness, the evolution of hydrochloric acid is observed just as in the action of sulphuric acid on common salt, mgso_{ } + nacl + h_{ }o = na_{ }so_{ } + mgo + hcl. magnesium sulphate acts in a similar manner on nitrates, with the evolution of nitric acid. a mixture of it with common salt and manganese peroxide gives chlorine. sulphuric acid is sometimes replaced by magnesium sulphate in galvanic batteries--for example, in the well-known meidinger battery. in the above-mentioned reactions we see a striking example of the similarity of the reactions of acids and salts, especially of salts which contain such feeble bases as magnesia. [ ] as sea-water contains many salts, mcl and mgx_{ }, it follows, according to berthollet's teaching, that mgcl_{ } is also present. [ ] as the crystallo-hydrates of the salts of sodium often contain h_{ }o, so many of the salts of magnesium contain h_{ }o. [ ] this decomposition is most simply defined as the result of the two reverse reactions, mgcl_{ } ÷ h_{ }o = mgo + hcl and mgo + hcl = mgcl_{ } + h_{ }o, or as a distribution between o and cl_{ } on the one hand and h_{ } and mg on the other. (with o, mgcl_{ } gives chlorine, _see_ chapter x., note , and chapter ii., note bis and others, where the reactions and applications of mgcl_{ } are given.) it is then clear that, according to berthollet's doctrine, the mass of the hydrochloric acid converts the magnesium oxide into chloride, and the mass of the water converts the magnesium chloride into oxide. the crystallo-hydrate, mgcl_{ }, h_{ }o, forms the limit of the reversibility. but an intermediate state of equilibrium may exist in the form of basic salts. on mixing ignited magnesia with a solution of magnesium chloride of specific gravity about · , a solid mass is obtained which is scarcely decomposed by water at the ordinary temperature (_see_ chapter xvi., note ). a similar means is employed for cementing sawdust into a solid mass, called cylolite, used for flooring, &c. we may remark that mgbr_{ } crystallises not only with h_{ }o (temperature of fusion °), but also with h_{ }o (temperature of fusion + °, formed at - °). (panfiloff, ). [ ] according to thomsen, the combination of mgcl_{ } with h_{ }o evolves , calories, and its solution in an excess of water , . [ bis] hence mgcl_{ } may be employed for the preparation of chlorine and hydrochloric acid (chapters x. and xi.). in general magnesium chloride, which is obtained in large quantities from sea water and stassfurt carnallite, may find numerous practical uses. _calcium_ (or the metal of lime) and its compounds in many respects present a great resemblance to magnesium compounds, but are also clearly distinguished from them by many properties.[ ] in general, calcium stands to magnesium in the same relation as potassium occupies in respect to sodium. davy obtained metallic calcium, like potassium, as an amalgam by the action of a galvanic current; but neither charcoal nor iron decomposes calcium oxide, and even sodium decomposes calcium chloride[ ] with difficulty. but a galvanic current easily decomposes calcium chloride, and metallic sodium somewhat easily decomposes calcium iodide when heated. as in the case of hydrogen, potassium, and magnesium, the affinity of iodine for calcium is feebler than that of chlorine (and oxygen), and therefore it is not surprising that calcium iodide may be subjected to that decomposition, which the chloride and oxide undergo with difficulty.[ ] _metallic calcium_ is of a yellow colour, and has a considerable lustre, which it preserves in dry air. its specific gravity is · . calcium is distinguished by its great ductility; it melts at a red heat and then burns in the air with a very brilliant flame; the brilliancy is due to the formation of finely divided infusible calcium oxide. judging from the fact that calcium in burning gives a very large flame, it is probable that this metal is volatile. calcium decomposes water at the ordinary temperature, and is oxidised in moist air, but not so rapidly as sodium. in burning, it gives its oxide or _lime_, cao, a substance which is familiar to every one, and of which we have already frequently had occasion to speak. this oxide is not met with in nature in a free state, because it is an energetic base which everywhere encounters acid substances forming salts with them. it is generally combined with silica, or occurs as calcium carbonate or sulphate. the carbonate and nitrate are decomposed, at a red heat, with the formation of lime. as a rule, the carbonate, which is so frequently met with in nature, serves as the source of the calcium oxide, both commercial and pure. when heated, calcium carbonate dissociates: caco_{ } = cao + co_{ }. in practice the decomposition is conducted at a bright red heat, in the presence of steam, or a current of a foreign gas, in heaps or in special kilns.[ ] [ ] there are many other methods of separating calcium from magnesium besides that mentioned above (note ). among them it will be sufficient to mention the behaviour of these bases towards a solution of sugar; hydrated _lime_ is exceedingly _soluble in an aqueous solution of sugar_, whilst magnesia is but little soluble. all the lime may be extracted from dolomite by burning it, slaking the mixture of oxides thus obtained, and adding a p.c. solution of sugar. carbonic anhydride precipitates calcium carbonate from this solution. the addition of sugar (molasses) to the lime used for building purposes powerfully increases the binding power of the mortar, as i have myself found. i have been told that in the east (india, japan) the addition of sugar to cement has long been practised. [ ] moreover caron obtained an alloy of calcium and zinc by fusing calcium chloride with zinc and sodium. the zinc distilled from this alloy at a white heat, leaving calcium behind (note ). [ ] calcium iodide may be prepared by saturating lime with hydriodic acid. it is a very soluble salt (at ° one part of the salt requires · part and at ° · part of water for solution), is deliquescent in the air, and resembles calcium chloride in many respects. it changes but little when evaporated, and like calcium chloride fuses when heated, and therefore all the water may be driven off by heat. if anhydrous calcium iodide be heated with an equivalent quantity of sodium in a closely covered iron crucible, sodium iodide and metallic calcium are formed (liés-bodart). dumas advises carrying on this reaction in a closed space under pressure. [ ] kilns which act either intermittently or continuously are built for this purpose. those of the first kind are filled with alternate layers of fuel and limestone; the fuel is lighted, and the heat developed by its combustion serves for decomposing the limestone. when the process is completed the kiln is allowed to cool somewhat, the lime raked out, and the same process repeated. in the continuously acting furnaces, constructed like that shown in fig. , the kiln itself only contains limestone, and there are lateral hearths for burning the fuel, whose flame passes through the limestone and serves for its decomposition. such furnaces are able to work continuously, because the unburnt limestone may be charged from above and the burnt lime raked out from below. it is not every limestone that is suitable for the preparation of lime, because many contain impurities, principally clay, dolomite, and sand. such limestones when burnt either fuse partially or give an impure lime, called _poor_ lime in distinction from that obtained from purer limestone, which is called _rich_ lime. the latter kind is characterised by its disintegrating into a fine powder when treated with water, and is suitable for the majority of uses to which lime is applied, and for which the poor lime is sometimes quite unfit. however, certain kinds of poor lime (as we shall see in chapter xviii., note ) are used in the preparation of hydraulic cements, which solidify into a hard mass under water. in order to obtain perfectly pure lime it is necessary to take the purest possible materials. in the laboratory, marble or shells are used for this purpose as a pure form of calcium carbonate. they are first burnt in a furnace, then put in a crucible and moistened with a small quantity of water, and finally strongly ignited, by which means a pure lime is obtained. pure lime may be more rapidly prepared by taking calcium nitrate, can_{ }o_{ }, which is easily obtained by dissolving limestone in nitric acid. the solution obtained is boiled with a small quantity of lime in order to precipitate the foreign oxides which are insoluble in water. the oxides of iron, aluminium, &c., are precipitated by this means. the salt is then crystallised and ignited: can_{ }o_{ } = cao + no_{ } + o. in the decomposition of calcium carbonate the lime preserves the form of the lumps subjected to ignition; this is one of the signs distinguishing quicklime when it is freshly burnt and unaltered by air. it attracts moisture from the air and then disintegrates to a powder; if left long exposed in the air, it also attracts carbonic anhydride and increases in volume; it does not entirely pass into carbonate, but forms a compound of the latter with caustic lime. [illustration: fig. .--continually-acting kiln for burning lime. the lime is charged from above and calcined by four lateral grates, r, m. d, fire-bars. b, space for withdrawing the burnt lime. k, stoke-house. m. fire grate. q, r, under-grate.] calcium oxide--that is, quicklime--is a substance (sp. gr. · ) which is unaffected by heat,[ ] and may therefore serve as a fire-resisting material, and was employed by deville for the construction of furnaces in which platinum was melted, and silver volatilised by the action of the heat evolved by the combustion of detonating gas. the hydrated lime, slaked lime, or calcium hydroxide, cah_{ }o_{ } (specific gravity · ) is a most common alkaline substance, employed largely in building for making mortars or cements, in which case its binding property is mainly due to the absorption of carbonic anhydride.[ ] lime, like other alkalis, acts on many animal and vegetable substances, and for this reason has many practical uses--for example, for removing fats, and in agriculture for accelerating the decomposition of organic substances in the so-called _composts_ or accumulations of vegetable and animal remains used for fertilising land. calcium hydroxide easily loses its water at a moderate heat ( °), but it does not part with water at °. when mixed with water, lime forms a pasty mass known as _slaked lime_ and in a more dilute form as _milk of lime_, because when shaken up in water it remains suspended in it for a long time and presents the appearance of a milky liquid. but, besides this, lime is directly soluble in water, not to any considerable extent, but still in such a quantity that _lime water_ is precipitated by carbonic anhydride, and has clearly distinguishable alkaline properties. one part of lime requires at the ordinary temperature about parts of water for solution. at ° it requires about parts of water, and therefore lime-water becomes cloudy when boiled. if lime-water be evaporated in a vacuum, calcium hydroxide separates in six-sided crystals.[ ] if lime-water be mixed with hydrogen peroxide minute crystals of _calcium peroxide_, cao_{ }, h_{ }o, separate; this compound is very unstable and, like barium peroxide, is decomposed by heat. lime, as a powerful base, combines with all acids, and in this respect presents a transition from the true alkalis to magnesia. many of the salts of calcium (the carbonate, phosphate, borate, and oxalate) are insoluble in water; besides which the sulphate is only sparingly soluble. as a more energetic base than magnesia, lime forms salts, cax_{ }, which are distinguished by their stability in comparison with the salts mgx_{ }; neither does lime so easily form basic and double salts as magnesia. [ ] lime, when raised to a white heat in the vapour of potassium, gives calcium, and in chlorine it gives off oxygen. sulphur, phosphorus, &c., when heated with lime, are absorbed by it. [ ] the greater quantity of lime is used in making mortar for binding bricks or stones together, in the form of _lime_ or _cement_, or the so-called _slaked lime_. for this purpose the lime is mixed with water and sand, which serves to separate the particles of lime from each other. if only lime paste were put between two bricks they would not hold firmly together, because after the water had evaporated the lime would occupy a smaller space than before, and therefore cracks and powder would form in its mass, so that it would not at all produce that complete cementation of the bricks which it is desired to attain. pieces of stone--that is, sand--mixed with the lime hinder this process of disintegration, because the lime binds together the individual grains of sand mixed with it, and forms one concrete mass, in consequence of a process which proceeds after the desiccation or removal of the water. the process of the solidification of lime, taken as slaked lime, consists first in the direct evaporation of the water and crystallisation of the hydrate, so that the lime binds the stones and sand mixed with it, just as glue binds two pieces of wood. but this preliminary binding action of lime is feeble (as is seen by direct experiment) unless there be further alteration of the lime leading to the formation of carbonates, silicates, and other salts of calcium which are distinguished by their great cohesiveness. with the progress of time the cement is partially subjected to the action of the carbonic anhydride in the air, owing to which calcium carbonate is formed, but not more than half the lime is thus converted into carbonate. besides which, the lime partially acts on the silica of the bricks, and it is owing to these new combinations simultaneously forming in the cement that it gradually becomes stronger and stronger. hence the binding action of the lime becomes stronger with the lapse of time. this is the reason (and not, as is sometimes said, because the ancients knew how to build stronger than we do) why buildings which have stood for centuries possess a very strongly binding cement. hydraulic cements will be described later (chapter xviii., note ). [ ] professor glinka measured the transparent bright crystals of calcium hydroxide which are formed in common hydraulic (portland) cement. anhydrous lime does not absorb dry carbonic anhydride at the ordinary temperature. this was already known by scheele, and prof. schuliachenko showed that there is no absorption even at °. it only proceeds at a red heat,[ ] and then only leads to the formation of a mixture of calcium oxide and carbonate (rose). but if the lime be slaked or dissolved, the absorption of carbonic anhydride proceeds rapidly and completely. these phenomena are connected with the _dissociation of calcium carbonate_, studied by debray ( ) under the influence of the conceptions of dissociation introduced into science by henri saint-claire deville. just as there is no vapour tension for non-volatile substances, so there is no dissociation tension of carbonic anhydride for calcium carbonate at the ordinary temperature. just as every volatile substance has a maximum possible vapour tension for every temperature, so also calcium carbonate has its corresponding _dissociation tension_; this at ° (the boiling point of cadmium) is about mm. (of the mercury column), and at ° (the boiling point of zn) it is about mm. as, if the tension be greater, there will be no evaporation, so also there will he no decomposition. debray took crystals of calc spar, and could not observe the least change in them at the boiling point of zinc ( °) in an atmosphere of carbonic anhydride taken at the atmospheric pressure ( mm.), whilst on the other hand calcium carbonate may be completely decomposed at a much lower temperature if the tension of the carbonic anhydride be kept below the dissociation tension, which may be done either by directly pumping away the gas with an air-pump, or by mixing it with some other gas--that is, by diminishing the partial pressure of the carbonic anhydride,[ ] just as an object may be dried at the ordinary temperature by removing the aqueous vapour or by carrying it off in a stream of another gas. thus it is possible to obtain calcium carbonate from lime and carbonic anhydride at a certain temperature above that at which dissociation begins, and conversely to decompose calcium carbonate at the same temperature into lime and carbonic anhydride.[ ] at the ordinary temperature the reaction of the first order (combination) cannot proceed because the second (decomposition, dissociation) cannot take place, and thus all the most important phenomena with respect to the behaviour of lime towards carbonic anhydride are explained by starting from one common basis.[ ] [ ] the act of heating brings the substance into that state of internal motion which is required for reaction. it should be considered that by the act of heating not only is the bond between the parts, or cohesion of the molecules, altered (generally diminished), not only is the motion or store of energy of the whole molecule increased, but also that in all probability the motion of the atoms themselves in molecules undergoes a change. the same kind of change is accomplished by the act of solution, or of combination in general, judging from the fact that a dissolved or combined substance--for instance, lime with water--reacts on carbonic anhydride as it does under the action of heat. for the comprehension of chemical phenomena it is exceedingly useful to recognise clearly this parallelism. rose's observation on the formation (by the slow diffusion of solutions of calcium chloride and sodium carbonate) of aragonite from dilute, and of calc spar from strong, solutions is easily understood from this point of view. as aragonite is always formed from hot solutions, it appears that dilution with water acts like heat. the following experiment of kühlmann is particularly instructive in this sense. anhydrous (perfectly dry) barium oxide does not react with monohydrated sulphuric acid, h_{ }so_{ } (containing neither free water nor anhydride, so_{ }). but if either an incandescent object or a moist substance is brought into contact with the mixture a violent reaction immediately begins (it is essentially the same as combustion), and the whole mass reacts. the influence of solution on the process of reaction is instructively illustrated by the following experiment. lime, or barium oxide, is placed in a flask or retort having an upper orifice and connected with a tube immersed in mercury. a funnel furnished with a stopcock and filled with water is fixed into the upper orifice of the retort, which is then filled with dry carbonic anhydride. there is no absorption. when a constant temperature is arrived at, the unslaked oxide is made to absorb all the carbonic anhydride by carefully admitting water. a vacuum is formed, as is seen by the mercury rising in the neck of the retort. with water the absorption goes on to the end, whilst under the action of heat there remains the dissociating tension of the carbonic anhydride. furthermore, we here see that, with a certain resemblance, there is also a distinction, depending on the fact that at low temperatures calcium carbonate does not dissociate; this determines the complete absorption of the carbonic anhydride in the aqueous solution. [ ] experience has shown that by moistening partially-burnt lime with water and reheating it, it is easy to drive off the last traces of carbonic anhydride from it, and that, in general, by blowing air or steam through the lime, and even by using moist fuel, it is possible to accelerate the decomposition of the calcium carbonate. the partial pressure is decreased by these means. [ ] before the introduction of deville's theory of dissociation, the _modus operandi_ of decompositions like that under consideration was understood in the sense that decomposition starts at a certain temperature, and that it is accelerated by a rise of temperature, but it was not considered possible that combination could proceed at the same temperature as that at which decomposition goes on. berthollet and deville introduced the conception of equilibrium into chemical science, and elucidated the question of reversible reactions. naturally the subject is still far from being clear--the questions of the rate and completeness of reaction, of contact, &c., still intrude themselves--but an important step has been made in chemical mechanics, and we have started on a new path which promises further progress, towards which much has been done not only by deville himself, but more especially by the french chemists debray, troost, lemoine, hautefeuille, le chatelier, and others. among other things those investigators have shown the close resemblance between the phenomena of evaporation and dissociation, and pointed out that the amount of heat absorbed by a dissociating substance may be calculated according to the law of the variation of dissociation-pressure, in exactly the same manner as it is possible to calculate the latent heat of the evaporation of water, knowing the variation of the tension with the temperature, on the basis of the second law of the mechanical theory of heat. details of this subject must be looked for in special works on physical chemistry. _one and the same conception_ of the mechanical theory of heat _is applicable to dissociation_ and _evaporation_. [ ] but the question as to the formation of a basic calcium carbonate with a rise of temperature still remains undecided. the presence of water complicates all the relations between lime and carbonic anhydride, all the more as the existence of an attraction between calcium carbonate and water is seen from its being able to give a _crystallo-hydrate_, caco_{ }, h_{ }o (pelouze), which crystallises in rhombic prisms of sp. gr. about · and loses its water at °. these crystals are obtained when a solution of lime in sugar and water is left long exposed to the air and slowly attracts carbonic anhydride from it, and also by the evaporation of such a solution at a temperature of about °. on the other band, it is probable that an _acid salt_, cah_{ }(co_{ })_{ }, is formed in an aqueous solution, not only because water containing carbonic acid dissolves calcium carbonate, but more especially in view of the researches of schloesing ( ), which showed that at ° a litre of water in an atmosphere of carbonic anhydride (pressure · atmosphere) dissolves · gram of calcium carbonate and · gram of carbonic anhydride, which corresponds with the formation of calcium hydrogen carbonate, and the solution of carbonic anhydride in the remaining water. caro showed that a litre of water is able to dissolve as much as grams of calcium carbonate if the pressure be increased to and more atmospheres. the calcium carbonate is precipitated when the carbonic anhydride passes off in the air or in a current of another gas; this also takes place in many natural springs. tufa, stalactites, and other like formations from waters containing calcium carbonate and carbonic acid in solution are formed in this manner. the solubility of calcium carbonate itself at the ordinary temperature does not exceed milligrams per litre of water. _calcium carbonate_, caco_{ }, is sometimes met with in nature in a crystalline form, and it forms an example of the phenomenon termed _dimorphism_--that is, it appears in two crystalline forms. when it exhibits combinations of forms belonging to the hexagonal system (six-sided prisms, rhombohedra, &c.) it is called _calc spar_. calc spar has a specific gravity of · , and is further characterised by a distinct cleavage along the planes of the fundamental rhombohedron having an angle of °. perfectly transparent iceland spar presents a clear example of double refraction (for which reason it is frequently employed in physical apparatus). the other form of calcium carbonate occurs in crystals belonging to the rhombic system, and it is then called _aragonite_; its specific gravity is · . if calcium carbonate be artificially produced by slow crystallisation at the ordinary temperature, it appears in the rhombohedral form, but if the crystallisation be aided by heat it then appears as aragonite. it may therefore be supposed that calc spar presents the form corresponding with a low temperature, and aragonite with a higher temperature during crystallisation.[ ] [ ] dimorphous bodies differ from true isomers and polymers in that they do not differ in their chemical reactions, which are determined by a difference in the distribution (motion) of the atoms in the molecules, and therefore dimorphism is usually ascribed to a difference in the distribution of similar molecules, building up a crystal. although such a hypothesis is quite admissible in the spirit of the atomic and molecular theory, yet, as in such a redistribution of the molecules a perfect conservation of the distribution of the atoms in them cannot be imagined, and in every effort of chemical reaction there must take place a certain motion among the atoms; so in my opinion there is no firm basis for distinguishing dimorphism from the general conception of isomerism, under which the cases of those organic bodies which are dextro and lævo rotatory (with respect to polarised light) have recently been brought with such brilliant success. when calcium carbonate separates out from solutions, it has at first a gelatinous appearance, which leads to the supposition that this salt appears in a colloidal state. it only crystallises with the progress of time. the colloidal state of calcium carbonate is particularly clear from the following observations made by prof. famintzin, who showed that when it separates from solutions it is obtained under certain conditions in the form of grains having the peculiar paste-like structure proper to starch, which fact has not only an independent interest, but presents an example of a mineral substance being obtained in a form until then only known in the organic substances elaborated in plants. this shows that the forms (cells, vessels, &c.) in which vegetable and animal substances occur in organisms do not present in themselves anything peculiar to organisms, but are only the result of those particular conditions in which these substances are formed. traube and afterwards monnier and vogt ( ) obtained formations which, under the microscope, were in every respect identical in appearance with vegetable cells, by means of a similar slow formation of precipitates (by reacting on sulphates of different metals with sodium silicate or carbonate). _calcium sulphate_ in combination with two equivalents of water, caso_{ }, h_{ }o, is very widely distributed in nature, and is known as _gypsum_. gypsum loses one and a half and two equivalents of water at a moderate temperature,[ ] and anhydrous or burnt gypsum is then obtained, which is also known as plaster of paris, and is employed in large quantities for modelling.[ ] this use depends on the fact that burnt and finely-divided and sifted gypsum forms a paste when mixed with water; after a certain time this paste becomes slightly heated and solidifies, owing to the fact that the anhydrous calcium sulphate, caso_{ }, again combines with water. when the plaster of paris and water are first made into a paste they form a mechanical mixture, but when the mass solidifies, then a compound of the calcium sulphate with two molecules of water is produced; and this may be regarded as derived from s(oh)_{ } by the substitution of two atoms of hydrogen by one atom of bivalent calcium. natural gypsum sometimes appears as perfectly colourless, or variegated, marble-like, masses, and sometimes in perfectly colourless crystals, _selenite_, of specific gravity · . the semi-transparent gypsum, or _alabaster_, is often carved into small statues. besides which an anhydrous calcium sulphate, caso_{ }, called _anhydrite_ (specific gravity · ), occurs in nature. it sometimes occurs along with gypsum. it is no longer capable of combining directly with water, and differs in this respect from the anhydrous salt obtained by gently igniting gypsum. if gypsum be very strongly heated it shrinks and loses its power of combining with water.[ bis] one part of calcium sulphate requires at ° parts of water for solution, at ° parts, and at ° parts of water. the maximum solubility of gypsum is at about °, which is nearly the same temperature as that at which sodium sulphate is most soluble.[ ] [ ] according to le chatelier ( ), - / h_{ }o is lost at °--that is, h_{ }o, caso_{ } is formed, but at ° all the water is expelled. according to shenstone and cundall ( ) gypsum begins to lose water at ° in dry air. the semi-hydrated compound h_{ }o, caso_{ } is also formed when gypsum is heated with water in a closed vessel at ° (hoppe-seyler). [ ] for stucco-work it is usual to add lime and sand, as the mass is then harder and does not solidify so quickly. for imitating marble, glue is added to the plaster, and the mass is polished when thoroughly dry. re-burnt gypsum cannot be used over again, as that which has once solidified is, like the natural anhydride, not able to recombine with water. it is evident that the structure of the molecules in the crystallised mass, or in general in any dense mass, exerts an influence on the chemical action, which is more particularly evident in metals in their different forms (powder, crystalline, rolled, &c.) [ bis] according to maccoleb, gypsum dehydrated at ° has a specific gravity · , and heated to its point of fusion, · . potilitzin ( ) also admits the two above-named modifications of anhydrous gypsum, which, moreover, always contain the semi-hydrated hydrate (note ), and he explains by their relation to water the phenomena observed in the solidification of a mixture of burnt gypsum and water. [ ] as marignac showed, gypsum, especially when desiccated at °, easily gives supersaturated solutions with respect to caso_{ }, h_{ }o, which contain as much as part of caso_{ } to parts of water. boiling dilute hydrochloric acid dissolves gypsum, forming calcium chloride. the behaviour of gypsum towards the alkaline carbonates has been described in chapter x. alcohol precipitates gypsum from its aqueous solutions, because, like the sulphates in general, it is sparingly soluble in alcohol. gypsum, like all the sulphates, when heated with charcoal, gives up its oxygen, forming the sulphide, cas. calcium ulphate, like magnesium sulphate, is capable of forming double salts, but with difficulty, and they are chemically less stable. they contain, as is always the case with double salts, less water of crystallisation than the component salts. rose, struvé, and others obtained the salt cak_{ }(so_{ })_{ },h_{ }o; a mixture of gypsum with an equivalent amount of potassium sulphate and water solidifies into a homogeneous mass. fritzsche obtained the corresponding sodium salt in a hydrated and anhydrous state, by heating a mixture of gypsum with a saturated solution of sodium sulphate. the anhydrous salt occurs in nature as _glauberite_. fritzsche also obtained _gaylussite_, na_{ }ca(co_{ })_{ }, h_{ }o, by pouring a saturated solution of sodium carbonate on to freshly-precipitated calcium carbonate. calcium also forms basic salts, but only a few. veeren ( ) obtained ca(no_{ })_{ }ca(oh)_{ }, - / h_{ }o by leaving powdered caustic lime in a saturated solution of ca(no_{ })_{ } until it solidified. this salt is decomposed by water. as lime is a more energetic base than magnesia, so _calcium chloride_, cacl_{ }, is not so easily decomposed by water, and its solutions only disengage a small quantity of hydrochloric acid when evaporated, and when the evaporation is conducted in a stream of hydrochloric acid it easily gives an anhydrous salt which fuses at °; otherwise an aqueous solution yields a crystallo-hydrate, cacl_{ }, h_{ }o, which melts at °.[ ] [ ] calcium chloride has a specific gravity · , or, when fused, · , and the sp. gr. of the crystallised salt cacl_{ }, h_{ }o is · . if the volume of the crystals at ° = , then at ° it is · , and the volume of the fused mass at the same temperature is · (kopp) (specific gravity of solutions, _see_ note ). the solution containing p.c. cacl_{ } boils at °, p.c. at °. superheated steam decomposes calcium chloride with more difficulty than magnesium chloride and with greater ease than barium chloride (kuhnheim). sodium does not decompose fused calcium chloride even on prolonged heating (liés-bodart), but an alloy of sodium with zinc, lead, and bismuth decomposes it, forming an alloy of calcium with one of the above-named metals (caron). the zinc alloy may be obtained with as much as p.c. of calcium. calcium chloride is soluble in alcohol and absorbs ammonia. a gram molecular weight of calcium chloride in dissolving in an excess of water evolves , calories, and in dissolving in alcohol , units of heat, according to pickering. roozeboom made detailed researches on the crystallo-hydrates of calcium chloride ( ), and found that cacl_{ }, h_{ }o melts at · °, and is formed at low temperatures from solutions containing not more than parts of calcium chloride per parts of water; if the amount of salt (always to parts of water) reaches parts, then tabular crystals of cacl_{ }, h_{ }o[greek: b] are formed, which at temperatures above · ° are converted into the crystallo-hydrates cacl_{ }, h_{ }o, whilst at temperatures below ° the [greek: b] variety passes into the more stable cacl_{ }, h_{ }o[greek: a], which process is aided by mechanical friction. hence, as is the case with magnesium sulphate (note ), one and the same crystallo-hydrate appears in two forms--the [greek: b], which is easily produced but is unstable, and the [greek: a], which is stable. the solubility of the above-mentioned hydrates of chloride of calcium, or amount of calcium chloride per parts of water, is as follows:-- ° ° ° ° ° cacl_{ }, h_{ }o ( · ) cacl_{ }, h_{ }o[greek: a] -- } ( · ) cacl_{ }, h_{ }o[greek: b] -- --} cacl_{ }, h_{ }o -- -- ( · ) the amount of calcium chloride to parts of water in the crystallo-hydrate is given in brackets. the point of intersection of the curves of solubility lies at about ° for the first two salts and about ° for the salts with h_{ }o and h_{ }o. the crystals cacl_{ }, h_{ }o may, however, be obtained (ditte) at the ordinary temperature from solutions containing hydrochloric acid. the vapour tension of this crystallo-hydrate equals the atmospheric at °, and therefore the crystals may be dried in an atmosphere of steam and obtained without a mother liquor, whose vapour tension is greater. this crystallo-hydrate decomposes at about ° into cacl_{ },h_{ }o and a solution; this is easily brought about in a closed vessel when the pressure is greater than the atmosphere. this crystallo-hydrate is destroyed at temperatures above °, anhydrous calcium chloride being formed. neglecting the unstable modification cacl_{ }, h_{ }o[greek: b], we will give the temperatures _t_ at which the passage of one hydrate into another takes place and at which the solution cacl_{ } + _n_h_{ }o, the two solids a and b and aqueous vapour, whose tension is given as _p_ in millimetres, are able to exist together in stable equilibrium, according to roozeboom's determinations: _t_ _n_ a b _p_ - ° · ice cacl_{ }, h_{ }o + · ° · cacl_{ }, h_{ }o cacl_{ }, h_{ }o · · ° · cacl_{ }, h_{ }o cacl_{ }, h_{ }o · · ° · cacl_{ }, h_{ }o cacl_{ },h_{ }o ° · cacl_{ },h_{ }o cacl_{ } several atmospheres solutions of calcium chloride may serve as a convenient example for the study of the supersaturated state, which in this case easily occurs, because different hydrates are formed. thus at ° solutions containing more than parts of anhydrous calcium chloride per of water will be supersaturated for the hydrate cacl_{ }, h_{ }o. on the other hand, hammerl showed that solutions of calcium chloride, when frozen, deposit ice if they contain less than parts of salt per of water, and if more the crystallo-hydrate cacl_{ }, h_{ }o separates, and that a solution of the above composition (cacl_{ }, h_{ }o requires · parts calcium chloride per of water) solidifies as a cryohydrate at about - °. just as for potassium, k = (and sodium, na = ), there are the near analogues, rb = and cs = , and also another, li = , so in exactly the same manner for calcium, ca = (and magnesium, mg = ), there is another analogue of lighter atomic weight, beryllium, be = , besides the near analogues strontium, sr = , and barium, ba = . as rubidium and cæsium are more rarely met with in nature than potassium, so also strontium and barium are rarer than calcium (in the same way that bromine and iodine are rarer than chlorine). since they exhibit many points of resemblance with calcium, strontium and barium may be characterised after a very short acquaintance with their chief compounds; this shows the important advantages gained by distributing the elements according to their natural groups, to which matter we shall turn our attention in the next chapter. among the compounds of barium met with in nature the commonest is the _sulphate_, baso_{ }, which forms anhydrous crystals of the rhombic system, which are identical in their crystalline form with anhydrite, and generally occur as transparent and semi-transparent masses of tabular crystals having a high specific gravity, namely · , for which reason this salt bears the name of _heavy spar_ or _barytes_. analogous to it is _celestine_, srso_{ }, which is, however, more rarely met with. heavy spar frequently forms the gangue separated on dressing metallic ores from the vein stuff; this mineral is the source of all other barium compounds; for the carbonate, although more easily transformed into the other compounds (because acids act directly on it, evolving carbonic anhydride), is a comparatively rare mineral (baco_{ } forms the mineral _witherite_; srco_{ }, _strontianite_; both are rare, the latter is found at etna). the treatment of barium sulphate is rendered difficult from the fact that it is insoluble both in water and acids, and has therefore to be treated by a method of reduction.[ ] like sodium sulphate and calcium sulphate, heavy spar when heated with charcoal parts with its oxygen and forms barium sulphide, bas. for this purpose a pasty mixture of powdered heavy spar, charcoal, and tar is subjected to the action of a strong heat, when baso_{ } + c = bas + co. the residue is then treated with water, in which the barium sulphide is soluble.[ ] when boiled with hydrochloric acid, barium chloride, bacl_{ }, is obtained in solution, and the sulphur is disengaged as gaseous sulphuretted hydrogen, bas + hcl = bacl_{ } + h_{ }s. in this manner barium sulphate is converted into barium chloride,[ ] and the latter by double decomposition with strong nitric acid or nitre gives the less soluble barium nitrate, ba(no_{ })_{ },[ ] or with sodium carbonate a precipitate of barium carbonate, baco_{ }. both these salts are able to give _barium oxide_, or _baryta_, bao, and the hydroxide, ba(ho)_{ }, which differs from lime by its great solubility in water,[ ] and by the ease with which it forms a crystallo-hydrate, bah_{ }o_{ }, h_{ }o, from its solutions. owing to its solubility, baryta is frequently employed in manufactures and in practical chemistry as an alkali which has the very important property that it may be always entirely removed from solution by the addition of sulphuric acid, which entirely separates it as the insoluble barium sulphate, baso_{ }. it may also be removed whilst it remains in an alkaline state (for example, the excess which may remain when it is used for saturating acids) by means of carbonic anhydride, which also completely precipitates baryta as a sparingly soluble, colourless, and powdery carbonate. both these reactions show that baryta has such properties as would very greatly extend its use were its compounds as widely distributed as those of sodium and calcium, and were its soluble compounds not poisonous. barium nitrate is directly decomposed by the action of heat, barium oxide being left behind. the same takes place with barium carbonate, especially that form of it precipitated from solutions, and when mixed with charcoal or ignited in an atmosphere of steam. barium oxide combines with water with the development of a large amount of heat, and the resultant hydroxide is very stable in its retention of the water, although it parts with it when strongly ignited.[ bis] with oxygen the anhydrous oxide gives, as already mentioned in chapters iii. and iv., a _peroxide_, bao_{ }.[ ] neither calcium nor strontium oxides are able to give such a peroxide directly, but they form peroxides under the action of hydrogen peroxide. [ ] the action of barium sulphate on sodium and potassium carbonates is given on p. . [ ] barium sulphide is decomposed by water, bas + h_{ }o = h_{ }s + ba(oh)_{ } (the reaction is reversible), but both substances are soluble in water, and their separation is complicated by the fact that barium sulphide absorbs oxygen and gives insoluble barium sulphate. the hydrogen sulphide is sometimes removed from the solution by boiling with the oxides of copper or zinc. if sugar be added to a solution of barium sulphide, barium saccharate is precipitated on heating; it is decomposed by carbonic anhydride, so that barium carbonate is formed. an equivalent mixture of sodium sulphate with barium or strontium sulphates when ignited with charcoal gives a mixture of sodium sulphide and barium or strontium sulphide, and if this mixture be dissolved in water and the solution evaporated, barium or strontium hydroxide crystallises out on cooling, and sodium hydrosulphide, nahs, is obtained in solution. the hydroxides bah_{ }o_{ } and srh_{ }o_{ } are prepared on a large scale, being applied to many reactions; for example, strontium hydroxide is prepared for sugar works for extracting crystallisable sugar from molasses. we may remark that boussingault, by igniting barium sulphate in hydrochloric acid gas, obtained a complete decomposition, with the formation of barium chloride. attention should also be turned to the fact that grouven, by beating a mixture of charcoal and strontium sulphate with magnesium and potassium sulphates, showed the easy decomposability depending on the formation of double salts, such as srs,k_{ }s, which are easily soluble in water, and give a precipitate of strontium carbonate with carbonic anhydride. in such examples as these we see that the force which binds double salts may play a part in directing the course of reactions, and the number of double salts of silica on the earth's surface shows that nature takes advantage of these forces in her chemical processes. it is worthy of remark that buchner ( ), by mixing a per cent. solution of barium acetate with a per cent. solution of sulphate of alumina, obtained a thick glutinous mass, which only gave a precipitate of baso_{ } after being diluted with water. [ ] barium sulphate is sometimes converted into barium chloride in the following manner: finely-ground barium sulphate is heated with coal and manganese chloride (the residue from the manufacture of chlorine). the mass becomes semi-liquid, and when it evolves carbonic oxide the heating is stopped. the following double decompositions proceed during this operation: first the carbon takes up the oxygen from the barium sulphate, and gives sulphide, bas, which enters into double decomposition with the chloride of manganese, mncl_{ }, forming manganese sulphide, mns, which is insoluble in water, and soluble barium chloride. this solution is easily obtained pure because many foreign impurities, such as iron, remain in the insoluble portion with the manganese. the solution of barium chloride is chiefly used for the preparation of barium sulphate, which is precipitated by sulphuric acid, by which means _barium sulphate_ is re-formed as a powder. this salt is characterised by the fact that it is unacted on by the majority of chemical reagents, is insoluble in water, and is not dissolved by acids. owing to this, artificial barium sulphate forms a permanent white paint which is used instead of (and mixed with) white lead, and has been termed 'blanc fixé' or 'permanent white.' the solution of one part of calcium chloride at ° requires · part of water, the solution of one part of strontium chloride requires · part of water at the same temperature, and the solution of barium chloride · parts of water. the solubility of the bromides and iodides varies in the same proportion. the chlorides of barium and strontium crystallise out from solution with great ease in combination with water; they form bacl_{ }, h_{ }o and srcl_{ }, h_{ }o. the latter (which separates out at °) resembles the salts of ca and mg in composition, and Étard ( ) obtained srcl_{ }, h_{ }o from solutions at - °. we may also observe that the crystallo-hydrates babr_{ },h_{ }o and bai_{ }, h_{ }o are known. [ ] the nitrates sr(no_{ })_{ } (in the cold its solutions give a crystallo-hydrate containing h_{ }o) and ba(no_{ })_{ } are so very sparingly soluble in water that they separate in considerable quantities when a solution of sodium nitrate is added to a strong solution of either barium or strontium chloride. they are obtained by the action of nitric acid on the carbonates or oxides. parts of water at ° dissolve · parts of strontium nitrate and · parts of barium nitrate, whilst more than parts of calcium nitrate are soluble at the same temperature. strontium nitrate communicates a crimson coloration to the flame of burning substances, and is therefore frequently used for bengal fire, fireworks, and signal lights, for which purpose the salts of lithium are still better fitted. calcium nitrate is exceedingly hygroscopic. barium nitrate, on the contrary, does not show this property in the least degree, and in this respect it resembles potassium nitrate, and is therefore used instead of the latter for the preparation of a gunpowder which is called 'saxifragin powder' ( parts of barium nitrate, parts of nitre, and parts of charcoal). [ ] the dissociation of the crystallo-hydrate of baryta is given in chapter i., note . parts of water dissolve ° ° ° ° ° bao · · · · · sro · · · supersaturated solutions are easily formed. the anhydrous oxide bao fuses in the oxyhydrogen flame. when ignited in the vapour of potassium, the latter takes up the oxygen; whilst in chlorine, oxygen is separated and barium chloride formed. [ bis] brugellmann, by heating bah_{ }o_{ } in a graphite or clay crucible, obtained bao in needles, sp. gr. · , and by heating in a platinum crucible--in crystals belonging to the cubical system, sp. gr. · . sro is obtained in the latter form from the nitrate. the following are the specific gravities of the oxides from different sources:-- mgo cao sro from rn_{ }o_{ } · · · " rco_{ } · · · " rh_{ }o_{ } · · · [ ] the property of barium oxide of absorbing oxygen when heated, and giving the peroxide, bao_{ }, is very characteristic for this oxide (_see_ chapter iii., note ). it only belongs to the anhydrous oxide. the hydroxide does not absorb oxygen. peroxides of calcium and strontium may be obtained by means of hydrogen peroxide. barium peroxide is insoluble in water, but is able to form a hydrate with it, and also to combine with hydrogen peroxide, forming a very unstable compound having the composition bah_{ }o_{ } (obtained by professor schöne), which in course of time evolves oxygen (chapter iv., note ). barium oxide is decomposed when heated with potassium; fused barium chloride is decomposed, as davy showed, by the action of a galvanic current, forming metallic _barium_; and crookes ( ) obtained an amalgam of barium from which the mercury could easily be driven off, by heating sodium amalgam in a saturated solution of barium chloride. strontium is obtained by the same processes. both metals are soluble in mercury, and seem to be non-volatile or only very slightly volatile. they are both heavier than water; the specific gravity of barium is · , and of strontium · . they both decompose water at the ordinary temperature, like the metals of the alkalis. barium and strontium as saline elements are characterised by their powerful basic properties, so that they form acid salts with difficulty, and scarcely form basic salts. on comparing them together and with calcium, it is evident that the alkaline properties in this group (as in the group potassium, rubidium, cæsium) increase with the atomic weight, and this succession clearly shows itself in many of their corresponding compounds. thus, for instance, the solubility of the hydroxides rh_{ }o_{ } and the specific gravity[ ] rise in passing from calcium to strontium and barium, while the solubility of the sulphates decreases,[ ] and therefore in the case of magnesium and beryllium, as metals whose atomic weights are still less, we should expect the solubility of the sulphates to be greater, and this is in reality the case. [ ] even in solutions a gradual progression in the increase of the specific gravity shows itself, not only for equivalent solutions (for instance, rcl_{ } + h_{ }o), but even with an equal percentage composition, as is seen from the curves giving the specific gravity (water ° = , ) at ° (for barium chloride, according to bourdiakoff's determinations): becl_{ } : s = , + · _p_ + · _p_^ cacl_{ } : s = , + · _p_ + · _p_^ srcl_{ } : s = , + · _p_ + · _p_^ bacl_{ } : s = , + · _p_ + · _p_^ [ ] one part of calcium sulphate at the ordinary temperature requires about parts of water for solution, strontium sulphate about , parts, barium sulphate about , parts, whilst beryllium sulphate is easily soluble in water. just as in the series of the alkali metals we saw the metals potassium, rubidium, and cæsium approaching near to each other in their properties, and allied to them two metals having smaller combining weights--namely, sodium, and the lightest of all, lithium, which all exhibited certain peculiar characteristic properties--so also in the case of the metals of the alkaline earths we find, besides calcium, barium, and strontium, the metal magnesium and also _beryllium_ or _glucinum_. in respect to the magnitude of its atomic weight, this last occupies the same position in the series of the metals of the alkaline earths as lithium does in the series of the alkali metals, for the combining weight of beryllium, be or gl = . this combining weight is greater than that of lithium ( ), as the combining weight of magnesium ( ) is greater than that of sodium ( ), and as that of calcium ( ) is greater than that of potassium ( ), &c.[ ] beryllium was so named because it occurs in the mineral _beryl_. the metal is also called glucinum (from the greek word [greek: glykys], 'sweet'), because its salts have a sweet taste. it occurs in beryl, aquamarine, the emerald, and other minerals, which are generally of a green colour; they are sometimes found in considerable masses, but as a rule are comparatively rare and, as transparent crystals, form precious stones. the composition of beryl and of the emerald is as follows: al_{ }o_{ }, beo, sio_{ }. the siberian and brazilian beryls are the best known. the specific gravity of beryl is about · . beryllium oxide, from the feebleness of its basic properties, presents an analogy to aluminium oxide in the same way that lithium oxide is analogous to magnesium oxide.[ ] owing to its rare occurrence in nature, to the absence of any especially distinct individual properties, and to the possibility of foretelling them to a certain extent on the basis of the periodic system of the elements given in the following chapter, and owing to the brevity of this treatise, we will not discuss at any length the compounds of beryllium, and will only observe that their individuality was pointed out in by vauquelin, and that metallic beryllium was obtained by wöhler and bussy. wöhler obtained _metallic beryllium_ (like magnesium) by acting on beryllium chloride, becl_{ }, with potassium (it is best prepared by fusing k_{ }bef_{ } with na). metallic beryllium has a specific gravity · (nilson and pettersson). it is very infusible, melting at nearly the same temperature as silver, which it resembles in its white colour and lustre. it is characterised by the fact that it is very difficultly oxidised, and even in the oxidising flame of the blowpipe is only superficially covered by a coating of oxide; it does not burn in pure oxygen, and does not decompose water at the ordinary temperature or at a red heat, but gaseous hydrochloric acid is decomposed by it when slightly heated, with evolution of hydrogen and development of a considerable amount of heat. even dilute hydrochloric acid acts in the same manner at the ordinary temperature. beryllium also acts easily on sulphuric acid, but it is remarkable that neither dilute nor strong nitric acid acts on beryllium, which seems especially able to resist oxidising agents. potassium hydroxide acts on beryllium as on aluminium, hydrogen being disengaged and the metal dissolved, but ammonia has no action on it. these properties of metallic beryllium seem to isolate it from the series of the other metals described in this chapter, but if we compare the properties of calcium, magnesium, and beryllium we shall see that magnesium occupies a position intermediate between the other two. whilst calcium decomposes water with great ease, magnesium does so with difficulty, and beryllium not at all. the peculiarities of beryllium among the metals of the alkaline earths recall the fact that in the series of the halogens we saw that fluorine differed from the other halogens in many of its properties and had the smallest atomic weight. the same is the case with regard to beryllium among the other metals of the alkaline earths. [ ] we refer beryllium to the class of the bivalent metals of the alkaline earths--that is, we ascribe to its oxide the formula beo, and do not consider it as trivalent (be = · , chapter vii., note ), although that view has been upheld by many chemists. the true atomic composition of beryllium oxide was first given by the russian chemist, avdéeff ( ), in his researches on the compounds of this metal. he compared the compounds of beryllium to those of magnesium, and refuted the notion prevalent at the time, of the resemblance between the oxides of beryllium and aluminium, by proving that beryllium sulphate presents a greater resemblance to magnesium sulphate than to aluminium sulphate. it was especially noticed that the analogues of alumina give alums, whilst beryllium oxide, although it is a feeble base, easily giving, like magnesia, basic and double salts, does not form true alums. the establishment of the periodic system of the elements ( ), considered in the following chapter, immediately indicated that avdéeff's view corresponded with the truth--that is, that beryllium is bivalent, which therefore necessitated the denial of its trivalency. this scientific controversy resulted in a long series of researches ( - ) concerning this element, and ended in nilson and pettersson--two of the chief advocates of the trivalency of beryllium--determining the vapour density of becl_{ } = , (chapter vii., note ), which gave an undoubted proof of its bivalency (_see_ also note ). [ ] beryllium oxide, like aluminium oxide, is precipitated from solutions of its salts by alkalis as a gelatinous hydroxide, beh_{ }o_{ }, which, like alumina, is soluble in an excess of caustic potash or soda. this reaction may be taken advantage of for distinguishing and separating beryllium from aluminium, because when the alkaline solution is diluted with water and boiled, beryllium hydroxide is precipitated, whilst the alumina remains in solution. the solubility of the beryllium oxide at once clearly indicates its feeble basic properties, and, as it were, separates this oxide from the class of the alkaline earths. but on arranging the oxides of the above-described metals of the alkaline earths according to their decreasing atomic weights we have the series bao, sro, cao, mgo, beo, in which the basic properties and solubility of the oxides consecutively and distinctly decrease until we reach a point when, had we not known of the existence of the beryllium oxide, we should expect to find in its place an oxide insoluble in water and of feeble basic properties. if an alcoholic solution of caustic potash be saturated with the hydrate of beo, and evaporated under the receiver of an air pump, it forms silky crystals bek_{ }o_{ }. another characteristic of the salts of beryllium is that they give with aqueous ammonia a gelatinous precipitate which is soluble in an excess of ammonium carbonate like the precipitate of magnesia; in this beryllium oxide differs from the oxide of aluminium. beryllium oxide easily forms a carbonate which is insoluble in water, and resembles magnesium carbonate in many respects. beryllium sulphate is distinguished by its considerable solubility in water--thus, at the ordinary temperature it dissolves in an equal weight of water; it crystallises out from its solutions in well-formed crystals, which do not change in the air, and contain beso_{ }, h_{ }o. when ignited it leaves beryllium oxide, but this oxide, after prolonged ignition, is re-dissolved by sulphuric acid, whilst aluminium sulphate, after a similar treatment, leaves aluminium oxide, which is no longer soluble in acids. with a few exceptions, the salts of beryllium crystallise with great difficulty, and to a considerable extent resemble the salts of magnesium; thus, for instance, beryllium chloride is analogous to magnesium chloride. it is volatile in an anhydrous state, and in a hydrated state it decomposes, with the evolution of hydrochloric acid. in addition to the above characteristics of the compounds of the metals of the alkaline earths, we must add that they, like the alkali metals, combine with nitrogen and hydrogen, and while sodium nitride (obtained by igniting the amide of sodium, chapter xii., note bis) and lithium nitride (obtained by heating lithium in nitrogen, chapter xiii., note ) have the composition r_{ }n, so the nitrides of magnesium (note ), calcium, strontium, and barium have the composition r_{ }n_{ }, for example, ba_{ }n_{ }, as might be expected from the diatomicity of the metals of the alkaline earths and from the relation of the nitrides to ammonia, which is obtained from all of these compounds by the action of water. the _nitrides_ of ca, sr, and ba are formed directly (maquenne, ) by heating the metals in nitrogen. they all have the appearance of an amorphous powder of dark colour; as regards their reactions, it is known that besides disengaging ammonia with water, they form cyanides when heated with carbonic oxide; for instance, ba_{ }n_{ } + co = ba(cn)_{ } + bao.[ ] [ ] thus in the nitrides of the metals we have substances by means of which we can easily obtain from the nitrogen of the air, not only ammonia, but also with the aid of co, by synthesis, a whole series of complex carbon and nitrogen compounds. the metals of the alkaline earths, just like na and k, absorb hydrogen under certain conditions, and form pulverulent easily oxidisable metallic hydrides, whose composition corresponds exactly to that of na_{ }h and k_{ }h, with the substitution of k_{ } and na_{ } by the atoms be, mg, ca, sr, and ba. the _hydrides of the metals of the alkaline earths_ were discovered by c. winkler ( ) in investigating the reducibility of these metals by magnesium. in reducing their oxides by heating them with magnesium powder in a stream of hydrogen, winkler observed that the hydrogen was absorbed (but very slowly), _i.e._ at the moment of their separation all the metals of the alkaline earths combine with hydrogen. this absorptive power increases in passing from be to mg, ca, sr, and ba, and the resultant hydrides retain the combined hydrogen[ ] when heated, so that these hydrides are distinguished for their considerable stability under heat, but they oxidise very easily.[ ] [ ] as the hydrides of calcium, magnesium, &c. are very stable under the action of heat, and these metals and hydrogen occur in the sun, it is likely that the formation of their hydrides may take place there. (private communication from prof. winkler, .) it is probable that in the free metals of the alkaline earths hitherto obtained a portion was frequently in combination with nitrogen and hydrogen. [ ] thus, for instance, a mixture of parts of cao and parts of magnesium powder is heated in an iron pipe (placed over a row of gas burners as in the combustion furnace used for organic analysis) in a stream of hydrogen. after being heated for / hour the mixture is found to absorb hydrogen (it no longer passes over the mixture, but is retained by it). the product, which is light grey, and slightly coherent, disengages a mass of hydrogen when water is poured over it, and burns when heated in air. the resultant mass contains per cent. cah, about per cent. cao, and about per cent. mgo. neither cah nor any other mh has yet been obtained in a pure state. the acetylene derivatives of the metals of the alkaline earths c_{ }m (chapter viii., note bis), for instance, c_{ }ba, obtained by maquenne and moissan, belong to the same class of analogous compounds. it must here be remarked that the oxides mo of the metals of the alkaline earths, although not reducible by carbon at a furnace heat, yet under the action of the heat attained in electrical furnaces, not only give up their oxygen to carbon (probably partly owing to the action of the current), but also combine with carbon. the resultant compounds, c_{ }m, evolve acetylene, c_{ }h_{ }, with hcl, just as n_{ }m_{ } give ammonia. we may remark moreover that the series of compounds of the metals of the alkaline earths with hydrogen, nitrogen and carbon is a discovery of recent years, and that probably further research will give rise to similar unexpected compounds, and by extending our knowledge of their reactions prove to be of great interest. thus the analogies and correlation of the metals of these two groups are now clearly marked, not only in their behaviour towards oxygen, chlorine, acids, &c., but also in their capability of combining with nitrogen and hydrogen. * * * * * end of the first volume printed by spottiswoode and co., new-street square london * * * * * a classified catalogue of scientific works published by messrs. longmans, green, & co. london: paternoster row, e.c. new york: & fifth avenue. bombay: hornby road. contents. page _advanced science manuals_ agriculture astronomy bacteriology biology botany building construction chemistry dynamics electricity _elementary science manuals_ engineering geology health and hygiene heat hydrostatics light _london science class-books_ _longmans' civil engineering series_ machine drawing and design magnetism manufactures mechanics medicine and surgery metallurgy mineralogy natural history navigation optics photography physics physiography physiology _practical elementary science series_ _proctor's (r. a.) works_ sound statics steam, oil, and gas engines strength of materials technology telegraphy telephone _text-books of science_ thermodynamics _tyndall's (john) works_ veterinary medicine, etc. workshop appliances zoology chemistry. _cornish._--practical proofs of chemical laws: a course of experiments upon the combining proportions of the chemical elements. by vaughan cornish, m.sc., associate of the owens college, manchester. crown vo., _s._ _crookes._--select methods in chemical analysis, chiefly inorganic. by sir william crookes, f.r.s., etc. third edition, rewritten and enlarged. with woodcuts. vo., _s._ net. _furneaux._--elementary chemistry, inorganic and organic. by w. furneaux, f.r.c.s., lecturer on chemistry, london school board. with illustrations and experiments. crown vo., _s._ _d._ _garrett and harden._--an elementary course of practical organic chemistry. by f. c. garrett, m.sc. 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(vict.), ph.d., assistant lecturer and demonstrator in chemistry, the owens college, manchester. _hjelt._--principles of general organic chemistry. by professor e. hjelt, of helsingfors. translated from the german by j. bishop tingle, ph.d., assistant in the laboratory of the heriot watt college, edinburgh. crown vo., _s._ _d._ _jago._--works by w. jago, f.c.s., f.i.c. inorganic chemistry, theoretical and practical. with an introduction to the principles of chemical analysis, inorganic and organic. with woodcuts and numerous questions and exercises. fcp. vo., _s._ _d._ an introduction to practical inorganic chemistry. crown vo., _s._ _d._ inorganic chemistry, theoretical and practical. a manual for students in advanced classes of the science and art department. with plate of spectra and woodcuts. crown vo., _s._ _d._ _kolbe._--a short text-book of inorganic chemistry. by dr. hermann kolbe. translated and edited by t. s. humpidge, ph.d. with illustrations. crown vo., _s._ _d._ _mendelÉeff._--the principles of chemistry. by d. mendelÉeff. translated from the russian (sixth edition) by george kamensky, a.r.s.m., of the imperial mint, st. petersburg; and edited by t. a. lawson, b.sc., ph.d., fellow of the institute of chemistry. with diagrams and illustrations. vols. vo., _s._ _meyer._--outlines of theoretical chemistry. by lothar meyer, professor of chemistry in the university of tübingen. translated by professors p. phillips bedson, d.sc., and w. carleton williams, b.sc. vo., _s._ _miller._--introduction to the study of inorganic chemistry. by w. allen miller, m.d., ll.d. with woodcuts. fcp. vo., _s._ _d._ _muir._--works by m. m. p. muir, m.a., fellow and prælector in chemistry of gonville and caius college, cambridge. a course of practical chemistry. 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(vict.), ph.d., f.r.s., professor of chemistry in the royal college of science, south kensington. assisted by eminent contributors. a dictionary of applied chemistry. vols. vo. vols. i. and ii., _s._ each. vol. iii., _s._ quantitative chemical analysis. with woodcuts. fcp. vo., _s._ _d._ _thorpe and muir._--qualitative chemical analysis and laboratory practice. by t. e. thorpe, ph.d., d.sc., f.r.s., and m. m. pattison muir, m.a. with plate of spectra and woodcuts. fcp. vo., _s._ _d._ _tilden._--works by william a. tilden, d.sc. london, f.r.s., professor of chemistry in the royal college of science, south kensington. introduction to the study of chemical philosophy. the principles of theoretical and systematic chemistry. with woodcuts. with or without the answers of problems. fcp. vo., _s._ _d._ practical chemistry. the principles of qualitative analysis. fcp. vo., _s._ _d._ hints on the teaching of elementary chemistry in schools and science classes. with illustrations. crown vo., _s._ _watts'_ (_h._) dictionary of chemistry. revised and entirely re-written by h. forster morley, m.a., d.sc., fellow of, and lately assistant-professor of chemistry in, university college, london; and m. m. pattison muir, m.a., f.r.s.e., fellow, and prælector in chemistry, of gonville and caius college, cambridge. assisted by eminent contributors. vols. vo. vols. i. and ii., _s._ each. vol. iii., _s._ vol. iv., _s._ _whiteley._--works by r. lloyd whiteley, f.i.c., principal of the municipal science school, west bromwich. chemical calculations. with explanatory notes, problems and answers, specially adapted for use in colleges and science schools. with a preface by professor f. clowes, d.sc. (lond.), f.i.c. crown vo., _s._ organic chemistry: the fatty compounds. with illustrations. crown vo., _s._ _d._ physics, etc. _earl._--the elements of laboratory work: a course of natural science. by a. g. earl, m.a., f.c.s., late scholar of christ's college, cambridge. with diagrams and numerous exercises and questions. crown vo., _s._ _d._ _ganot._--works by professor ganot. translated and edited by e. atkinson, ph.d., f.c.s. elementary treatise on physics, experimental and applied. with coloured plates and maps, and woodcuts, and appendix of problems and examples with answers. crown vo., _s._ natural philosophy for general readers and young persons; with plates, woodcuts, and an appendix of questions. crown vo., _s._ _d._ _glazebrook and shaw._--practical physics. by r. t. glazebrook, m.a., f.r.s., and w. n. shaw, m.a. with woodcuts. fcp. vo., _s._ _d._ _guthrie._--molecular physics and sound. by f. guthrie, ph.d. with diagrams. fcp. vo., _s._ _d._ _henderson._--elementary physics. by john henderson, b.sc. (edin.), a.i.e.e., lecturer in physics, manchester municipal technical school. crown vo., _s._ _d._ _helmholtz._--popular lectures on scientific subjects. by hermann von helmholtz. translated by e. atkinson, ph.d., f.c.s., formerly professor of experimental science, staff college. with illustrations. vols., crown vo., _s._ _d._ each. contents.--vol. i.--the relation of natural science to science in general--goethe's scientific researches--the physiological causes of harmony in music--ice and glaciers--the interaction of the natural forces--the recent progress of the theory of vision--the conservation of force--the aim and progress of physical science. contents.--vol. ii.--gustav magnus. in memoriam--the origin and significance of geometrical axioms--the relation of optics to painting--the origin of the planetary system--thought in medicine--academic freedom in german universities--hermann von helmholtz--an autobiographical sketch. _van t'hoff._--the arrangement of atoms in space. by j. h. van t'hoff. second, revised, and enlarged edition. with a preface by johannes wislicenus, professor of chemistry at the university of leipzig; and an appendix 'stereo-chemistry among inorganic substances,' by alfred werner, professor of chemistry at the university of zürich. translated and edited by arnold eiloart. _watson._--elementary practical physics: a laboratory manual for use in organised science schools. by w. watson, b.sc. demonstrator in physics in the royal college of science, london; assistant examiner in physics, science and art department. with illustrations and exercises. crown vo., _s._ _d._ _worthington._--a first course of physical laboratory practice. containing experiments. by a. m. worthington, m.a., f.r.s. with illustrations. crown vo., _s._ _d._ _wright._--elementary physics. by mark r. wright, professor of normal education, durham college of science. with illustrations. crown vo., _s._ _d._ mechanics, dynamics, statics, hydrostatics, etc. _ball._--a class-book of mechanics. by sir r. s. ball, ll.d. diagrams. fcp. vo., _s._ _d._ _geldard._--statics and dynamics. by c. geldard, m.a., formerly scholar of trinity college, cambridge. crown vo., _s._ _goodeve._--works by t. m. goodeve, m.a., formerly professor of mechanics at the normal school of science, and the royal school of mines. the elements of mechanism. with woodcuts. crown vo., _s._ principles of mechanics. with woodcuts and numerous examples. crown vo., _s._ a manual of mechanics: an elementary text-book for students of applied mechanics. with illustrations and diagrams, and examples taken from the science department examination papers, with answers. fcp. vo., _s._ _d._ _grieve._--lessons in elementary mechanics. by w. h. grieve, late engineer, r.n., science demonstrator for the london school board, etc. stage . with illustrations and a large number of examples. fcp. vo., _s._ _d._ stage . with illustrations. fcp. vo., _s._ _d._ stage . with illustrations. fcp. vo., _s._ _d._ _magnus._--works by sir philip magnus, b.sc., b.a. lessons in elementary mechanics. introductory to the study of physical science. designed for the use of schools, and of candidates for the london matriculation and other examinations. with numerous exercises, examples, examination questions, and solutions, etc., from - . with answers, and woodcuts. fcp. vo., _s._ _d._ key for the use of teachers only, price _s._ - / _d._ hydrostatics and pneumatics. fcp. vo., _s._ _d._; or, with answers, _s._ the worked solutions of the problems, _s._ _robinson._--elements of dynamics (kinetics and statics). with numerous exercises. a text-book for junior students. by the rev. j. l. robinson, b.a. crown vo., _s._ _smith._--works by j. hamblin smith, m.a. elementary statics. crown vo., _s._ elementary hydrostatics. crown vo., _s._ key to statics and hydrostatics. crown vo., _s._ _tate._--exercises on mechanics and natural philosophy. by thomas tate, f.r.a.s. fcp. vo., _s._ key, _s._ _d._ _taylor._--works by j. e. taylor, m.a., b.sc. (lond.), head master of the central higher grade and science school, sheffield. theoretical mechanics, including hydrostatics and pneumatics. with diagrams and illustrations, and examination questions and answers. crown vo., _s._ _d._ theoretical mechanics--solids. with illustrations, worked examples and over examples from examination papers, etc. crown vo., _s._ _d._ theoretical mechanics.--fluids. with illustrations, numerous worked examples, and about examples from examination papers, etc. crown vo., _s._ _d._ _thornton._--theoretical mechanics--solids. including kinematics, statics, and kinetics. by arthur thornton, m.a., f.r.a.s. with illustrations, worked examples, and over examples from examination papers, etc. crown vo., _s._ _d._ _twisden._--works by the rev. john f. twisden, m.a. practical mechanics; an elementary introduction to their study. with exercises, and figures and diagrams. crown vo., _s._ _d._ theoretical mechanics. with examples, numerous exercises, and diagrams. crown vo., _s._ _d._ _williamson._--introduction to the mathematical theory of the stress and strain of elastic solids. by benjamin williamson, d.sc., f.r.s. crown vo., _s._ _williamson and tarleton._--an elementary treatise on dynamics. containing applications to thermodynamics, with numerous examples. by benjamin williamson, d.sc., f.r.s., and francis a. tarleton, ll.d. crown vo., _s._ _d._ _worthington._--dynamics of rotation: an elementary introduction to rigid dynamics. by a. m. worthington, m.a., f.r.s. crown vo., _s._ _d._ optics and photography. _abney._--a treatise on photography. by captain w. de wiveleslie abney, f.r.s., director for science in the science and art department. with woodcuts. fcp. vo., _s._ _d._ _glazebrook._--physical optics. by r. t. glazebrook, m.a., f.r.s., fellow and lecturer of trinity college, demonstrator of physics at the cavendish laboratory, cambridge. with woodcuts of apparatus, etc. fcp. vo., _s._ _wright._--optical projection: a treatise on the use of the lantern in exhibition and scientific demonstration. by lewis wright, author of 'light: a course of experimental optics'. with illustrations. crown vo., _s._ sound, light, heat, and thermodynamics. _cumming._--heat treated experimentally. by linnÆus cumming, m.a. with illustrations. crown vo., _s._ _d._ _day._--numerical examples in heat. by r. e. day, m.a. fcp. vo., _s._ _d._ _emtage._--light. by w. t. a. emtage, m.a. with illustrations. crown vo., _s._ _helmholtz._--on the sensations of tone as a physiological basis for the theory of music. by hermann von helmholtz. royal vo., _s._ _madan._--an elementary text-book on heat. for the use of schools. by h. g. madan, m.a., f.c.s., fellow of queen's college, oxford; late assistant master at eton college. crown vo., _s._ _maxwell._--theory of heat. by j. clerk maxwell, m.a., f.r.ss., l. and e. with corrections and additions by lord rayleigh. with illustrations. fcp. vo., _s._ _d._ _smith._--the study of heat. by j. hamblin smith, m.a., of gonville and caius college, cambridge. crown vo., _s._ _tyndall._--works by john tyndall, d.c.l., f.r.s. see p. . _wormell._--a class-book of thermodynamics. by richard wormell, b.sc., m.a. fcp. vo., _s._ _d._ _wright._--works by mark r. wright, hon. inter. b.sc., london. sound, light, and heat. with diagrams and illustrations. crown vo., _s._ _d._ advanced heat. with diagrams and numerous examples and examination papers. crown vo., _s._ _d._ steam, oil, and gas engines. _bale._--a handbook for steam users; being rules for engine drivers and boiler attendants, with notes on steam engine and boiler management and steam boiler explosions. by m. powis bale, m.i.m.e., a.m.i.c.e. fcp. vo., _s._ _d._ _bolton._--motive powers and their practical selection. by reginald bolton, associate member of the institution of civil engineers, etc. crown vo., _s._ _d._ net. _clerk._--the gas and oil engine. by dugald clerk, associate member of the institution of civil engineers, fellow of the chemical society, member of the royal institution, fellow of the institute of patent agents. vo., _s._ _holmes._--the steam engine. by george c. v. holmes, whitworth scholar, secretary of the institution of naval architects. with woodcuts. fcp. vo., _s._ _norris._--a practical treatise on the 'otto' cycle gas engine. by william norris, m.i.mech.e. with illustrations. vo., _s._ _d._ _ripper._--works by william ripper, professor of mechanical engineering in the sheffield technical school. steam. with illustrations. crown vo, _s._ _d._ steam engineering. [in the press. _sennett._--the marine steam engine. a treatise for the use of engineering students and officers of the royal navy. by richard sennett, r.n., late engineer-in-chief of the royal navy. with illustrations. vo., _s._ _stromeyer._--marine boiler management and construction. being a treatise on boiler troubles and repairs, corrosion, fuels, and heat, on the properties of iron and steel, on boiler mechanics, workshop practices, and boiler design. by c. e. stromeyer, member of the institute of naval architects, etc. vo., _s._ net. building construction. advanced building construction. by the author of 'rivingtons' notes on building construction. with illustrations. crown vo., _s._ _d._ _burrell._--building construction. by edward j. burrell, second master of the people's palace technical school, london. with working drawings. crown vo., _s._ _d._ _seddon._--builder's work and the building trades. by col. h. c. seddon, r.e., superintending engineer, h.m.'s dockyard, portsmouth; examiner in building construction, science and art department, south kensington; with numerous illustrations. medium vo., _s._ rivingtons' course of building construction. notes on building construction. arranged to meet the requirements of the syllabus of the science and art department of the committee of council on education, south kensington. medium vo. part i. first stage, or elementary course. with woodcuts, _s._ _d._ part ii. commencement of second stage, or advanced course. with woodcuts, _s._ _d._ part iii. materials. advanced course, and course for honours. with woodcuts, _s._ part iv. calculations for building structures. course for honours. with woodcuts, _s._ electricity and magnetism. _cumming._--electricity treated experimentally. for the use of schools and students. by linnÆus cumming, m.a. with illustrations. crown vo., _s._ _d._ _day._--exercises in electrical and magnetic measurements, with answers. by r. e. day. mo., _s._ _d._ _du bois._--the magnetic circuit in theory and practice. by dr. h. du bois, privatdocent in the university of berlin. translated by e. atkinson, ph.d. with illustrations. vo., _s._ net. _ebert._--magnetic fields of force: an exposition of the phenomena of magnetism, electro-magnetism and induction, based on the conception of lines of force. by h. ebert, professor of physics in the university of kiel. translated by c. v. burton, d.sc. part i. with illustrations. vo., _s._ _d._ net. _gore._--the art of electro-metallurgy, including all known processes of electro-deposition. by g. gore, ll.d., f.r.s. with woodcuts. fcp. vo., _s._ _jenkin._--electricity and magnetism. by fleeming jenkin, f.r.s.s., l. and e., m.i.c.e. with illustrations. fcp. vo., _s._ _d._ _joubert._--elementary treatise on electricity and magnetism. founded on joubert's 'traité Élémentairé d'electricité'. by g. c. foster, f.r.s., and e. atkinson, ph.d. with illustrations. crown vo., _s._ _d._ _joyce._--examples in electrical engineering. by samuel joyce, a.i.e.e. crown vo., _s._ _larden._--electricity for public schools and colleges. by w. larden, m.a. with illustrations, and a series of examination papers, with answers. crown vo., _s._ _merrifield._--magnetism and deviation of the compass. for the use of students in navigation and science schools. by john merrifield, ll.d., f.r.a.s., mo., _s._ _d._ _poyser._--works by a. w. poyser, m.a., grammar school, wisbech. magnetism and electricity. with illustrations. crown vo., _s._ _d._ advanced electricity and magnetism. with illustrations. crown vo., _s._ _d._ _slingo and brooker._--works by w. slingo and a. brooker. electrical engineering for electric light artisans and students. with illustrations. crown vo., _s._ problems and solutions in elementary electricity and magnetism. embracing a complete set of answers to the south kensington papers for the years - , and a series of original questions. with original illustrations. crown vo., _s._ _tyndall._--works by john tyndall, d.c.l., f.r.s. see p. . telegraphy and the telephone. _bennett._--the telephone systems of continental europe. by a. r. bennett, member of the institute of electrical engineers; late general manager in scotland of the national telephone company, and general manager and electrician of the mutual and new telephone companies. with illustrations. crown vo., _s._ _culley._--a handbook of practical telegraphy. by r. s. culley, m.i.c.e., late engineer-in-chief of telegraphs to the post office. with woodcuts and plates. vo., _s._ _preece and sivewright._--telegraphy. by w. h. preece, c.b., f.r.s., v.p.inst., c.e., etc., engineer-in-chief and electrician post office telegraphs; and sir j. sivewright, k.c.m.g., general manager, south african telegraphs. with woodcuts. fcp. vo., _s._ engineering, strength of materials, etc. _anderson._--the strength of materials and structures: the strength of materials as depending on their quality and as ascertained by testing apparatus. by sir j. anderson, c.e., ll.d., f.r.s.e. with woodcuts. fcp. vo., _s._ _d._ _barry._--railway appliances: a description of details of railway construction subsequent to the completion of the earthworks and structures. by sir john wolfe barry, k.c.b., f.r.s., m.i.c.e. with woodcuts. fcp. vo., _s._ _d._ _smith._--graphics, or the art of calculation by drawing lines, applied especially to mechanical engineering. by robert h. smith, professor of engineering, mason college, birmingham. part i. with separate atlas of plates containing diagrams. vo., _s._ _stoney._--the theory of the stresses on girders and similar structures. with practical observations on the strength and other properties of materials. by bindon b. stoney, ll.d., f.r.s., m.i.c.e. with plates and illustrations in the text. royal vo., _s._ _unwin._--works by william cawthorne unwin, f.r.s., b.s.c. the testing of materials of construction. embracing the description of testing machinery and apparatus auxiliary to mechanical testing, and an account of the most important researches on the strength of materials. with woodcuts and folding-out plates. vo., _s._ on the development and transmission of power from central stations: being the howard lectures delivered at the society of arts in . with diagrams. vo., _s._ net. _warren._--engineering construction in iron, steel, and timber. by william henry warren, challis professor of civil and mechanical engineering, university of sydney. with folding plates, and diagrams. royal vo., _s._ net. machine drawing and design. _low and bevis._--a manual of machine drawing and design. by david allan low (whitworth scholar), m.i.mech.e., professor of engineering, east london technical college, people's palace, london; and alfred william bevis (whitworth scholar), m.i.mech.e., director of manual training to the birmingham school board. with illustrations. vo., _s._ _d._ _low._--works by david allan low, professor of engineering, east london technical college. improved drawing scales. _d._ in case. an introduction to machine drawing and design. with illustrations and diagrams. crown vo., _s._ mechanical engineer's pocket-book. [_in the press._ _unwin._--the elements of machine design. by w. cawthorne unwin, f.r.s., professor of engineering at the central institute of the city and guilds of london institute. part i. general principles, fastenings, and transmissive machinery. with diagrams, etc. fcp. vo., _s._ part ii. chiefly on engine details. with woodcuts. fcp. vo., _s._ _d._ longmans' civil engineering series. edited by the author of 'notes on building construction'. tidal rivers: their ( ) hydraulics, ( ) improvement, ( ) navigation. by w. h. wheeler, m.inst.c.e., author of 'the drainage of fens and low lands by gravitation and steam power'. with illustrations. medium vo., _s._ net. notes on docks and dock construction. by c. colson, m.inst.c.e., assistant director of works, admiralty. with illustrations. medium vo., _s._ net. principles and practice of harbour construction. by william shield, f.r.s.e., m.inst.c.e., and executive engineer, national harbour of refuge, peterhead, n.b. with illustrations. medium vo., _s._ net. calculations for engineering structures. by t. claxton fidler, m.i.c.e., professor of engineering in the university of dundee; author of 'a practical treatise on bridge construction'. [_in preparation._ principles and practice of civil engineering. by l. f. vernon-harcourt, m.inst.c.e., professor of civil engineering at university college, london. [_in preparation._ railway construction. by w. h. mills, m.i.c.e., engineer-in-chief, great northern railway, ireland. [_in preparation._ workshop appliances, etc. _northcott._--lathes and turning, simple, mechanical and ornamental. by w. h. northcott. with illustrations. vo., _s._ _shelley._--workshop appliances, including descriptions of some of the gauging and measuring instruments, hand-cutting tools, lathes, drilling, plaining, and other machine tools used by engineers. by c. p. b. shelley, m.i.c.e. with an additional chapter on milling by r. r. lister. with woodcuts. fcp. vo., _s._ mineralogy, metallurgy, etc. _bauerman._--works by hilary bauerman, f.g.s. systematic mineralogy. with woodcuts and diagrams. fcp. vo., _s._ descriptive mineralogy. with woodcuts and diagrams. fcp. vo., _s._ _gore._--the art of electro-metallurgy, including all known processes of electro-deposition. by g. gore, ll.d., f.r.s. with woodcuts. fcp. vo., _s._ _huntington and m'millan._--metals: their properties and treatment. by a. k. huntington, professor of metallurgy in king's college, london, and w. g. m'millan, lecturer on metallurgy in mason's college, birmingham. with illustrations. fcp. vo., _s._ _d._ _rhead._--metallurgy. an elementary text book. by e. c. rhead, lecturer on metallurgy at the municipal technical school, manchester. with illustrations. fcp. vo., _s._ _d._ _rutley._--the study of rocks: an elementary text-book of petrology. by f. rutley, f.g.s. with plates and woodcuts. fcp. vo., _s._ _d._ astronomy, navigation, etc. _abbott._--elementary theory of the tides: the fundamental theorems demonstrated without mathematics and the influence on the length of the day discussed. by t. k. abbott, b.d., fellow and tutor, trinity college, dublin. crown vo., _s._ _ball._--works by sir robert s. ball, ll.d., f.r.s. elements of astronomy. with figures and diagrams. fcp. vo., _s._ _d._ a class-book of astronomy. with diagrams. fcp. vo., _s._ _d._ _clerke._--the system of the stars. by agnes m. clerke. with plates, and numerous illustrations. vo., _s._ _goodwin._--azimuth tables for the higher declinations. (limits of declination ° to °, both inclusive.) between the parallels of latitude ° and °. with examples of the use of the tables in english and french. by h. b. goodwin, naval instructor, royal navy. royal vo., _s._ _d._ _herschel._--outlines of astronomy.--by sir john f. w. herschel, bart., k. h., etc. with plates, and numerous diagrams. vo., _s._ _lowell._--mars. by percival lowell, fellow american academy, member royal asiatic society, great britain and ireland, etc. with plates. vo., _s._ _d._ _martin._--navigation and nautical astronomy. compiled by staff commander w. r. martin, r.n. royal vo., _s._ _merrifield._--a treatise on navigation. for the use of students. by j. merrifield, ll.d., f.r.a.s., f.m.s. with charts and diagrams. crown vo., _s._ _parker._--elements of astronomy. with numerous examples and examination papers. by george w. parker, m.a., of trinity college, dublin. with diagrams. vo., _s._ net. _webb._--celestial objects for common telescopes. by the rev. _t. w. webb_, m.a., f.r.a.s. fifth edition, revised and greatly enlarged by the rev. t. e. espin, m.a., f.r.a.s. (two volumes.) vol. i., with portrait and a reminiscence of the author, plates, and numerous illustrations. crown vo., _s._ vol. ii., with numerous illustrations. crown vo., _s._ _d._ works by richard a. proctor. old and new astronomy. with plates and illustrations in the text. to., _s._ the moon: her motions, aspect, scenery, and physical condition. with many plates and charts, wood engravings, and lunar photographs. crown vo., _s._ _d._ the universe of stars: researches into, and new views respecting the constitution of the heavens. with charts ( coloured), and diagrams. vo., _s._ _d._ other worlds than ours: the plurality of worlds studied under the light of recent scientific researches. with illustrations; map, charts, etc. crown vo., _s._ _d._ our place among infinities: a series of essays contrasting our little abode in space and time with the infinities around us. crown vo., _s._ _d._ myths and marvels of astronomy. crown vo., _s._ _d._ light science for leisure hours: familiar essays on scientific subjects. natural phenomena, etc. vols., crown vo., _s._ each. the orbs around us; essays on the moon and planets, meteors and comets, the sun and coloured pairs of suns. crown vo., _s._ _d._ the expanse of heaven: essays on the wonders of the firmament. crown vo., _s._ _d._ other suns than ours: a series of essays on suns--old, young, and dead. with other science gleanings. two essays on whist, and correspondence with sir john herschel. with star-maps and diagrams. crown vo., _s._ _d._ half-hours with the telescope: a popular guide to the use of the telescope as a means of amusement and instruction. with plates. fcp. vo., _s._ _d._ new star atlas for the library, the school, and the observatory, in twelve circular maps (with two index-plates). with an introduction on the study of the stars. illustrated by diagrams. crown vo., _s._ the southern skies: a plain and easy guide to the constellations of the southern hemisphere. showing in maps the position of the principal star-groups night after night throughout the year. with an introduction and a separate explanation of each map. true for every year. to., _s._ half-hours with the stars: a plain and easy guide to the knowledge of the constellations. showing in maps the position of the principal star-groups night after night throughout the year. with introduction and a separate explanation of each map. true for every year. to., _s._ _d._ larger star atlas for observers and students. in twelve circular maps, showing stars, double stars, nebulæ, etc. with index-plates. folio, _s._ the stars in their seasons: an easy guide to a knowledge of the star-groups. in large maps. imperial vo., _s._ rough ways made smooth. familiar essays on scientific subjects. crown vo., _s._ _d._ pleasant ways in science. crown vo., _s._ _d._ nature studies. by r. a. proctor, grant allen, a. wilson, t. foster, and e. clodd. crown vo., _s._ _d._ leisure readings. by r. a. proctor, e. clodd, a. wilson, t. foster, and a. c. ranyard. crown vo., _s._ _d._ manufactures, technology, etc. _bell._--jacquard weaving and designing. by f. t. bell, medallist in honours and certificated teacher in 'linen manufacturing' and in 'weaving and pattern designing,' city and guilds of london institute. with diagrams. vo., _s._ net. _lupton._--mining. an elementary treatise on the getting of minerals. by arnold lupton, m.i.c.e., f.g.s., etc. with diagrams and illustrations. crown vo., _s._ net. _morris and wilkinson._--the elements of cotton spinning. by john morris and f. wilkinson. with a preface by sir b. a. dobson, c.e., m.i.m.e. with diagrams and illustrations. crown vo, _s._ _d._ net. _sharp._--bicycles and tricycles: an elementary treatise on their design and construction. with examples and tables. by archibald sharp, b.sc., whitworth scholar; associate member of the institution of civil engineers. with illustrations and diagrams. crown vo., _s._ _taylor._--cotton weaving and designing. by john t. taylor. with diagrams. crown vo., _s._ _d._ net. _watts._--an introductory manual for sugar growers. by francis watts, f.c.s., f.i.c. with illustrations. crown vo., _s._ physiography and geology. _bird._--works by charles bird, b.a. elementary geology. with geological map of the british isles, and illustrations. crown vo., _s._ _d._ advanced geology. a manual for students in advanced classes and for general readers. with over illustrations, a geological map of the british isles (coloured), and a set of questions for examination. crown vo., _s._ _d._ _thornton._--works by j. thornton, m.a. elementary practical physiography (for section i. of the new syllabus of the science and art department). with illustrations. crown vo, _s._ _d._ elementary physiography: an introduction to the study of nature. with maps and illustrations. with appendix on astronomical instruments and measurements. crown vo., _s._ _d._ advanced physiography. with maps and illustrations. crown vo., _s._ _d._ health and hygiene. _brodribb._--manual of health and temperance. by t. brodribb, m.a. with extracts from gough's 'temperance orations'. revised and edited by the rev. w. ruthven pym, m.a., member of the sheffield school board. crown vo., _s._ _d._ _buckton._--health in the house; twenty-five lectures on elementary physiology. by mrs. c. m. buckton. with woodcuts and diagrams. crown vo., _s._ _corfield._--the laws of health. by w. h. corfield, m.a.. m.d. fcp. vo., _s._ _d._ _notter and firth._--works by j. l. notter, m.a., m.d., and r. h. firth, f.r.c.s. hygiene. with illustrations. crown vo., _s._ _d._ practical domestic hygiene. with illustrations. crown vo., _s._ _d._ _poore._--works by george vivian poore, m.d. essays on rural hygiene. crown vo., _s._ _d._ the dwelling-house. with illustrations. crown vo., _s._ _d._ _wilson._--a manual of health-science: adapted for use in schools and colleges. by andrew wilson, f.r.s.e., f.l.s., etc. with illustrations. crown vo., _s._ _d._ natural history. _furneaux._--works by william s. furneaux, f.r.g.s. the outdoor world; or, the young collector's handbook. with plates, of which are coloured, and illustrations in the text. crown vo., _s._ _d._ life in ponds and streams. with coloured plates and illustrations in the text. crown vo., _s._ _d._ butterflies and moths (british). with coloured plates and illustrations in the text. _s._ _d._ _hudson._--british birds. by w. h. hudson, c.m.z.s. with coloured plates from original drawings by a. thorburn, and plates and figures by c. e. lodge, and illustrations from photographs. crown vo., _s._ _d._ _stanley._--a familiar history of birds. by e. stanley, d.d., formerly bishop of norwich. with illustrations. crown vo, _s._ _d._ medicine and surgery. _ashby._--notes on physiology for the use of students preparing for examination. by henry ashby, m.d. lond., f.r.c.p., physician to the general hospital for sick children, manchester; formerly demonstrator of physiology, liverpool school of medicine. sixth edition, thoroughly revised. with illustrations. fcp. vo., _s._ _ashby and wright._--the diseases of children, medical and surgical. by henry ashby, m.d., lond., f.r.c.p., physician to the general hospital for sick children, manchester; and g. a. wright, b.a., m.b. oxon., f.r.c.s., eng., assistant surgeon to the manchester royal infirmary, and surgeon to the children's hospital. enlarged and improved edition. with illustrations. vo., _s._ _bennett._--works by william h. bennett, f.r.c.s., surgeon to st. george's hospital; member of the board of examiners, royal college of surgeons of england. clinical lectures on varicose veins of the lower extremities. with plates. vo., _s._ on varicocele; a practical treatise. with tables and a diagram. vo., _s._ clinical lectures on abdominal hernia: chiefly in relation to treatment, including the radical cure. with diagrams in the text. vo., _s._ _d._ _bentley._--a text-book of organic materia medica. comprising a description of the vegetable and animal drugs of the british pharmacop[oe]ia, with some others in common use. arranged systematically, and especially designed for students. by robert bentley, m.r.c.s. eng., f.l.s. with illustrations on wood. crown vo., _s._ _d._ _brodie._--the essentials of experimental physiology. for the use of students. by t. g. brodie, m.d., lecturer on physiology, st. thomas's hospital medical school. [_in the press._ _cabot._--a guide to the clinical examination of the blood for diagnostic purposes. by richard c. cabot, m.d. with coloured plates and illustrations in the text. vo., _s._ _clarke._--works by j. jackson clarke, m.d. lond., f.r.c.s., assistant surgeon at the north-west london and city orthopædic hospitals, late senior demonstrator of anatomy, demonstrator of bacteriology, and curator of the museum in st. mary's hospital medical school, and pathologist to st. mary's hospital. surgical pathology and principles. with illustrations. crown vo., _s._ _d._ post-mortem examinations in medico-legal and ordinary cases. with special chapters on the legal aspects of post mortems, and on certificates of death. fcp. vo., _s._ _d._ _coats._--a manual of pathology. by joseph coats, m.d., professor of pathology in the university of glasgow. third edition. revised throughout. with illustrations. vo., _s._ _d._ _cooke._--works by thomas cooke, f.r.c.s. eng., b.a., b.sc., m.d., paris, senior assistant surgeon to the westminster hospital. aphorisms in applied anatomy and operative surgery. including typical _vivâ voce_ questions on surface marking, etc. crown vo., _s._ _d._ dissection guides. aiming at extending and facilitating such practical work in anatomy as will be specially useful in connection with an ordinary hospital curriculum. vo., _s._ _d._ _dakin._--a handbook of midwifery. by william radford dakin, m.d., f.r.c.p., obstetric physician and lecturer on midwifery at st. george's hospital, etc. with illustrations. large crown vo., _s._ _dickinson._--works by w. howship dickinson, m.d. cantab., f.r.c.p., physician to, and lecturer on medicine at, st. george's hospital, consulting physician to the hospital for sick children. on renal and urinary affections. with plates and woodcuts. three parts. vo., £ _s._ _d._ the tongue as an indication of disease; being the lumleian lectures delivered at the royal college of physicians in march, . vo., _s._ _d._ occasional papers on medical subjects, - . vo., _s._ _duckworth._--the sequels of disease: being the lumleian lectures delivered in the royal college of physicians, . together with observations on prognosis in disease. by sir dyce duckworth, m.d., ll.d., fellow and treasurer of the royal college of physicians, etc. vo., _s._ _d._ _erichsen._--the science and art of surgery; a treatise on surgical injuries, diseases, and operations. by sir john eric erichsen, bart., f.r.s., ll.d. edin., hon. m.ch. and f.r.c.s. ireland, late surgeon extraordinary to h.m. the queen. illustrated by nearly engravings on wood. vols. royal vo., _s._ _fowler and goodlee._--the diseases and injuries of the lungs and pleura. by james kingston fowler, m.a., m.d., f.r.c.b., physician and lecturer on pathological anatomy, middlesex hospital, etc.; and rickman j. goodlee, b.a. lond., m.b., f.r.c.s., etc. with illustrations. [_in the press._ _garrod._--works by sir alfred baring garrod, m.d., f.r.s., etc., physician extraordinary to h.m. the queen; consulting physician to king's college hospital; late vice-president of the royal college of physicians. a treatise on gout and rheumatic gout (rheumatoid arthritis). third edition, thoroughly revised and enlarged. with plates, comprising figures ( coloured), and illustrations engraved on wood. vo., _s._ the essentials of materia medica and therapeutics. the thirteenth edition, revised and edited, under the supervision of the author, by nestor tirard, m.d. lond., f.r.c.p., professor of materia medica and therapeutics in king's college, london, etc. crown vo., _s._ _d._ _gray._--anatomy, descriptive and surgical. by henry gray, f.r.s., late lecturer on anatomy at st. george's hospital. the fourteenth edition, re-edited by t. pickering pick, surgeon to st. george's hospital, inspector of anatomy in england and wales, late member of the court of examiners, royal college of surgeons of england. with large woodcut illustrations, a large proportion of which are coloured, the arteries being coloured red, the veins blue, and the nerves yellow. the attachments of the muscles to the bones, in the section on osteology, are also shown in coloured outline. royal vo., _s._ _halford._--the life of sir henry halford, bart., g.c.h., m.d., f.r.s., president of the royal college of physicians, physician to george iii., george iv., william iv., and to her majesty queen victoria. by william munk, m.d., f.s.a., fellow and late vice-president of the royal college of physicans of london. with portraits. vo., _s._ _d._ _halliburton._--works by w. d. halliburton, m.d., f.r.s., m.r.c.p., professor of physiology in king's college, london; lecturer on physiology at the london school of medicine for women. a text-book of chemical physiology and pathology. with illustrations. vo., _s._ essentials of chemical physiology. vo., _s._ *** this is a book suitable for medical students. it treats of the subject in the same way as prof. schafer's "essentials" treats of histology. it contains a number of elementary and advanced practical lessons, followed in each case by a brief descriptive account of the facts related to the exercises which are intended to be performed by each member of the class. _lang._--the methodical examination of the eye. being part i. of a guide to the practice of ophthalmology for students and practitioners. by william lang, f.r.c.s. eng., surgeon to the royal london ophthalmic hospital, moorfields, etc. with illustrations. crown vo., _s._ _d._ _liveing._--handbook on diseases of the skin. with especial reference to diagnosis and treatment. by robert liveing, m.a. and m.d., cantab., f.r.c.p. lond., etc., physician to the department for diseases of the skin at the middlesex hospital, etc. fcp. vo., _s._ _longmore._--works by surgeon-general sir t. longmore c.b., f.r.c.s., late professor of military surgery in the army medical school, officer of the legion of honour. the illustrated optical manual; or, handbook of instructions for the guidance of surgeons in testing quality and range of vision, and in distinguishing and dealing with optical defects in general. illustrated by drawings and diagrams by inspector-general dr. macdonald, r.n., f.r.s., c.b. fourth edition. vo., _s._ gunshot injuries. their history, characteristic features, complications, and general treatment; with statistics concerning them as they have been met with in warfare. with illustrations. vo., _s._ _d._ _luff._--text-book of forensic medicine and toxicology. by arthur p. luff, m.d., b.sc. (lond.), physician in charge of out-patients and lecturer on medical jurisprudence and toxicology in st. mary's hospital; examiner in forensic medicine in the university of london; external examiner in forensic medicine in the victoria university; official analyst to the home office. with full-page plates ( in colours) and illustrations in the text. vols. crown vo., _s._ newman.--on the diseases of the kidney amenable to surgical treatment. lectures to practitioners. by david newman, m.d., surgeon to the western infirmary out-door department; pathologist and lecturer on pathology at the glasgow royal infirmary; examiner in pathology in the university of glasgow; vice-president glasgow pathological and clinical society. vo., _s._ owen.--a manual of anatomy for senior students. by edmund owen, m.b., f.r.s.c., senior surgeon to the hospital for sick children, great ormond street, surgeon to st. mary's hospital, london, and co-lecturer on surgery, late lecturer on anatomy in its medical school. with illustrations. crown vo., _s._ _d._ poole.--cookery for the diabetic. by w. h. and mrs. poole. with preface by dr. pavy. fcap. vo., _s._ _d._ quain.--a dictionary of medicine; including general pathology, general therapeutics, hygiene, and the diseases of women and children. by various writers. edited by richard quain, bart., m.d. lond., ll.d. edin. (hon.) f.r.s., physician extraordinary to h.m. the queen, president of the general medical council, member of the senate of the university of london, etc. assisted by frederick thomas roberts, m.d. lond., b.sc., fellow of the royal college of physicians, fellow of university college, professor of materia medica and therapeutics, university college, &c.; and j. mitchell bruce, m.a. abdn., m.d. lond., fellow of the royal college of physicians of london, physician and lecturer on the principles and practice of medicine, charing cross hospital, &c. new edition, revised throughout and enlarged. vols. medium vo., _s._ net. _quain._--quain's (jones) elements of anatomy. the tenth edition. edited by edward albert schÄfer, f.r.s., professor of physiology and histology in university college, london; and george dancer thane, professor of anatomy in university college, london. *** the several parts of this work form complete text-books of their respective subjects. vol. i., part i. embryology. by e. a. schÄfer, f.r.s. with illustrations. royal vo., _s._ vol. i., part ii. general anatomy or histology. by e. a. schÄfer, f.r.s. with illustrations. royal vo., _s._ _d._ vol. ii., part i. osteology. by g. d. thane. with illustrations. royal vo., _s._ vol. ii., part ii. arthrology--myology--angeiology. by g. d. thane. with illustrations. royal vo., _s._ vol. iii., part i. the spinal cord and brain. by e. a. schÄfer, f.r.s. with illustrations. royal vo., _s._ _d._ vol. iii. part ii. the nerves. by g. d. thane. with illustrations. royal vo., _s._ vol. iii., part iii. the organs of the senses. by e. a. schÄfer, f.r.s. with illustrations. royal vo., _s._ vol. iii., part iv. splanchnology. by e. a. schÄfer, f.r.s., and johnson symington, m.d. with illustrations. royal vo., _s._ appendix. superficial and surgical anatomy. by professor g. d. thane and professor r. j. godlee, m.s. with illustrations. royal vo., _s._ _d._ _richardson._--vita medica: chapters of medical life and work. by sir b. w. richardson, m.a., ll.d., f.r.s. vo., _s._ _schÄfer._--the essentials of histology. descriptive and practical. for the use of students. by e. a. schÄfer, f.r.s., jodrell professor of physiology in university college, london; editor of the histological portion of quain's 'anatomy'. illustrated by more than figures, many of which are new. fourth edition, revised and enlarged. vo., _s._ _d._ (interleaved, _s._) _schenk._--manual of bacteriology. for practitioners and students. with especial reference to practical methods. by dr. s. l. schenk, professor (extraordinary) in the university of vienna. translated from the german, with an appendix, by w. r. dawson, b.a., m.d., univ. dub.; late university travelling prizeman in medicine. with illustrations, some of which are coloured. vo., _s._ net. _smale and colyer._ diseases and injuries of the teeth, including pathology and treatment: a manual of practical dentistry for students and practitioners. by morton smale, m.r.c.s., l.s.a., l.d.s., dental surgeon to st. mary's hospital, dean of the school, dental hospital of london, etc.; and j. f. colyer, l.r.c.p., m.r.c.s., l. d.s., assistant dental surgeon to charing cross hospital, and assistant dental surgeon to the dental hospital of london. with illustrations. large crown vo., _s._ _smith_ (_h. f._). the handbook for midwives. by henry fly smith, b.a., m.b. oxon., m.r.c.s. second edition. with woodcuts. crown vo., _s._ _stevenson._--wounds in war: the mechanism of their production and their treatment. by surgeon-colonel w. f. stevenson (army medical staff), a.b., m.b., m.ch. dublin university, professor of military surgery, army medical school, netley. with illustrations. vo., _s._ _tirard._--diphtheria and antitoxin. by nestor tirard, m.d. lond., fellow of the royal college of physicians; fellow of king's college, london; professor of materia medica and therapeutics at king's college; physician to king's college hospital; and senior physician to the evelina hospital for sick children. vo., _s._ _d._ _wakley._--the life and times of thomas wakley, founder and first editor of the _lancet_, member of parliament for finsbury, and coroner for west middlesex. by squire sprigge, m.b. cantab. with portraits. vo., _s._ _waller._--works by augustus d. waller, m.d., lecturer on physiology at st. mary's hospital medical school, london; late external examiner at the victorian university. an introduction to human physiology. third edition, revised. with illustrations. vo., _s._ lectures on physiology. first series. on animal electricity. vo., _s._ net. exercises in practical physiology. part i. elementary physiological chemistry. by augustus d. waller and w. legge symes. vo., _s._ net. part ii. in the press. part iii. physiology of the nervous system; electro-physiology. vo., _s._ _d._ net. _weichselbaum._--the elements of pathological histology. with special reference to practical methods. by dr. anton weichselbaum, professor of pathology in the university of vienna. translated by w. r. dawson, m.d. (dub.), demonstrator of pathology in the royal college of surgeons, ireland, late medical travelling prizeman of dublin university, etc. with figures, partly in colours, a cromo-lithographic plate, and photographic plates. royal vo., _s._ net. _wilks and moxon._--lectures on pathological anatomy. by sir samuel wilks, bart., m.d., f.r.s., president of the royal college of physicians, and physician extraordinary to h.m. the queen, and the late walter moxon, m.d., f.r.c.p., physician to, and some time lecturer on pathology at, guy's hospital. third edition, thoroughly revised. by sir samuel wilks, bart., m.d., ll.d., f.r.s. vo., _s._ veterinary medicine, etc. _steel._--works by john henry steel, f.r.c.v.s., f.z.s., a.v.d., late professor of veterinary science and principal of bombay veterinary college. a treatise on the diseases of the dog; being a manual of canine pathology. especially adapted for the use of veterinary practitioners and students. with illustrations. vo., _s._ _d._ a treatise on the diseases of the ox; being a manual of bovine pathology. especially adapted for the use of veterinary practitioners and students. with plates and woodcuts. vo., _s._ a treatise on the diseases of the sheep; being a manual of ovine pathology for the use of veterinary practitioners and students. with coloured plate and woodcuts. vo., _s._ outlines of equine anatomy; a manual for the use of veterinary students in the dissecting room. crown vo., _s._ _d._ _fitzwygram._--horses and stables. by major-general sir f. fitzwygram, bart. with pages of illustrations. vo., _s._ _d._ net. _schreiner._--the angora goat (published under the auspices of the south african angora goat breeders' association), and a paper on the ostrich (reprinted from the _zoologist_ for march, ). by s. c. cronwright schreiner. vo. 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(lond.). with illustrations, numerous worked examples, and about examples from examination papers, etc. crown vo., _s._ _d._ a manual of mechanics. with illustrations and diagrams, and examples taken from examination papers, with answers. by t. m. goodeve, m.a. crown vo., _s._ _d._ sound, light, and heat. by mark r. wright. with diagrams and illustrations. crown vo., _s._ _d._ metallurgy: an elementary text-book. by e. l. rhead. with illustrations. crown vo., _s._ _d._ physics. alternative course. by mark r. wright. with illustrations. crown vo., _s._ _d._ problems and solutions in elementary electricity and magnetism. by w. slingo and a. brooker. with illustrations. crown vo., _s._ magnetism and electricity. by a. w. poyser, m.a. with illustrations. crown vo., _s._ _d._ organic chemistry: the fatty compounds. by r. lloyd whiteley, f.i.c., f.c.s. with illustrations. crown vo., _s._ _d._ inorganic chemistry, theoretical and practical. by william jago, f.c.s., f.i.c. with illustrations and numerous questions and exercises. fcp. vo., _s._ _d._ an introduction to practical inorganic chemistry. by william jago, f.c.s., f.i.c. crown vo., _s._ _d._ practical chemistry: the principles of qualitative analysis. by william a. tilden, d.sc. fcp. vo., _s._ _d._ elementary inorganic chemistry, by w. s. furneaux, f.r.g.s. crown vo., _s._ _d._ elementary geology. by charles bird, b.a., f.g.s. with coloured geological map of the british islands, and illustrations. crown vo., _s._ _d._ human physiology. by william s. furneaux, f.r.g.s. with illustrations. crown vo., _s._ _d._ a course of practical elementary biology. by j. bidgood, b.sc. with illustrations. crown vo., _s._ _d._ elementary botany, theoretical and practical. by henry edmonds, b.sc. with woodcuts. crown vo, _s._ _d._ steam. by william ripper, member of the institution of mechanical engineers. with illustrations. crown vo., _s._ _d._ elementary physiography. by j. thornton, m.a. with maps and illustrations. with appendix on astronomical instruments and measurements. crown vo., _s._ _d._ agriculture. by henry j. webb, ph.d. with illustrations. crown vo., _s._ _d._ the london science class-books. edited by g. carey foster, f.r.s., and by sir philip magnus, b.sc., b.a., of the city and guilds of london institute. astronomy. by sir robert stawell ball, ll.d., f.r.s. with diagrams. fcp. vo., _s._ _d._ mechanics. by sir robert stawell ball, ll.d., f.r.s. with diagrams. fcp. vo., _s._ _d._ the laws of health. by w. h. corfield, m.a., m.d., f.r.c.p. with illustrations. fcp. vo., _s._ _d._ molecular physics and sound. by frederick guthrie, f.r.s. with diagrams. fcp. vo., _s._ _d._ geometry, congruent figures. by o. henrici, ph.d., f.r.s. with diagrams. fcp. vo., _s._ _d._ zoology of the invertebrate animals. by alexander macalister, m.d. with diagrams. fcp. vo., _s._ _d._ zoology of the vertebrate animals. by alexander macalister, m.d. with diagrams. fcp. vo., _s._ _d._ hydrostatics and pneumatics. by sir philip magnus, b.sc., b.a. with diagrams. fcp. vo., _s._ _d._ (to be had also _with answers_, _s._) the worked solutions of the problems. _s._ botany. outlines of the classification of plants. by w. r. mcnab, m.d. with diagrams. fcp. vo, _s._ _d._ botany. outlines of morphology and physiology. by w. r. mcnab, m.d. with diagrams. fcp. vo., _s._ _d._ thermodynamics. by richard wormell, m.a., d.sc. with diagrams. fcp. vo., _s._ _d._ practical elementary science series. elementary practical physiography. (section i.) by john thornton, m.a., head master of the central higher grade school, bolton. with illustrations and a coloured spectrum. crown vo., _s._ _d._ practical domestic hygiene. by j. lane notter, m.a., m.d., professor of hygiene in the army medical school, netley, surgeon-colonel, army medical staff; and r. h. firth, f.r.c.s., assistant professor of hygiene in the army medical school, netley, surgeon-major army medical staff. with illustrations. crown vo., _s._ _d._ elementary practical chemistry: a laboratory manual for use in organised science schools. by g. s. newth, f.i.c., f.c.s., demonstrator in the royal college of science, london; assistant examiner in chemistry, science and art department. with illustrations and experiments. crown vo., _s._ _d._ elementary practical physics: a laboratory manual for use in organised science schools. by w. watson, b.sc., demonstrator in physics in the royal college of science, london; assistant examiner in physics, science and art department. with illustrations and exercises. crown vo., _s._ _d._ _other volumes in preparation._ * * * * * transcriber's note: the half-title has been deleted. obvious misprints were corrected. inconsistant hyphenation was kept as it is. color title-page images were generously provided by the university of pennsylvania schoenberg center for electronic text & image (http://dewey.library.upenn.edu/sceti). transcriber's notes: this e-book was prepared from a facsimile of the first edition and contains spelling, capitalization, and punctuation inconsistencies typical of the era. these have been preserved as they appear in the original. printer errors have also been preserved. those mentioned in the errata at the end of the book are noted with [errata: corrected text]. other obvious printer errors are noted with [transcriber's note: corrected text] where the meaning might be unclear without the correction. see also the printer's note preceding the errata, which contains material omitted from the text (the place where it should be inserted is marked in the text with a transcriber's note). there are a number of sidenotes in this book, most of which function as footnotes (e.g., citations to other works) and some of which function as true sidenotes. for the sake of clarity, sidenotes functioning as footnotes have been converted to numbered footnotes, with number markers at appropriate places in the text. a character with a macron is represented by an equal sign. e.g., [=a] indicates "a" with macron. a table of contents has been provided for the reader's convenience. the sceptical chymist: or chymico-physical doubts & paradoxes, touching the spagyrist's principles commonly call'd hypostatical, as they are wont to be propos'd and defended by the generality of alchymists. whereunto is præmis'd part of another discourse relating to the same subject. by the honourable _robert boyle_, esq; _london,_ printed by _j. cadwell_ for _j. crooke_, and are to be sold at the _ship_ in st. _paul's_ church-yard. _mdclxi._ contents a præface introductory physiological considerations the first part the second part the third part the fourth part the fifth part the sixth part the conclusion printer's note errata a prÆface introductory _to the following treatise._ _to give the reader an account, why the following treatise is suffer'd to pass abroad so maim'd and imperfect, i must inform him that 'tis now long since, that to gratify an ingenious gentleman, i set down some of the reasons that kept me from fully acquiescing either in the peripatetical, or in the chymical doctrine, of the material principles of mixt bodies. this discourse some years after falling into the hands of some learned men, had the good luck to be so favourably receiv'd, and advantageously spoken of by them, that having had more then ordinary invitations given me to make it publick, i thought fit to review it, that i might retrench some things that seem'd not so fit to be shewn to every reader, and substitute some of those other things that occurr'd to me of the trials and observations i had since made. what became of my papers, i elsewhere mention in a preface where i complain of it: but since i writ that, i found many sheets that belong'd to the subjects i am now about to discourse of. wherefore seeing that i had then in my hands as much of the first dialogue as was requisite to state the case, and serve for an introduction as well to the conference betwixt_ carneades _and_ eleutherius, _as to some other dialogues, which for certain reasons are not now herewith publish'd, i resolv'd to supply, as well as i could, the contents of a paper belonging to the second of the following discourses, which i could not possibly retrive, though it were the chief of them all. and having once more try'd the opinion of friends, but not of the same, about this imperfect work, i found it such, that i was content in complyance with their desires; that not only it should be publish'd, but that it should be publish'd as soon as conveniently might be. i had indeed all along the dialogues spoken of my self, as of a third person; for, they containing discourses which were among the first treatises that i ventur'd long ago to write of matters philosophical, i had reason to desire, with the painter, to_ latere pone tabulam, _and hear what men would say of them, before i own'd my self to be their author. but besides that now i find, 'tis not unknown to many who it is that writ them, i am made to believe that 'tis not inexpedient, they should be known to come from a person not altogether a stranger to chymical affairs. and i made the lesse scruple to let them come abroad uncompleated, partly, because my affairs and præ-ingagements to publish divers other treatises allow'd me small hopes of being able in a great while to compleat these dialogues. and partly, because i am not unapt to think, that they may come abroad seasonably enough, though not for the authors reputation, yet for other purposes. for i observe, that of late chymistry begins, as indeed it deserves, to be cultivated by learned men who before despis'd it; and to be pretended to by many who never cultivated it, that they may be thought not to ignore it: whence it is come to passe, that divers chymical notions about matters philosophical are taken for granted and employ'd, and so adopted by very eminent writers both naturalists and physitians. now this i fear may prove somewhat prejudicial to the advancement of solid philosophy: for though i am a great lover of chymical experiments, and though i have no mean esteem of divers chymical remedies, yet i distinguish these from their notions about the causes of things, and their manner of generation. and for ought i can hitherto discern, there are a thousand_ phænomena _in nature, besides a multitude of accidents relating to the humane body, which will scarcely be clearly & satisfactorily made out by them that confine themselves to deduce things from salt, sulphur and mercury, and the other notions peculiar to the chymists, without taking much more notice than they are wont to do, of the motions and figures, of the small parts of matter, and the other more catholick and fruitful affections of bodies. wherefore it will not perhaps be now unseasonable to let our_ carneades _warne men, not to subscribe to the grand doctrine of the chymists touching their three hypostatical principles, till they have a little examin'd it, and consider'd, how they can clear it from his objections, divers of which 'tis like they may never have thought on; since a chymist scarce would, and none but a chymist could propose them. i hope also it will not be unacceptable to several ingenious persons, who are unwilling to determine of any important controversie, without a previous consideration of what may be said on both sides, and yet have greater desires to understand chymical matters, than opportunities of learning them, to find here together, besides several experiments of my own purposely made to illustrate the doctrine of the elements, divers others scarce to be met with, otherwise then scatter'd among many chymical books. and to find these associated experiments so deliver'd as that an ordinary reader, if he be but acquainted with the usuall chymical termes, may easily enough understand them; and even a wary one may safely rely on them. these things i add, because a person any thing vers'd in the writings of chymists cannot but discern by their obscure, ambiguous, and almost Ænigmatical way of expressing what they pretend to teach, that they have no mind, to be understood at all, but by_ the sons of art _(as they call them) nor to be understood even by these without difficulty and hazardous tryalls. insomuch that some of them scarce ever speak so candidly, as when they make use of that known chymical sentence;_ ubi palam locuti fumus, ibi nihil diximus. _and as the obscurity of what some writers deliver makes it very difficult to be understood; so the unfaithfulness of too many others makes it unfit to be reli'd on. for though unwillingly, yet i must for the truths sake, and the readers, warne him not to be forward to believe chymical experiments when they are set down only by way of prescriptions, and not of relations; that is, unless he that delivers them mentions his doing it upon his own particular knowledge, or upon the relation of some credible person, avowing it upon his own experience. for i am troubled, i must complain, that even eminent writers, both physitians and philosophers, whom i can easily name, if it be requir'd, have of late suffer'd themselves to be so far impos'd upon, as to publish and build upon chymical experiments, which questionless they never try'd; for if they had, they would, as well as i, have found them not to be true. and indeed it were to be wish'd, that now that those begin to quote chymical experiments that are not themselves acquainted with chymical operations, men would leave off that indefinite way of vouching the chymists say this, or the chymists affirme that, and would rather for each experiment they alledge name the author or authors, upon whose credit they relate it; for, by this means they would secure themselves from the suspition of falshood (to which the other practice exposes them) and they would leave the reader to judge of what is fit for him to believe of what is deliver'd, whilst they employ not their own great names to countenance doubtfull relations; and they will also do justice to the inventors or publishers of true experiments, as well as upon the obtruders of false ones. whereas by that general way of quoting the chymists, the candid writer is defrauded of the particular praise, and the impostor escapes the personal disgrace that is due to him._ _the remaining part of this præface must be imploy'd in saying something for_ carneades, _and something for my self._ _and first_, carneades _hopes that he will be thought to have disputed civilly and modestly enough for one that was to play the antagonist and the sceptick. and if he any where seem to sleight his adversaries tenents and arguments, he is willing to have it look'd upon as what he was induc'd to, not so much by his opinion of them, as the examples of_ themistius _and_ philoponus, _and the custom of such kind of disputes._ _next, in case that some of his arguments shall not be thought of the most cogent sort that may be, he hopes it will be consider'd that it ought not to be expected, that they should be so. for, his part being chiefly but to propose doubts and scruples, he does enough, if he shews that his adversaries arguments are not strongly concluding, though his own be not so neither. and if there should appear any disagreement betwixt the things he delivers in divers passages, he hopes it will be consider'd, that it is not necessary that all the things a sceptick proposes, should be consonant; since it being his work to suggest doubts against the opinion he questions, it is allowable for him to propose two or more severall_ hypotheses _about the same thing: and to say that it may be accounted for this way, or that way, or the other way, though these wayes be perhaps inconsistent among themselves. because it is enough for him, if either of the proposed_ hypotheses _be but as probable as that he calls a question. and if he proposes many that are each of them probable, he does the more satisfie his doubts, by making it appear the more difficult to be sure, that that which they alwayes differ from is the true. and our_ carneades _by holding the negative, he has this advantage, that if among all the instances he brings to invalidate all the vulgar doctrine of those he disputes with, any one be irrefragable, that alone is sufficient to overthrow a doctrine which universally asserts what he opposes. for, it cannot be true, that all bodies whatsoever that are reckon'd among the perfectly mixt ones, are compounded of such a determinate number of such or such ingredients, in case any one such body can be produc'd, that is not so compounded; and he hopes too, that accurateness will be the less expected from him, because his undertaking obliges him to maintain such opinions in chymistry, and that chiefly by chymical arguments, as are contrary to the very principles of the chymists; from whose writings it is not therefore like he should receive any intentionall assistance, except from some passages of the bold and ingenious_ helmont, _with whom he yet disagrees in many things (which reduce him to explicate divers chymical_ phænomena, _according to other notions;) and of whose ratiocinations, not only some seem very extravagant, but even the rest are not wont to be as considerable as his experiments. and though it be true indeed, that some_ aristotelians _have occasionally written against the chymical doctrine he oppugnes, yet since they have done it according to their principles, and since our_ carneades _must as well oppose their_ hypothesis _as that of the spagyrist, he was fain to fight his adversaries with their own weapons, those of the peripatetick being improper, if not hurtfull for a person of his tenents; besides that those_ aristotelians, _(at least, those he met with,) that have written against the chymists, seem to have had so little experimental knowledge in chymical matters, that by their frequent mistakes and unskilfull way of oppugning, they have too often expos'd themselves to the derision of their adversaries, for writing so confidently against what they appear so little to understand._ _and lastly_, carneades _hopes, he shall doe the ingenious this piece of service, that by having thus drawn the chymists doctrine out of their dark and smoakie laboratories, and both brought it into the open light, and shewn the weakness of their proofs, that have hitherto been wont to be brought for it, either judicious men shall henceforth be allowed calmly and after due information to disbelieve it, or those abler chymists, that are zealous for the reputation of it, will be oblig'd to speak plainer then hitherto has been done, and maintain it by better experiments and arguments then those_ carneades _hath examin'd: so that he hopes, the curious will one way or other derive either satisfaction or instruction from his endeavours. and as he is ready to make good the profession he makes in the close of his discourse, he being ready to be better inform'd, so he expects either to be indeed inform'd, or to be let alone. for though if any truly knowing chymists shall think fit in a civil and rational way to shew him any truth touching the matter in dispute that he yet discernes not,_ carneades _will not refuse either to admit, or to own a conviction: yet if any impertinent person shall, either to get himself a name, or for what other end soever, wilfully or carelesly mistake the state of the controversie, or the sence of his arguments, or shall rail instead of arguing, as hath been done of late in print by divers chymists;_[ ] _or lastly, shall write against them in a canting way; i mean, shall express himself in ambiguous or obscure termes, or argue from experiments not intelligibly enough deliver'd_, carneades _professes, that he values his time so much, as not to think the answering such trifles worth the loss of it._ [footnote : g. and f. and h. and others, in their books against one another.] _and now having said thus much for_ carneades, _i hope the reader will give me leave to say something too for my self._ _and first, if some morose readers shall find fault with my having made the interlocutors upon occasion complement with one another, and that i have almost all along written these dialogues in a stile more fashionable then that of meer scholars is wont to be, i hope i shall be excus'd by them that shall consider, that to keep a due_ decorum _in the discourses, it was fit that in a book written by a gentleman, and wherein only gentlemen are introduc'd as speakers, the language should be more smooth, and the expressions more civil than is usual in the more scholastick way of writing. and indeed, i am not sorry to have this opportunity of giving an example how to manage even disputes with civility; whence perhaps some readers will be assisted to discern a difference betwixt bluntness of speech and strength of reason, and find that a man may be a champion for truth, without being an enemy to civility; and may confute an opinion without railing at them that hold it; to whom he that desires to convince and not to provoke them, must make some amends by his civility to their persons, for his severity to their mistakes; and must say as little else as he can, to displease them, when he says that they are in an error._ _but perhaps other readers will be less apt to find fault with the civility of my disputants, than the chymists will be, upon the reading of some passages of the following dialogue, to accuse_ carneades _of asperity. but if i have made my sceptick sometimes speak sleightingly of the opinions he opposes, i hope it will not be found that i have done any more, than became the part he was to act of an opponent: especially, if what i have made him say be compar'd with what the prince of the romane orators himself makes both great persons and friends say of one anothers opinions, in his excellent dialogues,_ de natura deorum: _and i shall scarce be suspected of partiality, in the case, by them that take notice that there is full as much (if not far more) liberty of sleighting their adversaries tenents to be met with in the discourses of those with whom_ carneades _disputes. nor needed i make the interlocutors speak otherwise then freely in a dialogue, wherein it was sufficiently intimated, that i meant not to declare my own opinion of the arguments propos'd, much lesse of the whole controversy it self otherwise than as it may by an attentive reader be guess'd at by some passages of_ carneades: _(i say, some passages, because i make not all that he says, especially in the heat of disputation, mine,) partly in this discourse, and partly in some other dialogues betwixt the same speakers (though they treat not immediately of the elements) which have long layn by me, and expect the entertainment that these present discourses will meet with. and indeed they will much mistake me, that shall conclude from what i now publish, that i am at defyance with chymistry, or would make my readers so. i hope the_ specimina _i have lately publish'd of an attempt to shew the usefulness of chymical experiments to contemplative philosophers, will give those that shall read them other thoughts of me: & i had a design (but wanted opportunity) to publish with these papers an essay i have lying by me, the greater part of which is apologetical for one sort of chymists. and at least, as for those that know me, i hope the pain i have taken in the fire will both convince them, that i am far from being an enemy to the chymists art, (though i am no friend to many that disgrace it by professing it,) and perswade them to believe me when i declare that i distinguish betwixt those chymists that are either cheats, or but laborants, and the true_ adepti; _by whom, could i enjoy their conversation, i would both willingly and thankfully be instructed; especially concerning the nature and generation of metals: and possibly, those that know how little i have remitted of my former addictedness to make chymical experiments, will easily believe, that one of the chief designes of this sceptical discourse was, not so much to discredit chymistry, as to give an occasion and a kind of necessity to the more knowing artists to lay aside a little of their over-great reservedness, & either explicate or prove the chymical theory better than ordinary chymists have done, or by enriching us with some of their nobler secrets to evince that their art is able to make amends even for the deficiencies of their theory: and thus much i shall here make bold to add, that we shall much undervalue chymistry, if we imagine, that it cannot teach us things farr more useful, not only to physick but to philosophy, than those that are hitherto known to vulgar chymists. and yet as for inferiour spagyrists themselves, they have by their labours deserv'd so well of the common-wealth of learning, that methinks 'tis pity they should ever misse the truth which they have so industriously sought. and though i be no admirer of the theorical part of their art, yet my conjectures will much deceive me, if the practical part be not much more cultivated than hitherto it has been, and do not both employ philosophy and philosophers, and help to make men such. nor would i that have been diverted by other studies as well as affairs, be thought to pretend being a profound spagyrist, by finding so many faults in the doctrine wherein the generality of chymists scruples not to acquiesce: for besides that 'tis most commonly far easier to frame objections against any propos'd_ hypothesis, _than to propose an_ hypothesis _not lyable to objections (besides this i say) 'tis no such great matter, if whereas beginners in chymistry are commonly at once imbu'd with the theory and operations of their profession, i who had the good fortune to learn the operations from illiterate persons, upon whose credit i was not tempted to take up any opinion about them, should consider things with lesse prejudice, and consequently with other eyes than the generality of learners; and should be more dispos'd to accommodate the_ phænomena _that occur'd to me to other notions than to those of the spagyrists. and having at first entertain'd a suspition that the vulgar principles were lesse general and comprehensive, or lesse considerately deduc'd from chymical operations, than was believ'd; it was not uneasie for me both to take notice of divers_ phænomena, _overlook'd by prepossest persons, that seem'd not to suite so well with the_ hermetical _doctrine; and, to devise some experiments likely to furnish me with objections against it, not known to many, that having practis'd chymistry longer perchance then i have yet liv'd, may have far more experience, than i, of particular processes._ _to conclude, whether the notions i have propos'd, and the experiments i have communicated, be considerable, or not, i willingly leave others to judge; and this only i shall say for my self, that i have endeavour'd to deliver matters of fact, so faithfully, that i may as well assist the lesse skilful readers to examine the chymical_ hypothesis, _as provoke the spagyrical philosophers to illustrate it: which if they do, and that either the chymical opinion, or the peripatetick, or any other theory of the elements differing from that i am most inclin'd to, shall be intelligibly explicated, and duly prov'd to me; what i have hitherto discours'd will not hinder it from making a proselyte of a person that loves fluctuation of judgment little enough to be willing to be eas'd of it by any thing but error._ physiological considerations touching _the experiments wont to be employed to evince either the iv peripatetick elements, or the iii chymical principles of mixt bodies._ part of the first dialogue. i perceive that divers of my friends have thought it very strange to hear me speak so irresolvedly, as i have been wont to do, concerning those things which some take to be the elements, and others to be the principles of all mixt bodies. but i blush not to acknowledge that i much lesse scruple to confess that i doubt, when i do so, then to profess that i know what i do not: and i should have much stronger expectations then i dare yet entertain, to see philosophy solidly establish't, if men would more carefully distinguish those things that they know, from those that they ignore or do but think, and then explicate clearly the things they conceive they understand, acknowledge ingenuously what it is they ignore, and profess so candidly their doubts, that the industry of intelligent persons might be set on work to make further enquiries, and the easiness of less discerning men might not be impos'd on. but because a more particular accompt will probably be expected of my unsatisfyedness not only with the peripatetick, but with the chymical doctrine of the primitive ingredients of bodies: it may possibly serve to satisfy others of the excusableness of my disatisfaction to peruse the ensuing relation of what passed a while since at a meeting of persons of several opinions, in a place that need not here be named; where the subject whereof we have been speaking, was amply and variously discours'd of. it was on one of the fairest dayes of this summer that the inquisitive _eleutherius_ came to invite me to make a visit with him to his friend _carneades_. i readily consented to this motion, telling him that if he would but permit me to go first and make an excuse at a place not far off, where i had at that hour appointed to meet, but not about a business either of moment, or that could not well admit of a delay, i would presently wait on him, because of my knowing _carneades_ to be so conversant with nature and with furnaces, and so unconfin'd to vulgar opinions, that he would probably by some ingenious paradox or other, give our mindes at least a pleasing exercise, and perhaps enrich them with some solid instruction. _eleutherius_ then first going with me to the place where my apology was to be made, i accompanied him to the lodging of _carneades_, where when we were come, we were told by the servants, that he was retired with a couple of friends (whose names they also told us) to one of the arbours in his garden, to enjoy under its coole shades a delightful protection from the yet troublesome heat of the sun. _eleutherius_ being perfectly acquainted with that garden immediately led me to the arbour, and relying on the intimate familiarity that had been long cherish'd betwixt him and _carneades_; in spight of my reluctancy to what might look like an intrusion upon his privacy, drawing me by the hand, he abruptly entered the arbour, where we found _carneades_, _philoponus_, and _themistius_, sitting close about a little round table, on which besides paper, pen, and inke, there lay two or three open books; _carneades_ appeared not at all troubled at this surprise, but rising from the table, received his friend with open looks and armes, and welcoming me also with his wonted freedom and civility, invited us to rest our selves by him, which, as soon as we had exchanged with his two friends (who were ours also) the civilities accustomed on such occasions, we did. and he presently after we had seated our selves, shutting the books that lay open, and turning to us with a smiling countenance seemed ready to begin some such unconcerning discourse as is wont to pass or rather waste the time in promiscuous companies. but _eleutherius_ guessing at what he meant to do, prevented him by telling him, i perceive _carneades_ by the books that you have been now shutting, and much more by the posture wherein i found persons qualifi'd [errata: so qualify'd] to discourse of serious matters; and so accustom'd to do it, that you three were before our coming, engag'd in some philosophical conference, which i hope you will either prosecute, and allow us to be partakers of, in recompence of the freedome we have us'd in presuming to surprise you, or else give us leave to repair the injury we should otherwise do you, by leaving you to the freedom we have interrupted, and punishing our selves for our boldness by depriving our selves of the happiness of your company. with these last words he and i rose up, as if we meant to be gone, but _carneades_ suddenly laying hold on his arme, and stopping him by it, smileingly told him, we are not so forward to lose good company as you seem to imagine; especially since you are pleas'd to desire to be present at what we shall say, about such a subject as that you found us considering. for that, being the number of the elements, principles, or materiall ingredients of bodies, is an enquiry whose truth is of that importance, and of that difficulty, that it may as well deserve as require to be searched into by such skilfull indagators of nature as your selves. and therefore we sent to invite the bold and acute _leucippus_ to lend us some light by his atomical paradox, upon which we expected such pregnant hints, that 'twas not without a great deal of trouble that we had lately word brought us that he was not to be found; and we had likewise begg'd the assistance of your presence and thoughts, had not the messenger we employ'd to _leucippus_ inform'd us, that as he was going, he saw you both pass by towards another part of the town; and this frustrated expectation of _leucippus_ his company, who told me but last night that he would be ready to give me a meeting where i pleas'd to day, having very long suspended our conference about the freshly mention'd subject, it was so newly begun when you came in, that we shall scarce need to repeat any thing to acquaint you with what has pass'd betwixt us before your arrival, so that i cannot but look upon it as a fortunate accident that you should come so seasonably, to be not hearers alone, but we hope interlocutors at our conference. for we shall not only allow of your presence at it, but desire your assistance in it; which i adde both for other reasons, and because though these learned gentlemen (sayes he, turning to his two friends) need not fear to discourse before any auditory, provided it be intelligent enough to understand them, yet for my part (continues he with a new smile,) i shall not dare to vent my unpremeditated thoughts before two such criticks, unless by promising to take your turnes of speaking, you will allow me mine of quarrelling, with what has been said. he and his friends added divers things to convince us that they were both desirous that we should hear them, and resolved against our doing so, unless we allowed them sometimes to hear us. _elutherius_ [transcriber's note: eleutherius] after having a while fruitlesly endeavoured to obtain leave to be silent promis'd he would not be so alwayes, provided that he were permitted according to the freedom of his genious and principles to side with one of them in the managing of one argument, and, if he saw cause, with his antagonist, in the prosecution of another, without being confin'd to stick to any one party or opinion, which was after some debate accorded him. but i conscious to my own disability's told them resolutely that _i_ was as much more willing as more fit to be a hearer then a speaker, among such knowing persons, and on so abstruse a subject. and that therefore i beseeched them without necessitating me to proclaim my weaknesses, to allow me to lessen them by being a silent auditor of their discourses: to suffer me to be at which i could present them no motive, save that their instructions would make them in me a more intelligent admirer. i added, that i desir'd not to be idle whilst they were imploy'd, but would if they pleas'd, by writing down in short hand what should be delivered, preserve discourses that i knew would merit to be lasting. at first _carneades_ and his two friends utterly rejected this motion; and all that my resoluteness to make use of my ears, not tongue, at their debates, could do, was to make them acquiesce in the proposition of _eleutherius_, who thinking himself concern'd, because he brought me thither, to afford me some faint assistance, was content that i should register their arguments, that i might be the better able after the conclusion of their conference to give them my sence upon the subject of it, (the number of elements or principles:) which he promis'd i should do at the end of the present debates, if time would permit, or else at our next meeting. and this being by him undertaken in my name, though without my consent, the company would by no means receive my protestation against it, but casting, all at once, their eyes on _carneades_, they did by that and their unanimous silence, invite him to begin; which (after a short pause, during which he turn'd himself to _eleutherius_ and me) he did in this manner. notwithstanding the subtile reasonings i have met with in the books of the peripateticks, and the pretty experiments that have been shew'd me in the laboratories of chymists, i am of so diffident, or dull a nature, as to think that if neither of them can bring more cogent arguments to evince the truth of their assertion then are wont to be brought; a man may rationally enough retain some doubts concerning the very number of those materiall ingredients of mixt bodies, which some would have us call elements, and others principles. indeed when i considered that the tenents concerning the elements are as considerable amongst the doctrines of natural philosophy as the elements themselves are among the bodies of the universe, i expected to find those opinions solidly establish'd, upon which so many others are superstructed. but when i took the pains impartially to examine the bodies themselves that are said to result from the blended elements, and to torture them into a confession of their constituent principles, i was quickly induc'd to think that the number of the elements has been contended about by philosophers with more earnestness then success. this unsatisfiedness of mine has been much wonder'd at, by these two gentlemen (at which words he pointed at _themistius_ and _philoponus_) who though they differ almost as much betwixt themselves about the question we are to consider, as i do from either of them, yet they both agree very well in this, that there is a determinate number of such ingredients as i was just now speaking of, and that what that number is, i say not, may be, (for what may not such as they perswade?) but is wont to be clearly enough demonstrated both by reason and experience. this has occasion'd our present conference. for our discourse this afternoon, having fallen from one subject to another, and at length setl'd on this, they proffer'd to demonstrate to me, each of them the truth of his opinion, out of both the topicks that i have freshly nam'd. but on the former (that of reason strictly so taken) we declin'd insisting at the present, lest we should not have time enough before supper to go thorough the reasons and experiments too. the latter of which we unanimously thought the most requisite to be seriously examin'd. i must desire you then to take notice gentlemen (continued _carneades_) that my present business doth not oblige me so to declare my own opinion on the subject in question, as to assert or deny the truth either of the peripatetick, or the chymical doctrine concerning the number of the elements, but only to shew you that neither of these doctrines hath been satisfactorily proved by the arguments commonly alledged on its behalfe. so that if i really discern (as perhaps i think i do) that there may be a more rational account then ordinary, given of one of these opinions, i am left free to declare my self of it, notwithstanding my present engagement, it being obvious to all your observation, that a solid truth may be generally maintained by no other, then incompetent arguments. and to this declaration i hope it will be needless to add, that my task obliges me not to answer the arguments that may be drawn either for _themistius_ or _philoponus's_ opinion from the topick of reason, as opposed to experiments; since 'tis these only that i am to examine and not all these neither, but such of them alone as either of them shall think fit to insist on, and as have hitherto been wont to be brought either to prove that 'tis the four peripatetick elements, or that 'tis the three chymical principles that all compounded bodies consist of. these things (adds _carneades_) i thought my self obliged to premise, partly lest you should do these gentlemen (pointing at _themistius_ and _philoponus_, and smiling on them) the injury of measuring their parts by the arguments they are ready to propose, the lawes of our conference confining them to make use of those that the vulgar of philosophers (for even of them there is a vulgar) has drawn up to their hands; and partly, that you should not condemn me of presumption for disputing against persons over whom i can hope for no advantage, that _i_ must not derive from the nature, or rules of our controversy, wherein i have but a negative to defend, and wherein too i am like on several occasions to have the assistance of one of my disagreeing adversaries against the other. _philoponus_ and _themistius_ soon returned this complement with civilities of the like nature, in which _eleutherius_ perceiving them engaged, to prevent the further loss of that time of which they were not like to have very much to spare, he minded them that their present businesse was not to exchange complements, but arguments: and then addressing his speech to _carneades_, i esteem it no small happinesse (saies he) that i am come here so luckily this evening. for i have been long disquieted with doubts concerning this very subject which you are now ready to debate. and since a question of this importance is to be now discussed by persons that maintain such variety of opinions concerning it, and are both so able to enquire after truth, and so ready to embrace it by whomsoever and on what occasion soever it is presented them; i cannot but promise my self that i shall before we part either lose my doubts or the hopes of ever finding them resolved; _eleutherius_ paused not here; but to prevent their answer, added almost in the same breath; and i am not a little pleased to find that you are resolved on this occasion to insist rather on experiments then syllogismes. for i, and no doubt you, have long observed, that those dialectical subtleties, that the schoolmen too often employ about physiological mysteries, are wont much more to declare the wit of him that uses them, then increase the knowledge or remove the doubts of sober lovers of truth. and such captious subtleties do indeed often puzzle and sometimes silence men, but rarely satisfy them. being like the tricks of jugglers, whereby men doubt not but they are cheated, though oftentimes they cannot declare by what slights they are imposed on. and therefore i think you have done very wisely to make it your businesse to consider the _phænomena_ relating to the present question, which have been afforded by experiments, especially since it might seem injurious to our senses, by whose mediation we acquire so much of the knowledge we have of things corporal, to have recourse to far-fetched and abstracted ratiocination [errata: ratiocinations], to know what are the sensible ingredients of those sensible things that we daily see and handle, and are supposed to have the liberty to untwist (if i may so speak) into the primitive bodies they consist of. he annexed that he wished therefore they would no longer delay his expected satisfaction, if they had not, as he feared they had, forgotten something preparatory to their debate; and that was to lay down what should be all along understood by the word principle or element. _carneades_ thank'd him for his admonition, but told him that they had not been unmindful of so requisite a thing. but that being gentlemen and very far from the litigious humour of loving to wrangle about words or terms or notions as empty; they had before his coming in, readily agreed promiscuously to use when they pleased, elements and principles as terms equivalent: and to understand both by the one and the other, those primitive and simple bodies of which the mixt ones are said to be composed, and into which they are ultimately resolved. and upon the same account (he added) we agreed to discourse of the opinions to be debated, as we have found them maintained by the generality of the assertors of the four elements of the one party, and of those that receive the three principles on the other, without tying our selves to enquire scrupulously what notion either _aristotle_ or _paracelsus_, or this or that interpreter, or follower of either of those great persons, framed of elements or principles; our design being to examine, not what these or those writers thought or taught, but what we find to be the obvious and most general opinion of those, who are willing to be accounted favourers of the peripatetick or chymical doctrine, concerning this subject. i see not (saies _eleutherius_) why you might not immediately begin to argue, if you were but agreed which of your two friendly adversaries shall be first heard. and it being quickly resolv'd on that _themistius_ should first propose the proofs for his opinion, because it was the antienter, and the more general, he made not the company expect long before he thus addressed himself to _eleutherius_, as to the person least interessed in the dispute. if you have taken sufficient notice of the late confession which was made by _carneades_, and which (though his civility dressed it up in complementall expressions) was exacted of him by his justice, i suppose you will be easily made sensible, that i engage in this controversie with great and peculiar disadvantages, besides those which his parts and my personal disabilities would bring to any other cause to be maintained by me against him. for he justly apprehending the force of truth, though speaking by no better a tongue then mine, has made it the chief condition of our duell, that i should lay aside the best weapons i have, and those i can best handle; whereas if i were allowed the freedom, in pleading for the four elements, to employ the arguments suggested to me by reason to demonstrate them, i should almost as little doubt of making you a proselyte to those unsever'd teachers, truth and _aristotle_, as i do of your candour and your judgment. and i hope you will however consider, that that great favorite and interpreter of nature, _aristotle_, who was (as his _organum_ witnesses) the greatest master of logick that ever liv'd, disclaim'd the course taken by other petty philosophers (antient and modern) who not attending the coherence and consequences of their opinions, are more sollicitous to make each particular opinion plausible independently upon the the [transcriber's note: extra "the" in original] rest, then to frame them all so, as not only to be consistent together, but to support each other. for that great man in his vast and comprehensive intellect, so fram'd each of his notions, that being curiously adapted into one systeme, they need not each of them any other defence then that which their mutuall coherence gives them: as 'tis in an arch, where each single stone, which if sever'd from the rest would be perhaps defenceless, is sufficiently secur'd by the solidity and entireness of the whole fabrick of which it is a part. how justly this may be apply'd to the present case, i could easily shew you, if i were permitted to declare to you, how harmonious _aristotles_ doctrine of the elements is with his other principles of philosophy; and how rationally he has deduc'd their number from that of the combinations of the four first qualities from the kinds of simple motion belonging to simple bodies, and from i know not how many other principles and _phænomena_ of nature, which so conspire with his doctrine of the elements, that they mutually strengthen and support each other. but since 'tis forbidden me to insist on reflections of this kind, i must proceed to tell you, that though the assertors of the four elements value reason so highly, and are furnish'd with arguments enough drawn from thence, to be satisfi'd that there must be four elements, though no man had ever yet made any sensible tryal to discover their number, yet they are not destitute of experience to satisfie others that are wont to be more sway'd by their senses then their reason. and i shall proceed to consider the testimony of experience, when i shall have first advertis'd you, that if men were as perfectly rational as 'tis to be wish'd they were, this sensible way of probation would be as needless as 'tis wont to be imperfect. for it is much more high and philosophical to discover things _a priore_, then _a posteriore_. and therefore the peripateticks have not been very sollicitous to gather experiments to prove their doctrines, contenting themselves with a few only, to satisfie those that are not capable of a nobler conviction. and indeed they employ experiments rather to illustrate then to demonstrate their doctrines, as astronomers use sphæres of pastboard, to descend to the capacities of such as must be taught by their senses, for want of being arriv'd to a clear apprehension of purely mathematical notions and truths. i speak thus _eleutherius_ (adds _themistius_) only to do right to reason, and not out of diffidence of the experimental proof i am to alledge. for though i shall name but one, yet it is such a one as will make all other appear as needless as it self will be found satisfactory. for if you but consider a piece of green-wood burning in a chimney, you will readily discern in the disbanded parts of it the four elements, of which we teach it and other mixt bodies to be compos'd. the fire discovers it self in the flame by its own light; the smoke by ascending to the top of the chimney, and there readily vanishing into air, like a river losing it self in the sea, sufficiently manifests to what element it belongs and gladly returnes. the water in its own form boyling and hissing at the ends of the burning wood betrayes it self to more then one of our senses; and the ashes by their weight, their firiness, and their dryness, put it past doubt that they belong to the element of earth. if i spoke (continues _themistius_) to less knowing persons, i would perhaps make some excuse for building upon such an obvious and easie _analysis_, but 'twould be, i fear, injurious, not to think such an apology needless to you, who are too judicious either to think it necessary that experiments to prove obvious truths should be farr fetch'd, or to wonder that among so many mixt bodies that are compounded of the four elements, some of them should upon a slight _analysis_ manifestly exhibite the ingredients they consist of. especially since it is very agreeable to the goodness of nature, to disclose, even in some of the most obvious experiments that men make, a truth so important, and so requisite to be taken notice of by them. besides that our _analysis_ by how much the more obvious we make it, by so much the more suittable it will be to the nature of that doctrine which 'tis alledged to prove, which being as clear and intelligible to the understanding as obvious to the sense, tis no marvail the learned part of mankind should so long and so generally imbrace it. for this doctrine is very different from the whimseys of _chymists_ and other modern innovators, of whose _hypotheses_ we may observe, as naturalists do of less perfect animals, that as they are hastily form'd, so they are commonly short liv'd. for so these, as they are often fram'd in one week, are perhaps thought fit to be laughed at the next; and being built perchance but upon two or three experiments are destroyed by a third or fourth, whereas the doctrine of the four elements was fram'd by _aristotle_ after he had leasurely considered those theories of former philosophers, which are now with great applause revived, as discovered by these latter ages; and had so judiciously detected and supplyed the errors and defects of former _hypotheses_ concerning the elements, that his doctrine of them has been ever since deservedly embraced by the letter'd part of mankind: all the philosophers that preceded him having in their several ages contributed to the compleatness of this doctrine, as those of succeeding times have acquiesc'd in it. nor has an _hypothesis_ so deliberately and maturely established been called in question till in the last century _paracelsus_ and some few other sooty empiricks, rather then (as they are fain to call themselves) philosophers, having their eyes darken'd, and their brains troubl'd with the smoke of their own furnaces, began to rail at the peripatetick doctrine, which they were too illiterate to understand, and to tell the credulous world, that they could see but three ingredients in mixt bodies; which to gain themselves the repute of inventors, they endeavoured to disguise by calling them, instead of earth, and fire, and vapour, salt, sulphur, and mercury; to which they gave the canting title of hypostatical principles: but when they came to describe them, they shewed how little they understood what they meant by them, by disagreeing as much from one another, as from the truth they agreed in opposing: for they deliver their _hypotheses_ as darkly as their processes; and 'tis almost as impossible for any sober man to find their meaning, as 'tis for them to find their elixir. and indeed nothing has spread their philosophy, but their great brags and undertakings; notwithstanding all which, (sayes _themistius_ smiling) i scarce know any thing they have performed worth wondering at, save that they have been able to draw _philoponus_ to their party, and to engage him to the defence of an unintelligible _hypothesis_, who knowes so well as he does, that principles ought to be like diamonds, as well very clear, as perfectly solid. _themistius_ having after these last words declared by his silence, that he had finished his discourse, _carneades_ addressing himself, as his adversary had done, to _eleutherius_, returned this answer to it, i hop'd for [errata: for a] demonstration, but i perceive _themistius_ hopes to put me off with a harangue, wherein he cannot have given me a greater opinion of his parts, then he has given me distrust for his _hypothesis_, since for it even a man of such learning can bring no better arguments. the rhetorical part of his discourse, though it make not the least part of it, i shall say nothing to, designing to examine only the argumentative part, and leaving it to _philoponus_ to answer those passages wherein either _paracelsus_ or _chymists_ are concern'd: i shall observe to you, that in what he has said besides, he makes it his business to do these two things. the one to propose and make out an experiment to demonstrate the common opinion about the four elements; and the other, to insinuate divers things which he thinks may repair the weakness of his argument, from experience, and upon other accounts bring some credit to the otherwise defenceless doctrine he maintains. to begin then with his experiment of the burning wood, it seems to me to be obnoxious to not a few considerable exceptions. and first, if i would now deal rigidly with my adversary, i might here make a great question of the very way of probation which he and others employ, without the least scruple, to evince, that the bodies commonly call'd mixt, are made up of earth, air, water, and fire, which they are pleas'd also to call elements; namely that upon the suppos'd _analysis_ made by the fire, of the former sort of _concretes_, there are wont to emerge bodies resembling those which they take for the elements. for not to anticipate here what i foresee i shall have occasion to insist on, when i come to discourse with _philoponus_ concerning the right that fire has to pass for the proper and universal instrument of analysing mixt bodies, not to anticipate that, i say, if i were dispos'd to wrangle, i might alledge, that by _themistius_ his experiment it would appear rather that those he calls elements, are made of those he calls mixt bodies, then mix'd bodies of the elements. for in _themistius's_ analyz'd wood, and in other bodies dissipated and alter'd by the fire, it appears, and he confesses, that which he takes for elementary fire and water, are made out of the concrete; but it appears not that the concrete was made up of fire and water. nor has either he, or any man, for ought i know, of his perswasion, yet prov'd that nothing can be obtained from a body by the fire that was not _pre-existent_ in it. at this unexpected objection, not only _themistius_, but the rest of the company appear'd not a little surpriz'd; but after a while _philoponus_ conceiving his opinion, as well as that of _aristotle_, concern'd in that objection, you cannot sure (sayes he to _carneades_) propose this difficulty; not to call it cavill, otherwise then as an exercise of wit, and not as laying any weight upon it. for how can that be separated from a thing that was not existent in it. when, for instance, a refiner mingles gold and lead, and exposing this mixture upon a cuppell to the violence of the fire, thereby separates it into pure and refulgent gold and lead (which driven off together with the dross of the gold is thence call'd _lithargyrium auri_) can any man doubt that sees these two so differing substances separated from the mass, that they were existent in it before it was committed to the fire. i should (replies _carneades_) allow your argument to prove something, if, as men see the refiners commonly take before hand both lead and gold to make the mass you speak of, so we did see nature pull down a parcell of the element of fire, that is fancy'd to be plac'd i know not how many thousand leagues off, contiguous to the orb of the moon, and to blend it with a quantity of each of the three other elements, to compose every mixt body, upon whose resolution the fire presents us with fire, and earth, and the rest. and let me add, _philoponus_, that to make your reasoning cogent, it must be first prov'd, that the fire do's only take the elementary ingredients asunder, without otherwise altering them. for else 'tis obvious, that bodies may afford substances which were not pre-existent in them; as flesh too long kept produces magots, and old cheese mites, which i suppose you will not affirm to be ingredients of those bodies. now that fire do's not alwayes barely separate the elementary parts, but sometimes at least alter also the ingredients of bodies, if i did not expect ere long a better occasion to prove it, i might make probable out of your very instance, wherein there is nothing elementary separated by the great violence of the refiners fire: the gold and lead which are the two ingredients separated upon the _analysis_ being confessedly yet perfectly mixt bodies, and the litharge being lead indeed; but such lead as is differing in consistence and other qualities from what it was before. to which i must add that i have sometimes seen, and so questionlesse have you much oftener, some parcells of glasse adhering to the test or cuppel, and this glass though emergent as well as the gold or litharge upon your analysis, you will not i hope allow to have been a third ingredient of the mass out of which the fire produc'd it. both _philoponus_ and _themistius_ were about to reply, when _eleutherius_ apprehending that the prosecution of this dispute would take up time, which might be better employ'd, thought fit to prevent them by saying to _carneades_: you made at least half a promise, when you first propos'd this objection, that you would not (now at least) insist on it, nor indeed does it seem to be of absolute necessity to your cause, that you should. for though you should grant that there are elements, it would not follow that there must be precisely four. and therefore i hope you will proceed to acquaint us with your other and more considerable objections against _themistius's_ opinion, especially since there is so great a disproportion in bulke betwixt the earth, water and air, on the one part, and those little parcells of resembling substances, that the fire separates from _concretes_ on the other part, that i can scarce think that you are serious, when to lose no advantage against your adversary, you seem to deny it to be rational, to conclude these great simple bodies to be the elements, and not the products of compounded ones. what you alledge (replies _carneades_) of the vastness of the earth and water, has long since made me willing to allow them to be the greatest and chief masses of matter to be met with here below: but i think i could shew you, if you would give me leave, that this will prove only that the elements, as you call them, are the chief bodies that make up the neighbouring part of the world, but not that they are such ingredients as every mixt body must consist of. but since you challenge me of something of a promise, though it be not an entire one, yet i shall willingly perform it. and indeed i intended not when i first mention'd this objection, to insist on it at present against _themistius_, (as i plainly intimated in my way of proposing it:) being only desirous to let you see, that though i discern'd my advantages, yet i was willing to forego some of them, rather then appear a rigid adversary of a cause so weak, that it may with safety be favourably dealt with. but i must here profess, and desire you to take notice of it, that though i pass on to another argument, it is not because i think this first invalid. for you will find in the progress of our dispute, that i had some reason to question the very way of probation imploy'd both by peripateticks and chymists, to evince the being and number of the elements. for that there are such, and that they are wont to be separated by the analysis made by fire, is indeed taken for granted by both parties, but has not (for ought i know) been so much as plausibly attempted to be proved by either. hoping then that when we come to that part of our debate, wherein considerations relating to this matter are to be treated of, you will remember what i have now said, and that i do rather for a while suppose, then absolutely grant the truth of what i have question'd, i will proceed to another objection. and hereupon _eleutherius_ having promis'd him not to be unmindfull, when time should serve, of what he had declar'd. i consider then (sayes _carneades_) in the next place, that there are divers bodies out of which _themistius_ will not prove in haste, that there can be so many elements as four extracted by the fire. and i should perchance trouble him if i should ask him what peripatetick can shew us, (i say not, all the four elements, for that would be too rigid a question, but) any one of them extracted out of gold by any degree of fire whatsoever. nor is gold the only bodie in nature that would puzzle an _aristotelian_, that is no more [errata: (that is no more)] to analyze by the fire into elementary bodies, since, for ought i have yet observ'd, both silver and calcin'd _venetian_ talck, and some other concretes, not necessary here to be nam'd, are so fixt, that to reduce any of them into four heterogeneous substances has hitherto prov'd a task much too hard, not only for the disciples of _aristotle_, but those of _vulcan_, at least, whilst the latter have employ'd only fire to make the _analysis_. the next argument (continues _carneades_) that i shall urge against _themistius's_ opinion shall be this, that as there are divers bodies whose _analysis_ by fire cannot reduce them into so many heterogeneous substances or ingregredients [transcriber's note: ingredients] as four, so there are others which may be reduc'd into more, as the blood (and divers other parts) of men and other animals, which yield when analyz'd five distinct substances, phlegme, spirit, oyle, salt and earth, as experience has shewn us in distilling mans blood, harts-horns, and divers other bodies that belonging to the animal-kingdom abound with not uneasily sequestrable salt. the sceptical chymist: or chymico-physical doubts & paradoxes, touching the experiments whereby vulgar spagyrists are wont to endeavour to evince their salt, sulphur and mercury, to be the true principles of things. _utinam jam tenerentur omnia, & inoperta ac confessa veritas esset! nihil ex decretis mutaremus. nunc veritatem cum eis qui docent, quærimus._ sen. _london,_ printed for _j. crooke_, and are to be sold at the ship in st. _pauls_ church-yard. . the sceptical chymist. _the first part._ i am (sayes _carneades_) so unwilling to deny _eleutherius_ any thing, that though, before the rest of the company i am resolv'd to make good the part i have undertaken of a sceptick; yet i shall readily, since you will have it so, lay aside for a while the person of an adversary to the peripateticks and chymists; and before i acquaint you with my objections against their opinions, acknowledge to you what may be (whether truly or not) tollerably enough added, in favour of a certain number of principles of mixt bodies, to that grand and known argument from the _analysis_ of compound bodies, which i may possibly hereafter be able to confute. and that you may the more easily examine, and the better judge of what i have to say, i shall cast it into a pretty number of distinct propositions, to which i shall not premise any thing; because i take it for granted, that you need not be advertis'd, that much of what i am to deliver, whether for or against a determinate number of ingredients of mix'd bodies, may be indifferently apply'd to the four peripatetick elements, and the three chymical principles, though divers of my objections will more peculiarly belong to these last nam'd, because the chymical _hypothesis_ seeming to be much more countenanc'd by experience then the other, it will be expedient to insist chiefly upon the disproving of that; especially since most of the arguments that are imploy'd against it, may, by a little variation, be made to conclude, at least as strongly against the less plausible, _aristotelian_ doctrine. to proceed then to my propositions, i shall begin with this. that [sidenote: propos. i.] _it seems not absurd to conceive that at the first production of mixt bodies, the universal matter whereof they among other parts of the universe consisted, was actually divided into little particles of several sizes and shapes variously mov'd._ this (sayes _carneades_) i suppose you will easily enough allow. for besides that which happens in the generation, corruption, nutrition, and wasting of bodies, that which we discover partly by our _microscopes_ of the extream littlenesse of even the scarce sensible parts of concretes; and partly by the chymical resolutions of mixt bodies, and by divers other operations of spagyrical fires upon them, seems sufficiently to manifest their consisting of parts very minute and of differing figures. and that there does also intervene a various local motion of such small bodies, will scarce be denied; whether we chuse to grant the origine of concretions assign'd by _epicurus_, or that related by _moses_. for the first, as you well know, supposes not only all mixt bodies, but all others to be produc'd by the various and casual occursions of atomes, moving themselves to and fro by an internal principle in the immense or rather infinite _vacuum_. and as for the inspir'd historian, he, informing us that the great and wise author of things did not immediately create plants, beasts, birds, &c. but produc'd them out of those portions of the pre-existent, though created, matter, that he calls water and earth, allows us to conceive, that the constituent particles whereof these new concretes were to consist, were variously moved in order to their being connected into the bodies they were, by their various coalitions and textures, to compose. but (continues _carneades_) presuming that the first proposition needs not be longer insisted on, i will pass on to the second, and tell you that [sidenote: propos. ii.] _neither is it impossible that of these minute particles divers of the smallest and neighbouring ones were here and there associated into minute masses or clusters, and did by their coalitions constitute great store of such little primary concretions or masses as were not easily dissipable into such particles as compos'd them._ to what may be deduc'd, in favour of this assertion, from the nature of the thing it self, i will add something out of experience, which though i have not known it used to such a purpose, seems to me more fairly to make out that there may be elementary bodies, then the more questionable experiments of peripateticks and chymists prove that there are such. i consider then that gold will mix and be colliquated not only with silver, copper, tin and lead, but with antimony, _regulus martis_ and many other minerals, with which it will compose bodies very differing both from gold, and the other ingredients of the resulting concretes. and the same gold will also by common _aqua regis_, and (i speak it knowingly) by divers other _menstruums_ be reduc'd into a seeming liquor, in so much that the corpuscles of gold will, with those of the _menstruum_, pass through cap-paper, and with them also coagulate into a crystalline salt. and i have further try'd, that with a small quantity of a certain saline substance i prepar'd, i can easily enough sublime gold into the form of red crystalls of a considerable length; and many other wayes may gold be disguis'd, and help to constitute bodies of very differing natures both from it and from one another, and neverthelesse be afterward reduc'd to the self-same numerical, yellow, fixt, ponderous and malleable gold it was before its commixture. nor is it only the fixedst of metals, but the most fugitive, that i may employ in favour of our proposition: for quicksilver will with divers metals compose an _amalgam_, with divers _menstruums_ it seems to be turn'd into a liquor, with _aqua fortis_ will be brought into either a red or white powder or precipitate, with oyl of vitriol into a pale yellow one, with sulphur it will compose a blood-red and volatile cinaber, with some saline bodies it will ascend in form of a salt which will be dissoluble in water; with _regulus_ of antimony and silver i have seen it sublim'd into a kinde of crystals, with another mixture i reduc'd it into a malleable body, into a hard and brittle substance by another: and some there are who affirm, that by proper additaments they can reduce quicksilver into oyl, nay into glass, to mention no more. and yet out of all these exotick compounds, we may recover the very same running mercury that was the main ingredient of them, and was so disguis'd in them. now the reason (proceeds _carneades_) that i have represented these things concerning gold and quicksilver, is, that it may not appear absurd to conceive, that such little primary masses or clusters, as our proposition mentions, may remain undissipated, notwithstanding their entring into the composition of various concretions, since the corpuscle of gold and mercury, though they be not primary concretions of the most minute particles or matter, but confessedly mixt bodies, are able to concurre plentifully to the composition of several very differing bodies, without losing their own nature or texture, or having their cohæsion violated by the divorce of their associated parts or ingredients. give me leave to add (sayes _eleutherius_) on this occasion, to what you now observ'd, that as confidently as some chymists, and other modern innovators in philosophy are wont to object against the peripateticks, that from the mixture of their four elements there could arise but an inconsiderable variety of compound bodies; yet if the _aristotelians_ were but half as well vers'd in the works of nature as they are in the writings of their master, the propos'd objection would not so calmly triumph, as for want of experiments they are fain to suffer it to do. for if we assigne to the corpuscles, whereof each element consists, a peculiar size and shape, it may easily enough be manifested, that such differingly figur'd corpuscles may be mingled in such various proportions, and may be connected so many several wayes, that an almost incredible number of variously qualified concretes may be compos'd of them. especially since the corpuscles of one element may barely, by being associated among themselves, make up little masses of differing size and figure from their constituent parts: and since also to the strict union of such minute bodies there seems oftentimes nothing requisite, besides the bare contact of a great part of their surfaces. and how great a variety of _phænomena_ the same matter, without the addition of any other, and only several ways dispos'd or contexed, is able to exhibit, may partly appear by the multitude of differing engins which by the contrivances of skilful mechanitians, and the dexterity of expert workmen, may be made of iron alone. but in our present case being allow'd to deduce compound bodies from four very differently qualified sorts of matter, he who shall but consider what you freshly took notice of concerning the new concretes resulting from the mixture of incorporated minerals, will scarce doubt but that the four elements mannag'd by natures skill may afford a multitude of differing compounds. i am thus far of your minde (sayes _carneades_) that the _aristotelians_ might with probability deduce a much greater number of compound bodies from the mixture of their four elements, than according to their present _hypothesis_ they can, if instead of vainly attempting to deduce the variety and properties of all mixt bodies from the combinations and temperaments of the four elements, as they are (among them) endowd with the four first qualities, they had endeavoured to do it by the bulk and figure of the smallest parts of those supposed elements. for from these more catholick and fruitfull accidents of the elementary matter may spring a great variety of textures, upon whose account a multitude of compound bodies may very much differ from one another. and what i now observe touching the four peripatetick elements, may be also applyed, _mutatis mutandis_, (as they speak) to the chymical principles. but (to take notice of that by the by) both the one and the other, must, i fear, call in to their assistance something that is not elementary, to excite or regulate the motion of the parts of the matter, and dispose them after the manner requisite to the constitution of particular concretes. for that otherwise they are like to give us but a very imperfect account of the origine of very many mixt bodies, it would, i think, be no hard matter to perswade you, if it would not spend time, and were no digression, to examine, what they are wont to alledge of the origine of the textures and qualities of mixt bodies, from a certain substantial form, whose origination they leave more obscure than what it is assum'd to explicate. but to proceed to a new proposition. [sidenote: propos. iii.] _i shall not peremptorily deny, that from most of such mixt bodies as partake either of animal or vegetable nature, there may by the help of the fire, be actually obtain'd a determinate number (whether three, four or five, or fewer or more) of substances, worthy of differing denominations._ of the experiments that induce me to make this concession, i am like to have occasion enough to mention several in the prosecution of my discourse. and therefore, that i may not hereafter be oblig'd to trouble you and my self with needless repetitions, i shall now only desire you to take notice of such experiments, when they shall be mention'd, and in your thoughts referre them hither. to these three concessions i have but this fourth to add, that [sidenote: propos. iv.] _it may likewise be granted, that those distinct substances, which concretes generally either afford or are made up of, may without very much inconvenience be call'd the elements or principles of them._ when i said, _without very much inconvenience_, i had in my thoughts that sober admonition of _galen_, _cum de re constat, de verbis non est litigandum_. and therefore also i scruple not to say _elements_ or _principles_, partly because the chymists are wont to call the ingredients of mixt bodies, _principles_, as the _aristotelians_ name them _elements_; i would here exclude neither. and, partly, because it seems doubtfull whether the same ingredients may not be call'd _principles_? as not being compounded of any more primary bodies: and _elements_, in regard that all mix'd bodies are compounded of them. but i thought it requisite to limit my concession by premising the words, _very much_, to the word _inconvenience_, because that though the inconvenience of calling the distinct substances, mention'd in the proposition _elements_ or _principles_, be not very great, yet that it is an impropriety of speech, and consequently in a matter of this moment not to be altogether overlook'd, you will perhaps think, as well as i, by that time you shall have heard the following part of my discourse, by which you will best discern what construction to put upon the former propositions, and how far they may be look'd upon, as things that i concede as true, and how far as things i only represent as specious enough to be fit to be consider'd. and now _eleutherius_ (continues _carneades_) i must resume the person of a sceptick, and as such, propose some part of what may be either dislik't, or at least doubted of in the common _hypothesis_ of the chymists: which if i examine with a little the more freedom, i hope i need not desire you (a person to whom i have the happinesse of being so well known) to look upon it as something more suitable to the employment whereto the company has, for this meeting, doom'd me; then either to my humour or my custom. now though i might present you many things against the vulgar chymical opinion of the three principles, and the experiments wont to be alledg'd as demonstrations of it, yet those i shall at present offer you may be conveniently enough comprehended in four capital considerations; touching all which i shall only premise this in general, that since it is not my present task so much to assert an _hypothesis_ of my own, as to give an account wherefore i suspect the truth of that of the chymists, it ought not to be expected that all my objections should be of the most cogent sort, since it is reason enough to doubt of a propos'd opinion, that there appears no cogent reason for it. to come then to the objections themselves; i consider in the first place, that notwithstanding what common chymists have prov'd or taught, it may reasonably enough be doubted, how far, and in what sence, fire ought to be esteem'd the genuine and universal instrument of analyzing mixt bodies. this doubt, you may remember, was formerly mention'd, but so transiently discours'd of, that it will now be fit to insist upon it; and manifest that it was not so inconsiderately propos'd as our adversaries then imagin'd. but, before i enter any farther into this disquisition, i cannot but here take notice, that it were to be wish'd, our chymists had clearly inform'd us what kinde of division of bodies by fire must determine the number of the elements: for it is nothing near so easy as many seem to think, to determine distinctly the effects of heat, as i could easily manifest, if i had leasure to shew you how much the operations of fire may be diversify'd by circumstances. but not wholly to pass by a matter of this importance, i will first take notice to you, that _guajacum_ (for instance) burnt with an open fire in a chimney, is sequestred into ashes and soot, whereas the same wood distill'd in a retort does yield far other heterogeneities, (to use the _helmontian_ expression) and is resolv'd into oyl, spirit, vinager, water and charcoal; the last of which to be reduc'd into ashes, requires the being farther calcin'd then it can be in a close vessel: besides having kindled amber, and held a clean silver spoon, or some other concave and smooth vessel over the smoak of its flame, i observ'd the soot into which that fume condens'd, to be very differing from any thing that i had observ'd to proceed from the steam of amber purposely (for that is not usual) distilled _per se_ in close vessels. thus having, for tryals sake, kindled camphire, and catcht the smoak that copiously ascended out of the flame, it condens'd into a black and unctuous soot, which would not have been guess'd by the smell or other properties to have proceeded from camphire: whereas having (as i shall otherwhere more fully declare) expos'd a quantity of that fugitive concrete to a gentle heat in a close glass-vessel, it sublim'd up without seeming to have lost any thing of its whiteness, or its nature, both which it retain'd, though afterwards i so encreased the fire as to bring it to fusion. and, besides camphire, there are divers other bodies (that i elsewhere name) in which the heat in close vessels is not wont to make any separation of heterogeneities, but only a comminution of parts, those that rise first being homogeneal with the others, though subdivided into smaller particles: whence sublimations have been stiled, _the pestles of the chymists_. but not here to mention what i elsewhere take notice of, concerning common brimstone once or twice sublim'd, that expos'd to a moderate fire in subliming-pots, it rises all into dry, and almost tastless, flowers; whereas being expos'd to a naked fire it affords store of a saline and fretting liquor: not to mention this, i say, i will further observe to you, that as it is considerable in the _analysis_ of mixt bodies, whether the fire act on them when they are expos'd to the open air, or shut up in close vessels, so is the degree of fire by which the _analysis_ is attempted of no small moment. for a milde _balneum_ will sever unfermented blood (for instance) but into phlegme and _caput mortuum_, the later whereof (which i have sometimes had) hard, brittle, and of divers colours, (transparent almost like tortoise-shell) press'd by a good fire in a retort yields a spirit, an oyl or two, and a volatile salt, besides a [errata: another] _caput mortuum_. it may be also pertinent to our present designe, to take notice of what happens in the making and distilling of sope; for by one degree of fire the salt, the water and the oyl or grease, whereof that factitious concrete is made up, being boyl'd up together are easily brought to mingle and incorporate into one mass; but by another and further degree of heat the same mass may be again divided into an oleagenous, an aqueous, a saline, and an earthy part. and so we may observe that impure silver and lead being expos'd together to a moderate fire, will thereby be colliquated into one mass, and mingle _per minima_, as they speak, whereas a much vehementer fire will drive or carry off the baser metals (i mean the lead, and the copper or other alloy) from the silver, though not, for ought appears, separate them from one another. besides, when a vegetable abounding in fixt salt is analyz'd by a naked fire, as one degree of heat will reduce it into ashes, (as the chymists themselves teach us) so, by only a further degree of fire, those ashes may be vitrified and turn'd into glass. i will not stay to examine how far a meere chymist might on this occasion demand, if it be lawful for an _aristotelian_ to make ashes, (which he mistakes for meere earth) pass for an element, because by one degree of fire it may be produc'd, why a chymist may not upon the like principle argue, that glass is one of the elements of many bodies, because that also may be obtain'd from them, barely by the fire? i will not, i say, lose time to examine this, but observe, that by a method of applying the fire, such similar bodies may be obtain'd from a concrete, as chymists have not been able to separate; either by barely burning it in an open fire, or by barely distilling it in close vessels. for to me it seems very considerable, and i wonder that men have taken so little notice of it, that i have not by any of the common wayes of distillation in close vessels, seen any separation made of such a volatile salt as is afforded us by wood, when that is first by an open fire divided into ashes and soot, and that soot is afterwards plac'd in a strong retort, and compell'd by an urgent fire to part with its spirit, oyl and salt; for though i dare not peremptorily deny, that in the liquors of _guajacum_ and other woods distill'd in retorts after the common manner, there may be saline parts, which by reason of the analogy may pretend to the name of some kinde of volatile salts; yet questionless there is a great disparity betwixt such salts and that which we have sometimes obtain'd upon the first distillation of soot (though for the most part it has not been separated from the first or second rectification, and sometimes not till the third) for we could never yet see separated from woods analyz'd only the vulgar way in close vessels any volatile salt in a dry and saline form, as that of soot, which we have often had very crystalline and geometrically figur'd. and then, whereas the saline parts of the spirits of _guajacum_, &c. appear upon distillation sluggish enough, the salt of soot seems to be one of the most volatile bodies in all nature; and if it be well made will readily ascend with the milde heat of a furnace, warm'd only by the single wieck of a lamp, to the top of the highest glass vessels that are commonly made use of for distillation: and besides all this, the taste and smell of the salt of soot are exceeding differing from those of the spirits of _guajacum_, &c. and the former not only smells and tastes much less like a vegetable salt, than like that of harts-horn, and other animal concretes; but in divers other properties seems more of kinne to the family of animals, than to that of vegetable salts, as i may elsewhere (god permitting) have an occasion more particularly to declare. i might likewise by some other examples manifest, that the chymists, to have dealt clearly, ought to have more explicitly and particularly declar'd by what degree of fire, and in what manner of application of it, they would have us judge a division made by the fire to be a true _analysis_ into their principles, and the productions of it to deserve the name of elementary bodies. but it is time that i proceed to mention the particular reasons that incline me to doubt, whether the fire be the true and universal analyzer of mixt bodies; of which reasons what has been already objected may pass for one. in the next place i observe, that there are some mixt bodies from which it has not been yet made appear, that any degree of fire can separate either salt or sulphur or mercury, much less all the three. the most obvious instance of this truth is gold, which is a body so fix'd, and wherein the elementary ingredients (if it have any) are so firmly united to each other, that we finde not in the operations wherein gold is expos'd to the fire, how violent soever, that it does discernably so much as lose of its fixednesse or weight, so far is it from being dissipated into those principles, whereof one at least is acknowledged to be fugitive enough; and so justly did the spagyricall poet somewhere exclaim, _cuncta adeo miris illic compagibus harent._ and i must not omit on this occasion to mention to you, _eleutherius_, the memorable experiment that i remember i met with in _gasto claveus_,[ ] who, though a lawyer by profession, seems to have had no small curiosity and experience in chymical affairs: he relates then, that having put into one small earthen vessel an ounce of the most pure gold, and into another the like weight of pure silver, he plac'd them both in that part of a glass-house furnace wherein the workmen keep their metal, (as our english artificers call their liquid glass) continually melted, and that having there kept both the gold and the silver in constant fusion for two moneths together, he afterwards took them out of the furnace and the vessels, and weighing both of them again, found that the silver had not lost above a th part of its weight, but the gold had not of his lost any thing at all. and though our author endeavours to give us of this a scholastick reason, which i suppose you would be as little satisfied with, as i was when i read it; yet for the matter of fact, which will serve our present turne, he assures us, that though it be strange, yet experience it self taught it him to be most true. [footnote : _gasto claveus_ apolog. argur. & chrysopera.] and though there be not perhaps any other body to be found so perfectly fix'd as gold, yet there are divers others so fix'd or compos'd, at least of so strictly united parts, that i have not yet observ'd the fire to separate from them any one of the chymists principles. i need not tell you what complaints the more candid and judicious of the chymists themselves are wont to make of those boasters that confidently pretend, that they have extracted the salt or sulphur of quicksilver, when they have disguis'd it by additaments, wherewith it resembles the concretes whose names are given it; whereas by a skilful and rigid _examen_, it may be easily enough stript of its disguises, and made to appear again in the pristine form of running mercury. the pretended salts and sulphurs being so far from being elementary parts extracted out of the bodie of mercurie, that they are rather (to borrow a terme of the grammarians) de-compound bodies, made up of the whole metal and the _menstruum_ or other additaments imploy'd to disguise it. and as for silver, i never could see any degree of fire make it part with any of its three principles. and though the experiment lately mentioned from _claveus_ may beget a suspition that silver may be dissipated by fire, provided it be extreamly violent and very lasting: yet it will not necessarily follow, that because the fire was able at length to make the silver lose a little of its weight, it was therefore able to dissipate it into its principles. for first i might alledge that i have observ'd little grains of silver to lie hid in the small cavities (perhaps glas'd over by a vitrifying heat) in crucibles, wherein silver has been long kept in fusion, whence some goldsmiths of my acquaintance make a benefit by grinding such crucibles to powder, to recover out of them the latent particles of silver. and hence i might argue, that perhaps _claveus_ was mistaken, and imagin'd that silver to have been driven away by the fire, that indeed lay in minute parts hid in his crucible, in whose pores so small a quantity as he mist of so ponderous a bodie might very well lie conceal'd. but secondly, admitting that some parts of the silver were driven away by the violence of the fire, what proof is there that it was either the salt, the sulphur, or the mercury of the metal, and not rather a part of it homogeneous to what remain'd? for besides, that the silver that was left seem'd not sensibly alter'd, which probably would have appear'd, had so much of any one of its principles been separated from it: we finde in other mineral bodies of a less permanent nature than silver, that the fire may divide them into such minute parts, as to be able to carry them away with its self, without at all destroying their nature. thus we see that in the refining of silver, the lead that is mix'd with it (to carry away the copper or other ignoble mineral that embases the silver) will, if it be let alone, in time evaporate away upon the test; but if (as is most usual amongst those that refine great quantities of metals together) the lead be blown off from the silver by bellowes, that which would else have gone away in the form of unheeded steams, will in great part be collected not far from the silver, in the form of a darkish powder or calx, which, because it is blown off from silver, they call litharge of silver. and thus _agricola_[ ] in divers places informs us, when copper, or the oare of it is colliquated by the violence of the fire with _cadmia_, the sparks that in great multitudes do fly upwards do, some of them, stick to the vaulted roofs of the furnaces, in the form of little and (for the most part) white bubbles, which therefore the greeks, and, in imitation of them, our drugsters call _pompholix_: and others more heavy partly adhere to the sides of the furnace, and partly (especially if the covers be not kept upon the pots) fall to the ground, and by reason of their ashy colour as well as weight were called by the same greeks [greek: spodos], which, i need not tell you, in their language signifies ashes. i might add, that i have not found that from venetian talck (i say venetian, because i have found other kinds of that mineral more open) from the _lapis ossifragus_, (which the shops call _ostiocolla_) from _muscovia_ glass, from pure and fusible sand, to mention now no other concretes; those of my acquaintance that have try'd have been able by the fire to separate any one of the hypostatical principles, which you will the less scruple to believe, if you consider that glass may be made by the bare colliquation of the salt and earth remaining in the ashes of a burnt plant, and that yet common glass, once made, does so far resist the violence of the fire, that most chymists think it a body more undestroyable then gold it self. for if the artificer can so firmly unite such comparative gross particles as those of earth and salt that make up common ashes, into a body indissoluble by fire; why may not nature associate in divers bodies the more minute elementary corpuscles she has at hand too firmly to let them be separable by the fire? and on this occasion, _eleutherius_, give me leave to mention to you two or three sleight experiments, which will, i hope, be found more pertinent to our present discourse, than at first perhaps they will appear. the first is, that, having (for tryals sake) put a quantity of that fugitive concrete, camphire, into a glass vessel, and plac'd it in a gentle heat, i found it (not leaving behinde, according to my estimate, not so much as one grain) to sublime to the top of the vessel into flowers: which in whiteness, smell, &c. seem'd not to differ from the camphire it self. another experiment is that of _helmont_, who in several places affirms, that a coal kept in a glass exactly clos'd will never be calcin'd to ashes, though kept never so long in a strong fire. to countenance which i shall tell you this tryal of my own, that having sometimes distilled some woods, as particularly box, whilst our _caput mortuum_ remain'd in the retort, it continued black like charcoal, though the retort were earthen, and kept red-hot in a vehement fire; but as soon as ever it was brought out of the candent vessel into the open air, the burning coals did hastily degenerate or fall asunder, without the assistance of any new calcination, into pure white ashes. and to these two i shall add but this obvious and known observation, that common sulphur (if it be pure and freed from its vinager) being leasurely sublim'd in close vessels, rises into dry flowers, which may be presently melted into a bodie of the same nature with that which afforded them. though if brimstone be burnt in the open air it gives, you know, a penetrating fume, which being caught in a glass-bell condenses into that acid liquor called oyl of sulphur _per campanam_. the use i would make of these experiments collated with what i lately told you out of _agricola_ is this, that even among the bodies that are not fixt, there are divers of such a texture, that it will be hard to make it appear, how the fire, as chymists are wont to imploy it, can resolve them into elementary substances. for some bodies being of such a texture that the fire can drive them into the cooler and less hot part of the vessels wherein they are included, and if need be, remove them from place to place to fly the greatest heat, more easily than it can divorce their elements (especially without the assistance of the air) we see that our chymists cannot analyze them in close vessels, and of other compound bodies the open fire can as little separate the elements. for what can a naked fire do to analyze a mixt bodie, if its component principles be so minute, and so strictly united, that the corpuscles of it need less heat to carry them up, than is requisite to divide them into their principles. so that of some bodies the fire cannot in close vessels make any _analysis_ at all, and others will in the open air fly away in the forms of flowers or liquors, before the heat can prove able to divide them into their principles. and this may hold, whether the various similar parts of a concrete be combin'd by nature or by art; for in factitious _sal armoniack_ we finde the common and the urinous salts so well mingled, that both in the open fire, and in subliming vessels they rise together as one salt, which seems in such vessels irresoluble by fire alone. for i can shew you _sal armoniack_ which after the ninth sublimation does still retain its compounded nature. and indeed i scarce know any one mineral, from which by fire alone chymists are wont to sever any substance simple enough to deserve the name of an element or principle. for though out of native cinnaber they distill quicksilver, and though from many of those stones that the ancients called _pyrites_ they sublime brimstone, yet both that quicksilver and this sulphur being very often the same with the common minerals that are sold in the shops under those names, are themselves too much compounded bodies to pass for the elements of such. and thus much, _eleutherius_, for the second argument that belongs to my first consideration; the others i shall the lesse insist on, because i have dwelt so long upon this. [footnote : _agricola_ de natura fossil. lib. . cap. . & .] proceed we then in the next place to consider, that there are divers separations to be made by other means, which either cannot at all, or else cannot so well be made by the fire alone. when gold and silver are melted into one mass, it would lay a great obligation upon refiners and goldsmiths to teach them the art of separating them by the fire, without the trouble and charge they are fain to be at to sever them. whereas they may be very easily parted by the affusion of spirit of nitre or _aqua fortis_ (which the french therefore call _eau de depart_:) so likewise the metalline part of vitriol will not be so easily and conveniently separated from the saline part even by a violent fire, as by the affusion of certain alkalizate salts in a liquid form upon the solution of vitriol made in common water. for thereby the acid salt of the vitriol, leaving the copper it had corroded to joyn with the added salts, the metalline part will be precipitated to the bottom almost like mud. and that i may not give instances only in de-compound bodies, i will add a not useless one of another kinde. not only chymists have not been able (for ought is vulgarly known) by fire alone to separate true sulphur from antimony; but though you may finde in their books many plausible processes of extracting it, yet he that shall make as many fruitlesse tryals as i have done to obtain it by, most of them will, i suppose, be easily perswaded, that the productions of such processes are antimonial sulphurs rather in name than nature. but though antimony sublim'd by its self is reduc'd but to a volatile powder, or antimonial flowers, of a compounded nature like the mineral that affords them: yet i remember that some years ago i sublim'd out of antimony a sulphur, and that in greater plenty then ever i saw obtain'd from that mineral, by a method which i shall therefore acquaint you with, because chymists seem not to have taken notice of what importance such experiments may be in the indagation of the nature, and especially of the number of the elements. having then purposely for tryals sake digested eight ounces of good and well powder'd antimony with twelve ounces of oyl of vitriol in a well stopt glas-vessel for about six or seven weeks; and having caus'd the mass (grown hard and brittle) to be distill'd in a retort plac'd in sand, with a strong fire; we found the antimony to be so opened, or alter'd by the _menstruum_ wherewith it had been digested, that whereas crude antimony, forc'd up by the fire, arises only in flowers, our antimony thus handled afforded us partly in the receiver, and partly in the neck and at the top of the retort, about an ounce of sulphur, yellow and brittle like common brimstone, and of so sulphureous a smell, that upon the unluting the vessels it infected the room with a scarce supportable stink. and this sulphur, besides the colour and smell, had the perfect inflamability of common brimstone, and would immediately kindle (at the flame of a candle) and burn blew like it. and though it seem'd that the long digestion wherein our antimony and _menstruum_ were detain'd, did conduce to the better unlocking of the mineral, yet if you have not the leasure to make so long a digestion, you may by incorporating with powder'd antimony a convenient quantity of oyl of vitriol, and committing them immediately to distillation, obtain a little sulphur like unto the common one, and more combustible than perhaps you will at first take notice of. for i have observ'd, that though (after its being first kindled) the flame would sometimes go out too soon of its self, if the same lump of sulphur were held again to the flame of a candle, it would be rekindled and burn a pretty while, not only after the second, but after the third or fourth accension. you, to whom i think i shewed my way of discovering something of sulphureous in oyl of vitriol, may perchance suspect, _eleutherius_, either that this substance was some venereal sulphur that lay hid in that liquor, and was by this operation only reduc'd into a manifest body; or else that it was a compound of the unctuous parts of the antimony, and the saline ones of the vitriol, in regard that (as _gunther_[ ] informs us) divers learned men would have sulphur to be nothing but a mixture made in the bowels of the earth of vitriolate spirits and a certain combustible substance. but the quantity of sulphur we obtain'd by digestion was much too great to have been latent in the oyl of vitriol. and that vitriolate spirits are not necessary to the constitution of such a sulphur as ours, i could easily manifest, if i would acquaint you with the several wayes by which i have obtain'd, though not in such plenty, a sulphur of antimony, colour'd and combustible like common brimstone. and though i am not now minded to discover them, yet i shall tell you, that to satisfie some ingenious men, that distill'd vitriolate spirits are not necessary to the obtaining of such a sulphur as we have been considering, i did by the bare distillation of only spirit of nitre, from its weight of crude antimony separate, in a short time, a yellow and very inflamable sulphur, which, for ought i know, deserves as much the name of an element, as any thing that chymists are wont to separate from any mineral by the fire. i could perhaps tell you of other operations upon antimony, whereby that may be extracted from it, which cannot be forc'd out of it by the fire; but i shall reserve them for a fitter opportunity, and only annex at present this sleight, but not impertinent experiment. that whereas i lately observed to you, that the urinous and common salts whereof _sal armoniack_ consists, remain'd unsever'd by the fire in many successive sublimations, they may be easily separated, and partly without any fire at all, by pouring upon the concrete finely powder'd, a solution of salt of tartar, or of the salt of wood-ashes; for upon your diligently mixing of these you will finde your nose invaded with a very strong smell of urine, and perhaps too your eyes forc'd to water by the same subtle and piercing body that produces the stink; both these effects proceeding from hence, that by the alcalizate salt, the sea salt that enter'd the composition of the _sal armoniack_ is mortify'd and made more fixt, and thereby a divorce is made between it and the volatile urinous salt, which being at once set at liberty, and put into motion, begins presently to fly away, and to offend the nostrils and eyes it meets with by the way. and if the operation of these salts be in convenient glasses promoted by warmth, though but by that of a bath, the ascending steams may easily be caught and reduc'd into a penetrant spirit, abounding with a salt, which i have sometimes found to be separable in a crystalline form. i might add to these instances, that whereas sublimate, consisting, as you know, of salts & quicksilver combin'd and carried up together by heat, may be sublim'd, i know not how often, by a like degree of fire, without suffering any divorce of the component bodies, the mercury may be easily sever'd from the adhering salts, if the sublimate be distill'd from salt of tartar, quick lime, or such alcalizate bodies. but i will rather observe to you, _eleutherius_, what divers ingenious men have thought somewhat strange; that by such an additament that seems but only to promote the separation, there may be easily obtain'd from a concrete that by the fire alone is easily divisible into all the elements that vegetables are suppos'd to consist of, such a similar substance as differs in many respects from them all, and consequently has by many of the most intelligent chymists been denied to be contain'd in the mixt body. for i know a way, and have practis'd it, whereby common tartar, without the addition of any thing that is not perfectly a mineral except salt-petre, may by one distillation in an earthen retort be made to afford good store of real salt, readily dissoluble in water, which i found to be neither acid, nor of the smell of tartar, and to be almost as volatile as spirit of wine it self, and to be indeed of so differing a nature from all that is wont to be separated by fire from tartar, that divers learned men, with whom i discours'd of it, could hardly be brought to beleeve, that so fugitive a salt could be afforded by tartar, till i assur'd it them upon my own knowledge. and if i did not think you apt to suspect me to be rather too backward than too forward to credit or affirm unlikely things, i could convince you by what i have yet lying by me of that anomalous salt. [footnote : lib. . observat. cap. .] the fourth thing that i shall alledge to countenance my first consideration is, that the fire even when it divides a body into substances of divers consistences, does not most commonly analyze it into hypostatical principles, but only disposes its parts into new textures, and thereby produces concretes of a new indeed, but yet of a compound nature. this argument it will be requisite for me to prosecute so fully hereafter, that i hope you will then confess that 'tis not for want of good proofs that i desire leave to suspend my proofs till the _series_ of my discourse shall make it more proper and seasonable to propose them. it may be further alledg'd on the behalf of my first consideration, that some such distinct substances may be obtain'd from some concretes without fire, as deserve no less the name of elementary, than many that chymists extort by the violence of the fire. we see that the inflamable spirit, or as the chymists esteem it, the sulphur of wine, may not only be separated from it by the gentle heat of a bath, but may be distill'd either by the help of the sun-beams, or even of a dunghill, being indeed of so fugitive a nature, that it is not easy to keep it from flying away, even without the application of external heat. i have likewise observ'd that a vessel full of urine being plac'd in a dunghill, the putrefaction is wont after some weeks so to open the body, that the parts disbanding the saline spirit, will within no very long time, if the vessel be not stopt, fly away of it self; insomuch that from such urine i have been able to distill little or nothing else than a nauseous phlegme, instead of the active and piercing salt and spirit that it would have afforded, when first expos'd to the fire, if the vessel had been carefully stopt. and this leads me to consider in the fifth place, that it will be very hard to prove, that there can no other body or way be given which will as well as the fire divide concretes into several homogeneous substances, which may consequently be call'd their elements or principles, as well as those separated or produc'd by the fire. for since we have lately seen, that nature can successefully employ other instruments than the fire to separate distinct substances from mixt bodies, how know we, but that nature has made, or art may make, some such substance as may be a fit instrument to analyze mixt bodies, or that some such method may be found by humane industry or luck, by whose means compound bodies may be resolv'd into other substances, than such as they are wont to be divided into by the fire. and why the products of such an _analysis_ may not as justly be call'd the component principles of the bodies that afford them, it will not be easy to shew, especially since i shall hereafter make it evident, that the substances which chymists are wont to call the salts, and sulphurs, and mercuries of bodies, are not so pure and elementary as they presume, and as their _hypothesis_ requires. and this may therefore be the more freely press'd upon the chymists, because neither the _paracelsians_, nor the _helmontians_ can reject it without apparent injury to their respective masters. for _helmont_ do's more than once inform his readers, that both _paracelsus_ and himself were possessors of the famous liquor, _alkahest_, which for its great power in resolving bodies irresoluble by vulgar fires, he somewhere seems to call _ignis gehennæ_. to this liquor he ascribes, (and that in great part upon his own experience) such wonders, that if we suppose them all true, i am so much the more a friend to knowledge than to wealth, that i should think the _alkahest_ a nobler and more desireable secret than the philosophers stone it self. of this universal dissolvent he relates, that having digested with it for a competent time a piece of oaken charcoal, it was thereby reduc'd into a couple of new and distinct liquors, discriminated from each other by their colour and situation, and that the whole body of the coal was reduc'd into those liquors, both of them separable from his immortal _menstruum_, which remain'd as fit for such operations as before. and he moreover tells us in divers places of his writings, that by this powerful, and unwearied agent, he could dissolve metals, marchasites, stones, vegetable and animal bodies of what kinde soever, and even glass it self (first reduc'd to powder,) and in a word, all kinds of mixt bodies in the world into their several similar substances, without any residence or _caput mortuum_. and lastly, we may gather this further from his informations, that the homogeneous substances obtainable from compound bodies by his piercing liquor, were oftentimes different enough both as to number and as to nature, from those into which the same bodies are wont to be divided by common fire. of which i shall need in this place to mention no other proof, then that whereas we know that in our common _analysis_ of a mixt body, there remains a terrestrial and very fixt substance, oftentimes associated with a salt as fixt; our author tells us, that by his way he could distill over all concretes without any _caput mortuum_, and consequently could make those parts of the concrete volatile, which in the vulgar _analysis_ would have been fixt. so that if our chymists will not reject the solemn and repeated testimony of a person, who cannot but be acknowledg'd for one of the greatest spagyrists that they can boast of, they must not deny that there is to be found in nature another agent able to analyze compound bodies less violently, and both more genuinely and more universally than the fire. and for my own part, though i cannot but say on this occasion what (you know) our friend mr. _boyle_ is wont to say, when he is askt his opinion of any strange experiment; _that he that hath seen it hath more reason to beleeve it, than he that hath not_; yet i have found _helmont_ so faithful a writer, even in divers of his improbable experiments (i alwayes except that extravagant treatise _de magnetica vulnerum curatione_, which some of his friends affirm to have been first publish'd by his enemies) that i think it somewhat harsh to give him the lye, especially to what he delivers upon his own proper tryal. and i have heard from very credible eye-witnesses some things, and seen some others my self, which argue so strongly, that a circulated salt, or a _menstruum_ (such as it may be) may by being abstracted from compound bodies, whether mineral, animal, or vegetable, leave them more unlockt than a wary naturalist would easily beleeve, that i dare not confidently measure the power of nature and art by that of the _menstruums_, and other instruments that eminent chymists themselves are as yet wont to empoly [errata: employ] about the analyzing of bodies; nor deny that a _menstruum_ may at least from this or that particular concrete obtain some apparently similar substance, differing from any obtainable from the same body by any degree or manner of application of the fire. and i am the more backward to deny peremptorily, that there may be such openers of compound bodies, because among the experiments that make me speak thus warily, there wanted not some in which it appear'd not, that one of the substances not separable by common fires and _menstruums_ could retain any thing of the salt by which the separation was made. and here, _eleutherius_, (sayes _carneades_) i should conclude as much of my discourse as belongs to the first consideration i propos'd, but that i foresee, that what i have delivered will appear liable to two such specious objections, that i cannot safely proceed any further till i have examin'd them. and first, one sort of opposers will be forward to tell me, that they do not pretend by fire alone to separate out of all compound bodies their _hypostatical_ principles; it being sufficient that the fire divides them into such, though afterwards they employ other bodies to collect the similar parts of the compound; as 'tis known, that though they make use of water to collect the saline parts of ashes from the terrestrial wherewith they are blended, yet it is the fire only that incinerates bodies, and reduces the fix'd part of them into the salt and earth, whereof ashes are made up. this objection is not, i confess, inconsiderable, and i might in great part allow of it, without granting it to make against me, if i would content my self to answer, that it is not against those that make it that i have been disputing, but against those vulgar chymists, who themselves believe, and would fain make others do so, that the fire is not only an universal, but an adæquate [transcriber's note: adequate] and sufficient instrument to analyze mixt bodies with. for as to their practice of extracting the fix'd salt out of ashes by the affusion of water, 'tis obvious to alleadge, that the water does only assemble together the salt the fire had before divided from the earth: as a sieve does not further break the corn, but only bring together into two distinct heaps the flour and the bran, whose corpuscles before lay promiscuously blended together in the meal. this i say i might alleadge, and thereby exempt my self from the need of taking any farther notice of the propos'd objection. but not to lose the rise it may afford me of illustrating the matter under consideration, i am content briefly to consider it, as far forth as my present disquisition may be concern'd in it. not to repeat then what has been already answer'd, i say farther, that though i am so civil an adversary, that i will allow the chymists, after the fire has done all its work, the use of fair water to make their extractions with, in such cases wherein the water does not cooperate with the fire to make the _analysis_; yet since i grant this but upon supposition that the water does only wash off the saline particles, which the fire alone has before extricated in the analyz'd body, it will not be reasonable, that this concession should extend to other liquors that may add to what they dissolve, nor so much as to other cases than those newly mentioned: which limitation i desire you would be pleas'd to bear in mind till i shall anon have occasion to make use of it. and this being thus premis'd, i shall proceed to observe, first, that many of the instances i propos'd in the preceding discourse are such, that the objection we are considering will not at all reach them. for fire can no more with the assistance of water than without it separate any of the three principles, either from gold, silver, mercury, or some others of the concretes named above. hence we may inferre, that fire is not an universal analyzer of all mixt bodies, since of metals and minerals, wherein chymists have most exercis'd themselves, there appear scarce any which they are able to analyze by fire, nay, from which they can unquestionably separate so much as any one of their hypostatical principles; which may well appear no small disparagement as well to their _hypothesis_ as to their pretensions. it will also remain true, notwithstanding the objection, that there may be other wayes than the wonted _analysis_ by fire, to separate from a compound body substances as homogeneneous [transcriber's note: homogeneous] as those that chymists scruple not to reckon among their _tria prima_ (as some of them, for brevity sake, call their three principles.) and it appears, that by convenient additaments such substances may be separated by the help of the fire, as could not be so by the fire alone: witness the sulphur of antimony. and lastly, i must represent, that since it appears too that the fire is but one of the instruments that must be employ'd in the resolution of bodies, we may reasonably challenge the liberty of doing two things. for when ever any _menstruum_ or other additament is employ'd, together with the fire to obtain a sulphur or a salt from a body, we may well take the freedom to examine, whether or no that _menstruum_ do barely help to separate the principle obtain'd by it, or whether there intervene not a coalition of the parts of the body wrought upon with those of the _menstruum_, whereby the produc'd concrete may be judg'd to result from the union of both. and it will be farther allowable for us to consider, how far any substance, separated by the help of such additaments, ought to pass for one of the _tria prima_; since by one way of handling the same mixt body it may according to the nature of the additaments, and the method of working upon it, be made to afford differing substances from those obtainable from it by other additaments, and another method, nay and (as may appear by what i formerly told you about tartar) differing from any of the substances into which a concrete is divisible by the fire without additaments, though perhaps those additaments do not, as ingredients, enter the composition of the obtained body, but only diversify the operation of the fire upon the concrete; and though that concrete by the fire alone may be divided into a number of differing substances, as great as any of the chymists that i have met with teach us that of the elements to be. and having said thus much (sayes _carneades_) to the objection likely to be propos'd by some chymists, i am now to examine that which i foresee will be confidently press'd by divers peripateticks, who, to prove fire to be the true analyzer of bodies, will plead, that it is the very definition of heat given by _aristotle_, and generally received, _congregare homogenea, & heterogenea segregare_, to assemble things of a resembling, and disjoyn those of a differing nature. to this i answer, that this effect is far from being so essential to heat, as 'tis generally imagin'd; for it rather seems, that the true and genuine property of heat is, to set a moving, and thereby to dissociate the parts of bodies, and subdivide them into minute particles, without regard to their being homogeneous or heterogeneous, as is apparent in the boyling of water, the distillation of quicksilver, or the exposing of bodies to the action of the fire, whose parts either are not (at least in that degree of heat appear not) dissimilar, where all that the fire can do, is to divide the body into very minute parts which are of the same nature with one another, and with their _totum_, as their reduction by condensation evinces. and even when the fire seems most so _congregare homogenea, & segregare heterogenea_, it produces that effect but by accident; for the fire does but dissolve the cement, or rather shatter the frame, or [tructure [errata: structure] that kept the heterogeneous parts of bodies together, under one common form; upon which dissolution the component particles of the mixt, being freed and set at liberty, do naturally, and oftentimes without any operation of the fire, associate themselves each with its like, or rather do take those places which their several degrees of gravity and levity, fixedness or volatility (either natural, or adventitious from the impression of the fire) assigne them. thus in the distillation (for instance) of man's blood, the fire do's first begin to dissolve the _nexus_ or cement of the body; and then the water, being the most volatile, and easy to be extracted, is either by the igneous atomes, or the agitation they are put into by the fire, first carried up, till forsaken by what carried it up, its weight sinks it down into the receiver: but all this while the other principles of the concrete remain unsever'd, and require a stronger degree of heat to make a separation of its more fixt elements; and therefore the fire must be increas'd which carries over the volatile salt and the spirit, they being, though beleev'd to be differing principles, and though really of different consistency, yet of an almost equal volatility. after them, as less fugitive, comes over the oyl, and leaves behinde the earth and the _alcali_, which being of an equal fixednesse, the fire severs them not, for all the definition of the schools. and if into a red-hot earthen or iron retort you cast the matter to be distill'd, you may observe, as i have often done, that the predominant fire will carry up all the volatile elements confusedly in one fume, which will afterwards take their places in the receiver, either according to the degree of their gravity, or according to the exigency of their respective textures; the salt adhering, for the most part, to the sides and top, and the phlegme fastening it self there too in great drops, the oyle and spirit placing themselves under, or above one another, according as their ponderousness makes them swim or sink. for 'tis observable, that though oyl or liquid sulphur be one of the elements separated by this fiery _analysis_, yet the heat which accidentally unites the particles of the other volatile principles, has not alwayes the same operation on this, there being divers bodies which yield two oyls, whereof the one sinks to the bottom of that spirit on which the other swims; as i can shew you in some oyls of the same deers blood, which are yet by me: nay i can shew you two oyls carefully made of the same parcel of humane blood, which not only differ extreamly in colour, but swim upon one another without mixture, and if by agitation confounded will of themselves divorce again. and that the fire doth oftentimes divide bodies, upon the account that some of their parts are more fixt, and some more volatile, how far soever either of these two may be from a pure elementary nature is obvious enough, if men would but heed it in the burning of wood, which the fire dissipates into smoake and ashes: for not only the latter of these is confessedly made up of two such differing bodies as earth and salt; but the former being condens'd into that soot which adheres to our chimneys, discovers it self to contain both salt and oyl, and spirit and earth, (and some portion of phlegme too) which being, all almost, equally volatile to that degree of fire which forces them up, (the more volatile parts helping perhaps, as well as the urgency of the fire, to carry up the more fixt ones, as i have often try'd in dulcify'd _colcothar_, sublim'd by _sal armoniack_ blended with it) are carried up together, but may afterwards be separated by other degrees of fire, whose orderly gradation allowes the disparity of their volatileness to discover it self. besides, if differing bodies united into one mass be both sufficiently fixt, the fire finding no parts volatile enough to be expell'd or carried up, makes no separation at all; as may appear by a mixture of colliquated silver and gold, whose component metals may be easily sever'd by _aqua fortis_, or _aqua regis_ (according to the predominancy of the silver or the gold) but in the fire alone, though vehement, the metals remain unsever'd, the fire only dividing the body into smaller particles (whose littlenesse may be argu'd from their fluidity) in which either the little nimble atoms of fire, or its brisk and numberless strokes upon the vessels, hinder rest and continuity, without any sequestration of elementary principles. moreover, the fire sometimes does not separate, so much as unite, bodies of a differing nature; provided they be of an almost resembling fixedness, and have in the figure of their parts an aptness to coalition, as we see in the making of many plaisters, oyntments, &c. and in such metalline mixtures as that made by melting together two parts of clean brass with one of pure copper, of which some ingenious trades-men cast such curious patterns (for gold and silver works) as i have sometimes taken great pleasure to look upon. sometimes the bodies mingled by the fire are differing enough as to fixidity and volatility, and yet are so combin'd by the first operation of the fire, that it self does scarce afterwards separate them, but only pulverize them; whereof an instance is afforded us by the common preparation of _mercurius dulcis_, where the saline particles of the vitriol, sea salt, and sometimes nitre, employ'd to make the sublimate, do so unite themselves with the mercurial particles made use of, first to make sublimate, and then to dulcifie it, that the saline and metalline parts arise together in many successive sublimations, as if they all made but one body. and sometimes too the fire does not only not sever the differing elements of a body, but combine them so firmly, that nature her self does very seldom, if ever, make unions less dissoluble. for the fire meeting with some bodies exceedingly and almost equally fixt, instead of making a separation, makes an union so strict, that it self, alone, is unable to dissolve it; as we see, when an alcalizate salt and the terrestrial residue of the ashes are incorporated with pure sand, and by vitrification made one permanent body, (i mean the course or greenish sort of glass) that mocks the greatest violence of the fire, which though able to marry the ingredients of it, yet is not able to divorce them. i can shew you some pieces of glass which i saw flow down from an earthen crucible purposely expos'd for a good while, with silver in it, to a very vehement fire. and some that deal much in the fusion of metals informe me, that the melting of a great part of a crucible into glass is no great wonder in their furnaces. i remember, i have observ'd too in the melting of great quantities of iron out of the oar, by the help of store of charcoal (for they affirm that sea-coal will not yield a flame strong enough) that by the prodigious vehemence of the fire, excited by vast bellows (made to play by great wheels turn'd about by water) part of the materials expos'd to it was, instead of being analyz'd, colliquated, and turn'd into a dark, solid and very ponderous glass, and that in such quantity, that in some places i have seen the very high-wayes, neer such iron-works, mended with heaps of such lumps of glasse, instead of stones and gravel. and i have also observ'd, that some kind of fire-stone it self, having been employ'd in furnaces wherein it was expos'd to very strong and lasting fires, has had all its fixt parts so wrought on by the fire, as to be perfectly vitrifi'd, which i have try'd by forcing from it pretty large pieces of perfect and transparent glass. and lest you might think, _eleutherius_, that the question'd definition of heat may be demonstrated, by the definition which is wont to be given and acquiesc'd in, of its contrary quality, cold, whose property is taught to be _tam homogenea, quam heterogenea congregare_; give me leave to represent to you, that neither is this definition unquestionable; for not to mention the exceptions, which a _logician_, as such, may take at it, i consider that the union of heterogeneous bodies which is suppos'd to be the genuine production of cold, is not perform'd by every degree of cold. for we see for instance that in the urine of healthy men, when the liquor has been suffer'd a while to stand, the cold makes a separation of the thinner part from the grosser, which subsides to the bottom, and growes opacous there; whereas if the urinal be warme, these parts readily mingle again, and the whole liquor becomes transparent as before. and when, by glaciation, wood, straw, dust, water, &c. are suppos'd to be united into one lump of ice, the cold does not cause any real union or adunation, (if i may so speak) of these bodies, but only hardening the aqueous parts of the liquor into ice, the other bodies being accidentally present in that liquor are frozen up in it, but not really united. and accordingly if we expose a heap of mony consisting of gold, silver and copper coynes, or any other bodies of differing natures, which are destitute of aqueous moisture, capable of congelation, to never so intense a cold, we find not that these differing bodies are at all thereby so much as compacted, much less united together; and even in liquors themselves we find _phænomena_ which induce us to question the definition which we are examining. if _paracelsus_ his authority were to be look't upon as a sufficient proof in matters of this nature, i might here insist on that process of his, whereby he teaches that the essence of wine may be sever'd from the phlegme and ignoble part by the assistance of congelation: and because much weight has been laid upon this process, not only by _paracelsians_, but other writers, some of whom seem not to have perus'd it themselves, i shall give you the entire passage in the authors own words, as i lately found them in the sixth book of his _archidoxis_, an extract whereof i have yet about me; and it sounds thus. _de vino sciendum est, fæcem phlegmaque ejus esse mineram, & vini substantiam esse corpus in quo conservatur essentia, prout auri in auro latet essentia. juxta quod practicam nobis ad memoriam ponimus, ut non obliviscamur, ad hunc modum: recipe vinum vetustissimum & optimum quod habere poteris, calore saporeque ad placitum, hoc in vas vitreum infundas ut tertiam ejus partem impleat, & sigillo hermetis occlusum in equino ventre mensibus quatuor, & in continuato calore teneatur qui non deficiat. quo peracto, hyeme cum frigus & gelu maxime sæviunt, his per mensem exponatur ut congeletur. ad hunc modum frigus vini spiritum una cum ejus substantia protrudit in vini centrum, ac separat a phlegmate: congelatum abjice, quod vero congelatum non est, id spiritum cum substantia esse judicato. hunc in pelicanum positum in arenæ digestione non adeo calida per aliquod tempus manere finito; postmodum eximito vini magisterium, de quo locuti sumus._ but i dare not _eleu._ lay much weight upon this process, because i have found that if it were true, it would be but seldom practicable in this country upon the best wine: for though this present winter hath been extraordinary cold, yet in very keen frosts accompanied with lasting snowes, i have not been able in any measure to freeze a thin vial full of sack; and even with snow and salt i could freeze little more then the surface of it; and i suppose _eleu._ that tis not every degree of cold that is capable of congealing liquors, which is able to make such an _analysis_ (if i may so call it) of them by separating their aqueous and spirituous parts; for i have sometimes, though not often, frozen severally, red-wine, urine and milk, but could not observe the expected separation. and the dutch-men that were forc'd to winter in that icie region neer the artick circle, call'd _nova zembla_, although they relate, as we shall see below, that there was a separation of parts made in their frozen beer about the middle of _november_, yet of the freezing of their back [errata: sack] in _december_ following they give but this account: _yea and our sack, which is so hot, was frozen very hard, so that when we were every man to have his part, we were forc'd to melt it in the fire; which we shar'd every second day, about half a pinte for a man, wherewith we were forc'd to sustain our selves._ in which words they imply not, that their back [errata: sack] was divided by the frost into differing substances, after such manner as their beer had been. all which notwithstanding, _eleu._ suppose that it may be made to appear, that even cold sometimes may _congregare homogenea, & heterogenea segregare_: and to manifest this i may tell you, that i did once, purposely cause to be decocted in fair water a plant abounding with sulphureous and spirituous parts, and having expos'd the decoction to a keen north-wind in a very frosty night, i observ'd, that the more aqueous parts of it were turn'd by the next morning into ice, towards the innermost part of which, the more agile and spirituous parts, as i then conjectur'd, having retreated, to shun as much as might be their environing enemy, they had there preserv'd themselves unfrozen in the form of a high colour'd liquor, the aqueous and spirituous parts having been so sleightly (blended rather than) united in the decoction, that they were easily separable by such a degree of cold as would not have been able to have divorc'd the parts of urine or wine, which by fermentation or digestion are wont, as tryal has inform'd me, to be more intimately associated each with other. but i have already intimated, _eleutherius_, that i shall not insist on this experiment, not only because, having made it but once i may possibly have been mistaken in it; but also (and that principally) because of that much more full and eminent experiment of the separative virtue of extream cold, that was made, against their wills, by the foremention'd dutch men that winter'd in _nova zembla_; the relation of whose voyage being a very scarce book, it will not be amiss to give you that memorable part of it which concerns our present theme, as i caus'd the passage to be extracted out of the englished voyage it self. "_gerard de veer_, _john cornelyson_ and others, sent out of _amsterdam_, _anno dom._ . being forc'd by unseasonable weather to winter in _nova zembla_, neer ice-haven; on the thirteenth of _october_, three of us (sayes the relation) went aboard the ship, and laded a sled with beer; but when we had laden it, thinking to go to our house with it, suddenly there arose such a winde, and so great a storm and cold, that we were forc'd to go into the ship again, because we were not able to stay without; and we could not get the beer into the ship again, but were forc'd to let it stand without upon the sled: the fourteenth, as we came out of the ship, we found the barrel of beer standing upon the sled, but it was fast frozen at the heads; yet by reason of the great cold, the beer that purg'd out froze as hard upon the side of the barrel, as if it had been glu'd thereon: and in that sort we drew it to our house, and set the barrel an end, and drank it up; but first we were forc'd to melt the beer, for there was scarce any unfrozen beer in the barrel; but in that thick yiest that was unfrozen lay the strength of the beer, so that it was too strong to drink alone, and that which was frozen tasted like water; and being melted we mix'd one with the other, and so drank it; but it had neither strength nor taste." and on this occasion i remember, that having the last very sharp winter purposely try'd to freeze, among other liquors, some beer moderately strong, in glass vessels, with snow and salt, i observ'd, that there came out of the neck a certain thick substance, which, it seems, was much better able then the rest of the liquor (that i found turn'd into ice) to resist a frost, and which, by its colour and consistence seem'd mafestly [transcriber's note: manifestly] enough to be yiest, whereat, i confess, i somewhat marvail'd, because i did not either discerne by the taste, or find by enquiry, that the beer was at all too new to be very fit to be drank. i might confirm the dutchmens relation, by what happen'd a while since to a neere friend of mine, who complained to me, that having brew'd some beer or ale for his own drinking in _holland_ (where he then dwelt) the keenness of the late bitter winter froze the drink so as to reduce it into ice, and a small proportion of a very strong and spirituous liquor. but i must not entertain you any longer concerning cold, not onely because you may think i have but lost my way into a theme which does not directly belong to my present undertaking; but because i have already enlarg'd my self too much upon the first consideration i propos'd, though it appears so much a paradox, that it seem'd to require that i should say much to keep it from being thought a meere extravagance; yet since i undertook but to make the common assumption of our chymists and _aristotelians_ appear questionable, i hope i have so perform'd that task, that i may now proceed to my following considerations, and insist lesse on them than i have done on the first. the sceptical chymist. _the second part._ the second consideration i desire to have notice taken of, is this, that it is not so sure, as both chymists and _aristotelians_ are wont to think it, that every seemingly similar or distinct substance that is separated from a body by the help of the fire, was pre existent in it as a principle or element of it. that i may not make this paradox a greater then i needs must, i will first briefly explain what the proposition means, before i proceed to argue for it. and i suppose you will easily believe that i do not mean that any thing is separable from a body by fire, that was not materially pre-existent in it; for it far exceeds the power of meerly naturall agents, and consequently of the fire, to produce anew, so much as one atome of matter, which they can but modifie and alter, not create; which is so obvious a truth, that almost all sects of philosophers have deny'd the power of producing matter to second causes; and the _epicureans_ and some others have done the like, in reference to their gods themselves. nor does the proposition peremptorily deny but that some things obtain'd by the fire from a mixt body, may have been more then barely materially pre-existent in it, since there are concretes, which before they be expos'd to the fire afford us several documents of their abounding, some with salt, and others with sulphur. for it will serve the present turn, if it appear that diverse things obtain'd from a mixt body expos'd to the fire, were not its ingredients before: for if this be made to appear it, will [errata: appear, it will] be rationall enough to suspect that chymists may decieve themselves, and others, in concluding resolutely and universally, those substances to be the elementary ingredients of bodies barely separated by the fire, of which it yet may be doubted whether there be such or no; at least till some other argument then that drawn from the _analysis_ be brought to resolve the doubt. that then which i mean by the proposition i am explaining, is, that it may without absurdity be doubted whether or no the differing substances obtainable from a concrete dissipated by the fire were so exsistent in it in that forme (at least as to their minute parts) wherein we find them when the _analysis_ is over, that the fire did only dis-joyne and extricate the corpuscles of one principle from those of the other wherewith before they were blended. having thus explain'd my proposition, i shall endeavour to do two things, to prove it; the first of which is to shew that such substances as chymists call principles may be produc'd _de novo_ (as they speak.) and the other is to make it probable that by the fire we may actually obtain from some mixt bodies such substances as were not in the newly expounded sence, pre-existent in them. to begin then with the first of these, i consider that if it be as true as 'tis probable, that compounded bodies differ from one another but in the various textures resulting from the bigness, shape, motion, and contrivance of their smal parts, it will not be irrationall to conceive that one and the same parcel of the universal matter may by various alterations and contextures be brought to deserve the name, somtimes of a sulphureous, and sometimes of a terrene, or aqueous body. and this i could more largely explicate, but that our friend mr. _boyle_ has promis'd us something about qualities, wherein the theme i now willingly resign him, will i question not be studiously enquired into. wherefore what i shall now advance in favour of what i have lately deliver'd shall be deduc'd from experiments made divers years since. the first of which would have been much more considerable, but that by some intervening accidents i was necessitated to lose the best time of the year, for a trial of the nature of that i design'd; it being about he [transcriber's note: the] middle of _may_ before i was able to begin an experiment which should have then been two moneths old; but such as it was, it will not perhaps be impertinent to give you this narrative of it. at the time newly mention'd, i caus'd my gardiner (being by urgent occasions hinder'd from being present myself) to dig out a convenient quantity of good earth, and dry it well in an oven, to weigh it, to put it in an earthen pot almost level with the surface of the ground, and to set in it a selected seed he had before received from me, for that purpose, of squash, which is an indian kind of pompion, that growes apace; this seed i ordered him to water only with rain or spring water. i did not (when my occasions permitted me to visit it) without delight behold how fast it grew, though unseasonably sown; but the hastning winter hinder'd it from attaining any thing neer its due and wonted magnitude; (for i found the same autumn, in my garden, some of those plants, by measure, as big about as my middle) and made me order the having it taken up; which about the middle of _october_ was carefully done by the same gardiner, who a while after sent me this account of it; _i have weighed the pompion with the stalk and leaves, all which weighed three pound wanting a quarter; then i took the earth, baked it as formerly, and found it just as much as i did at first, which made me think i had not dry'd it sufficiently: then i put it into the oven twice more, after the bread was drawn, and weighed it the second time, but found it shrink little or nothing._ but to deal candidly with you, _eleutherius_, i must not conceal from you the event of another experiment of this kind made this present summer, wherein the earth seems to have been much more wasted; as may appear by the following account, lately sent me by the same gardiner, in these words. _to give you an account of your cucumbers, i have gain'd two indifferent fair ones, the weight of them is ten pound and a halfe, the branches with the roots weighed four pounds wanting two ounces; and when i had weighed them i took the earth, and bak'd it in several small earthen dishes in an oven; and when i had so done, i found the earth wanted a pound and a halfe of what it was formerly; yet i was not satisfi'd, doubting the earth was not dry: i put it into an oven the second time, (after the bread was drawn) and after i had taken it out and weighed it, i found it to be the same weight: so i suppose there was no moisture left in the earth. neither do i think that the pound and halfe that was wanting was drawn away by the cucumber but a great part of it in the ordering was in dust (and the like) wasted: (the cucumbers are kept by themselves, lest you should send for them.)_ but yet in this tryal, _eleutherius_, it appears that though some of the earth, or rather the dissoluble salt harbour'd in it, were wasted, the main body of the plant consisted of transmuted water. and i might add, that a year after i caus'd the formerly mentioned experiment, touching large pompions, to be reiterated, with so good success, that if my memory does not much mis-inform me, it did not only much surpass any that i made before, but seem'd strangely to conclude what i am pleading for; though (by reason i have unhappily lost the particular account my gardiner writ me up of the circumstances) i dare not insist upon them. the like experiment may be as conveniently try'd with the seeds of any plant, whose growth is hasty, and its size bulky. if tobacco will in these cold climates grow well in earth undung'd, it would not be amiss to make a tryal with it; for 'tis an annual plant, that arises where it prospers, sometimes as high as a tall man; and i have had leaves of it in my garden neer a foot and a halfe broad. but the next time i try this experiment, it shall be with several seeds of the same sort, in the same pot of earth, that so the event may be the more conspicuous. but because every body has not conveniency of time and place for this experiment neither, i made in my chamber, some shorter and more expeditions [transcriber's note: expeditious] tryals. i took a top of spearmint, about an inch long, and put it into a good vial full of spring water, so as the upper part of the mint was above the neck of the glass, and the lower part immers'd in the water; within a few dayes this mint began to shoot forth roots into the water, and to display its leaves, and aspire upwards; and in a short time it had numerous roots and leaves, and these very strong and fragrant of the odour of the mint: but the heat of my chamber, as i suppose, kill'd the plant when it was grown to have a pretty thick stalk, which with the various and ramified roots, which it shot into the water as if it had been earth, presented in its transparent flower-pot a spectacle not unpleasant to behold. the like i try'd with sweet marjoram, and i found the experiment succeed also, though somewhat more slowly, with balme and peniroyal, to name now no other plants. and one of these vegetables, cherish'd only by water, having obtain'd a competent growth, i did, for tryals sake, cause to be distill'd in a small retort, and thereby obtain'd some phlegme, a little empyreumaticall spirit, a small quantity of adust oyl, and a _caput mortuum_; which appearing to be a coal concluded it to consist of salt and earth: but the quantity of it was so small that i forbore to calcine it. the water i us'd to nourish this plant was not shifted nor renewed; and i chose spring-water rather than rain-water, because the latter is more discernably a kinde of [greek: panspermia], which, though it be granted to be freed from grosser mixtures, seems yet to contain in it, besides the steams of several bodies wandering in the air, which may be suppos'd to impregnate it, a certain spirituous substance, which may be extracted out of it, and is by some mistaken for the spirit of the world corporify'd, upon what grounds, and with what probability, i may elsewhere perchance, but must not now, discourse to you. but perhaps i might have sav'd a great part of my labour. for i finde that _helmont_ (an author more considerable for his experiments than many learned men are pleas'd to think him) having had an opportunity to prosecute an experiment much of the same nature with those i have been now speaking of, for five years together, obtain'd at the end of that time so notable a quantity of transmuted water, that i should scarce think it fit to have his experiment, and mine mention'd together, were it not that the length of time requisite to this may deterr the curiosity of some, and exceed the leasure of others; and partly, that so paradoxical a truth as that which these experiments seem to hold forth, needs to be confirm'd by more witnesses then one, especially since the extravagancies and untruths to be met with in _helmonts_ treatise of the magnetick cure of wounds, have made his testimonies suspected in his other writings, though as to some of the unlikely matters of fact he delivers in them, i might safely undertake to be his compurgator. but that experiment of his which i was mentioning to you, he sayes, was this. he took pound of earth dry'd in an oven, and having put it into an earthen vessel and moisten'd it with raine water he planted in it the trunk of a willow tree of five pound weight; this he water'd, as need required, with rain or with distill'd water; and to keep the neighbouring earth from getting into the vessell, he employ'd a plate of iron tinn'd over and perforated with many holes. five years being efflux'd, he took out the tree and weighed it, and (with computing the leaves that fell during four autumnes) he found it to weigh pound, and about three ounces. and having again dry'd the earth it grew in, he found it want of its former weight of pound, about a couple only of ounces; so that pound of the roots, wood, and bark, which constituted the tree, seem to have sprung from the water. and though it appears not that _helmont_ had the curiosity to make any _analysis_ of this plant, yet what i lately told you i did to one of the vegetables i nourish'd with water only, will i suppose keep you from doubting that if he had distill'd this tree, it would have afforded him the like distinct substances as another vegetable of the same kind. i need not subjoyne that i had it also in my thoughts to try how experiments to the same purpose with those i related to you would succeed in other bodies then vegetables, because importunate avocations having hitherto hinder'd me from putting my design in practise, i can yet speak but confecturally [transcriber's note: conjecturally] of the success: but the best is, that the experiments already made and mention'd to you need not the assistance of new ones, to verifie as much as my present task makes it concern me to prove by experiments of this nature. one would suspect (sayes _eleutherius_ after his long silence) by what you have been discoursing, that you are not far from _helmonts_ opinion about the origination of compound bodies, and perhaps too dislike not the arguments which he imployes to prove it. what _helmontian_ opinion, and what arguments do you mean (askes _carneades_.) what you have been newly discoursing (replies _eleutherius_) tells us, that you cannot but know that this bold and acute spagyrist scruples not to assert that all mixt bodies spring from one element; and that vegetables, animals, marchasites, stones, metalls, &c. are materially but simple water disguis'd into these various formes, by the plastick or formative virtue of their seeds. and as for his reasons you may find divers of them scatter'd up and down his writings; the considerabl'st of which seem to be these three; the ultimate reduction of mixt bodies into insipid water, the vicissitude of the supposed elements, and the production of perfectly mixt bodies out of simple water. and first he affirmes that the _sal circulatus paracelsi_, or his liquor _alkahest_, does adequately resolve plants, animals, and mineralls into one liquor or more, according to their several internall disparities of parts (without _caput mortuum_, or the destruction of their seminal virtues;) and that the _alkahest_ being abstracted from these liquors in the same weight and virtue wherewith it dissolv'd them, the liquors may by frequent cohobations from chalke or some other idoneous matter, be totally depriv'd of their seminal endowments, and return at last to their first matter, insipid water; some other wayes he proposes here and there, to divest some particular bodies of their borrow'd shapes, and make them remigrate to their first simplicity. the second topick whence _helmont_ drawes his arguments, to prove water to be the material cause of mixt bodies, i told you was this, that the other suppos'd elements may be transmuted into one another. but the experiments by him here and there produc'd on this occasion, are so uneasie to be made and to be judg'd of, that i shall not insist on them; not to mention, that if they were granted to be true, his inference from them is somewhat disputable; and therefore i shall pass on to tell you, that as, in his first argument, our paradoxical author endeavours to prove water the sole element of mixt bodies, by their ultimate resolution, when by his _alkahest_, or some other conquering agent, the seeds have been destroy'd, which disguis'd them, or when by time those seeds are weari'd or exantlated or unable to act their parts upon the stage of the universe any longer: so in his third argument he endeavours to evince the same conclusion, by the constitution of bodies which he asserts to be nothing but water subdu'd by seminal virtues. of this he gives here and there in his writings several instances, as to plants and animals; but divers of them being difficult either to be try'd or to be understood, and others of them being not altogether unobnoxious to exceptions, i think you have singl'd out the principal and less questionable experiment when you lately mention'd that of the willow tree. and having thus, continues _eleutherius_, to answer your question, given you a summary account of what i am confident you know better then i do, i shall be very glad to receive your sence of it, if the giving it me will not too much divert you from the prosecution of your discourse. that _if_ (replies _carneades_) was not needlessly annex'd: for thorowly to examine such an hypothesis and such arguments would require so many considerations, and consequently so much time, that i should not now have the liesure [errata: leasure] to perfect such a digression, and much less to finish my principle [errata: principal] discourse. yet thus much i shall tell you at present, that you need not fear my rejecting this opinion for its novelty; since, however the _helmontians_ may in complement to their master pretend it to be a new discovery, yet though the arguments be for the most part his, the opinion it self is very antient: for _diogenes laertius_ and divers other authors speak of _thales_, as the first among the _græcians_ that made disquisitions upon nature. and of this _thales_, i remember, _tully_[ ] informes us, that he taught all things were at first made of water. and it seems by _plutarch_ and _justin martyr_, that the opinion was ancienter then he: for they tell us that he us'd to defend his tenet by the testimony of _homer_. and a greek author, (the _scholiast_ of _apollonius_) upon these words [greek: ex iliou [transcriber's note: iluos] eblastêse chthôn autê],[ ] _the earth of slime was made,_ affirms (out of _zeno_) that the _chaos_, whereof all things were made, was, according to _hesiod_, water; which, settling first, became slime, and then condens'd into solid earth. and the same opinion about the generation of slime seems to have been entertain'd by _orpheus_, out of whom one of the antients[ ] cites this testimony, [greek: ek tou hydatos ilui katistê.] _of water slime was made._ [footnote : de natura deorum.] [footnote : argonaut. .] [footnote : athenagoras.] it seems also by what is delivered in _strabo_[ ] out of another author, concerning the _indians_, that they likewise held that all things had differing beginnings, but that of which the world was made, was water. and the like opinion has been by some of the antients ascrib'd to the _phoenicians_, from whom _thales_ himself is conceiv'd to have borrow'd it; as probably the greeks did much of their theologie, and, as i am apt to think, of their philosophy too; since the devising of the atomical _hypothesis_ commonly ascrib'd to _lucippus_ and his disciple _democritus_, is by learned men attributed to one _moschus_ a _phoenician_. and possibly the opinion is yet antienter than so; for 'tis known that the _phoenicians_ borrow'd most of their learning from the _hebrews_. and among those that acknowledge the books of _moses_, many have been inclin'd to think water to have been the primitive and universal matter, by perusing the beginning of _genesis_, where the waters seem to be mention'd as the material cause, not only of sublunary compounded bodies, but of all those that make up the universe; whose component parts did orderly, as it were, emerge out of that vast abysse, by the operation of the spirit of god, who is said to have been moving himself as hatching females do (as the original [hebrew: merachephet], _meracephet_[ ] is said to import, and as it seems to signifie in one of the two other places, wherein alone i have met with it in the hebrew bible)[ ] upon the face of the waters; which being, as may be suppos'd, divinely impregnated with the seeds of all things, were by that productive incubation qualify'd to produce them. but you, i presume, expect that i should discourse of this matter like a naturalist, not a philologer. wherefore i shall add, to countenance _helmont's_ opinion, that whereas he gives not, that i remember, any instance of any mineral body, nor scarce of any animal, generated of water, a french chymist, _monsieur de rochas_, has presented his readers an experiment, which if it were punctually such as he has deliver'd it, is very notable. he then, discoursing of the generation of things according to certain chymical and metaphorical notions (which i confess are not to me intelligible) sets down, among divers speculations not pertinent to our subject, the following narrative, which i shall repeat to you the sence of in english, with as little variation from the literal sence of the french words, as my memory will enable me. _having_ (sayes he) _discern'd such great wonders by the natural operation of water, i would know what may be done with it by art imitating nature. wherefore i took water which i well knew not to be compounded, nor to be mix'd with any other thing than that spirit of life_ (whereof he had spoken before;) _and with a heat artificial, continual and proportionate, i prepar'd and dispos'd it by the above mention'd graduations of coagulation, congelation, and fixation, untill it was turn'd into earth, which earth produc'd animals, vegetables and minerals. i tell not what animals, vegetables and minerals, for that is reserv'd for another occasion: but the animals did move of themselves, eat, &c.--and by the true anatomie i made of them, i found that they were compos'd of much sulphur, little mercury, and less salt.--the minerals began to grow and encrease by converting into their own nature one part of the earth thereunto dispos'd; they were solid and heavy. and by this truly demonstrative science, namely chymistry, i found that they were compos'd of much salt, little sulphur, and less mercury._ [footnote : universarum rerum primordia diverta esse, faciendi autem mundi initium aquam. strabo. geograp. lib. . circa medium.] [footnote : deuter. . .] [footnote : jerem. . .] but (sayes _carneades_) i have some suspitions concerning this strange relation, which make me unwilling to declare an opinion of it, unless i were satisfied concerning divers material circumstances that our author has left unmentioned; though as for the generation of living creatures, both vegetable and sensitive, it needs not seem incredible, since we finde that our common water (which indeed is often impregnated with variety of seminal principles and rudiments) being long kept in a quiet place will putrifie and stink, and then perhaps too produce moss and little worms, or other insects, according to the nature of the seeds that were lurking in it. i must likewise desire you to take notice, that as _helmont_ gives us no instance of the production of minerals out of water, so the main argument that he employ's to prove that they and other bodies may be resolv'd into water, is drawn from the operations of his _alkahest_, and consequently cannot be satisfactorily examin'd by you and me. yet certainly (sayes _eleutherius_) you cannot but have somewhat wonder'd as well as i, to observe how great a share of water goes to the making up of divers bodies, whose disguises promise nothing neere so much. the distillation of eeles, though it yielded me some oyle, and spirit, and volatile salt, besides the _caput mortuum_, yet were all these so disproportionate to the phlegm that came from them (and in which at first they boyl'd as in a pot of water) that they seem'd to have bin nothing but coagulated phlegm, which does likewise strangely abound in vipers, though they are esteem'd very hot in operation, and will in a convenient aire survive some dayes the loss of their heads and hearts, so vigorous is their vivacity. mans bloud it self as spirituous, and as elaborate a liquor as 'tis reputed, does so abound in phlegm, that, the other day, distilling some of it on purpose to try the experiment (as i had formerly done in deers bloud) out of about seven ounces and a half of pure bloud we drew neere six ounces of phlegm, before any of the more operative principles began to arise, and invite us to change the receiver. and to satisfie my self that some of these animall phlegms were void enough of spirit to deserve that name, i would not content my self to taste them only, but fruitlesly pour'd on them acid liquors, to try if they contain'd any volatile salt or spirit, which (had there been any there) would probably have discover'd it self by making an ebullition with the affused liquor. and now i mention corrosive spirits, i am minded to informe you, that though they seem to be nothing else but fluid salts, yet they abound in water, as you may observe, if either you entangle, and so fix their saline part, by making them corrode some idoneous body, or else if you mortifie it with a contrary salt; as i have very manifestly observ'd in the making a medecine somewhat like _helmont's balsamus samech_, with distill'd vinager instead of spirit of wine, wherewith he prepares it: for you would scarce beleeve (what i have lately observ'd) that of that acid spirit, the salt of tartar, from which it is distill'd, will by mortifying and retaining the acid salt turn into worthless phlegm neere twenty times its weight, before it be so fully impregnated as to rob no more distill'd vinager of its salt. and though spirit of wine exquisitely rectify'd seem of all liquors to be the most free from water, it being so igneous that it will flame all away without leaving the least drop behinde it, yet even this fiery liquor is by _helmont_ not improbably affirm'd, in case what he relates be true, to be materially water, under a sulphureous disguise: for, according to him, in the making that excellent medecine, _paracelsus_ his _balsamus samech_, (which is nothing but _sal tartari_ dulcify'd by distilling from it spirit of wine till the salt be sufficiently glutted with its sulphur, and suffer [errata: and till it suffer] the liquor to be drawn off, as strong as it was pour'd on) when the salt of tartar from which it is distill'd hath retain'd, or depriv'd it of the sulphureous parts of the spirit of wine, the rest, which is incomparably the greater part of the liquor, will remigrate into phlegm. i added that clause [_in case what he relates be true_] because i have not as yet sufficiently try'd it my self. but not only something of experiment keeps me from thinking it, as many chymists do, absurd, (though i have, as well as they, in vain try'd it with ordinary salt of tartar;) but besides that _helmont_ often relates it, and draws consequences from it; a person noted for his sobernesse and skill in spagyrical preparations, having been askt by me, whether the experiment might not be made to succeed, if the salt and spirit were prepar'd according to a way suitable to my principles, he affirm'd to me, that he had that way i propos'd made _helmont's_ experiment succeed very well, without adding any thing to the salt and spirit. but our way is neither short nor easie. i have indeed (sayes _carneades_) sometimes wonder'd to see how much phlegme may be obtain'd from bodies by the fire. but concerning that phlegme i may anon have occasion to note something, which i therefore shall not now anticipate. but to return to the opinion of _thales_, and of _helmont_, i consider, that supposing the _alkahest_ could reduce all bodies into water, yet whether that water, because insipid, must be elementary, may not groundlesly be doubted; for i remember the candid and eloquent _petrus laurembergius_ in his notes upon _sala's_ aphorismes affirmes, that he saw an insipid _menstruum_ that was a powerfull dissolvent, and (if my memory do not much mis-informe me) could dissolve gold. and the water which may be drawn from quicksilver without addition, though it be almost tastless, you will i believe think of a differing nature from simple water, especially if you digest in it appropriated mineralls. to which i shall add but this, that this consideration may be further extended. for i see no necessity to conceive that the water mention'd in the beginning of _genesis_, as the universal matter, was simple and elementary water; since though we should suppose it to have been an agitated congeries or heap consisting of a great variety of seminal principles and rudiments, and of other corpuscles fit to be subdu'd and fashion'd by them, it might yet be a body fluid like water, in case the corpuscles it was made up of, were by their creator made small enough, and put into such an actuall motion as might make them glide along one another. and as we now say, the sea consists of water, notwithstanding [errata: (notwithstanding] the saline, terrestrial, and other bodies mingl'd with it,) such a liquor may well enough be called water, because that was the greatest of the known bodies whereunto it was like; though, that a body may be fluid enough to appear a liquor, and yet contain corpuscles of a very differing nature, you will easily believe, if you but expose a good quantity of vitriol in a strong vessel to a competent fire. for although it contains both aqueous, earthy, saline, sulphureous, and metalline corpuscles, yet the whole mass will at first be fluid like water, and boyle like a seething pot. i might easily (continues _carneades_) enlarge my self on such considerations, if i were now oblig'd to give you my judgment of the _thalesian_, and _helmontian_, _hypothesis_. but whether or no we conclude that all things were at first generated of water, i may deduce from what i have try'd concerning the growth of vegetables, nourish'd with water, all that i now propos'd to my self or need at present to prove, namely that salt, spirit, earth, and ev'n oyl (though that be thought of all bodies the most opposite to water) may be produc'd out of water; and consequently that a chymical principle as well as a peripatetick element, may (in some cases) be generated anew, or obtain'd from such a parcel of matter as was not endow'd with the form of such a principle or element before. and having thus, _eleutherius_, evinc'd that 'tis possible that such substances as those that chymists are wont to call their _tria prima_, may be generated, anew: i must next endeavour to make it probable, that the operation of the fire does actually (sometimes) not only divide compounded bodies into smal parts, but compound those parts after a new manner; whence consequently, for ought we know, there may emerge as well saline and sulphureous substances, as bodies of other textures. and perhaps it will assist us in our enquiry after the effects of the operations of the fire upon other bodies, to consider a little, what it does to those mixtures which being productions of the art of man, we best know the composition of. you may then be pleas'd to take notice that though sope is made up by the sope-boylers of oyle or grease, and salt, and water diligently incorporated together, yet if you expose the mass they constitute to a graduall fire in a retort, you shall then indeed make a separation, but not of the same substances that were united into sope, but of others of a distant and yet not an elementary nature, and especially of an oyle very sharp and fætid, and of a very differing quality from that which was employ'd to make the sope: fo [errata: so] if you mingle in a due proportion, _sal armoniack_ with quick-lime, and distill them by degrees of fire, you shall not divide the _sal armoniack_ from the quick-lime, though the one be a volatile, and the other a fix'd substance, but that which will ascend will be a spirit much more fugitive, penetrant, and stinking, then _sal armoniack_; and there will remain with the quick-lime all or very near all the sea salt that concurr'd to make up the _sal armoniack_; concerning which sea salt i shall, to satisfie you how well it was united to the lime, informe you, that i have by making the fire at length very vehement, caus'd both the ingredients to melt in the retort it self into one mass and such masses are apt to relent in the moist air. if it be here objected, that these instances are taken from factitious concretes which are more compounded then those which nature produces; i shall reply, that besides that i have mention'd them as much to illustrate what i propos'd, as to prove it, it will be difficult to evince that nature her self does not make decompound bodies, i mean mingle together such mixt bodies as are already compounded of elementary, or rather of more simple ones. for vitriol (for instance) though i have sometimes taken it out of minerall earths, where nature had without any assistance of art prepar'd it to my hand, is really, though chymists are pleas'd to reckon it among salts, a de-compounded body consisting (as i shall have occasion to declare anon) of a terrestriall substance, of a metal, and also of at least one saline body, of a peculiar and not elementary nature. and we see also in animals, that their blood may be compos'd of divers very differing mixt bodies, since we find it observ'd that divers sea-fowle tast rank of the fish on which they ordinarily feed; and _hipocrates_ himself observes, that a child may be purg'd by the milke of the nurse, if she have taken _elaterium_; which argues that the purging corpuscles of the medicament concurr to make up the milke of the nurse; and that white liquor is generally by physitians suppos'd to be but blanch'd and alter'd blood. and i remember i have observ'd, not farr from the _alps_, that at a certain time of the year the butter of that country was very offensive to strangers, by reason of the rank tast of a certain herb, whereon the cows were then wont plentifully to feed. but (proceeds _carneades_) to give you instances of another kind, to shew that things may be obtain'd by the fire from a mixt body that were not pre-existent in it, let me remind you, that from many vegetables there may without any addition be obtain'd glass, a body, which i presume you will not say was pre-existent in it, but produc'd by the fire. to which i shall add but this one example more, namely that by a certain artificial way of handling quicksilver, you may without addition separate from it at least a th. or th. part of a clear liquor, which with an ordinary peripatetick would pass for water, and which a vulgar chymist would not scruple to call phlegme, and which, for ought i have yet seen or heard, is not reducible into mercury again, and consequently is more then a disguise of it. now besides that divers chymists will not allow mercury to have any or at least any considerable quantity of either of the ignoble ingredients, earth and water; besides this, i say, the great ponderousness of quicksilver makes it very unlikely that it can have so much water in it as may be thus obtain'd from it, since mercury weighs or times as much as water of the same bulk. nay for a further confirmation of this argument, i will add this strange relation, that two friends of mine, the one a physitian, and the other a mathematician, and both of them persons of unsuspected credit, have solemnly assured me, that after many tryals they made, to reduce mercury into water, in order to a philosophicall work, upon gold (which yet, by the way, i know prov'd unsuccesfull) they did once by divers cohobations reduce a pound of quicksilver into almost a pound of water, and this without the addition of any other substance, but only by pressing the mercury by a skillfully manag'd fire in purposely contriv'd vessels. but of these experiments our friend (sayes _carneades_, pointing at the register of this dialogue) will perhaps give you a more particular account then it is necessary for me to do: since what i have now said may sufficiently evince, that the fire may sometimes as well alter bodies as divide them, and by it we may obtain from a mixt body what was not pre-existent in it. and how are we sure that in no other body what we call phlegme is barely separated, not produc'd by the action of the fire: since so many other mixt bodies are of a much less constant, and more alterable nature, then mercury, by many tricks it is wont to put upon chymists, and by the experiments i told you of, about an hour since, appears to be. but because i shall ere long have occasion to resume into consideration the power of the fire to produce new concretes, i shall no longer insist on this argument at present; only i must mind you, that if you will not dis-believe _helmonts_ relations, you must confess that the _tria prima_ are neither ingenerable nor incorruptible substances; since by his _alkahest_ some of them may be produc'd of bodies that were before of another denomination; and by the same powerfull _menstruum_ all of them may be reduc'd into insipid water. here _carneades_ was about to pass on to his third consideration, when _eleutherius_ being desirous to hear what he could say to clear his second general consideration from being repugnant to what he seem'd to think the true theory of mistion, prevented him by telling him, i somewhat wonder, _carneades_, that you, who are in so many points unsatisfied with the peripatetick opinion touching the elements and mixt bodies, should also seem averse to that notion touching the manner of mistion, wherein the chymists (though perhaps without knowing that they do so) agree with most of the antient philosophers that preceded _aristotle_, and that for reasons so considerable, that divers modern naturalists and physitians, in other things unfavourable enough to the spagyrists, do in this case side with them against the common opinion of the schools. if you should ask me (continues _eleutherius_) what reasons i mean? i should partly by the writings of _sennertus_ and other learned men, and partly by my own thoughts, be supply'd with more, then 'twere at present proper for me to insist largely on. and therefore i shall mention only, and that briefly, three or four. of these, i shall take the first from the state of the controversie itself, and the genuine notion of mistion, which though much intricated by the schoolmen, i take in short to be this, _aristotle_, at least as many of his interpreters expound him, and as indeed he teaches in some places, where he professedly dissents from the antients, declares mistion to be such a mutual penetration, and perfect union of the mingl'd elements, that there is no portion of the mixt body, how minute soever, which does not contain all, and every of the four elements, or in which, if you please, all the elements are not. and i remember, that he reprehends the mistion taught by the ancients, as too sleight or gross, for this reason, that bodies mixt according to their _hypothesis_, though they appear so to humane eyes, would not appear such to the acute eyes of a _lynx_, whose perfecter sight would discerne the elements, if they were no otherwise mingled, than as his predecessors would have it, to be but blended, not united; whereas the antients, though they did not all agree about what kind of bodies were mixt, yet they did almost unanimously hold, that in a compounded bodie, though the _miscibilia_, whether elements, principles, or whatever they pleas'd to call them, were associated in such small parts, and with so much exactness, that there was no sensible part of the mass but seem'd to be of the same nature with the rest, and with the whole; yet as to the atomes, or other insensible parcels of matter, whereof each of the _miscibilia_ consisted, they retain'd each of them its own nature, being but by apposition or _juxta_-position united with the rest into one bodie. so that although by virtue of this composition the mixt body did perhaps obtain divers new qualities, yet still the ingredients that compounded it, retaining their own nature, were by the destruction of the _compositum_ separable from each other, the minute parts disingag'd from those of a differing nature, and associated with those of their own sort returning to be again, fire, earth, or water, as they were before they chanc'd to be ingredients of that _compositum_. this may be explain'd (continues _eleutherius_,) by a piece of cloath made of white and black threds interwoven, wherein though the whole piece appear neither white nor black, but of a resulting colour, that is gray, yet each of the white and black threds that compose it, remains what it was before, as would appear if the threds were pull'd asunder, and sorted each colour by it self. this (pursues _eleutherius_) being, as i understand it, the state of the controversie, and the _aristotelians_ after their master commonly defining, that mistion is _miscibilium alteratorum unio_, that seems to comport much better with the opinion of the chymists, then with that of their adversaries, since according to that as the newly mention'd example declares, there is but a _juxta_-position of separable corpuscles, retaining each its own nature, whereas according to the _aristotelians_, when what they are pleas'd to call a mixt body results from the concourse of the elements, the _miscibilia_ cannot so properly be said to be alter'd, as destroy'd, since there is no part in the mixt body, how small soever, that can be call'd either fir [transcriber's note: fire], or air, or water, or earth. nor indeed can i well understand, how bodies can be mingl'd other wayes then as i have declar'd, or at least how they can be mingl'd, as our peripateticks would have it. for whereas _aristotle_ tells us, that if a drop of wine be put into ten thousand measures of water, the wine being overpower'd by so vast a quantity of water will be turn'd into it, he speaks to my apprehension, very improbably; for though one should add to that quantity of water as many drops of wine as would a thousand times exceed it all, yet by his rule the whole liquor should not be a _crama_, a mixture of wine and water, wherein the wine would be predominant, but water only; since the wine being added but by a drop at a time would still fall into nothing but water, and consequently would be turn'd into it. and if this would hold in metals too, 'twere a rare secret for goldsmiths, and refiners; for by melting a mass of gold, or silver, and by but casting into it lead or antimony, grain after grain, they might at pleasure, within a reasonable compass of time, turn what quantity they desire, of the ignoble into the noble metalls. and indeed since a pint of wine, and a pint of water, amount to about a quart of liquor, it seems manifest to sense, that these bodies doe not totally penetrate one another, as one would have it; but that each retains its own dimensions; and consequently, that they are by being mingl'd only divided into minute bodies, that do but touch one another with their surfaces, as do the grains, of wheat, rye, barley, &c. in a heap of severall sorts of corn: and unless we say, that as when one measure of wheat, for instance, is blended with a hundred measures of barley, there happens only a _juxta_-position and superficial contact betwixt the grains of wheat, and as many or thereabouts of the grains of barley. so when a drop of wine is mingl'd with a great deal of water, there is but an apposition of so many vinous corpuscles to a correspondent number of aqueous ones; unless i say this be said, i see not how that absurdity will be avoyded, whereunto the stoical notion of mistion (namely by [greek: synchysis] [errata: [greek: synchysis]], or confusion) was liable, according to which the least body may be co-extended with the greatest: since in a mixt body wherein before the elements were mingl'd there was, for instance, but one pound of water to ten thousand of earth, yet according to them there must not be the least part of that compound, that consisted not as well of earth, as water. but i insist, perhaps, too long (sayes _eleutherius_) upon the proofs afforded me by the nature of mistion: wherefore i will but name two or three other arguments; whereof the first shall be, that according to _aristotle_ himself, the motion of a mixt body followes the nature of the predominant element, as those wherein the earth prevails, tend towards the centre of heavy bodies. and since many things make it evident, that in divers mixt bodies the elementary qualities are as well active, though not altogether so much so as in the elements themselves, it seems not reasonable to deny the actual existence of the elements in those bodies wherein they operate. to which i shall add this convincing argument, that experience manifests, and _aristotle_ confesses it, that the _miscibilia_ may be again separated from a mixt body, as is obvious in the chymical resolutions of plants and animalls, which could not be unless they did actually retain their formes in it: for since, according to _aristotle_, and i think according to truth, there is but one common mass of all things, which he has been pleas'd to call _materia prima_; and since tis not therefore the matter but the forme that constitutes and discriminates things, to say that the elements remain not in a mixt body, according to their formes, but according to their matter, is not to say that they remain there at all; since although those portions of matter were earth and water, &c. before they concurr'd, yet the resulting body being once constituted, may as well be said to be simple as any of the elements, the matter being confessedly of the same nature in all bodies, and the elementary formes being according to this _hypothesis_ perish'd and abolish'd. and lastly, and if we will consult chymical experiments, we shall find the advantages of the chymical doctrine above the peripatetick title little less then palpable. for in that operation that refiners call quartation, which they employ to purifie gold, although three parts of silver be so exquisitely mingl'd by fusion with a fourth part of gold (whence the operation is denominated) that the resulting mass acquires severall new qualities, by virtue of the composition, and that there is scarce any sensible part of it that is not compos'd of both the metalls; yet if you cast this mixture into _aqua fortis_, the silver will be dissolv'd in the _menstruum_, and the gold like a dark or black powder will fall to the bottom of it, and either body may be again reduc'd into such a metal as it was before, which shews: that it retain'd its nature, notwithstanding its being mixt _per minima_ with the other: we likewise see, that though one part of pure silver be mingled with eight or ten parts, or more, of lead, yet the fire will upon the cuppel easily and perfectly separate them again. and that which i would have you peculiarly consider on this occasion is, that not only in chymicall anatomies there is a separation made of the elementary ingredients, but that some mixt bodies afford a very much greater quantity of this or that element or principle than of another; as we see, that turpentine and amber yield much more oyl and sulphur than they do water, whereas wine, which is confess'd to be a perfectly mixt bodie, yields but a little inflamable spirit, or sulphur, and not much more earth; but affords a vast proportion of phlegm or water: which could not be, if as the peripateticks suppose, every, even of the minutest particles, were of the same nature with the whole, and consequently did contain both earth and water, and aire, and fire; wherefore as to what _aristotle_ principally, and almost only objects, that unless his opinion be admitted, there would be no true and perfect mistion, but onely aggregates or heaps of contiguous corpuscles, which, though the eye of man cannot discerne, yet the eye of a _lynx_ might perceive not to be of the same nature with one another and with their _totum_, as the nature of mistion requires, if he do not beg the question, and make mistion to consist in what other naturalists deny to be requisite to it, yet he at least objects that as a great inconvenience which i cannot take for such, till he have brought as considerable arguments as i have propos'd to prove the contrary, to evince that nature makes other mistions than such as i have allowed, wherein the _miscibilia_ are reduc'd into minute parts, and united as farr as sense can discerne: which if you will not grant to be sufficient for a true mistion, he must have the same quarrel with nature her self, as with his adversaries. wherefore (continues _eleutherius_) i cannot but somewhat marvail that _carneades_ should oppose the doctrine of the chymist in a particular, wherein they do as well agree with his old mistress, nature, as dissent from his old adversary, _aristotle_. i must not (replies _carneades_) engage my self at present to examine thorowly the controversies concerning mistion: and if there were no third thing, but that i were reduc'd to embrace absolutely and unreservedly either the opinion of _aristotle_, or that of the philosophers that went before him, i should look upon the latter, which the chymists have adopted, as the more defensible opinion: but because differing in the opinions about the elements from both parties, i think i can take a middle course, and discourse to you of mistion after a way that does neither perfectly agree, nor perfectly disagree with either, as i will not peremptorily define, whether there be not cases wherein some _phænomena_ of mistion seem to favour the opinion that the chymists patrons borrow'd of the antients, i shall only endeavour to shew you that there are some cases which may keep the doubt, which makes up my second general consideration from being unreasonable. i shall then freely acknowledge to you (sayes _carneades_) that i am not over well satisfi'd with the doctrine that is ascribed to _aristotle_, concerning mistion, especially since it teaches that the four elements may again be separated from the mixt body; whereas if they continu'd not in it, it would not be so much a separation as a production. and i think the ancient philosophers that preceded _aristotle_, and chymists who have since receiv'd the same opinion, do speak of this matter more intelligibly, if not more probably, then the peripateticks: but though they speak congruously enough, to their believing, that there are a certain number of primogeneal bodies, by whose concourse all those we call mixts are generated, and which in the destruction of mixt bodies do barely part company, and recede from one another, just such as they were when they came together; yet i, who meet with very few opinions that i can entirely acquiesce in, must confess to you that i am inclin'd to differ not only from the _aristotelians_, but from the old philosophers and the chymists, about the nature of mistion: and if you will give me leave, i shall briefly propose to you my present notion of it, provided you will look upon it, not so much as an assertion as an _hypothesis_; in talking of which i do not now pretend to propose and debate the whole doctrine of mistion, but to shew that 'tis not improbable, that sometimes mingl'd substances may be so strictly united, that it doth not by the usuall operations of the fire, by which chymists are wont to suppose themselves to have made the _analyses_ of mixt bodies, sufficiently appear, that in such bodies the _miscibilia_ that concurr'd to make them up do each of them retain its own peculiar nature: and by the _spagyrists_ fires may be more easily extricated and recover'd, than alter'd, either by a change of texture in the parts of the same ingredient, or by an association with some parts of another ingredient more strict than was that of the parts of this or that _miscibile_ among themselves. at these words _eleu._ having press'd him to do what he propos'd, and promis'd to do what he desir'd; i consider then (resumes _carneades_) that, not to mention those improper kinds of mistion, wherein _homogeneous_ bodies are joyn'd, as when water is mingl'd with water, or two vessels full of the same kind of wine with one another, the mistion i am now to discourse of seems, generally speaking, to be but an union _per minima_ of any two or more bodies of differing denominations; as when ashes and sand are colliquated into glass or antimony, and iron into _regulus martis_, or wine and water are mingl'd, and sugar is dissolv'd in the mixture. now in this general notion of mistion it does not appear clearly comprehended, that the _miscibilia_ or ingredients do in their small parts so retain their nature and remain distinct in the compound, that they may thence by the fire be again taken asunder: for though i deny not that in some mistions of certain permanent bodies this recovery of the same ingredients may be made, yet i am not convinc'd that it will hold in all or even in most, or that it is necessarily deducible from chymicall experiments, and the true notion of mistion. to explain this a little, i assume, that bodies may be mingl'd, and that very durably, that are not elementary or resolv'd [errata: nor have been resolved] into elements or principles that they may be mingl'd; as is evident in the _regulus_ of colliquated antimony, and iron newly mention'd; and in gold coyne, which lasts so many ages; wherein generally the gold is alloy'd by the mixture of a quantity, greater or lesser, (in our mints they use about a th. part) of either silver, or copper, or both. next, i consider, that there being but one universal matter of things, as 'tis known that the _aristotelians_ themselves acknowledge, who call it _materia prima_ (about which nevertheless i like not all their opinions,) the portions of this matter seem to differ from one another, but in certain qualities or accidents, fewer or more; upon whose account the corporeal substance they belong to receives its denomination, and is referr'd to this or that particular sort of bodies; so that if it come to lose, or be depriv'd of those qualities, though it ceases not to be a body, yet it ceases from being that kind of body as a plant, or animal; or red, green, sweet, sowre, or the like. i consider that it very often happens that the small parts of bodies cohere together but by immediate contact and rest; and that however, there are few bodies whose minute parts stick so close together, to what cause soever their combination be ascrib'd, but that it is possible to meet with some other body, whose small parts may get between them, and so dis-joyn them; or may be fitted to cohere more strongly with some of them, then those some do with the rest; or at least may be combin'd so closely with them, as that neither the fire, nor the other usual instruments of chymical anatomies will separate them. these things being promis'd, i will not peremptorily deny, but that there may be some clusters of particles, wherein the particles are so minute, and the coherence so strict, or both, that when bodies of differing denominations, and consisting of such durable clusters, happen to be mingl'd, though the compound body made up of them may be very differing from either of the ingredients, yet each of the little masses or clusters may so retain its own nature, as to be again separable, such as it was before. as when gold and silver being melted together in a due proportion (for in every proportion, the refiners will tell you that the experiment will not succeed) _aqua fortis_ will dissolve the silver, and leave the gold untoucht; by which means, as you lately noted, both the metalls may be recover'd from the mixed mass. but (continues _carneades_) there are other clusters wherein the particles stick not so close together, but that they may meet with corpuscles of another denomination, which are dispos'd to be more closely united with some of them, then they were among themselves. and in such case, two thus combining corpuscles losing that shape, or size, or motion, or other accident, upon whose account they were endow'd with such a determinate quality or nature, each of them really ceases to be a corpuscle of the same denomination it was before; and from the coalition of these there may emerge a new body, as really one, as either of the corpuscles was before they were mingl'd, or, if you please, confounded: since this concretion is really endow'd with its own distinct qualities, and can no more by the fire, or any other known way of _analysis_, be divided again into the corpuscles that at first concurr'd to make it, than either of them could by the same means be subdivided into other particles. but (sayes _eleutherius_) to make this more intelligible by particular examples; if you dissolve copper in _aqua fortis_, or spirit of nitre, (for i remember not which i us'd, nor do i think it much material) you may by crystalizing the solution obtain a goodly vitriol; which though by virtue of the composition it have manifestly diverse qualities, not to be met with in either of the ingredients, yet it seems that the nitrous spirits, or at least many of them, may in this compounded mass retain their former nature; for having for tryal sake distill'd this vitrioll spirit, there came over store of red fumes, which by that colour, by their peculiar stinke, and by their sourness, manifested themselves to be, nitrous spirits; and that the remaining calx continu'd copper, i suppose you'l easily beleeve. but if you dissolve _minium_, which is but lead powder'd by the fire, in good spirit of vinager, and crystalize the solution, you shall not only have a saccharine salt exceedingly differing from both its ingredients; but the union of some parts of the _menstruum_ with some of those of the metal is so strict, that the spirit of vinager seems to be, as such, destroy'd, since the saline corpuscles have quite lost that acidity, upon whose account the liquor was call'd spirit of vinager; nor can any such acid parts as were put to the _minium_ be separated by any known way from the _saccharum saturni_ resulting from them both; for not only there is no sowrness at all, but an admirable sweetness to be tasted in the concretion; and not only i found not that spirit of wine, which otherwise will immediately hiss when mingl'd with strong spirit of vinager, would hiss being pour'd upon _saccharum saturni_, wherein yet the acid salt of vinager, did it survive, may seem to be concentrated; but upon the distillation of _saccharum saturni_ by its self i found indeed a liquor very penetrant, but not at all acid, and differing as well in smell and other qualities, as in tast, from the spirit of vinager; which likewise seem'd to have left some of its parts very firmly united to the _caput mortuum_, which though of a leaden nature was in smell, colour, &c. differing from _minium_; which brings into my mind, that though two powders, the one blew, and the other yellow, may appear a green mixture, without either of them losing its own colour, as a good microscope has sometimes inform'd me; yet having mingl'd _minium_ and _sal armoniack_ in a requisite proportion, and expos'd them in a glass vessel to the fire, the whole mass became white, and the red corpuscles were destroy'd; for though the calcin'd lead was separable from the salt, yet you'l easily beleeve it did not part from it in the forme of a red powder, such as was the _minium_, when it was put to the _sal armoniack_. i leave it also to be consider'd, whether in blood, and divers other bodies, it be probable, that each of the corpuscles that concurr to make a compound body doth, though some of them in some cases may, retain its own nature in it, so that chymsts [transcriber's note: chymists] may extricate each sort of them from all the others, wherewith it concurr'd to make a body of one denomination. i know there may be a distinction betwixt matter _immanent_, when the material parts remain and retain their own nature in the things materiated, as some of the schoolmen speak, (in which sence wood, stones and lime are the matter of a house,) and _transient_, which in the materiated thing is so alter'd, as to receive a new forme, without being capable of re-admitting again the old. in which sence the friends of this distinction say, that _chyle_ is the matter of blood, and blood that of a humane body, of all whose parts 'tis presum'd to be the aliment. i know also that it may be said, that of material principles, some are _common_ to all mixt bodies, as _aristotles_ four elements, or the chymists _tria prima_; others _peculiar_, which belong to this or that sort of bodies; as butter and a kind of whey may be said to be the proper principles of cream: and i deny not, but that these distinctions may in some cases be of use; but partly by what i have said already, and partly by what i am to say, you may easily enough guess in what sence i admit them, and discerne that in such a sence they will either illustrate some of my opinions, or at least will not overthrow any of them. to prosecute then what i was saying before, i will add to this purpose, that since the major part of chymists credit, what those they call philosophers affirme of their stone, i may represent to them, that though when common gold and lead are mingled together, the lead may be sever'd almost un-alter'd from the gold; yet if instead of gold a _tantillum_ of the red _elixir_ be mingled with the saturn, their union will be so indissoluble in the perfect gold that will be produc'd by it, that there is no known, nor perhaps no possible way of separating the diffus'd _elixir_ from the fixed lead, but they both constitute a most permanent body, wherein the saturne seems to have quite lost its properties that made it be call'd lead, and to have been rather transmuted by the _elixir_, then barely associated to it. so that it seems not alwayes necessary, that the bodies that are put together _per minima_, should each retain its own nature; so as when the mass it self is dissipated by the fire, to be more dispos'd to re-appear in its pristine forme, then in any new one, which by a stricter association of its parts with those of some of the other ingredients of the _compositum_, then with one another, it may have acquired. and if it be objected, that unless the _hypothesis_ i oppose be admitted, in such cases as i have proposed there would not be an union but a destruction of mingled bodies, which seems all one as to say, that of such bodies there is no mistion at all; i answer, that _though_ the substances that are mingl'd remain, only their accidents are destroy'd, and _though_ we may with tollerable congruity call them _miscibilia_, because they are distinct bodies before they are put together, however afterwards they are so confounded that i should rather call them concretions, or resulting bodies, than mixt ones; and _though_, perhaps, some other and better account may be propos'd, upon which the name of mistion may remain; yet if what i have said be thought reason, i shall not wrangle about words, though i think it fitter to alter a terme of art, then reject a new truth, because it suits not with it. if it be also objected that this notion of mine, concerning mixtion, though it may be allow'd, when bodies already compounded are put to be mingl'd, yet it is not applicable to those mixtions that are immediately made of the elements, or principles themselves; i answer in the first place, that i here consider the nature of mixtion somewhat more generally, then the chymists, who yet cannot deny that there are oftentimes mixtures, and those very durable ones, made of bodies that are not elementary. and in the next place, that though it may be probably pretended that in those mixtures that are made immediately of the bodies that are call'd principles or elements, the mingl'd ingredients may better retain their own nature in the compounded mass, and be more easily separated from thence; yet, besides that it may be doubted, whether there be any such primary bodies, i see not why the reason i alleadg'd, of the destructibility of the ingredients of bodies in general, may not sometimes be applicable to salt sulphur or mercury; 'till it be shewn upon what account we are to believe them priviledged. and however, (if you please but to recall to mind, to what purpose i told you at first, i meant to speak of mistion at this time) you will perhaps allow that what i have hitherto discoursed about it may not only give some light to the nature of it in general (especially when i shall have an opportunity to declare to you my thoughts on that subject more fully) but may on some occasions also be serviceable to me in the insuing part of this discourse. but, to look back now to that part of our discourse, whence this excursion concerning mistion has so long diverted us, though we there deduc'd, from the differing substances obtained from a plant nourished only with water, and from some other things, that it was not necessary that nature should alwaies compound a body at first of all such differing bodies as the fire could afterwards make it afford; yet this is not all that may be collected from those experiments. for from them there seems also deducible something that subverts an other foundation of the chymical doctrine. for since that (as we have seen) out of fair water alone, not only spirit, but oyle, and salt, and earth may be produced; it will follow that salt and sulphur are not primogeneal bodies, and principles, since they are every day made out of plain water by the texture which the seed or seminal principle of plants puts it into. and this would not perhaps seem so strange, if through pride, or negligence, we were not wont to overlook the obvious and familiar workings of nature; for if we consider what slight qualities they are that serve to denominate one of the _tria prima_, we shall find that nature do's frequently enough work as great alterations in divers parcells of matter: for to be readily dissoluble in water, is enough to make the body that is so, passe for a salt. and yet i see not why from a new shufling and disposition of the component particles of a body, it should be much harder for nature to compose a body dissoluble in water, of a portion of water that was not so before, then of the liquid substance of an egg, which will easily mix with water, to produce by the bare warmth of a hatching hen, membrans, feathers, tendons, and other parts, that are not dissoluble in water as that liquid substance was: nor is the hardness and brittleness of salt more difficult for nature to introduce into such a yielding body as water, then it is for her to make the bones of a chick out of the tender substance of the liquors of an egg. but instead of prosecuting this consideration, as i easily might, i will proceed, as soon as i have taken notice of an objection that lies in my way. for i easily foresee it will be alledged, that the above mentioned examples are all taken from plants, and animals, in whom the matter is fashioned by the plastick power of the seed, or something analogous thereunto. whereas the fire do's not act like any of the seminal principles, but destroyes them all, when they come within its reach. but to this i shall need at present to make but this easy answer, that whether it be a seminal principle, or any other which fashions that matter after those various manners i have mentioned to you, yet 'tis evident, that either by the plastick principle alone, or that and heat together, or by some other cause capable to contex the matter, it is yet possible that the matter may be anew contriv'd into such bodies. and 'tis only for the possibility of this that i am now contending. the sceptical chymist. _the third part._ what i have hitherto discours'd, _eleutherius_, (sayes his friend to him) has, i presume, shew'n you, that a considering man may very well question the truth of those very suppositions which chymists as well as peripateticks, without proving, take for granted; and upon which depends the validity of the inferences they draw from their experiments. wherefore having dispach't that, which though a chymist perhaps will not, yet i do, look upon as the most important, as well as difficult, part of my task, it will now be seasonable for me to proceed to the consideration of the experiments themselves, wherein they are wont so much to triumph and glory. and these will the rather deserve a serious examination, because those that alledge them are wont to do it with so much confidence and ostentation, that they have hitherto impos'd upon almost all persons, without excepting philosophers and physitians themselves, who have read their books, or heard them talk. for some learned men have been content rather to beleeve what they so boldly affirm, then be at the trouble and charge, to try whether or no it be true. others again, who have curiosity enough to examine the truth of what is averr'd, want skill and opportunity to do what they desire. and the generality even of learned men, seeing the chymists (not contenting themselves with the schools to amuse the world with empty words) actually perform'd divers strange things, and, among those resolve compound bodies into several substances not known by former philosophers to be contain'd in them: men i say, seeing these things, and hearing with what confidence chymists averr the substances obtain'd from compound bodies by the fire to be the true elements, or, (as they speak) hypostaticall principles of them, are forward to think it but just as well as modest, that according to the _logicians_ rule, the skilfull _artists_ should be credited in their own art; especially when those things whose nature they so confidently take upon them to teach others are not only productions of their own skill, but such as others know not else what to make of. but though (continues _carneades_) the chymists have been able upon some or other of the mention'd acounts, not only to delight but amaze, and almost to bewitch even learned men; yet such as you and i, who are not unpractis'd in the trade, must not suffer our selves to be impos'd upon by hard names, or bold assertions; nor to be dazl'd by that light which should but assist us to discern things the more clearly. it is one thing to be able to help nature to produce things, and another thing to understand well the nature of the things produc'd. as we see, that many persons that can beget children, are for all that as ignorant of the number and nature of the parts, especially the internal ones, that constitute a childs body, as they that never were parents. nor do i doubt, but you'l excuse me, if as i thank the chymists for the things their _analysis_ shews me, so i take the liberty to consider how many, and what they are, without being astonish'd at them; as if, whosoever hath skill enough to shew men some new thing of his own making, had the right to make them believe whatsoever he pleases to tell them concerning it. wherefore i will now proceed to my third general consideration, which is, that it does not appear, that _three_ is precisely and universally the number of the distinct substances or elements, whereinto mixt bodies are resoluble by the fire; i mean that 'tis not prov'd by chymists, that all the compound bodies, which are granted to be perfectly mixt, are upon their chymical _analysis_ divisible each of them into just three distinct substances, neither more nor less, which are wont to be lookt upon as elementary, or may as well be reputed so as those that are so reputed. which last clause i subjoyne, to prevent your objecting, that some of the substances i may have occasion to mention by and by, are not perfectly homogeneous, nor consequently worthy of the name of principles. for that which i am now to consider, is, into how many differing substances, that may plausibly pass for the elementary ingredients of a mix'd body, it may be analyz'd by the fire; but whether each of these be un-compounded, i reserve to examine, when i shall come to the next general consideration; where i hope to evince, that the substances which the chymists not only allow, but assert to be the component principles of the body resolv'd into them, are not wont to be uncompounded. now there are two kind of arguments (pursues _carneades_) which may be brought to make my third proposition seem probable; one sort of them being of a more speculative nature, and the other drawn from experience. to begin then with the first of these. but as _carneades_ was going to do as he had said, _eleutherius_ interrupted him, by saying with a somewhat smiling countenance; if you have no mind i should think, that the proverb, _that good wits have bad memories_, is rational and applicable to you, you must not forget now you are upon the speculative considerations, that may relate to the number of the elements; that your self did not long since deliver and concede some propositions in favour of the chymical doctrine, which i may without disparagement to you think it uneasie, even for _carneades_ to answer. i have not, replies he, forgot the concessions you mean; but i hope too, that you have not forgot neither with what cautions they were made, when i had not yet assumed the person i am now sustaining. but however, i shall to content you, so discourse of my third general consideration, as to let you see, that i am not unmindful of the things you would have me remember. to talk then again according to such principles as i then made use of, i shall represent, that if it be granted rational to suppose, as i then did, that the elements consisted at first of certain small and primary coalitions of the minute particles of matter into corpuscles very numerous, and very like each other, it will not be absurd to conceive, that such primary clusters may be of far more sorts then three or five; and consequently, that we need not suppose, that in each of the compound bodies we are treating of there should be found just three sorts of such primitive coalitions, as we are speaking of. and if according to this notion we allow a considerable number of differing elements, i may add, that it seems very possible, that to the constitution of one sort of mixt bodies two kinds of elementary ones may suffice (as i lately exemplify'd to you, in that most durable concrete, glass,) another sort of mixts may be compos'd of three elements, another of four, another of five, and another perhaps of many more. so that according to this notion, there can be no determinate number assign'd, as that of the elements; of all sorts of compound bodies whatsoever, it being very probable that some concretes consist of fewer, some of more elements. nay, it does not seem impossible, according to these principles, but that there may be two sorts of mixts, whereof the one may not have any of all the same elements as the other consists of; as we oftentimes see two words, whereof the one has not any one of the letters to be met with in the other; or as we often meet with diverse electuaries, in which no ingredient (except sugar) is common to any two of them. i will not here debate whether there may not be a multitude of these corpuscles, which by reason of their being primary and simple, might be called elementary, if several sorts of them should convene to compose any body, which are as yet free, and neither as yet contex'd and entangl'd with primary corpuscles of other kinds, but remains liable to be subdu'd and fashion'd by seminal principles, or the like powerful and transmuting agent, by whom they may be so connected among themselves, or with the parts of one of the bodies, as to make the compound bodies, whose ingredients they are, resoluble into more, or other elements then those that chymists have hitherto taken notice of. to all which i may add, that since it appears, by what i observ'd to you of the permanency of gold and silver, that even corpuscles that are not of an elementary but compounded nature, may be of so durable a texture, as to remain indissoluble in the ordinary _analysis_ that chymists make of bodies by the fire; 'tis not impossible but that, though there were but three elements, yet there may be a greater number of bodies, which the wonted wayes of anatomy will not discover to be no elementary bodies. but, sayes _carneades_, having thus far, in compliance to you, talk't conjecturally of the number of the elements, 'tis now time to consider, not of how many elements it is possible that nature may compound mix'd bodies, but (at least as farr as the ordinary experiments of chymists will informe us) of how many she doth make them up. i say then, that it does not by these sufficiently appear to me, that there is any one determinate number of elements to be uniformly met with in all the several sorts of bodies allow'd to be perfectly mixt. and for the more distinct proof of this proposition, i shall in the first place represent, that there are divers bodies, which i could never see by fire divided into so many as three elementary substances. i would fain (as i said lately to _philoponus_) see that fixt and noble metal we call gold separated into salt, sulphur and mercury: and if any man will submit to a competent forfeiture in case of failing, i shall willingly in case of prosperous successe pay both for the materials and the charges of such an experiment. 'tis not, that after what i have try'd my self i dare peremptorily deny, that there may out of gold be extracted a certain substance, which i cannot hinder chymists from calling its tincture or sulphur; and which leaves the remaining body depriv'd of its wonted colour. nor am i sure, that there cannot be drawn out of the same metal a real quick and running mercury. but for the salt of gold, i never could either see it, or be satisfied that there was ever such a thing separated, _in rerum natura_, by the relation of any credible eye witnesse. and for the several processes that promise that effect, the materials that must be wrought upon are somewhat too pretious and costly to be wasted upon so groundlesse adventures, of which not only the successe is doubtful, but the very possibility is not yet demonstrated. yet that which most deterres me from such tryalls, is not their chargeablenesse, but their unsatisfactorinesse, though they should succeed. for the extraction of this golden salt being in chymists processes prescribed to be effected by corrosive _menstruums_, or the intervention of other saline bodies, it will remain doubtful to a wary person, whether the emergent salt be that of the gold it self; or of the saline bodies or spirits employ'd to prepare it; for that such disguises of metals do often impose upon artists, i am sure _eleutherius_ is not so much a stranger to chymistry as to ignore. i would likewise willingly see the three principles separated from the pure sort of virgin-sand, from _osteocolla_, from refined silver, from quicksilver, freed from its adventitious sulphur, from _venetian_ talk [transcriber's note: talck], which by long detention in an extreme _reverberium_, i could but divide into smaller particles, (not the constituent principles,) nay, which, when i caused it to be kept, i know not how long, in a glasse-house fire, came out in the figure it's lumps had when put in, though alter'd to an almost _amethystine_ colour; and from divers other bodies, which it were now unnecessary to enumerate. for though i dare not absolutely affirme it to be impossible to analyze these bodies into their _tria prima_; yet because, neither my own experiments, nor any competent testimony hath hitherto either taught me how such an _analysis_ may be made, or satisfy'd me, that it hath been so, i must take the liberty to refrain from believing it, till the chymists prove it, or give us intelligible and practicable processes to performe what they pretend. for whilst they affect that _Ænigmatical_ obscurity with which they are wont to puzzle the readers of their divulg'd processes concerning the analyticall preparation of gold or mercury, they leave wary persons much unsatisfyed whether or no the differing substances, they promise to produce, be truly the hypostatical principles, or only some intermixtures of the divided bodies with those employ'd to work upon them, as is evident in the seeming crystalls of silver, and those of mercury; which though by some inconsiderately supposed to be the salts of those metalls, are plainly but mixtures of the metalline bodies, with the saline parts of _aqua fortis_ or other corrosive liquors; as is evident by their being reducible into silver or quicksilver, as they were before. i cannot but confesse (saith _eleutherius_) that though chymists may upon probable grounds affirm themselves able to obtain their _tria prima_, from animals and vegetables, yet i have often wondred that they should so confidently pretend also to resolve all metalline and other mineral bodies into salt, sulphur, and mercury. for 'tis a saying almost proverbial, among those chymists themselves that are accounted philosophers; and our famous countryman _roger bacon_ has particularly adopted it; that _facilius est aurum facere quam destruere_. and i fear, with you, that gold is not the only mineral from which chymists are wont fruitlessly to attempt the separating of their three principles. i know indeed (continues _eleutherius_) that the learned _sennertus_, even in that book where he takes not upon him to play the advocate for the chymists, but the umpier betwixt them and the peripateticks, expresses himself roundly, thus;[ ] _salem omnibus inesse (mixtis scilicet) & ex iis fieri posse omnibus in resolutionibus chymicis versatis notissimum est._ and in the next page, _quod de sale dixi_, saies he, _idem de sulphure dici potest_: but by his favour i must see very good proofs, before i believe such general assertions, how boldly soever made; and he that would convince me of their truth, must first teach me some true and practicable way of separating salt and sulphur from gold, silver, and those many different sort of stones, that a violent fire does not bring to lime, but to fusion; and not only i, for my own part, never saw any of those newly nam'd bodies so resolved; but _helmont_, who was much better vers'd in the chymical anatomizing of bodies then either _sennertus_ or _i_, has somewhere this resolute passage;[ ] _scio_ (saies he) _ex arena, silicibus & saxis, non calcariis, nunquam sulphur aut mercurium trahi posse_; nay _quercetanus_ himself, though the grand stickler for the _tria prima_, has this confession of the irresolubleness of diamonds;[ ] _adamas_ (saith he) _omnium factus lapidum solidissimus ac durissimus ex arctissima videlicet trium principiorum unione ac cohærentia, quæ nulla arte separationis in solutionem principiorum suorum spiritualium disjungi potest._ and indeed, pursues _eleutherius_, i was not only glad, but somewhat surprized to find you inclined to admit that there may be a sulphur and a running mercury drawn from gold; for unlesse you do (as your expression seem'd to intimate) take the word sulphur in a very loose sence, i must doubt whether our chymists can separate a sulphur from gold: for when i saw you make the experiment that i suppose invited you to speak as you did, i did not judge the golden tincture to be the true principle of sulphur extracted from the body, but an aggregate of some such highly colour'd parts of the gold, as a chymist would have called a _sulphur incombustible_, which in plain english seems to be little better than to call it a sulphur and no sulphur. and as for metalline mercuries, i had not _wondred_ at it, though you had expressed much more severity in speaking of them: for i remember that having once met an old and famous artist, who had long been (and still is) chymist to a great monarch, the repute he had of a very honest man invited me to desire him to tell me ingenuously whether or no, among his many labours, he had ever really extracted a true and running mercury out of metalls; to which question he freely replyed, that he had never separated a true mercury from any metal; nor had ever seen it really done by any man else. and though gold is, of all metalls, that, whose mercury chymists have most endeavoured to extract, and which they do the most brag they have extracted; yet the experienced _angelus sala_, in his _spagyrical_ account of the seven _terrestrial_ planets (that is the seven metalls) affords us this memorable testimony, to, our present purpose; _quanquam_ (saies he) _&c. experientia tamen (quam stultorum magistrum [errata: magistram] vocamus) certe comprobavit, mercurium auri adeo fixum, maturum, & arcte cum reliquis ejusdem corporis substantiis conjungi, ut nullo modo retrogredi possit._ to which he sub-joynes, that he himself had seen much labour spent upon that design, but could never see any such mercury produc'd thereby. and i easily beleeve what he annexes; _that he had often seen detected many tricks and impostures of cheating_ alchymists. for, the most part of those that are fond of such _charlatans_, being unskilfull or credulous, or both, 'tis very easie for such as have some skill, much craft, more boldness, and no conscience, to impose upon them; and therefore, though many profess'd _alchymists_, and divers persons of quality have told me that they have made or seen the mercury of gold, or of this or that other metal; yet i have been still apt to fear that either these persons have had a design to deceive others; or have not had skill and circumspection enough to keep themselves from being deceived. [footnote : sennert. lib. de cons. & dissens. pag. .] [footnote : helmon. pag. .] [footnote : quercet. apud billich. in thessalo redivivo. pag. .] you recall to my mind (sayes _carneades_) a certain experiment i once devis'd, innocently to deceive some persons, and let them and others see how little is to be built upon the affirmation of those that are either unskillfull or unwary, when they tell us they have seen _alchymists_ make the mercury of this or that metal; and to make this the more evident, i made my experiment much more slight, short and simple, than the chymists usuall processes to extract metalline mercuries; which operations being commonly more elaborate and intricate, and requiring a much more longer time, give the _alchymists_ a greater opportunity to cozen, and consequently are more obnoxious to the spectators suspicion. and that wherein i endeavour'd to make my experiment look the more like a true _analysis_, was, that i not only pretended as well as others to extract a mercury from the metal i wrought upon, but likewise to separate a large proportion of manifest and inflamable sulphur. i take then, of the filings of copper, about a drachme or two, of common sublimate, powder'd, the like weight, and _sal armoniack_ near about as much as of sublimate; these three being well mingl'd together i put into a small vial with a long neck, or, which i find better, into a glass urinall, which (having first stopped it with cotton) to avoid the noxious fumes, i approach by degrees to a competent fire of well kindled coals, or (which looks better, but more endangers the glass) to the flame of a candle; and after a while the bottom of the glass being held just upon the kindled coals, or in the flame, you may in about a quarter of an hour, or perchance in halfe that time, perceive in the bottom of the glass some running mercury; and if then you take away the glass and break it, you shall find a parcel of quicksilver, perhaps altogether, and perhaps part of it in the pores of the solid mass; you shall find too, that the remaining lump being held to the flame of the candle will readily burn with a greenish flame, and after a little while (perchance presently) will in the air acquire a greenish blew, which being the colour that is ascrib'd to copper, when its body is unlocked, 'tis easie to perswade men that this is the true sulphur of _venus_, especially since not only the salts may be suppos'd partly to be flown away, and partly to be sublim'd to the upper part of the glass, whose inside (will commonly appear whitened by them) but the metal seems to be quite destroy'd, the copper no longer appearing in a metalline forme, but almost in that of a resinous lump; whereas indeed the case is only this, that the saline parts of the sublimate, together with the _sal armoniack_, being excited and actuated by the vehement heat, fall upon the copper, (which is a metal they can more easily corrode, than silver) whereby the small parts of the mercury being freed from the salts that kept them asunder, and being by the heat tumbled up and down after many occursions, they convene into a conspicuous mass of liquor; and as for the salts, some of the more volatile of them subliming to the upper part of the glass, the others corrode the copper, and uniting themselves with it do strangely alter and disguise its metallick form, and compose with it a new kind of concrete inflamable like sulphur; concerning which i shall not now say any thing, since i can referr you to the diligent observations which i remember mr. _boyle_ has made concerning this odde kind of verdigrease. but continues _carneades_ smiling, you know i was not cut out for a mountebank, and therefore i will hasten to resume the person of a sceptick, and take up my discourse where you diverted me from prosecuting it. in the next place, then, i consider, that, as there are some bodies which yield not so many as the three principles; so there are many others, that in their resolution exhibite more principles than three; and that therefore the ternary number is not that of the universal and adequate principles of bodies. if you allow of the discourse i ately [errata: lately] made you, touching the primary associations of the small particles of matter, you will scarce think it improbable, that of such elementary corpuscles there may be more sorts then either three, or four, or five. and if you will grant, what will scarce be deny'd, that corpuscles of a compounded nature may in all the wonted examples of chymists pass for elementary, i see not, why you should think it impossible, that as _aqua fortis_, or _aqua regis_ will make a separation of colliquated silver and gold, though the fire cannot; so there may be some agent found out so subtile and so powerfull, at least in respect of those particular compounded corpuscles, as to be able to resolve them into those more simple ones, whereof they consist, and consequently encrease the number of the distinct substances, whereinto the mixt body has been hitherto thought resoluble. and if that be true, which i recited to you a while ago out of _helmont_ concerning the operations of the _alkahest_, which divides bodies into other distinct substances, both as to number and nature, then the fire does; it will not a little countenance my conjecture. but confining our selves to such wayes of analyzing mix'd bodies, as are already not unknown to chymists, it may without absurdity be question'd, whether besides those grosser elements of bodies, which they call salt sulphur and mercury, there may not be ingredients of a more subtile nature, which being extreamly little, and not being in themselves visible, may escape unheeded at the junctures of the destillatory vessels, though never so carefully luted. for let me observe to you one thing, which though not taken notice of by chymists, may be a notion of good use in divers cases to a naturalist, that we may well suspect, that there may be severall sorts of bodies, which are not immediate objects of any one of our senses; since we see, that not only those little corpuscles that issue out of the loadstone, and perform the wonders for which it is justly admired; but the _effluviums_ of amber, jet, and other electricall concretes, though by their effects upon the particular bodies dispos'd to receive their action, they seem to fall under the cognizance of our sight, yet do they not as electrical immediately affect any of our senses, as do the bodies, whether minute or greater, that we see, feel, taste, &c. but, continues _carneades_, because you may expect i should, as the chymists do, consider only the sensible ingredients of mixt bodies, let us now see, what experience will, even as to these, suggest to us. it seems then questionable enough, whether from grapes variously order'd there may not be drawn more distinct substances by the help of the fire, then from most other mixt bodies. for the grapes themselves being dryed into raysins and distill'd, will (besides _alcali_, phlegm, and earth) yield a considerable quantity of an empyreumatical oyle, and a spirit of a very different nature from that of wine. also the unfermented juice of grapes affords other distil'd liquors then wine doth. the juice of grapes after fermentation will yield a _spiritus ardens_; which if competently rectifyed will all burn away without leaving any thing remaining. the same fermented juice degenerating into vinager, yields an acid and corroding spirit. the same juice turn'd [errata: tunned] up, armes it self with tartar; out of which may be separated, as out of other bodies, phlegme, spirit, oyle, salt and earth: not to mention what substances may be drawn from the vine it self, probably differing from those which are separated from tartar, which is a body by it self, that has few resemblers in the world. and i will further consider that what force soever you will allow this instance, to evince that there are some bodies that yield more elements then others, it can scarce be deny'd but that the major part of bodies that are divisible into elements, yield more then three. for, besides those which the chymists are pleased to name hypostatical, most bodies contain two others, phlegme and earth, which concurring as well as the rest to the constitution of mixts, and being as generally, if not more, found in their _analysis_, i see no sufficient cause why they should be excluded from the number of elements. nor will it suffice to object, as the _paracelsians_ are wont to do, that the _tria prima_ are the most useful elements, and the earth and water but worthlesse and unactive; for elements being call'd so in relation to the constituting of mixt bodies, it should be upon the account of its ingrediency, not of its use, that any thing should be affirmed or denyed to be an element: and as for the pretended uselessness of earth and water, it would be consider'd that usefulnesse, or the want of it, denotes only a respect or relation to us; and therefore the presence, or absence of it, alters not the intrinsick nature of the thing. the hurtful teeth of vipers are for ought i know useless to us, and yet are not to be deny'd to be parts of their bodies; and it were hard to shew of what greater use to us, then phlegme and earth, are those undiscern'd stars, which our new _telescopes_ discover to us, in many blanched places of the sky; and yet we cannot but acknowledge them constituent and considerably great parts of the universe. besides that whether or no the phlegme and earth be immediately useful, but necessary to constitute the body whence they are separated; and consequently, if the mixt body be not useless to us, those constituent parts, without which it could not have been that mixt body, may be said not to be unuseful to us: and though the earth and water be not so conspicuously operative (after separation) as the other three more active principles, yet in this case it will not be amiss to remember the lucky fable of _menemius aggrippa_, of the dangerous sedition of the hands and legs, and other more busie parts of the body, against the seemingly unactive stomack. and to this case also we may not unfitly apply that reasoning of an apostle, to another purpose; _if the ear shall say, because i am not the eye, i am not of the body; is it therefore not of the body? if the whole body were eye, where were the hearing? if the whole were for hearing, where the smelling?_ in a word, since earth and water appear, as clearly and as generally as the other principles upon the resolution of bodies, to be the ingredients whereof they are made up; and since they are useful, if not immediately to us, or rather to physitians, to the bodies they constitute, and so though in somewhat a remoter way, are serviceable to us; to exclude them out of the number of elements, is not to imitate nature. [transcriber's note: see the printer's note (beginning "the authors constant absence") at the end of the book for material that the printer inadvertently omitted from this page.] but, pursues _carneades_, though i think it evident, that earth and phlegme are to be reckon'd among the elements of most animal and vegetable bodies, yet 'tis not upon that account alone, that i think divers bodies resoluble into more substances then three. for there are two experiments, that i have sometimes made to shew, that at least some mixts are divisible into more distinct substances then five. the one of these experiments, though 'twill be more seasonable for me to mention it fully anon, yet in the mean time, i shall tell you thus much of it, that out of two distill'd liquors, which pass for elements of the bodies whence they are drawn, i can without addition make a true yellow and inflamable sulphur, notwithstanding that the two liquors remain afterwards distinct. of the other experiment, which perhaps will not be altogether unworthy your notice, i must now give you this particular account. i had long observ'd, that by the destillation of divers woods, both in ordinary, and some unusuall sorts of vessels, the copious spirit that came over, had besides a strong tast, to be met with in the empyreumaticall spirits of many other bodies, an acidity almost like that of vinager: wherefore i suspected, that though the sowrish liquor distill'd, for instance, from box-wood, be lookt upon by chymists as barely the spirit of it, and therefore as one single element or principle; yet it does really consist of two differing substances, and may be divisible into them; and consequently, that such woods and other mixts as abound with such a vinager, may be said to consist of one element or principle, more then the chymists as yet are aware of; wherefore bethinking my self, how the separation of these two spirits might be made, i quickly found, that there were several wayes of compassing it. but that of them which i shall at present mention, was this, having destill'd a quantity of box-wood _per se_, and slowly rectify'd the sowrish spirit, the better to free it both from oyle and phlegme, i cast into this rectify'd liquor a convenient quantity of powder'd coral, expecting that the acid part of the liquor would corrode the coral, and being associated with it would be so retain'd by it, that the other part of the liquor, which was not of an acid nature, nor fit to fasten upon the corals, would be permitted to ascend alone. nor was i deceiv'd in my expectation; for having gently abstracted the liquor from the coralls, there came over a spirit of a strong smell, and of a tast very piercing, but without any sourness; and which was in diverse qualities manifestly different, not only from a spirit of vinager, but from some spirit of the same wood, that i purposely kept by me without depriving it of its acid ingredient. and to satisfy you, that these two substances were of a very differing nature, i might informe you of several tryals that i made, but must not name some of them, because i cannot do so without making some unseasonable discoveries. yet this i shall tell you at present, that the sowre spirit of _box_, not only would, as i just now related, dissolve corals, which the other would not fasten on, but being pour'd upon salt of tartar would immediately boile and hiss, whereas the other would lye quietly upon it. the acid spirit pour'd upon _minium_ made a sugar of lead, which i did not find the other to do; some drops of this penetrant spirit being mingl'd with some drops of the blew syrup of violets seem'd rather to dilute then otherwise alter the colour; whereas the acid spirit turn'd the syrup of a reddish colour, and would probably have made it of as pure a red as acid salts are wont to do, had not its operation been hindered by the mixture of the other spirit. a few drops of the compound spirit being shaken into a pretty quantity of the infusion of _lignum nephriticum_, presently destroyed all the blewish colour, whereas the other spirit would not take it away. to all which it might be added, that having for tryals sake pour'd fair water upon the corals that remained in the bottom of the glass wherein i had rectifyed the double spirit (if i may so call it) that was first drawn from the box, i found according to my expectation that the acid spirit had really dissolved the corals, and had coagulated with them. for by the affusion of fair water, i obtain'd a solution, which (to note that singularity upon the bye) was red, whence the water being evaporated, there remained a soluble substance much like the ordinary salt of coral, as chymists are pleas'd to call that magistery of corals, which they make by dissolving them in common spirit of vinager, and abstracting the _menstruum ad siccitatem_. i know not whether i should subjoine, on this occasion, that the simple spirit of box, if chymists will have it therefore saline because it has a strong tast, will furnish us with a new kind of saline bodies, differing from those hitherto taken notice of. for whereas of the three chief sorts of salts, the acid, the alcalizate, and the sulphureous, there is none that seems to be friends with both the other two, as i may, e're it be long, have occasion to shew; i did not find but that the simple spirit of box did agree very well (at least as farr as i had occasion to try it) both with the acid and the other salts. for though it would lye very quiet with salt of tartar, spirit of urine, or other bodies, whose salts were either of an alcalizate or fugitive nature; yet did not the mingling of oyle of vitriol it self produce any hissing or effervescence, which you know is wont to ensue upon the affusion of that highly acid liquor upon either of the bodies newly mentioned. i think my self, sayes _eleutherius_, beholden to you, for this experiment; not only because i forsee you will make it helpful to you in the enquiry you are now upon, but because it teaches us a method, whereby we may prepare a numerous sort of new spirits, which though more simple then any that are thought elementary, are manifestly endow'd with peculiar and powerfull qualities, some of which may probably be of considerable use in physick, as well alone, as associated with other things; as one may hopefully guess by the redness of that solution your sour spirit made of corals, and by some other circumstances of your narrative. and suppose (pursues _eleutherius_) that you are not so confin'd, for the separation of the acid parts of these compound spirits from the other, to employ corals; but that you may as well make use of any alcalizate salt, or of pearls, or crabs eyes, or any other body, upon which common spirit of vinager will easily work, and, to speak in an _helmontian_ phrase, exantlate it self. i have not yet tryed, sayes _carneades_, of what use the mention'd liquors may be in physick, either as medicines or as _menstruums_: but i could mention now (and may another time) divers of the tryals that i made to satisfy my self of the difference of these two liquors. but that, as i allow your thinking what you newly told me about corals, i presume you will allow me, from what i have said already, to deduce this corollary; that there are divers compound bodies, which may be resolv'd into four such differing substances, as may as well merit the name of principles, as those to which the chymists freely give it. for since they scruple not to reckon that which i call the compound spirit of box, for the spirit, or as others would have it, the mercury of that wood, i see not, why the acid liquor, and the other, should not each of them, especially that last named, be lookt upon as more worthy to be called an elementary principle; since it must needs be of a more simple nature then the liquor, which was found to be divisible into that, and the acid spirit. and this further use (continues _carneades_) may be made of our experiment to my present purpose, that it may give us a rise to suspect, that since a liquor reputed by the chymists to be, without dispute, homogeneous, is by so slight a way divisible into two distinct and more simple ingredients, some more skilful or happier experimenter then i may find a way either further to divide one of these spirits, or to resolve some or other, if not all, of those other ingredients of mixt bodies, that have hitherto pass'd among chymists for their elements or principles. the sceptical chymist. _the fourth part._ and thus much (sayes _carneades_) may suffice to be said of the _number_ of the distinct substances separable from mixt bodies by the fire: wherefore i now proceed to consider the _nature_ of them, and shew you, that though they seem _homogeneous_ bodies, yet have they not the purity and simplicity that is requisite to elements. and i should immediately proceed to the proof of my assertion, but that the confidence wherewith chymists are wont to call each of the substances we speak of by the name of sulphur or mercury, or the other of the hypostaticall principles, and the intollerabln [errata: intolerable] ambiguity they allow themselves ie [errata: in] their writings and expressions, makes it necessary for me in order to the keeping you either from mistaking me, or thinking i mistake the controversie, to take notice to you and complain of the unreasonable liberty they give themselves of playing with names at pleasure. and indeed if i were oblig'd in this dispute, to have such regard to the phraseology of each particular chymist, as not to write any thing which this or that author may not pretend, not to contradict this or that sence, which he may give as occasion serves to his ambiguous expressions, i should scarce know how to dispute, nor which way to turn myself. for i find that even eminent writers, (such as _raymund lully_, _paracelsus_ and others) do so abuse the termes they employ, that as they will now and then give divers things, one name; so they will oftentimes give one thing, many names; and some of them (perhaps) such, as do much more properly signifie some distinct body of another kind; nay even in technical words or termes of art, they refrain not from this confounding liberty; but will, as i have observ'd, call the same substance, sometimes the sulphur, and sometimes the mercury of a body. and now i speak of mercury, i cannot but take notice, that the descriptions they give us of that principle or ingredient of mixt bodies, are so intricate, that even those that have endeavour'd to pollish and illustrate the notions of the chymists, are fain to confess that they know not what to make of it, either by ingenuous acknowledgments, or descriptions that are not intelligible. i must confess (sayes _eleutherius_) i have, in the reading of _paracelsus_ and other chymical authors, been troubled to find, that such hard words and equivocal expressions, as you justly complain of, do even when they treat of principles, seem to be studiously affected by those writers; whether to make themselves to be admir'd by their readers, and their art appear more venerable and mysterious, or, (as they would have us think) to conceal from them a knowledge themselves judge inestimable. but whatever (sayes _carneades_) these men may promise themselves from a canting way of delivering the principles of nature, they will find the major part of knowing men so vain, as when they understand not what they read, to conclude, that it is rather the writers fault then their own. and those that are so ambitious to be admir'd by the vulgar, that rather then go without the admiration of the ignorant they will expose themselves to the contempt of the learned, those shall, by my consent, freely enjoy their option. as for the mystical writers scrupling to communicate their knowledge, they might less to their own disparagement, and to the trouble of their readers, have conceal'd it by writing no books, then by writing bad ones. if _themistius_ were here, he would not stick to say, that chymists write thus darkly, not because they think their notions too precious to be explain'd, but because they fear that if they were explain'd, men would discern, that they are farr from being precious. and indeed, i fear that the chief reason why chymists have written so obscurely of their three principles, may be, that not having clear and distinct notions of them themselves, they cannot write otherwise then confusedly of what they but confusedly apprehend: not to say that divers of them, being conscious to the invalidity of their doctrine, might well enough discerne that they could scarce keep themselves from being confuted, but by keeping themselves from being clearly understood. but though much may be said to excuse the chymists when they write darkly, and Ænigmatically, about the preparation of their _elixir_, and some few other grand _arcana_, the divulging of which they may upon grounds plausible enough esteem unfit; yet when they pretend to teach the general principles of natural philosophers, this equivocall way of writing is not to be endur'd. for in such speculative enquiries, where the naked knowledge of the truth is the thing principally aim'd at, what does he teach me worth thanks that does not, if he can, make his notion intelligible to me, but by mystical termes, and ambiguous phrases darkens what he should clear up; and makes me add the trouble of guessing at the sence of what he equivocally expresses, to that of examining the truth of what he seems to deliver. and if the matter of the philosophers stone, and the manner of preparing it, be such mysteries as they would have the world believe them, they may write intelligibly and clearly of the principles of mixt bodies in general, without discovering what they call the great work. but for my part (continues _carneades_) what my indignation at this un-philosophical way of teaching principles has now extorted from me, is meant chiefly to excuse my self, if i shall hereafter oppose any particular opinion or assertion, that some follower of _paracelsus_ or any eminent artist may pretend not to be his masters. for, as i told you long since, i am not oblig'd to examine private mens writings, (which were a labour as endless as unprofitable) being only engag'd to examine those opinions about the _tria prima_, which i find those chymists i have met with to agree in most: and i doubt not but my arguments against their doctrine will be in great part easily enough applicable ev'n to those private opinions, which they do not so directly and expresly oppose. and indeed, that which i am now entering upon being the consideration of the things themselves whereinto _spagyrists_ resolve mixt bodies by the fire, if i can shew that these are not of an elementary nature, it will be no great matter what names these or those chymists have been pleased to give them. and i question not that to a wise man, and consequently to _eleutherius_, it will be lesse considerable to know, what men have thought of things, then what they should have thought. in the fourth and last place, then, i consider, that as generally as chymists are wont to appeal to experience, and as confidently as they use to instance the several substances separated by the fire from a mixt body, as a sufficient proof of their being its component elements: yet those differing substances are many of them farr enough from elementary simplicity, and may be yet look'd upon as mixt bodies, most of them also retaining, somewhat at least, if not very much, of the nature of those concretes whence they were forc'd. i am glad (sayes _eleutherius_) to see the vanity or envy of the canting chymists thus discover'd and chastis'd; and i could wish, that learned men would conspire together to make these deluding writers sensible, that they must no longe [transcriber's note: longer] hope with impunity to abuse the world. for whilst such men are quietly permitted to publish books with promising titles, and therein to assert what they please, and contradict others, and ev'n themselves as they please, with as little danger of being confuted as of being understood, they are encourag'd to get themselves a name, at the cost of the readers, by finding that intelligent men are wont for the reason newly mention'd, to let their books and them alone: and the ignorant and credulous (of which the number is still much greater then that of the other) are forward to admire most what they least understand. but if judicious men skill'd in chymical affaires shall once agree to write clearly and plainly of them, and thereby keep men from being stunn'd, as it were, or imposd upon by dark or empty words; 'tis to be hop'd that these men finding that they can no longer write impertinently and absurdly, without being laugh'd at for doing so, will be reduc'd either to write nothing, or books that may teach us something, and not rob men, as formerly, of invaluable time; and so ceasing to trouble the world with riddles or impertinencies, we shall either by their books receive an advantage, or by their silence escape an inconvenience. but after all this is said (continues _eleutherius_) it may be represented in favour of the chymists, that, in one regard the liberty they take in using names, if it be excusable at any time, may be more so when they speak of the substances whereinto their _analysis_ resolves mixt bodies: since as parents have the right to name their own children, it has ever been allow'd to the authors of new inventions, to impose names upon them. and therefore the subjects we speak of being so the productions of the chymist's art, as not to be otherwise, but by it, obtainable; it seems but equitable to give the artists leave to name them as they please: considering also that none are so fit and likely to teach us what those bodies are, as they to whom we ow'd them. i told you already (sayes _carneades_) that there is great difference betwixt the being able to make experiments, and the being able to give a philosophical account of them. and i will not now add, that many a mine-digger may meet, whilst he follows his work, with a gemm or a mineral which he knowes not what to make of, till he shews it a jeweller or a mineralist to be inform'd what it is. but that which i would rather have here observ'd, is, that the chymists i am now in debate with have given up the liberty you challeng'd for them, of using names at pleasure, and confin'd themselves by their descriptions, though but such as they are, of their principles; so that although they might freely have call'd any thing their _analysis_ presents them with, either sulphur, or mercury, or gas, or blas, or what they pleas'd; yet when they have told me that sulphur (for instance) is a primogeneal and simple body, inflamable, odorous, &c. they must give me leave to dis-believe them, if they tell me that a body that is either compounded or uninflamable is such a sulphur; and to think they play with words, when they teach that gold and some other minerals abound with an incombustible sulphur, which is as proper an expression, as a sun-shine night, or fluid ice. but before i descend to the mention of particulars belonging to my fourth consideration, i think it convenient to premise a few generals; some of which i shall the less need to insist on at present, because i have touched on them already. and first i must invite you to take notice of a certain passage in _helmont_;[ ] which though i have not found much heeded by his readers, he himself _mentions_ as a notable thing, and i take to be a very considerable one; for whereas the distill'd oyle of _oyle-olive_, though drawn _per se_ is (as i have try'd) of a very sharp and fretting quality, and of an odious tast, he tells us that simple oyle being only digested with _paracelsus's sal circulatum_, is reduc'd into dissimilar parts, and yields a sweet oyle, very differing from the oyle distill'd, from [errata: distill'd from] sallet oyle; as also that by the same way there may be separated from wine a very sweet and gentle spirit, partaking of a far other and nobler quality then that which is immediately drawn by distillation and call'd _dephlegm'd aqua vitæ_, from whose acrimony this other spirit is exceedingly remote, although the _sal circulatum_ that makes these _anatomies_ be separated from the analyz'd bodies, in the same weight and with the same qualities it had before; which affirmation of _helmont_ if we admit to be true, we must acknowledge that there may be a very great disparity betwixt bodies of the same denomination (as several oyles, or several spirits) separable from compound bodies: for, besides the differences i shall anon take notice of, betwixt those distill'd oyles that are commonly known to chymists, it appears by this, that by means of the _sal circulatum_, there may be quite another sort of oyles obtain'd from the same body; and who knowes but that there may be yet other agents found in nature, by whose help there may, whether by transmutation or otherwise, be obtain'd from the bodies vulgarly call'd mixt, oyles or other substances, differing from those of the same denomination, known either to vulgar chymists, or even to _helmont_ himself: but for fear you should tell me, that this is but a conjecture grounded upon another man's relation, whose truth we have not the means to experiment, i will not insist upon it; but leaving you to consider of it at leasure, i shall proceed to what is next. [footnote : _illud notabile, in vino esse spiritum quendam mitiorem ulterioris & nobilioris qualitatis participem qu[=a] qui immediatè per distillationem elicitur diciturque aqua vitæ dephlegmata, quod facilius in simplici olivarum oleo ad oculum spectatur. quippe distillatum oleum absque laterum aut tigularum [errata: tegularum] additamento, quodque oleum philosophorum dicitur, multum dissert ab ejus oleitate; quæ elicitur prius reducto oleo simplici in partes dissimilares sola digestione & salis circulati paracelsici appositione; siquidem sal circulatum idem in pondere & quantitatibus pristinis ab oleo segregatur postquam oleum olivarum in sui heterogeneitates est dispositum. dulce enim tunc oleum olivarum ex oleo, prout & suavissimus vini spiritus a vino hoc pacto separantur, longéque ab aquæ vitæ acrimoniâ distinctus._--helmont. aura vitalis, pag. .] secondly, then if that be true which was the opinion of _lucippus_, _democritus_, and other prime _anatomists_ of old, and is in our dayes reviv'd by no mean philosophers; namely, that our culinary fire, such as chymists use, consists of swarmes of little bodies swiftly moving, which by their smallness and motion are able to permeate the sollidest and compactest bodies, and even glass it self; if this (i say) be true, since we see that in flints and other concretes, the fiery part is incorporated with the grosser, it will not be irrationall to conjecture, that multitudes of these fiery corpuscles, getting in at the pores of the glass, may associate themselves with the parts of the mixt body whereon they work, and with them constitute new kinds of compound bodies, according as the shape, size, and other affections of the parts of the dissipated body happen to dispose them, in reference to such combinations; of which also there may be the greater number; if it be likewise granted that the corpuscles of the fire, though all exceeding minute, and very swiftly moved, are not all of the same bigness, nor figure. and if i had not weightier considerations to discourse to you of, i could name to you, to countenance what i have newly said, some particular experiments by which i have been deduc'd to think, that the particles of an open fire working upon some bodies may really associate themselves therewith, and add to the quantity. but because i am not so sure, that when the fire works upon bodies included in glasses, it does it by a reall trajection of the fiery corpuscles themselves, through the substance of the glass, i will proceed to what is next to be mention'd. i could (sayes _eleutherius_) help you to some proofes, whereby i think it may be made very probable, that when the fire acts immediately upon a body, some of its corpuscles may stick to those of the burnt body, as they seem to do in quicklime, but in greater numbers, and more permanently. but for fear of retarding your progress, i shall desire you to deferr this enquiry till another time, and proceed as you intended. you may then in the next place (sayes _carneades_) observe with me, that not only there are some bodies, as gold, and silver, which do not by the usual examens, made by fire, discover themselves to be mixt; but if (as you may remember i formerly told you) it be a de-compound body that is dissipable into several substances, by being expos'd to the fire it may be resolv'd into such as are neither elementary, nor such as it was upon its last mixture compounded of; but into new kinds of mixts. of this i have already given you some examples in sope, sugar of lead, and vitrioll. now if we shall consider that there are some bodies, as well natural, (as that i last nam'd) as factitious, manifestly de-compounded; that in the bowells of the earth nature may, as we see she sometimes does, make strange mixtures; that animals are nourish'd with other animals and plants; and, that these themselves have almost all of them their nutriment and growth, _either_ from a certain nitrous juice harbour'd in the pores of the earth, _or_ from the excrements of animalls, _or_ from the putrify'd bodies, either of living creatures or vegetables, _or_ from other substances of a compounded nature; if, i say, we consider this, it may seem probable, that there may be among the works of nature (not to mention those of art) a greater number of de-compound bodies, then men take notice of; and indeed, as i have formerly also observ'd, it does not at all appear, that all mixtures must be of elementary bodies; but it seems farr more probable, that there are divers sorts of compound bodies, even in regard of all or some of their ingredients, consider'd antecedently to their mixture. for though some seem to be made up by the immediate coalitions of the elements, or principles themselves, and therefore may be call'd _prima mista_, or _mista primaria_; yet it seems that many other bodies are mingl'd (if i may so speak) at the second hand, their immediate ingredients being not elementary, but these primary mixts newly spoken of; and from divers of these secondary sort of mixts may result, by a further composition, a third sort, and so onwards. nor is it improbable, that some bodies are made up of mixt bodies, not all of the same order, but of several; as (for instance) a concrete may consist of ingredients, whereof the one may have been a primary, the other a secondary mixt body; (as i have in native cinnaber, by my way of resolving it, found both that courser the [errata: delete "the"] part that seems more properly to be oar, and a combustible sulphur, and a running mercury:) or perhaps without any ingredient of this latter sort, it may be compos'd of mixt bodies, some of them of the first, and some of the third kind; and this may perhaps be somewhat illustrated by reflecting upon what happens in some chymical preparations of those medicines which they call their _bezoardicum's_. for first, they take antimony and iron, which may be look'd upon as _prima mista_; of these they compound a starry _regulus_, and to this they add according to their intention, either gold, or silver, which makes with it a new and further composition. to this they add sublimate, which is it self a de-compound body, (consisting of common quicksilver, and divers salts united by sublimation into a crystalline substance) and from this sublimate, and the other metalline mixtures, they draw a liquor, which may be allow'd to be of a yet more compounded nature. if it be true, as chymists affirm it, that by this art some of the gold or silver mingl'd with the _regulus_ may be carry'd over the helme with it by the sublimate; as indeed a skilfull and candid person complain'd to me a while since, that an experienc'd friend of his and mine, having by such a way brought over a great deal of gold, in hope to do something further with it, which might be gainfull to him, has not only miss'd of his aim, but is unable to recover his volatiliz'd gold out of the antimonial butter, wherewith it is strictly united. now (continues _carneades_) if a compound body consist of ingredients that are not meerly elementary; it is not hard to conceive, that the substances into which the fire dissolves it, though seemingly homogeneous enough, may be of a compounded nature, those parts of each body that are most of kin associating themselves into a compound of a new kind. as when (for example sake) i have caus'd vitrioll and _sal armoniack_, and salt petre to be mingl'd and destill'd together, the liquor that came over manifested it self not to be either spirit of nitre, or of _sal armoniack_, or of vitrioll. for none of these would dissolve crude gold, which yet my liquor was able readily to do; and thereby manifested it self to be a new compound, consisting at least of spirit of nitre, and _sal armoniack_, (for the latter dissolv'd in the former, will work on gold) which nevertheless are not by any known way separable, and consequently would not pass for a mixt body, if we our selves did not, to obtain it, put and distill together divers concretes, whose distinct operations were known before hand. and, to add on this occasion the experiment i lately promis'd you, because it is applicable to our present purpose, i shall acquaint you, that suspecting the common oyle of vitrioll not to be altogether such a simple liquor as chymists presume it, i mingl'd it with an equal or a double quantity (for i try'd the experiment more then once) of common oyle of turpentine, such as together with the other liquor i bought at the drugsters. and having carefully (for the experiment is nice, and somewhat dangerous) distill'd the mixture in a small glass retort, i obtain'd according to my desire, (besides the two liquors i had put in) a pretty quantity of a certain substance, which sticking all about the neck of the retort discover'd it self to be sulphur, not only by a very strong sulphureous smell, and by the colour of brimstone; but also by this, that being put upon a coal, it was immediately kindl'd, and burn'd like common sulphur. and of this substance i have yet by me some little parcells, which you may command and examine when you please. so that from this experiment i may deduce either one, or both of these propositions, that a real sulphur may be made by the conjunction of two such substances as chymists take for elementary, and which did not either of them apart appear to have any such body in it; or that oyle of vitrioll though a distill'd liquor, and taken for part of the saline principle of the concrete that yields it, may yet be so compounded a body as to contain, besides its saline part, a sulphur like common brimstone, which would hardly be it self a simple or un-compounded body. i might (pursues _carneades_) remind you, that i formerly represented it, as possible, that as there may be more elements then five, or six; so the elements of one body may be different from those of another; whence it would follow, that from the resolution of de-compound body [errata: bodies], there may result mixts of an altogether new kind, by the coalition of elements that never perhaps conven'd before. i might, i say, mind you of this, and add divers things to this second consideration; but for fear of wanting time i willingly pretermit them, to pass on to the third, which is this, that the fire does not alwayes barely resolve or take asunder, but may also after a new manner mingle and compound together the parts (whether elementary or not) of the body dissipated by it. this is so evident, sayes _carneades_, in some obvious examples, that i cannot but wonder at their supiness that have not taken notice of it. for when wood being burnt in a chimney is dissipated by the fire into smoke and ashes, that smoke composes soot, which is so far from being any one of the principles of the wood, that (as i noted above) you may by a further _analysis_ separate five or six distinct substances from it. and as for the remaining ashes, the chymists themselves teach us, that by a further degree of fire they may be indissolubly united into glass. 'tis true, that the _analysis_ which the chymists principally build upon is made, not in the open air, but in close vessels; but however, the examples lately produc'd may invite you shrewdly to suspect, that heat may as well compound as dissipate the parts of mixt bodies: and not to tell you, that i have known a vitrification made even in close vessels, i must remind you that the flowers of antimony, and those of sulphur, are very mix'd bodies, though they ascend in close vessells: and that 'twas in stopt glasses that i brought up the whole body of camphire. and whereas it may be objected, that all these examples are of bodies forc'd up in a dry, not a fluid forme, as are the liquors wont to be obtain'd by distillation; i answer, that besides that 'tis possible, that a body may be chang'd from consistent to fluid, or from fluid to consistent, without being otherwise much altered, as may appear by the easiness wherewith in winter, without any addition or separation of visible ingredients, the same substance may be quickly harden'd into brittle ice, and thaw'd again into fluid water; besides this, i say it would be consider'd, that common quick-silver it self, which the eminentest chymists confess to be a mixt body, may be driven over the helme in its pristine forme of quicksilver, and consequently, in that of a liquor. and certainly 'tis possible that very compounded bodies may concur to constitute liquors; since, not to mention that i have found it possible, by the help of a certain _menstruum_, to distill gold it self through a retort, even with a moderate fire: let us but consider what happens in butter of antimony. for if that be carefully rectify'd, it may be reduc'd into a very clear liquor; and yet if you cast a quantity of fair water upon it, there will quickly precipitate a ponderous and vomitive calx, which made before a considerable part of the liquor, and yet is indeed (though some eminent chymists would have it mercurial) an antimonial body carryed over and kept dissolv'd by the salts of the sublimate, and consequently a compounded one; as you may find if you will have the curiosity to examine this white powder by a skilful reduction. and that you may not think that bodies as compounded as flowers of brimstone cannot be brought to concurr to constitute distill'd liquors; and also that you may not imagine with divers learned men that pretend no small skill in chymistry, that at least no mixt body can be brought over the helme, but by corrosive salts, i am ready to shew you, when you please, among other wayes of bringing over flowers of brimstone (perhaps i might add even mineral sulphurs) some, wherein i employ none but oleaginous bodies to make volatile liquors, in which not only the colour, but (which is a much surer mark) the smell and some operations manifest that there is brought over a sulphur that makes part of the liquor. one thing more there is, _eleutherius_, sayes _carneades_, which is so pertinent to my present purpose, that though i have touch'd upon it before, i cannot but on this occasion take notice of it. and it is this, that the qualities or accidents, upon whose account chymists are wont to call a portion of matter by the name of mercury or some other of their principles, are not such but that 'tis possible as great (and therefore why not the like?) may be produc'd by such changes of texture, and other alterations, as the fire may make in the small parts of a body. i have already prov'd, when i discours'd of the second general consideration, by what happens to plants nourish'd only with fair water, and eggs hatch'd into chickens, that by changing the disposition of the component parts of a body, nature is able to effect as great changes in a parcell of matter reputed similar, as those requisite to denominate one of the _tria prima_. and though _helmont_ do somewhere wittily call the fire the destructor and the artificial death of things; and although another eminent chymist and physitian be pleas'd to build upon this, that fire can never generate any thing but fire; yet you will, i doubt not, be of another mind, if you consider how many new sorts of mixt bodies chymists themselves have produc'd by means of the fire: and particularly, if you consider how that noble and permanent body, glass, is not only manifestly produc'd by the violent action of the fire, but has never, for ought we know, been produc'd any other way. and indeed it seems but an inconsiderate assertion of some _helmontians_, that every sort of body of a peculiar denomination must be produc'd by some seminal power; as i think i could evince, if i thought it so necessary, as it is for me to hasten to what i have further to discourse. nor need it much move us, that there are some who look upon whatsoever the fire is employ'd to produce, not as upon natural but artificial bodies. for there is not alwaies such a difference as many imagine betwixt the one and the other: nor is it so easy as they think, clearly to assigne that which properly, constantly, and sufficiently, discriminates them. but not to engage my self in so nice a disquisition, it may now suffice to observe, that a thing is commonly termed artificial, when a parcel of matter is by the artificers hand, or tools, or both, brought to such a shape or form, as he design'd before-hand in his mind: whereas in many of the chymical productions the effect would be produc'd whether the artificer intended it or no; and is oftentimes very much other then he intended or look't for; and the instruments employ'd, are not tools artificially fashion'd and shaped, like those of tradesmen, for this or that particular work; but, for the most part, agents of nature's own providing, and whose chief powers of operation they receive from their own nature or texture, not the artificer. and indeed, the fire is as well a natural agent as seed: and the chymist that imployes it, does but apply natural agents and patients, who being thus brought together, and acting according to their respective natures, performe the worke themselves; as apples, plums, or other fruit, are natural productions, though the gardiner bring and fasten together the sciens of the stock, and both water, and do perhaps divers other wayes contribute to its bearing fruit. but, to proceed to what i was going to say, you may observe with me, _eleutherius_, that, as i told you once before, qualities sleight enough may serve to denominate a chymical principle. for, when they anatomize a compound body by the fire, if they get a substance inflamable, and that will not mingle with water, that they presently call sulphur; what is sapid and dissoluble in water, that must pass for salt; whatsoever is fix'd and indissoluble in water, that they name earth. and i was going to add, that, whatsoever volatile substance they know not what to make of, not to say, whatsoever they please, that they call mercury. but that these qualities may either be produc'd, otherwise then by such as they call seminal agents, or may belong to bodies of a compounded nature, may be shewn, among other instances, in glass made of ashes, where the exceeding strongly-tasted _alcalizate_ salt joyning with the earth becomes insipid, and with it constitutes a body, which though also dry, fixt, and indissoluble in water, is yet manifestly a mixt body; and made so by the fire itself. and i remmember to our present purpose, that _helmont_,[ ] amongst other medicines that he commends, has a short processe, wherein, though the directions for practice are but obscurely intimated; yet i have some reason not to dis-believe the process, without affirming or denying any thing about the vertues of the remedy to be made by it. _quando_ (sayes he) _oleum cinnamomi &c. suo sali alkali miscetur absque omni aqua, trium mensium artificiosa occultaque circulatione, totum in salem volatilem commutatum est, vere essentiam sui simplicis in nobis exprimit, & usque in prima nostri constitutivasese ingerit._ a not unlike processe he delivers in another place; from whence, if we suppose him to say true, i may argue, that since by the fire there may be produc'd a substance that is as well saline and volatile as the salt of harts-horn, blood, &c. which pass for elementary; and since that this volatile salt is really compounded of a chymical oyle and a fixt salt, the one made volatile by the other, and both associated by the fire, it may well be suspected that other substances, emerging upon the dissipation of bodies by the fire, may be new sorts of mixts, and consist of substances of differing natures; and particularly, i have sometimes suspected, that since the volatile salts of blood, harts-horn, &c. are figitive [errata: fugitive] and endow'd with an exceeding strong smell, either that chymists do erroneously ascribe all odours to sulphurs, or that such salts consist of some oyly parts well incorporated with the saline ones. and the like conjecture i have also made concerning spirit of vinager, which, though the chymists think one of the principles of that body, and though being an acid spirit it seems to be much less of kin then volatile salts to sulphurs; yet, not to mention its piercing smell; which i know not with what congruity the chymist will deduce from salt, i wonder they have not taken notice of what their own _tyrocinium chymicum_ teach us concerning the destillation of _saccharum saturni_; out of which _beguinus_[ ] assures us, that he distill'd, besides a very fine spirit, no lesse then two oyles, the one blood-red and ponderous, but the other swimming upon the top of the spirit, and of a yellow colour; of which he sayes that he kept then some by him, to verify what he delivers. and though i remember not that i have had two distinct oyles from sugar of lead, yet that it will though distill'd without addition yield some oyle, disagrees not with my experience. i know the chymists will be apt to pretend, that these oyls are but the volatiliz'd sulphur of the lead; and will perhaps argue it from what _beguinus_ relates, that when the distillation is ended, you'l find a _caput mortuum_ extreamly black, and (as he speaks) _nullius momenti_, as if the body, or at least the chief part of the metal it self were by the distillation carried over the helme. but since you know as well as i that _saccharum saturni_ is a kind of magistery, made only by calcining of lead _per se_, dissolving it in distill'd vinager, and crystalizing the solution; if i had leasure to tell you how differing a thing i did upon examination find the _caput mortuum_, so sleighted by _beguinus_, to be from what he represents it, i believe you would think the conjecture propos'd less probable then one or other of these three; either that this oyle did formerly concur to constitute the spirit of vinager, and so that what passes for a chymical principle may yet be further resoluble into distinct substances; or that some parts of the spirit together with some parts of the lead may constitute a chymical oyle, which therefore though it pass for homogeneous, may be a very compounded body: or at least that by the action of the distill'd vinager and the saturnine calx one upon another, part of the liquor may be so alter'd as to be transmuted from an acid spirit into an oyle. and though the truth of either of the two former conjectures would make the example i have reflected on more pertinent to my present argument; yet you'l easily discern, the third and last conjecture cannot be unserviceable to confirm some other passages of my discourse. [footnote : helmont pag. .] [footnote : tyroc. chym. l. . c. .] to return then to what i was saying just before i mention'd _helmont's_ experiment, i shall subjoyne, that chymists must confess also that in the perfectly dephlegm'd spirit of wine, or other fermented liquors, that which they call the sulphur of the concrete loses, by the fermentation, the property of oyle, (which the chymists likewise take to be the true sulphur of the mixt) of being unminglable with the water. and if you will credit _helmont_,[ ] all [errata: a pound] of the purest spirit of wine may barely by the help of pure salt of tartar (which is but the fixed salt of wine) be resolv'd or transmuted into scarce half an ounce of salt, and as much elementary water as amounts to the remaining part of the mention'd weight. and it may (as i think i formerly also noted) be doubted, whether that fixt and alcalizate salt, which is so unanimously agreed on to be the saline principle of incinerated bodies, be not, as 'tis alcalizate, a production of the fire? for though the tast of tartar, for example, seem to argue that it contains a salt before it be burn'd, yet that salt being very acid is of a quite differing tast from the lixiviate salt of calcin'd tartar. and though it be not truly objected against the chymists, that they obtain all salts they make, by reducing the body they work on into ashes with violent fires, (since hartshorn, amber, blood, and divers other mixts yield a copious salt before they be burn'd to ashes) yet this volatile salt differs much, as we shall see anon, from the fixt alcalizate salt i speak of; which for ought i remember is not producible by any known way, without incineration. 'tis not unknown to chymists, that quicksilver may be precipitated, without addition, into a dry powder, that remains so in water. and some eminent _spagyrists_, and even _raimund lully_ himself, teach, that meerly by the fire quicksilver may in convenient vessels be reduc'd (at least in great part) into a thin liquor like water, and minglable with it. so that by the bare action of the fire, 'tis possible, that the parts of a mixt body should be so dispos'd after new and differing manners, that it may be sometimes of one consistence, sometimes of another; and may in one state be dispos'd to be mingl'd with water, and in another not. i could also shew you, that bodies from which apart chymists cannot obtain any thing that is combustible, may by being associated together, and by the help of the fire, afford an inflamable substance. and that on the other side, 'tis possible for a body to be inflamable, from which it would very much puzzle any ordinary chymist; and perhaps any other, to separate an inflamable principle or ingredient. wherefore, since the principles of chymists may receive their denominations from qualities, which it often exceeds not the power of art, nor alwayes that of the fire to produce; and since such qualities may be found in bodies that differ so much in other qualities from one another, that they need not be allow'd to agree in that pure and simple nature, which principles, to be so indeed, must have; it may justly be suspected, that many productions of the fire that are shew'd us by chymists, as the principles of the concrete that afforded them, may be but a new kind of mixts. and to annex, on this occasion, to these arguments taken from the nature of the thing, one of those which _logicians_ call _ad hominem_, i shall desire you to take notice, that though _paracelsus_ himself, and some that are so mistaken as to think he could not be so, have ventur'd to teach, that not only the bodies here below, but the elements themselves, and all the other parts of the universe, are compos'd of salt, sulphur and mercury; yet the learned _sennertus_, and all the more wary chymists, have rejected that conceit, and do many of them confess, that the _tria prima_ are each of them made up of the four elements; and others of them make earth and water concur with salt, sulphur and mercury, to the constitution of mixt bodies. so that one sort of these _spagyrists_, notwithstanding the specious titles they give to the productions of the fire, do in effect grant what i contend for. and, of the other sort i may well demand, to what kind of bodies the phlegme and dead earth, to be met with in chymical resolutions, are to be referr'd? for either they must say, with _paracelsus_, but against their own concessions as well as against experience, that these are also compos'd of the _tria prima_, whereof they cannot separate any one from either of them; or else they must confess that two of the vastest bodies here below, earth, and water, are neither of them compos'd of the _tria prima_; and that consequently those three are not the universal, and adequate ingredients, neither of all sublunary bodies, nor even of all mixt bodies. [footnote : _ostendi alias, quomodo lib. una aquæ vitæ combibita in sale tartari siccato, vix fiat semuncia salis, cæterum totum corpus fiat aqua elementalis. helmont. in aura vitali._] i know that the chief of these chymists represent, that though the distinct substances into which they divide mixt bodies by the fire, are not pure and homogeneous; yet since the four elements into which the _aristotelians_ pretend to resolve the like bodies by the same agent, are not simple neither, as themselves acknowledge, 'tis as allowable for the chymists to call the one principles, as for the peripateticks to call the other elements; since in both cases the imposition of the name is grounded only upon the predominancy of that element whose name is ascrib'd to it. nor shall i deny, that this argument of the chymists is no ill one against the _aristotelians_. but what answer can it prove to me, who you know am disputing against the _aristotelian_ elements, as the chymicall principles, and must not look upon any body as a true principle or element, but as yet compounded, which is not perfectly homogeneous, but is further resoluble into any number of distinct substances how small soever. and as for the chymists calling a body salt, or sulphur, or mercury, upon pretence that the principle of the same name is predominant in it, that it self is an acknowledgment of what i contend for; namely that these productions of the fire, are yet compounded bodies. and yet whilst this is granted, it is affirm'd, but not prov'd, that the reputed salt, or sulphur, or mercury, consists mainly of one body that deserves the name of a principle of the same denomination. for how do chymists make it appear that there are any such primitive and simple bodies in those we are speaking of; since 'tis upon the matter confess'd by the answer lately made, that these are not such? and if they pretend by reason to evince what they affirm, what becomes of their confident boasts, that the chymists [errata: chymist] (whom they therefore, after _beguinus_, call a _philosophus_ or _opifex sensatus_) can convince our eyes, by manifestly shewing in any mixt body those simple substances he teaches them to be compos'd of? and indeed, for the chymists to have recourse in this case to other proofs then experiments, as it is to wave the grand argument that has all this while been given out for a demonstrative one; so it releases me from the obligation to prosecute a dispute wherein i am not engag'd to examine any but experimentall proofs. i know it may plausibly enough be represented, in favour of the chymists, that it being evident that much the greater part of any thing they call salt, or sulphur, or mercury, is really such; it would be very rigid to deny those substances the names ascribed them, only because of some sleight mixture of another body; since not only the peripateticks call particular parcels of matter elementary, though they acknowledge that elements are not to be anywhere found pure, at least here below; and since especially there is a manifest analogie and resemblance betwixt the bodies obtainable by chymical anatomies and the principles whose names are given them; i have, i say, consider'd that these things may be represented: but as for what is drawn from the custome of the peripateticks, i have already told you, that though it may be employ'd against them, yet it is not available against me who allow nothing to be an element that is not perfectly homogeneous. and whereas it is alledg'd, that the predominant principle ought to give a name to the substance wherein it abounds; i answer, that that might much more reasonably be said, if either we or the chymists had seen nature take pure salt, pure sulphur, and pure mercury, and compound of them every sort of mixt bodies. but, since 'tis to experience that they appeal, we must not take it for granted, that the distill'd oyle (for instance) of a plant is mainly compos'd of the pure principle call'd sulphur, till they have given us an ocular proof, that there is in that sort of plants such an homogeneous sulphur. for as for the specious argument, which is drawn from the resemblance betwixt the productions of the fire, and the respective, either _aristotelian_ elements, or _chymical_ principles, by whose names they are call'd; it will appear more plausible then cogent, if you will but recall to mind the state of the controversie; which is not, whether or no there be obtain'd from mixt bodies certain substances that agree in outward appearance, or in some qualities with quicksilver or brimstone, or some such obvious or copious body; but whether or no all bodies confess'd to be perfectly mixt were compos'd of, and are resoluble into a determinate number of primary unmixt bodies. for, if you keep the state of the question in your eye, you'l easily discerne that there is much of what should be demonstrated, left unprov'd by those chymical experiments we are examining. but (not to repeat what i have already discover'd more at large) i shall now take notice, that it will not presently follow, that because a production of the fire has some affinity with some of the greater masses of matter here below, that therefore they are both of the same nature, and deserve the same name; for the chymists are not content, that flame should be look't upon as a parcel of the element of fire, though it be hot, dry, and active, because it wants some other qualities belonging to the nature of elementary fire. nor will they let the peripateticks call ashes, or quicklime, earth, notwithstanding the many likenesses between them; because they are not tastlesse, as elementary earth ought to be: but if you should ask me, what then it is, that all the chymical anatomies of bodies do prove, if they prove not that they consist of the three principles into which the fire resolves them? i answer, that their dissections may be granted to prove, that some mixt bodies (for in many it will not hold) are by the fire, when they are included in close vessels, (for that condition also is often requisite) dissolube [transcriber's note: dissoluble] into several substances differing in some qualities, but principally in consistence. so that out of most of them may be obtain'd a fixt substance partly saline, and partly insipid, an unctuous liquor, and another liquor or more that without being unctuous have a manifest taste. now if chymists will agree to call the dry and sapid substance salt, the unctous liquor sulphur, and the other mercury, i shall not much quarrel with them for so doing: but if they will tell me that salt, sulphur, and mercury, are simple and primary bodies whereof each mixt body was actually compounded, and which was really in it antecedently to the operation of the fire, they must give me leave to doubt whether (whatever their other arguments may do) their experiments prove all this. and if they will also tell me that the substances their anatomies are wont to afford them, are pure and similar, as principles ought to be, they must give me leave to believe my own senses; and their own confessions, before their bare assertions. and that you may not (_eleutherius_) think i deal so rigidly with them, because i scruple to take these productions of the fire for such as the chymists would have them pass for, upon the account of their having some affinity with them; consider a little with me, that in regard an element or principle ought to be perfectly similar and homogeneous, there is no just cause why i should rather give the body propos'd the name of this or that element or principle, because it has a resemblance to it in some obvious quality, rather then deny it that name upon the account of divers other qualities, wherein the propos'd bodies are unlike; and if you do but consider what sleight and easily producible qualities they are that suffice, as i have already more then once observ'd, to denominate a chymical principle or an element, you'l not, i hope, think my wariness to be destitute either of example, or else of reason. for we see that the chymists will not allow the _aristotelians_ that the salt in ashes ought to be called earth, though the saline and terrestrial part symbolize in weight, in dryness, in fixness and fusibility, only because the one is sapid and dissoluble in water, and the other not: besides, we see that sapidness and volatility are wont to denominate the chymists mercury or spirit; and yet how many bodies, think you, may agree in those qualities which may yet be of very differing natures, and disagree in qualities either more numerous, or more considerable, or both. for not only spirit of nitre, aqua fortis, spirit of salt, spirit of oyle of vitriol, spirit of allome, spirit of vinager, and all saline liquors distill'd from animal bodies, but all the acetous spirits of woods freed from their vinager; all these, i say, and many others must belong to the chymists mercury, though it appear not why some of them should more be comprehended under one denomination then the chymists sulphur, or oyle should likewise be; for their distill'd oyles are also fluid, volatile, and tastable, as well as their mercury; nor is it necessary, that their sulphur should be unctuous or dissoluble in water, since they generally referr spirit of wine to sulphurs, although that spirit be not unctuous, and will freely mingle with water. so that bare inflamability must constitute the essence of the chymists sulphur; as uninflamablenesse joyned with any taste is enough to intitle a distill'd liquor to be their mercury. now since i can further observe to you, that spirit of nitre and spirit of harts-horne being pour'd together will boile and hisse and tosse up one another into the air, which the chymists make signes of great antipathy in the natures of bodies (as indeed these spirits differ much both in taste, smell, and operations;) since i elsewhere tell you of my having made two sorts of oyle out of the same mans blood, that would not mingle with one another; and since i might tell you divers examples i have met with, of the contrariety of bodies which according to the chymists must be huddl'd up together under one denomination; i leave you to judge whether such a multitude of substances as may agree in these sleight qualities, and yet disagree in others more considerable, are more worthy to be call'd by the name of a principle (which ought to be pure and homogeneous,) than to have appellations given them that may make them differ, in name too, from the bodies from which they so wildly differ in nature. and hence also, by the bye, you may perceive that 'tis not unreasonable to distrust the chymists way of argumentation, when being unable to shew us that such a liquor is (for example) purely saline, they prove, that at least salt is much the predominant principle, because that the propos'd substance is strongly tasted, and all tast proceeds from salt; whereas those spirits, such as spirit of tartar, spirit of harts-horn, and the like, which are reckoned to be the mercuries of the bodies that afford them, have manifestly a strong and piercing tast, and so has (according to what i formerly noted) the spirit of box &c. even after the acid liquor that concurr'd to compose it has been separated from it. and indeed, if sapidness belong not to the spirit or mercurial principle of vegitables and animals: i scarce know how it will be discriminated from their phlegm, since by the absence of inflamability it must be distinguish'd from their sulphur, which affords me another example, to prove how unacurate the chymical doctrine is in our present case; since not only the spirits of vegitables and animals, but their oyles are very strongly tasted, as he that shall but wet his tongue with chymical oyle of cinnamon, or of cloves, or even of turpentine, may quickly find, to his smart. and not only i never try'd any chymical oyles whose tast was not very manifest and strong; but a skilful and inquisitive person who made it his business by elaborate operations to depurate chymical oyles, and reduce them to an elementary simplicity, informes us, that he never was able to make them at all tastless; whence i might inferr, that the proof chymists confidently give us of a bodies being saline, is so far from demonstrating the predominancy, that it does not clearly evince so much as the presence of the saline principle in it. but i will not (pursues _carneades_) remind you, that the volatile salt of harts-horn, amber, blood, &c. are exceeding strongly scented, notwithstanding that most chymists deduce odours from sulphur, and from them argue the predominancy of that principle in the odorous body, because i must not so much as add any new examples of the incompetency of this sort of chymical arguments; since having already detain'd you but too long in those generals that appertain to my fourth consideration, 'tis time that i proceed to the particulars themselves, to which i thought fit they should be previous: these generals (continues _carneades_) being thus premis'd, we might the better survey the unlikeness that an attentive and unprepossess'd observer may take notice of in each sort of bodies which the chymists are wont to call the salts or sulphurs or mercuries of the concretes that yield them, as if they had all a simplicity, and identity of nature: whereas salts if they were all elementary would as little differ as do the drops of pure and simple water. 'tis known that both chymists and physitians ascribe to the fixt salts of calcin'd bodies the vertues of their concretes; and consequently very differing operations. so we find the _alkali_ of wormwood much commended in distempers of the stomach; that of eyebright for those that have a weak sight; and that of _guaiacum_ (of which a great quantity yields but a very little salt) is not only much commended in venereal diseases, but is believed to have a peculiar purgative vertue, which yet i have not had occasion to try. and though, i confess, i have long thought, that these _alkalizate_ salts are, for the most part, very neer of kin, and retain very little of the properties of the concretes whence they were separated; yet being minded to observe watchfully whether i could meet with any exceptions to this general observation, i observ'd at the glasse-house, that sometimes the metal (as the workmen call it) or masse of colliquated ingredients, which by blowing they fashion into vessels of divers shapes, did sometimes prove of a very differing colour, and a somewhat differing texture, from what was usuall. and having enquired whether the cause of such accidents might not be derived from the peculiar nature of the fixt salt employ'd to bring the sand to fusion, i found that the knowingst workmen imputed these mis-adventures to the ashes, of [errata: ashes off] some certain kind of wood, as having observ'd the ignobler kind of glass i lately mention'd to be frequently produc'd when they had employ'd such sorts of ashes which therefore they scruple to make use of, if they took notice of them beforehand. i remember also, that an industrious man of my acquaintance having bought a vast quantity of tobacco stalks to make a fixt salt with, i had the curiosity to go see whether that exotick plant, which so much abounds in volatile salt, would afford a peculiar kind of _alcali_; and i was pleas'd to find that in the _lixivium_ of it, it was not necessary, as is usual, to evaporate all the liquor, that there might be obtain'd a saline calx, consisting like lime quench'd in the air of a heap of little corpuscles of unregarded shapes; but the fixt salt shot into figur'd crystal, almost as nitre or _sal-armoniack_ and other uncalcin'd salts are wont to do; and i further remember that i have observ'd in the fixt salt of urine, brought by depuration to be very white, a tast not so unlike to that of common salt, and very differing from the wonted caustick lixiviate tast of other salts made by incineration. but because the instances i have alledg'd of the difference of _alcalizate_ salt are but few, and therefore i am still inclin'd to think, that most chymists and many physitians do, inconsideratly enough and without warrant from experience, ascribe the vertues of the concretes expos'd to calcination, to the salts obtain'd by it; i shall rather, to shew the disparity of salts, mention in the first place the apparent difference betwixt the vegetable fixt salts and the animal volatile ones: as (for example) betwixt salt of tartar, and salt of harts-horn; whereof the former is so fixt that 'twill indure the brunt of a violent fire, and stand in fusion like a metal; whereas the other (besides that it has a differing tast and a very differing smell) is so far from being fixt, that it will fly away in a gentle heat as easily as spirit of wine it self. and to this i shall add, in the next place, that even among the volatile salts themselves, there is a considerable difference, as appears by the distinct properties of (for instance) salt of amber, salt of urine, salt of mans skull, (so much extoll'd against the falling sicknesse) and divers others which cannot escape an ordinary observer. and this diversity of volatile salts i have observ'd to be somtimes discernable even to the eye, in their figures. for the salt of harts-horn i have observ'd to adhere to the receiver in the forme almost of a _parallelipipedon_; and of the volatile salt of humane blood (long digested before distillation, with spirit of wine) i can shew you store of graines of that figure which _geometricians_ call a _rhombus_; though i dare not undertake that the figures of these or other saline crystals (if i may so call them) will be alwaies the same, whatever degree of fire have been employ'd to force them up, or how hastily soever they have been made to convene in the spirits or liquors, in the lower part of which i have usually observ'd them after a while to shoot. and although, as i lately told you, i seldom found any difference, as to medical vertues, in the fixt salts of divers vegetables; and accordingly i have suspected that most of these volatile salts, having so great a resemblance in smell, in tast, and fugitiveness, differ but little, if at all, in their medicinal properties: as indeed i have found them generally to agree in divers of them (as in their being somewhat diaphoretick and very deopilative; [errata: deopilative)] yet i remember _helmont_[ ] somewhere informes us, that there is this difference betwixt the saline spirit of urine and that of mans blood, that the former will not cure the epilepsy, but the latter will. of the efficacy also of the salt of common amber against the same disease in children, (for in grown persons it is not a specifick) i may elsewhere have an occasion to entertain you. and when i consider that to the obtaining of these volatile salts (especially that of urine) there is not requisite such a destructive violence of the fire, as there is to get those salts that must be made by incineration, i am the more invited to conclude, that they may differ from one another, and consequently recede from an elementary simplicity. and, if i could here shew you what mr. _boyle_ has observ'd, touching the various chymicall distinctions of salts; you would quickly discern, not only that chymists do give themselves a strange liberty to call concretes salts, that are according to their own rules to be look'd upon as very compounded bodies; but that among those very salts that seem elementary, because produc'd upon the anatomy of the bodies that yield them, there is not only a visible disparity, but, to speak in the common language, a manifest antipathy or contrariety: as is evident in the ebullition and hissing that is wont to ensue, when the acid spirit of vitrioll, for instance, is pour'd upon pot ashes, or salt of tartar. and i shall beg leave of this gentleman, sayes _carneades_, casting his eyes on me, to let me observe to you out of some of his papers, particularly those wherein he treats of some preparations of urine, that not only one and the same body may have two salts of a contrary nature, as he exemplifies in the spirit and _alkali_ of nitre; but that from the same body there may without addition be obtain'd three differing and visible salts. for he relates, that he observ'd in urine, not only a volatile and crystalline salt, and a fixt salt, but likewise a kind of _sal armoniack_, or such a salt as would sublime in the form of a salt, and therefore was not fixt, and yet was far from being so fugitive as the volatile salt; from which it seem'd also otherwise to differ. i have indeed suspected that this may be a _sal armoniack_ properly enough so call'd, as compounded of the volatile salt of urine, and the fixt of the same liquor, which, as i noted, is not unlike sea-salt; but that it self argues a manifest difference betwixt the salts, since such a volatile salt is not wont to unite thus with an ordinary _alcali_, but to fly away from it in the heat. and on this occasion i remember that, to give some of my friends an ocular proof of the difference betwixt the fixt and volatile salt (of the same concrete) wood, i devis'd the following experiment. i took common venetian sublimate, and dissolv'd as much of it as i well could in fair water: then i took wood ashes, and pouring on them warme water, dissolv'd their salt; and filtrating the water, as soon as i found the _lixivium_ sufficiently sharp upon the tongue, i reserv'd it for use: then on part of the former solution of sublimate dropping a little of this dissolv'd fixt salt of wood, the liquors presently turn'd of an orange colour; but upon the other part of the clear solution of sublimate putting some of the volatile salt of wood (which abounds in the spirit of soot) the liquor immediately turn'd white, almost like milke, and after a while let fall a white sediment, as the other liquor did a yellow one. to all this that i have said concerning the difference of salts, i might add what i formerly told you, concerning the simple spirit of box, and such like woods, which differ much from the other salts hitherto mention'd, and yet would belong to the saline principle, if chymists did truly teach that all tasts proceed from it. and i might also annex, what i noted to you out of _helmont_[ ] concerning bodies, which, though they consist in great part of chymical oyles, do yet appear but volatile salts; but to insist on these things, were to repeat; and therefore i shall proceed. [footnote : _error vero per distillationem nobis monstrat etiam spiritum salinum plane volatilem odore nequicquam ut nec gustu distinguibilem a spiritu urinæ; in eo tamen essentialiter diversum, quod spiritus talis cruoris curat epilepsiam, non autem spiritus salis lotii._ helmont. aura vitalis.] [footnote : _aliquando oleum cinnamomi, &c. suo sali alcali miscetur absque omni aqua, trium mensium artificiosa occultaque circulatione, totum in salem volatilem commutatum est. helmont. tria prima chymicorum, &c. pag. ._] this disparity is also highly eminent in the separated sulphurs or chymical oyles of things. for they contain so much of the scent, and tast, and vertues, of the bodies whence they were drawn, that they seem to be but the material _crasis_ (if i may so speak) of their concretes. thus the oyles of cinnamon, cloves, nutmegs and other spices, seem to be but the united aromatick parts that did ennoble those bodies. and 'tis a known thing, that oyl of cinnamon, and oyle of cloves, (which i have likewise observ'd in the oyles of several woods) will sink to the bottom of water: whereas those of nutmegs and divers other vegetables will swim upon it. the oyle (abusively call'd spirit) of roses swims at the top of the water in the forme of a white butter, which i remember not to have observ'd in any other oyle drawn in any limbeck; yet there is a way (not here to be declar'd) by which i have seen it come over in the forme of other aromatick oyles, to the delight and wonder of those that beheld it. in oyle of anniseeds, which i drew both with, and without fermentation, i observ'd the whole body of the oyle in a coole place to thicken into the consistence and appearance of white butter, which with the least heat resum'd its former liquidness. in the oyl of olive drawn over in a retort, i have likewise more then once seen a spontaneous coagulation in the receiver: and i have of it by me thus congeal'd; which is of such a strangely penetrating scent, as if 'twould perforate the noses that approach it. the like pungent odour i also observ'd in the distill'd liquor of common sope, which forc'd over from _minium_, lately afforded an oyle of a most admirable penetrancy; and he must be a great stranger, both to the writings and preparations of chymists, that sees not in the oyles they distill from vegetables and animals, a considerable and obvious difference. nay i shall venture to add, _eleutherius_, (what perhaps you will think of kin to a paradox) that divers times out of the same animal or vegetable, there may be extracted oyles of natures obviously differing. to which purpose i shall not insist on the swimming and sinking oyles, which i have sometimes observ'd to float on, and subside under the spirit of _guajacum_, and that of divers other vegetables distill'd with a strong and lasting fire; nor shall i insist on the observation elsewhere mention'd, of the divers and unminglable oyles afforded us by humane blood long fermented and digested with spirit of wine, because these kind of oyles may seem chiefly to differ in consistence and weight, being all of them high colour'd and adust. but the experiment which i devis'd to make out this difference of the oyles of the same vegetable, _ad oculum_, (as they speak) was this that followes. i took a pound of annisseeds, and having grosly beaten them, caused them to be put into a very large glass retort almost filled with fair water; and placing this retort in a sand furnace, i caus'd a very gentle heat to be administer'd during the first day, and a great part of the second, till the water was for the most part drawn off, and had brought over with it at least most of the volatile and aromatick oyle of the seeds. and then encreasing the fire, and changing the receiver, i obtain'd besides an empyreumatical spirit, a quantity of adust oyle; whereof a little floated upon the spirit, and the rest was more heavy, and not easily separable from it. and whereas these oyles were very dark, and smell'd (as chymists speak) so strongly of the fire, that their odour did not betray from what vegetables they had been forc'd; the other _aromatick_ oyle was enrich'd with the genuine smell and tast of the concrete; and spontaneously coagulating it self into white butter did manifest self [errata: it self] to be the true oyle of annisseeds; which concrete i therefore chose to employ about this experiment, that the difference of these oyles might be more conspicuous then it would have been, had i instead of it destill'd another vegetable. i had almost forgot to take notice, that there is another sort of bodies, which though not obtain'd from concretes by distillation, many chymists are wont to call their sulphur; not only because such substances are, for the most part, high colour'd (whence they are also, and that more properly, called tinctures) as dissolv'd sulphurs are wont to be; but especially because they are, for the most part, abstracted and separated from the rest of the masse by spirit of wine: which liquor those men supposing to be sulphureous, they conclude, that what it works upon, and abstracts, must be a sulphur also. and upon this account they presume, that they can sequester the sulphur even of minerals and metalls; from which 'tis known that they cannot by fire alone separate it. to all this i shall answer; that if these sequestred substances where indeed the sulphurs of the bodies whence they are drawn, there would as well be a great disparity betwixt chymical sulphurs obtain'd by spirit of wine, as i have already shewn there is betwixt those obtain'd by distillation in the forme of oyles: which will be evident from hence, that not to urge that themselves ascribe distinct vertues to mineral tinctures, extolling the tincture of gold against such and such diseases; the tincture of antimony, or of its glass, against others; and the tincture of emerauld against others; 'tis plain, that in tinctures drawn from vegetables, if the superfluous spirit of wine be distill'd off, it leaves at the bottom that thicker substance which chymists use to call the extract of the vegetable. and that these extracts are endow'd with very differing qualities according to the nature of the particular bodies that afforded them (though i fear seldom with so much of the specifick vertues as is wont to be imagin'd) is freely confess'd both by physitians and chymists. but, _eleutherius_, (sayes _carneades_) we may here take notice that the chymists do as well in this case, as in many others, allow themselves a license to abuse words: for not again to argue from the differing properties of tinctures, that they are not exactly pure and elementary sulphurs; they would easily appear not to be so much as sulphur's, although we should allow chymical oyles to deserve that name. for however in some mineral tinctures the natural fixtness of the extracted body does not alwayes suffer it to be easily further resoluble into differing substances; yet in very many extracts drawn from vegetables, it may very easily be manifested that the spirit of wine has not sequestred the sulphureous ingredient from the saline and mercurial ones; but has dissolv'd (for i take it to be a solution) the finer parts of the concrete (without making any nice distinction of their being perfectly sulphureous or not) and united it self with them into a kind of magistery; which consequently must contain ingredients or parts of several sorts. for we see that the stones that are rich in vitriol, being often drench'd with rain-water, the liquor will then extract a fine and transparent substance coagulable into vitriol; and yet though this vitriol be readily dissoluble in water, it is not a true elementary salt, but, as you know, a body resoluble into very differing parts, whereof one (as i shall have occasion to tell you anon) is yet of a metalline, and consequently not of an elementary nature. you may consider also, that common sulphur is readily dissoluble in oyle of turpentine, though notwithstanding its name it abounds as well, if not as much, in salt as in true sulphur; witness the great quantity of saline liquor it affords being set to flame away under a glasse bell. nay i have, which perhaps you will think strange, with the same oyle of turpentine alone easily enough dissolv'd crude antimony finely powder'd into a blood-red balsam, wherewith perhaps considerable things may be perform'd in surgery. and if it were now requisite, i could tell you of some other bodies (such as perhaps you would not suspect) that i have been able to work upon with certain chymical oyles. but instead of digressing further i shall make this use of the example i have nam'd. that 'tis not unlikely, but that spirit of wine which by its pungent tast, and by some other qualities that argue it better (especially its reduciblenesse, according to _helmont_, into _alcali_, and water,) seems to be as well of a saline as of a sulphureous nature, may well be suppos'd capable of dissolving substances that are not meerly elementary sulphurs, though perhaps they may abound with parts that are of kin thereunto. for i find that spirit of wine will dissolve _gumm lacca_, _benzoine_, and the _resinous_ parts of _jallap_, and even of _guaiacum_; whence we may well suspect that it may from spices, herbs, and other lesse compacted vegetables, extract substances that are not perfect sulphurs but mixt bodies. and to put it past dispute, there is many a vulgar extract drawn with spirit of wine, which committed to distillation will afford such differing substances as will loudly proclaim it to have been a very compounded body. so that we may justly suspect, that even in mineral tinctures it will not alwaies follow, that because a red substance is drawn from the concrete by spirit of wine, that substance is its true and elementary sulphur. and though some of these extracts may perhaps be inflamable; yet besides that others are not, and besides that their being reduc'd to such minuteness of parts may much facilitate their taking fire; besides this, i say, we see that common sulphur, common oyle, gumm lac, and many unctuous and resinous bodies, will flame well enough, though they be of very compounded natures: nay travellers of unsuspected credit assure us, as a known thing, that in some northern countries where firr trees and pines abound, the poorer sort of inhabitants use long splinters of those resinous woods to burne instead of candles. and as for the rednesse wont to be met with in such solutions, i could easily shew, that 'tis not necessary it should proceed from the sulphur of the concrete, dissolv'd by the spirit of wine; if i had leasure to manifest how much chymists are wont to delude themselves and others by the ignorance of those other causes upon whose account spirit of wine and other _menstruums_ may acquire a red or some other high colour. but to returne to our chymical oyles, supposing that they were exactly pure; yet i hope they would be, as the best spirit of wine is, but the more inflamable and deflagrable. and therefore since an oyle can be by the fire alone immediately turn'd into flame, which is something of a very differing nature from it: i shall demand how this oyle can be a primogeneal and incorruptible body, as most chymists would have their principles; since it is further resoluble into flame, which whether or no it be a portion of the element of fire, as an _aristotelian_ would conclude, is certainly something of a very differing nature from a chymical oyle, since it burnes, and shines, and mounts swiftly upwards; none of which a chymical oyle does, whilst it continues such. and if it should be objected, that the dissipated parts of this flaming oyle may be caught and collected again into oyl or sulphur; i shall demand, what chymist appears to have ever done it; and without examining whether it may not hence be as well said that sulphur is but compacted fire, as that fire is but diffus'd sulphur, i shall leave you to consider whether it may not hence be argu'd, that neither fire nor sulphur are primitive and indestructible bodies; and i shall further observe that, at least it will hence appear that a portion of matter may without being compounded with new ingredients, by having the texture and motion of its small parts chang'd, be easily, by the means of the fire, endow'd with new qualities, more differing from them it had before, then are those which suffice to discriminate the chymists principles from one another. we are next to consider, whether in the anatomy of mixt bodies, that which chymists call the mercurial part of them be un-compounded, or no. but to tell you true, though chymists do unanimously affirm that their resolutions discover a principle, which they call mercury, yet i find them to give of it descriptions so differing, and so Ænigmaticall, that i, who am not asham'd to confess that i cannot understand what is not sence, must acknowledge to you that i know not what to make of them. _paracelsus_ himself, and therefore, as you will easily believe, many of his followers, does somewhere call that mercury which ascends upon the burning of wood, as the peripateticks are wont to take the same smoke for air; and so seems to define mercury by volatility, or (if i may coyne such a word) effumability. but since, in this example, both volatile salt and sulphur make part of the smoke, which does indeed consist also both of phlegmatick and terrene corpuscles, this notion is not to be admitted; and i find that the more sober chymists themselves disavow it. yet to shew you how little of clearness we are to expect in the accounts even of latter _spagyrists_, be pleas'd to take notice, that _beguinus_, even in his _tyrocinium chymicum_,[ ] written for the instruction of novices, when he comes to tell us what are meant by the _tria prima_, which for their being principles ought to be defin'd the more accurately and plainly, gives us this description of mercury; _mercurius_ (sayes he) _est liquor ille acidus, permeabilis, penetrabilis, æthereus, ac purissimus, a quo omnis nutricatio, sensus, motus, vires, colores, senectutisque præproperæ retardatio._ which words are not so much a definition of it, as an _encomium_: and yet _quercetanus_ in his description of the same principle adds to these, divers other _epithets_. but both of them, to skip very many other faults that may be found with their metaphoricall descriptions, speak incongruously to the chymists own principles. for if mercury be an acid liquor, either hermetical philosophy must err in ascribing all tasts to salt, or else mercury must not be a principle, but compounded of a saline ingredient and somewhat else. _libavius_, though he find great fault with the obscurity of what the chymists write concerning their mercurial principle, does yet but give us such a negative description of it, as _sennertus_, how favourable soever to the _tria prima_, is not satisfi'd with. and this _sennertus_ himself, though the learnedst champion for the hypostatical principles, does almost as frequently as justly complain of the unsatisfactoriness of what the chymists teach concerning their mercury; and yet he himself (but with his wonted modesty) substitutes instead of the description of _libavius_, another, which many readers, especially if they be not peripateticks, will not know what to make of. for scarce telling us any more, then that in all bodies that which is found besides salt and sulphur, and the elements, or, as they call them, phlegm and dead earth, is that spirit which in _aristotles_ language may be call'd [greek: ousian analogon [errata: ousia analogos] tô tôn astrôn stoichaiô [errata: astrôn stoicheiô]]. he sayes that which i confess is not at all satisfactory to me, who do not love to seem to acquiesce in any mans mystical doctrines, that i may be thought to understand them. [footnote : _chm. tyrocin. lib. . cap. ._] if (sayes _eleutherius_) i durst presume that the same thing would be thought clear by me, and those that are fond of such cloudy expressions as you justly tax the chymists for, i should venture to offer to consideration, whether or no, since the mercurial principle that arises from distillation is unanimously asserted to be distinct from the salt and sulphur of the same concrete, that may not be call'd the mercury of a body, which though it ascend in distillation, as do the phlegme and sulphur, is neither insipid like the former, nor inflamable like the latter. and therefore i would substitute to the too much abused name of mercury, the more clear and familiar appellation of spirit, which is also now very much made use of even by the chymists themselves, of our times, though they have not given us so distinct an explication, as were fit, of what may be call'd the spirit of a mixt body. i should not perhaps (sayes _carneades_) much quarrel with your notion of mercury. but as for the chymists, what they can mean, with congruity to their own principles, by the mercury of animals and vegetables, 'twill not be so easie to find out; for they ascribe tasts only to the saline principle, and consequently would be much put to it to shew what liquor it is, in the resolution of bodies, that not being insipid, for that they call phlegme, neither is inflamable as oyle or sulphur, nor has any tast; which according to them must proceed from a mixture, at least, of salt. and if we should take spirit in the sence of the word receiv'd among modern chymists and physitians, for any distill'd liquor that is neither phlegme nor oyle, the appellation would yet appear ambiguous enough. for, plainly, that which first ascends in the distillation of wine and fermented liquors, is generally as well by chymists as others reputed a spirit. and yet pure spirit of wine being wholly inflamable ought according to them to be reckon'd to the sulphureous, not the mercurial principle. and among the other liquors that go under the name of spirits, there are divers which seem to belong to the family of salts, such as are the spirits of nitre, vitriol, sea-salt and others, and even the spirit of harts-horn, being, as i have try'd, in great part, if not totally reducible into salt and phlegme, may be suspected to be but a volatile salt disguis'd by the phlegme mingl'd with it into the forme of a liquor. however if this be a spirit, it manifestly differs very much from that of vinager, the tast of the one being acid, and the other salt, and their mixture in case they be very pure, sometimes occasioning an effervescence like that of those liquors the chymists count most contrary to one another. and even among those liquors that seem to have a better title then those hitherto mention'd, to the name of spirits, there appears a sensible diversity; for spirit of oak, for instance, differs from that of tartar, and this from that of box, or of _guaiacum_. and in short, even these spirits as well as other distill'd liquors manifest a great disparity betwixt themselves, either in their actions on our senses, or in their other operations. and (continues _carneades_) besides this disparity that is to be met with among those liquors that the modernes call spirits, & take for similar bodies, what i have formerly told you concerning the spirit of box-wood may let you see that some of those liquors not only have qualities very differing from others, but may be further resolved into substances differing from one another. and since many moderne chymists and other naturalists are pleased to take the mercurial spirit of bodies for the same principle, under differing names, i must invite you to observe, with me, the great difference that is conspicuous betwixt all the vegetable and animal spirits i have mention'd and running mercury. i speak not of that which is commonly sold in shops that many of themselves will confesse to be a mixt body; but of that which is separated from metals, which by some chymists that seem more philosophers then the rest, and especially by the above mentioned _claveus_, is (for distinction sake) called _mercurius corporum_. now this metalline liquor being one of those three principles of which mineral bodies are by _spagyrists_ affirmed to be compos'd and to be resoluble into them, the many notorious differences betwixt them and the mercuries, as they call them, of vegetables and animals will allow me to inferr, either that minerals and the other two sorts of mixt bodies consist not of the same elements, or that those principles whereinto minerals are immediately resolved, which chymists with great ostentation shew us as the true principles, of them, are but secundary principles, or mixts of a peculiar sort, which must be themselves reduc'd to a very differing forme, to be of the same kind with vegetable and animal liquors. but this is not all; for although i formerly told you how little credit there is to be given to the chymical processes commonly to be met with, of extracting the mercuries of metals, yet i will now add, that supposing that the more judicious of them do not untruly affirme that they have really drawn true and running mercury from several metals (which i wish they had cleerly taught us how to do also,) yet it may be still doubted whether such extracted mercuries do not as well differ from common quicksilver, and from one another, as from the mercuries of vegetables and animalls. _claveus_,[ ] in his apology, speaking of some _experiments_ whereby metalline mercuries may be fixt into the nobler metals, adds, that he spake of the mercuries drawn from metals; because common quicksilver by reason of its excessive coldnesse and moisture is unfit for that particular kind of operation; for which though a few lines before he prescribes in general the mercuries of metalline bodies, yet he chiefly commends that drawn by art from silver. and elsewhere, in the same book, he tells us, that he himself tryed, that by bare coction the quicksilver of tin or pewter (_argentum vivum ex stanno prolicitum_) may by an efficient cause, as he speaks, be turn'd into pure gold. and the experienc'd _alexander van suchten_, somewhere tells us, that by a way he intimates may be made a mercury of copper, not of the silver colour of other mercuries, but green; to which i shall add, that an eminent person, whose name his travells and learned writings have made famous, lately assur'd me that he had more then once seen the mercury of lead (which whatever authors promise, you will find it very difficult to make, at least in any considerable quantity) fixt into perfect gold. and being by me demanded whether or no any other mercury would not as well have been changed by the same operations, he assured me of the negative. [footnote : _dixi autem de argento vivo a metallis prolicito, quod vulgare ob nimiam frigiditatem & humiditatem nimium concoctioni est contumax, nec ab auro solum alterato coerceri potest._ gast. clave. in apoll.] and since i am fallen upon the mention of the mercuries of metals, you will perhaps expect (_eleutherius_!) that i should say something of their two other principles; but must freely confess to you, that what disparity there may be between the salts and sulphurs of metals and other menerals [transcriber's note: minerals], i am not my self experienced enough in the separations and examens of them, to venture to determine: (for as for the salts of metals, i formerly represented it as a thing much to be question'd, whether they have any at all:) and for the processes of separation i find in authors, if they were (what many of them are not) successfully practicable, as i noted above, yet they are to be performed by the assistance of other bodies, so hardly, if upon any termes at all, separable from them, that it is very difficult to give the separated principles all their due, and no more. but the sulphur of antimony which is vehemently vomitive, and the strongly scented anodyne sulphur of vitriol inclines me to think that not only mineral sulphurs differ from vegetable ones, but also from one another, retaining much of the nature of their concretes. the salts of metals, and of some sort of minerals, you will easily guesse by [errata: (by] the doubts i formerly express'd, whether metals have any salt at all [errata: all)], that i have not been so happy as yet to see, perhaps not for want of curiosity. but if _paracelsus_ did alwaies write so consentaneously to himself that his opinion were _confidently_ to be collected from every place of his writings where he seems to expresse it, i might safely take upon me to tell you, that he both countenances in general what i have delivered in my fourth main consideration, and in particular warrants me to suspect that there may be a difference in metalline and mineral salts, as well as we find it in those of other bodies. for, _sulphur_ (sayes he)[ ] _aliud in auro, aliud in argento, aliud in ferro, aliud in plumbo, stanno, &c. sic aliud in saphiro, aliud in smaragdo, aliud in rubino, chrysolito, amethisto, magnete, &c. item aliud in lapidibus, silice, salibus, fontibus, &c. nec vero tot sulphura tantum, sed & totidem salia; sal aliud in metallis, aliud in gemmis, aliud in lapidibus, aliud in salibus, aliud in vitriolo, aliud in alumine: similis etiam mercurii est ratio. alius in metallis, alius in gemmis, &c. ita ut unicuique speciei suus peculiaris mercurius sit. et tamen res saltem tres sunt; una essentia est sulphur; una est sal; una est mercurius. addo quod & specialius adhuc singula dividantur; aurum enim non unum, sed multiplex, ut et non unum pyrum, pomum, sed idem multiplex; totidem etiam sulphura auri, salia auri, mercurii auri; idem competit etiam metallis & gemmis; ut quot saphyri præstantiores, lævioris, &c. tot etiam saphyrica sulphura, saphyrica salia, saphyrici mercurii, &c. idem verum etiam est de turconibus & gemmis aliis universis._ from which passage (_eleutherius_) i suppose you will think i might without rashness conclude, either that my opinion is favoured by that of _paracelsus_, or that _paracelsus_ his opinion was not alwaies the same. but because in divers other places of his writings he seems to talk at a differing rate of the three principles and the four elements, i shall content my self to inferr from the alledg'd passage, that if his doctrine be not consistent with that part of mine which it is brought to countenance, it is very difficult to know what his opinion concerning salt, sulphur and mercury, was; and that consequently we had reason about the beginning of our conferences, to decline taking upon us, either to examine or oppose it. [footnote : paracel. de mineral. tract. . pag. .] i know not whether i should on this occasion add, that those very bodies the chymists call phlegme and earth do yet recede from an elementary simplicity. that common earth and water frequently do so, notwithstanding the received contrary opinion, is not deny'd by the more wary of the moderne peripateticks themselves: and certainly, most earths are much lesse simple bodies then is commonly imagined even by chymists, who do not so consideratly to prescribe and employ earths promiscuously in those distillations that require the mixture of some _caput mortuum_, to hinder the flowing together of the matter, and to retain its grosser parts. for i have found some earths to yield by distillation a liquor very far from being inodorous or insipid; and 'tis a known observation, that most kinds of fat earth kept cover'd from the rain, and hindred from spending themselves in the production of vegetables, will in time become impregnated with salt-petre. but i must remember that the water and earths i ought here to speak of, are such as are separated from mixt bodies by the fire; and therefore to restrain my discourse to such, i shall tell you, that we see the phlegme of vitriol (for instance) is a very effectual remedie against burnes; and i know a very famous and experienc'd _physitian_, whose unsuspected secret (himself confess'd to me) it is, for the discussing of hard and obstinate tumours. the phlegme of vinager, though drawn exceeding leasurly in a digesting furnace, i have purposely made tryall of; and sometimes found it able to draw, though slowly, a saccharine sweetness out of lead; and as i remember by long digestion, i dissolv'd corpals [errata: corals] in it. the phlegme of the sugar of saturne is said to have very peculiar properties. divers eminent chymists teach, that it will dissolve pearls, which being precipitated by the spirit of the same concrete are thereby (as they say) rendred volatile; which has been confirmed to me, upon his own observation, by a person of great veracity. the phlegme of wine, and indeed divers other liquors that are indiscriminately condemnd to be cast away as phlegm, are endow'd with qualities that make them differ both from meer water, and from each other; and whereas the chymists are pleas'd to call the _caput mortuum_ of what they have distill'd (after they have by affusion of water drawn away its salt) _terra damnata_, or earth, it may be doubted whether or no those earths are all of them perfectly alike: and it is scarce to be doubted, but that there are some of them which remain yet unreduc'd to an elementary nature. the ashes of wood depriv'd of all the salt, and bone-ashes, or calcin'd harts-horn, which refiners choose to make tests of, as freest from salt, seem unlike: and he that shall compare either of these insipid ashes to lime, and much more to the _calx_ of talk [transcriber's note: talck] (though by the affusion of water they be exquisitely dulcify'd) will perhaps see cause to think them things of a somewhat differing nature. and it is evident in colcothar that the exactest calcination, follow'd by an exquisite dulcification, does not alwaies reduce the remaining body into elementary earth; for after the salt or vitriol (if the calcination have been too faint) is drawn out of the colcothar, the residue is not earth, but a mixt body, rich in medical vertues (as experience has inform'd me) and which _angelus sala_ affirmes to be partly reducible into malleable copper; which i judge very probable: for though when i was making experiments upon colcothar, i was destitute of a furnace capable of giving a heat intense enough to bring such a calx to fusion; yet having conjectur'd that if colcothar abounded with that metal, aqua fortis would find it out there, i put some dulcifi'd colcothar into that _menstruum_, and found the liquor, according to my expectation, presently colour'd as highly as if it had been an ordinary solution of copper. the sceptical chymist. _the fifth part._ here _carneades_ making a pause, i must not deny (sayes his friend to him) that i think you have sufficiently prov'd that these distinct substances which chymists are wont to obtain from mixt bodies, by their vulgar destillation, are not pure and simple enough to deserve, in rigour of speaking, the name of elements, or principles. but i suppose you have heard, that there are some modern _spagyrists_, who give out that they can by further and more skilfull purifications, so reduce the separated ingredients of mixt bodies to an elementary simplicity, that the oyles (for instance) extracted from all mixts shall as perfectly resemble one another, as the drops of water do. if you remember (replies _carneades_) that at the beginning of our conference with _philoponus_, i declar'd to him before the rest of the company, that i would not _engage_ my self at present to do any more then examine the usual proofs alledg'd by chymists, for the vulgar doctrine of their three hypostatical principles; you will easily perceive that i am not oblig'd to make answer to what you newly propos'd; and that it rather grants, then disproves what i have been contending for: since by pretending to make so great a change in the reputed principles that destillation affords the common _spagyrists_, 'tis plainly enough presuppos'd, that before such artificial depurations be made, the substances to be made more simple were not yet simple enough to be look'd upon as elementary; wherefore in case the _artists_ you speak of could perform what they give out they can, yet i should not need to be asham'd of having question'd the vulgar opinion touching the _tria prima_. and as to the thing it self, i shall freely acknowledge to you, that i love not to be forward in determining things to be impossible, till i know and have consider'd the means by which they are propos'd to be effected. and therefore i shall not peremptorily deny either the possibility of what these _artists_ promise, or my assent to any just inference; however destructive to my conjectures, that may be drawn from their performances. but give me leave to tell you withall, that because such promises are wont (as experience has more then once inform'd me) to be much more easily made, then made good by chymists, i must withhold my beliefe from their assertions, till their experiments exact it; and must not be so easie as to expect before hand, an unlikely thing upon no stronger inducements then are yet given me: besides that i have not yet found by what i have heard of these artists, that though they pretend to bring the several substances into which the fire has divided the concrete, to an exquisite simplicity, they pretend also to be able by the fire to divide all concretes, minerals, and others, into the same number of distinct substances. and in the mean time i must think it improbable, that they can either truly separate as many differing bodies from gold (for instance) or _osteocolla_, as we can do from wine, or vitriol; or that the mercury (for example) of gold or saturn would be perfectly of the same nature with that of harts-horn; and that the sulphur of antimony would be but numerically different from the distill'd butter or oyle of roses. but suppose (sayes _eleutherius_) that you should meet with chymists, who would allow you to take in earth and water into the number of the principles of mixt bodies; and being also content to change the ambiguous name of mercury for that more intelligible one of spirit, should consequently make the principles of compound bodies to be five; would you not think it something hard to reject so plausible an opinion, only because the five substances into which the fire divides mixt bodies are not exactly pure, and homogeneous? for my part (continues _carneades_) i cannot but think it somewhat strange, in case this opinion be not true, that it should fall out so luckily, that so great a variety of bodies should be analyz'd by the fire into just five distinct substances; which so little differing from the bodies that bear those names, may so plausibly be call'd oyle, spirit, salt, water, and earth. the opinion you now propose (answers _carneades_) being another then that i was engag'd to examine, it is not requisite for me to debate it at present; nor should i have leisure to do it thorowly. wherefore i shall only tell you in general, that though i think this opinion in some respects more defensible then that of the vulgar chymists; yet you may easily enough learn from the past discourse what may be thought of it: since many of the objections made against the vulgar doctrine of the chymists seem, without much alteration, employable against this _hypothesis_ also. for, besides that this doctrine does as well as the other take it for granted, (what is not easie to be prov'd) that the fire is the true and adequate analyzer of bodies, and that all the distinct substances obtainable from a mixt body by the fire, were so pre-existent in it, that they were but extricated from each other by the _analysis_; besides that this opinion, too, ascribe [errata: ascribes] to the productions of the fire an elementary simplicity, which i have shewn not to belong to them; and besides that this doctrine is lyable to some of the other difficulties, wherewith that of the _tria prima_ is incumber'd; besides all this, i say, this quinary number of elements, (if you pardon the expression) ought at least to have been restrain'd to the generality of animal and vegetable bodies, since not only among these there are some bodies (as i formerly argu'd) which, for ought has yet been made to appear, do consist, either of fewer or more similar substances then precisely five. but in the mineral kingdom, there is scarce one concrete that has been evinc'd to be adequatly divisible into such five principles or elements, and neither more nor less, as this opinion would have every mixt body to consist of. and this very thing (continues _carneades_) may serve to take away or lessen your wonder, that just so many bodies as five should be found upon the resolution of concretes. for since we find not that the fire can make any such _analysis_ (into five elements) of metals and other mineral bodies, whose texture is more strong and permanent, it remains that the five substances under consideration be obtain'd from vegetable and animal bodies, which (probably by reason of their looser contexture) are capable of being distill'd. and as to such bodies, 'tis natural enough, that, whether we suppose that there are, or are not, precisely five elements, there should ordinarily occurr in the dissipated parts a five fold diversity of scheme (if i may so speak.) for if the parts do not remain all fix'd, as in gold, calcin'd talck, &c. nor all ascend, as in the sublimation of brimstone, camphire, &c. but after their dissipation do associate themselves into new schemes of matter; it is very likely, that they will by the fire be divided into fix'd and volatile (i mean, in reference to that degree of heat by which they are destill'd) and those volatile parts will, for the most part, ascend either in a dry forme, which chymists are pleas'd to call, if they be tastless, flowers; if sapid, volatile salt; or in a liquid forme. and this liquor must be either inflamable, and so pass for oyl, or not inflamable, and yet subtile and pungent, which may be call'd spirit; or else strengthless or insipid, which may be nam'd phlegme, or water. and as for the fixt part, or _caput mortuum_, it will most commonly consist of corpuscles, partly soluble in water, or sapid, (especially if the saline parts were not so volatile, as to fly away before) which make up its fixt salt; and partly insoluble and insipid, which therefore seems to challenge the name of earth. but although upon this ground one might easily enough have foretold, that the differing substances obtain'd from a perfectly mixt body by the fire would for the most part be reducible to the five newly mentioned states of matter; yet it will not presently follow, that these five distinct substances were simple and primogeneal bodies, so pre-existent in the concrete that the fire does but take them asunder. besides that it does not appear, that all mixt bodies, (witness, gold, silver, mercury, &c.) nay nor perhaps all vegetables, which may appear by what we said above of _camphire_, _benzoin_, &c. are resoluble by fire into just such differing schemes of matter. nor will the experiments formerly alledg'd permit us to look upon these separated substances as elementary, or uncompounded. neither will it be a sufficient argument of their being bodies that deserve the names which chymists are pleas'd to give them, that they have an analogy in point of consistence, or either volatility or fixtness, or else some other obvious quality, with the suppos'd principles, whose names are ascrib'd to them. for, as i told you above, notwithstanding this resemblance in some one quality, there may be such a disparity in others, as may be more fit to give them differing appellations, then the resemblance is to give them one and the same. and indeed it seems but somewhat a gross way of judging of the nature of bodies, to conclude without scruple, that those must be of the same nature that agree in some such general quality, as fluidity, dryness, volatility, and the like: since each of those qualities, or states of matter, may comprehend a great variety of bodies, otherwise of a very differing nature; as we may see in the calxes of gold, of vitriol, and of venetian talck, compar'd with common ashes, which yet are very dry, and fix'd by the vehemence of the fire, as well as they. and as we may likewise gather from what i have formerly observ'd, touching the spirit of box-wood, which though a volatile, sapid, and not inflamable liquor, as well as the spirits of harts-horn, of blood and others, (and therefore has been hitherto call'd, the spirit, and esteem'd for one of the principles of the wood that affords it;) may yet, as i told you, be subdivided into two liquors, differing from one another, and one of them at least, from the generality of other chymical spirits. but you may your self, if you please, (pursues _carneades_) accommodate to the _hypothesis_ you propos'd what other particulars you shall think applicable to it, in the foregoing discourse. for i think it unseasonable for me to meddle now any further with a controversie, which since it does not now belong to me, leaves me at liberty to take my own time to declare my self about it. _eleutherius_ perceiving that _carneades_ was somewhat unwilling to spend any more time upon the debate of this opinion, and having perhaps some thoughts of taking hence a rise to make him discourse it more fully another time, thought not fit as then to make any further mention to him of the propos'd opinion, but told him; i presume i need not mind you, _carneades_, that both the patrons of the ternary number of principles, and those that would have five elements, endeavour to back their experiments with a specious reason or two; and especially some of those embracers of the opinion last nam'd (whom i have convers'd with, and found them learned men) assigne this reason of the necessity of five distinct elements; that otherwise mixt bodies could not be so compounded and temper'd as to obtain a due consistence and competent duration. for salt (say they) is the _basis_ of solidity; and permanency in compound bodies, without which the other four elements might indeed be variously and loosly blended together, but would remain incompacted; but that salt might be dissolv'd into minute parts, and convey'd to the other substances to be compacted by it, and with it, there is a necessity of water. and that the mixture may not be too hard and brittle, a sulphureous or oyly principle must intervene to make the mass more tenacious; to this a mercurial spirit must be superadded; which by its activity may for a while premeate [transcriber's note: permeate], and as it were leaven the whole mass, and thereby promote the more exquisite mixture and incorporation of the ingredients. to all which (lastly) a portion of earth must be added, which by its drinesse and poracity [errata: porosity] may soak up part of that water wherein the salt was dissolv'd, and eminently concurr with the other ingredients to give the whole body the requisite consistence. i perceive (sayes _carneades_ smiling) that if it be true, as 'twas lately rooted [errata: noted] from the proverb, _that good wits have bad memories_, you have that title, as well as a better, to a place among the good wits. for you have already more then once forgot, that i declar'd to you that i would at this conference examine only the experiments of my adversaries, not their speculative reasons. yet 'tis not (subjoynes _carneades_) for fear of medling with the argument you have propos'd, that i decline the examining it at present. for if when we are more at leasure, you shall have a mind that we may solemnly consider of it together; i am confident we shall scarce find it insoluble. and in the mean time we may observe, that such a way of arguing may, it seems, be speciously accommodated to differing _hypotheses_. for i find that _beguinus_, and other assertors of the _tria prima_, pretend to make out by such a way, the requisiteness of their salt, sulphur and mercury, to constitute mixt bodies, without taking notice of any necessity of an addition of water and earth. and indeed neither sort of chymists seem to have duly consider'd how great variety there is in the textures and consistences of compound bodie; sand [errata: bodies; and] how little the consistence and duration of many of them seem to accommodate and be explicable by the propos'd notion. and not to mention those almost incorruptible substances obtainable by the fire, which i have prov'd to be somewhat compounded, and which the chymists will readily grant not to be perfectly mixt bodies: (not to mention these, i say) if you will but recall to mind some of those experiments, whereby i shew'd you that out of common water only mixt bodies (and even living ones) of very differing consistences, and resoluble by fire into as many principles as other bodies acknowledg'd to be perfectly mixt; if you do this, i say, you will not, i suppose, be averse from beleeving, that nature by a convenient disposition of the minute parts of a portion of matter may contrive bodies durable enough, and of this, or that, or the other consistence, without being oblig'd to make use of all, much less of any determinate quantity of each of the five elements, or of the three principles to compound such bodies of. and i have (pursues _carneades_) something wonder'd, chymists should not consider, that there is scarce any body in nature so permanent and indissoluble as glass; which yet themselves teach us may be made of bare ashes, brought to fusion by the meer violence of the fire; so that, since ashes are granted to consist but of pure salt and simple earth, sequestred from all the other principles or elements, they must acknowledge, that even art it self can of two elements only, or, if you please, one principle and one element, compound a body more durable then almost any in the world. which being undeniable, how will they prove that nature cannot compound mixt bodies, and even durable ones, under all the five elements or material principles. but to insist any longer on this occasional disquisition, touching their opinion that would establish five elements, were to remember as little as you did before, that the debate of this matter is no part of my first undertaking; and consequently, that i have already spent time enough in what i look back upon but as a digression, or at best an excursion. and thus, _eleutherius_, (sayes _carneades_) having at length gone through the four considerations i propos'd to discourse unto you, i hold it not unfit, for fear my having insisted so long on each of them may have made you forget their _series_, briefly to repeat them by telling you, that since, in the first place, it may justly be doubted whether or no the fire be, as chymists suppose it, the genuine and universal resolver of mixt bodies; since we may doubt, in the next place, whether or no all the distinct substances that may be obtain'd from a mixt body by the fire were pre-existent there in the formes in which they were separated from it; since also, though we should grant the substances separable from mixt bodies by the fire to have been their component ingredients, yet the number of such substances does not appear the same in all mixt bodies; some of them being resoluble into more differing substances than three, and others not being resoluble into so many as three. and since, lastly, those very substances that are thus separated are not for the most part pure and elementary bodies, but new kinds of mixts; since, i say, these things are so, i hope you will allow me to inferr, that the vulgar experiments (i might perchance have added, the arguments too) wont to be alledg'd by chymists to prove, that their three hypostatical principles do adequately compose all mixt bodies, are not so demonstrative as to reduce a wary person to acquiesce in their doctrine, which, till they explain and prove it better, will by its perplexing darkness be more apt to puzzle then satisfy considering men, and will to them appear incumbred with no small difficulties. and from what has been hitherto deduc'd (continues _carneades_) we may learn, what to judge of the common practice of those chymists, who because they have found that diverse compound bodies (for it will not hold in all) can be resolv'd into, or rather can be brought to afford two or three differing substances more then the soot and ashes, whereinto the naked fire commonly divides them in our chymnies, cry up their own sect for the invention of a new philosophy, some of them, as _helmont, &c._ styling themselves philosophers by the fire; and the most part not only ascribing, but as far as in them lies, engrossing to those of their sect the title of philosophers. but alas, how narrow is this philosophy, that reaches but to some of those compound bodies, which we find but upon, or in the crust or outside of our terrestrial globe, which is it self but a point in comparison of the vast extended universe, of whose other and greater parts the doctrine of the _tria prima_ does not give us an account! for what does it teach us, either of the nature of the sun, which astronomers affirme to be eight-score and odd times bigger then the whole earth? or of that of those numerous fixt starrs, which, for ought we know, would very few, if any of them, appear inferiour in bulke and brightness to the sun, if they were as neer us as he? what does the knowing that salt, sulphur and mercury, are the principles of mixt bodies, informe us of the nature of that vast, fluid, and Ætherial substance, that seemes to make up the interstellar, and consequently much the greatest part of the world? for as for the opinion commonly ascrib'd to _paracelsus_, as if he would have not only the four peripatetick elements, but even the celestial parts of the universe to consist of his three principles, since the modern chymists themselves have not thought so groundless a conceit worth their owning, i shall not think it worth my confuting. but i should perchance forgive the hypothesis i have been all this while examining, if, though it reaches but to a very little part of the world, it did at least give us a satisfactory account of those things to which 'tis said to reach. but i find not, that it gives us any other then a very imperfect information even about mixt bodies themselves: for how will the knowledge of the _tria prima_ discover to us the reason, why the loadstone drawes a needle and disposes it to respect the poles, and yet seldom precisely points at them? how will this hypothesis teach us how a chick is formed in the egge, or how the seminal principles of mint, pompions, and other vegitables, that i mention'd to you above, can fashion water into various plants, each of them endow'd with its peculiar and determinate shape, and with divers specifick and discriminating qualities? how does this hypothesis shew us, how much salt, how much sulphur, and how much mercury must be taken to make a chick or a pompion? and if we know that, what principle is it, that manages these ingredients, and contrives (for instance) such liquors as the white and yelk of an egge into such a variety of textures as is requisite to fashion the bones, veines, arteries, nerves, tendons, feathers, blood, and other parts of a chick; and not only to fashion each limbe, but to connect them altogether, after that manner that is most congruous to the perfection of the animal which is to consist of them? for to say, that some more fine and subtile part of either or all the hypostatical principles is the director in all this business, and the architect of all this elaborate structure, is to give one occasion to demand again, what proportion and way of mixture of the _tria prima_ afforded this _architectonick_ spirit, and what agent made so skilful and happy a mixture? and the answer to this question, if the chymists will keep themselves within their three principles, will be lyable to the same inconvenience, that the answer to the former was. and if it were not to intrench upon the theame of a friend of ours here present, i could easily prosecute the imperfections of the vulgar chymists philosophy, and shew you, that by going about to explicate by their three principles, i say not, all the abstruse properties of mixt bodies, but even such obvious and more familiar _phænomena_ as _fluidity_ and _firmness_, the colours and figures of stones, minerals, and other compound bodies, the nutrition of either plants or animals, the gravity of gold or quicksilver compar'd with wine or spirit of wine; by attempting, i say, to render a reason of these (to omit a thousand others as difficult to account for) from any proportion of the three simple ingredients, chymists will be much more likely to discredit themselves and their _hypothesis_, then satisfy an intelligent inquirer after truth. but (interposes _eleutherus_) [transcriber's note: eleutherius] this objection seems no more then may be made against the four peripatetick elements. and indeed almost against any other _hypothesis_, that pretends by any determinate number of material ingredients to render a reason of the _phænomena_ of nature. and as for the use of the chymical doctrine of the three principles, i suppose you need not be told by me, that the great champion of it, the learned _sennertus_,[ ] assignes this noble use of the _tria prima_, that from them, as the neerest and most proper principles, may be deduc'd and demonstrated the properties which are in mixt bodies, and which cannot be proximately (as they speak) deduc'd from the elements. and this, sayes he, is chiefly apparent, when we inquire into the properties and faculties of medecines. and i know (continues _eleutherius_) that the person you have assum'd, of an opponent of the _hermetick doctrine_, will not so far prevaile against your native and wonted equity, as to keep you from acknowledging that philosophy is much beholden to the notions and discoveries of chymists. [footnote : _senn. de cons. & dissen. p. ._] if the chymists you speak of (replyes _carneades_) had been so modest, or so discreet, as to propose their opinion of the _tria prima_, but as a notion useful among others, to increase humane knowledge, they had deserv'd more of our thanks; and less of our opposition; but since the thing that they pretend is not so much to contribute a notion toward the improvement of philosophy, as to make this notion attended [errata: (attended] by a few lesse considerable ones) pass for a new philosophy itself. nay, since they boast so much of this phancie of theirs, that the famous _quercetanus_ scruples not to write, that if his most certain doctrine of the three principles were sufficiently learned, examin'd, and cultivated, it would easily dispel all the darkness that benights our minds, and bring in a clear light, that would remove all difficulties. this school affording theorems and axiomes irrefragable, and to be admitted without dispute by impartial judges; and so useful withal, as to exempt us from the necessity of having recourse, for want of the knowledg of causes, to that sanctuary of the igorant [transcriber's note: ignorant], occult qualities; since, i say, this domestick notion of the chymists is so much overvalued by them, i cannot think it unfit, they should be made sensible of their mistake; and be admonish'd to take in more fruitful and comprehensive principles, if they mean to give us an account of the _phænomena_ of nature; and not confine themselves and (as far as they can) others to such narrow principles, as i fear will scarce inable them to give an account (i mean an intelligible one) of the tenth part (i say not) of all the _phænomena_ of nature; but even of all such as by the _leucippian_ or some of the other sorts of principles may be plausibly enough explicated. and though i be not unwilling to grant, that the incompetency i impute to the chymical _hypothesis_ is but the same which may be objected against that of the four elements, and divers other doctrines that have been maintain'd by learned men; yet since 'tis the chymical _hypothesis_ only which i am now examining, i see not why, if what i impute to it be a real inconvenience, either it should cease to be so, or i should scruple to object it, because either theories are lyable thereunto, as well as the hermetical. for i know not why a truth should be thought lesse a truth for the being fit to overthrow variety of errors. i am oblig'd to you (continues _carneades_, a little smiling) for the favourable opinion you are pleas'd to express of my equity, if there be no design in it. but i need not be tempted by an artifice, or invited by a complement, to acknowledge the great service that the labours of chymists have done the lovers of useful learning; nor even on this occasion shall their arrogance hinder my gratitude. but since we are as well examining to [errata: delete "to"] the truth of their doctrine as the merit of their industry, i must in order to the investigation of the first, continue a reply, to talk at the rate of the part i have assum'd; and tell you, that when i acknowledg the usefulness of the labours of _spagyrists_ to natural philosophy, i do it upon the score of their experiments, not upon that of their speculations; for it seems to me, that their writings, as their furnaces, afford as well smoke as light; and do little lesse obscure some subjects, then they illustrate others. and though i am unwilling to deny, that 'tis difficult for a man to be an accomplisht naturalist, that is a stranger to chymistry, yet i look upon the common operations and practices of chymists, almost as i do on the letters of the alphabet, without whose knowledge 'tis very hard for a man to become a philosopher; and yet that knowledge is very far from being sufficient to make him one. but (sayes _carneades_, resuming a more serious look) to consider a little more particularly what you alledg in favour of the chymical doctrine of the _tria prima_, though i shall readily acknowledge it not to be unuseful, and that the divisers [errata: devisers] and embracers of it have done the common-wealth of learning some service, by helping to destroy that excessive esteem, or rather veneration, wherewith the doctrine of the four elements was almost as generally as undeservedly entertain'd; yet what has been alledg'd concerning the usefulness of the _tria prima_, seems to me liable to no contemptible difficulties. and first, as for the very way of probation, which the more learned and more sober champions of the chymical cause employ to evince the chymical principles in mixt bodies, it seems to me to be farr enough from being convincing. this grand and leading argument, your _sennertus_ himself, who layes great weight upon it, and tells us, that the most learned philosophers employ this way of reasoning to prove the most important things, proposes thus: _ubicunque_ (sayes he) _pluribus eædem affectiones & qualitates insunt, per commune quoddam principium insint necesse est, sicut omnia sunt gravia propter terram, calida propter ignem. at colores, odores, sapores, esse_ [greek: phlogiston] _& similia alia, mineralibus, metallis, gemmis, lapidibus, plantis, animalibus insunt. ergo per commune aliquod principium, & subiectum, insunt. at tale principium non sunt elementa. nullam enim habent ad tales qualitates producendas potentiam. ergo alia principia, unde fluant, inquirenda sunt._ in the recital of this argument, (sayes _carneades_) i therefore thought fit to retain the language wherein the author proposes it, that i might also retain the propriety of some latine termes, to which i do not readily remember any that fully answer in english. but as for the argumentation it self, 'tis built upon a precarious supposition, that seems to me neither demonstrable nor true; for, how does it appear, that where the same quality is to be met with in many bodies, it must belong to them upon the account of some one body whereof they all partake? (for that the major of our authors argument is to be understood of the material ingredients of bodies, appears by the instances of earth and fire he annexes to explain it.) for to begin with that very example which he is pleas'd to alledge for himself; how can he prove, that the gravity of all bodies proceeds from what they participate of the element of earth? since we see, that not only common water, but the more pure distill'd rain water is heavy; and quicksilver is much heavier than earth it self; though none of my adversaries has yet prov'd, that it contains any of that element. and i the rather make use of this example of quicksilver, because i see not how the assertors of the elements will give any better account of it then the chymists. for if it be demanded how it comes to be fluid, they will answer, that it participates much of the nature of water. and indeed, according to them, water may be the predominant element in it, since we see, that several bodies which by distillation afford liquors that weigh more then their _caput mortuum_ do not yet consist of liquor enough to be fluid. yet if it be demanded how quicksilver comes to be so heavy, then 'tis reply'd, that 'tis by reason of the earth that abounds in it; but since, according to them, it must consist also of air, and partly of fire, which they affirm to be light elements, how comes it that it should be so much heavier then earth of the same bulk, though to fill up the porosities and other cavities it be made up into a mass or paste with water, which it self they allow to be a heavy element. but to returne to our _spagyrists_, we see that chymical oyles and fixt salts, though never so exquisitely purify'd and freed from terrestrial parts, do yet remain ponderous enough. and experience has inform'd me, that a pound, for instance, of some of the heaviest woods, as _guajacum_ that will sink in water, being burnt to ashes will yield a much less weight of them (whereof i found but a small part to be alcalyzate) then much lighter vegetables: as also that the black charcoal of it will not sink as did the wood, but swim; which argues that the differing gravity of bodies proceeds chiefly from their particular texture, as is manifest in gold, the closest and compactest of bodies, which is many times heavier then we can possibly make any parcell of earth of the same bulk. i will not examine, what may be argu'd touching the gravity or quality analagous thereunto, of even celestial bodies, from the motion of the spots about the sun, d [errata: and] from the appearing equality of the suppos'd seas in the moon; nor consider how little those _phæmonea_ [transcriber's note: phænomena] would agree with what _sennertus_ presumes concerning gravity. but further to invalidate his supposition, i shall demand, upon what chymical principle fluidity depends? and yet fluidity is, two or three perhaps excepted, the most diffused quality of the universe, and far more general then almost any other of those that are to be met with in any of the chymicall principles, or _aristotelian_ elements; since not only the air, but that vast expansion we call heaven, in comparison of which our terrestrial globe (supposing it were all solid) is but a point; and perhaps to [errata: too] the sun and the fixt stars are fluid bodies. i demand also, from which of the chymical principles motion flowes; which yet is an affection of matter much more general then any that can be deduc'd from any of the three chymical principles. i might ask the like question concerning light, which is not only to be found in the kindl'd sulphur of mixt bodis [transcriber's note: bodies], but (not to mention those sorts of rotten woods, and rotten fish that shine in the dark) in the tails of living glow-wormes, and in the vast bodies of the sun and stars. i would gladly also know, in which of the three principles the quality, we call sound, resides as in its proper subject; since either oyl falling upon oyle, or spirit upon spirit, or salt upon salt, in a great quantity, and from a considerable height, will make a noise, or if you please, create a sound, and (that the objection may reach the _aristotelians_) so will also water upon water, and earth upon earth. and i could name other qualities to be met within divers bodies, of which i suppose my adversaries will not in haste assign any subject, upon whose account it must needs be, that the quality belongs to all the other several bodies. and, before i proceed any further, i must here invite you to compare the supposition we are examining, with some other of the chymical tenents. for, first they do in effect teach that more then one quality may belong to, and be deduc'd from, one principle. for, they ascribe to salt tasts, and the power of coagulation; to sulphur, as well odours as inflamableness; and some of them ascribe to mercury, colours; as all of them do effumability, as they speak. and on the other side, it is evident that volatility belongs in common to all the three principles, and to water too. for 'tis manifest, that chymical oyles are volatile; that also divers salts emerging, upon the analysis of many concretes, are very volatile, is plain from the figitiveness [errata: fugitivenesse] of salt, of harts-horne, flesh, &c. ascending in the distillation of those bodies. how easily water may be made to ascend in vapours, there is scarce any body that has not observ'd. and as for what they call the mercuriall principle of bodies, that is so apt to be rais'd in the form of steam, that _paracelsus_ and others define it by that aptness to fly up; so that (to draw that inference by the way) it seems not that chymists have been accurate in their doctrine of qualities, and their respective principles, since they both derive several qualities from the same principle, and must ascribe the same quality to almost all their principles and other bodies besides. and thus much for the first thing taken for granted, without sufficient proof, by your _sennertus_: and to add that upon the bye (continues _carneades_) we may hence learn what to judge of the way of argumentation, which that fierce champion of the _aristotelians_ against the chymists, _anthonius guntherus billichius_[ ] employes, where he pretends to prove against _beguinus_, that not only the four elements do immediately concur to constitute every mixt body, and are both present in it, and obtainable from it upon its dissolution; but that in the _tria prima_ themselves, whereinto chymists are wont to resolve mixt bodies, each of them clearly discovers it self to consist of four elements. the ratiocination it self (pursues _carneades_) being somewhat unusual, i did the other day transcribe it, and (sayes he, pulling a paper out of his pocket) it is this. _ordiamur, cum beguino, a ligno viridi, quod si concremetur, videbis in sudore aquam, in fumo aerem, in flamma & prunis ignem, terram in cineribus: quod si beguino placuerit ex eo colligere humidum aquosum, cohibere humidum oleaginosum, extrahere ex cineribus salem; ego ipsi in unoquoque horum seorsim quatuor elementa ad oculum demonstrabo, eodem artificio quo in ligno viridi ea demonstravi. humorem aquosum admovebo igni. ipse aquam ebullire videbit, in vapore aerem conspiciet, ignem sentiet in æstu, plus minus terræ in sedimento apparebit. humor porro oleaginosus aquam humiditate & fluiditate per se, accensus vero ignem flamma prodit, fumo aerem, fuligine, nidore & amurca terram. salem denique ipse beguinus siccum vocat & terrestrem, qui tamen nec fusus aquam, nec caustica vi ignem celare potest; ignis vero violentia in halitus versus nec ab aere se alienum esse demonstrat; idem de lacte, de ovis, de semine lini, de garyophyllis, de nitro, de sale marino, denique de antimonio, quod fuit de ligno viridi judicium; eadem de illorum partibus, quas_ beguinus _adducit, sententia, quæ de viridis ligni humore aquoso, quæ de liquore ejusdem oleoso, quæ de sale fuit._ [footnote : _in thessalo redivivo. cap. . pag. . & ._] this bold discourse (resumes _carneades_, putting up again his paper,) i think it were not very difficult to confute, if his arguments were as considerable as our time will probably prove short for the remaining and more necessary part of my discourse; wherefore referring you for an answer to what was said concerning the dissipated parts of a burnt piece of green wood, to what i told _themistius_ on the like occasion, i might easily shew you, how sleightly and superficially our _guntherus_ talks of the dividing the flame of green wood into his four elements; _when_ he makes that vapour to be air, which being caught in glasses and condens'd, presently discovers it self to have been but an aggregate of innumerable very minute drops of liquor; and _when_ he would prove the phlegmes being compos'd of fire by that heat which is adventitious to the liquor, and ceases upon the absence of what produc'd it (whether that be an agitation proceeding from the motion of the external fire, or the presence of a multitude of igneous atomes pervading the pores of the vessel, and nimbly permeating the whole body of the water) i might, i say, urge these and divers other weaknesses of his discourse. but i will rather take notice of what is more pertinent to the occasion of this digression, namely, that taking it for granted, that fluidity (with which he unwarily seems to confound humidity) must proceed from the element of water, he makes a chymical oyle to consist of that elementary liquor; and yet in the very next words proves, that it consists also of fire, by its inflamability; not remembring that exquisitely pure spirit of wine is both more fluid then water it self, and yet will flame all away without leaving the least aqueous moisture behind it; and without such an _amurca_ and soot as he would deduce the presence of earth from. so that the same liquor may according to his doctrine be concluded by its great fluidity to be almost all water; and by its burning all away to be all disguised fire. and by the like way of probation our author would shew that the fixt salt of wood is compounded of the four elements. for (sayes he) being turn'd by the violence of the fire into steames, it shews it self to be of kin to air; whereas i doubt whether he ever saw a true fixt salt (which to become so, must have already endur'd the violence of an incinerating fire) brought by the fire alone to ascend in the forme of exhalations; but i do not doubt that if he did, and had caught those exhalations in convenient vessels, he would have found them as well as the steames of common salt, &c. of a saline and not an aereal nature. and whereas our authour takes it also for granted, that the fusibility of salt must be deduc'd from water, it is indeed so much the effect of heat variously agitating the minute parts of a body, without regard to water, that gold (which by its being the heavyest and fixtest of bodies, should be the most earthy) will be brought to fusion by a strong fire; which sure is more likely to drive away then increase its aqueous ingredient, if it have any; and on the other side, for want of a sufficient agitation of its minute parts, ice is not fluid, but solid; though he presumes also that the mordicant quality of bodies must proceed from a fiery ingredient; whereas, not to urge that the light and inflamable parts, which are the most likely to belong to the element of fire, must probably be driven away by that time the violence of the fire has reduc'd the body to ashes; not to urge this, i i [transcriber's note: extra "i" in original] say, nor that oyle of vitriol which quenches fire, burnes the tongue and flesh of those that unwarily tast or apply it, as a caustick doth, it is precarious to prove the presence of fire in fixt salts from their caustick power, unlesse it were first shewn, that all the qualities ascribed to salts must be deduc'd from those of the elements; which, had i time, i could easily manifest to be no easy talk. and not to mention that our authour makes a body as homogeneous as any he can produce for elementary, belong both to water and fire, though it be neither fluid nor insipid, like water; nor light and volatile, like fire; he seems to omit in this anatomy the element of earth, save that he intimates, that the salt may pass for that; but since a few lines before, he takes ashes for earth, i see not how he will avoid an inconsistency either betwixt the parts of his discourse or betwixt some of them and his doctrine. for since there is a manifest difference betwixt the saline and the insipid parts of ashes, i see not how substances that disagree in such notable qualities can be both said to be portions of an element, whose nature requires that it be homogeneous, especially in this case where an _analysis_ by the fire is suppos'd to have separated it from the admixture of other elements, which are confess'd by most _aristotelians_ to be generally found in common earth, and to render it impure. and sure if when we have consider'd for how little a disparities sake the peripateticks make these symbolizing bodies aire and fire to be two distinct elements, we shall also consider that the saline part of ashes is very strongly tasted, and easily soluble in water; whereas the other part of the same ashes is insipid and indissoluble in the same liquor: not to add, that the one substance is opacous, and the other somewhat diaphanous, nor that they differ in divers other particulars; if we consider those things, i say, we shall hardly think that both these substances are elementary earth; and as to what is sometimes objected, that their saline tast is only an effect of incineration and adustion, it has been elsewhere fully reply'd to, when propos'd by _themistius_, and where it has been prov'd against him, that however insipid earth may perhaps by additaments be turn'd into salt, yet 'tis not like it should be so by the fire alone: for we see that when we refine gold and silver, the violentest fires we can employ on them give them not the least rellish of saltness. and i think _philoponus_ has rightly observ'd, that the ashes of some concretes contain very little salt if any at all; for refiners suppose that bone-ashes are free from it, and therefore make use of them for tests and cuppels, which ought to be destitute of salt, lest the violence of the fire should bring them to vitrification; and having purposely and heedfully tasted a cuppel made of only bone-ashes and fair water, which i had caus'd to be expos'd to a very violent fire, acuated by the blast of a large pair of double bellows, i could not perceive that the force of the fire had imparted to it the least saltness, or so much as made it less insipid. but (sayes _carneades_) since neither you nor i love repetitions, i shall not now make any of what else was urg'd against _themistius_ but rather invite you to take notice with me that when our authour, though a learned man, and one that pretends skill enough in chymistry to reforme the whole art, comes to make good his confident undertaking, to give us an occular demonstration of the immediate presence of the four elements in the resolution of green wood, he is fain to say things that agree very little with one another. for about the beginning of that passage of his lately recited to you, he makes the sweat as he calls it of the green wood to be water, the smoke aire, the shining matter fire, and the ashes earth; whereas a few lines after, he will in each of these, nay (as i just now noted) in one distinct part of the ashes, shew the four elements. so that either the former _analysis_ must be incompetent to prove that number of elements, since by it the burnt concrete is not reduc'd into elementary bodies, but into such as are yet each of them compounded of the four elements; or else these qualities from which he endeavours to deduce the presence of all the elements, in the fixt salt, and each of the other separated substances, will be but a precarious way of probation: especially if you consider, that the extracted _alcali_ of wood, being for ought appears at least as similar a body as any that the peripateticks can shew us, if its differing qualities must argue the presence of distinct elements, it will scarce be possible for them by any way they know of employing the fire upon a body, to shew that any body is a portion of a true element: and this recals to my mind, that i am now but in an occasional excussion, which aiming only to shew that the peripateticks as well as the chymists take in our present controversie something for granted which they ought to prove, i shall returne to my exceptions, where i ended the first of them, and further tell you, that neither is that the only precarious thing that i take notice of in _sennertus_ his argumentation; for when he inferrs, that because the qualities he mentions as colours, smels, and the like, belong not to the elements; they therefore must to the chymical principles, he takes that for granted, which will not in haste be prov'd; as i might here manifest, but that i may by and by have a fitter opportunity to take notice of it. and thus much at present may suffice to have discours'd against the supposition, that almost every quality must have some [greek: dektikon prôton], as they speak, some native receptacle, wherein as in its proper subject of inhesion it peculiarly resides, and on whose account that quality belongs to the other bodies, wherein it is to be met with. now this fundamental supposition being once destroy'd, whatsoever is built upon it, must fall to ruine of it self. but i consider further, that chymists are (for ought i have found) far from being able to explicate by any of the _tria prima_, those qualities which they pretend to belong primarily unto it, and in mixt bodies to deduce from it. tis true indeed, that such qualities are not explicable by the four elements; but it will not therefore follow, that they are so by the three hermetical principles; and this is it that seems to have deceiv'd the chymists, and is indeed a very common mistake amongst most disputants, who argue as if there could be but two opinions concerning the difficulty about which they contend; and consequently they inferr, that if their adversaries opinion be erroneous, their's must needs be the truth; whereas many questions, and especially in matters physiological, may admit of so many differing _hypotheses_, that 'twill be very inconsiderate and fallacious to conclude (except where the opinions are precisely contradictory) the truth of one from the falsity of another. and in our particular case 'tis no way necessary, that the properties of mixt bodies must be explicable either by the hermetical, or the _aristotelian hypothesis_, there being divers other and more plausible wayes of explaining them, and especially that, which deduces qualities from the motion, figure, and contrivance of the small parts of bodies; as i think might be shewn, if the attempt were as seasonable, as i fear it would be tedious. i will allow then, that the chymists do not causelessly accuse the doctrine of the four elements of incompetency to explain the properties of compound bodies. and for this rejection of a vulgar error, they ought not to be deny'd what praise men may deserve for exploding a doctrine whose imperfections are so conspicuous, that men needed but not to shut their eyes, to discover them. but i am mistaken, if our hermetical philosophers themselves need not, as well as the peripateticks, have recourse to more fruitfull and comprehensive principles then the _tria prima_, to make out the properties of the bodies they converse with. not to accumulate examples to this purpose, (because i hope for a fitter opportunity to prosecute this subject) let us at present only point at colour, that you may guess by what they say of so obvious and familiar a quality, how little instruction we are to expect from the _tria prima_ in those more abstruse ones, which they with the _aristotelians_ stile occult. for about colours, neither do they at all agree among themselves, nor have i met with any one, of which of the three perswasions soever, that does intelligibly explicate them. the vulgar chymists are wont to ascribe colours to mercury; _paracelsus_ in divers places attributes them to salt; and _sennertus_,[ ] having recited their differing opinions, dissents from both, and referrs colours rather unto sulphur. but how colours do, nay, how they may, arise from either of these principles, i think you will scarce say that any has yet intelligibly explicated. and if mr. _boyle_ will allow me to shew you the experiments which he has collected about colours, you will, i doubt not, confess that bodies exhibite colours, not upon the account of the predominancy of this or that principle in them, but upon that of their texture, and especially the disposition of their superficial parts, whereby the light rebounding thence to the eye is so modifi'd, as by differing impressions variously to affect the organs of sight. i might here take notice of the pleasing variety of colours exhibited by the triangular glass, (as 'tis wont to be call'd) and demand, what addition or decrement of either salt, sulphur, or mercury, befalls the body of the glass by being prismatically figur'd; and yet 'tis known, that without that shape it would not affor'd those colours as it does. but because it may be objected, that these are not real, but apparent colours; that i may not lose time in examing the distinction, i will alledge against the chymists, a couple of examples of real and permanent colours drawn from metalline bodies, and represent, that without the addition of any extraneous body, quicksilver may by the fire alone, and that in glass vessels, be depriv'd of its silver-like colour, and be turn'd into a red body; and from this red body without addition likewise may be obtain'd a mercury bright and specular as it was before; so that i have here a lasting colour generated and destroy'd (as i have seen) at pleasure, without adding or taking away either mercury, salt, or sulphur; and if you take a clean and slender piece of harden'd steel, and apply to it the flame of a candle at some little distance short of the point, you shall not have held the steel long in the flame, but you shall perceive divers colours, as yellow, red and blew, to appear upon the surface of the metal, and as it were run along in chase of one another towards the point; so that the same body, and that in one and the same part, may not only have a new colour produc'd in it, but exhibite successively divers colours within a minute of an hour, or thereabouts, and any of these colours may by removing the steel from the fire, become permanent, and last many years. and this production and variety of colours cannot reasonably be suppos'd to proceed from the accession of any of the three principles, to which of them soever chymists will be pleas'd to ascribe colours; especially considering, that if you but suddenly refrigerate that iron, first made red hot, it will be harden'd and colourless again; and not only by the flame of a candle, but by any other equivalent heat conveniently appli'd, the like colours will again be made to appear and succeed one another, as at the first. but i must not any further prosecute an occasional discourse, though that were not so difficult for me to do, as i fear it would be for the chymists to give a better account of the other qualities, by their principles, then they have done of colours. and your _sennertus_ himself (though an author i much value) would i fear have been exceedingly puzl'd to resolve, by the _tria prima_, halfe that catalogue of problems, which he challenges the vulgar peripateticks to explicate by their four elements.[ ] and supposing it were true, that salt or sulphur were the principle to which this or that quality may be peculiarly referr'd, yet though he that teaches us this teaches us something concerning that quality, yet he teaches us but something. for indeed he does not teach us that which can in any tollerable measure satisfie an inquisitive searcher after truth. for what is it to me to know, that such a quality resides in such a principle or element, whilst i remain altogether ignorant of the cause of that quality, and the manner of its production and operation? how little do i know more then any ordinary man of gravity, if i know but that the heaviness of mixt bodies proceeds from that of the earth they are compos'd of, if i know not the reason why the earth is heavy? and how little does the chymist teach the philosopher of the nature of purgatition, if he only tells him that the purgative vertue of medicines resides in their salt? for, besides that this must not be conceded without limitation, since the purging parts of many vegetables extracted by the water wherein they are infus'd, are at most but such compounded salts, (i mean mingl'd with oyle, and spirit, and earth, as tartar and divers other subjects of the vegetable kingdom afford;) and since too that quicksilver precipitated either with gold, or without addition, into a powder, is wont to be strongly enough cathartical, though the chymists have not yet prov'd, that either gold or mercury have any salt at all, much less any that is purgative; besides this, i say, how little is it to me, to know that 'tis the salt of the rhubarb (for instance) that purges, if i find that it does not purge as salt; since scarce any elementary salt is in small quantity cathartical. and if i know not how purgation in general is effected in a humane body? in a word, as 'tis one thing to know a mans lodging, and another, to be acquainted with him; so it may be one thing to know the subject wherein a quality principally resides, and another thing to have a right notion and knowledg of the quality its self. now that which i take to be the reason of this chymical deficiency, is the same upon whose account i think the _aristotelian_ and divers other theories incompetent to explicate the origen [errata: origine] of qualities. for i am apt to think, that men will never be able to explain the _phænomena_ of nature, while they endeavour to deduce them only from the presence and proportion of such or such material ingredients, and consider such ingredients or elements as bodies in a state of rest; whereas indeed the greatest part of the affections of matter, and consequently of the _phænomena_ of nature, seems to depend upon the motion and the continuance [errata: contrivance] of the small parts of bodies. for 'tis by motion that one part of matter acts upon another; and 'tis, for the most part, the texture of the body upon which the moving parts strike, that modifies to motion or impression, and concurrs with it to the production of those effects which make up the chief part of the naturalists theme. [footnote : _de cons. & dissen. cap. . pag. ._] [footnote : _sennert. de con. seus. [transcriber's note: consens.] & dissens. pag. . ._] but (sayes _eleutherius_) me thinks for all this, you have left some part of what i alledg'd in behalf of the three principles, unanswer'd. for all that you have said will not keep this from being a useful discovery, that since in the salt of one concrete, in the sulphur of another and the mercury of a third, the medicinal vertue of it resides, that principle ought to be separated from the rest, and there the desired faculty must be sought for. i never denyed (replyes _carneades_) that the notion of the _tria prima_ may be of some use, but (continues he laughing) by what you now alledg for it, it will but appear that it is useful to apothecaries, rather than to philosophers, the being able to make things operative being sufficient to those, whereas the knowledge of causes is the thing looked after by these. and let me tell you, _eleutherius_, even this it self will need to be entertained with some caution. for first, it will not presently follow, that if the purgative or other vertue of a simple may be easily extracted by water or spirit of wine, it resides in the salt or sulphur of the concrete; since unlesse the body have before been resolved by the fire, or some other powerful agent, it will, for the most part, afford in the liquors i have named, rather the finer compounded parts of it self, than the elementary ones. as i noted before, that water will dissolve not only pure salts, but crystals of tartar, gumme arabick, myrr'h, and other compound bodies. as also spirit of wine will dissolve not only the pure sulphur of concretes, but likewise the whole substance of divers resinous bodies, as benzoin, the gummous parts of jallap, gumme lacca, and other bodies that are counted perfectly mixt. and we see that the extracts made either with water or spirit of wine are not of a simple and elementary nature, but masses consisting of the looser corpuscles, and finer parts of the concretes whence they are drawn; since by distillation they may be divided into more elementary substances. next, we may consider that even when there intervenes a chymical resolution by he [transcriber's note: the] fire, 'tis seldom in the saline or sulphureous principle, as such, that the desir'd faculty of the concrete resides; but, as that titular salt or sulphur is yet a mixt body, though the saline or sulphureous nature be predominant in it. for, if in chymical resolutions the separated substances were pure and simple bodies, and of a perfect elementary nature; no one would be indued with more specifick vertues, than another; and their qualities would differ as little as do those of water. and let me add this upon the bye, that even eminent chymists have suffer'd themselves to be reprehended by me for their over great diligence in purifying some of the things they obtain by fire from mixt bodies. for though such compleatly purifyed ingredients of bodies might perhaps be more satisfactory to our understanding; yet others are often more useful to our lives, the efficacy of such chymical productions depending most upon what they retain of the bodies whence they are separated, or gain by the new associations of the dissipated among themselves; whereas if they were meerly elementary, their uses would be comparatively very small; and the vertues of sulphurs, salts, or other such substances of one denomination, would be the very same. and by the way (_eleutherius_) i am inclin'd upon this ground to think, that the artificial resolution of compound bodies by fire does not so much enrich mankind, as it divides them into their supposed principles; as upon the score of its making new compounds by now [transcriber's note: new] combinations of the dissipated parts of the resolv'd body. for by this means the number of mixt bodies is considerably increased. and many of those new productions are indow'd with useful qualities, divers of which they owe not to the body from which they were obtein'd, but to their newly acquired texture. but thirdly, that which is principally to be noted is this, that as there are divers concretes whose faculties reside in some one or other of those differing substances that chymists call their sulphurs, salts, and mercuries, and consequently may be best obtain'd, by analyzing the concrete whereby the desired principles may be had sever'd or freed from the rest; so there are other wherein the noblest properties lodge not in the salt, or sulphur, or mercury, but depend immediately upon the form (or if you will) result from the determinate structure of the whole concrete; and consequently they that go about to extract the vertues of such bodies, by exposing them to the violence of the fire, do exceedingly mistake, and take the way to destroy what they would obtain. i remmember that _helmont_ himself somewhere confesses, that as the fire betters some things and improves their vertues, so it spoyles others and makes them degenerate. and elsewhere he judiciously affirmes, that there may be sometimes greater vertue in a simple, such as nature has made it, than in any thing that can by the fire be separated from it. and lest you should doubt whether he means by the vertues of things those that are medical; he has in one place[ ] this ingenuous confession; _credo_ (sayes he) _simplicia in sua simplicitate esse sufficientia pro sanatione omnium morborum._ nag. [errata: nay,] barthias, even in a comment upon _beguinus_,[ ] scruples not to make this acknowledgment; _valde absurdum est_ (sayes he) _ex omnibus rebus extracta facere, salia, quintas essentias; præsertim ex substantiis per se plane vel subtilibus vel homogeneis, quales sunt uniones, corallia, moscus, ambra, &c._ consonantly whereunto he also tells us (and vouches the famous _platerus_, for having candidly given the same advertisement to his auditors,) that some things have greater vertues, and better suited to our humane nature, when unprepar'd, than when they have past the chymists fire; as we see, sayes my author, in pepper; of which some grains swallowed perform more towards the relief of a distempered stomack, than a great quantity of the oyle of the same spice. [footnote : helmont pharm. & dispens. nov. p. .] [footnote : vide jer. ad begu. lib. . cap. .] it has been (pursues _carneades_) by our friend here present observ'd concerning salt-petre, that none of the substances into which the fire is wont to divide it, retaines either the tast, the cooling vertue, or some other of the properties of the concrete; and that each of those substances acquires new qualities, not to be found in the salt-petre it self. the shining property of the tayls of gloworms does survive but so short a time the little animal made conspicuous by it, that inquisitive men have not scrupled publickly to deride _baptista porta_ and others; who deluded perhaps with some chymical surmises have ventur'd to prescribe the distillation of a water from the tayles of glowormes, as a sure way to obtain a liquor shining in the dark. to which i shall now add no other example than that afforded us by amber; which, whilst it remains an intire body, is endow'd with an electrical faculty of drawing to it self fethers, strawes, and such like bodies; which i never could observe either in its salt, its spirit, its oyle, or in the body i remember i once made by the reunion of its divided elements; none of these having such a texture as the intire concrete. and however chymists boldly deduce such and such properties from this or that proportion of their component principles; yet in concretes that abound with this or that ingredient, 'tis not alwayes so much by vertue of its presence, nor its plenty, that the concrete is qualify'd to perform such and such effects; as upon the account of the particular texture of that and the other ingredients, associated after a determinate manner into one concrete (though possibly such a proportion of that ingredient may be more convenient than an other for the constituting of such a body.) thus in a clock the hand is mov'd upon the dyal, the bell is struck, and the other actions belonging to the engine are perform'd, not because the wheeles are of brass or iron, or part of one metal and part of another, or because the weights are of lead, but by vertue of the size, shape, bigness, and co-aptation of the several parts; which would performe the same things though the wheels were of silver, or lead, or wood, and the weights of stone or clay; provided the fabrick or contrivance of the engine were the same: though it be not to be deny'd, that brasse and steel are more convenient materials to make clock-wheels of than lead, or wood. and to let you see, _eleutherius_, that 'tis sometimes at least, upon the texture of the small parts of a body, and not alwaies upon the presence, or recesse, or increase, or decrement of any one of its principle, that it may lose some such qualities, and acquire some such others as are thought very strongly inherent to the bodies they reside in. [errata: in;] i will add to what may from my past discourse be refer'd to this purpose, this notable example, from my own experience; that lead may without any additament, and only by various applications of the fire, lose its colour, and acquire sometimes a gray, sometimes a yellowish, sometimes a red, sometimes an _amethihstine_ [transcriber's note: amethistine] colour; and after having past through these, and perhaps divers others, again recover its leaden colour, and be made a bright body. that also this lead, which is so flexible a metal, may be made as brittle as glasse, and presently be brought to be again flexible and malleable as before. and besides, that the same lead, which i find by _microscopes_ to be one of the most opacous bodies in the world, may be reduced to a fine transparent glasse; whence yet it may returne to an opacous nature again; and all this, as i said, without the addition of any extraneous body, and meerly by the manner and method of exposing it to the fire. but (sayes _carneades_) after having already put you to so prolix a trouble, it is time for me to relieve you with a promise of putting speedily a period to it; and to make good that promise, i shall from all that i have hitherto discoursed with you, deduce but this one proposition by way of corollary. [_that it may as yet be doubted, whether or no there be any determinate number of elements; or, if you please, whether or no all compound bodies, do consist of the same number of elementary ingredients or material principles._] this being but an inference from the foregoing discourse, it will not be requisite to insist at large on the proofs of it; but only to point at the chief of them, and referr you for particulars to what has been already delivered. in the first place then, from what has been so largely discours'd, it may appear, that the experiments wont to be brought, whether by the common peripateticks, or by the vulgar chymists, to demonstrate that all mixt bodies are made up precisely either of the four elements, or the three hypostatical principles, do not evince what they are alledg'd to prove. and as for the other common arguments, pretended to be drawn from reason in favour of _aristotelian hypothesis_ (for the chymists are wont to rely almost altogether upon experiments) they are commonly grounded upon such unreasonable or precarious suppositions, that 'tis altogether as easie and as just for any man to reject them, as for those that take them for granted to assert them, being indeed all of them as indemonstrable as the conclusion to be inferr'd from them; and some of them so manifestly weak and prooflesse; that he must be a very courteous adversary, that can be willing to grant them; and as unskilful a one, that can be compelled to do so. in the next place, it may be considered, if what those patriarchs of the _spagyrists_, _paracelsus_ and _helmont_, do on divers occasions positively deliver, be true; namely that the _alkahest_ does resolve all mixt bodies into other principles than the fire, it must be decided which of the two resolutions (that made by the _alkahest_, or that made by the fire) shall determine the number of the elements, before we can be certain how many there are. and in the mean time, we may take notice in the last place, that as the distinct substances whereinto the _alkahest_ divides bodies, are affirm'd to be differing in nature from those whereunto they are wont to be reduc'd by fire, and to be obtain'd from some bodies more in number than from some others; since he tells us, he could totally reduce all sorts of stones into salt only, whereas of a coal he had two distinct liquors.[ ] so, although we should acquiesce in that resolution which is made by fire, we find not that all mixt bodies are thereby divided into the same number of elements and principles; some concretes affordding more of them than others do; nay and sometimes this or that body affording a greater number of differing substances by one way of management, than the same yields by another. and they that out of gold, or mercury, or muscovy-glasse, will draw me as many distinct substances as i can separate from vitriol, or from the juice of grapes variously orderd, may teach me that which i shall very thankfully learn. nor does it appear more congruous to that variety that so much conduceth to the perfection of the universe, that all elemented bodies be compounded of the same number of elements, then it would be for a language, that all its words should consist of the same number of letters. [footnote : _novi saxum & lapides omnes in merum salem suo saxo aut lapidi & æquiponderantem reducere absque omni prorsus sulphure aut mercurio._ helmont. pag. .] the sceptical chymist or, _a paradoxical appendix to the foregoing treatise._ _the sixth part._ here _carneades_ having dispach't what he thought requisite to oppose against what the chymists are wont to alledge for proof of their three principles, paus'd awhile, and look'd about him, to discover whether it were time for him and his friend to rejoyne the rest of the company. but _eleutherius_ perceiving nothing yet to forbid them to prosecute their discourse a little further, said to his friend, (who had likewise taken notice of the same thing) i halfe expected, _carneades_, that after you had so freely declar'd your doubting, whether there be any determinate number of elements, you would have proceeded to question whether there be any elements at all. and i confess it will be a trouble to me if you defeat me of my expectation; especially since you see the leasure we have allow'd us may probably suffice to examine that paradox; because you have so largly deduc'd already many things pertinent to it, that you need but intimate how you would have them apply'd, and what you would inferr from them. _carneades_ having in vain represented that their leasure could be but very short, that he had already prated very long, that he was unprepared to maintain so great and so invidious a paradox, was at length prevail'd with to tell his friend; since, _eleutherius_, you will have me discourse _ex tempore_ of the paradox you mention, i am content, (though more perhaps to express my obedience, then my opinion) to tell you that (supposing the truth of _helmonts_ and _paracelsus's_ alkahestical experiments, if i may so call them) though it may seem extravagant, yet it is not absurd to doubt, whether, for ought has been prov'd, there be a necessity to admit any elements, or hypostatical principles, at all. and, as formerly, so now, to avoid the needless trouble of disputing severally with the _aristotelians_ and the chymists, i will address my self to oppose them i have last nam'd, because their doctrine about the elements is more applauded by the moderns, as pretending highly to be grounded upon experience. and, to deal not only fairly but favourably with them, i will allow them to take in earth and water to their other principles. which i consent to, the rather that my discourse may the better reach the tenents of the peripateticks; who cannot plead for any so probably as for those two elements; that of fire above the air being generally by judicious men exploded as an imaginary thing; and the air not concurring to compose mixt bodies as one of their elements, but only lodging in their pores, or rather replenishing, by reason of its weight and fluidity, all those cavities of bodies here below, whether compounded or not, that are big enough to admit it, and are not fill'd up with any grosser substance. and, to prevent mistakes, i must advertize you, that i now mean by elements, as those chymists that speak plainest do by their principles, certain primitive and simple, or perfectly unmingled bodies; which not being made of any other bodies, or of one another, are the ingredients of which all those call'd perfectly mixt bodies are immediately compounded, and into which they are ultimately resolved: now whether there be any one such body to be constantly met with in all, and each, of those that are said to be elemented bodies, is the thing i now question. by this state of the controversie you will, i suppose, guess, that i need not be so absur'd [errata: absurd] as to deny that there are such bodies as earth, and water, and quicksilver, and sulphur: but i look upon earth and water, as component parts of the universe, or rather of the terrestrial globe, not of all mixt bodies. and though i will not peremptorily deny that there may sometimes either a running mercury, or a combustible substance be obtain'd from a mineral, or even a metal; yet i need not concede either of them to be an element in the sence above declar'd; as i shall have occasion to shew you by and by. to give you then a brief account of the grounds i intend to proceed upon, i must tell you, that in matters of philosophy, this seems to me a sufficient reason to doubt of a known and important proposition, that the truth of it is not yet by any competent proof made to appear. and congruously herunto, if i shew that the grounds upon which men are perswaded that there are elements are unable to satisfie a considering man, i suppose my doubts will appear rational. now the considerations that induce men to think that there are elements, may be conveniently enough referr'd to two heads. namely, the one, that it is necessary that nature make use of elements to constitute the bodies that are reputed mixt. and the other, that the resolution of such bodies manifests that nature had compounded them of elementary ones. in reference to the former of these considerations, there are two or three things that i have to represent. and i will begin with reminding you of the experiments i not long since related to you concerning the growth of pompions, mint, and other vegetables, out of fair water. for by those experiments its seems evident, that water may be transmuted into all the other elements; from whence it may be inferr'd, both, that 'tis not every thing chymists will call salt, sulphur, or spirit, that needs alwayes be a primordiate and ingenerable body. and that nature may contex a plant (though that be a perfectly mixt concrete) without having all the elements previously presented to her to compound it of. and, if you will allow the relation i mention'd out of _mounsieur de rochas_ to be true; then may not only plants, but animals and minerals too, be produced out of water, and however there is little doubt to be made, but that the plants my tryals afforded me as they were like in so many other respects to the rest of the plants of the same denomination; so they would, in case i had reduc'd them to putrefaction, have likewise produc'd wormes or other insects, as well as the resembling vegetables are wont to do; so that water may, by various seminal principles, be successively transmuted into both plants and animals. and if we consider that not only men, but even sucking children are, but too often, tormented with solid stones, but that divers sorts of beasts themselves, (whatever _helmont_ against experience think to the contrary) may be troubled with great and heavy stones in their kidneys and bladders, though they feed but upon grass and other vegetables, that are perhaps but disguised water, it will not seem improbable that even some concretes of a mineral nature, may likewise be form'd of water. we may further take notice, that as a plant may be nourisht, and consequently may consist of common water; so may both plants and animals, (perhaps even from their seminal rudiments) consist of compound bodies, without having any thing meerly elementary brought them by nature to be compounded by them: this is evident in divers men, who whilst they were infants were fed only with milk, afterwards live altogether upon flesh, fish, wine, and other perfectly mixt bodies. it may be seen also in sheep, who on some of our english downs or plains, grow very fat by feeding upon the grasse, without scarce drinking at all. and yet more manifestly in the magots that breed and grow up to their full bignesse within the pulps of apples, pears, or the like fruit. we see also, that dungs that abound with a mixt salt give a much more speedy increment to corn and other vegetables than water alone would do: and it hath been assur'd me, by a man experienc'd in such matters, that sometimes when to bring up roots very early, the mould they were planted in was made over-rich, the very substance of the plant has tasted of the dung. and let us also consider a graft of one kind of fruit upon the upper bough of a tree of another kind. as for instance, the ciens of a pear upon a white-thorne; for there the ascending liquor is already alter'd, either by the root, or in its ascent by the bark, or both wayes, and becomes a new mixt body: as may appear by the differing qualities to be met with in the saps of several trees; as particularly, the medicinal vertue of the birch-water (which i have sometimes drunk upon _helmonts_ great and not undeserved commendation) now the graft, being fasten'd to the stock must necessarily nourish its self, and produce its fruit, only out of this compound juice prepared for it by the stock, being unable to come at any other aliment. and if we consider, how much of the vegetable he feeds upon may (as we noted above) remain in an animal; we may easily suppose, that the blood of that animal who feeds upon this, though it be a well constituted liquor, and have all the differing corpuscles that make it up kept in order by one præsiding form, may be a strangely decompounded body, many of its parts being themselves decompounded. so little is it necessary that even in the mixtures which nature her self makes in animal and vegetable bodies, she should have pure elements at hand to make her compositions of. having said thus much touching the constitution of plants and animals, i might perhaps be able to say as much touching that of minerals, and even metalls, if it were as easy for us to make experiment in order to the production of these, as of those. but the growth or increment of minerals being usually a work of excessively long time, and for the most part perform'd in the bowels of the earth, where we cannot see it, i must instead of experiments make use, on this occasion, of observations. that stones were not all made at once, but that are some of them now adayes generated, may (though it be deny'd by some) be fully prov'd by several examples, of which i shall now scarce alledg any other, then that famous place in _france_ known by the name of _les caves gentieres_ [errata: goutieres], where the water falling from the upper parts of the cave to the ground does presently there condense into little stones, of such figures as the drops, falling either severally or upon one another, and coagulating presently into stone, chance to exhibit. of these stones some ingenuous friends of ours, that went a while since to visit that place, did me the favour to present me with some that they brought thence. and i remember that both that sober relator of his voyages, _van linschoten_, and another good author, inform us that in the diamond mines (as they call them) in the _east-indies_, when having dig'd the earth, though to no great depth, they find diamonds and take them quite away; yet in a very few years they find in the same place new diamonds produc'd there since. from both which relations, especially the first, it seems probable that nature does not alwayes stay for divers elementary bodies, when she is to produce stones. and as for metals themselves, authors of good note assure us, that even they were not in the beginning produc'd at once altogether, but have been observ'd to grow; so that what was not a mineral or metal before became one afterwards. of this it were easie to alledg many testimonies of professed chymists. but that they may have the greater authority, i shall rather present you with a few borrowed from more unsuspected writers. _sulphuris mineram_ (as the inquisitive _p. fallopius_ notes) _quæ nutrix est caloris subterranei fabri seu archæi fontium & mineralium, infra terram citissime renasci testantur historiæ metallicæ. sunt enim loca e quibus si hoc anno sulphur effossum fuerit; intermissa fossione per quadriennium redeunt fossores & omnia sulphure, ut autea [errata: antea], rursus inveniunt plena._ _pliny_ relates, _in italiæ insula ilva, gigni ferri metallum._ strabo _multo expressius; effossum ibi metallum semper regenerari. nam si effossio spatio centum annorum intermittebatur, & iterum illuc revertebantur, fossores reperisse maximam copiam ferri regeneratam._ which history not only is countenanced by _fallopius_, from the incom which the iron of that island yielded the duke of _florence_ in his time; but is mention'd more expressely to our purpose, by the learned _cesalpinus_. _vena_ (sayes he) _ferri copiosissima est in italia; ob eam nobilitata ilva tirrheni maris insula incredibili copia, etiam nostris temporibus eam gignens: nam terra quæ eruitur dum vena effoditur tota, procedente tempore in venam convertitur._ which last clause is therefore very notable, because from thence we may deduce, that earth, by a metalline plastick principle latent in it, may be in processe of time chang'd into a metal. and even _agricola_ himself, though the chymists complain of him as their adversary, acknowledges thus much and more; by telling us that at a town called _saga_ in _germany_,[ ] they dig up iron in the fields, by sinking ditches two foot deep; and adding, that within the space of ten years the ditches are digged again for iron since produced, as the same metal is wont to be obtain'd in _elva_. also concerning lead, not to mention what even _galen_ notes, that it will increase both in bulk and weight if it be long kept in vaults or sellars, where the air is gross and thick, as he collects from the smelling of those pieces of lead that were imploy'd to fasten together the parts of old statues. not to mention this, i say, _boccacius certaldus_, as i find him quoted by a diligent writer, has this passage touching the growth of lead. _fessularum mons_ (sayes he) _in hetruria, florentiæ civitati imminens, lapides plumbarios habet; qui si excidantur, brevi temporis spatio, novis incrementis instaurantur; ut_ (annexes my author) _tradit boccacius certaldus, qui id compotissimum [errata: compertissimum] esse scribit. nihil hoc novi est; sed de eadem plinius, lib. . hist. natur. cap. . dudum prodidit, inquiens, mirum in his solis plumbi metallis, quod derelicta fertilius reviviscunt. in plumbariis secundo lapide ab amberga dictis ad asylum recrementa congesta in cumulos, exposita solibus pluviisque paucis annis, redunt suum metallum cum fenore._ i might add to these, continues _carneades_, many things that i have met with concerning the generation of gold and silver. but, for fear of wanting time, i shall mention but two or three narratives. the first you may find recorded by _gerhardus_ the physick professor, in these words. _in valle_ (sayes he) _joachimaca [errata: joachimica] argentum gramini [errata: graminis] modo & more e lapidibus mineræ velut e radice excrevisse digiti longitudine, testis est dr. schreterus, qui ejusmodi venas aspectu jucundas & admirabiles domi sua aliis sæpe monstravit & donavit. item aqua cærulea inventa est annebergæ, ubi argentum erat adhuc in primo ente, quæ coagulata redacta est in calcem fixi & boni argenti._ [footnote : _in lygiis, ad sagam opidum; in pratis eruitur ferrum, fossis ad altitudinem bipedaneam actis. id decennio renatum denuo foditur non aliter ac ilvæ ferrum._] the other two relations i have not met with in latine authours, and yet they are both very memorable in themselves, and as pertinent to our present purpose. the first i meet with in the commentary of _johannes valehius_ upon the _kleine baur_, in which that industrious chymist relates, with many circumstances, that at a mine-town (if i may so english the german _bergstat_) eight miles or leagues distant from _strasburg_ call'd _mariakirch_, a workman came to the overseer, and desired employment; but he telling him that there was not any of the best sort at present for him, added that till he could be preferr'd to some such, he might in the mean time, to avoid idleness, work in a grove or mine-pit thereabouts, which at that time was little esteem'd. this workman after some weeks labour, had by a crack appearing in the stone upon a stroak given near the wall, an invitation given him to work his way through, which as soon as he had done, his eyes were saluted by a mighty stone or lump which stood in the middle of the cleft (that had a hollow place behind it) upright, and in shew like an armed-man; but consisted of pure fine silver having no vein or ore by it, or any other additament, but stood there free, having only underfoot something like a burnt matter; and yet this one lump held in weight above a marks, which, according to the dutch, account [errata: dutch account] makes pound weight of fine silver. from which and other circumstances my author gathers; that by the warmth of the place, the noble metalline spirits, (sulphureous and mercurial) were carri'd from the neighbouring galleries or vaults, through other smaller cracks and clefts, into that cavity, and there collected as in a close chamber or cellar; whereinto when they were gotten, they did in process of time settle into the forementioned precious mass of metal. the other germane relation is of that great traveller and laborious chymist _johannes_ (not _georgus_) _agricola_; who in his notes upon what _poppius_ has written of antimony, relates, that when he was among the _hungarian_ mines in the deep groves, he observ'd that there would often arise in them a warm steam (not of that malignant sort which the germains call _shwadt_, which (sayes he) is a meer poyson, and often suffocates the diggers [errata: diggers)], which fasten'd it self to the walls; and that coming again to review it after a couple of dayes, he discern'd that it was all very fast, and glistering; whereupon having collected it and distill'd it _per retortam_, he obtain'd from it a fine spirit, adding, that the mine-men inform'd him, that this steam or damp of the english mine [errata: damp as the englishmen also call it] (retaining the dutch term) would at last have become a metal, as gold or silver. i referr (sayes _carneades_) to another occasion, the use that may be made of these narratives towards the explicating the nature of metalls; and that of fixtness, malleableness, and some other qualities conspicuous in them. and in the mean time, this i may at present deduce from these observations, that 'tis not very probable, that, whensoever a mineral, or even a metall, is to be generated in the bowels of the earth, nature needs to have at hand both salt, and sulphur, and mercury to compound it of; for, not to urge that the two last relations seem less to favour the chymists than _aristotle_, who would have metals generated of certain _halitus_ or steams, the foremention'd observations together, make it seem more likely that the mineral earths or those metalline steams (wherewith probably such earths are plentifully imbu'd) do contain in them some seminal rudiment, or some thing equivalent thereunto; by whose plastick power the rest of the matter, though perhaps terrestrial and heavy, is in tract of time fashion'd into this or that metalline ore; almost as i formerly noted, that fair water was by the seminal principle of mint, pompions, and other vegetables, contriv'd into bodies answerable to such seeds. and that such alterations of terrestrial matter are not impossible, seems evident from that notable practice of the boylers of salt-petre, who unanimously observe, as well here in _england_ as in other countries; that if an earth pregnant with nitre be depriv'd, by the affusion of water, of all its true and dissoluble salt, yet the earth will after some years yield them salt-petre again; for which reason some of the eminent and skillfullest of them keep it in heaps as a perpetual mine of salt petre; whence it may appear, that the seminal principle of nitre latent in the earth does by degrees transforme the neighbouring matter into a nitrous body; for though i deny that some volatile nitre may by such earths be attracted (as they speak) out of the air, yet that the innermost parts of such great heaps that lye so remote from the air should borrow from it all the nitre they abound with, is not probable, for other reasons besides the remoteness of the air, though i have not the leasure to mention them. and i remember, that a person of great credit, and well acquainted with the wayes of making vitriol, affirm'd to me, that he had observ'd, that a kind of mineral which abounds in that salt, being kept within doors and not expos'd (as is usual) to the free air and rains, did of it self in no very long time turn into vitriol, not only in the outward or superficial, but even in the internal and most central parts. and i also remember, that i met with a certain kind of merkasite that lay together in great quantities under ground, which did, even in my chamber, in so few hours begin of it self to turne into vitriol, that we need not distrust the newly recited narrative. but to return to what i was saying of nitre; as nature made this salt-petre out of the once almost and inodorous earth it was bred in, and did not find a very stinking and corrosive acid liquor, and a sharp alcalyzate salt to compound it of, though these be the bodies into which the fire dissolves it; so it were not necessary that nature should make up all metals and other minerals of pre-existent salt, and sulphur, and mercury, though such bodies might by fire be obtained from it. which one consideration duly weigh'd is very considerable in the present controversy: and to this agree well the relations of our two german chymists; for besides that it cannot be convincingly prov'd, it is not so much as likely that so languid and moderate a heat as that within the mines, should carry up to so great a heat [errata: height], though in the forme of fumes, salt, sulphur and mercury; since we find in our distillations, that it requires a considerable degree of fire to raise so much as to the height of one foot not only salt, but even mercury it self, in close vessels. and if it be objected, that it seems by the stink that is sometimes observ'd when lightening falls down here below, that sulphureous steams may ascend very high without any extraordinary degree of heat; it may be answer'd, among other things, that the sulphur of silver is by chymists said to be a fixt sulphur, though not altogether so well digested as that of gold. but, proceeds _carneades_, if it had not been to afford you some hints concerning the origine of metals, i need not have deduc'd any thing from these observations; it not being necessary to the validity of my argument that my deductions from them should be irrefragable, because my adversaries the _aristotelians_ and vulgar chymists do not, i presume, know any better then i, _a priori_, of what ingredients nature compounds metals and minerals. for their argument to prove that those bodies are made up of such principles, is drawn _a posteriori_; i mean from this, that upon the _analysis_ of mineral bodies they are resolv'd into those differing substances. that we may therefore examine this argument, let us proceed to consider what can be alledg'd in behalf of the elements from the resolutions of bodies by the fire; which you remember was the second tophick [transcriber's note: topick] whence i told you the arguments of my adversaries were desum'd. and that i may first dispatch what i have to say concerning minerals, i will begin the remaining part of my discourse with considering how the fire divides them. and first, i have partly noted above, that though chymists pretend from some to draw salt, from others running mercury, and from others a sulphur; yet they have not hitherto taught us by any way in us [errata: use] among them to separate any one principle, whether salt, sulphur, or mercury, from all sorts of minerals without exception. and thence i may be allow'd to conclude that there is not any of the elements that is an ingredient of all bodies, since there are some of which it is not so. in the next place, supposing that either sulphur or mercury were obtainable from all sorts of minerals. yet still this sulphur or mercury would be but a compounded, not an elementary body, as i told you already on another occasion. and certainly he that takes notice of the wonderful operations of quicksilver, whether it be common, or drawn from mineral bodies, can scarce be so inconsiderate as to think it of the very same nature with that immature and fugitive substance which in vegetables and animals chymists have been pleas'd to call their mercury. so that when mercury is got by the help of the fire out of a metal or other mineral body, if we will not suppose that it was not pre-existent in it, but produc'd by the action of the fire upon the concrete, we may at least suppose this quicksilver to have been a perfect body of its own kind (though perhaps lesse heterogeneous then more secundary mixts) which happen'd to be mingl'd _per minima_, and coagulated with the other substances, whereof the metal or mineral consisted. as may be exemplyfied partly by native vermillion wherein the quicksilver and sulphur being exquisitely blended both with one another, and that other course mineral stuff (what ever it be) that harbours them, make up a red body differing enough from both; and yet from which part of the quicksilver, and of the sulphur, may be easily enough obtain'd; partly by those mines wherein nature has so curiously incorporated silver with lead, that 'tis extreamly difficult, and yet possible, to separate the former out of the latter. [errata: latter;] and partly too by native vitriol, wherein the metalline corpuscles are by skill and industry separable from the saline ones, though they be so con-coagulated with them, that the whole concrete is reckon'd among salts. and here i further observe, that i never could see any earth or water, properly so call'd, separated from either gold or silver (to name now no other metalline bodies) and therefore to retort the argument upon my adversaries, i may conclude, that since there are some bodies in which, for ought appears, there is neither earth nor water. [errata: water;] i may be allow'd to conclude that neither of those two is an universal ingredient of all those bodies that are counted perfectly mixt, which i desire you would remember against anon. it may indeed be objected, that the reason why from gold or silver we cannot separate any moisture, is, because that when it is melted out of the oare, the vehement fire requisite to its fusion forc'd away all the aqueous and fugitive moisture; and the like fire may do from the materials of glass. to which i shall answer, that i remember i read not long since in the learned _josephus acosta_,[ ] who relates it upon his own observation; that in _america_, (where he long lived) there is a kind of silver which the _indians_ call _papas_, and sometimes (sayes he) they find pieces very fine and pure like to small round roots, the which is rare in that metal, but usuall in gold; concerning which metal he tells us, that besides this they find some which they call gold in grains, which he tells us are small morsels of gold that they find whole without mixture of any other metal, which hath no need of melting or refining in the fire. [footnote : _acosta_ natural and moral history of the indies, l. . c. , p. .] i remember that a very skilful and credible person affirmed to me, that being in the _hungarian_ mines he had the good fortune to see a mineral that was there digg'd up, wherein pieces of gold of the length, and also almost of the bigness of a humane finger, grew in the oar, as if they had been parts and branches of trees. and i have my self seen a lump of whitish mineral, that was brought as a rarity to a great and knowing prince, wherein there grew here and there in the stone, which looked like a kind of sparr, divers little lumps of fine gold, (for such i was assured that tryal had manifested it to be) some of them seeming to be about the bigness of pease. but that is nothing to what our _acosta_ subjoynes, which is indeed very memorable, namely, that of the morsels of native and pure gold, which we lately heard him mentioning he had now and then seen some that weighed many pounds;[ ] to which i shall add, that i my self have seen a lump of oar not long since digged up, in whose stony part there grew, almost like trees, divers parcels though not of gold, yet of (what perhaps mineralists will more wonder at) another metal which seemed to be very pure or unmixt with any heterogeneous substances, and were some of them as big as my finger, if not bigger. but upon observations of this kind, though perhaps i could, yet i must not at present dwell any longer. [footnote : see _acosta_ in the fore-cited place, and the passage of _pliny_ quoted by him.] to proceed therefore now (sayes _carneades_) to the consideration of the _analysis_ of vegetables, although my tryals give me no cause to doubt but that out of most of them five differing substances may be obtain'd by the fire, yet i think it will not be so easily demonstrated that these deserve to be call'd elements in the notion above explain'd. and before i descend to particulars, i shall repeat and premise this general consideration, that these differing substances that are call'd elements or principles, differ not from each other as metals, plants and animals, or as such creatures as are immediately produc'd each by its peculiar seed, and constitutes a distinct propagable sort of creatures in the universe; but these are only various schemes of matter or substances that differ from each other, but in consistence (as running mercury and the same metal congeal'd by the vapor of lead) and some very few other accidents, as tast, or smel, or inflamability, or the want of them. so that by a change of texture not impossible to be wrought by the fire and other agents that have the faculty not only to dissociate the smal parts of bodies, but afterwards to connect them after a new manner, the same parcell of matter may acquire or lose such accidents as may suffice to denominate it salt, or sulphur, or earth. if i were fully to clear to you my apprehensions concerning this matter, i should perhaps be obliged to acquaint you with divers of the conjectures (for i must yet call them no more) i have had concerning the principles of things purely corporeal: for though because i seem not satisfi'd with the vulgar doctrines, either of the peripatetick or paracelsian schools, many of those that know me, (and perhaps, among them, _eleutherius_ himself) have thought me wedded to the epicurean _hypotheses_, (as others have mistaken me for an _helmontian_;) yet if you knew how little conversant i have been with _epicurean_ authors, and how great a part of _lucretius_ himself i never yet had the curiosity to read, you would perchance be of another mind; especially if i were to entertain you at large, i say not, of my present notions; but of my former thoughts concerning the principles of things. but, as i said above, fully to clear my apprehensions would require a longer discourse than we can now have. for, i should tell you that i have sometimes thought it not unfit, that to the principles which may be assign'd to things, as the world is now constituted, we should, if we consider the great mass of matter as it was whilst the universe was in making, add another, which may conveniently enough be call'd an architectonick principle or power; by which i mean those various determinations, and that skilfull guidance of the motions of the small parts of the universal matter by the most wise author of things, which were necessary at the beginning to turn that confus'd _chaos_ into this orderly and beautifull world; and especially, to contrive the bodies of animals and plants, and the seeds of those things whose kinds were to be propagated. for i confess i cannot well conceive, how from matter, barely put into motion, and then left to it self, there could emerge such curious fabricks as the bodies of men and perfect animals, and such yet more admirably contriv'd parcels of matter, as the seeds of living creatures. i should likewise tell you upon what grounds, and in what sence, i suspected the principles of the world, as it now is, to be three, _matter_, _motion_ and _rest_. i say, _as the world now is_, because the present fabrick of the universe, and especially the seeds of things, together with the establisht course of nature, is a requisite or condition, upon whose account divers things may be made out by our three principles, which otherwise would be very hard, if possible, to explicate. i should moreover declare in general (for i pretend not to be able to do it otherwise) not only why i conceive that colours, odors, tasts, fluidness and solidity, and those other qualities that diversifie and denominate bodies may intelligibly be deduced from these three; _but how two of the three_ epicurean principles (which, i need not tell, you [transcriber's note: tell you,] are magnitude, figure and weight) are themselves deducible from matter and motion; since the latter of these variously agitating, and, as it were, distracting the former, must needs disjoyne its parts; which being actually separated must each of them necessarily both be of some size, and obtain some shape or other. nor did i add to our principles the _aristotelean privation_, partly for other reasons, which i must not now stay to insist on; and partly because it seems to be rather an antecedent, or a _terminus a quo_, then a true principle, as the starting-post is none of the horses legs or limbs. i should also explain why and how i made rest [errata: rest] to be, though not so considerable a principle of things, as motion, yet a principle of them; partly because it is (for ought we know [errata: know)] as ancient at least as it, and depends not upon motion, nor any other quality of matter; and partly, because it may enable the body in which it happens to be, both to continue in a state of rest till some external force put it out of that state, and to concur to the production of divers changes in the bodies that hit against it, by either quite stopping or lessning their motion (whilst the body formerly at rest receives all or part of it into it self) or else by giving a new byass, or some other modification, to motion, that is, to the grand and primary instrument whereby nature produces all the changes and other qualities that are to be met with in the world. i should likewise, after all this, explain to you how, although matter, motion and rest, seem'd to me to be the catholick principles of the universe, i thought the principles of particular bodies might be commodiously enough reduc'd to two, namely _matter_, and (what comprehends the two other, and their effects) the result or aggregate [errata: aggregate or complex] of those accidents, which are the motion or rest, (for in some bodies both are not to be found) the bigness, figure, texture) [errata: delete )] and the thence resulting qualities of the small parts) [errata: delete )] which are necessary to intitle the body whereto they belong to this or that peculiar denomination; and discriminating it from others to appropriate it to a determinate kind of things, as [errata: (as] yellowness, fixtness, such a degree of weight, and of ductility, do make the portion of matter wherein they concur, to be reckon'd among perfect metals, and obtain the name of gold.) which [errata: this] aggregate or result of accidents you may, if you please, call either _structure_ or texture. [errata: no paragraph break] though [errata: (though] indeed, that do not so properly comprehend the motion of the constituent parts especially in case some of them be fluid [errata: fluid)], or what other appellation shall appear most expressive. or if, retaining the vulgar terme, you will call it the _forme_ of the thing it denominates, i shall not much oppose it; provided the word be interpreted to mean but what i have express'd, and not a scholastick _substantial forme_, which so many intelligent men profess to be to them altogether un-intelligible. but, sayes _carneades_, if you remember that 'tis a sceptick speaks to you, and that 'tis not so much my present talk to make assertions as to suggest doubts, i hope you will look upon what i have propos'd, rather as a narrative of my former conjectures touching the principles of things, then as a resolute declaration of my present opinions of them; especially since although they cannot but appear very much to their disadvantage, if you consider them as they are propos'd without those reasons and explanations by which i could perhaps make them appear much lesse extravagant; yet i want time to offer you what may be alledg'd to clear and countenance these notions; my design in mentioning them unto you at present being, _partly_, to bring some light and confirmation to divers passages of my discourse to you; _partly_ to shew you, that i do not (as you seem to have suspected) embrace all _epicurus_ his principles; but dissent from him in some main things, as well as from _aristotle_ and the chymists, in others; & _partly_ also, or rather chiefly, to intimate to you the grounds upon which i likewise differ from _helmont_ in this, that whereas he ascribes almost all things, and even diseases themselves, to their determinate seeds; i am of opinion, that besides the peculiar fabricks of the bodies of plants and animals (and perhaps also of some metals and minerals) which i take to be the effects of seminal principles, there are many other bodies in nature which have and deserve distinct and proper names, but yet do but result from such contextures of the matter they are made of, as may without determinate seeds be effected by heat, cold, artificial mixtures and compositions, and divers other causes which sometimes nature imployes of her own accord; and oftentimes man by his power and skill makes use of to fashion the matter according to his intentions. this may be exemplified both in the productions of nature, and in those of art; of the first sort i might name multitudes; but to shew how sleight a variation of textures without addition of new ingredients may procure a parcel of matter divers names, and make it be lookt upon as different things; i shall invite you to observe with me, that clouds, rain, hail, snow, froth, and ice, may be but water, having its parts varyed as to their size and distance in respect of each other, and as to motion and rest. and among artificial productions we may take notice (to skip the crystals of tartar) of glass, regulus, martis-stellatus [errata: regulus martis stellatus], and particularly of the sugar of lead, which though made of that insipid metal and sour salt of vinager, has in it a sweetnesse surpassing that of common sugar, and divers other qualities, which being not to be found in either of its two ingredients, must be confess'd to belong to the concrete it self, upon the account of its texture. this consideration premis'd, it will be, i hope, the more easie to perswade you that the fire may as well produce some new textures in a parcel of matter, as destroy the old. wherefore hoping that you have not forgot the arguments formerly imploy'd against the doctrine of the _tria prima_; namely that the salt, sulphur and mercury, into which the fire seems to resolve vegetable and animal bodies, are yet compounded, not simple and elementary substances; and that (as appeared by the experiment of pompions) the _tria prima_ may be made out of water; hoping i say, that you remember these and the other things that i formerly represented to the same purpose, i shall now add only, that if we doubt not the truth of some of _helmonts_ relation [errata: relations], we may well doubt whether any of these heterogeneities be (i say not pre-existent, so as to convene together, when a plant or animal is to be constituted but) so much as in-existent in the concrete whence they are obtain'd, when the chymists [errata: chymist] first goes about to resolve it; for not to insist upon the un-inflamable spirit of such concretes, because that may be pretended to be but a mixture of phlegme and salt; the oyle or sulphur of vegetables or animals is, according to him, reducible by the help of lixiviate salts into sope; as that sope is by the help of repeated distillations from a _caput mortuum_ of chalk into insipid water. and as for the saline substance that seems separable from mixt bodies; the same _helmonts_ tryals[ ] give us cause to think, that it may be a production of the fire, which by transporting and otherwise altering the particles of the matter, does bring it to a saline nature. [footnote : _omne autem alcali addita pinguedine in aqueum liquorem, qui tandem mera & simplex aqua fit, reducitur, (ut videre est in sapone, lazurio lapide, &c.) quoties per adjuncta fixa semen pinguedinis deponit._ helmont.] for i know (sayes he, in the place formerly alledg'd to another purpose) a way to reduce all stones into a meer salt of equal weight with the stone whence it was produc'd, and that without any of the least either sulphur or mercury; which asseveration of my author would perhaps seem less incredible to you, if i durst acquaint you with all i could say upon that subject. and hence by the way you may also conclude that the sulphur and mercury, as they call them, that chymists are wont to obtain from compound bodies by the fire, may possibly in many cases be the productions of it; since if the same bodies had been wrought upon by the agents employ'd by _helmont_, they would have yielded neither sulphur nor mercury; and those portions of them which the fire would have presented us in the forme of sulphureous and mercurial bodies would have, by _helmonts_ method, been exhibited to us in the form of salt. but though (sayes _eleutherius_) you have alledg'd very plausible arguments against the _tria prima_, yet i see not how it will be possible for you to avoid acknowledging that earth and water are elementary ingredients, though not of mineral concretes, yet of all animal and vegetable bodies; since if any of these of what sort soever be committed to distillation, there is regularly and constantly separated from it a phlegme or aqueous part and a _caput mortuum_ or earth. i readily acknowledged (answers _carneades_) it is not so easy to reject water and earth (and especially the former) as 'tis to reject the _tria prima_, from being the elements of mixt bodies; but 'tis not every difficult thing that is impossible. i consider then, as to water, that the chief qualities which make men give that name to any visible substance, are, that it is fluid or liquid, and that it is insipid and inodorous. now as for the tast of these qualities, i think you have never seen any of those separated substances that the chymists call phlegme which was perfectly devoyd both of tast and smell: and if you object, that yet it may be reasonably suppos'd, that since the whole body is liquid, the mass is nothing but elementary water faintly imbu'd with some of the saline or sulphureous parts of the same concrete, which it retain'd with it upon its separation from the other ingredients. to this i answer, that this objection would not appear so stong [transcriber's note: strong] as it is plausible, if chymists understood the nature of fluidity and compactnesse; and that, as i formerly observ'd, to a bodies being fluid there is nothing necessary, but that it be divided into parts small enough; and that these parts be put into such a motion among themselves as to glide some this way and some that way, along each others surfaces. so that, although a concrete were never so dry, and had not any water or other liquor in-existent in it, yet such a comminution of its parts may be made, by the fire or other agents, as to turn a great portion of them into liquor. of this truth i will give an instance, employ'd by our friend here present as one of the most conducive of his experiments to illustrate the nature of salts. if you take, then, sea salt and melt it in the fire to free it from the aqueous parts, and afterward distill it with a vehement fire from burnt clay, or any other, as dry a _caput mortuum_ as you please, you will, as chymists confess, [errata: confesse (delete comma)] by teaching it drive over a good part of the salt in the form of a liquor. and to satisfy some ingenious men, that a great part of this liquor was still true sea salt brought by the operation of the fire into corpuscles so small, and perhaps so advantageously shap'd, as to be capable of the forme of a fluid body, he did in my presence poure to such spiritual salts a due proportion of the spirit (or salt and phlegme) of urine, whereby having evaporated the superfluous moisture, he soon obtain'd such another concrete, both as to tast and smell, and easie sublimableness as common salt _armoniack_, which you know is made up of grosse and undistill'd sea salt united with the salts of urine and of soot, which two are very neer of kin to each other. and further, to manifest that the corpuscles of sea salt and the saline ones of urine retain their several natures in this concrete, he mixt it with a convenient quantity of salt of tartar, and committing it to distillation soon regain'd his spirit of urine in a liquid form by its self, the sea salt staying behind with the salt of tartar. wherefore it is very possible that dry bodies may by the fire be reduc'd to liquors without any separation of elements, but barely by a certain kind of dissipation and comminution of the matter, whereby its parts are brought into a new state. and if it be still objected, that the phlegme of mixt bodies must be reputed water, because so weak a tast needs but a very small proportion of salt to impart it; it may be reply'd, that for ought appears, common salt and divers other bodies, though they be distill'd never so dry, and in never so close vessels, will yield each of them pretty store of a liquor, wherein though (as i lately noted) saline corpuscles abound, yet there is besides a large proportion of phlegme, as may easily be discovered by coagulating the saline corpuscles with any convenient body; as i lately told you, our friend coagulated part of the spirit of salt with spirit of urine: and as i have divers times separated a salt from oyle of vitriol it self (though a very ponderous liquor and drawn from a saline body) by boyling it with a just quantity of mercury, and then washing the newly coagulated salt from the precipitate with fair water. now to what can we more probably ascribe this plenty of aqueous substance afforded us by the distillation of such bodies, than unto this, that among the various operations of the fire upon the matter of a concrete, divers particles of that matter are reduc'd to such a shape and bignesse as is requisite to compose such a liquor as chymists are wont to call phlegme or water. how i conjecture this change may be effected, 'tis neither necessary for me to tell you, nor possible to do so without a much longer discourse then were now seasonable. but i desire you would with me reflect upon what i formerly told you concerning the change of quicksilver into water; for that water having but a very faint tast, if any whit more than divers of those liquors that chymists referr to phlegme; by that experiment it seems evident, that even a metalline body, and therefore much more such as are but vegetable or animal, may by a simple operation of the fire be turn'd in great part into water. and since those i dispute with are not yet able out of gold, or silver, or divers other concretes to separate any thing like water; i hope i may be allow'd to conclude against them, that water it self is not an universal and pre-existent ingredient of mixt bodies. but as for those chymists that, supposing with me the truth of what _helmont_ relates of the _alkahest's_ wonderful effects, have a right to press me with his authority concerning them, and to alledge that he could transmute all reputedly mixt bodies into insipid and meer water; to those i shall represent, that though his affirmations conclude strongly against the vulgar chymists (against whom i have not therefore scrupl'd to employ them) since they evince that the commonly reputed principles or ingredients of things are not permanent and indestructible, since they may be further reduc'd into insipid phlegme differing from them all; yet till we can be allow'd to examine this liquor, i think it not unreasonable to doubt whether it be not something else then meer water. for i find not any other reason given by _helmont_ of his pronouncing it so, then that it is insipid. now sapour being an accident or an affection of matter that relates to our tongue, palate, and other organs of tast, it may very possibly be, that the small parts of a body may be of such a size and shape, as either by their extream littleness, or by their slenderness, or by their figure, to be unable to pierce into and make a perceptible impression upon the nerves or membranous parts of the organs of tast, and what [errata: yet] may be fit to work otherwise upon divers other bodies than meer water can, and consequently to disclose it self to be of a nature farr enough from elementary. in silke dyed red or of any other colour, whilst many contiguous threads makes up a skein, the colour of the silke is conspicuous; but if only a very few of them be lookt upon, the colour will appear much fainter then before. but if you take out one simple thread, you shall not easily be able to discern any colour at all; so subtile an object having not the force to make upon the optick nerve an impression great enough to be taken notice of. it is also observ'd, that the best sort of oyl-olive is almost tastless, and yet i need not tell you how exceedingly distant in nature oyle is from water. the liquor into which i told you, upon the relation of _lully_, and [errata: an] eye-witness that mercury might be transmuted, has sometimes but a very languid, if any tast, and yet its operations even upon some mineral bodies are very peculiar. quicksilver it self also, though the corpuscles it consists of be so very small as to get into the pores of that closest and compactest of bodies, gold, is yet (you know) altogether tastless. and our _helmont_ several times tells us, that fair water wherein a little quantity f [errata: of] quicksilver has lain for some time, though it acquire no certain tast or other sensible quality from the quicksilver; yet it has a power to destroy wormes in humane bodies; which he does much, but not causelessly extoll. and i remember, a great lady, that had been eminent for her beauty in divers courts, confess'd to me, that this insipid liquor was of all innocent washes for the face the best that she ever met with. and here let me conclude my discourse, concerning such waters or liquors as i have hitherto been examining, with these two considerations. whereof the first is, that by reason of our being wont to drink nothing but wine, bear, cyder, or other strongly tasted liquors, there may be in several of these liquors, that are wont to pass for insipid phlegme, very peculiar and distinct, tasts [errata: distinct tasts] though unheeded (and perhaps not to be perceiv'd) by us. for to omit what naturalists affirm of apes, (and which probably may be true of divers other animals) that they have a more exquisite palate than men: among men themselves, those that are wont to drink nothing but water may (as i have try'd in my self) discern very sensibly a great difference of tasts in several waters, which one un-accustomed to drink water would take to be all alike insipid. and this is the _first_ of my two considerations; the _other_ is, that it is not impossible that the corpuscles into which a body is dissipated by the fire may by the operation of the same fire have their figures so altered, or may be by associations with one another brought into little masses of such a size and shape, as not to be fit to make sensible impressions on the tongue. and that you may not think such alterations impossible, be pleased to consider with me, that not only the sharpest spirit of vinager having dissolved as much corall as it can, will coagulate with it into a substance, which though soluble in water, like salt, is incomparably less strongly tasted then the vinager was before; but (what is more considerable) though the acid salts that are carried up with quicksilver in the preparation of common sublimate are so sharp, that being moistened with water it will corrode some of the metals themselves; yet this corrosive sublimate being twice or thrice re-sublim'd with a full proportion of insipid quicksilver, constitutes (as you know) that factitious concrete, which the chymists call _mercurius dulcis_; not because it is sweet, but because the sharpness of the corrosive salts is so taken away by their combination with the mercurial corpuscles, that the whole mixture when it is prepar'd is judg'd to be insipid. and thus (continues _carneades_) having given you some reasons why i refuse to admit elementary water for a constant ingredient of mixt bodies, it will be easie for me to give you an account why i also reject earth. for first, it may well be suspected that many substances pass among chymists under the name of earth, because, like it, they are dry, and heavy, and fixt, which yet are very farr from an elementary nature. this you will not think improbable, if you recall to mind what i formerly told you concerning what chymists call the dead earth of things, and especially touching the copper to be drawn from the _caput mortuum_ of vitriol; and if also you allow me to subjoyn a casual but memorable experiment made by _johannes agricola_ upon the _terra damnata_ of brimstone. our author then tells us (in his notes upon _popius_ [transcriber's note: poppius],) that in the year he made an oyle of sulphur; the remaining _fæces_ he reverberated in a moderate fire fourteen dayes; afterwards he put them well luted up in a wind oven, and gave them a strong fire for six hours, purposing to calcine the _fæces_ to a perfect whiteness, that he might make someting [transcriber's note: something] else out of them. but coming to break the pot, he found above but very little _fæces_, and those grey and not white; but beneath there lay a fine red _regulus_ which he first marvell'd at and knew not what to make of, being well assured that not the least thing, besides the _fæces_ of the sulphur, came into the pot; and that the sulphur it self had only been dissolv'd in linseed oyle; this _regulus_ he found heavy and malleable almost as lead; having caus'd a goldsmith to draw him a wire of it, he found it to be of the fairest copper, and so rightly colour'd, that a jew of _prague_ offer'd him a great price for it. and of this metal he sayes he had _loth_ (or six ounces) out of one pound of ashes or _fæces_. and this story may well incline us to suspect that since the _caput mortuum_ of the sulphur was kept so long in the fire before it was found to be any thing else then a _terra damnata_, there may be divers other residences of bodies which are wont to pass only for the terrestrial _fæces_ of things, and therefore to be thrown away as soon as the distillation or calcination of the body that yielded them is ended; which yet if they were long and skilfully examin'd by the fire would appear to be differing from elementary earth. and i have taken notice of the unwarrantable forwardness of common chymists to pronounce things useless _fæces_, by observing how often they reject the _caput mortuum_ of verdegrease; which is yet so farr from deserving that name, that not only by strong fires and convenient additaments it may in some hours be reduc'd into copper, but with a certain flux powder i sometimes make for recreation, i have in two or three minutes obtain'd that metal from it. to which i may add, that having for tryall sake kept venetian taclk [errata: talck] in no less a heat than that of a glass furnace, i found after all the brunt of the fire it had indur'd, the remaining body though brittle and discolour'd, had not lost very much of its former bulke, and seem'd still to be nearer of kin to talck than to meer earth. and i remember too, that a candid mineralist, famous for his skill in trying of oars, requesting me one day to procure him a certain _american_ mineral earth of a _virtuoso_, who he thought would not refuse me; i enquir'd of him why he seem'd so greedy of it: he confess'd to me that this gentleman having brought that earth to the publick say-masters; and they upon their being unable by any means to bring it to fusion or make it fly away, he (the relator) had procur'd a little of it; and having try'd it with a peculiar flux separated from it neer a third part of pure gold; so great mistakes may be committed in hastily concluding things to be uselesse earth. next, it may be suppos'd, that as in the resolution of bodies by the fire some of the dissipated parts may, by their various occursion occasion'd by the heat, be brought to stick together so closely as to constitute corpuscles too heavy for the fire to carry away; the aggregate of which corpuscles is wont to be call'd ashes or earrh [errata: earth]; so other agents may resolve the concrete into minute parts, after so differing a manner as not to produce any _caput mortuum_, or dry and heavy body. as you may remember _helmont_ above inform'd us, that with his great dissolvent he divided a coal into two liquid and volatile bodies, æquiponderant to the coal, without any dry or fixt residence at all. and indeed, i see not why it should be necessary that all agents that resolve bodies into portions of differingly qualifi'd matter must work on them the same way, and divide them into just such parts, both for nature and number, as the fire dissipates them into. for since, as i noted before, the bulk and shape of the small parts of bodies, together with their fitness and unfitness to be easily put into motion, may make the liquors or other substances such corpuscles compose, as much to differ from each other as do some of the chymical principles: why may not something happen in this case, not unlike what is usuall in the grosser divisions of bodies by mechanical instruments? where we see that some tools reduce wood, for instance, into darts [errata: parts] of several shapes, bignesse, and other qualities, as hatchets and wedges divide it into grosser parts; some more long and slender, as splinters; and some more thick and irregular, as chips; but all of considerable bulk; but files and saws makes a comminution of it into dust; which, as all the others, is of the more solid sort of parts; whereas others divide it into long and broad, but thin and flexible parts, as do _planes_: and of this kind of parts it self there is also a variety according to the difference of the tools employ'd to work on the wood; the shavings made by the _plane_ being in some things differing from those shives or thin and flexible pieces of wood that are obtain'd by _borers_, and these from some others obtainable by other tools. some chymical examples applicable to this purpose i have elsewhere given you. to which i may add, that whereas in a mixture of sulphur and salt of tartar well melted and incorporated together, the action of pure spirit of wine digested on it is to separate the sulphureous from the alcalizate parts, by dissolving the former and leaving the latter, the action of wine (probably upon the score of its copious phlegme) upon the same mixture is to divide it into corpuscles consisting of both alcalizate and sulphureous parts united. and if it be objected, that this is but a factitious concrete; i answer, that however the instance may serve to illustrate what i propos'd, if not to prove it; and that nature her self doth in the bowels of the earth make decompounded bodies, as we see in vitriol, cinnaber, and even in sulphur it self; i will not urge that the fire divides new milk into five differing substances; but runnet and acid liquors divide it into a coagulated matter and a thin whey: and on the other side churning divides it into butter and butter-milk, which may either of them be yet reduc'd to other substances differing from the former. i will not presse this, i say, nor other instances of this nature, because i cannot in few words answer what may be objected, that these concretes sequestred without the help of the fire may by it be further divided into hypostatical principles. but i will rather represent, that whereas the same spirit of wine will dissociare [transcriber's note: dissociate] the parts of camphire, and make them one liquor with it self; _aqua fortis_ will also disjoyn them, and put them into motion; but so as to keep them together, and yet alter their texture into the form of an oyle. i know also an uncompounded liquor, that an extraordinary chymist would not allow to be so much as saline, which doth (as i have try'd) from coral it self (as fixt as divers judicious writers assert that concrete to be) not only obtain a noble tincture, without the intervention of nitre or other salts; but will carry over the tincture in distillation. and if some reasons did not forbid me, i could now tell you of a _menstruum_ i make my self, that doth more odly dissociate the parts of minerals very fixt in the fire. so that it seems not incredible, that there may be some agent or way of operation found, whereby this or that concrete, if not all firme bodies, may be resolv'd into parts so very minute and so unapt to stick close to one another, that none of them may be fixt enough to stay behind in a strong fire, and to be incapable of distillation; nor consequently to be look'd upon as earth. but to return to _helmont_, the same authour somewhere supply's me with another argument against the earth's being such an element as my adversaries would have it. for he somewhere affirms, that he can reduce all the terrestrial parts of mixt bodies into insipid water; whence we may argue against the earths being one of their elements, even from that notion of elements which you may remember _philoponus_ recited out of _aristotle_ himself, when he lately disputed for his chymists against _themistius_. and here we may on this occasion consider, that since a body from which the fire hath driven away its looser parts is wont to be look'd upon as earth, upon the account of its being endow'd with both these qualities, tastlessenesse and fixtnesse, (for salt of tartar though fixt passes not among the chymists for earth, because 'tis strongly tasted) if it be in the power of natural agents to deprive the _caput mortuum_ of a body of either of those two qualities, or to give them both to a portion of matter that had them not both before, the chymists will not easily define what part of a resolv'd concrete is earth, and make out, that that earth is a primary, simple, and indestructible body. now there are some cases wherein the more skilful of the vulgar chymists themselves pretend to be able, by repeated cohobations and other fit operations, to make the distilled parts of a concrete bring its own _caput mortuum_ over the helme, in the forme of a liquor; in which state being both fluid and volatile, you will easily believe it would not be taken for earth. and indeed by a skilful, but not vulgar, way of managing some concretes, there may be more effected in this kind, then you perhaps would easily think. and on the other side, that either earth may be generated, or at least bodies that did not before appear to be neer totally earth, may be so alter'd as to pass for it, seems very possible, if _helmont_[ ] have done that by art which he mentions in several places; especially where he sayes that he knowes wayes whereby sulphur once dissolv'd is all of it fix'd into a terrestrial powder; and the whole bodie of salt-petre may be turn'd into earth: which last he elsewhere sayes is done by the odour only of a certain sulphureous fire. and in another place he mentions one way of doing this, which i cannot give you an account of; because the materialls i had prepar'd for trying it, were by a servants mistake unhappily thrown away. [footnote : _novi item modos quibus totum salpetiæ [errata: sal-petræ] in terram convertitur, totumque sulphur semel dissolutum fixetur in pulvearem terreum. helmont in compl. atque mist. elementor. sect. ._] and these last arguments may be confirm'd by the experiment i have often had occasion to mention concerning the mint i produc'd out of water. and partly by an observation of _rondeletius_ concerning the growth of animals also, nourish'd but by water, which i remember'd not to mention, when i discours'd to you about the production of things out of water. this diligent writer then in his instructive book of fishes,[ ] affirmes that his wife kept a fish in a glass of water without any other food for three years; in which space it was constantly augmented, till at last it could not come out of the place at which it was put in, and at length was too big for the glass it self though that were of a large capacity. and because there is no just reason to doubt, that this fish, if distill'd, would have yielded the like differing substances with other animals: and however, because the mint which i had out of water afforded me upon distillation a good quantity of charcoal, i think i may from thence inferr, that earth it self may be produc'd out of water; or if you please, that water may be transmuted into earth; and consequently, that though it could be prov'd that earth is an ingredient actually in-existent in the vegetable and animal bodies whence it may be obtain'd by fire: yet it would not necessarily follow, that earth as a pre-existent element does with other principles convene to make up those bodies whence it seems to have been separated. [footnote : _lib. . cap. ._] after all is said (sayes _eleutherius_) i have yet something to object, that i cannot but think considerable, since _carneades_ himself alledg'd it as such; for, (continues _eleutherius_ smiling) i must make bold to try whether you can as luckily answer your own arguments, as those of your antagonists, i mean (pursues he) that part of your concessions, wherein you cannot but remember that you supply'd your adversaries with an example to prove that there may be elementary bodies, by taking notice that gold may be an ingredient in a multitude of differing mixtures, and yet retain its nature, notwithstanding all that the chymists by their fires and corrosive waters are able to do to destroy it. i sufficiently intimated to you at that time (replies _carneades_) that i propos'd this example, chiefly to shew you how nature may be conceived to have made elements, not to prove that she actually has made any; and you know, that _a posse ad esse_ the inference will not hold. but (continues _carneades_) to answer more directly to the objection drawn from gold, i must tell you, that though i know very well that divers of the more sober chymists have complain'd of the vulgar chymists, as of mountebanks or cheats, for pretending so vainly, as hitherto they have done, to destroy gold; yet i know a certain _menstruum_ (which our friend has made, and intends shortly to communicate to the ingenious) of so piercing and powerfull a quality, that if notwithstanding much care, and some skill, i did not much deceive myself, i have with it really destroy'd even refin'd gold, and brought it into a metalline body of another colour and nature, as i found by tryals purposely made. and if some just considerations did not for the present forbid it, i could perchance here shew you by another experiment or two of my own trying, that such _menstruums_ may be made as to entice away and retain divers parts, from bodies, which even the more judicious and experienc'd _spagyrists_ have pronounc'd irresoluble by the fire. though (which i desire you would mark) in neither of these instances, the gold or precious stones be analys'd into any of the _tria prima_, but only reduc'd to new concretes. and indeed there is a great disparity betwixt the operations of the several agents whereby the parts of a body come to be dissipated. as if (for instance) you dissolve the purer sort of vitriol in common water, the liquor will swallow up the mineral, and so dissociate its corpuscles, that they will seem to make up but one liquor with those of the water; and yet each of these corpuscles retains its nature and texture, and remains a vitriolate and compounded body. but if the same vitriol be exposed to a strong fire, it will then be divided not only, as before, into smaller parts, but into heterogeneous substances, each of the vitriolate corpuscles that remain'd entire in the water, being it self upon the destruction of its former texture dissipated or divided into new particles of differing qualities. but instances more fitly applicable to this purpose, i have already given you. wherefore to return to what i told you about the destruction of gold, that experiment invites me to represent to you, that though there were either saline, or sulphureous, or terrestrial portions of matter, whose parts were so small, so firmly united together, or of a figure so fit to make them cohere to one another, (as we see that in quicksilver broken into little globes, the parts brought to touch one another do immediately re-imbody) that neither the fire, nor the usual agents employ'd by chymists, are pierceing enough to divide their parts, so as to destroy the texture of the single corpuscles; yet it would not necessarily follow, that such permanent bodies were elementary, since tis possible there may be agents found in nature, some of whose parts may be of such a size and figure as to take better hold of some parts of these seemingly elementary corpuscles than these parts do of the rest, and consequently may carry away such parts with them, and so dissolve the texture of the corpuscle by pulling its parts asunder. and if it be said, that at least we may this way discover the elementary ingredients of things, by observing into what substances these corpuscles that were reputed pure are divided; i answer, that it is not necessary that such a discovery should be practicable. for if the particles of the dissolvent do take such firme hold of those of the dissolved body, they must constitute together new bodies, as well as destroy the old; and the strickt union, which according to this _hypothesis_ may well be suppos'd betwixt the parts of the emergent body, will make it as little to be expected that they should be pull'd asunder, but by little parts of matter, that to divide them associate themselves and stick extreamly close to those of them which they sever from their former adherents. besides that it is not impossible, that a corpuscle suppos'd to be elementary may have its nature changed, without suffering a divorce of its parts, barely by a new texture effected by some powerfull agent; as i formerly told you, the same portion of matter may easily by the operation of the fire be turn'd at pleasure into the form of a brittle and transparent, or an opacous and malleable body. and indeed, if you consider how farr the bare change of texture, whether made by art or nature (or rather by nature with or without the assistance of man) can go in producing such new qualities in the same parcel of matter, and how many inanimate bodies (such as are all the chymical productions of the fire) we know are denominated and distinguish'd not so much by any imaginary substantial form, as by the aggregate of these qualities. if you consider these things, i say, and that the varying of either the figure, or the size, or the motion, or the situation, or connexion of the corpuscles whereof any of these bodies is compos'd, may alter the fabrick of it, you will possibly be invited to suspect, with me, that there is no great need that nature should alwayes have elements before hand, whereof to make such bodies as we call mixts. and that it is not so easie as chymists and others have hitherto imagin'd, to discern, among the many differing substances that may without any extraordinary skill be obtain'd from the same portion of matter, which ought to be esteemed exclusively to all the rest, its in-existent elementary ingredients; much lesse to determine what primogeneal and simple bodies convened together to compose it. to exemplify this, i shall add to what i have already on several occasions represented, but this single instance. you may remember (_eleutherius_) that i formerly intimated to you, that besides mint and pompions, i produced divers other vegetables of very differing natures out of water. wherefore you will not, i presume, think it incongruous to suppose, that when a slender vine-slip is set into the ground, and takes root, there it may likewise receive its nutriment from the water attracted out of the earth by his roots, or impell'd by the warm'th of the sun, or pressure of the ambient air into the pores of them. and this you will the more easily believe, if you ever observ'd what a strange quantity of water will drop out of a wound given to the vine, in a convenient place, at a seasonable time in the spring; and how little of tast or smell this _aqua vitis_, as physitians call it, is endow'd with, notwithstanding what concoction or alteration it may receive in its passage through the vine, to discriminate it from common water. supposing then this liquor, at its first entrance into the roots of the vine, to be common water; let us a little consider how many various substances may be obtain'd from it; though to do so, i must repeat somewhat that i had a former occasion to touch upon. and first, this liquor being digested in the plant, and assimilated by the several parts of it, is turn'd into the wood, bark, pith, leaves, &c. of the vine; the same liquor may be further dry'd, and fashon'd into vine-buds, and these a while after are advanced unto sour grapes, which express'd yield verjuice, a liquor very differing in several qualities both from wine and other liquors obtainable from the vine: these soure grapes being by the heat of the sun concocted and ripened, turne to well tasted grapes; these if dry'd in the sun and distill'd, afford a fætid oyle and a piercing _empyreumatical_ spirit, but not a vinous spirit; these dry'd grapes or raisins boyl'd in a convenient proportion of water make a sweet liquor, which being betimes distill'd afford an oyle and spirit much like those of the raisins themselves; if the juice of the grapes be squeez'd out and put to ferment, it first becomes a sweet and turbid liquor, then grows lesse sweet and more clear, and then affords in common distillations not an oyle but a spirit, which, though inflamable like oyle, differs much from it, in that it is not fat, and that it will readily mingle with water. i have likewise without addition obtain'd in processe of time (and by an easie way which i am ready to teach you) from one of the noblest sorts of wine, pretty store of pure and curiously figured crystals of salt, together with a great proportion of a liquor as sweet almost as hony; and these i obtained not from must, but true and sprightly wine; besides the vinous liquor, the fermented juice of grapes is partly turned into liquid dregs or leeze, and partly into that crust or dry feculancy that is commonly called tartar; and this tartar may by the fire be easily divided into five differing substances; four of which are not acid, and the other not so manifestly acid as the tartar it self; the same vinous juice after some time, especially if it be not carefully kept, degenerates into that very sour liquor called vinegar; from which you may obtain by the fire a spirit and a crystalline salt differing enough from the spirit and lixiviate salt of tartar. and if you pour the dephlegm'd spirit of the vinegar upon the salt of tartar, there will be produc'd such a conflict or ebullition as if there were scarce two more contrary bodies in nature; and oftentimes in this vinager you may observe part of the matter to be turned into an innumerable company of swimming animals, which our friend having divers years ago observed, hath in one of his papers taught us how to discover clearly without the help of a _microscope_. into all these various schemes of matter, or differingly qualifyed bodies, besides divers others that i purposely forbear to mention, may the water that is imbib'd by the roots of the vine be brought, partly by the formative power of the plant, and partly by supervenient agents or causes, without the visible concurrence of any extraneous ingredient; but if we be allowed to add to the productions of this transmuted water a few other substances, we may much encrease the variety of such bodies; although in this second sort of productions, the vinous parts seem scarce to retain any thing of the much more fix'd bodies wherewith they were mingl'd; but only to have by their mixture with them acquir'd such a disposition, that in their recess occasion'd by the fire they came to be alter'd as to shape, or bigness, or both, and associated after a new manner. thus, as i formerly told you, i did by the addition of a _caput mortuum_ of antimony, and some other bodies unfit for distillation, obtain from crude tartar, store of a very volatile and crystalline salt, differing very much in smell and other qualities from the usuall salts of tartar. but (sayes _eleutherius_, interrupting him at these words) if you have no restraint upon you, i would very gladly before you go any further, be more particularly inform'd, how you make this volatile salt, because (you know) that such multitudes of chymists have by a scarce imaginable variety of wayes, attempted in vain the volatilization of the salt of tartar, that divers learned _spagyrists_ speak as if it were impossible, to make any thing out of tartar, that shall be volatile in a saline forme, or as some of them express it, _in forma sicca_. i am very farr from thinking (answers _carneades_) that the salt i have mention'd is that which _paracelsus_ and _helmont_ mean when they speak of _sal tartari volatile_, and ascribe such great things to it. for the salt i speak of falls extreamly short of those virtues, not seeming in its tast, smel, and other obvious qualities, to differ very much (though something it do differ) from salt of harts-horn, and other volatile salts drawn from the distill'd parts of animals. nor have i yet made tryals enough to be sure, that it is a pure salt of tartar without participating any thing at all of the nitre, or antimony. but because it seems more likely to proceed from the tartar, than from any of the other ingredients, and because the experiment is in it self not ignoble, and luciferous enough (as shewing a new way to produce a volatile salt contrary to acid salts from bodies that otherwise are observ'd to yield no such liquor, but either only, or chiefly, acid ones,) i shall, to satisfie you, acquaint you before any of my other friends with the way i now use (for i have formerly us'd some others) to make it. take then of good antimony, salt-petre and tartar, of each an equal weight, and of quicklime halfe the weight of any one of them; let these be powder'd and well mingl'd; this done, you must have in readiness a long neck or retort of earth, which must be plac'd in a furnace for a naked fire, and have at the top of it a hole of a convenient bigness, at which you may cast in the mixture, and presently stop it up again; this vessel being fitted with a large receiver must have fire made under it, till the bottom of the sides be red hot, and then you must cast in the above prepar'd mixture, by about halfe a spoonfull (more or less) at a time, at the hole made for that purpose; which being nimbly stopt, the fumes will pass into the receiver and condense there into a liquor, that being rectifi'd will be of a pure golden colour, and carry up that colour to a great height; this spirit abounds in the salt i told you of, part of which may easily enough be separated by the way i use in such cases, which is, to put the liquor into a glass egg, or bolthead with a long and narrow neck. for if this be plac'd a little inclining in hot sand, there will sublime up a fine salt, which, as i told you, i find to be much of kin to the volatile salts of animals: for like them it has a saltish, not an acid salt; it hisses upon the affusion of spirit of nitre, or oyle of vitriol; it precipitates corals dissolv'd in spirit of vinager; it turnes the blew syrup of violets immediately green; it presently turnes the solution of sublimate into a milkie whiteness; and in summ, has divers operations like those that i have observ'd in that sort of salts to which i have resembled it: and is so volatile, that for distinction sake, i call it _tartari fugitivus_ [errata: sal tartari fugitivus]. what virtues it may have in physick i have not yet had the opportunity to try; but i am apt to think they will not be despicable. and besides that a very ingenious friend of mine tells me he hath done great matters against the stone, with a preparation not very much differing from ours, a very experienc'd germane chymist finding that i was unacquainted with the wayes of making this salt, told me that in a great city in his country, a noted chymist prizes it so highly, that he had a while since procur'd a priviledge from the magistrates, that none but he, or by his licence, should vent a spirit made almost after the same way with mine, save that he leaves out one of the ingredients, namely the quick-lime. but, continues _carneades_, to resume my former discourse where your curiosity interrupted it; tis also a common practice in _france_ to bury thin plates of copper in the marc (as the french call it) or husks of grapes, whence the juice has been squeez'd out in the wine-press, and by this means the more saline parts of those husks working by little and little upon the copper, coagulate themselves with it into that blewish green substance we in english call verdigrease. of which i therefore take notice, because having distill'd it in a naked fire, i found as i expected, that by the association of the saline with the metalline parts, the former were so alter'd, that the distill'd liquor, even without rectification, seem'd by smell and tast, strong almost like _aqua fortis_, and very much surpassed the purest and most rectifi'd spirit of vinager that ever i made. and this spirit i therefore ascribe to the salt of the husks alter'd by their co-mixture with the copper (though the fire afterwards divorce and transmute them) because i found this later in the bottom of the retort in the forme of a _crocus_ or redish powder: and because copper is of too sluggish a nature to be forc'd over in close vessels by no stronger a heat. and that which is also somewhat remarkable in the destillation of good verdigrease, (or at least of that sort that i us'd) is this, that i never could observe that it yielded me any oyl, (unless a little black slime which was separated in rectification may pass for oyle) though both tartar and vinager, (especially the former) will by destillation yield a moderate proportion of it. if likewise you pour spirit of vinager upon calcin'd lead, the acid salt of the liquor will by its commixture with the metalline parts, though insipid, acquire in a few hours a more than saccharine sweetness; and these saline parts being by a strong fire destill'd from the lead wherewith they were imbody'd, will, as i formerly also noted to a different purpose, leave the metal behind them alter'd in some qualities from what it was, and will themselves ascend, partly in the forme of an unctuous body or oyle, partly in that of phlegme; but for the greatest part in the forme of a subtile spirit, indow'd, besides divers new qualities which i am not now willing to take notice of, with a strong smell very much other than that of vinager, and a piercing tast quite differing both from the sowerness of the spirit of vinager, and the sweetness of the sugar of lead. to be short, as the difference of bodies may depend meerly upon that of the schemes whereinto their common matter is put; so the seeds of things, the fire and the other agents are able to alter the minute parts of a body (either by breaking them into smaller ones of differing shapes, or by uniting together these fragments with the unbroken corpuscles, or such corpuscles among themselves) and the same agents partly by altering the shape or bigness of the constituent corpuscles of a body, partly by driving away some of them, partly by blending others with them, and partly by some new manner of connecting them, may give the whole portion of matter a new texture of its minute parts; and thereby make it deserve a new and distinct name. so that according as the small parts of matter recede from each other, or work upon each other, or are connected together after this or that determinate manner, a body of this or that denomination is produced, as some other body happens thereby to be alter'd or destroy'd. since then those things which chymists produce by the help of the fire are but inanimate bodies; since such fruits of the chymists skill differ from one another but in so few qualities that we see plainly that by fire and other agents we can employ, we can easily enough work as great alterations upon matter, as those that are requisite to change one of these chymical productions into another; since the same portion of matter may without being compounded with any extraneous body, or at least element, be made to put on such a variety of formes, and consequently to be (successively) turn'd into so many differing bodies. and since the matter cloath'd with so many differing formes was originally but water, and that in its passage thorow so many transformations, it was never reduc'd into any of those substances which are reputed to be the principles or elements of mixt bodies, except by the violence of the fire, which it self divides not bodies into perfectly simple or elementary substances, but into new compounds; since, i say, these things are so, i see not why we must needs believe that there are any primogeneal and simple bodies, of which as of pre-exsistent elements nature is obliged to compound all others. nor do i see why we may not conceive that she may produce the bodies accounted mixt out of one another by variously altering and contriving their minute parts, without resolving the matter into any such simple or homogeneous substances as are pretended. neither, to dispatch, do i see why it should be counted absur'd [transcriber's note: absurd] to think, that when a body is resolv'd by the fire into its suppos'd simple ingredients, those substances are not true and proper elements, but rather were, as it were, accidentally produc'd by the fire, which by dissipating a body into minute parts does, if those parts be shut up in close vessels, for the most part necessarily bring them to associate themselves after another manner than before, and so bring them into bodies of such different consistences as the former texture of the body, and concurrent circumstances make such disbanded particles apt to constitute; as experience shews us (and i have both noted it, and prov'd it already) that as there are some concretes whose parts when dissipated by fire are fitted to be put into such schemes of matter as we call oyle, and salt, and spirit; so there are others, such as are especially the greatest part of minerals, whose corpuscles being of another size or figure, or perhaps contriv'd another way, will not in the fire yield bodies of the like consistences, but rather others of differing textures; not to mention, that from gold and some other bodies, we see not that the fire separates any distinct substances at all; nor that even those similar parts of bodies which the chymists obtain by the fire, are the elements whose names they bear, but compound bodies, upon which, for their resemblance to them in consistence, or some other obvious quality, chymists have been pleas'd to bestow such appellations. the conclusion. these last words of _carneades_ being soon after follow'd by a noise which seem'd to come from the place where the rest of the company was, he took it for a warning, that it was time for him to conclude or break off his discourse; and told his friend; by this time i hope you see, _eleutherius_, that if _helmonts_ experiments be true, it is no absurdity to question whether that doctrine be one, that doth not assert any elements in the sence before explain'd. but because that, as divers of my arguments suppose the marvellous power of the _alkahest_ in the analyzing of bodies, so the effects ascrib'd to that power are so unparallell'd and stupendious, that though i am not sure but that there _may be_ such an agent, yet little less than [greek: autopsia] seems requisite to make a man sure there _is_. and consequently i leave it to you to judge, how farre those of my arguments that are built upon _alkahestical_ operations are weakned by that liquors being matchless; and shall therefore desire you not to think that i propose this paradox that rejects all elements, as an opinion equally probable with the former part of my discourse. for by that, i hope, you are satisfied, that the arguments wont to be brought by chymists, to prove that all bodies consist of either three principles, or five, are far from being so strong as those that i have employ'd to prove, that there is not any certain and determinate number of such principles or elements to be met with universally in all mixt bodies. and i suppose i need not tell you, that these _anti-chymical_ paradoxes might have been manag'd more to their advantage; but that having not confin'd my curiosity to chymical experiments, i who am but a young man, and younger chymist, can yet be but slenderly furnished with them, in reference to so great and difficult a task as you impos'd upon me; besides that, to tell you the truth, i durst not employ some even of the best experiments i am acquainted with, because i must not yet disclose them; but however, i think i may presume that what i have hitherto discoursed will induce you to think, that chymists have been much more happy in finding experiments than the causes of them; or in assigning the principles by which they may best be explain'd. and indeed, when in the writings of _paracelsus_ i meet with such phantastick and un-intelligible discourses as that writer often puzzels and tyres his reader with, father'd upon such excellent experiments, as though he seldom clearly teaches, i often find he knew; me thinks the chymists, in their searches after truth, are not unlike the navigators of _solomons tarshish_ fleet, who brought home from their long and tedious voyages, not only gold, and silver, and ivory, but apes and peacocks too; for so the writings of several (for i say not, all) of your hermetick philosophers present us, together with divers substantial and noble experiments, theories, which either like peacocks feathers make a great shew, but are neither solid nor useful; or else like apes, if they have some appearance of being rational, are blemish'd with some absurdity or other, that when they are _attentively_ consider'd, makes them appear ridiculous. _carneades_ having thus finish'd his discourse against the received doctrines of the _elements_; _eleutherius_ judging he should not have time to say much to him before their separation, made some haste to tell him; i confess, _carneades_, that you have said more in favour of your paradoxes then i expected. for though divers of the experiments you have mention'd are no secrets, and were not unknown to me, yet besides that you have added many of your own unto them, you have laid them together in such a way, and apply'd them to such purposes, and made such deductions from them, as i have not hitherto met with. but though i be therefore inclin'd to think, that _philoponus_, had he heard you, would scarce have been able in all points to defend the chymical _hypothesis_ against the arguments wherewith you have oppos'd it; yet me thinks that however your objections seem to evince a great part of what they pretend to, yet they evince it not all; and the numerous tryals of those you call the vulgar chymists, may be allow'd to prove something too. wherefore, if it be granted you that you have made it probable, first, that the differing substances into which mixt bodies are wont to be resolved by the fire are not of a pure and an elementary nature, especially for this reason, that they yet retain so much of the nature of the concrete that afforded them, as to appear to be yet somewhat compounded, and oftentimes to differ in one concrete from principles of the same denomination in another: next, that as to the number of these differing substances, neither is it precisely three, because in most vegetable and animal bodies earth and phlegme are also to be found among their ingredients; nor is there any one determinate number into which the fire (as it is wont to be employ'd) does precisely and universally resolve all compound bodies whatsoever, as well minerals as others that are reputed perfectly mixt. lastly, that there are divers qualities which cannot well be refer'd to any of these substances, as if they primarily resided in it and belong'd to it; and some other qualities, which though they seem to have their chief and most ordinary residence in some one of these principles or elements of mixt bodies, are not yet so deducible from it, but that also some more general principles must be taken in to explicate them. if, i say, the chymists (continues _eleutherius_) be so liberall as to make you these three concessions, i hope you will, on your part, be so civil and equitable as to grant them these three other propositions, namely; first, that divers mineral bodies, and therefore probably all the rest, may be resolv'd into a saline, a sulphureous, and a mercurial part; and that almost all vegetable and animal concretes may, if not by the fire alone, yet, by a skilfull artist employing the fire as his chief instrument, be divided into five differing substances, salt, spirit, oyle, phlegme and earth; of which the three former by reason of their being so much more operative than the two later, deserve to be lookt upon as the three active principles, and by way of eminence to be call'd the three principles of mixt bodies. next, that these principles, though they be not perfectly devoid of all mixture, yet may without inconvenience be stil'd the elements of compounded bodies, and bear the names of those substances which they most resemble, and which are manifestly predominant in them; and that especially for this reason, that none of these elements is divisible by the fire into four or five differing substances, like the concrete whence it was separated. lastly, that divers of the qualities of a mixt body, and especially the medical virtues, do for the most part lodge in some one or other of its principles, and may therefore usefully be sought for in that principle sever'd from the others. and in this also (pursues _eleutherius_) methinks both you and the chymists may easily agree, that the surest way is to learn by particular experiments, what differing parts particular bodies do consist of, and by what wayes (either actual or potential fire) they may best and most conveniently be separated, as without relying too much upon the fire alone, for the resolving of bodies, so without fruitlessly contending to force them into more elements than nature made them up of, or strip the sever'd principles so naked, as by making them exquisitely elementary to make them almost useless, these things (subjoynes _eleu._) i propose, without despairing to see them granted by you; not only because i know that you so much preferr the reputation of _candor_ before that of subtility, that your having once suppos'd a truth would not hinder you from imbracing it when clearly made out to you; but because, upon the present occasion, it will be no disparagement to you to recede from some of your paradoxes, since the nature and occasion of your past discourse did not oblige you to declare your own opinions, but only to personate an antagonist of the chymists. so that (concludes he, with a smile) you may now by granting what i propose, add the reputation of loving the truth sincerely to that of having been able to oppose it subtilly. _carneades's_ haste forbidding him to answer this crafty piece of flattery; till i shal (sayes he) have an opportunity to acquaint you with my own opinions about the controversies i have been discoursing of, you will not, i hope, expect i should declare my own sence of the arguments i have employ'd. wherefore i shall only tell you thus much at present; that though not only an acute naturalist, but even i my self could take plausible exceptions at some of them; yet divers of them too are such as will not perhaps be readily answer'd, and will reduce my adversaries, at least, to alter and reform their _hypothesis_. i perceive i need not minde you that the objections i made against the quaternary of elements and ternary of principles needed not to be oppos'd so much against the doctrines themselves (either of which, especially the latter, may be much more probably maintain'd than hitherto it seems to have been, by those writers for it i have met with) as against the unaccurateness and the unconcludingness of the _analytical_ experiments vulgarly relyed on to demonstrate them. and therefore, if either of the two examin'd opinions, or any other theory of elements, shall upon rational and experimental grounds be clearly made out to me; 'tis obliging, but not irrational, in you to expect, that i shall not be so farr in love with my disquieting doubts, as not to be content to change them for undoubted truths. and (concludes _carneades_ smiling) it were no great disparagement for a sceptick to confesse to you, that as unsatisfy'd as the past discourse may have made you think me with the doctrines of the peripateticks, and the chymists, about the elements and principles, i can yet so little discover what to acquiesce in, that perchance the enquiries of others have scarce been more unsatisfactory to me, than my own have been to my self. _finis._ * * * * * the authors constant absence from the presse, whilst the former treatise was printing, and the nature of the subject it self, wherewith ordinary composers are not wont to be at all acquainted, will, 'tis hop'd, procure the readers excuse, till the next edition, if the _errata_ be somewhat numerous, and if among them there want not some grosser mistakes, which yet are not the only blemishes these lines must take notice of and acknowledg; for the author now perceives that through the fault of those to whom he had committed the former treatise in loose sheets, some papers that belonged to it, have altogether miscarryed. and though it have luckily enough happen'd, for the most part, that the omission of them does not marr the cohærence of the rest; yet till the next design'd edition afford an _opportunity_ of inserting them, it is thought fit that the printer give notice of one omission at the end of the first dialogue; and that to these _errata_ there be annex'd the ensuing sheet of paper, that was casually lost, or forgotten by him that should have put it into the presse; where it ought to have been inserted, in the . printed page, at the break, betwixt the words, [_nature_] in the th. line, and [_but_] in the next line after. though it is to be noted here, that by the mistake of the printer, in some books, the number of is placed at the top of two somewhat distant pages; and in such copies the following addition ought to be inserted in the latter of the two, as followeth. and on this occasion i cannot but take notice, that whereas the great argument which the chymists are wont to employ to vilify earth and water, and make them be look'd upon as useless and unworthy to be reckon'd among the principles of mixt bodies, is, that they are not endow'd with specifick properties, but only with elementary qualities; of which they use to speak very sleightingly, as of qualities contemptible and unactive: i see no sufficient reason for this practice of the chymists: for 'tis confess'd that heat is an elementary quality, and yet that an almost innumerable company of considerable things are perform'd by heat, is manifest to them that duly consider the various _phænomena_ wherein it intervenes as a principall actor; and none ought less to ignore or distrust this truth then a chymist. since almost all the operations and productions of his art are performed chiefly by the means of heat. and as for cold it self, upon whose account they so despise the earth and water, if they please to read in the voyages of our english and dutch navigators in _nova zembla_ and other northern regions what stupendious things may be effected by cold, they would not perhaps think it so despicable. and not to repeat what i lately recited to you out of _paracelsus_ himself, who by the help of an intense cold teaches to separate the quintessence of wine; i will only now observe to you, that the conservation of the texture of many bodies both animate and inanimate do's so much depend upon the convenient motion both of their own fluid and looser parts, and of the ambient bodies, whether air, water, &c. that not only in humane bodies we see that the immoderate or unseasonable coldness of the air (especially when it finds such bodies overheated) do's very frequently discompose the _oeconomie_ of them, and occasion variety of diseases; but in the solid and durable body of iron it self, in which one would not expect that suddain cold should produce any notable change, it may have so great an operation, that if you take a wire, or other slender piece of steel, and having brought it in the fire to a white heat, you suffer it afterwards to cool leasurely in the air, it will when it is cold be much of the same hardnesse it was of before: whereas if as soon as you remove it from the fire, you plunge it into cold water, it will upon the sudden refrigeration acquire a very much greater hardness then it had before; nay, and will become manifestly brittle. and that you may not impute this to any peculiar quality in the water, or other liquor, or unctuous matter, wherein such heated steel is wont to be quenched that it may be temper'd; i know a very skillful tradesman, that divers times hardens steel by suddenly cooling it in a body that is neither a liquor, nor so much as moist. a tryal of that nature i remember i have seen made. and however by the operation that water has upon steel quenched in it, whether upon the account of its coldness and moisture, or upon that of any other of its qualities, it appears, that water is not alwaies so inefficacious and contemptible a body, as our chymists would have it passe for. and what i have said of the efficacy of cold and heat, might perhaps be easily enough carried further by other considerations and experiments; were it not that having been mention'd only upon the bye, i must not insist on it, but proceed to another subject. _errata._ pag. . line. . read _so qualify'd_, . . _ratiocinations_, . . _for a_, . . in a parenth. (_that is no more_), . . _besides another caput_, . . _employ_, . . _structure_, . . _sack_, ibid. . _sack_, . . instead of _appear it, will_, leg. _appear, it will_, . . _leasure_, ibid. _principal_, . . _and till it suffer_, . . leg. in parenth. (_notwithstanding, &c._ . . _so_, . . [greek: synchysis], . . _nor have been resolved_, . . _magistram_, . . _lately_, . . _tunned_, . . _intolerable_, ibid. . _in_, . . _tegularum_, . . _distill'd from_, . . dele _the_, . . _bodies_, . . [transcriber's note: .] _fugitive_, . . instead of _all_ lege _a pound_, . . _chymist_, . . _ashes off_, . . _deopilative)_, . . _it self_, . . [greek: ousia analogos], _ibid._ [greek: astrôn stoicheiô], . . make a parenth. at the words, _by the_, and shut it after the words in the . line _at all_, . . _corals_, . . _ascribes_, . . _porosity_, ibid. . _noted_, . . _bodies_, . . _(attended_, . . dele _to_, . . _devisers_, . . _and_, . . _too_, . . _fugitivenesse_, . . _origine_, ibid. . _contrivance of_, . . _nay, barthias_, . [transcriber's note: .] . _in; i will_, . . _absurd_, . . [transcriber's note: .] _goutieres_, . . _antea_, . . _compertissimum_, ibid. . _joachimica_, ibid. _graminis_, ibid. . _sua_ [transcriber's note: this appears to be correct on the original page ], . . _dutch account_, . . _diggers)_, ibid. . and . lin. read _damp as the englishmen also call it_, . . _a height_, . . _in use_, . . _latter; and_, ibid. . _water; i_, . . _rest_, ibid. . _know)_, . . after _aggregate_ insert _or complex_, ibid. . dele ), ibid. . dele ), . . before _as_ begin a parenth. which ends lin. . at _gold_, ibid. instead of _which_, put _this_, ibid. . with the word _texture_ should be connected the next line, _though_, and this word _though_ is to have put before it a parenthesis, which is to end at the word _fluid_ in the th. line, . . _regulus martis stellatus_, . . _relations_, ibid. . _chymist_, . . _confesse by teaching it_, . . _and yet may_, . . _an_, ibid. . _of_, . [transcriber's note: line ] _distinct tasts_, . . _talck_, . . _earth_, . . _parts_, . . _sal-petræ_, . . after _it_ put in _sal_. * * * * * _the publisher doth advertise the redaer [transcriber's note: reader], that seeing there are divers experiments related in this treatise, which the author is not unwilling to submit to the consideration also of forraign philosophers, he believes this piece will be very soon translated into latin._ end. note: project gutenberg also has an html version of this file which includes the original illustrations. see -h.htm or -h.zip: (http://www.gutenberg.org/files/ / -h/ -h.htm) or (http://www.gutenberg.org/files/ / -h.zip) transcriber's note: page numbers enclosed by curly braces (example: { }) have been incorporated to facilitate the use of the table of contents. in chemical formulas an underscore is used to indicate that the following number enclosed by curly braces is a subscript. for example, the formula of water is indicated by h_{ }o. a carat character followed by a number enclosed by curly braces indicate an exponent. for example, ten raised to the minus th power is indicated by ^{- }. a few typographical errors have been corrected and are listed at the end of the text. the phase rule and its applications by alex. findlay, m.a., ph.d., d.sc. * * * * * text-books of physical chemistry. edited by sir william ramsay, k.c.b., f.r.s., d.sc. * * * * * stoichiometry. by sydney young, d.sc., f.r.s., professor of chemistry in the university of dublin; together with an introduction to the study of physical chemistry by sir william ramsay, k.c.b., f.r.s., editor of the series. crown vo. s. d. an introduction to the study of physical chemistry. being a general introduction to the series by sir william ramsay, k.c.b., f.r.s., d.sc. crown vo. s. net. chemical statics and dynamics, including the theories of chemical change, catalysis and explosions. by j. w. mellor, d.sc. (n.z.), b.sc. (vict.) crown vo. s. d. the phase rule and its applications. by alex. findlay, m.a., ph.d., d.sc., lecturer and demonstrator in chemistry, university of birmingham. with figures in the text. crown vo. s. spectroscopy. by e. c. c. baly, f.i.c., lecturer on spectroscopy and assistant professor of chemistry, university college, london. with illustrations. crown vo. s. d. thermochemistry. by julius thomsen, emeritus professor of chemistry in the university of copenhagen. translated by katharine a. burke, b.sc. 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[_in preparation._ longmans, green, and co. paternoster row, london new york, bombay, and calcutta * * * * * the phase rule and its applications by alex. findlay, m.a., ph.d., d.sc. lecturer on physical chemistry, university of birmingham with one hundred and thirty-four figures in the text third impression longmans, green, and co. paternoster row, london new york, bombay, and calcutta all rights reserved dedicated to francis robert japp, ll.d., f.r.s. professor of chemistry, university of aberdeen, in gratitude for early training and advice {vii} preface to the second edition. during the two years which have elapsed since the first edition of this book appeared, the study of chemical equilibria has been prosecuted with considerable activity, and valuable additions have been made to our knowledge in several departments of this subject. in view of the scope of the present work, it has been, of course, impossible to incorporate all that has been done; but several new sections have been inserted, notably those on the study of basic salts; the interpretation of cooling curves, and the determination of the composition of solid phases without analysis; the equilibria between iron, carbon monoxide, and carbon dioxide, which are of importance in connection with the processes occurring in the blast furnace; and the phase rule study of the ammonia-soda process. i have also incorporated a short section on the reciprocal salt-pair barium carbonate--potassium sulphate, which had been written for the german edition of this book by the late professor w. meyerhoffer. the section on the iron-carbon alloys, which in the first edition was somewhat unsatisfactory, has been rewritten. a. f. _september, ._ {viii} preface although we are indebted to the late professor willard gibbs for the first enunciation of the phase rule, it was not till that its practical applicability to the study of chemical equilibria was made apparent. in that year roozeboom disclosed the great generalization, which for upwards of ten years had remained hidden and unknown save to a very few, by stripping from it the garb of abstract mathematics in which it had been clothed by its first discoverer. the phase rule was thus made generally accessible; and its adoption by roozeboom as the basis of classification of the different cases of chemical equilibrium then known established its value, not only as a means of co-ordinating the large number of isolated cases of equilibrium and of giving a deeper insight into the relationships existing between the different systems, but also as a guide in the investigation of unknown systems. while the revelation of the principle embedded in the phase rule is primarily due to roozeboom, it should not be forgotten that, some years previously, van't hoff, in ignorance of the work of willard gibbs, had enunciated his "law of the incompatibility of condensed systems," which in some respects coincides with the phase rule; and it is only owing to the more general applicability of the latter that the very {ix} important generalization of van't hoff has been somewhat lost sight of. the exposition of the phase rule and its applications given in the following pages has been made entirely non-mathematical, the desire having been to explain as clearly as possible the principles underlying the phase rule, and to illustrate their application to the classification and investigation of equilibria, by means of a number of cases actually studied. while it has been sought to make the treatment sufficiently elementary to be understood by the student just commencing the study of chemical equilibria, an attempt has been made to advance his knowledge to such a stage as to enable him to study with profit the larger works on the subject, and to follow with intelligence the course of investigation in this department of physical chemistry. it is also hoped that the volume may be of use, not only to the student of physical chemistry, or of the other branches of that science, but also to the student of metallurgy and of geology, for whom an acquaintance with at least the principles of the phase rule is becoming increasingly important. in writing the following account of the phase rule, it is scarcely necessary to say that i have been greatly indebted to the larger works on chemical equilibria by ostwald ("lehrbuch"), roozeboom ("die heterogenen gleichgewichte"), and bancroft ("the phase rule"); and in the case of the first-named, to the inspiration also of personal teaching. my indebtedness to these and other authors i have indicated in the following pages. in conclusion, i would express my thanks to sir william ramsay, whose guidance and counsel have been constantly {x} at my disposal; and to my colleagues, dr. t. slater price and dr. a. mckenzie, for their friendly criticism and advice. to messrs. j. n. friend, m.sc., and w. e. s. turner, b.sc., i am also indebted for their assistance in reading the proof-sheets. a. f. _november, ._ {xi} contents page chapter i introduction general, i. homogeneous and heterogeneous equilibrium, . real and apparent equilibrium, . chapter ii the phase rule phases, . components, . degree of freedom. variability of a system, . the phase rule, . classification of systems according to the phase rule, . deduction of the phase rule, . chapter iii typical systems of one component a. _water._ equilibrium between liquid and vapour. vaporization curve, . upper limit of vaporization curve, . sublimation curve of ice, . equilibrium between ice and water. curve of fusion, . equilibrium between ice, water, and vapour. the triple point, . bivariant systems of water, . supercooled water. metastable state, . other systems of the substance water, . b. _sulphur_, . polymorphism, . sulphur, . triple point--rhombic and monoclinic sulphur and vapour. transition point, . condensed systems, . suspended transformation, . transition curve--rhombic and monoclinic sulphur, . triple point--monoclinic sulphur, liquid, and vapour. melting point of monoclinic sulphur, . triple point--rhombic and monoclinic sulphur and liquid, . triple point--rhombic sulphur, liquid, and vapour. metastable triple point, . fusion curve of rhombic sulphur, . bivariant systems, . c. _tin_, . transition point, . {xii} enantiotropy and monotropy, . d. _phosphorus_, . enantiotropy combined with monotropy, . e. _liquid crystals_, . phenomena observed, . nature of liquid crystals, . equilibrium relations in the case of liquid crystals, . chapter iv general summary triple point, . theorems of van't hoff and of le chatelier, . changes at the triple point, . triple point solid--solid--vapour, . sublimation and vaporization curves, . fusion curve--transition curve, . suspended transformation. metastable equilibria, . velocity of transformation, . law of successive reactions, . chapter v systems of two components--phenomena of dissociation different systems of two components, . phenomena of dissociation. bivariant systems, . univariant systems, . ammonia compounds of metal chlorides, . salts with water of crystallization, . efflorescence, . indefiniteness of the vapour pressure of a hydrate, . suspended transformation, . range of existence of hydrates, . constancy of vapour pressure and the formation of compounds, . measurement of the vapour pressure of hydrates, . chapter vi solutions definition, . solutions of gases in liquids, . solutions of liquids in liquids, . partial or limited miscibility, . phenol and water, . methylethylketone and water, . triethylamine and water, . general form of concentration-temperature curve, . pressure-concentration diagram, . complete miscibility, . pressure-concentration diagram, . chapter vii solutions of solids in liquids, only one of the components being volatile general, . the saturated solution, . form of the solubility curve, . a. anhydrous salt and water. {xiii} the solubility curve, . suspended transformation and supersaturation, . solubility curve at higher temperatures, . ( ) _complete miscibility of the fused components._ ice as solid phase, . cryohydrates, . changes at the quadruple point, . freezing mixtures, . ( ) _partial miscibility of the fused components._ supersaturation, . pressure-temperature diagram, . vapour pressure of solid--solution--vapour, . other univariant systems, . bivariant systems, . deliquescence, . separation of salt on evaporation, . general summary, . chapter viii solutions of solids in liquids, only one of the components being volatile b. hydrated salt and water, ( ) _the compounds formed do not have a definite melting point._ concentration-temperature diagram, . sodium sulphate and water, . suspended transformation, . dehydration by means of anhydrous sodium sulphate, . pressure-temperature diagram, . ( ) _the compounds formed have a definite melting point._ solubility curve of calcium chloride hexahydrate, . pressure-temperature diagram, . the indifferent point, . the hydrates of ferric chloride, . suspended transformation, . evaporation of solutions at constant temperature, . inevaporable solutions, . illustration, . chapter ix equilibria between two volatile components general, . iodine and chlorine, . concentration-temperature diagram, . pressure-temperature diagram, . bivariant systems, . sulphur dioxide and water, . pressure-temperature diagram, . bivariant systems, . chapter x solid solutions. mixed crystals general, . solution of gases in solids, . palladium and hydrogen, . solutions of solids in solids. mixed crystals, . formation of mixed crystals of isomorphous substances, . i. the two components can form an unbroken series of mixed crystals. (_a_) _the freezing points of all mixtures lie between the freezing points of the pure components._ examples, . melting-point curve, . (_b_) _the freezing-point curve passes through a maximum._ example, . (_c_) _the freezing-point curve passes through a minimum._ example, . fractional {xiv} crystallization of mixed crystals, . ii. the two components do not form a continuous series of mixed crystals. (_a_) _the freezing-point curve exhibits a transition point_, . example, . (_b_) _the freezing-point curve exhibits a eutectic point_, . examples, . changes in mixed crystals with the temperature, . chapter xi equilibrium between dynamic isomerides temperature-concentration diagram, . transformation of the unstable into the stable form, . examples, . _benzaldoximes_, . _acetaldehyde and paraldehyde_, . chapter xii summary.--application of the phase rule to the study of systems of two components summary of the different systems of two components, . ( ) _organic compounds_, . ( ) _optically active substances_, . examples, . transformations, . ( ) _alloys_, . iron--carbon alloys, . determination of the composition of compounds without analysis, . formation of minerals, . chapter xiii systems of three components general, . graphic representation, . chapter xiv solutions of liquids in liquids . _the three components form only one pair of partially miscible liquids_, . retrograde solubility, . the influence of temperature, . . _the three components can form two pairs of partially miscible liquids_, . . _the three components form three pairs of partially miscible liquids_, . chapter xv presence of solid phases a. the ternary eutectic point, . formation of compounds, . b. equilibria at higher temperatures. formation of double salts, . transition point, . vapour pressure. {xv} quintuple point, . solubility curves at the transition point, . decomposition of the double salt by water, . transition interval, . summary, . chapter xvi isothermal curves and the space model non-formation of double salts, . formation of double salt, . transition interval, . isothermal evaporation, . crystallization of double salt from solutions containing excess of one component, . formation of mixed crystals, . application to the characterization of racemates, . _representation in space._ space model for carnallite, . summary and numerical data, . ferric chloride--hydrogen chloride--water, . ternary systems, . the isothermal curves, . basic salts, . bi_{ }o_{ }--n_{ }o_{ }--h_{ }o, . basic mercury salts, . indirect determination of the composition of the solid phase, . chapter xvii absence of liquid phase iron, carbon monoxide, carbon dioxide, . chapter xviii systems of four components reciprocal salt-pairs. choice of components, . transition point, . formation of double salts, . transition interval, . graphic representation, . example, . ammonia-soda process, . preparation of barium nitrite, . barium carbonate and potassium sulphate, . appendix experimental determination of the transition point i. the dilatometric method, . ii. measurement of the vapour pressure, . iii. solubility measurements, . iv. thermometric method, . v. optical method, . vi. electrical methods, . name index subject index * * * * * { } the phase rule chapter i introduction general.--before proceeding to the more systematic treatment of the phase rule, it may, perhaps, be not amiss to give first a brief forecast of the nature of the subject we are about to study, in order that we may gain some idea of what the phase rule is, of the kind of problem which it enables us to solve, and of the scope of its application. it has long been known that if water is placed in a closed, exhausted space, vapour is given off and a certain pressure is created in the enclosing vessel. thus, when water is placed in the torricellian vacuum of the barometer, the mercury is depressed, and the amount of depression increases as the temperature is raised. but, although the pressure of the vapour increases as the temperature rises, its value at any given temperature is constant, no matter whether the amount of water present or the volume of the vapour is great or small; if the pressure on the vapour is altered while the temperature is maintained constant, either the water or the vapour will ultimately disappear; the former by evaporation, the latter by condensation. at any given temperature within certain limits, therefore, water and vapour can exist permanently in contact with one another--or, as it is said, be in equilibrium with one another--only when the pressure has a certain definite value. the same law of constancy of vapour pressure at a given { } temperature, quite irrespective of the volumes of liquid and vapour,[ ] holds good also in the case of alcohol, ether, benzene, and other pure liquids. it is, therefore, not unnatural to ask the question, does it hold good for all liquids? is it valid, for example, in the case of solutions? we can find the answer to these questions by studying the behaviour of a solution--say, a solution of common salt in water--when placed in the torricellian vacuum. in this case, also, it is observed that the pressure of the vapour increases as the temperature is raised, but the pressure is no longer independent of the volume; as the volume increases, the pressure slowly diminishes. if, however, solid salt is present in contact with the solution, then the pressure again becomes constant at constant temperature, even when the volume of the vapour is altered. as we see, therefore, solutions do not behave in the same way as pure liquids. moreover, on lowering the temperature of water, a point is reached at which ice begins to separate out; and if heat be now added to the system or withdrawn from it, no change will take place in the temperature or vapour pressure of the latter until either the ice or the water has disappeared.[ ] ice, water, and vapour, therefore, can be in equilibrium with one another only at one definite temperature and one definite pressure. in the case of a solution of common salt, however, we may have ice in contact with the solution at different temperatures and pressures. further, it is possible to have a solution in equilibrium not only with anhydrous salt (nacl), but also with the hydrated salt (nacl, h_{ }o), as well as with ice, and the question, therefore, arises: is it possible to state in a general manner the conditions under which such different systems can exist in equilibrium; or to obtain some insight { } into the relations which exist between pure liquids and solutions? as we shall learn, the phase rule enables us to give an answer to this question. the preceding examples belong to the class of so-called "physical" equilibria, or equilibria depending on changes in the physical state. more than a hundred years ago, however, it was shown by wenzel and berthollet that "chemical" equilibria can also exist; that chemical reactions do not always take place completely in one direction as indicated by the usual chemical equation, but that before the reacting substances are all used up the reaction ceases, and there is a condition of equilibrium between the reacting substances and the products of reaction. as an example of this, there may be taken the process of lime-burning, which depends on the fact that when calcium carbonate is heated, carbon dioxide is given off and quicklime is produced. if the carbonate is heated in a closed vessel it will be found, however, not to undergo entire decomposition. when the pressure of the carbon dioxide reaches a certain value (which is found to depend on the temperature), decomposition ceases, and calcium carbonate exists side by side with calcium oxide and carbon dioxide. moreover, at any given temperature the pressure is constant and independent of the amount of carbonate or oxide present, or of the volume of the gas; _nor does the addition of either of the products of dissociation, carbon dioxide or calcium oxide, cause any change in the equilibrium_. here, then, we see that, although there are three different substances present, and although the equilibrium is no longer due to physical, but to chemical change, it nevertheless obeys the same law as the vapour pressure of a pure volatile liquid, such as water. it might be supposed, now, that this behaviour would be shown by other dissociating substances, _e.g._ ammonium chloride. when this substance is heated it dissociates into ammonia and hydrogen chloride, and at any given temperature the pressure of these gases is constant,[ ] and is independent of the amounts of solid and gas present. so far, therefore, ammonium chloride behaves like calcium carbonate. if, however, one of the { } products of dissociation be added to the system, it is found that the pressure is no longer constant at a given temperature, but varies with the amount of gas, ammonia or hydrogen chloride, which is added. in the case of certain dissociating substances, therefore, addition of one of the products of dissociation alters the equilibrium, while in other cases it does not. with the help of the phase rule, however, a general interpretation of this difference of behaviour can be given--an interpretation which can be applied not only to the two cases cited, but to all cases of dissociation. again, it is well known that sulphur exists in two different crystalline forms, octahedral and prismatic, each of which melts at a different temperature. the problem here is, therefore, more complicated than in the case of ice, for there is now a possibility not only of one solid form, but of two different forms of the same substance existing in contact with liquid. what are the conditions under which these two forms can exist in contact with liquid, either singly or together, and under what conditions can the two solid forms exist together without the presence of liquid sulphur? to these questions an answer can also be given with the help of the phase rule. these cases are, however, comparatively simple; but when we come, for instance, to study the conditions under which solutions are formed, and especially when we inquire into the solubility relations of salts capable of forming, perhaps, a series of crystalline hydrates; and when we seek to determine the conditions under which these different forms can exist in contact with the solution, the problem becomes more complicated, and the necessity of some general guide to the elucidation of the behaviour of these different systems becomes more urgent. it is, now, to the study of such physical and chemical equilibria as those above-mentioned that the phase rule finds application; to the study, also, of the conditions regulating, for example, the formation of alloys from mixtures of the fused metals, or of the various salts of the stassfurt deposits; the behaviour of iron and carbon in the formation of steel and the { } separation of different minerals from a fused rock-mass.[ ] with the help of the phase rule we can group together into classes the large number of different isolated cases of systems in equilibrium; with its aid we are able to state, in a general manner at least, the conditions under which a system can be in equilibrium, and by its means we can gain some insight into the relations existing between different kinds of systems. homogeneous and heterogeneous equilibrium.--before passing to the consideration of this generalization, it will be well to first make mention of certain restrictions which must be placed on its treatment, and also of the limitations to which it is subject. if a system is uniform throughout its whole extent, and possesses in every part identical physical properties and chemical composition, it is called _homogeneous_. such is, for example, a solution of sodium chloride in water. an equilibrium occurring in such a homogeneous system (such as the equilibrium occurring in the formation of an ester in alcoholic solution) is called _homogeneous equilibrium_. if, however, the system consists of parts which have different physical properties, perhaps also different chemical properties, and which are marked off and separated from one another by bounding surfaces, the system is said to be _heterogeneous_. such a system is formed by ice, water, and vapour, in which the three portions, each in itself homogeneous, can be mechanically separated from one another. when equilibrium exists between different, physically distinct parts, it is known as _heterogeneous equilibrium_. it is, now, with heterogeneous equilibria, with the conditions under which a heterogeneous system can exist, that we shall deal here. further, we shall not take into account changes of equilibrium due to the action of electrical, magnetic, or capillary forces, or of gravity; but shall discuss only those which are due to changes of pressure, temperature, and volume (or concentration). real and apparent equilibrium.--in discussing equilibria, also, a distinction must be drawn between real and { } apparent equilibria. in the former case there is a state of rest which undergoes continuous change with change of the conditions (_e.g._ change of temperature or of pressure), and for which the chief criterion is that _the same condition of equilibrium is reached from whichever side it is approached_. thus in the case of a solution, if the temperature is maintained constant, the same concentration will be obtained, no matter whether we start with an unsaturated solution to which we add more solid, or with a supersaturated solution from which we allow solid to crystallize out; or, in the case of water in contact with vapour, the same vapour pressure will be obtained, no matter whether we heat the water up to the given temperature or cool it down from a higher temperature. in this case, water and vapour are in _real_ equilibrium. on the other hand, water in contact with hydrogen and oxygen at the ordinary temperature is a case only of _apparent_ equilibrium; on changing the pressure and temperature continuously within certain limits there is no continuous change observed in the relative amounts of the two gases. on heating beyond these limits there is a sudden and not a continuous change, and the system no longer regains its former condition on being cooled to the ordinary temperature. in all such cases the system may be regarded as undergoing change and as tending towards a state of true or real equilibrium, but with such slowness that no change is observed. although the case of water in contact with hydrogen and oxygen is an extreme one, it must be borne in mind that the condition of true equilibrium may not be reached instantaneously or even with measurable velocity, and in all cases it is necessary to be on one's guard against mistaking apparent (or false) for real (or true) equilibrium. the importance of this will be fully illustrated in the sequel. * * * * * { } chapter ii the phase rule although the fact that chemical reactions do not take place completely in one direction, but proceed only to a certain point and there make a halt, was known in the last quarter of the eighteenth century (wenzel, ; berthollet, ); and although the opening and subsequent decades of the following century brought many further examples of such equilibria to our knowledge, it was not until the last quarter of the nineteenth century that a theorem, general in its application and with foundations weakened by no hypothetical assumptions as to the nature or constitution of matter, was put forward by willard gibbs;[ ] a generalization which serves at once as a golden rule by which the condition of equilibrium of a system can be tested, and as a guide to the similarities and dissimilarities existing in different systems. before that time, certainly, attempts had been made to bring the different known cases of equilibria--chemical and physical--under general laws. from the very first, both wenzel[ ] and berthollet[ ] recognized the influence exercised by the _mass_ of the substances on the equilibrium of the system. it was reserved, however, for guldberg and waage, by their more general statement and mathematical treatment of the law of mass action,[ ] to inaugurate the period of quantitative study of equilibria. the law which these investigators enunciated { } served satisfactorily to summarize the conditions of equilibrium in many cases both of homogeneous and, with the help of certain assumptions and additions, of heterogeneous equilibrium. by reason, however, of the fact that it was developed on the basis of the kinetic and molecular theories, and involved, therefore, certain hypothetical assumptions as to the nature and condition of the substances taking part in the equilibrium, the law of mass action failed, as it necessarily must, when applied to those systems in which neither the number of different molecular aggregates nor the degree of their molecular complexity was known. ten years after the law of mass action was propounded by guldberg and waage, willard gibbs,[ ] professor of physics in yale university, showed how, in a perfectly general manner, free from all hypothetical assumptions as to the molecular condition of the participating substances, all cases of equilibrium could be surveyed and grouped into classes, and how similarities in the behaviour of apparently different kinds of systems, and differences in apparently similar systems, could be explained. as the basis of his theory of equilibria, gibbs adopted the laws of thermodynamics,[ ] a method of treatment which had first been employed by horstmann.[ ] in deducing the law of equilibrium, gibbs regarded a system as possessing only three independently variable factors[ ]--temperature, pressure, and the concentration of the components of the system--and he enunciated the general theorem now usually known as the _phase rule_, by which he defined the conditions of equilibrium as a relationship between the number of what are called the phases and the components of the system. phases.--before proceeding farther we shall first consider what exactly is meant by the terms _phase_ and _component_. we have already seen (p. ) that a heterogeneous system is made { } up of different portions, each in itself homogeneous, but marked off in space and separated from the other portions by bounding surfaces. these homogeneous, physically distinct and mechanically separable portions are called _phases_. thus ice, water, and vapour, are three phases of the same chemical substance--water. a phase, however, whilst it must be physically and chemically homogeneous, need not necessarily be chemically simple. thus, a gaseous mixture or a solution may form a phase; but a heterogeneous mixture of solid substances constitutes as many phases as there are substances present. thus when calcium carbonate dissociates under the influence of heat, calcium oxide and carbon dioxide are formed. there are then _two_ solid phases present, viz. calcium carbonate and oxide, and one gas phase, carbon dioxide. the _number of phases_ which can exist side by side may vary greatly in different systems. in all cases, however, there can be but one gas or vapour phase on the account of the fact that all gases are miscible with one another in all proportions. in the case of liquid and solid phases the number is indefinite, since the above property does not apply to them. the number of phases which can be formed by any given substance or group of substances also differs greatly, and in general increases with the number of participating substances. even in the case of a single substance, however, the number may be considerable; in the case of sulphur, for example, at least eight different solid phases are known (_v._ chap. iii.). it is of importance to bear in mind that equilibrium is _independent of the amounts_ of the phases present.[ ] thus it is a familiar fact that the pressure of a vapour in contact with a { } liquid (_i.e._ the pressure of the saturated vapour) is unaffected by the amounts, whether relative or absolute, of the liquid and vapour; also the amount of a substance dissolved by a liquid is independent of the amount of solid in contact with the solution. it is true that deviations from this general law occur when the amount of liquid or the size of the solid particles is reduced beyond a certain point,[ ] owing to the influence of surface energy; but we have already (p. ) excluded such cases from consideration. components.--although the conception of phases is one which is readily understood, somewhat greater difficulty is experienced when we come to consider what is meant by the term _component_; for the components of a system are not synonymous with the chemical elements or compounds present, _i.e._ with the _constituents_ of the system, although both elements and compounds may be components. by the latter term there are meant only those constituents the concentration of which can undergo _independent_ variation in the different phases, and it is only with these that we are concerned here.[ ] to understand the meaning of this term we shall consider briefly some cases with which the reader will be familiar, and at the outset it must be emphasized that the phase rule is concerned merely with those constituents which take part in the state of real equilibrium (p. ); for it is only to the final state, not to the processes by which that state is reached, that the phase rule applies. consider now the case of the system water--vapour or ice--water--vapour. the number of constituents taking part in the equilibrium here is only one, viz. the chemical substance, water. hydrogen and oxygen, the constituents of water, are not to be regarded as components, because, in the first place, they are { } not present in the system in a state of real equilibrium (p. ); in the second place, they are combined in definite proportions to form water, and their amounts, therefore, cannot be varied independently. a variation in the amount of hydrogen necessitates a definite variation in the amount of oxygen. in the case, already referred to, in which hydrogen and oxygen are present along with water at the ordinary temperature, we are not dealing with a condition of true equilibrium. if, however, the temperature is raised to a certain point, a state of true equilibrium between hydrogen, oxygen, and water-vapour will be possible. in this case hydrogen and oxygen will be components, because now they do take part in the equilibrium; also, they need no longer be present in definite proportions, but excess of one or the other may be added. of course, if the restriction be arbitrarily made that the free hydrogen and oxygen shall be present always and only in the proportions in which they are combined to form water, there will be, as before, only one component, water. from this, then, we see that a change in the conditions of the experiment (in the present case a rise of temperature) may necessitate a change in the number of the components. it is, however, only in the case of systems of more than one component that any difficulty will be found; for only in this case will a choice of components be possible. take, for instance, the dissociation of calcium carbonate into calcium oxide and carbon dioxide. at each temperature, as we have seen, there is a definite state of equilibrium. when equilibrium has been established, there are three different substances present--calcium carbonate, calcium oxide, and carbon dioxide; and these are the constituents of the system between which equilibrium exists. now, although these constituents take part in the equilibrium, they are not all to be regarded as components, for they are not mutually independent. on the contrary, the different phases are related to one another, and if two of these are taken, the composition of the third is defined by the equation caco_{ } = cao + co_{ } { } now, in deciding the number of components in any given system, not only must the constituents chosen be capable of independent variation, but a further restriction is imposed, and we obtain the following rule: _as the components of a system there are to be chosen the_ smallest number _of independently variable constituents by means of which the composition of each phase participating in the state of equilibrium can be expressed in the form of a chemical equation._ applying this rule to the case under consideration, we see that of the three constituents present when the system is in a state of equilibrium, only two, as already stated, are independently variable. it will further be seen that in order to express the composition of each phase present, two of these constituents are necessary. the system is, therefore, one of _two components_, or a system of the second order. when, now, we proceed to the actual choice of components, it is evident that any two of the constituents can be selected. thus, if we choose as components caco_{ } and cao, the composition of each phase can be expressed by the following equations:-- caco_{ } = caco_{ } + cao cao = cao + caco_{ } co_{ } = caco_{ } - cao as we see, then, both zero and negative quantities of the components have been introduced; and similar expressions would be obtained if caco_{ } and co_{ } were chosen as components. the matter can, however, be simplified and the use of negative quantities avoided if cao and co_{ } are chosen; and it is, therefore, customary to select these as the components. while it is possible in the case of systems of the second order to choose the two components in such a way that the composition of each phase can be expressed by positive quantities of these, such a choice is not always possible when dealing with systems of a higher order (containing three or four components). from the example which has just been discussed, it might { } appear as if the choice of the components was rather arbitrary. on examining the point, however, it will be seen that the arbitrariness affects only the _nature_, not the _number_, of the components; a choice could be made with respect to which, not to how many, constituents were to be regarded as components. as we shall see presently, however, it is only the number, not the nature of the components that is of importance. after the discussion of the conditions which the substances chosen as components must satisfy, another method may be given by which the number of components present in a system can be determined. suppose a system consisting of several phases in equilibrium, and the composition of each phase determined by analysis. if each phase present, regarded as a whole, has the same composition, the system contains only one component, or is of the first order. if two phases must be mixed in suitable quantities in order that the composition of a third phase may be obtained, the system is one of two components or of the second order; and if three phases are necessary to give the composition of a fourth coexisting phase, the system is one of three components, or of the third order.[ ] although the examples to be considered in the sequel will afford sufficient illustration of the application of the rules given above, one case may perhaps be discussed to show the application of the method just given for determining the number of components. consider the system consisting of glauber's salt in equilibrium with solution and vapour. if these three phases are analyzed, the composition of the solid will be expressed by na_{ }so_{ }, h_{ }o; that of the solution by na_{ }so_{ } + _x_h_{ }o, while the vapour phase will be h_{ }o. the system evidently cannot be a one-component system, for the phases have not all the same composition. by varying the amounts of two phases, however (_e.g._ na_{ }so_{ }, h_{ }o and h_{ }o), the composition of the third phase--the solution--can be obtained. the system is, therefore, one of _two components_. but sodium sulphate can also exist in the anhydrous form and as the hydrate na_{ }so_{ }, h_{ }o. in these cases there may { } be chosen as components na_{ }so_{ } and h_{ }o, and na_{ }so_{ }, h_{ }o and h_{ }o respectively. in both cases, therefore, there are two components. but the two systems (na_{ }so_{ }, h_{ }o--h_{ }o, and na_{ }so_{ }, h_{ }o--h_{ }o) can be regarded as special cases of the system na_{ }so_{ }--h_{ }o, and these two components will apply to all systems made up of sodium sulphate and water, no matter whether the solid phase is anhydrous salt or one of the hydrates. in all three cases, of course, the _number_ of components is the same; but by choosing na_{ }so_{ } and h_{ }o as components, the possible occurrence of negative quantities of components in expressing the composition of the phases is avoided; and, further, these components apply over a much larger range of experimental conditions. again, therefore, we see that, although the number of the components of a system is definite, a certain amount of liberty is allowed in the choice of the substances; and we also see that the choice will be influenced by the conditions of experiment. summing up, now, we may say-- ( ) the components are to be chosen from among the constituents which are present when the system is in a state of true equilibrium, and which take part in that equilibrium. ( ) as components are to be chosen the _smallest number_ of such constituents necessary to express the composition of each phase participating in the equilibrium, zero and negative quantities of the components being permissible. ( ) in any given system the _number_ of the components is definite, but may alter with alteration of the conditions of experiment. a certain freedom of choice, however, is allowed in the (qualitative, not quantitative) selection of the components, the choice being influenced by considerations of simplicity, suitability, or generality of application.[ ] degree of freedom. variability of a system.--it is well known that in dealing with a certain mass of gas or vapour, _e.g._ water vapour, if only one of the independently variable factors--temperature, pressure, and concentration (or volume)--is fixed, the state of the gas or vapour is undefined; while occupying the same volume (the concentration, therefore, remaining { } unchanged), the temperature and the pressure may be altered; at a given temperature, a gas can exist under different pressures and occupy different volumes, and under any given pressure the temperature and volume may vary. if, however, two of the factors are arbitrarily fixed, then the third factor can only have a certain definite value; at any given values of temperature and pressure a given mass of gas can occupy only a definite volume. suppose, however, that the system consists of water in contact with vapour. the condition of the system then becomes perfectly defined on arbitrarily giving one of the variables a certain value. if the temperature is fixed, the pressure under which water and water vapour can coexist is also determined; and conversely, if a definite pressure is chosen, the temperature is also defined. water and vapour can coexist under a given pressure only at a definite temperature. finally, let the water and vapour be cooled down until ice begins to separate out. so soon as the third phase, ice, appears, the state of the system as regards temperature and pressure of the vapour is perfectly defined, and none of the variables can be arbitrarily changed without causing the disappearance of one of the phases, ice, water, or vapour. we see, therefore, that in the case of some systems two, in other cases, only one of the independent variables (temperature, pressure, concentration) can be altered without destroying the nature of the system; while in other systems, again, these variables have all fixed and definite values. we shall therefore define the number of degrees of freedom[ ] of a system as the _number of the variable factors, temperature, pressure, and concentration of the components, which must be arbitrarily fixed in order that the condition of the system may be perfectly defined_. from what has been said, therefore, we shall describe a gas or vapour as having two degrees of freedom; the system water--vapour as having only one; and the system ice--water--vapour as having no degrees of freedom. we may also speak of the { } _variability_ or _variance_ of a system, and describe a system as being invariant, univariant, bivariant, multivariant,[ ] according as the number of degrees of freedom is nought, one, two, or more than two. a knowledge of its variability is, therefore, of essential importance in studying the condition and behaviour of a system, and it is the great merit of the phase rule that _the state of a system is defined entirely by the relation existing between the number of the components and the phases present_, no account being taken of the molecular complexity of the participating substances, nor any assumption made with regard to the constitution of matter. it is, further, as we see, quite immaterial whether we are dealing with "physical" or "chemical" equilibrium; in principle, indeed, no distinction need be drawn between the two classes, although it is nevertheless often convenient to make use of the terms, in spite of a certain amount of indefiniteness which attaches to them--an indefiniteness, indeed, which attaches equally to the terms "physical" and "chemical" process.[ ] the phase rule.--the phase rule of gibbs, which defines the condition of equilibrium by the relation between the number of coexisting phases and the components, may be stated as follows: a system consisting of n components can exist in _n_ + phases only when the temperature, pressure, and concentration have fixed and definite values; if there are _n_ components in _n_ + phases, equilibrium can exist while one of the factors varies, and if there are only _n_ phases, two of the varying factors may be arbitrarily fixed. this rule, the application of which, it is hoped, will become clear in the sequel, may be very concisely and conveniently summarized in the form of the equation-- p + f = c + , or f = c + - p where p denotes the number of the phases, f the degrees of freedom, and c the number of components. from the second form of the equation it can be readily seen that the greater the number of the phases, the fewer are the degrees of freedom. with increase in the number of the phases, therefore, the { } condition of the system becomes more and more defined, or less and less variable. classification of systems according to the phase rule.--we have already learned in the introductory chapter that systems which are apparently quite different in character may behave in a very similar manner. thus it was stated that the laws which govern the equilibrium between water and its vapour are quite analogous to those which are obeyed by the dissociation of calcium carbonate into carbon dioxide and calcium oxide; in each case a certain temperature is associated with a definite pressure, no matter what the relative or absolute amounts of the respective substances are. and other examples were given of systems which were apparently similar in character, but which nevertheless behaved in a different manner. the relations between the various systems, however, become perfectly clear and intelligible in the light of the phase rule. in the case first mentioned, that of water in equilibrium with its vapour, we have one component--water--present in two phases, _i.e._ in two physically distinct forms, viz. liquid and vapour. according to the phase rule, therefore, since c = , and p = , the degree of freedom f is equal to + - = ; the system possesses one degree of freedom, as has already been stated. but in the case of the second system mentioned above there are two components, viz. calcium oxide and carbon dioxide (p. ), and three phases, viz. two solid phases, cao and caco_{ }, and the gaseous phase, co_{ }. the number of degrees of freedom of the system, therefore, is + - = ; this system, therefore, also possesses one degree of freedom. we can now understand why these two systems behave in a similar manner; both are univariant, or possess only one degree of freedom. we shall therefore expect a similar behaviour in the case of all univariant systems, no matter how dissimilar the systems may outwardly appear. similarly, all bivariant systems will exhibit analogous behaviour; and generally, systems possessing the same degree of freedom will show a like behaviour. in accordance with the phase rule, therefore, we may classify the different systems which may be found into invariant, univariant, bivariant, multivariant, { } according to the relation which obtains between the number of the components and the number of coexisting phases; and we shall expect that in each case the members of any particular group will exhibit a uniform behaviour. by this means we are enabled to obtain an insight into the general behaviour of any system, so soon as we have determined the number of the components and the number of the coexisting phases. the adoption of the phase rule for the purposes of classification has been of great importance in studying changes in the equilibrium existing between different substances; for not only does it render possible the grouping together of a large number of isolated phenomena, but the guidance it affords has led to the discovery of new substances, has given the clue to the conditions under which these substances can exist, and has led to the recognition of otherwise unobserved resemblances existing between different systems. deduction of the phase rule.--in the preceding pages we have restricted ourselves to the statement of the phase rule, without giving any indication of how it has been deduced. at the close of this chapter, therefore, the mathematical deduction of the generalization will be given, but in brief outline only, the reader being referred to works on thermodynamics for a fuller treatment of the subject.[ ] all forms of energy can be resolved into two factors, the _capacity_ factor and the _intensity_ factor; but for the production of equilibrium, only the intensity factor is of importance. thus, if two bodies having the same temperature are brought in contact with each other, they will be in equilibrium as regards heat energy, no matter what may be the amounts of heat (capacity factor) contained in either, because the intensity factor--the temperature--is the same. but if the temperature of the two bodies is different, _i.e._ if the intensity factor of heat energy is different, the two bodies will no longer be in equilibrium; but heat will pass from the hotter to the colder until both have the same temperature. as with heat energy, so with chemical energy. if we have a substance existing in two different states, or in two different { } phases of a system, equilibrium can occur only when the intensity factor of chemical energy is the same. this intensity factor may be called the _chemical potential_; and we can therefore say that a system will be in equilibrium when the chemical potential of each component is the same in all the phases in which the component occurs. thus, for example, ice, water, and vapour have, at the triple point, the same chemical potential. the potential of a component in any phase depends not only on the composition of the phase, but also on the temperature and the pressure (or volume). if, therefore, we have a system of c components existing in p phases, then, in order to fix the composition of unit mass of each phase, it is necessary to know the masses of (c - ) components in each of the phases. as regards the composition, therefore, each phase possesses (c - ) variables. since there are p phases, it follows that, as regards composition, the whole system possesses p(c - ) variables. besides these there are, however, two other variables, viz. temperature and pressure, so that altogether a system of c components in p phases possesses p(c - ) + variables. in order to define the state of the system completely, it will be necessary to have as many equations as there are variables. if, therefore, there are fewer equations than there are variables, then, according to the deficiency in the number of the equations, one or more of the variables will have an undefined value; and values must be assigned to these variables before the system is entirely defined. the number of these undefined values gives us the variability or the degree of freedom of the system. the equations by which the system is to be defined are obtained from the relationship between the potential of a component and the composition of the phase, the temperature and the pressure. further, as has already been stated, equilibrium occurs when the potential of each component is the same in the different phases in which it is present. if, therefore, we choose as standard one of the phases in which all the components occur, then in any other phase in equilibrium with { } it, the potential of each component must be the same as in the standard phase. for each phase in equilibrium with the standard phase, therefore, there will be a definite equation of state for each component in the phase; so that, if there are p phases, we obtain for each component (p - ) equations; and for c components, therefore, we obtain c(p - ) equations. but we have seen above that there are p(c - ) + variables, and as we have only c(p - ) equations, there must be p(c - ) + - c(p - ) = c + - p variables undefined. that is to say, the degree of freedom (f) of a system consisting of c components in p phases is-- f = c + - p * * * * * { } chapter iii typical systems of one component a. _water._ for the sake of rendering the phase rule more readily intelligible, and at the same time also for the purpose of obtaining examples by which we may illustrate the general behaviour of systems, we shall in this chapter examine in detail the behaviour of several well-known systems consisting of only one component. the most familiar examples of equilibria in a one-component system are those furnished by the three phases of water, viz. ice, water, water vapour. the system consists of one component, because all three phases have the same chemical composition, represented by the formula h_{ }o. as the criterion of equilibrium we shall choose a definite pressure, and shall study the variation of the pressure with the temperature; and for the purpose of representing the relationships which we obtain we shall employ a temperature-pressure diagram, in which the temperatures are measured as abscissæ and the pressures as ordinates. in such a diagram invariant systems will be represented by points; univariant systems by lines, and bivariant systems by areas. equilibrium between liquid and vapour. vaporization curve.--consider in the first place the conditions for the coexistence of liquid and vapour. according to the phase rule (p. ), a system consisting of one component in two phases has one degree of freedom, or is univariant. we should therefore expect that it will be possible for liquid water to coexist with water vapour at different values of temperature and { } pressure, but that if we arbitrarily fix one of the variable factors, pressure, temperature, or volume (in the case of a given mass of substance), the state of the system will then be defined. if we fix, say, the temperature, then the pressure will have a definite value; or if we adopt a certain pressure, the liquid and vapour can coexist only at a certain definite temperature. each temperature, therefore, will correspond to a definite pressure; and if in our diagram we join by a continuous line all the points indicating the values of the pressure corresponding to the different temperatures, we shall obtain a curve (fig. ) representing the variation of the pressure with the temperature. this is the curve of vapour pressure, or the _vaporization curve_ of water. [illustration: fig. .] now, the results of experiment are quite in agreement with the requirements of the phase rule, and at any given temperature the system water--vapour can exist in equilibrium only under a definite pressure. the vapour pressure of water at different temperatures has been subjected to careful measurement by magnus,[ ] regnault,[ ] ramsay and young,[ ] juhlin,[ ] thiesen and scheel,[ ] and others. in the following table the values of the vapour pressure from - ° to + ° are those calculated from the measurements of regnault, corrected by the measurements of wiebe and thiesen and scheel;[ ] those from ° to ° were determined { } by ramsay and young, while the values of the critical pressure and temperature are those determined by battelli.[ ] vapour pressure of water. -------------+-----------------+--------------+-------------------- | | | temperature. | pressure in cm. | temperature. | pressure in cm. | mercury. | | mercury. -------------+-----------------+--------------+-------------------- | | | - ° | . | ° | . ° | . [ ] | ° | . + ° | . | ° | . ° | . | ° | . ° | . | ° | . ° | . | ° | . ° | . | . ° | . ( . atm.) | | (critical | (critical pressure). | | temperature) | -------------+-----------------+--------------+-------------------- the pressure is, of course, independent of the relative or absolute volumes of the liquid and vapour; on increasing the volume at constant temperature, a certain amount of the liquid will pass into vapour, and the pressure will regain its former value. if, however, the pressure be permanently maintained at a value different from that corresponding to the temperature employed, then either all the liquid will pass into vapour, or all the vapour will pass into liquid, and we shall have either vapour alone or liquid alone. upper limit of vaporization curve.--on continuing to add heat to water contained in a closed vessel, the pressure of the vapour will gradually increase. since with increase of pressure the density of the vapour must increase, and since with rise of temperature the density of the liquid must decrease, a point will be reached at which the density of liquid and vapour become identical; the system ceases to be heterogeneous, and passes into one homogeneous phase. the temperature at which this occurs is called the _critical temperature_. to this temperature there will, of course, correspond a certain definite pressure, called the _critical pressure_. the curve representing the { } equilibrium between liquid and vapour must, therefore, end abruptly at the critical point. at temperatures above this point no pressure, however great, can cause the formation of the liquid phase; at temperatures above the critical point the vapour becomes a gas. in the case of water, the critical temperature is . °, and the critical pressure . atm.; at the point representing these conditions the vapour-pressure curve of water must cease. sublimation curve of ice.--vapour is given off not only by liquid water, but also by solid water, or ice. that this is so is familiar to every one through the fact that ice or snow, even at temperatures below the melting point, gradually disappears in the form of vapour. even at temperatures considerably lower than °, the vapour pressure of ice, although small, is quite appreciable; and it is possible, therefore, to have ice and vapour coexisting in equilibrium. when we inquire into the conditions under which such a system can exist, we see again that we are dealing with a univariant system--one component existing in two phases--and that, therefore, just as in the case of the system water and vapour, there will be for each temperature a certain definite pressure of the vapour, and this pressure will be independent of the relative or absolute amounts of the solid or vapour present, and will depend solely on the temperature. further, just as in the case of the vapour pressure of water, the condition of equilibrium between ice and water vapour will be represented by a line or curve showing the change of pressure with the temperature. such a curve, representing the conditions of equilibrium between a solid and its vapour, is called a _sublimation curve_. at temperatures represented by any point on this curve, the solid (ice) will sublime or pass into vapour without previously fusing. since ice melts at ° (_vide infra_), the sublimation curve must end at that temperature. the following are the values of the vapour pressure of ice between ° and - °.[ ] { } vapour pressure of ice. --------------------------------------------------------------- temperature. | pressure in mm. | temperature. | pressure in mm. | mercury. | | mercury. -------------+-----------------+--------------+---------------- - ° | . | - ° | . - ° | . | - ° | . - ° | . | - ° | . - ° | . | - ° | . - ° | . | ° | . - ° | . | | ---------------------------------------------------------------- equilibrium between ice and water. curve of fusion.--there is still another univariant system of the one component water, the existence of which, at definite values of temperature and pressure, the phase rule allows us to predict. this is the system solid--liquid. ice on being heated to a certain temperature melts and passes into the liquid state; and since this system solid--liquid is univariant, there will be for each temperature a certain definite pressure at which ice and water can coexist or be in equilibrium, independently of the amounts of the two phases present. since now the temperature at which the solid phase is in equilibrium with the liquid phase is known as the melting point or point of fusion of the solid, the curve representing the temperatures and pressures at which the solid and liquid are in equilibrium will represent the change of the melting point with the pressure. such a curve is called the _curve of fusion_, or the melting-point curve. it was not until the middle of the nineteenth century that this connection between the pressure and the melting point, or the change of the melting point with the pressure, was observed. the first to recognize the existence of such a relationship was james thomson,[ ] who in showed that from theoretical considerations such a relationship must exist, and predicted that in the case of ice the melting point would be lowered by pressure. this prediction was fully confirmed by his brother, w. thomson[ ] (lord kelvin), who found that under a pressure { } of . atm. the melting point of ice was - . °; under a pressure of . atm. the melting point was - . °. the experiments which were first made in this connection were more of a qualitative nature, but in recent years careful measurements of the influence of pressure on the melting point of ice have been made more especially by tammann,[ ] and the results obtained by him are given in the following table and represented graphically in fig. . fusion pressure of ice. --------------------------------------------------------------------- | pressure in kilogms. per | change of melting point for temperature. | sq. cm.[ ] | an increase of pressure of | | kilogm. per sq. cm. --------------------------------------------------------------------- - ° | | - . ° | | . ° - ° | | . ° - . ° | | . ° - . ° | | . ° - . ° | | . ° - . ° | | . ° - . ° | | . ° - . ° | | . ° - . ° | | . ° --------------------------------------------------------------------- from the numbers in the table and from the figure we see that as the pressure is increased the melting point of ice is lowered; but we also observe that a very large change of pressure is required in order to produce a very small change in the melting point. the curve, therefore, is very steep. increase of pressure by one atmosphere lowers the melting point by only . °,[ ] or an increase of pressure of atm. is required to produce a lowering of the melting point of °. we see further that the fusion curve bends slightly as the pressure is increased, which signifies that the variation of { } the melting point with the pressure changes; at - °, when the pressure is kilogm. per sq. cm., increase of pressure by kilogm. per sq. cm. lowers the melting point by . °. this curvature of the fusion curve we shall later (chap. iv.) see to be an almost universal phenomenon. [illustration: fig. .] [illustration: fig. .] equilibrium between ice, water, and vapour. the triple point.--on examining the vapour-pressure curves of ice and water (fig. ), we see that at a temperature of about ° and under a pressure of about . mm. mercury, the two curves cut. at this point liquid water and solid ice are each in equilibrium with vapour at the same pressure. since this is so, they must, of course, be in equilibrium { } with one another, as experiment also shows. at this point, therefore, ice, water, and vapour can be in equilibrium, and as there are three phases present, the point is called a _triple point_.[ ] the triple point, however, does not lie exactly at ° c., for this temperature is defined as the melting point of ice under atmospheric pressure. at the triple point, however, the pressure is equal to the vapour pressure of ice and water, and this pressure, as we see from the tables on pp. and , is very nearly . mm., or almost atm. less than in the previous case. now, we have just seen that a change of pressure of atm. corresponds to a change of the melting point of . °; the melting point of ice, therefore, when under the pressure of its own vapour, will be very nearly + . °, and the pressure of the vapour will be very slightly greater than . mm., which is the pressure at ° (p. ). the difference is, however, slight, and may be neglected here. at the temperature, then, of + . °, and under a pressure of . mm. of mercury, ice, water, and vapour will be in equilibrium; the point in our diagram representing this particular temperature and pressure is, therefore, the triple point of the system ice--water--vapour. since at the triple point we have three phases of one component, the system at this point is invariant--it possesses no degrees of freedom. if the temperature is changed, the system will undergo alteration in such a way that one of the phases will disappear, and a univariant system will result; if heat be added, ice will melt, and we shall have left water and vapour; if heat be abstracted, water will freeze, and we shall have left ice and vapour; if, when the temperature is altered, the pressure is kept constant, then we shall ultimately obtain only one phase (see chap. iv.). the triple point is not only the point of intersection of the vaporization and sublimation curves, but it is also the end-point of the fusion curve. the fusion curve, as we have seen, is the curve of equilibrium between ice and water; and since at the triple point ice and water are each in equilibrium with { } vapour of the same pressure, they must, of course, also be in equilibrium with one another. [illustration: fig. .] bivariant systems of water.--if we examine fig. , we see that the curves oa, ob, oc, which represent diagrammatically the conditions under which water and vapour, ice and vapour, and water and ice are in equilibrium, form the boundaries of three "fields," or areas, i., ii., iii. these areas, now, represent the conditions for the existence of the single phases, solid, liquid, and vapour respectively. at temperatures and pressures represented by any point in the field i., solid only can exist as a stable phase. since we have here one component in only one phase, the system is bivariant, and at any given temperature, therefore, ice can exist under a series of pressures; and under any given pressure, at a series of temperatures, these pressures and temperatures being limited only by the curves ob, oc. similarly also with the areas ii. and iii. we see, further, that the different areas are the regions of stability of the phase common to the two curves by which the area is enclosed.[ ] thus, the phase common to the two systems { } represented by bo (ice and vapour), and oa (water and vapour) is the vapour phase; and the area boa is therefore the area of the vapour phase. similarly, boc is the area of the ice phase, and coa the area of the water phase. supercooled water. metastable state.--when heated under the ordinary atmospheric pressure, ice melts when the temperature reaches °, and it has so far not been found possible to raise the temperature of ice above this point without liquefaction taking place. on the other hand, it has long been known that water can be cooled below zero without solidification occurring. this was first discovered in by fahrenheit,[ ] who found that water could be exposed to a temperature of - . ° without solidifying; so soon, however, as a small particle of ice was brought in contact with the water, crystallization commenced. superfused or supercooled water--_i.e._ water cooled below °--is unstable only in respect of the solid phase; so long as the presence of the solid phase is carefully avoided, the water can be kept for any length of time without solidifying, and the system supercooled water and vapour behaves in every way like a stable system. a system, now, which in itself is stable, and which becomes instable only in contact with a particular phase, is said to be _metastable_, and the region throughout which this condition exists is called the metastable region. supercooled water, therefore, is in a metastable condition. if the supercooling be carried below a certain temperature, solidification takes place spontaneously without the addition of the solid phase; the system then ceases to be metastable, and becomes _instable_. not only has water been cooled to temperatures considerably below the melting point of ice, but the vapour pressure of the supercooled water has been measured. it is of interest and importance, now, to see what relationship exists between the vapour pressure of ice and that of supercooled water at the same temperature. this relationship is clearly shown by the numbers in the following table,[ ] and is represented in fig. , { } p. ., and diagrammatically in fig. , the vapour pressures of supercooled water being represented by the curve oa', which is the unbroken continuation of ao. vapour pressure of ice and of supercooled water. --------------------------------------------------------------------- | pressure in mm. mercury. ------------------------------------------------------ temperature. | | | | water. | ice. | difference. --------------------------------------------------------------------- ° | . | . | . [ ] - ° | . | . | . - ° | . | . | . - ° | . | . | . - ° | . | . | . - ° | . | . | . - ° | . | . | . --------------------------------------------------------------------- at all temperatures below ° (more correctly + . °), at which temperature water and ice have the same vapour pressure, the vapour pressure of supercooled water is _greater_ than that of ice at the same temperature. from the relative positions of the curves ob and oa (fig. ) we see that at all temperatures above °, the (metastable) sublimation curve of ice, if it could be obtained, would be higher than the vaporization curve of water. this shows, therefore, that at ° a "break" must occur in the curve of states, and that in the neighbourhood of this break the curve above that point must ascend less rapidly than the curve below the break. since, however, the differences in the vapour pressures of supercooled water and of ice are very small, the change in the direction of the vapour-pressure curve on passing from ice to water was at first not observed, and regnault regarded the sublimation curve as passing continuously into { } the vaporization curve. the existence of a break was, however, shown by james thomson[ ] and by kirchhoff[ ] to be demanded by thermo-dynamical considerations, and the prediction of theory was afterwards realized experimentally by ramsay and young in their determinations of the vapour pressure of water and ice, as well as in the case of other substances.[ ] from what has just been said, we can readily understand why ice and water cannot exist in equilibrium below °. for, suppose we have ice and water in the same closed space, but not in contact with one another, then since the vapour pressure of the supercooled water is higher than that of ice, the vapour of the former must be supersaturated in contact with the latter; vapour must, therefore, condense on the ice; and in this way there will be a slow distillation from the water to the ice, until at last all the water will have disappeared, and only ice and vapour remain.[ ] other systems of the substance water.--we have thus far discussed only those systems which are constituted by the three phases--ice, water, and water vapour. it has, however, been recently found that at a low temperature and under a high pressure ordinary ice can pass into two other crystalline varieties, called by tammann[ ] ice ii. and ice iii., ordinary ice being ice i. according to the phase rule, now, since each of these solid forms constitutes a separate phase (p. ), it will be possible to have the following (and more) systems of water, in addition to those already studied, viz. water, ice i., ice ii.; water, ice i., ice iii.; water, ice ii., ice iii., forming invariant systems and existing in equilibrium only at a definite triple point; further, water, ice ii.; water, ice iii.; ice i., ice ii.; ice i., ice iii.; ice ii., ice iii., forming univariant systems, existing, therefore, at definite corresponding values of { } temperature and pressure; and lastly, the bivariant systems, ice ii. and ice iii. several of these systems have been investigated by tammann. the triple point for water, ice i., ice iii., lies at - °, and a pressure of kilogms. per sq. cm. ( atm.), as indicated in fig. , p. .[ ] in contrast with the behaviour of ordinary ice, the temperature of equilibrium in the case of water--ice ii., and water--ice iii., is _raised_ by increase of pressure. b. _sulphur._ polymorphism.--reference has just been made to the fact that ice can exist not only in the ordinary form, but in at least two other crystalline varieties. this phenomenon, the existence of a substance in two or more different crystalline forms, is called _polymorphism_. polymorphism was first observed by mitscherlich[ ] in the case of sodium phosphate, and later in the case of sulphur. to these two cases others were soon added, at first of inorganic, and later of organic substances, so that polymorphism is now recognized as of very frequent occurrence indeed.[ ] these various forms of a substance differ not only in crystalline shape, but also in melting point, specific gravity, and other physical properties. in the liquid state, however, the differences do not exist. according to our definition of phases (p. ), each of these polymorphic forms constitutes a separate phase of the particular substance. as is readily apparent, the number of possible systems formed of one component may be considerably increased when that component is capable of existing in different crystalline forms. we have, therefore, to inquire what are the conditions under which different polymorphic forms can coexist, either alone or in presence of the liquid and vapour phase. for the purpose of illustrating the general behaviour of such systems, we shall study the systems formed by the different crystalline forms of sulphur, tin, and benzophenone. { } sulphur exists in two well-known crystalline forms--rhombic, or octahedral, and monoclinic, or prismatic sulphur. of these, the former melts at . °; the latter at °.[ ] further, at the ordinary temperature, rhombic sulphur can exist unchanged, whereas, on being heated to temperatures somewhat below the melting point, it passes into the prismatic variety. on the other hand, at temperatures above °, prismatic sulphur can remain unchanged, whereas at the ordinary temperature it passes slowly into the rhombic form. if, now, we examine the case of sulphur with the help of the phase rule, we see that the following systems are theoretically possible:-- i. _bivariant systems: one component in one phase._ (_a_) rhombic sulphur. (_b_) monoclinic sulphur. (_c_) sulphur vapour. (_d_) liquid sulphur. ii. _univariant systems: one component in two phases._ (_a_) rhombic sulphur and vapour. (_b_) monoclinic sulphur and vapour. (_c_) rhombic sulphur and liquid. (_d_) monoclinic sulphur and liquid. (_e_) rhombic and monoclinic sulphur. (_f_) liquid and vapour. iii. _invariant systems: one component in three phases._ (_a_) rhombic and monoclinic sulphur and vapour. (_b_) rhombic sulphur, liquid and vapour. (_c_) monoclinic sulphur, liquid and vapour. (_d_) rhombic and monoclinic sulphur and liquid. [illustration: fig. .] triple point--rhombic and monoclinic sulphur and vapour. transition point.--in the case of ice, water and vapour, we saw that at the triple point the vapour pressures of ice and water are equal; below this point, ice is stable; above this point, water is stable. we saw, further, that below ° the vapour pressure of the stable system is lower than that of the metastable, and therefore that at the triple point there is a break in the vapour pressure curve of such a kind that above { } the triple point the vapour-pressure curve ascends more slowly than below it. now, although the vapour pressure of solid sulphur has not been determined, we can nevertheless consider that it does possess a certain, even if very small, vapour pressure,[ ] and that at the temperature at which the vapour pressures of rhombic and monoclinic sulphur become equal, we can have these two solid forms existing in equilibrium with the vapour. below that point only one form, that with the lower vapour pressure, will be stable; above that point only the other form will be stable. on passing through the triple point, therefore, there will be a change of the one form into the other. this point is represented in our diagram (fig. ) by the point o, the two curves ao and ob representing diagrammatically the vapour pressures of rhombic and monoclinic sulphur respectively. if the vapour phase is absent and the system maintained under a constant pressure, _e.g._ { } atmospheric pressure, there will also be a definite temperature at which the two solid forms are in equilibrium, and on passing through which complete and reversible transformation of one form into the other occurs. this temperature, which refers to equilibrium in absence of the vapour phase, is known as the _transition temperature_ or _inversion temperature_. were we dependent on measurements of pressure and temperature, the determination of the transition point might be a matter of great difficulty. when we consider, however, that the other physical properties of the solid phases, _e.g._ the density, undergo an abrupt change on passing through the transition point, owing to the transformation of one form into the other, then any method by which this abrupt change in the physical properties can be detected may be employed for determining the transition point. a considerable number of such methods have been devised, and a description of the most important of these is given in the appendix. in the case of sulphur, the transition point of rhombic into monoclinic sulphur was found by reicher[ ] to lie at . °. below this temperature the octahedral, above it the monoclinic, is the stable form. condensed systems.--we have already seen that in the change of the melting point of water with the pressure, a very great increase of the latter was necessary in order to produce a comparatively small change in the temperature of equilibrium. this is a characteristic of all systems from which the vapour phase is absent, and which are composed only of solid and liquid phases. such systems are called _condensed systems_,[ ] and in determining the temperature of equilibrium of such systems, practically the same point will be obtained whether the measurements are carried out under atmospheric pressure or under the pressure of the vapour of the solid or liquid phases. the transition point, therefore, as determined in open vessels at atmospheric pressure, will differ only by a very slight amount from the triple point, or point at which the two solid or liquid phases are in equilibrium under the pressure of their vapour. { } the determination of the transition point is thereby greatly simplified. suspended transformation.--in many respects the transition point of two solid phases is analogous to the melting point of a solid, or point at which the solid passes into a liquid. in both cases the change of phase is associated with a definite temperature and pressure in such a way that below the point the one phase, above the point the other phase, is stable. the transition point, however, differs in so far from a point of fusion, that while it is possible to supercool a liquid, no definite case is known where the solid has been heated above the triple point without passing into the liquid state. transformation, therefore, is suspended only on one side of the melting point. in the case of two solid phases, however, the transition point can be overstepped in both directions, so that each phase can be obtained in the metastable condition. in the case of supercooled water, further, we saw that the introduction of the stable, solid phase caused the speedy transformation of the metastable to the stable condition of equilibrium; but in the case of two solid phases the change from the metastable to the stable modification may occur with great slowness, even in presence of the stable form. this tardiness with which the stable condition of equilibrium is reached greatly increases in many cases the difficulty of accurately determining the transition point. the phenomena of suspended transformation will, however, receive a fuller discussion later (p. ). transition curve--rhombic and monoclinic sulphur.--just as we found the melting point of ice to vary with the pressure, so also do we find that change of pressure causes an alteration in the transition point. in the case of the transition point of rhombic into monoclinic sulphur, increase of pressure by atm. raises the transition point by . °- . °.[ ] the transition curve, or curve representing the change of the transition point with pressure, will therefore slope to the right away from the pressure axis. this is curve oc (fig. ). { } triple point--monoclinic sulphur, liquid, and vapour. melting point of monoclinic sulphur.--above . °, monoclinic sulphur is, as we have seen, the stable form. on being heated to °, under atmospheric pressure, it melts. this temperature is, therefore, the point of equilibrium between monoclinic sulphur and liquid sulphur under atmospheric pressure. since we are dealing with a condensed system, this temperature may be regarded as very nearly that at which the solid and liquid are in equilibrium with their vapour, _i.e._ the triple point, solid (monoclinic)--liquid--vapour. this point is represented in the diagram by b. triple point--rhombic and monoclinic sulphur and liquid.--in contrast with that of ice, the fusion point of monoclinic sulphur is _raised_ by increase of pressure, and the fusion curve, therefore, slopes to the right. the transition curve of rhombic and monoclinic sulphur, as we have seen, also slopes to the right, and more so than the fusion curve of monoclinic sulphur. there will, therefore, be a certain pressure and temperature at which the two curves will cut. this point lies at °, and a pressure of kilogm. per sq. cm., or about atm.[ ] it, therefore, forms another triple point, the existence of which had been predicted by roozeboom,[ ] at which rhombic and monoclinic sulphur are in equilibrium with liquid sulphur. it is represented in our diagram by the point c. _beyond this point monoclinic sulphur ceases to exist in a stable condition._ at temperatures and pressures above this triple point, rhombic sulphur will be the stable modification, and this fact is of mineralogical interest, because it explains the occurrence in nature of well-formed rhombic crystals. under ordinary conditions, prismatic sulphur separates out on cooling fused sulphur, but at temperatures above ° and under pressures greater than atm., the rhombic form would be produced.[ ] triple point--rhombic sulphur, liquid, and vapour. metastable triple point.--on account of the slowness with { } which transformation of one form into the other takes place on passing the transition point, it has been found possible to heat rhombic sulphur up to its melting point ( . °). at this temperature, not only is rhombic sulphur in a metastable condition, but the liquid is also metastable, its vapour pressure being greater than that of solid monoclinic sulphur. this point is represented in our diagram by the point b. from the relative positions of the metastable melting point of rhombic sulphur and the stable melting point of monoclinic sulphur at °, we see that, of the two forms, the metastable form has the lower melting point. this, of course, is valid only for the relative stability in the neighbourhood of the melting point; for we have already learned that at lower temperatures rhombic sulphur is the stable, monoclinic sulphur the metastable (or unstable) form. fusion curve of rhombic sulphur.--like any other melting point, that of rhombic sulphur will be displaced by increase of pressure; increase of pressure raises the melting point, and we can therefore obtain a metastable fusion curve representing the conditions under which rhombic sulphur is in equilibrium with liquid sulphur. this metastable fusion curve must pass through the triple point for rhombic sulphur--monoclinic sulphur--liquid sulphur, and on passing this point it becomes a stable fusion curve. the continuation of this curve, therefore, above ° forms the stable fusion curve of rhombic sulphur (curve cd). these curves have been investigated at high pressures by tammann, and the results are represented according to scale in fig. ,[ ] _a_ being the curve for monoclinic sulphur and liquid; _b_, that for rhombic sulphur and liquid; and _c_, that for rhombic and monoclinic sulphur. bivariant systems.--just as in the case of the diagram of states of water, the areas in fig. represent the conditions for the stable existence of the single phases: rhombic sulphur in the area to the left of aocd; monoclinic sulphur in the area obc; liquid sulphur in the area ebcd; sulphur vapour below the curves aobe. as can be seen from the diagram, { } the existence of monoclinic sulphur is limited on all sides, its area being bounded by the curves ob, oc, bc. at any point outside this area, monoclinic sulphur can exist only in a metastable condition. [illustration: fig. .] other crystalline forms of sulphur have been obtained,[ ] so that the existence of other systems of the one-component sulphur besides those already described is possible. reference will be made to these later (p. ). { } c. _tin._ another substance capable of existing in more than one crystalline form, is the metal tin, and although the general behaviour, so far as studied, is analogous to that of sulphur, a short account of the two varieties of tin may be given here, not only on account of their metallurgical interest, but also on account of the importance which the phenomena possess for the employment of this metal in everyday life. after a winter of extreme severity in russia ( - ), the somewhat unpleasant discovery was made that a number of blocks of tin, which had been stored in the customs house at st. petersburg, had undergone disintegration and crumbled to a grey powder.[ ] that tin undergoes change on exposure to extreme cold was known, however, before that time, even as far back as the time of aristotle, who spoke of the tin as "melting."[ ] ludicrous as that term may now appear, aristotle nevertheless unconsciously employed a strikingly accurate analogy, for the conditions under which ordinary white tin passes into the grey modification are, in many ways, quite analogous to those under which a substance passes from the solid to the liquid state. the knowledge of this was, however, beyond the wisdom of the greek philosopher. for many years there existed considerable confusion both as to the conditions under which the transformation of white tin into its allotropic modification occurs, and to the reason of the change. under the guidance of the phase rule, however, the confusion which obtained has been cleared away, and the "mysterious" behaviour of tin brought into accord with other phenomena of transformation.[ ] transition point.--just as in the case of sulphur, so also in the case of tin, there is a transition point above which the { } one form, ordinary white tin, and below which the other form, grey tin, is the stable variety. in the case of this metal, the transition point was found by cohen and van eyk, who employed both the dilatometric and the electrical methods (appendix) to be °. below this temperature, grey tin is the stable form. but, as we have seen in the case of sulphur, the change of the metastable into the stable solid phase occurs with considerable slowness, and this behaviour is found also in the case of tin. were it not so, we should not be able to use this metal for the many purposes to which it is applied in everyday life; for, with the exception of a comparatively small number of days in the year, the temperature of our climate is below °, and _white tin is, therefore, at the ordinary temperature, in a metastable condition_. the change, however, into the stable form at the ordinary temperature, although slow, nevertheless takes place, as is shown by the partial or entire conversion of articles of tin which have lain buried for several hundreds of years. on lowering the temperature, the velocity with which the transformation of the tin occurs is increased, and cohen and van eyk found that the temperature of maximum velocity is about - °. contact with the stable form will, of course, facilitate the transformation. the change of white tin into grey takes place also with increased velocity in presence of a solution of tin ammonium chloride (pink salt), which is able to dissolve small quantities of tin. in presence of such a solution also, it was found that the temperature at which the velocity of transformation was greatest was raised to °. at this temperature, white tin in contact with a solution of tin ammonium chloride, and the grey modification, undergoes transformation to an appreciable extent in the course of a few days. fig. is a photograph of a piece of white tin undergoing transformation into the grey variety.[ ] the bright surface of the tin becomes covered with a number of warty masses, formed of the less dense grey form, and the number and size of these continue to grow until the whole of the white tin has passed { } into a grey powder. on account of the appearance which is here seen, this transformation of tin has been called by cohen the "tin plague." [illustration: fig. .] { } enantiotropy and monotropy.--in the case of sulphur and tin, we have met with two substances existing in polymorphic forms, and we have also learned that these forms exhibit a definite transition point at which their relative stability is reversed. each form, therefore, possesses a definite range of stable existence, and is capable of undergoing transformation into the other, at temperatures above or below that of the transition point. another class of dimorphous substances is, however, met with as, for instance, in the case of the well-known compounds iodine monochloride and benzophenone. each crystalline form has its own melting point, the dimorphous forms of iodine monochloride melting at . ° and . °,[ ] and those of benzophenone at ° and °.[ ] this class of substance differs from that which we have already studied (_e.g._ sulphur and tin), in that at all temperatures up to the melting point, only one of the forms is stable, the other being metastable. there is, therefore, no transition point, and transformation of the crystalline forms can be observed _only in one direction_. these two classes of phenomena are distinguished by the names _enantiotropy_ and _monotropy_; enantiotropic substances being such that the change of one form into the other is a reversible process (_e.g._ rhombic sulphur into monoclinic, and monoclinic sulphur into rhombic), and monotropic substances, those in which the transformation of the crystalline forms is irreversible. [illustration: fig. .] [illustration: fig. .] these differences in the behaviour can be explained very well in many cases by supposing that in the case of enantiotropic substances the transition point lies below the melting point, while in the case of monotropic substances, it lies above the melting point.[ ] these conditions would be represented by the figs. and . in these two figures, o_{ } is the transition point, o_{ } and o_{ } the melting points of the metastable and stable forms { } respectively. from fig. we see that the crystalline form i. at all temperatures up to its melting point is metastable with respect to the form ii. in such cases the transition point could be reached only at higher pressures. although, as already stated, this explanation suffices for many cases, it does not prove that in all cases of monotropy the transition point is above the melting point of the two forms. it is also quite possible that the transition point may lie below the melting points;[ ] in this case we have what is known as _pseudomonotropy_. it is possible that graphite and diamond,[ ] perhaps also the two forms of phosphorus, stand in the relation of pseudomonotropy (_v._ p. ). the disposition of the curves in figs. and also explains the phenomenon sometimes met with, especially in organic chemistry, that the substance first melts, then solidifies, and remelts at a higher temperature. on again determining the melting point after re-solidification, only the higher melting point is obtained. the explanation of such a behaviour is, that if the determination of the melting point is carried out rapidly, the point o_{ }, the melting point of the metastable solid form, may be realized. at this temperature, however, the liquid is metastable with respect to the stable solid form, and if the temperature is { } not allowed to rise above the melting point of the latter, the liquid may solidify. the stable solid modification thus obtained will melt only at a higher temperature. d. _phosphorus._ an interesting case of a monotropic dimorphous substance is found in phosphorus, which occurs in two crystalline forms; white phosphorus belonging to the regular system, and red phosphorus belonging to the hexagonal system. from determinations of the vapour pressures of liquid white phosphorus, and of solid red phosphorus,[ ] it was found that the vapour pressure of red phosphorus was considerably lower than that of liquid white phosphorus at the same temperature, the values obtained being given in the following table. vapour pressures of white and red phosphorus. ------------------------------------------------------------------------- vapour pressure of liquid white phosphorus. | vapour pressure of red | phosphorus. -------------------------------------------------+----------------------- temperature.| pressure | temperature.| pressure | temperature.| pressure | in cm. | | in atm. | | in atm. ------------+----------+-------------+-----------+-------------+--------- ° | | ° | . | ° | . ° | . | ° | . | ° | . ° | . | ° | . | ° | . ° | . | ° | . | ° | . ° | . | ° | . | ° | . ° | . | -- | -- | ° | . -- | -- | -- | -- | ° | . ------------------------------------------------------------------------- these values are also represented graphically in fig. . [illustration: fig. .] at all temperatures above about °, transformation of the white into the red modification takes place with appreciable velocity, and this velocity increases as the temperature is raised. even at lower temperatures, _e.g._ at the ordinary temperature, the velocity of transformation is increased under the influence { } of light,[ ] or by the presence of certain substances, _e.g._ iodine,[ ] just as the velocity of transformation of white tin into the grey modification was increased by the presence of a solution of tin ammonium chloride (p. ). at the ordinary temperature, therefore, white phosphorus must be considered as the less stable (metastable) form, for although it can exist in contact with red phosphorus for a long period, its vapour pressure, as we have seen, is greater than that of the red modification, and also, its solubility in different solvents is greater[ ] than that of the red modification; as we shall find later, the solubility of the metastable form is always greater than that of the stable. the relationships which are met with in the case of phosphorus can be best represented by the diagram, fig. .[ ] in this figure, bo_{ } represents the conditions of equilibrium of the univariant system red phosphorus and vapour, which ends at o_{ }, the melting point of red phosphorus. by heating in capillary tubes of hard glass, chapman[ ] found that red phosphorus melts at the melting point of potassium iodide, _i.e._ about °,[ ] but the pressure at this temperature is unknown. at o_{ }, then, we have the triple point, red phosphorus, liquid, and vapour, and starting from it, we should have the { } vaporization curve of liquid phosphorus, o_{ }a, and the fusion curve of red phosphorus, o_{ }f. although these have not been determined, the latter curve must, from theoretical considerations (_v._ p. ), slope slightly to the right; _i.e._ increase of pressure raises the melting point of red phosphorus. [illustration: fig. .] when white phosphorus is heated to °, it melts. at this point, therefore, we shall have another triple point, white phosphorus--liquid--vapour; the pressure at this point has been calculated to be mm.[ ] this point is the intersection of three curves, viz. sublimation curve, vaporization curve, and the fusion curve of white phosphorus. the fusion curve, o_{ }e, has been determined by tammann[ ] and by g. a. hulett,[ ] and it was found that increase of pressure by atm. raises the melting point by . °. the sublimation curve of white phosphorus has not yet been determined. as can be seen from the table of vapour pressures (p. ), the vapour pressure of white phosphorus has been determined up to °; at temperatures above this, however, the velocity with which transformation into red phosphorus takes place is so great as to render the determination of the vapour pressure { } at higher temperatures impossible. since, however, the difference between white phosphorus and red phosphorus disappears in the liquid state, the vapour pressure curve of white phosphorus must pass through the point o_{ }, the melting point of red phosphorus, and must be continuous with the curve o_{ }a, the vapour pressure curve of liquid phosphorus (_vide infra_). since, as fig. shows, the vapour pressure curve of white phosphorus ascends very rapidly at higher temperatures, the "break" between bo_{ } and o_{ }a must be very slight. as compared with monotropic substances like benzophenone, phosphorus exhibits the peculiarity that transformation of the metastable into the stable modification takes place with great slowness; and further, the time required for the production of equilibrium between red phosphorus and phosphorus vapour is great compared with that required for establishing the same equilibrium in the case of white phosphorus. this behaviour can be best explained by the assumption that change in the molecular complexity (polymerization) occurs in the conversion of white into red phosphorus, and when red phosphorus passes into vapour (depolymerization).[ ] this is borne out by the fact that measurements of the vapour density of phosphorus vapour at temperatures of ° and more, show it to have the molecular weight represented by p_{ },[ ] and the same molecular weight has been found for phosphorus in solution.[ ] on the other hand, it has recently been shown by r. schenck,[ ] that the molecular weight of red phosphorus is at least p_{ }, and very possibly higher. in the case of phosphorus, therefore, it is more than possible that we are dealing, not simply with two polymorphic { } forms of the same substance, but with polymeric forms, and that there is no transition point at temperatures above the absolute zero, unless we assume the molecular complexity of the two forms to become the same. the curve for red phosphorus would therefore lie below that of white phosphorus, for the vapour pressure of the polymeric form, if produced from the simpler form with evolution of heat, must be lower than that of the latter. a transition point would, of course, become possible if the sign of the heat effect in the transformation of the one modification into the other should change. if, further, the liquid which is produced by the fusion of red phosphorus at ° under high pressure also exists in a polymeric form, greater than p_{ }, then the metastable vaporization curve of white phosphorus would not pass through the melting point of red phosphorus, as was assumed above.[ ] we have already seen in the case of water (p. ) that the vapour pressure of supercooled water is greater than that of ice, and that therefore it is possible, theoretically at least, by a process of distillation, to transfer the water from one end of a closed tube to the other, and to there condense it as ice. on account of the very small difference between the vapour pressure of supercooled water and ice, this distillation process has not been experimentally realized. in the case of phosphorus, however, where the difference in the vapour pressures is comparatively great, it has been found possible to distil white phosphorus from one part of a closed tube to another, and to there condense it as red phosphorus; and since the vapour pressure of red phosphorus at ° is less than the vapour pressure of white phosphorus at °, it is possible to carry out the distillation from a _colder_ part of the tube to a _hotter_, by having white phosphorus at the former and red phosphorus at the latter. such a process of distillation has been carried out by troost and hautefeuille between ° and °.[ ] relationships similar to those found in the case of phosphorus are also met with in the case of cyanogen and { } paracyanogen, which have been studied by chappuis,[ ] troost and hautefeuille,[ ] and dewar,[ ] and also in the case of other organic substances. enantiotropy combined with monotropy.--not only can polymorphic substances exhibit enantiotropy or monotropy, but, if the substance is capable of existing in more than two crystalline forms, both relationships may be found, so that some of the forms may be enantiotropic to one another, while the other forms exhibit only monotropy. this behaviour is seen in the case of sulphur, which can exist in as many as eight different crystalline varieties. of these only monoclinic and rhombic sulphur exhibit the relationship of enantiotropy, _i.e._ they possess a definite transition point, while the other forms are all metastable with respect to rhombic and monoclinic sulphur, and remain so up to the melting point; that is to say, they are monotropic modifications.[ ] e. _liquid crystals._ phenomena observed.--in it was discovered by reinitzer[ ] that the two substances, cholesteryl acetate and cholesteryl benzoate, possess the peculiar property of melting sharply at a definite temperature to milky liquids; and that the latter, on being further heated, suddenly become clear, also at a definite temperature. other substances, more especially _p_-azoxyanisole and _p_-azoxyphenetole, were, later, found to possess the same property of having apparently a double melting point.[ ] on cooling the clear liquids, the reverse series of changes occurred. the turbid liquids which were thus obtained were found to possess not only the usual properties of liquids (such as the { } property of flowing and of assuming a perfectly spherical shape when suspended in a liquid of the same density), but also those properties which had hitherto been observed only in the case of solid crystalline substances, viz. the property of double refraction and of giving interference colours when examined by polarized light; the turbid liquids are _anisotropic_. to such liquids, the optical properties of which were discovered by o. lehmann,[ ] the name _liquid crystals_, or crystalline liquids, was given. nature of liquid crystals.--during the past ten years the question as to the nature of liquid crystals has been discussed by a number of investigators, several of whom have contended strongly against the idea of the term "liquid" being applied to the crystalline condition; and various attempts have been made to prove that the turbid liquids are in reality heterogeneous and are to be classed along with emulsions.[ ] this view was no doubt largely suggested by the fact that the anisotropic liquids were turbid, whereas the "solid" crystals were clear. lehmann found, however, that, when examined under the microscope, the "simple" liquid crystals were also clear,[ ] the apparent turbidity being due to the aggregation of a number of differently oriented crystals, in the same way as a piece of marble does not appear transparent although composed of transparent crystals.[ ] further, no proof of the heterogeneity of liquid crystals has yet been obtained, but rather all chemical and physical investigations indicate that they are homogeneous.[ ] no separation { } of a solid substance from the milky, anisotropic liquids has been effected; the anisotropic liquid is in some cases less viscous than the isotropic liquid formed at a higher temperature; and the temperature of liquefaction is constant, and is affected by pressure and admixture with foreign substances exactly as in the case of a pure substance.[ ] [illustration: fig. .] equilibrium relations in the case of liquid crystals.--since, now, we have seen that we are dealing here with substances in two crystalline forms (which we may call the solid and liquid[ ] crystalline form), which possess a definite transition point, at which, transformation of the one form into the other occurs in both directions, we can represent the conditions of equilibrium by a diagram in all respects similar to that employed in the case of other enantiotropic substances, _e.g._ sulphur (p. ). { } in fig. there is given a diagrammatic representation of the relationships found in the case of _p_-azoxyanisole.[ ] although the vapour pressure of the substance in the solid, or liquid state, has not been determined, it will be understood from what we have already learned, that the curves ao, ob, bc, representing the vapour pressure of solid crystals, liquid crystals, isotropic liquid, must have the relative positions shown in the diagram. point o, the transition point of the solid into the liquid crystals, lies at . °, and the change of the transition point with the pressure is + . ° pro atm. the transition curve oe slopes, therefore, slightly to the right. the point b, the melting point of the liquid crystals, lies at . °, and the melting point is raised . ° pro atm. the curve bd, therefore, also slopes to the right, and more so than the transition curve. in this respect azoxyanisole is different from sulphur. the areas bounded by the curves represent the conditions for the stable existence of the four single phases, solid crystals, liquid crystals, isotropic liquid and vapour. the most important substances hitherto found to form liquid crystals are[ ]:-- ----------------------------------+------------+-------- | | substance. | transition | melting | point. | point. ----------------------------------+------------+-------- | | cholesteryl benzoate | . ° | . ° azoxyanisole | . ° | . ° azoxyphenetole | . ° | . ° condensation product from | | benzaldehyde and benzidine | ° | ° azine of _p_-oxyethylbenzaldehyde | ° | ° condensation product from | | _p_-tolylaldehyde and benzidine | ° | -- _p_-methoxycinnamic acid | ° | ° ----------------------------------+------------+-------- * * * * * { } chapter iv general summary in the preceding pages we have learned how the principles of the phase rule can be applied to the elucidation of various systems consisting of one component. in the present chapter it is proposed to give a short summary of the relationships we have met with, and also to discuss more generally how the phase rule applies to other one-component systems. on account of the fact that beginners are sometimes inclined to expect too much of the phase rule; to expect, for example, that it will inform them as to the exact behaviour of a substance, it may here be emphasized that the phase rule is a general rule; it informs us only as to the general conditions of equilibrium, and leaves the determination of the definite, numerical data to experiment. triple point.--we have already (p. ) defined a triple point in a one-component system, as being that pressure and temperature at which three phases coexist in equilibrium; it represents, therefore, an invariant system (p. ). at the triple point also, three curves cut, viz. the curves representing the conditions of equilibrium of the three univariant systems formed by the combination of the three phases in pairs. the most common triple point of a one-component system is, of course, the triple point, solid, liquid, vapour (s-l-v), but other triple points[ ] are also possible when, as in the case of { } sulphur or benzophenone, polymorphic forms occur. whether or not all the triple points can be experimentally realized will, of course, depend on circumstances. we shall, in the first place, consider only the triple point s-l-v. as to the general arrangement of the three univariant curves around the triple point, the following rules may be given. ( ) the prolongation of each of the curves beyond the triple point must lie between the other two curves. ( ) the middle position at one and the same temperature in the neighbourhood of the triple point is taken by that curve (or its metastable prolongation) which represents the two phases of most widely differing specific volume.[ ] that is to say, if a line of constant temperature is drawn immediately above or below the triple point so as to cut the three curves--two stable curves and the metastable prolongation of the third--the position of the curves at that temperature will be such that the middle position is occupied by that curve (or its metastable prolongation) which represents the two phases of most widely differing specific volume. now, although these rules admit of a considerable variety of possible arrangements of curves around the triple point,[ ] only two of these have been experimentally obtained in the case of the triple point solid--liquid--vapour. at present, therefore, we shall consider only these two cases (figs. and ). [illustration: fig. .] [illustration: fig. .] an examination of these two figures shows that they satisfy the rules laid down. each of the curves on being prolonged passes between the other two curves. in the case of substances of the first type (fig. ), the specific volume of the solid is greater than that of the liquid (the substance contracts on fusion); the difference of specific volume will, therefore, be greatest between liquid and vapour. the curve, therefore, for liquid and vapour (or its prolongation) must lie between the other two curves; this is seen from the figure to be the case. similarly, the rule is satisfied by the arrangement of curves in fig. , where the difference of specific volumes is { } greatest between the solid and vapour. in this case the curve s-v occupies the intermediate position. as we see, the two figures differ from one another only in that the fusion curve oc in one case slopes to the right away from the pressure axis, thus indicating that the melting point is raised by increase of pressure; in the other case, to the left, indicating a lowering of the melting point with the pressure. these conditions are found exemplified in the case of sulphur and ice (pp. and ). we see further from the two figures, that o in fig. gives the highest temperature at which the solid can exist, for the curve for solid--liquid slopes back to regions of lower temperature; in fig. , o gives the lowest temperature at which the liquid phase can exist as stable phase.[ ] theorems of van't hoff and of le chatelier.--so far we have studied only the conditions under which various systems exist in equilibrium; and we now pass to a consideration of the changes which take place in a system when the external conditions of temperature and pressure are altered. for all such changes there exist two theorems, based on the laws of thermodynamics, by means of which the alterations in a system can be qualitatively predicted.[ ] the first of these, usually { } known as van't hoff's _law of movable equilibrium_,[ ] states: when the temperature of a system in equilibrium is raised, that reaction takes place which is accompanied by absorption of heat; and, conversely, when the temperature is lowered, that reaction occurs which is accompanied by an evolution of heat. the second of the two theorems refers to the effect of change of pressure, and states:[ ] when the pressure on a system in equilibrium is increased, that reaction takes place which is accompanied by a diminution of volume; and when the pressure is diminished, a reaction ensues which is accompanied by an increase of volume. the demonstration of the universal applicability of these two theorems is due chiefly to le chatelier, who showed that they may be regarded as consequences of the general law of action and reaction. for this reason they are generally regarded as special cases of the more general law, known as the _theorem of le chatelier_, which may be stated in the words of ostwald, as follows:[ ] _if a system in equilibrium is subjected to a constraint by which the equilibrium is shifted, a reaction takes place which opposes the constraint, _i.e._ one by which its effect is partially destroyed._ this theorem of le chatelier is of very great importance, for it applies to all systems and changes of the condition of equilibrium, whether physical or chemical; to vaporization and fusion; to solution and chemical action. in all cases, whenever changes in the external condition of a system in equilibrium are produced, processes also occur within the system which tend to counteract the effect of the external changes. _changes at the triple point._--if now we apply this theorem to equilibria at the triple point s-l-v, and ask what changes will occur in such a system when the external conditions of pressure and temperature are altered, the general answer to the question will be: so long as the three phases are present, no { } change in the temperature or pressure of the system can occur, but _only changes in the relative amounts of the phases_; that is to say, the effect on the system of change in the external conditions is opposed by the reactions or changes which take place within the system (according to the theorems of van't hoff and le chatelier). we now proceed to discuss what these changes are, and shall consider first the effect of alteration of the temperature at constant volume and constant pressure, and then the effect of alteration of the pressure both when the temperature remains constant and when it varies. when the volume is kept constant, the effect of the addition of heat to a system at the triple point s-l-v differs somewhat according as there is an increase or diminution of volume when the solid passes into the liquid state. in the former and most general case (fig. ), addition of heat will cause a certain amount of the solid phase to melt, whereby the heat which is added becomes latent; the temperature of the system therefore does not rise. since, however, the melting of the solid is accompanied by an increase of volume, whereby an increase of pressure would result, a certain portion of the vapour must condense to liquid, in order that the pressure may remain constant. the total effect of addition of heat, therefore, is to cause both solid and vapour to pass into liquid, _i.e._ there occurs the change s + v --> l. it will, therefore, depend on the relative quantities of solid and vapour, which will disappear first. if the solid disappears first, then we shall pass to the system l-v; if vapour disappears first, we shall obtain the system s-l. withdrawal of heat causes the reverse change, l --> s + v; at all temperatures below the triple point the liquid is unstable or metastable (p. ). when fusion is accompanied by a diminution of volume (_e.g._ ice, fig. ), then, since the melting of the solid phase would decrease the total volume, _i.e._ would lower the pressure, a certain quantity of the solid must also pass into vapour in order that the pressure may be maintained constant. on addition of heat, therefore, there occurs the reaction s --> l + v; withdrawal of heat causes the reverse change l + v --> s. above the temperature of the triple point the { } solid cannot exist; below the triple point both systems, s-l and s-v, can exist, and it will therefore depend on the relative amounts of liquid and vapour which of these two systems is obtained on withdrawing heat from the system at constant volume. the same changes in the phases occur when heat is added or withdrawn at constant pressure, so long as the three phases are present. continued addition of heat, however, at constant pressure will ultimately cause the formation of the bivariant system vapour alone; continued withdrawal of heat will ultimately cause the formation of solid alone. this will be readily understood from fig. . the dotted line d'od is a line of constant pressure; on adding heat, the system passes along the line od into the region of vapour; on heat being withdrawn, the system passes along od' into the area of solid. [illustration: fig. .] similar changes are produced when the volume of the system is altered. alteration of volume may take place either while transference of heat to or from the system is cut off (adiabatic change), or while such transference may occur (isothermal change). in the latter case, the temperature of the system will remain constant; in the former case, since at the triple point the pressure must be constant so long as the three phases are present, increase of volume must be compensated by the evaporation of liquid. this, however, would cause the temperature to fall (since communication of heat from the outside is supposed to be cut off), and a portion of the liquid must therefore freeze. in this way the latent heat of evaporation is counterbalanced by the latent heat of fusion. as the result of increase of volume, therefore, the process occurs l --> s + v. diminution of volume, without transference of heat, will bring about the opposite change, s + v --> l. in the former case there is ultimately obtained the univariant system s-v; in the latter case there will be { } obtained either s-l or l-v according as the vapour or solid phase disappears first. this argument holds good for both types of triple point shown in figs. and (p. ). a glance at these figures will show that increase of volume (diminution of pressure) will lead ultimately to the system s-v, for at pressures lower than that of the triple point, the liquid phase cannot exist. decrease of volume (increase of pressure), on the other hand, will lead either to the system s-l or l-v, because these systems can exist at pressures higher than that of the triple point. if the vapour phase disappears and we pass to the curve s-l, continued diminution of volume will be accompanied by a fall in temperature in the case of systems of the first type (fig. ), and by a rise in temperature in the case of systems of the second type (fig. ). [illustration: fig. .] [illustration: fig. .] lastly, if the temperature is maintained constant, _i.e._ if heat can pass into or out of the system, then on changing the volume the same changes in the phases will take place as described above until one of the phases has disappeared. continued increase of volume (decrease of pressure) will then cause the disappearance of a second phase, the system passing along the dotted line oe' (figs. , ), so that ultimately there remains only the vapour phase. conversely, diminution of volume (increase of pressure) will ultimately lead either to solid (fig. ) or to liquid alone (fig. ), the system passing along the dotted line oe. { } in discussing the alterations which may take place at the triple point with change of temperature and pressure, we have considered only the triple point s-l-v. the same reasoning, however, applies, _mutatis mutandis_, to all other triple points, so that if the specific volumes of the phases are known, and the sign of the heat effects which accompany the transformation of one phase into the other, it is possible to predict (by means of the theorem of le chatelier) the changes which will be produced in the system by alteration of the pressure and temperature. in all cases of transformation at the triple point, it should be noted that all _three phases are involved in the change_,[ ] and not two only; the fact that in the case, say, of the transformation from solid to liquid, or liquid to solid, at the melting point with change of temperature, only these two phases appear to be affected, is due to there generally being a large excess of the vapour phase present and to the prior disappearance therefore of the solid or liquid phase. in the case of triple points at which two solid phases are in equilibrium with liquid, other arrangements of the curves around the triple point are found. it is, however, unnecessary to give a general treatment of these here, since the principles which have been applied to the triple point s-l-v can also be applied to the other triple points.[ ] triple point solid--solid--vapour.--the triple point solid--solid--vapour is one which is of considerable importance. examples of such a triple point have already been given in sulphur and tin, and a list of other substances capable of yielding two solid phases is given below. the triple point s-s-v is not precisely the same as the transition point, but is very nearly so. the transition point is the temperature at which the relative stability of the two solid phases undergoes change, when the vapour phase is absent and the pressure is atm.; whereas at the triple point the pressure is that of the system itself. the transition point, therefore, bears the same relation to the triple point s-s-v as the melting point to the triple point s-l-v. { } in the following table is given a list of the most important polymorphous substances, and the temperatures of the transition point.[ ] ------------------------------------+------------- | substance. | transition | temperature. ------------------------------------+------------- | ammonium nitrate-- | [beta]-rhombic --> [alpha]-rhombic | ° [alpha]-rhombic --> rhombohedral | ° rhombohedral --> regular | ° mercuric iodide | ° potassium nitrate | ° silver iodide | ° silver nitrate | ° sulphur | . ° tetrabrommethane | . ° thallium nitrate-- | rhombic --> rhombohedral | ° rhombohedral --> regular | . ° thallium picrate | ° tin | ° ------------------------------------+------------- sublimation and vaporization curves.--we have already seen, in the case of ice and liquid water, that the vapour pressure increases as the temperature rises, the increase of pressure per degree being greater the higher the temperature. the sublimation and vaporization curves, therefore, are not straight lines, but are bent, the convex side of the curve being towards the temperature axis in the ordinary _pt_-diagram. in the case of sulphur and of tin, we assumed vapour to be given off by the solid substance, although the pressure of the vapour has not hitherto been measured. the assumption, however, is entirely justified, not only on theoretical grounds, but also because the existence of a vapour pressure has been observed in the case of many solid substances at temperatures much below the melting point,[ ] and in some cases, _e.g._ camphor,[ ] the vapour pressure is considerable. { } as the result of a large number of determinations, it has been found that all vapour pressure curves have the same general form alluded to above. attempts have also been made to obtain a general expression for the quantitative changes in the vapour pressure with change of temperature, but without success. nevertheless, the _qualitative_ changes, or the general direction of the curves, can be predicted by means of the theorem of le chatelier. as we have already learned (p. ), the phase rule takes no account of the molecular complexity of the substances participating in an equilibrium. a dissociating substance, therefore, in contact with its vaporous products of dissociation (_e.g._ ammonium chloride in contact with ammonia and hydrogen chloride), will likewise constitute a univariant system of one component, provided the composition of the vapour phase as a whole is the same as that of the solid or liquid phase (p. ). for all such substances, therefore, the conditions of equilibrium will be represented by a curve of the same general form as the vapour pressure curve of a non-dissociating substance.[ ] the same behaviour is also found in the case of substances which polymerize on passing into the solid or liquid state (_e.g._ red phosphorus). where such changes in the molecular state occur, however, the time required for equilibrium to be established is, as a rule, greater than when the molecular state is the same in both phases. from an examination of figs. and , it will be easy to predict the effect of change of pressure and temperature on the univariant systems s-v or l-v. if the volume is kept constant, addition of heat will cause an increase of pressure, the system s-v moving along the curve ao until at the triple point the liquid phase is formed, and the system l-v moving along the curve ob; so long as two phases are present, the condition of the system must be represented by these two curves. conversely, withdrawal of heat will cause condensation of vapour, and therefore diminution of pressure; the system will therefore move along the vaporization or sublimation curve to lower temperatures and pressures, so long as the system remains univariant. { } if transference of heat to or from the system is prevented, increase of volume (diminution of pressure) will cause the system l-v to pass along the curve bo; liquid will pass into vapour and the temperature will fall.[ ] at o solid may appear, and the temperature of the system will then remain constant until the liquid phase has disappeared (p. ); the system will then follow the curve oa until the solid phase disappears, and we are ultimately left with vapour. on the other hand, diminution of volume (increase of pressure) will cause condensation of vapour, and the system s-v will pass along the curve ao to higher temperatures and pressures; at o the solid will melt, and the system will ultimately pass to the curve ob or to oc (p. ). addition or withdrawal of heat at constant pressure, and increase or diminution of the pressure at constant temperature, will cause the system to pass along lines parallel to the temperature and the pressure axis respectively; the working out of these changes may be left to the reader, guided by what has been said on pp. and . the sublimation curve of all substances, so far as yet found, has its upper limit at the melting point (triple point), although the possibility of the existence of a superheated solid is not excluded. the lower limit is, theoretically at least, at the absolute zero, provided no new phase, _e.g._ a different crystalline modification, is formed. if the sublimation pressure of a substance is greater than the atmospheric pressure at any temperature below the point of fusion, then the substance will _sublime without melting_ when heated in an open vessel; and fusion will be possible only at a pressure higher than the atmospheric. this is found, for example, in the case of red phosphorus (p. ). if, however, the sublimation pressure of a substance at its triple point s-l-v is less than one atmosphere, then the substance will melt when heated in an open vessel. in the case of the vaporization curve, the upper limit lies at the critical point where the liquid ceases to exist;[ ] the { } lower limit is determined by the range of the metastable state of the supercooled liquid. the interpolation and extrapolation of vapour-pressure curves is rendered very easy by means of a relationship which ramsay and young[ ] found to exist between the vapour-pressure curves of different substances. it was observed that in the case of closely related substances, the ratio of the absolute temperatures corresponding to equal vapour pressures is constant, _i.e._ t_{ }/t'_{ } = t_{ }/t'_{ }. when the two substances are not closely related, it was found that the relationship could be expressed by the equation t_{ }/t'_{ } = t_{ }/t'_{ } + _c_(_t_' - _t_) where _c_ is a constant having a small positive or negative value, and _t_' and _t_ are the temperatures at which one of the substances has the two values of the vapour pressure in question. by means of this equation, if the vapour-pressure curve of one substance is known, the vapour-pressure curve of any other substance can be calculated from the values at any two temperatures of the vapour pressure of that substance. fusion curve--transition curve.--the fusion curve represents the conditions of equilibrium between the solid and liquid phase; it shows the change of the melting point of a substance with change of pressure. as shown in figs. and , the fusion curve is inclined either towards the pressure axis or away from it; that is, increase of pressure can either lower or raise the melting point. it is easy to predict in a qualitative manner the different effect of pressure on the melting point in the two cases mentioned, if we consider the matter in the light of the theorem of le chatelier (p. ). water, on passing into ice, expands; therefore, if the pressure on the system ice--water be increased, a reaction will take place which is accompanied by a diminution in volume, _i.e._ the ice will melt. consequently, a lower temperature will be required in order to counteract the effect of increase of pressure; or, in other words, the melting point will { } be lowered by pressure.[ ] in the second case, the passage of the liquid to the solid state is accompanied by a diminution of volume; the effect of increase of pressure will therefore be the reverse of that in the previous case. if the value of the heat of fusion and the alteration of volume accompanying the change of state are known, it is possible to calculate _quantitatively_ the effect of pressure.[ ] we have already seen (p. ) that the effect of pressure on the melting point of a substance was predicted as the result of theoretical considerations, and was first proved experimentally in the case of ice. soon after, bunsen[ ] showed that the melting point of other substances is also affected by pressure; and in more recent years, ample experimental proof of the change of the melting point with the pressure has been obtained. the change of the melting point is, however, small; as a rule, increase of pressure by atm. changes the melting point by about . °, but in the case of water the change is much less ( . °), and in the case of camphor much more ( . °). in other words, if we take the mean case, an increase of pressure of more than atm. is required to produce a change in the melting point of °. investigations which were made of the influence of pressure on the melting-point, showed that up to pressures of several hundred atmospheres the fusion curve is a straight line.[ ] tammann[ ] has, however, found that on increasing the pressure the fusion curve no longer remains straight, but bends towards the pressure axis, so that, on sufficiently increasing the pressure, a maximum temperature might at length be reached. this maximum has, so far, however, not been attained, although the melting point curves of various substances have been studied up to pressures of atm. this is to be accounted for partly { } by the fact that the probable maximum temperature in the case of most substances lies at very great pressures, and also by the fact that other solid phases make their appearance, as, for example, in the case of ice (p. ). as to the upper limit of the fusion curve, the view has been expressed[ ] that just as in the case of liquid and vapour, so also in the case of solid and liquid, there exists a critical point at which the solid and the liquid phase become identical. experimental evidence, however, does not appear to favour this view.[ ] the _transition point_, like the melting point, is also influenced by the pressure, and in this case also it is found that pressure may either raise or lower the transition point, so that the transition curve may be inclined either away from or towards the pressure axis. the direction of the transition curve can also be predicted if the change of volume accompanying the passage of one form into the other is known. in the case of sulphur, we saw that the transition point is raised by increase of pressure; in the case of the transition of rhombohedral into [alpha]-rhombic form of ammonium nitrate, however, the transition point is lowered by pressure, as shown by the following table.[ ] -------------+---------- | temperature. | pressure. -------------+---------- | . ° | atm. . ° | " . ° | " . ° | " -------------+---------- so far as investigations have been carried out, it appears that in most cases the transition curve is practically a straight line. it has, however, been found in the case of glauber's salt, that with increase of pressure the transition curve passes through a point of maximum temperature, and exhibits, therefore, a form similar to that assumed by tammann for the fusion curve.[ ] { } suspended transformation. metastable equilibria.--hitherto we have considered only systems in stable equilibrium. we have, however, already seen, in the case of water, that on cooling the liquid down to the triple point, solidification did not necessarily take place, although the conditions were such as to allow of its formation. similarly, we saw that rhombic sulphur can be heated above the transition point, and monoclinic sulphur can be obtained at temperatures below the transition point, although in both cases transformation into a more stable form is possible; the system becomes metastable. the same reluctance to form a new phase is observed also in the phenomena of superheating of liquids, and in the "hanging" of mercury in barometers, in which case the vapour phase is not formed. in general, then, we may say that _a new phase will not necessarily be formed immediately the system passes into such a condition that the existence of that phase is possible_; but rather, instead of the system undergoing transformation so as to pass into the most stable condition under the existing pressure and temperature, this transformation will be "suspended" or delayed, and the system will become metastable. only in the case of the formation of the liquid from the solid phase, in a one-component system, has this reluctance to form a new phase not been observed. _to ensure the formation of the new phase, it is necessary to have that phase present._ the presence of the solid phase will prevent the supercooling of the liquid; and the presence of the vapour phase will prevent the superheating of the liquid. however, even in the presence of the more stable phase, transformation of the metastable phase occurs with very varying velocity; in some cases so quickly as to appear almost instantaneous; while in other cases, the change takes place so slowly as to require hundreds of years for its achievement. it is this slow rate of transformation that renders the existence of metastable forms possible, when in contact with the more stable phase. thus, for example, although calcite is the most stable form of calcium carbonate at the ordinary temperature,[ ] the less stable { } modification, aragonite, nevertheless exists under the ordinary conditions in an apparently very stable state. as to the amount of the new phase required to bring about the transformation of the metastable phase, quantitative measurements have been carried out only in the case of the initiation of crystallization in a supercooled liquid.[ ] as the result of these investigations, it was found that, in the case of superfused salol, the very small amount of Ã� ^{- } gm. of the solid phase was sufficient to induce crystallization. crystallization of a supercooled liquid, however, can be initiated only by a "nucleus" of the same substance in the solid state, or, as has also been found, by a nucleus of an isomorphous solid phase; it is not brought about by the presence of any chance solid. velocity of transformation.--attention has already been drawn to the sluggishness with which reciprocal transformation of the polymorphic forms of a substance may occur. in the case of tin, for example, it was found that the white modification, although apparently possessing permanence, is in reality in a metastable state, under the ordinary conditions of temperature and pressure. this great degree of stability is due to the tardiness with which transformation into the grey form occurs. what was found in the case of tin, is met with also in the case of all transformations in the solid state, but the velocity of the change is less in some cases than in others, and appears to decrease with increase of the valency of the element.[ ] to this fact van't hoff attributes the great permanence of many really unstable (or metastable) carbon compounds. reference has been made to the fact that the velocity of transformation can be accelerated by various means. one of the most important of these is the employment of a liquid which has a solvent action on the solid phases. just as we have seen that at any given temperature the less stable form has the higher vapour pressure, but that at the transition point the vapour pressure of both forms becomes identical, so also it can be proved theoretically, and be shown experimentally, that { } at a given temperature the solubility of the less stable form is greater than that of the more stable, but that at the transition point the solubility of the two forms becomes identical.[ ] if, then, the two solid phases are brought into contact with a solvent, the less stable phase will dissolve more abundantly than the more stable; the solution will therefore become supersaturated with respect to the latter, which will be deposited. a gradual change of the less stable form, therefore, takes place through the medium of the solvent. in this way the more rapid conversion of white tin into grey in presence of a solution of tin ammonium chloride (p. ) is to be explained. although, as a rule, solvents accelerate the transformation of one solid phase into the other, they may also have a retarding influence on the velocity of transformation, as was found by reinders in the case of mercuric iodide.[ ] the velocity of inversion, also, is variously affected by different solvents, and in some cases, at least, it appears to be slower the more viscous the solvent;[ ] indeed, kastle and reed state that yellow crystals of mercuric iodide, which, ordinarily, change with considerable velocity into the red modification, have been preserved for more than a year under vaseline. temperature, also, has a very considerable influence on the velocity of transformation. the higher the temperature, and the farther it is removed from the equilibrium point (transition point), the greater is the velocity of change. above the transition point, these two factors act in the same direction, and the velocity of transformation will therefore go on increasing indefinitely the higher the temperature is raised. below the transition point, however, the two factors act in opposite directions, and the more the temperature is lowered, the more is the effect of removal from the equilibrium point counteracted. a point will therefore be reached at which the velocity is a maximum. reduction of the temperature { } below this point causes a rapid falling off in the velocity of change. the point of maximum velocity, however, is not definite, but may be altered by various causes. thus, cohen found that in the case of tin, the point of maximum velocity was altered if the metal had already undergone transformation; and also by the presence of different liquids.[ ] lastly, the presence of small quantities of different substances--catalytic agents or catalyzers--has a great influence on the velocity of transformation. thus, _e.g._, the conversion of white to red phosphorus is accelerated by the presence of iodine (p. ). greater attention, however, has been paid to the study of the velocity of crystallization of a supercooled liquid, the first experiments in this direction having been made by gernez[ ] on the velocity of crystallization of phosphorus and sulphur. since that time, the velocity of crystallization of other supercooled liquids has been investigated; such as acetic acid and phenol by moore;[ ] supercooled water by tumlirz;[ ] and a number of organic substances by tammann,[ ] friedländer and tammann,[ ] and by bogojawlenski.[ ] in measuring the velocity of crystallization, the supercooled liquids were contained in narrow glass tubes, and the time required for the crystallization to advance along a certain length of the tube was determined, the velocity being expressed in millimetres per minute. the results which have so far been obtained may be summarized as follows. for any given degree of supercooling of a substance, the velocity of crystallization is constant. as the degree of supercooling increases, the velocity of crystallization also increases, until a certain point is reached at which the velocity is a maximum, which has a definite characteristic value for each substance. this maximum velocity remains constant over a certain range of { } temperature; thereafter, the velocity diminishes fairly rapidly, and, with sufficient supercooling, may become zero. the liquid then passes into a glassy mass, which will remain (practically) permanent even in contact with the crystalline solid. in ordinary glass we have a familiar example of a liquid which has been cooled to a temperature at which crystallization takes place with very great slowness. if, however, glass is heated, a temperature is reached, much below the melting point of the glass, at which crystallization occurs with appreciable velocity, and we observe the phenomenon of devitrification.[ ] when the velocity of crystallization is studied at temperatures above the maximum point, it is found that the velocity is diminished by the addition of foreign substances; and in many cases, indeed, it has been found that the diminution is the same for equimolecular quantities of different substances. it would hence appear possible to utilize this behaviour as a method for determining molecular weights.[ ] the rule is, however, by no means a universal one. thus it has been found by f. dreyer,[ ] in studying the velocity of crystallization of formanilide, that the diminution in the velocity produced by equivalent amounts of different substances is not the same, but that the foreign substances exercise a specific influence. further, von pickardt's rule does not hold when the foreign substance forms mixed crystals (chap. x.) with the crystallizing substance.[ ] law of successive reactions.--when sulphur vapour is cooled at the ordinary temperature, it first of all condenses to drops of liquid, which solidify in an amorphous form, and only after some time undergo crystallization; or, when phosphorus vapour is condensed, white phosphorus is first formed, and not the more stable form--red phosphorus. it has also been observed that even at the ordinary temperature (therefore much below the transition point) sulphur may crystallize out from solution in benzene, alcohol, carbon disulphide, and other { } solvents, in the prismatic form, the less stable prismatic crystals then undergoing transformation into the rhombic form;[ ] a similar behaviour has also been observed in the transformation of the monotropic crystalline forms of sulphur.[ ] many other examples might be given. in organic chemistry, for instance, it is often found that when a substance is thrown out of solution, it is first deposited as a liquid, which passes later into the more stable crystalline form. in analysis, also, rapid precipitation from concentrated solution often causes the separation of a less stable and more soluble amorphous form. on account of the great frequency with which the prior formation of the less stable form occurs, ostwald[ ] has put forward the _law of successive reactions_, which states that when a system passes from a less stable condition it does not pass directly into the most stable of the possible states; but into the next more stable, and so step by step into the most stable. this law explains the formation of the metastable forms of monotropic substances, which would otherwise not be obtainable. although it is not always possible to observe the formation of the least stable form, it should be remembered that that may quite conceivably be due to the great velocity of transformation of the less stable into the more stable form. from what we have learned about the velocity of transformation of metastable phases, we can understand that rapid cooling to a low temperature will tend to preserve the less stable form; and, on account of the influence of temperature in increasing the velocity of change, it can be seen that the formation of the less stable form will be more difficult to observe in superheated than in supercooled systems. the factors, however, which affect the readiness with which { } the less stable modification is produced, appear to be rather various.[ ] although a number of at least apparent exceptions to ostwald's law have been found, it may nevertheless be accepted as a very useful generalization which sums up very frequently observed phenomena. * * * * * { } chapter v systems of two components--phenomena of dissociation in the preceding pages we have studied the behaviour of systems consisting of only one component, or systems in which all the phases, whether solid, liquid, or vapour, had the same chemical composition (p. ). in some cases, as, for example, in the case of phosphorus and sulphur, the component was an elementary substance; in other cases, however, _e.g._ water, the component was a compound. the systems which we now proceed to study are characterized by the fact that the different phases have no longer all the same chemical composition, and cannot, therefore, according to definition, be considered as one-component systems. in most cases, little or no difficulty will be experienced in deciding as to the _number_ of the components, if the rules given on pp. and are borne in mind. if the composition of all the phases, each regarded as a whole, is the same, the system is to be regarded as of the first order, or a one-component system; if the composition of the different phases varies, the system must contain more than one component. if, in order to _express_ the composition of all the phases present when the system is in equilibrium, two of the constituents participating in the equilibrium are necessary and sufficient, the system is one of two components. which two of the possible substances are to be regarded as components will, however, be to a certain extent a matter of arbitrary choice. the principles affecting the choice of components will best be learned by a study of the examples to be discussed in the sequel. { } different systems of two components.--applying the phase rule p + f = c + to systems of two components, we see that in order that the system may be invariant, there must be four phases in equilibrium together; two components in three phases constitute a univariant, two components in two phases a bivariant system. in the case of systems of one component, the highest degree of variability found was two (one component in one phase); but, as is evident from the formula, there is a higher degree of freedom possible in the case of two-component systems. two components existing in only one phase constitute a tervariant system, or a system with three degrees of freedom. in addition to the pressure and temperature, therefore, a third variable factor must be chosen, and as such there is taken the _concentration of the components_. in systems of two components, therefore, not only may there be change of pressure and temperature, as in the case of one-component systems, but the concentration of the components in the different phases may also alter; a variation which did not require to be considered in the case of one-component systems. [illustration: fig. .] since a two-component system may undergo three possible { } independent variations, we should require for the graphic representation of all the possible conditions of equilibrium a system of three co-ordinates in space, three axes being chosen, say, at right angles to one another, and representing the three variables--pressure, temperature, and concentration of components (fig. ). a curve (_e.g._ ab) in the plane containing the pressure and temperature axes would then represent the change of pressure with the temperature, the concentration remaining unaltered (_pt_-diagram); one in the plane containing the pressure and concentration axes (_e.g._ af or df), the change of pressure with the concentration, the temperature remaining constant (_pc_-diagram), while in the plane containing the concentration and the temperature axes, the simultaneous change of these two factors at constant pressure would be represented (_tc_-diagram). if the points on these three curves are joined together, a surface, abde, will be formed, and any line on that surface (_e.g._ fg, or gh, or gi) would represent the simultaneous variation of the three factors--pressure, temperature, concentration. although we shall at a later point make some use of these solid figures, we shall for the present employ the more readily intelligible plane diagram. the number of different systems which can be formed from two components, as well as the number of the different phenomena which can there be observed, is much greater than in the case of one component. in the case of no two substances, however, have all the possible relationships been studied; so that for the purpose of gaining an insight into the very varied behaviour of two-component systems, a number of different examples will be discussed, each of which will serve to give a picture of some of the relationships. although the strict classification of the different systems according to the phase rule would be based on the variability of the systems, the study of the many different phenomena, and the correlation of the comparatively large number of different systems, will probably be rendered easiest by grouping these different phenomena into classes, each of these classes being studied with the help of one or more typical examples. the order of treatment adopted here is, of course, quite arbitrary; { } but has been selected from considerations of simplicity and clearness. phenomena of dissociation. bivariant systems.--as the first examples of the equilibria between a substance and its products of dissociation, we shall consider very briefly those cases in which there is one solid phase in equilibrium with vapour. reference has already been made to such systems in the case of ammonium chloride. on being heated, ammonium chloride dissociates into ammonia and hydrogen chloride. since, however, in that case the vapour phase has the same total composition as the solid phase, viz. nh_{ } + hcl = nh_{ }cl, the system consists of only one component existing in two phases; it is therefore univariant, and to each temperature there will correspond a definite vapour pressure (dissociation pressure).[ ] if, however, excess of one of the products of dissociation be added, the system becomes one of two components. in the first place, analysis of each of the two phases yields as the composition of each, solid: nh_{ }cl (= nh_{ } + hcl); vapour: _m_nh_{ } + _n_hcl. obviously the smallest number of substances by which the composition of the two phases can be expressed is two; that is, the number of components is two. what, then, are the components? the choice lies between nh_{ } + hcl, nh_{ }cl + nh_{ }, and nh_{ }cl + hcl; for the three substances, ammonium chloride, ammonia, hydrogen chloride, are the only ones taking part in the equilibrium of the system. of these three pairs of components, we should obviously choose as the most simple nh_{ } and hcl, for we can then represent the composition of the two phases as the _sum_ of the two components. if one of the other two possible pairs of components be chosen, we should have to introduce negative quantities of one of the components, in order to represent the composition of the vapour phase. although it must be allowed that the introduction of negative quantities of a component in such cases is quite permissible, still it will be { } better to adopt the simpler and more direct choice, whereby the composition of each of the phases is represented as a sum of two components in varying proportions (p. ). if, therefore, we have a solid substance, such as ammonium chloride, which dissociates on volatilization, and if the products of dissociation are added in varying amounts to the system, we shall have, in the sense of the phase rule, a _two-component system existing in two phases_. such a system will possess two degrees of freedom. at any given temperature, not only the pressure, but also the composition, of the vapour-phase, _i.e._ the concentration of the components, can vary. only after one of these independent variables, pressure or composition, has been arbitrarily fixed does the system become univariant, and exhibit a definite, constant pressure at a given temperature. now, although the phase rule informs us that at a given temperature change of composition of the vapour phase will be accompanied by change of pressure, it does not cast any light on the relation between these two variables. this relationship, however, can be calculated theoretically by means of the law of mass action.[ ] from this we learn that in the case of a substance which dissociates into equivalent quantities of two gases, the product of the partial pressures of the gases is constant at a given temperature. this has been proved experimentally in the case of ammonium hydrosulphide, ammonium cyanide, phosphonium bromide, and other substances.[ ] univariant systems.--in order that a system of two components shall possess only one degree of freedom, three phases must be present. of such systems, there are seven possible, viz. s-s-s, s-s-l, s-s-v, l-l-l, s-l-l, l-l-v, s-l-v; s denoting solid, l liquid, and v vapour. in the present chapter we shall consider only the systems s-s-v, _i.e._ those systems in which there are two solid phases and a vapour phase present. { } as an example of this, we may first consider the well-known case of the dissociation of calcium carbonate. this substance on being heated dissociates into calcium oxide, or quick-lime, and carbon dioxide, as shown by the equation caco_{ } <--> cao + co_{ }. in accordance with our definition (p. ), we have here two solid phases, the carbonate and the quick-lime, and one vapour phase; the system is therefore univariant. to each temperature, therefore, there will correspond a certain, definite maximum pressure of carbon dioxide (dissociation pressure), and this will follow the same law as the vapour pressure of a pure liquid (p. ). more particularly, it will be independent of the relative or absolute amounts of the two solid phases, and of the volume of the vapour phase. if the temperature is maintained constant, increase of volume will cause the dissociation of a further amount of the carbonate until the pressure again reaches its maximum value corresponding to the given temperature. diminution of volume, on the other hand, will bring about the combination of a certain quantity of the carbon dioxide with the calcium oxide until the pressure again reaches its original value. the dissociation pressure of calcium carbonate was first studied by debray,[ ] but more exact measurements have been made by le chatelier,[ ] who found the following corresponding values of temperature and pressure:-- -------------+------------------------- | temperature. | pressure in cm. mercury. -------------+------------------------- | ° | . ° | . ° | . ° | . ° | . ° | . ° | . ° | . -------------+------------------------- from this table we see that it is only at a temperature of about ° that the pressure of the carbon dioxide becomes equal to atmospheric pressure. in a vessel open to { } the air, therefore, the complete decomposition of the calcium carbonate would not take place below this temperature by the mere heating of the carbonate. if, however, the carbon dioxide is removed as quickly as it is formed, say by a current of air, then the entire decomposition can be made to take place at a much lower temperature. for the dissociation equilibrium of the carbonate depends only on the partial pressure of the carbon dioxide, and if this is kept small, then the decomposition can proceed, even at a temperature below that at which the pressure of the carbon dioxide is less than atmospheric pressure. ammonia compounds of metal chlorides.--ammonia possesses the property of combining with various substances, chiefly the halides of metals, to form compounds which again yield up the ammonia on being heated. thus, for example, on passing ammonia over silver chloride, absorption of the gas takes place with formation of the substances agcl, nh_{ } and agcl, nh_{ }, according to the conditions of the experiment. these were the first known substances belonging to this class, and were employed by faraday in his experiments on the liquefaction of ammonia. similar compounds have also been obtained by the action of ammonia on silver bromide, iodide, cyanide, and nitrate; and with the halogen compounds of calcium, zinc, and magnesium, as well as with other salts. the behaviour of the ammonia compounds of silver chloride is typical for the compounds of this class, and may be briefly considered here. it was found by isambert[ ] that at temperatures below °, silver chloride combined with ammonia to form the compound agcl, nh_{ }, while at temperatures above ° the compound agcl, nh_{ } was produced. on heating these substances, ammonia was evolved, and the pressure of this gas was found in the case of both compounds to be constant at a given temperature, but was greater in the case of the former than in the case of the latter substance; the pressure, further, was independent of the amount decomposed. the behaviour of these two substances is, therefore, exactly analogous to that shown by calcium carbonate, and the explanation is also similar. { } regarded from the point of view of the phase rule, we see that we are here dealing with two components, agcl and nh_{ }. on being heated, the compounds decompose according to the equations:-- (agcl, nh_{ }) <--> agcl, nh_{ } + nh_{ }. agcl, nh_{ } <--> agcl + nh_{ }. there are, therefore, three phases, viz. agcl, nh_{ }; agcl, nh_{ }, and nh_{ }, in the one case; and agcl, nh_{ }; agcl, and nh_{ } in the other. these two systems are therefore univariant, and to each temperature there must correspond a definite pressure of dissociation, quite irrespective of the amounts of the phases present. similarly, if, at constant temperature, the volume is increased (or if the ammonia which is evolved is pumped off), the pressure will remain constant so long as two solid phases, agcl, nh_{ } and agcl, nh_{ }, are present, _i.e._ until the compound richer in ammonia is completely decomposed, when there will be a sudden fall in the pressure to the value corresponding to the system agcl, nh_{ }--agcl--nh_{ }. the pressure will again remain constant at constant temperature, until all the ammonia has been pumped off, when there will again be a sudden fall in the pressure to that of the system formed by solid silver chloride in contact with its vapour. the reverse changes take place when the pressure of the ammonia is gradually increased. if the volume is continuously diminished, the pressure will first increase until it has reached a certain value; the compound agcl, nh_{ } can then be formed, and the pressure will now remain constant until all the silver chloride has disappeared. the pressure will again rise, until it has reached the value at which the compound agcl, nh_{ } can be formed, when it will again remain constant until the complete disappearance of the lower compound. _there is no gradual change of pressure_ on passing from one system to another; but the changes are abrupt, as is demanded by the phase rule, and as experiment has conclusively proved.[ ] the dissociation pressures of the two compounds of silver { } chloride and ammonia, as determined by isambert,[ ] are given in the following table:-- -------------------------+------------------------- | agcl, nh_{ }. | agcl, nh_{ }. -------------+-----------+--------------+---------- | | | temperature. | pressure. | temperature. | pressure. -------------+-----------+--------------+---------- | | | ° | . cm. | . ° | . cm. . ° | . " | . ° | . " . ° | . " | . ° | . " . ° | . " | . ° | . " . ° | . " | . ° | . " . ° | . " | . ° | . " . ° | . " | . ° | . " . ° | . " | . ° | . " . ° | . " | . ° | . " | | . ° | . " -------------+-----------+--------------+---------- the conditions for the formation of these two compounds, by passing ammonia over silver chloride, to which reference has already been made, will be readily understood from the above tables. in the case of the triammonia mono-chloride, the dissociation pressure becomes equal to atmospheric pressure at a temperature of about °; above this temperature, therefore, it cannot be formed by the action of ammonia at atmospheric pressure on silver chloride. the triammonia dichloride can, however, be formed, for its dissociation pressure at this temperature amounts to only cm., and becomes equal to the atmospheric pressure only at a temperature of about °; and this temperature, therefore, constitutes the limit above which no combination can take place between silver chloride and ammonia under atmospheric pressure. attention may be here drawn to the fact, to which reference will also be made later, that _two_ solid phases are necessary in order that the dissociation pressure at a given temperature shall be definite; _and for the exact definition of this pressure it is necessary to know, not merely what is the substance undergoing dissociation, but also what is the solid product of dissociation formed_. for the definition of the equilibrium, the latter is as important as the former. we shall presently find proof of this in the case { } of an analogous class of phenomena, viz. the dissociation of salt hydrates. salts with water of crystallization.--in the case of the dehydration of crystalline salts containing water of crystallization, we meet with phenomena which are in all respects similar to those just studied. a salt hydrate on being heated dissociates into a lower hydrate (or anhydrous salt) and water vapour. since we are dealing with two components--salt and water[ ]--in three phases, viz. hydrate _a_, hydrate _b_ (or anhydrous salt), and vapour, the system is univariant, and to each temperature there will correspond a certain, definite vapour pressure (the dissociation pressure), which will be independent of the relative or absolute amounts of the phases, _i.e._ of the amount of hydrate which has already undergone dissociation or dehydration. [illustration: fig. .] the constancy of the dissociation pressure had been proved experimentally by several investigators[ ] a number of years before the theoretical basis for its necessity had been given. in the case of salts capable of forming more than one hydrate, we should obtain a series of dissociation curves (_pt_-curves), as in the case of the different hydrates of copper sulphate. in fig. there are represented diagrammatically the vapour-pressure curves of the following univariant systems of copper sulphate and water:-- curve oa: cuso_{ }, h_{ }o <--> cuso_{ }, h_{ }o + h_{ }o. curve ob: cuso_{ }, h_{ }o <--> cuso_{ },h_{ }o + h_{ }o. curve oc: cuso_{ },h_{ }o <--> cuso_{ } + h_{ }o. let us now follow the changes which take place on { } increasing the pressure of the aqueous vapour in contact with anhydrous copper sulphate, the temperature being meanwhile maintained constant. if, starting from the point d, we slowly add water vapour to the system, the pressure will gradually rise, without formation of hydrate taking place; for at pressures below the curve oc only the anhydrous salt can exist. at e, however, the hydrate cuso_{ },h_{ }o will be formed, and as there are now three phases present, viz. cuso_{ }, cuso_{ },h_{ }o, and vapour, the system becomes _univariant_; and since the temperature is constant, the pressure must also be constant. continued addition of vapour will result merely in an increase in the amount of the hydrate, and a decrease in the amount of the anhydrous salt. when the latter has entirely disappeared, _i.e._ has passed into hydrated salt, the system again becomes _bivariant_, and passes along the line ef; the pressure gradually increases, therefore, until at f the hydrate h_{ }o is formed, and the system again becomes univariant; the three phases present are cuso_{ },h_{ }o, cuso_{ }, h_{ }o, vapour. the pressure will remain constant, therefore, until the hydrate h_{ }o has disappeared, when it will again increase till g is reached; here the hydrate h_{ }o is formed, and the pressure once more remains constant until the complete disappearance of the hydrate h_{ }o has taken place. conversely, on dehydrating cuso_{ }, h_{ }o at constant temperature, we should find that the pressure would maintain the value corresponding to the dissociation pressure of the system cuso_{ }, h_{ }o--cuso_{ }, h_{ }o--vapour, until all the hydrate h_{ }o had disappeared; further removal of water would then cause the pressure to fall _abruptly_ to the pressure of the system cuso_{ }, h_{ }o--cuso_{ },h_{ }o--vapour, at which value it would again remain constant until the tri-hydrate had passed into the monohydrate, when a further sudden diminution of the pressure would occur. this behaviour is represented diagrammatically in fig. , the values of the pressure being those at °. efflorescence.--from fig. we are enabled to predict the conditions under which a given hydrated salt will effloresce when exposed to the air. we have just learned that copper { } sulphate pentahydrate, for example, will not be formed unless the pressure of the aqueous vapour reaches a certain value; and that conversely, if the vapour pressure falls below the dissociation pressure of the pentahydrate, this salt will undergo dehydration. from this, then, it is evident that a crystalline salt hydrate will effloresce when exposed to the air, if the partial pressure of the water vapour in the air is lower than the dissociation pressure of the hydrate. at the ordinary temperature the dissociation pressure of copper sulphate is less than the pressure of water vapour in the air, and therefore copper sulphate does not effloresce. in the case of sodium sulphate decahydrate, however, the dissociation pressure is greater than the normal vapour pressure in a room, and this salt therefore effloresces. [illustration: fig. .] indefiniteness of the vapour pressure of a hydrate.--reference has already been made (p. ), in the case of the ammonia compounds of the metal chlorides, to the importance of the solid product of dissociation for the definition of the dissociation pressure. similarly also in the case of a hydrated salt. a salt hydrate in contact with vapour constitutes only a bivariant system, and can exist therefore at different values of temperature and pressure of vapour, as is seen from the diagram, fig. . anhydrous copper sulphate can exist in contact with water vapour at all values of temperature and pressure lying in the field below the curve oc; and the hydrate cuso_{ },h_{ }o can exist in contact with vapour at all values of temperature and pressure in the field boc. similarly, each of the other hydrates can exist in contact with vapour at different values of temperature and pressure. from the phase rule, however, we learn that, in order that at a given temperature the pressure of a two-component system { } may be constant, there must be three phases present. strictly, therefore, we can speak only of the vapour pressure of a _system_; and since, in the cases under discussion, the hydrates dissociate into a solid and a vapour, any statement as to the vapour pressure of a hydrate has a definite meaning _only when the second solid phase produced by the dissociation is given_. the everyday custom of speaking of the vapour pressure of a hydrated salt acquires a meaning only through the assumption, tacitly made, that the second solid phase, or the solid produced by the dehydration of the hydrate, is the _next lower_ hydrate, where more hydrates than one exist. that a hydrate always dissociates in such a way that the next lower hydrate is formed is, however, by no means certain; indeed, cases have been met with where apparently the anhydrous salt, and not the lower hydrate (the existence of which was possible), was produced by the dissociation of the higher hydrate.[ ] that a salt hydrate can exhibit different vapour pressures according to the solid product of dissociation, can not only be proved theoretically, but it has also been shown experimentally to be a fact. thus cacl_{ }, h_{ }o can dissociate into water vapour and either of two lower hydrates, each containing four molecules of water of crystallization, and designated respectively as cacl_{ }, h_{ }o[alpha], and cacl_{ }, h_{ }o[beta]. roozeboom[ ] has shown that the vapour pressure which is obtained differs according to which of these two hydrates is formed, as can be seen from the following figures:-- -------------+---------------------------------------------------------- | pressure of system. temperature. +-----------------------------+---------------------------- | cacl_{ }, h_{ }o; cacl_{ }, | cacl_{ }, h_{ }o; cacl_{ }, | h_{ }o[alpha]; vapour. | h_{ }o[beta]; vapour. -------------+-----------------------------+---------------------------- - ° | . cm. | . cm. | . " | . " + | . " | . " | . " | . " | . " | . " . | -- | . " . | . " | -- -------------+-----------------------------+--------------------------- { } by reason of the non-recognition of the importance of the solid dissociation product for the definition of the dissociation pressure of a salt hydrate, many of the older determinations lose much of their value. suspended transformation.--just as in systems of one component we found that a new phase was not necessarily formed when the conditions for its existence were established, so also we find that even when the vapour pressure is lowered below the dissociation pressure of a system, dissociation does not necessarily occur. this is well known in the case of glauber's salt, first observed by faraday. undamaged crystals of na_{ }so_{ }, h_{ }o could be kept unchanged in the open air, although the vapour pressure of the system na_{ }so_{ }, h_{ }o--na_{ }so_{ }--vapour is greater than the ordinary pressure of aqueous vapour in the air. that is to say, the possibility of the formation of the new phase na_{ }so_{ } was given; nevertheless this new phase did not appear, and the system therefore became metastable, or unstable with respect to the anhydrous salt. when, however, a trace of the new phase--the anhydrous salt--was brought in contact with the hydrate, transformation occurred; the hydrate effloresced. the possibility of suspended transformation or the non-formation of the new phases must also be granted in the case where the vapour pressure is raised above that corresponding to the system hydrate--anhydrous salt (or lower hydrate)--vapour; in this case the formation of the higher hydrate becomes a possibility, but not a certainty. although there is no example of this known in the case of hydrated salts, the suspension of the transformation has been observed in the case of the compounds of ammonia with the metal chlorides (p. ). horstmann,[ ] for example, found that the pressure of ammonia in contact with agcl, nh_{ } could be raised to a value higher than the dissociation pressure of agcl, nh_{ } without this compound being formed. we see, therefore, that even when the existence of the higher compound in contact with the lower became possible, the higher compound was not immediately formed. range of existence of hydrates.--in fig. the vapour { } pressure curves of the different hydrates of copper sulphate are represented as maintaining their relative positions throughout the whole range of temperatures. but this is not necessarily the case. it is possible that at some temperature the vapour pressure curve of a lower hydrate may cut that of a higher hydrate. at temperatures above the point of intersection, the lower hydrate would have a higher vapour pressure than the higher hydrate, and would therefore be metastable with respect to the latter. the range of stable existence of the lower hydrate would therefore end at the point of intersection. this appears to be the case with the two hydrates of sodium sulphate, to which reference will be made later.[ ] constancy of vapour pressure and the formation of compounds.--we have seen in the case of the salt hydrates that the continued addition of the vapour phase to the system caused an increase in the pressure until at a definite value of the pressure a hydrate is formed; the pressure then becomes constant, and remains so, until one of the solid phases has disappeared. conversely, on withdrawing the vapour phase, the pressure remained constant so long as any of the dissociating compound was present, independently of the degree of the decomposition (p. ). this behaviour, now, has been employed for the purpose of determining whether or not definite chemical compounds are formed. should compounds be formed between the vapour phase and the solid, then, on continued addition or withdrawal of the vapour phase, it will be found that the vapour pressure remains constant for a certain time, and will then suddenly assume a new value, at which it will again remain constant. by this method, ramsay[ ] found that no definite hydrates were formed in the case of ferric and aluminium oxides, but that two are formed in the case of lead oxide, viz. pbo,h_{ }o and pbo,h_{ }o. the method has also been applied to the investigation of the so-called palladium hydride,[ ] and the results obtained appear to show that no compound is formed. reference will, however, be made to this case later (chap. x.). { } measurement of the vapour pressure of hydrates.--for the purpose of measuring the small pressures exerted by the vapour of salt hydrates, use is very generally made of a differential manometer called the _bremer-frowein tensimeter_.[ ] this apparatus has the form shown in fig. . it consists of a u-tube, the limbs of which are bent close together, and placed in front of a millimetre scale. the bend of the tube is filled with oil or other suitable liquid, _e.g._ bromonaphthalene. if it is desired to measure the dissociation pressure of, say, a salt hydrate, concentrated sulphuric acid is placed in the flask _e_, and a quantity of the hydrate, well dried and powdered,[ ] in the bulb d. the necks of the bulbs _d_ and _e_ are then sealed off. since, as we have learned, suspended transformation may occur, it is advisable to first partially dehydrate the salt, in order to ensure the presence of the second solid product of dissociation; the value of the dissociation pressure being independent of the degree of dissociation of the hydrate (p. ). the small bulbs _d_ and _e_ having been filled, the apparatus is placed on its side, so as to allow the liquid to run from the bend of the tube into the bulbs _a_ and _b_; it is then exhausted through _f_ by means of a mercury pump, and sealed off. the apparatus is now placed in a perpendicular position in a thermostat, and kept at constant temperature until equilibrium is established. since the vapour pressure on the side containing the sulphuric acid may be regarded as zero, the difference in level of the two surfaces of liquid in the u-tube gives directly the dissociation pressure of the hydrate in terms of the particular liquid employed; if the density of the latter is known, the pressure can then be calculated to cm. of mercury. [illustration: fig. .] * * * * * { } chapter vi solutions definition.--in all the cases which have been considered in the preceding pages, the different phases--with the exception of the vapour phase--consisted of a single substance of definite composition, or were definite chemical individuals.[ ] but this invariability of the composition is by no means imposed by the phase rule; on the contrary, we shall find in the examples which we now proceed to study, that the participation of phases of variable composition in the equilibrium of a system is in no way excluded. to such phases of variable composition there is applied the term _solution_. a solution, therefore, is to be defined as _a homogeneous mixture, the composition of which can undergo continuous variation within certain limits_; the limits, namely, of its existence.[ ] from this definition we see that the term solution is not restricted to any particular physical state of substances, but includes within its range not only the liquid, but also the gaseous and solid states. we may therefore have solutions of gases in liquids, and of gases in solids; of liquids in liquids or in solids; of solids in liquids, or of solids in solids. solutions of gases in gases are, of course, also possible; since, however, gas solutions never give rise to more than one phase, their { } treatment does not come within the scope of the phase rule, which deals with heterogeneous equilibria. it should also be emphasized that the definition of solution given above, neither creates nor recognizes any distinction between solvent and dissolved substance (solute); and, indeed, a too persistent use of these terms and the attempt to permanently label the one or other of two components as the solvent or the solute, can only obscure the true relationships and aggravate the difficulty of their interpretation. in all cases it should be remembered that we are dealing with equilibria between two components (we confine our attention in the first instance to such), the solution being constituted of these components in variable and varying amounts. the change from the case where the one component is in great excess (ordinarily called the solvent) to that in which the other component predominates, may be quite gradual, so that it is difficult or impossible to say at what point the one component ceases to be the solvent and becomes the solute. the adoption of this standpoint need not, however, preclude one from employing the conventional terms solvent and solute in ordinary language, especially when reference is made only to some particular condition of equilibrium of the system, when the concentration of the two components in the solution is widely different. solutions of gases in liquids. as the first class of solutions to which we shall turn our attention, there may be chosen the solutions of gases in liquids, or the equilibria between a liquid and a gas. these equilibria really constitute a part of the equilibria to be studied more fully in chapter viii.; but since the two-phase systems formed by the solutions of gases in liquids are among the best-known of the two-component systems, a short section may be here allotted to their treatment. when a gas is passed into a liquid, absorption takes place to a greater or less extent, and a point is at length reached when the liquid absorbs no more of the gas; a condition of equilibrium is attained, and the liquid is said to be saturated { } with the gas. in the light of the phase rule, now, such a system is bivariant (two components in two phases); and two of the variable factors, pressure, temperature, and concentration of the components, must therefore be chosen in order that the condition of the system may be defined. if the concentration and the temperature are fixed, then the pressure is also defined; or under given conditions of temperature and pressure, the concentration of the gas in the solution must have a definite value. if, however, the temperature alone is fixed, the concentration and the pressure can alter; a fact so well known that it does not require to be further insisted on. as to the way in which the solubility of a gas in a liquid varies with the pressure, the phase rule of course does not state; but guidance on this point is again yielded by the theorem of van't hoff and le chatelier. since the absorption of a gas is in all cases accompanied by a diminution of the total volume, this process must take place with increase of pressure. this, indeed, is stated in a quantitative manner in the law of henry, according to which the amount of a gas absorbed is proportional to the pressure. but this law must be modified in the case of gases which are very readily absorbed; the _direction of change_ of concentration with the pressure will, however, still be in accordance with the theorem of le chatelier. if, on the other hand, the pressure is fixed, then the concentration will vary with the temperature; and since the absorption of gases is in all cases accompanied by the evolution of heat, the solubility is found, in accordance with the theorem of le chatelier, to diminish with rise of temperature. in considering the changes of pressure accompanying changes of concentration and temperature, a distinction must be drawn between the total pressure and the partial pressure of the dissolved gas, in cases where the solvent is volatile. in these cases, the law of henry applies not to the total pressure of the vapour, but only to the partial pressure of the dissolved gas. { } solutions of liquids in liquids. when mercury and water are brought together, the two liquids remain side by side without mixing. strictly speaking, mercury undoubtedly dissolves to a certain extent in the water, and water no doubt dissolves, although to a less extent, in the mercury; the amount of substance passing into solution is, however, so minute, that it may, for all practical purposes, be left out of account, so long as the temperature does not rise much above the ordinary.[ ] on the other hand, if alcohol and water be brought together, complete miscibility takes place, and one homogeneous solution is obtained. whether water be added in increasing quantities to pure alcohol, or pure alcohol be added in increasing amount to water, at no point, at no degree of concentration, is a system obtained containing more than one liquid phase. at the ordinary temperature, water and alcohol can form only two phases, liquid and vapour. if, however, water be added to ether, or if ether be added to water, solution will not occur to an indefinite extent; but a point will be reached when the water or the ether will no longer dissolve more of the other component, and a further addition of water on the one hand, or ether on the other, will cause the formation of two liquid layers, one containing excess of water, the other excess of ether. we shall, therefore, expect to find all grades of miscibility, from almost perfect immiscibility to perfect miscibility, or miscibility in all proportions. in cases of perfect immiscibility, the components do not affect one another, and the system therefore remains unchanged. such cases do not call for treatment here. we have to concern ourselves here only with the second and third cases, viz. with cases of complete and of partial miscibility. there is no essential difference between the two classes, for, as we shall see, { } the one passes into the other with change of temperature. the formal separation into two groups is based on the miscibility relations at ordinary temperatures. partial or limited miscibility.--in accordance with the phase rule, a pure liquid in contact with its vapour constitutes a univariant system. if, however, a small quantity of a second substance is added, which is capable of dissolving in the first, a bivariant system will be obtained; for there are now two components and, as before, only two phases--the homogeneous liquid solution and the vapour. at constant temperature, therefore, both the composition of the solution and the pressure of the vapour can undergo change; or, if the composition of the solution remains unchanged, the pressure and the temperature can alter. if the second (liquid) component is added in increasing amount, the liquid will at first remain homogeneous, and its composition and pressure will undergo a continuous change; when, however, the concentration has reached a definite value, solution no longer takes place; two liquid phases are produced. since there are now three phases present, two liquids and vapour, the system is univariant; at a given temperature, therefore, the concentration of the components in the two liquid phases, as well as the vapour pressure, must have definite values. addition of one of the components, therefore, cannot alter the concentrations or the pressure, but can only cause a change in the relative amounts of the phases. the two liquid phases can be regarded, the one as a solution of the component i. in component ii., the other as a solution of component ii. in component i. if the pressure is maintained constant, then to each temperature there will correspond a definite concentration of the components in the two liquid phases; and addition of excess of one will merely alter the relative amounts of the two solutions. as the temperature changes, the composition of the two solutions will change, and there will therefore be obtained two solubility curves, one showing the solubility of component i. in component ii., the other showing the solubility of component ii. in component i. since heat may be either evolved or absorbed when one liquid dissolves in another, the solubility may diminish or increase { } with rise of temperature. the two solutions which at a given temperature correspond to one another are known as _conjugate solutions_. the solubility relations of partially miscible liquids have been studied by guthrie,[ ] and more especially by alexejeff[ ] and by rothmund.[ ] a considerable variety of curves have been obtained, and we shall therefore discuss only a few of the different cases which may be taken as typical of the rest. phenol and water.--when phenol is added to water at the ordinary temperature, solution takes place, and a homogeneous liquid is produced. when, however, the concentration of the phenol in the solution has risen to about per cent., phenol ceases to be dissolved; and a further addition of it causes the formation of a second liquid phase, which consists of excess of phenol and a small quantity of water. in ordinary language it may be called a solution of water in phenol. if now the temperature is raised, this second liquid phase will disappear, and a further amount of phenol must be added in order to produce a separation of the liquid into two layers. in this way, by increasing the amount of phenol and noting the temperature at which the two layers disappear, the so-called solubility curve of phenol in water can be obtained. by noting the change of the solubility with the temperature in this manner, it is found that at all temperatures below . °, the addition of more than a certain amount of phenol causes the formation of two layers; at temperatures above this, however, two layers cannot be formed, no matter how much phenol is added. at temperatures above . °, therefore, water and phenol are miscible in all proportions. on the other hand, if water is added to phenol at the ordinary temperature, a liquid is produced which consists chiefly of phenol, and on increasing the amount of water beyond a certain point, two layers are formed. on raising the temperature these two layers disappear, and a homogeneous solution is again obtained. the phenomena are exactly analogous to those already described. since, now, in the second { } case the concentration of the phenol in the solution gradually decreases, while in the former case it gradually increases, a point must at length be reached at which the composition of the two solutions becomes the same. on mixing the two solutions, therefore, one homogeneous liquid will be obtained. but the point at which two phases become identical is called a critical point, so that, in accordance with this definition, the temperature at which the two solutions of phenol and water become identical may be called the _critical solution temperature_, and the concentration at this point may be called the _critical concentration_. [illustration: fig. .] from what has been said above, it will be seen that at any temperature below the critical solution temperature, two conjugate solutions containing water and phenol in different concentration can exist together, one containing excess of water, the other excess of phenol. the following table gives the composition of the two layers, and the values are represented graphically in fig. .[ ] phenol and water. c_{ } is the percentage amount of phenol in the first layer. c_{ } " " " second layer. -------------+--------+-------- temperature. | c_{ }.| c_{ }. -------------+--------+-------- ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . . ° | . | . -------------+--------+-------- { } the critical solution temperature for phenol and water is . °, the critical concentration . per cent. of phenol. at all temperatures above . °, only homogeneous solutions of phenol and water can be obtained; water and phenol are then miscible in all proportions. at the critical solution point the system exists in only two phases--liquid and vapour. it ought, therefore, to possess two degrees of freedom. the restriction is, however, imposed that the composition of the two liquid phases, coexisting at a point infinitely near to the critical point, becomes the same, and this disposes of one of the degrees of freedom. the system is therefore univariant; and at a given temperature the pressure will have a definite value. conversely, if the pressure is fixed (as is the case when the system is under the pressure of its own vapour), then the temperature will also be fixed; that is, the critical solution temperature has a definite value depending only on the substances. if the vapour phase is omitted, the temperature will alter with the pressure; in this case, however, as in the case of other condensed systems, the effect of pressure is slight. from fig. it is easy to predict the effect of bringing together water and phenol in any given quantities at any temperature. start with a solution of phenol and water having the composition represented by the point _x_. if to this solution phenol is added at constant temperature, it will dissolve, and the composition of the solution will gradually change, as shown by the dotted line _xy_. when, however, the concentration has reached the value represented by the point _y_, two liquid layers will be formed, the one solution having the composition represented by _y_, the other that represented by _y'_. the system is now univariant, and on further addition of phenol, the composition of the two liquid phases will remain unchanged, but their relative amounts will alter. the phase richer in phenol will increase in amount; that richer in water will decrease, and ultimately disappear, and there will remain the solution _y'_. continued addition of phenol will then lead to the point _x'_, there being now only one liquid phase present. since the critical solution point represents the highest temperature at which two liquid phases consisting of phenol and { } water can exist together, these two substances can be brought together in any amount whatever at temperatures higher than . °, without the formation of two layers. it will therefore be possible to pass from a system represented by _x_ to one represented by _x'_, without at any time two liquid phases appearing. starting with _x_, the temperature is first raised above the critical solution temperature; phenol is then added until the concentration reaches the point _x__{ }. on allowing the temperature to fall, the system will then pass into the condition represented by _x'_. [illustration: fig. .] methylethylketone and water.--in the case just described, the solubility of each component in the other increased continuously with the temperature. there are, however, cases where a maximum or minimum of solubility is found, _e.g._ methylethylketone and water. the curve which represents the equilibria between these two substances is given in fig. , the concentration values being contained in the following table:[ ]-- methylethylketone and water. --------------+-----------------+----------------- temperature. | c_{ } per cent. | c_{ } per cent. --------------+-----------------+----------------- - ° | . | . + ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . . ° | . | . --------------+-----------------+----------------- { } these numbers and fig. show clearly the occurrence of a minimum in the solubility of the ketone in water, and also a minimum (at about °) in the solubility of water in methylethylketone. minima of solubility have also been found in other cases. [illustration: fig. .] triethylamine and water.--although in most of the cases studied the solubility of one liquid in another increases with rise of temperature, this is not so in all cases. thus, at temperatures below °, triethylamine and water mix together in all proportions; but, on raising the temperature, the homogeneous solution becomes turbid and separates into two layers. in this case, therefore, the critical solution temperature is found in the direction of lower temperature, not in the direction of higher.[ ] this behaviour is clearly shown by the graphic representation in fig. , and also by the numbers in the following table:-- triethylamine and water. -------------+-----------------+---------------- temperature. | c_{ } per cent. | c_{ } per cent. -------------+-----------------+---------------- ° | . | -- ° | . | -- ° | . | ° | . | . ° | . | ± . ° | ± | ± -------------+-----------------+---------------- general form of concentration-temperature curve.--from the preceding figures it will be seen that the general { } form of the solubility curve is somewhat parabolic in shape; in the case of triethylamine and water, the closed end of the curve is very flat. since for all liquids there is a point (critical point) at which the liquid and gaseous states become identical, and since all gases are miscible in all proportions, it follows that there must be some temperature at which the liquids become perfectly miscible. in the case of triethylamine and water, which has just been considered, there must therefore be an upper critical solution temperature, so that the complete solubility relations would be represented by a closed curve of an ellipsoidal aspect. an example of such a curve is furnished by nicotine and water. at temperatures below ° and above °, nicotine and water mix in all proportions.[ ] although it is possible that this is the general form of the curve for all pairs of liquids, there are as yet insufficient data to prove it. with regard to the closed end of the curve it may be said that it is continuous; the critical solution point is not the intersection of two curves, for such a break in the continuity of the curve could occur only if there were some discontinuity in one of the phases. no such discontinuity exists. the curve is, therefore, not to be considered as two solubility curves cutting at a point; it is a curve of equilibrium between two components, and so long as the phases undergo continuous change, the curve representing the equilibrium must also be continuous. as has already been emphasized, a distinction between solvent and solute is merely conventional (p. ). pressure-concentration diagram.--in considering the pressure-concentration diagram of a system of two liquid components, a distinction must be drawn between the total pressure of the system and the partial pressures of the components. on studying the total pressure of a system, it is found that two cases can be obtained.[ ] so long as there is only one liquid phase, the system is bivariant. the pressure therefore can change with the concentration and the temperature. if the temperature is maintained { } constant, the pressure will vary only with the concentration, and this variation can therefore be represented by a curve. if, however, two liquid phases are formed, the system becomes univariant: and if one of the variables, say the temperature, is arbitrarily fixed, the system no longer possesses any degree of freedom. _when two liquid phases are formed, therefore, the concentrations and the vapour pressure have definite values, which are maintained so long as the two liquid phases are present_; the temperature being supposed constant. in fig. is given a diagrammatic representation of the two kinds of pressure-concentration curves which have so far been obtained. in the one case, the vapour pressure of the invariant system (at constant temperature) lies higher than the vapour pressure of either of the pure components; a phenomenon which is very generally found in the case of partially miscible liquids, _e.g._ ether and water.[ ] accordingly, by the addition of water to ether, or of ether to water, there is an increase in the _total_ vapour pressure of the system. [illustration: fig. .] with regard to the second type, the vapour pressure of the systems with two liquid phases lies between that of the two single components. an example of this is found in sulphur dioxide and water.[ ] on adding sulphur dioxide to water there is an increase of the total vapour pressure; but on adding water to liquid sulphur dioxide, the total vapour pressure is diminished. the case that the vapour pressure of the system with two { } liquid phases is _less_ than that of each of the components is not possible. with regard to the _partial pressure_ of the components, the behaviour is more uniform. the partial pressure of one component is in all cases lowered by the addition of the other component, the diminution being approximately proportional to the amount added. if two liquid phases are present, the partial pressure of the components, as well as the total pressure, is constant, and is the same for both phases. that is to say, in the case of the two liquids, saturated solution of water in ether, and of ether in water, the partial pressure of the ether in the vapour in contact with the one solution is the same as that in the vapour over the other solution.[ ] complete miscibility.--although the phenomena of complete miscibility are here treated under a separate heading, it must not be thought that there is any essential difference between those cases where the liquids exhibit limited miscibility and those in which only one homogeneous solution is formed. as has been already pointed out, the solubility relations alter with the temperature; and liquids which at one temperature can dissolve in one another only to a limited extent, are found at some other temperature to possess the property of complete miscibility. conversely, we may expect that liquids which at one temperature, say at the ordinary temperature, are miscible in all proportions, will be found at some other temperature to be only partially miscible. thus, for example, it was found by guthrie that ethyl alcohol and carbon disulphide, which are miscible in all proportions at the ordinary temperature, possess only limited miscibility at temperatures below - . °.[ ] nevertheless, it is doubtful if the critical solution temperature is in all cases experimentally realizable. pressure-concentration diagram.--since, in the cases of complete miscibility of two liquid components, there are never more than two phases present, the system must always be bivariant; and two of the variables pressure, temperature or concentration of the components, must be arbitrarily chosen { } before the system becomes defined. for this reason the phase rule affords only a slight guidance in the study of such equilibria; and we shall therefore not enter in detail into the behaviour of these homogeneous mixtures. all that the phase rule can tell us in connection with these solutions, is that at constant temperature the vapour pressure of the solution varies with the composition of the liquid phase; and if the composition of the liquid phase remains unchanged, the pressure also must remain unchanged. this constancy of composition is exhibited not only by pure liquids, but also by liquid solutions in all cases where the vapour pressure of the solution reaches a maximum or minimum value. this is the case, for example, with mixtures of constant boiling point.[ ] * * * * * { } chapter vii solutions of solids in liquids, only one of the components being volatile general.--when a solid is brought into contact with a liquid in which it can dissolve, a certain amount of it passes into solution; and the process continues until the concentration reaches a definite value independent of the amount of solid present. a condition of equilibrium is established between the solid and the solution; the solution becomes _saturated_. since the number of components is two, and the number of phases three, viz. solid, liquid solution, vapour, the system is univariant. if, therefore, one of the factors, pressure, temperature, or concentration of the components (in the solution[ ]), is arbitrarily fixed, the state of the system becomes perfectly defined. thus, at any given temperature, the vapour pressure of the system and the concentration of the components have a definite value. if the temperature is altered, the vapour pressure and also, in general, the concentration will undergo change. likewise, if the pressure varies, while the system is isolated so that no heat can pass between it and its surroundings, the concentration and the temperature must also undergo variation until they attain values corresponding to the particular pressure. that the temperature has an influence, sometimes a very considerable influence, on the amount of substance passing into solution, is sufficiently well known; the effect of pressure, although less apparent, is no less certain. if at any given temperature the volume of the vapour phase is diminished, { } vapour will condense to liquid, in order that the pressure may remain constant, and so much of the solid will pass into solution that the concentration may remain unchanged; for, so long as the three phases are present, the state of the system cannot alter. if, however, one of the phases, _e.g._ the vapour phase, disappears, the system becomes bivariant; at any given temperature, therefore, there may be different values of concentration and pressure. the direction in which change of concentration will occur with change of pressure can be predicted by means of the theorem of le chatelier, if it is known whether solution is accompanied by increase or diminution of the total volume. if diminution of the total volume of the system occurs on solution, increase of pressure will increase the solubility; in the reverse case, increase of pressure will diminish the solubility. this conclusion has also been verified by experiment, as is shown by the following figures.[ ] --------------------------------------------------------------- |change of | solubility (at °) (grams salt |volume by | in gram of solution). |dissolving gm.|--------------------------- salt. |of salt in the | | |saturated | pressure | pressure |solution. | = atm. | = atm. ------------------+----------------+----------+---------------- sodium chloride | - . | . | . ammonium chloride | + . | . | . alum | - . | . | . | | |(_p_ = atm.) ------------------------------------------------------------- as can be seen, a large increase of the pressure brings about a no more than appreciable alteration of the solubility; a result which is due, as in the case of the alteration of the fusion point with the pressure, to the small change in volume accompanying solution or increase of pressure. for all practical purposes, therefore, the solubility as determined under atmospheric pressure may be taken as equal to the true { } solubility, that is, the solubility when the system is under the pressure of its own vapour. the saturated solution.--from what has been said above, it will be seen that the condition of saturation of a solution can be defined only with respect to a certain solid phase; if no solid is present, the system is undefined, for it then consists of only two phases, and is therefore bivariant. under such circumstances not only can there be at one given temperature solutions of different concentration, all containing less of one of the components than when that component is present in the solid form, but there can also exist solutions containing more of that component than corresponds to the equilibrium when the solid is present. in the former case the solutions are _unsaturated_, in the latter case they are _supersaturated with respect to a certain solid phase_; in themselves, the solutions are stable, and are neither unsaturated nor supersaturated. further, if the solid substance can exist in different allotropic modifications, the particular form of the substance which is in equilibrium with the solution must be known, in order that the statement of the solubility may be definite; for each form has its own solubility, and, as we shall see presently, the less stable form has the greater solubility (cf. p. ). in all determinations of the solubility, therefore, not only must the concentration of the components in the solution be determined, but equal importance should be attached to the characterisation of the solid phase present. in this connection, also, one other point may be emphasised. for the production of the equilibrium between a solid and a liquid, time is necessary, and this time not only varies with the state of division of the solid and the efficiency of the stirring, but is also dependent on the nature of the substance.[ ] considerable care must therefore be taken that sufficient time is allowed for equilibrium to be established. such care is more especially needful when changes may occur in the solid phase, and neglect of it has greatly diminished the value of many of the older determinations of solubility. form of the solubility curve.--the solubility curve--that { } is, the curve representing the change of concentration of the components in the solution with the temperature--differs markedly from the curve of vapour pressure (p. ), in that it possesses no general form, but may vary in the most diverse manner. not only may the curve have an almost straight and horizontal course, or slope or curve upwards at varying angles; but it may even slope downwards, corresponding to a decrease in the solubility with rise of temperature; may exhibit maxima or minima of solubility, or may, as in the case of some hydrated salts, pass through a point of maximum temperature. in the latter case the salt may possess two values of solubility at the same temperature. we shall consider these cases in the following chapter. [illustration: fig. .] the great variety of form shown by solubility curves is at once apparent from fig. , in which the solubility curves of various substances (not, however, drawn to scale) are reproduced.[ ] varied as is the form of the solubility curve, its _direction_, nevertheless, can be predicted by means of the theorem of van't hoff and le chatelier; for in accordance with that theorem (p. ) increase of solubility with the temperature must occur in those cases where the process of solution is accompanied by an _absorption_ of heat; and a decrease in the solubility with rise of temperature will be found in cases where solution occurs with _evolution_ of heat. where there is no heat effect accompanying solution, { } change of temperature will be without influence on the solubility; and if the sign of the heat of solution changes, the direction of the solubility curve must also change, _i.e._ must show a maximum or minimum point. this has in all cases been verified by experiment.[ ] in applying the theorem of le chatelier to the course of the solubility curve, it should be noted that by heat of solution there is meant, not the heat effect produced on dissolving the salt in a large amount of solvent (which is the usual signification of the expression), but the heat which is absorbed or evolved when the salt is dissolved in the almost saturated solution (the so-called last heat of solution). not only does the heat effect in the two cases have a different value, but it may even have a different sign. a striking example of this is afforded by cupric chloride, as the following figures show:[ ]-- ----------------------------------------------------------- number of gram-molecules of | cucl_{ }, h_{ }o dissolved in | heat effect. gram-molecules of water. | -----------------------------------+----------------------- | + k . | + " . | + " . | + " . | + " | + " . | - " . | - " . | - " ------------------------------------------------------------ in the above table the positive sign indicates evolution of heat, the negative sign, absorption of heat; and the values of the heat effect are expressed in centuple calories. judging from the heat effect produced on dissolving cupric chloride in a large bulk of water, we should predict that the solubility of that salt would diminish with rise of temperature; as a matter of fact, it increases. this is in accordance with the fact that { } the last heat of solution is _negative_ (as expressed above), _i.e._ solution of the salt in the almost saturated solution is accompanied by absorption of heat. we are led to expect this from the fact that the heat of solution changes sign from positive to negative as the concentration increases; experiment also showed it to be the case. despite its many forms, it should be particularly noted that the solubility curve of any substance is _continuous_, so long as the solid phase, or solid substance in contact with the solution, remains unchanged. if any "break" or discontinuous change in the direction of the curve occurs, it is a sign that the _solid phase has undergone alteration_. conversely, if it is known that a change takes place in the solid phase, a break in the solubility curve can be predicted. we shall presently meet with examples of this.[ ] a.--anhydrous salt and water. the solubility curve.--in studying the equilibria in those systems of two components in which the liquid phase is a solution or phase of varying composition, we shall in the present chapter limit the discussion to those cases where no compounds are formed, but where the components crystallise out in the pure state. since some of the best-known examples of such systems are yielded by the solutions of anhydrous salts in water, we shall first of all briefly consider some of the results which have been obtained with them. for the most part the solubility curves have been studied only at temperatures lying between ° and °, the solid phase in contact with the solution being the anhydrous salt. for the representation of these equilibria, the concentration-temperature { } diagram is employed, the concentration being expressed as the number of grams of the salt dissolved in grams of water, or as the number of gram-molecules of salt in gram-molecules of water. the curves thus obtained exhibit the different forms to which reference has already been made. so long as the salt remains unchanged the curve will be continuous, but if the salt alters its form, then the solubility curve will show a break. [illustration: fig. .] now, we have already seen in chapter iii. that certain substances are capable of existing in various crystalline forms, and these forms are so related to one another that at a given temperature the relative stability of each pair of polymorphic forms undergoes change. since each crystalline variety of a substance must have its own solubility, there must be a break in the solubility curve at the temperature of transition of the two enantiotropic forms. at this point the two solubility curves must cut, for since the two forms are in equilibrium with respect to their vapour, they must also be in equilibrium with respect to their solutions. from the table on p. it is seen that potassium nitrate, ammonium nitrate, silver nitrate, thallium nitrate, thallium picrate, are capable of existing in two or more different enantiotropic crystalline forms, the range of stability of these forms being limited by definite temperatures (transition temperature). since the transition point is not altered by a solvent (provided the latter is not absorbed by the solid phase), we should find on studying the solubility of these substances in water that the solubility curve would exhibit a change in direction at the temperature of transition. as a matter of fact this has been verified, more especially in the case of ammonium nitrate[ ] { } and thallium picrate.[ ] the following table contains the values of the solubility of ammonium nitrate obtained by müller and kaufmann, the solubility being expressed in gram-molecules nh_{ }no_{ } in gram-molecules of water. in fig. these results are represented graphically. the equilibrium point was approached both from the side of unsaturation and of supersaturation, and the condition of equilibrium was controlled by determinations of the density of the solution. solubility of ammonium nitrate. ------------------------------------------------------------ temperature. | solubility. | temperature. | solubility. --------------+-------------+--------------+---------------- . ° | . | . ° | . . ° | . | . ° | . . ° | . | . ° | . . ° | . | . ° | . . ° | . | . ° | . . ° | . | . ° | . . ° | . | . ° | . . ° | . | . ° | . ------------------------------------------------------------ from the graphic representation of the solubility given in fig. , there is seen to be a distinct change in the direction of the curve at a temperature of °; and this break in the curve corresponds to the transition of the [beta]-rhombic into the [alpha]-rhombic form of ammonium nitrate (p. ). suspended transformation and supersaturation.--as has already been learned, the transformation of the one crystalline form into the other does not necessarily take place immediately the transition point has been passed; and it has therefore been found possible in a number of cases to follow the solubility curve of a given crystalline form beyond the point at which it ceases to be the most stable modification. now, it will be readily seen from fig. that if the two solubility curves be prolonged beyond the point of intersection, the solubility of the less stable form is greater than that of the more stable. a solution, therefore, which is saturated with respect to the less stable form, _i.e._ which is in equilibrium with that form, is _supersaturated with respect to the more stable modification_. if, { } therefore, a small quantity of the more stable form is introduced into the solution, the latter must deposit such an amount of the more stable form that the concentration of the solution corresponds to the solubility of the stable form at the particular temperature. since, however, the solution is now _unsaturated_ with respect to the less stable variety, the latter, if present, must pass into solution; and the two processes, deposition of the stable and solution of the metastable form, must go on until the latter form has entirely disappeared and a saturated solution of the stable form is obtained. there will thus be a conversion, through the medium of the solvent, of the less stable into the more stable modification. this behaviour is of practical importance in the determination of transition points (_v._ appendix). from the above discussion it will be seen how important is the statement of the solid phase for the definition of saturation and supersaturation.[ ] solubility curve at higher temperatures.--on passing to the consideration of the solubility curves at higher temperatures, two chief cases must be distinguished. ( ) the two components in the fused state can mix in all proportions. ( ) the two components in the fused state cannot mix in all proportions. . _complete miscibility of the fused components._ [illustration: fig. .] the best example of this which has been studied, so far as anhydrous salts and water are concerned, is that of silver nitrate and water. the solubility of this salt at temperatures { } above ° has been studied chiefly by etard[ ] and by tilden and shenstone.[ ] the values obtained by etard are given in the following table, and represented graphically in fig. . solubility of silver nitrate. --------------------------------------------------- temperature. |parts of dry salt in parts | of solution. --------------------+------------------------------ - ° | . - ° | . + ° | . ° | . ° | . . ° | . ° | . ° | . ° | . --------------------------------------------------- in this figure the composition of the solution is expressed in parts of silver nitrate in parts by weight of the solution, so that per cent. represents pure silver nitrate. as can be seen, the solubility increases with the temperature. at a temperature of about ° there should be a break in the curve due to change of crystalline form (p. ). such a change in the direction of the solubility curve, however, does not in any way alter the essential nature of the relationships discussed here, and may for the present be left out of account. on following the solubility curve of silver nitrate to higher temperatures, therefore, the concentration of silver nitrate in the solution gradually increases, until at last, at a temperature of °,[ ] the melting point of pure silver nitrate is reached, and the concentration of the water has become zero. the curve throughout its whole extent represents the equilibrium between silver nitrate, solution, and vapour. conversely, starting with pure silver nitrate in contact with the fused salt, addition of water will lower the melting point, _i.e._ will lower the temperature at which the solid salt can exist in contact with the liquid; { } and the depression will be all the greater the larger the amount of water added. as the concentration of the water in the liquid phase is increased, therefore, the system will pass back along the curve from higher to lower temperatures, and from greater to smaller concentrations of silver nitrate in the liquid phase. the curve in fig. may, therefore, be regarded either as the solubility curve of silver nitrate in water, or as the freezing point curve for silver nitrate in contact with a solution consisting of that salt and water. as the temperature of the saturated solution falls, silver nitrate is deposited, and on lowering the temperature sufficiently a point will at last be reached at which ice also begins to separate out. since there are now four phases co-existing, viz. silver nitrate, ice, solution, vapour, the system is invariant, and the point is a _quadruple point_. this quadruple point, therefore, forms the lower limit of the solubility curve of silver nitrate. below this point the solution becomes metastable. ice as solid phase.--ice melts or is in equilibrium with water at a temperature of °. the melting point, will, however, be lowered by the solution of silver nitrate in the water; and the greater the concentration of the salt in the solution the greater will be the depression of the temperature of equilibrium. on continuing the addition of silver nitrate, a point will at length be reached at which the salt is no longer dissolved, but remains in the solid form along with the ice. we again obtain, therefore, the invariant system ice--salt--solution--vapour. the temperature at which this invariant system can exist has been found by middelberg[ ] to be - . °, the solution at this point containing . per cent. of silver nitrate. the same general behaviour will be found in the case of all other systems of two components belonging to this class; that is, in the case of systems from which the components crystallise out in the pure state, and in which the fused components are miscible in all proportions. in all such cases, therefore, the solubility curves (curves of equilibrium) can be represented diagrammatically as in fig. . in this figure oa represents the solubility curve of the salt, and ob the freezing { } point curve of ice. o is the quadruple point at which the invariant system exists, and may be regarded as the point of intersection of the solubility curve with the freezing-point curve. since this point is fixed, the condition of the system as regards temperature, vapour pressure, and concentration of the components (or composition of the solution), is perfectly definite. from the way, also, in which the condition is attained, it is evident that the quadruple point is the lowest temperature that can be obtained with mixtures of the two components in presence of vapour. it is known as the _cryohydric point_, or, generally, the _eutectic point_.[ ] [illustration: fig. .] cryohydrates.[ ]--on cooling a solution of common salt in water to a temperature of - °, guthrie observed that the hydrate nacl, h_{ }o separated out. this salt continued to be deposited until at a temperature of - ° opaque crystals made their appearance, and the liquid passed into the solid state without change of temperature. a similar behaviour was found by guthrie in the case of a large number of other salts, a temperature below that of the melting point of ice being reached at which on continued withdrawal of heat, the solution solidified at a constant temperature. when the system had attained this minimum temperature, it was found that the composition of the solid and the liquid phases was the same, and remained unchanged throughout the period of solidification. this is shown by the following figures, which give the composition of different samples of the solid phase deposited from the solution at constant temperature.[ ] { } --------------------------------- no. | temperature of | nacl. | solidification. | per cent. ----|-----------------|---------- | - ° to - ° | . | - ° | . | - ° | . | - ° | . | - ° | . | - ° | . --------------------------------- mean . --------------------------------- conversely, a mixture of ice and salt containing . per cent. of sodium chloride will melt at a definite and constant temperature, and exhibit, therefore, a behaviour supposed to be characteristic of a pure chemical compound. this, then, combined with the fact that the solid which was deposited was crystalline, and that the same constant temperature was attained, no matter with what proportions of water and salt one started, led guthrie to the belief that the solids which thus separated at constant temperature were definite chemical compounds, to which he gave the general name _cryohydrate_. a large number of such cryohydrates were prepared and analysed by guthrie, and a few of these are given in the following table, together with the temperature of the cryohydric point:[ ]-- cryohydrates. ------------------------------------------------------------------ salt. | cryohydric point. | percentage of anhydrous | | salt in the cryohydrate. ------------------------------------------------------------------ sodium bromide | - ° | . sodium chloride | - ° | . potassium iodide | - ° | . sodium nitrate | - . ° | . ammonium sulphate | - ° | . ammonium chloride | - ° | . sodium iodide | - ° | . potassium bromide | - ° | . potassium chloride | - . ° | . magnesium sulphate | - ° | . potassium nitrate | - . ° | . sodium sulphate | - . ° | . ------------------------------------------------------------------ { } the chemical individuality of these cryohydrates was, however, called in question by pfaundler,[ ] and disproved by offer,[ ] who showed that in spite of the constancy of the melting point, the cryohydrates had the properties, not of definite chemical compounds, but of mixtures; the arguments given being that the heat of solution and the specific volume are the same for the cryohydrate as for a mixture of ice and salt of the same composition; and it was further shown that the cryohydrate had not a definite crystalline form, but separated out as an opaque mass containing the two components in close juxtaposition. the heterogeneous nature of cryohydrates can also be shown by a microscopical examination. at the cryohydric point, therefore, we are not dealing with a single solid phase, but with two solid phases, ice and salt; the cryohydric point, therefore, as already stated, is a quadruple point and represents an invariant system. although on cooling a solution to the cryohydric point, separation of ice may occur, it will not necessarily take place; the system may become metastable. similarly, separation of salt may not take place immediately the cryohydric point is reached. it will, therefore, be possible to follow the curves bo and ao beyond the quadruple point,[ ] which is thereby clearly seen to be the point of intersection of the solubility curve of the salt and the freezing-point curve of ice. at this point, also, the curves of the univariant systems ice--salt--vapour and ice--salt--solution intersect. changes at the quadruple point.--since the invariant system ice--salt--solution--vapour can exist only at a definite temperature, addition or withdrawal of heat must cause the disappearance of one of the phases, whereby the system will become univariant. so long as all four phases are present the temperature, pressure, and concentration of the components in the solution must remain constant. when, therefore, heat is added to or withdrawn from the system, mutually compensatory changes will take place within the system whereby the { } condition of the latter is preserved. these changes can in all cases be foreseen with the help of the theorem of van't hoff and le chatelier; and, after what was said in chap. iv., need only be briefly referred to here. in the first place, addition of heat will cause ice to melt, and the concentration of the solution will be thereby altered; salt must therefore dissolve until the original concentration is reached, and the heat of fusion of ice will be counteracted by the heat of solution of the salt. changes of volume of the solid and liquid phases must also be taken into account; an alteration in the volume of these phases being compensated by condensation or evaporation. all four phases will therefore be involved in the change, and the final state of the system will be dependent on the amounts of the different phases present; the ultimate result of addition or withdrawal of heat or of change of pressure at the quadruple point will be one of the four univariant systems: ice--solution--vapour; salt--solution--vapour; ice--salt--vapour; ice--salt--solution. if the vapour phase disappear, there will be left the univariant system ice--salt--solution, and the temperature at which this system can exist will alter with the pressure. since in this case the influence of pressure is comparatively slight, the temperature of the quadruple point will differ only slightly from that of the cryohydric point as determined under atmospheric pressure. freezing mixtures.--not only will the composition of a univariant system undergo change when the temperature is varied, but, conversely, if the _composition_ of the system is caused to change, corresponding changes of temperature must ensue. thus, if ice is added to the univariant system salt--solution--vapour, the ice must melt and the temperature fall; and if sufficient ice is added, the temperature of the cryohydric point must be at length reached, for it is only at this temperature that the four phases ice--salt--solution--vapour can coexist. or, on the other hand, if salt is added to the system ice--solution--vapour, the concentration of the solution will increase, ice must melt, and the temperature must thereby fall; and this process also will go on until the cryohydric point is reached. in both cases ice melts and there is a change in the { } composition of the solution; in the former case, salt will be deposited[ ] because the solubility diminishes as the temperature falls; in the latter, salt will pass into solution. this process may be accompanied either by an evolution or, more generally, by absorption of heat; in the former case the effect of the addition of ice will be partially counteracted; in the latter case it will be augmented. these principles are made use of in the preparation of _freezing mixtures_. the lowest temperature which can be reached by means of these (under atmospheric pressure) is the cryohydric point. this temperature-minimum is, however, not always attained in the preparation of a freezing mixture, and that for various reasons. the chief of these are radiation and the heat absorbed in cooling the solution produced. the lower the temperature falls, the more rapid does the radiation become; and the rate at which the temperature sinks decreases as the amount of solution increases. both these factors counteract the effect of the latent heat of fusion and the heat of solution, so that a point is reached (which may lie considerably above the cryohydric point) at which the two opposing influences balance. the absorption of heat by the solution can be diminished by allowing the solution to drain off as fast as it is produced; and the effect of radiation can be partially annulled by increasing the rate of cooling. this can be done by the more intimate mixing of the components. since, under atmospheric pressure, the temperature of the cryohydric point is constant, the cryohydrates are very valuable for the production of baths of constant low temperature. . _partial miscibility of the fused components._ on passing to the study of the second class of systems of two components belonging to this group, namely, those in which the fused components are not miscible in all proportions, we find that the relationships are not quite so simple as { } in the case of silver nitrate and water. in the latter case, only one liquid phase was possible; in the cases now to be studied, two liquid phases can be formed, and there is a marked discontinuity in the solubility curve on passing from the cryohydric point to the melting point of the second (non-volatile) component. paratoluidine dissolves in water, and the solubility increases as the temperature rises.[ ] at . °, however, paratoluidine in contact with water melts, and two liquid phases are formed, viz. a solution of water in fused paratoluidine and a solution of fused paratoluidine in water. we have, therefore, the phenomenon of _melting under the solvent_. this melting point will, of course, be lower than the melting point of the pure substance, because the solid is now in contact with a solution, and, as we have already seen, addition of a foreign substance lowers the melting point. such cases of melting under the solvent are by no means rare, and a review of the relationships met with may, therefore, be undertaken here. as an example, there may be chosen the equilibrium between succinic nitrile, c_{ }h_{ }(cn)_{ } and water, which has been fully studied by schreinemakers.[ ] [illustration: fig. .] if to the system ice--water at ° succinic nitrile is added, the temperature will fall; and continued addition of the nitrile will lead at last to the cryohydric point _b_ (fig. ), at which solid nitrile, ice, solution, and vapour can coexist. the temperature of the cryohydric point is - . °, and the composition of the solution is . mol. of nitrile in mol. of solution. from _a_ to _b_ the solid phase in contact with the solution is ice. { } if the temperature be now raised so as to cause the disappearance of the ice, and the addition of nitrile be continued, the concentration of the nitrile in the solution will increase as represented by the curve _bc_. at the point _c_ ( . °), when the concentration of the nitrile in the solution has increased to . molecules per cent., the nitrile melts and two liquid phases are formed; the concentration of the nitrile in these two phases is given by the points _c_ and _c'_. as there are now four phases present, viz. solid nitrile, solution of fused nitrile in water, solution of water in fused nitrile, and vapour, the system is _invariant_. since at this point the concentration, temperature, and pressure are completely defined, addition or withdrawal of heat can only cause a change in the relative amounts of the phases, _but no variation of the concentrations_ of the respective phases. as a matter of fact, continued addition of nitrile and addition of heat will cause an increase in the amount of the liquid phase containing excess of nitrile (_i.e._ the solution of water in fused nitrile), whereas the other liquid phase, the solution of fused nitrile in water, will gradually disappear. when it has completely disappeared, the system will be represented by the point _c'_, where the molecular concentration of nitrile is now per cent., and again becomes univariant, the three phases being solid nitrile, liquid phase containing excess of nitrile, and vapour; and as the amount of the water is diminished the temperature of equilibrium rises, until at ° the melting point of the pure nitrile is reached. return now to the point c. at this point there exists the invariant system solid nitrile, two liquid phases, vapour. if heat be added, the solid nitrile will disappear, and there will be left the univariant system, consisting of two liquid phases and vapour.[ ] such a system will exhibit relationships similar to those already studied in the previous chapter. as the temperature rises, the mutual solubility of the two fused components becomes greater, until at _d_ ( . °) the critical solution temperature is reached, and the fused components become miscible in all proportions. at all temperatures and concentrations lying to the right { } of the curve _abcdc'e_ there can be only one liquid phase; in the field _cdc'_ there are two liquid phases. from the figure it will be easy to see what will be the result of bringing together succinic nitrile and water at different temperatures and in different amounts. since _b_ is the lowest temperature at which liquid can exist in stable equilibrium with solid, ice and succinic nitrile can be mixed in any proportions at temperatures below _b_ without undergoing change. between _b_ and _c_ succinic nitrile will be dissolved until the concentration reaches the value on the curve _bc_, corresponding to the given temperature. on adding the nitrile to water at temperatures between _c_ and _d_, it will dissolve until a concentration lying on the curve _cd_ is attained; at this point two liquid phases will be formed, and further addition of nitrile will cause the one liquid phase (that containing excess of nitrile) to increase, while the other liquid phase will decrease, until it finally disappears and there is only one liquid phase left, that containing excess of nitrile. this can dissolve further quantities of the nitrile, and the concentration will increase until the curve _c'e_ is reached, when the concentration will remain unchanged, and addition of solid will merely increase the amount of the solid phase. if a solution represented by any point in the field lying below the curve _bcd_ is heated to a temperature above _d_, the critical solution temperature, then the concentration of the nitrile can be increased to any desired amount without at any time two liquid phases making their appearance; the system can then be cooled down to a temperature represented by any point between the curves _dc'e_. in this way it is possible to pass continuously from a solution containing excess of one component to solutions containing excess of the other, as represented by the dotted line _xxxx_ (_v._ p. ). at no point is there formation of two liquid phases. supersaturation.--just as suspended transformation is rarely met with in the passage from the solid to the liquid state, so also it is found in the case of the melting of substances under the solvent that suspended fusion does not occur; but that when the temperature of the invariant point is reached at which, therefore, the formation of two liquid layers is possible, { } these two liquid layers, as a matter of fact, make their appearance. suspended transformation can, however, take place from the side of the liquid phase, just as water or other liquid can be cooled below the normal freezing point without solidification occurring. the question, therefore, arises as to the relative solubilities of the solid and the supercooled liquid at the same temperature. [illustration: fig. .] the answer to this question can at once be given from what we have already learned (p. ), if we recollect that at temperatures below the point of fusion under the solvent, the solid form, at temperatures above that point, the liquid form, is the more stable; at this temperature, therefore, the relative stability of the solid and liquid forms changes. since, as we have already seen, the less stable form has the greater solubility, it follows that the supercooled liquid, being the less stable form, must have the greater solubility. this was first proved experimentally by alexejeff[ ] in the case of benzoic acid and water, the solubility curves for which are given in fig. . as can be seen from the figure, the prolongation of the curve for liquid--liquid, which represents the solubility of the supercooled liquid benzoic acid, lies above that for the solubility of the { } solid benzoic acid in water; the solution saturated with respect to the supercooled liquid is therefore supersaturated with respect to the solid form. a similar behaviour has been found in the case of other substances.[ ] pressure-temperature diagram.--having considered the changes which occur in the concentration of the components in a solution with the temperature, we may conclude the discussion of the equilibrium between a salt and water by studying the variation of the vapour pressure. since in systems of two components the two phases, solution and vapour, constitute a bivariant system, the vapour pressure is undefined, and may have different values at the same temperature, depending on the concentration. in order that there may be for each temperature a definite corresponding pressure of the vapour, a third phase must be present. this condition is satisfied by the system solid--liquid (solution)--vapour; that is, by the saturated solution (p. ). in the case of a saturated solution, therefore, the pressure of the vapour at any given temperature is constant. vapour pressure of solid--solution--vapour.--it has long been known that the addition of a non-volatile solid to a liquid in which it is soluble lowers the vapour pressure of the solvent; and the diminution of the pressure is approximately proportional to the amount of substance dissolved (law of babo). the vapour-pressure curve, therefore, of a solution of a salt in water must lie below that for pure water. further, in the case of a pure liquid, the vaporization curve is a function only of the temperature (p. ), whereas, in the case of a solution, the pressure varies both with the temperature and the _concentration_. these two factors, however, act in opposite directions; for although the vapour pressure in all cases increases as the temperature rises, increase of concentration, as we have seen, lowers the vapour pressure. again, since the concentration itself varies with the temperature, two cases have to be considered, viz. where the concentration increases with rise of { } temperature, and where the concentration diminishes with rise of temperature. the relations which are found here will be best understood with the help of fig. .[ ] in this figure, ob represents the sublimation curve of ice, and bc the vaporization curve of water; the curve for the solution must lie below this, and must cut the sublimation curve of ice at some temperature below the melting point. the point of intersection a is the cryohydric point. if the solubility increases with rise of temperature, the increase of the vapour pressure due to the latter will be partially annulled. since at first the effect of increase of temperature more than counteracts the depressing action of increase of concentration, the vapour pressure will increase on raising the temperature above the cryohydric point. if the elevation of temperature is continued, however, to the melting point of the salt, the effect of increasing concentration makes itself more and more felt, so that the vapour-pressure curve of the solution falls more and more below that of the pure liquid, and the pressure will ultimately become equal to that of the pure salt; that is to say, practically equal to zero. the curve will therefore be of the general form amf shown in fig. . if the solubility should diminish with rise of temperature, the two factors, temperature and concentration, will act in the same direction, and the vapour-pressure curve will rise relatively more rapid than that of the pure liquid; since, however, the pure salt is ultimately obtained, the vapour-pressure curve must in this case also finally approach the value zero. [illustration: fig. .] other univariant systems.--besides the univariant system { } salt--solution--vapour already considered, three others are possible, viz. ice--solution--vapour, ice--salt--solution, and ice--salt--vapour. the fusion point of a substance is lowered, as we have seen, by the addition of a foreign substance, and the depression is all the greater the larger the quantity of substance added. the vapour pressure of the water, also, is lowered by the solution in it of other substances, so that the vapour pressure of the system ice--solution--vapour must decrease as the temperature falls from the fusion point of ice to the cryohydric point. this curve is represented by ba (fig. ), and is coincident with the sublimation curve of ice. this, at first sight, strange fact will be readily understood when we consider that since ice and solution are together in equilibrium with the same vapour, they must have the same vapour pressure. for suppose at any given temperature equilibrium to have been established in the system ice--solution--vapour, removal of the ice will not alter this equilibrium. suppose, now, the ice and the solution placed under a bell-jar so that they have a common vapour, but are not themselves in contact; then, if they do not have the same vapour pressure, distillation must take place and the solution will become more dilute or more concentrated. since, at the completion of this process, the ice and solution are now in equilibrium when they are not in contact, they must also be in equilibrium when they are in contact (p. ). but if distillation has taken place the concentration of the solution must have altered, so that the ice will now be in equilibrium with a solution of a different concentration from before. but according to the phase rule ice cannot at one and the same temperature be in equilibrium with two solutions of different concentration, for the system ice--solution--vapour is univariant, and at any given temperature, therefore, not only the pressure but also the _concentration of the components in the solution must be constant_. distillation could not, therefore, take place from the ice to the solution or _vice versâ_; that is to say, the solution and the ice must have the same vapour pressure--the sublimation pressure of ice. the reason of the coincidence is the non-volatility of the salt: had { } the salt a measurable vapour pressure itself, the sublimation curve of ice and the curve for ice--solution--vapour would no longer fall together. the curve ao represents the pressures of the system ice--salt--vapour. this curve will also be coincident with the sublimation curve of ice, on account of the non-volatility of the salt. the equilibria of the fourth univariant system ice--salt--solution are represented by ae. since this is a condensed system, the effect of a small change of temperature will be to cause a large change of pressure, as in the case of the fusion point of a pure substance. the direction of this curve will depend on whether there is an increase or diminution of volume on solidification; but the effect in any given case can be predicted with the help of the theorem of le chatelier. since the cryohydric point is a quadruple point in a two-component system, it represents an invariant system. the condition of the system is, therefore, completely defined; the four phases, ice, salt, solution, vapour, can co-exist only when the temperature, pressure, and concentration of the solution have constant and definite values. addition or withdrawal of heat, therefore, can cause no alteration of the condition of the system except a variation of the relative amounts of the phases. addition of heat at constant volume will ultimately lead to the system salt--solution--vapour or the system ice--solution--vapour, according as ice or salt disappears first. this is readily apparent from the diagram (fig. ), for the systems ice--salt--solution and ice--salt--vapour can exist only at temperatures below the cryohydric point (provided the curve for ice--salt--solution slopes towards the pressure axis). bivariant systems.--besides the univariant systems already discussed, various bivariant systems are possible, the conditions for the existence of which are represented by the different areas of fig. . they are as follows:-- _area._ _system._ oamf salt--vapour. cbamf solution--vapour; salt--solution. eabd salt--solution; ice--solution. eao ice--salt. { } deliquescence.--as is evident from fig. , salt can exist in contact with water vapour at pressures under those represented by oamf. if, however, the pressure of the vapour is increased until it reaches a value lying on this curve at temperatures above the cryohydric point, solution will be formed; for the curve amf represents the equilibria between salt--solution--vapour. from this, therefore, it is clear that if the pressure of the aqueous vapour in the atmosphere is greater than that of the saturated solution of a salt, that salt will, on being placed in the air, form a solution; it will _deliquesce_. separation of salt on evaporation.--with the help of fig. it is possible to state in a general manner whether or not salt will be deposited when a solution is evaporated under a constant pressure.[ ] the curve amf (fig. ) is the vapour-pressure curve of the saturated solutions of the salt, _i.e._ it represents, as we have seen, the maximum vapour pressure at which salt can exist in contact with solution and vapour. the dotted line _aa_ represents atmospheric pressure. if, now, an unsaturated solution, the composition of which is represented by the point _x_, is heated in an open vessel, the temperature will rise, and the vapour pressure of the solution will increase. the system will, therefore, pass along a line represented diagrammatically by _xx'_. at the point _x'_ the vapour pressure of the system becomes equal to atm.; and as the vessel is open to the air, the pressure cannot further rise; the solution boils. if the heating is continued, water passes off, the concentration increases, and the boiling point rises. the system will therefore pass along the line _x'm_, until at the point _m_ solid salt separates out (provided supersaturation is excluded). the system is now univariant, and continued heating will no longer cause an alteration of the concentration; as water passes off, solid salt will be deposited, and the solution will evaporate to dryness. if, however, the atmospheric pressure is represented not by _aa_ but by _bb_, then, as fig. shows, the maximum vapour { } pressure of the system salt--solution--vapour never reaches the pressure of atm. further, since the curve _bb_ lies in the area of the bivariant system solution--vapour there can at no point be a separation of the solid form; for the system solid--solution--vapour can exist only along the curve amf. on evaporating the solution of a salt in an open vessel, therefore, salt can be deposited only if at some temperature the pressure of the saturated solution is equal to the atmospheric pressure. this is found to be the case with most salts. in the case of aqueous solutions of sodium and potassium hydroxide, however, the vapour pressure of the saturated solution never reaches the value of atm., and on evaporating these solutions, therefore, in an open vessel, there is no separation of the solid. only a homogeneous fused mass is obtained. if, however, the evaporation be carried out under a pressure which is lower than the maximum pressure of the saturated solution, separation of the solid substance will be possible. general summary.--the systems which have been discussed in the present chapter contained water as one of their components, and an anhydrous salt as the other. it will, however, be clear that the relationships which were found in the case of these will be found also in other cases where it is a question of the equilibria between two components, which crystallize out in the pure state, and only one of which possesses a measurable vapour pressure. a similar behaviour will, for example, be found in the case of many pairs of organic substances; and in all cases the equilibria will be represented by a diagram of the general appearance of fig. or fig. . that is to say: starting from the fusion point of component i., the system will pass, by progressive addition of component ii., to regions of lower temperature, until at last the cryohydric or eutectic point is reached. on further addition of component ii., the system will pass to regions of higher temperature, the solid phase now being component ii. if the fused components are miscible with one another in all proportions a continuous curve will be obtained leading up to the point of fusion of component ii. slight changes of direction, it is true, due to changes in the crystalline form, may be found along this curve, { } but throughout its whole course there will be but one liquid phase. if, on the other hand, the fused components are not miscible in all proportions, then the second curve will exhibit a marked discontinuity, and two liquid phases will make their appearance. * * * * * { } chapter viii solutions of solids in liquids, only one of the components being volatile b.--hydrated salt and water. in the preceding chapter we discussed the behaviour of systems formed of two components, only one of which was volatile, in those cases where the two components separated from solution in the pure state. in the present chapter we shall consider those systems in which combination between the components can occur with the formation of definite compounds; such as are found in the case of crystalline salt hydrates. since a not inconsiderable amount of study has been devoted to the systems formed by hydrated salts and water, systems which are of great chemical interest and importance, the behaviour of these will first call for discussion in some detail, and it will be found later that the relationships which exist in such systems appear also in a large number of other two-component systems. the systems belonging to this group may be divided into two classes according as the compounds formed possess a definite melting point, _i.e._ form a liquid phase of the same composition, or do not do so. we shall consider the latter first. . _the compounds formed do not have a definite melting point._ concentration-temperature diagram.--in the case of salts which can form crystalline hydrates, the temperature-concentration diagram, representing the equilibria of the { } different possible systems, must necessarily be somewhat more complicated than where no such combination of the components occurs. for, as has already been pointed out, each substance has its own solubility curve; and there will therefore be as many solubility curves as there are solid phases possible, _the curve for each particular solid phase being continuous so long as it remains unchanged in contact with the solution_. as an example of the relationships met with in such cases, we shall first of all consider the systems formed of sodium sulphate and water. [illustration: fig. .] sodium sulphate and water.--at the ordinary temperatures, sodium sulphate crystallises from water with ten molecules of water of crystallisation, forming glauber's salt. on determining the solubility of this salt in water, it is found that the solubility increases as the temperature rises, the values of the solubility, represented graphically by the curve ac (fig. ), being given in the following table.[ ] the numbers denote grams of sodium sulphate, calculated as anhydrous salt, dissolved by grams of water. solubility of na_{ }so_{ }, h_{ }o. -------------------------- temperature. | solubility. -------------------------- ° | . ° | . ° | . ° | . ° | . ° | . ° | . ° | . ° | . -------------------------- { } on continuing the investigation at higher temperatures, it was found that the solubility no longer increased, but _decreased with rise of temperature_. at the same time, it was observed that the solid phase was now different from that in contact with the solution at temperatures below °; for whereas in the latter case the solid phase was sodium sulphate decahydrate, at temperatures above ° the solid phase was the anhydrous salt. the course of the solubility curve of anhydrous sodium sulphate is shown by bd, and the values of the solubility are given in the following table:--[ ] solubility of anhydrous sodium sulphate. -------------------------- temperature. | solubility. -------------------------- ° | . ° | . ° | . ° | . ° | . ° | . ° | . . ° | . . ° | . -------------------------- as is evident from the figure, the solubility curve which is obtained when anhydrous sodium sulphate is present as the solid phase, cuts the curve representing the solubility of the decahydrate, at a temperature of about °. if a solution of sodium sulphate which has been saturated at a temperature of about ° be cooled down to a temperature below °, while care is taken that the solution is protected against access of particles of glauber's salt, crystals of a second hydrate of sodium sulphate, having the composition na_{ }so_{ }, h_{ }o, separate out. on determining the composition of the solutions in equilibrium with this hydrate at different temperatures, the following values were obtained, these values being represented by the curve fe (fig. ):-- { } solubility of na_{ }so_{ }, h_{ }o. -------------------------- temperature. | solubility. -------------------------- ° | . ° | . ° | . ° | . ° | . ° | . ° | . -------------------------- since, as has already been stated, each solid substance has its own solubility curve, there are three separate curves to be considered in the case of sodium sulphate and water. where two curves cut, the solution must be saturated with respect to two solid phases; at the point b, therefore, the point of intersection of the solubility curve of anhydrous sodium sulphate with that of the decahydrate, the solution must be saturated with respect to these two solid substances. but a system of two components existing in four phases, anhydrous salt--hydrated salt--solution--vapour, is invariant; and this invariability will remain even if only three phases are present, provided that one of the factors, pressure, temperature, or concentration of components retains a constant value. this is the case when solubilities are determined in open vessels; the pressure is then equal to atmospheric pressure. under these circumstances, then, the system, anhydrous sodium sulphate--decahydrate--solution, will possess no degree of freedom, and can exist, therefore, only at one definite temperature and when the solution has a certain definite composition. the temperature of this point is . ° on a mercury thermometer, or . ° on the hydrogen thermometer.[ ] { } suspended transformation.--although it is possible for the anhydrous salt to make its appearance at the temperature of the quadruple point, it will not necessarily do so; and it is therefore possible to follow the solubility curve of sodium sulphate decahydrate to a higher temperature. since, however, the solubility of the decahydrate at temperatures above the quadruple point is greater than that of the anhydrous salt, the solution which is _saturated_ with respect to the former will be _supersaturated_ with respect to the latter. on bringing a small quantity of the anhydrous salt in contact with the solution, therefore, anhydrous salt will be deposited; and all the hydrated salt present will ultimately undergo conversion into the anhydrous salt, through the medium of the solution. in this case, as in all cases, the solid phase, which is the most stable at the temperature of the experiment, has at that temperature the least solubility. similarly, the solubility curve of anhydrous sodium sulphate has been followed to temperatures below . °. below this temperature, however, the solubility of this salt is greater than that of the decahydrate, and the saturated solution of the anhydrous salt will therefore be supersaturated for the decahydrate, and will deposit this salt if a "nucleus" is added to the solution. from this we see that at temperatures above . ° the anhydrous salt is the stable form, while the decahydrate is unstable (or metastable); at temperatures below . ° the decahydrate is stable. this temperature, therefore, is the _transition temperature_ for decahydrate and anhydrous salt. from fig. we see further that the solubility curve of the anhydrous salt (which at all temperatures below . ° is metastable) is cut by the solubility curve of the heptahydrate; and this point of intersection (at a temperature of . °) must be the _transition point_ for heptahydrate and anhydrous salt. since at all temperatures the solubility of the heptahydrate is greater than that of the decahydrate, the former hydrate must be metastable with respect to the latter; so that throughout its whole course the solubility curve of the heptahydrate { } represents only metastable equilibria. sodium sulphate, therefore, forms only one stable hydrate, the decahydrate. the solubility relations of sodium sulphate illustrate very clearly the importance of the solid phase for the definition of saturation and supersaturation. since the solubility curve of the anhydrous salt has been followed backwards to a temperature of about °, it is readily seen, from fig. , that at a temperature of, say, ° three different _saturated_ solutions of sodium sulphate are possible, according as the anhydrous salt, the heptahydrate or the decahydrate, is present as the solid phase. two of these solutions, however, would be metastable and _supersaturated with respect to the decahydrate_. further, the behaviour of sodium sulphate and water furnishes a very good example of the fact that a "break" in the solubility curve occurs when, and only when, the solid phase undergoes change. so long as the decahydrate, for example, remained unaltered in contact with the solution, the solubility curve was continuous; but when the anhydrous salt appeared in the solid phase, a distinct change in the direction of the solubility curve was observed. dehydration by means of anhydrous sodium sulphate.--the change in the relative stability of sodium sulphate decahydrate and anhydrous salt in presence of water at a temperature of . ° explains why the latter salt cannot be employed for dehydration purposes at temperatures above the transition point. the dehydrating action of the anhydrous salt depends on the formation of the decahydrate; but since at temperatures above ° the latter is unstable, and cannot be formed in presence of the anhydrous salt, this salt cannot, of course, effect a dehydration above that temperature. pressure-temperature diagram.--the consideration of the pressure-temperature relations of the two components, sodium sulphate and water, must include not only the vapour pressure of the saturated solutions, but also that of the crystalline hydrates. the vapour pressures of salt hydrates have already been treated in a general manner (chap. v.), so that it is only necessary here to point out the connection between the two classes of systems. { } in most cases the vapour pressure of a salt hydrate, _i.e._ the vapour pressure of the system hydrate--anhydrous salt (or lower hydrate)--vapour, is at all temperatures lower than that of the system anhydrous salt (or lower hydrate)--solution--vapour. this, however, is not a necessity; and cases are known where the vapour pressure of the former system is, under certain circumstances, equal to or higher than that of the latter. an example of this is found in sodium sulphate decahydrate. on heating na_{ }so_{ }, h_{ }o, a point is reached at which the dissociation pressure into anhydrous salt and water vapour becomes equal to the vapour pressure of the saturated solution of the anhydrous salt, as is apparent from the following measurements;[ ] the differences in pressure being expressed in millimetres of a particular oil. temperature: . ° . ° . ° . ° . ° . ° difference of pressure: . . . . . at . °, therefore, the vapour pressures of the two systems na_{ }so_{ }, h_{ }o--na_{ }so_{ }--vapour na_{ }so_{ }--solution--vapour are equal; at this temperature the four phases, na_{ }so_{ }, h_{ }o; na_{ }so_{ }; solution; vapour, can coexist. from this it is evident that when sodium sulphate decahydrate is heated to . °, the two new phases anhydrous salt and solution will be formed (suspended transformation being supposed excluded), and the hydrate will appear to undergo _partial fusion_; and during the process of "melting" the vapour pressure and temperature will remain constant.[ ] this is, however, not a true but a so-called _incongruent_ melting point; for the composition of the liquid phase is not the same as that of the solid. as has already been pointed out (p. ), we are dealing here with the _transition point_ of the decahydrate and anhydrous salt, _i.e._ with the reaction na_{ }so_{ }, h_{ }o <--> na_{ }so_{ } + h_{ }o. since at the point of partial fusion of the decahydrate four { } phases can coexist, the point is a quadruple point in a two-component system, and the system at this point is therefore invariant. the temperature of this point is therefore perfectly definite, and on this account the proposal has been made to adopt this as a fixed point in thermometry.[ ] the temperature is, of course, practically the same as that at which the two solubility curves intersect (p. ). if, however, the vapour phase disappears, the system becomes univariant, and the equilibrium temperature undergoes change with change of pressure. the transition curve has been determined by tammann,[ ] and shown to pass through a point of maximum temperature. [illustration: fig. .] the vapour pressure of the different systems of sodium sulphate and water can best be studied with the help of the diagram in fig. .[ ] the curve abcd represents the vapour-pressure curve of the saturated solution of anhydrous sodium sulphate. gc is the pressure curve of decahydrate + anhydrous salt, which, as we have seen, cuts the curve abcd at the transition temperature, . °. since at this point the solution is saturated with respect to both the anhydrous salt and the decahydrate, the vapour-pressure curve of the saturated solution of the latter must also pass through the point c.[ ] as at temperatures below this point the solubility of the decahydrate is less than that of the anhydrous salt, the vapour pressure of the solution will, in accordance with babo's law (p. ), be higher than that of the solution of the anhydrous salt; which was also found experimentally to be the case (curve hc). { } in connection with the vapour pressure of the saturated solutions of the anhydrous salt and the decahydrate, attention must be drawn to a conspicuous deviation from what was found to hold in the case of one-component systems in which a vapour phase was present (p. ). there, it was seen that the vapour pressure of the more stable system was always _lower_ than that of the less stable; in the present case, however, we find that this is no longer so. we have already learned that at temperatures below . ° the system decahydrate--solution--vapour is more stable than the system anhydrous salt--solution--vapour; but the vapour pressure of the latter system is, as has just been stated, lower than that of the former. at temperatures above the transition point the vapour pressure of the saturated solution of the decahydrate will be lower than that of the saturated solution of the anhydrous salt. this behaviour depends on the fact that the less stable form is the more soluble, and that the diminution of the vapour pressure increases with the amount of salt dissolved. with regard to sodium sulphate heptahydrate the same considerations will hold as in the case of the decahydrate. since at ° the four phases heptahydrate, anhydrous salt, solution, vapour can coexist, the vapour-pressure curves of the systems hydrate--anhydrous salt--vapour (curve eb) and hydrate--solution--vapour (curve fb) must cut the pressure curve of the saturated solution of the anhydrous salt at the above temperature, as represented in fig. by the point b. this constitutes, therefore, a second quadruple point, which is, however, metastable. from the diagram it is also evident that the dissociation pressure of the heptahydrate is higher than that of the decahydrate, although it contains less water of crystallization. the system heptahydrate--anhydrous salt--vapour must be metastable with respect to the system decahydrate--anhydrous salt--vapour, and will pass into the latter.[ ] whether or not there is a temperature at which the vapour-pressure curves of the two systems intersect, and below which the heptahydrate becomes the more stable form, is not known. { } in the case of sodium sulphate there is only one stable hydrate. other salts are known which exhibit a similar behaviour; and we shall therefore expect that the solubility relationships will be represented by a diagram similar to that for sodium sulphate. a considerable number of such cases have, indeed, been found,[ ] and in some cases there is more than one metastable hydrate. this is found, for example, in the case of nickel iodate,[ ] the solubility curves for which are given in fig. . as can be seen from the figure, suspended transformation occurs, the solubility curves having in some cases been followed to a considerable distance beyond the transition point. one of the most brilliant examples, however, of suspended transformation in the case of salt hydrates, and the sluggish transition from the less stable to the more stable form, is found in the case of the hydrates of calcium chromate.[ ] [illustration: fig. .] in the preceding cases, the dissociation-pressure curve of the hydrated salt cuts the vapour-pressure curve of the saturated { } solution of the anhydrous salt. it can, however, happen that the dissociation-pressure curve of one hydrate cuts the solubility curve, not of the anhydrous salt, but of a lower hydrate; in this case there will be more than one stable hydrate, each having a stable solubility curve; and these curves will intersect at the temperature of the transition point. various examples of this behaviour are known, and we choose for illustration the solubility relationships of barium acetate and its hydrates[ ] (fig. ). [illustration: fig. .] at temperatures above °, barium acetate can form two stable hydrates, a trihydrate and a monohydrate. the solubility of the trihydrate increases very rapidly with rise of temperature, and has been determined up to . °. at temperatures above . °, however, the trihydrate is metastable with respect to the monohydrate; for at this temperature the solubility curve of the latter hydrate cuts that of the former. this is, therefore, the transition temperature for the trihydrate and monohydrate. the solubility curve of the monohydrate succeeds that of the trihydrate, and exhibits a conspicuous point of minimum solubility at about °. below . ° the { } monohydrate is the less stable hydrate, but its solubility has been determined to a temperature of °. at ° the solubility curve of the monohydrate intersects that of the anhydrous salt, and this is therefore the transition temperature for the monohydrate and anhydrous salt. above this temperature the anhydrous salt is the stable solid phase. its solubility curve also passes through a minimum. the diagram of solubilities of barium acetate not only illustrates the way in which the solubility curves of the different stable hydrates of a salt succeed one another, but it has also an interest and importance from another point of view. in fig. there is also shown a faintly drawn curve which is continuous throughout its whole course. this curve represents the solubility of barium acetate as determined by krasnicki.[ ] since, however, three different solid phases can exist under the conditions of experiment, it is evident, from what has already been stated (p. ), that the different equilibria between barium acetate and water could not be represented by one _continuous_ curve. another point which these experiments illustrate and which it is of the highest importance to bear in mind is, that in making determinations of the solubility of salts which are capable of forming hydrates, it is not only necessary to determine the composition of the solution, but _it is of equal importance to determine the composition of the solid phase in contact with it_. in view of the fact, also, that the solution equilibrium is in many cases established with comparative slowness, it is necessary to confirm the point of equilibrium, either by approaching it from higher as well as from lower temperatures, or by actually determining the rate with which the condition of equilibrium is attained. this can be accomplished by actual weighing of the dissolved salt or by determinations of the density of the solution, as well as by other methods. { } . _the compounds formed have a definite melting point._ in the cases which have just been considered we saw that the salt hydrates on being heated did not undergo complete fusion, but that a solid was deposited consisting of a lower hydrate or of the anhydrous salt. it has, however, been long known that certain crystalline salt hydrates (_e.g._ sodium thiosulphate, na_{ }s_{ }o_{ }, h_{ }o, sodium acetate, nac_{ }h_{ }o_{ }, h_{ }o) melt completely in their water of crystallization, and yield a liquid of the _same composition_ as the crystalline salt. in the case of sodium thiosulphate pentahydrate the temperature of liquefaction is °; in the case of sodium acetate trihydrate, °. these two salts, therefore, have a definite melting point. for the purpose of studying the behaviour of such salt hydrates, we shall choose not the cases which have just been mentioned, but two others which have been more fully studied, viz. the hydrates of calcium chloride and of ferric chloride. solubility curve of calcium chloride hexahydrate.[ ]--although calcium chloride forms several hydrates, each of which possesses its own solubility, it is nevertheless the solubility curve of the hexahydrate which will chiefly interest us at present, and we shall therefore first discuss that curve by itself. [illustration: fig. .] the solubility of this salt has been determined from the cryohydric point, which lies at about - °, up to the melting point of the salt.[ ] the solubility increases with rise of temperature, as is shown by the figures in the following table, and by the (diagrammatic) curve ab in fig. . in the table, the numbers under the heading "solubility" denote the number of grams of cacl_{ } dissolved in grams { } of water; those under the heading "composition," the number of gram-molecules of water in the solution to one gram-molecule of cacl_{ }. solubility of calcium chloride hexahydrate. ----------------------------------------- temperature. | solubility. | composition. ----------------------------------------- - ° | . | . - ° | . | . - ° | . | . ° | . | . ° | . | . ° | . | . ° | . | . . ° | . | . . ° | . | . . ° | . | . . ° | . | . . ° | . | . ----------------------------------------- so far as the first portion of the curve is concerned, it resembles the most general type of solubility curve. in the present case the solubility is so great and increases so rapidly with rise of temperature, that a point is reached at which the water of crystallization of the salt is sufficient for its complete solution. this temperature is . °; and since the composition of the solution is the same as that of the solid salt, viz. mol. of cacl_{ } to mols. of water, this temperature must be the melting point of the hexahydrate. at this point the hydrate will fuse or the solution will solidify without change of temperature and without change of composition. such a melting point is called a _congruent_ melting point. but the solubility curve of calcium chloride hexahydrate differs markedly from the other solubility curves hitherto considered in that it possesses a _retroflex portion_, represented in the figure by bc. as is evident from the figure, therefore, calcium chloride hexahydrate exhibits the peculiar and, as it was at first thought, impossible behaviour that it can be in equilibrium at one and the same temperature with two different solutions, one of which contains more, the other less, water than the solid hydrate; for it must be remembered that { } throughout the whole course of the curve abc the solid phase present in equilibrium with the solution is the hexahydrate. such a behaviour, however, on the part of calcium chloride hexahydrate will appear less strange if one reflects that the melting point of the hydrate will, like the melting point of other substances, be lowered by the addition of a second substance. if, therefore, water is added to the hydrate at its melting point, the temperature at which the solid hydrate will be in equilibrium with the liquid phase (solution) will be lowered; or if, on the other hand, anhydrous calcium chloride is added to the hydrate at its melting point (or what is the same thing, if water is removed from the solution), the temperature at which the hydrate will be in equilibrium with the liquid will also be lowered; _i.e._ the hydrate will melt at a lower temperature. in the former case we have the hydrate in equilibrium with a solution containing more water, in the latter case with a solution containing less water than is contained in the hydrate itself. it has already been stated (p. ) that the solubility curve (in general, the equilibrium curve) is continuous so long as the solid phase remains unchanged; and we shall therefore expect that the curve abc will be continuous. formerly, however, it was considered by some that the curve was not continuous, but that the melting point is the point of intersection of two curves, a solubility curve and a fusion curve. although the earlier solubility determinations were insufficient to decide this point conclusively, more recent investigation has proved beyond doubt that the curve is continuous and exhibits no break.[ ] { } although in taking up the discussion of the equilibria between calcium chloride and water, it was desired especially to call attention to the form of the solubility curve in the case of salt hydrates possessing a definite melting point, nevertheless, for the sake of completeness, brief mention may be made of the other systems which these two components can form. [illustration: fig. .] besides the hexahydrate, the solubility curve of which has already been described, calcium chloride can also crystallize in two different forms, each of which contains four molecules { } of water of crystallization; these are distinguished as [alpha]-tetrahydrate, and [beta]-tetrahydrate. two other hydrates are also known, viz. a dihydrate and a monohydrate. the solubility curves of these different hydrates are given in fig. . on following the solubility curve of the hexahydrate from the ordinary temperature upwards, it is seen that at a temperature of . ° represented by the point h, it cuts the solubility curve of the [alpha]-tetrahydrate. this point is therefore a quadruple point at which the four phases hexahydrate, [alpha]-tetrahydrate, solution, and vapour can coexist. it is also the transition point for these two hydrates. since, at temperatures above . °, the [alpha]-tetrahydrate is the stable form, it is evident from the data given before (p. ), as also from fig. , that the portion of the solubility curve of the hexahydrate lying above this temperature represents _metastable_ equilibria. the realization of the metastable melting point of the hexahydrate is, therefore, due to suspended transformation. at the transition point, . °, the solubility of the hexahydrate and [alpha]-tetrahydrate is . parts of cacl_{ } in parts of water. the retroflex portion of the solubility curve of the hexahydrate extends to only ° below the melting point of the hydrate. at . ° crystals of a new hydrate, [beta]-tetrahydrate, separate out, and the solution, which now contains . parts of cacl_{ } to parts of water, is saturated with respect to the two hydrates. throughout its whole extent the solubility curve edf of the [beta]-tetrahydrate represents metastable equilibria. the upper limit of the solubility curve of [beta]-tetrahydrate is reached at . ° (f), the point of intersection with the curve for the dihydrate. above . ° the stable hydrate is the [alpha]-tetrahydrate; and its solubility curve extends to . ° (k), at which temperature it cuts the solubility curve of the dihydrate. the curve of the latter hydrate extends to . ° (l), and is then succeeded by the curve for the monohydrate. the solubility curve of the anhydrous salt does not begin until a temperature of about °. the whole diagram, therefore, shows a succession of stable hydrates, a metastable hydrate, a metastable melting point and retroflex solubility curve. { } pressure-temperature diagram.--the complete study of the equilibria between the two components calcium chloride and water would require the discussion of the vapour pressure of the different systems, and its variation with the temperature. for our present purpose, however, such a discussion would not be of great value, and will therefore be omitted here; in general, the same relationships would be found as in the case of sodium sulphate (p. ), except that the rounded portion of the solubility curve of the hexahydrate would be represented by a similar rounded portion in the pressure curve.[ ] as in the case of sodium sulphate, the transition points of the different hydrates would be indicated by breaks in the curve of pressures. finally, mention may again be made of the difference of the pressure of dissociation of the hexahydrate according as it becomes dehydrated to the [alpha]- or the [beta]-tetrahydrate (p. ). the indifferent point.--we have already seen that at . ° calcium chloride hexahydrate melts congruently, and that, provided the pressure is maintained constant, addition or withdrawal of heat will cause the complete liquefaction or solidification, without the temperature of the system undergoing change. this behaviour, therefore, is similar to, but is not quite the same as the fusion of a simple substance such as ice; and the difference is due to the fact that in the case of the hexahydrate the emission of vapour by the liquid phase causes an alteration in the composition of the latter, owing to the non-volatility of the calcium chloride; whereas in the case of ice this is, of course, not so. consider, however, for the present that the vapour phase is absent, and that we are dealing with the two-phase system solid--solution. then, since there are two components, the system is bivariant. for any given value of the pressure, therefore, we should expect that the system could exist at different temperatures; which, indeed, is the case. it has, however, already been noted that when the composition of the liquid phase becomes the same as that of the solid, the system then behaves as a _univariant_ system; for, at a given pressure, the system solid--solution can exist only at _one_ temperature, change of temperature producing complete transformation in { } one or other direction. _the variability of the system has therefore been diminished._ this behaviour will perhaps be more clearly understood when one reflects that since the composition of the two phases is the same, the system may be regarded as being formed of _one component_, just as the system nh_{ }cl <--> nh_{ } + hcl was regarded as being composed of one component when the vapour had the same total composition as the solid (p. ). one component in two phases, however, constitutes a univariant system, and we can therefore see that calcium chloride hexahydrate in contact with solution of the same composition will constitute a univariant system. the temperature of equilibrium will, however, vary with the pressure;[ ] if the latter is constant, the temperature will also be constant. a point such as has just been referred to, which represents the special behaviour of a system of two (or more) components, in which the composition of two phases becomes identical, is known as an _indifferent point_,[ ] and it has been shown[ ] that at a given pressure the temperature in the indifferent point is the _maximum_ or _minimum_ temperature possible at the particular pressure[ ] (cf. critical solution temperature). at such a point a system loses one degree of freedom, or behaves like a system of the next lower order. the hydrates of ferric chloride.--a better illustration of the formation of compounds possessing a definite melting point, and of the existence of retroflex solubility curves, is afforded by the hydrates of ferric chloride, which not only possess definite points of fusion, but these melting points are stable. a very brief description of the relations met with will suffice.[ ] { } ferric chloride can form no less than four stable hydrates, viz. fe_{ }cl_{ }, h_{ }o, fe_{ }cl_{ }, h_{ }o, fe_{ }cl_{ }, h_{ }o, and fe_{ }cl_{ }, h_{ }o, and each of these hydrates possesses a definite, stable melting point. on analogy with the behaviour of calcium chloride, therefore, we shall expect that the solubility curves of these different hydrates will exhibit a series of _temperature maxima_; the points of maximum temperature representing systems in which the composition of the solid and liquid phases is the same. a graphical representation of the solubility relations is given in fig. , and the composition of the different saturated solutions which can be formed is given in the following tables, the composition being expressed in molecules of fe_{ }cl_{ } to molecules of water. the figures printed in thick type refer to transition and melting points. [illustration: fig. .] { } composition of the saturated solutions of ferric chloride and its hydrates. (_the name placed at the head of each table is the solid phase._) ice. --------------------------- temperature. | composition. --------------------------- ±- ° | ± . - ° | . - . ° | . - . ° | . - ° | . ° | --------------------------- fe_{ }cl_{ }, h_{ }o. --------------------------- temperature. | composition. --------------------------- - ° | ± . - ° | . - ° | . ° | . ° | . ° | . ° | . ° | . . ° | . ° | . ° | . ° | . ° | . · ° | . ° | . ° | . ° | . --------------------------- fe_{ }cl_{ }, h_{ }o. --------------------------- temperature. | composition. --------------------------- ° | . · ° | . ° | . . ° | . ° | . ° | . --------------------------- fe_{ }cl_{ }, h_{ }o. --------------------------- temperature. | composition. --------------------------- ° | . ° | . ° | . ° | . ° | . ° | . ° | . ° | . ° | . ° | . --------------------------- fe_{ }cl_{ }, h_{ }o --------------------------- temperature. | composition. --------------------------- ° | . ° | . ° | . ° | . ° | . . ° | . . ° | . . ° | . ° | . ° | . --------------------------- fe_{ }cl_{ } (anhydrous). --------------------------- temperature. | composition. --------------------------- ° | . ° | . ° | . ° | . ° | . ° | . --------------------------- the lowest portion of the curve, ab, represents the equilibria between ice and solutions containing ferric chloride. it represents, in other words, the lowering of the fusion point of ice by addition of ferric chloride. at the point b (- °), the cryohydric point (p. ) is reached, at which the solution is in equilibrium with ice and ferric chloride dodecahydrate. as { } has already been shown, such a point represents an invariant system; and the liquid phase will, therefore, solidify to a mixture of ice and hydrate without change of temperature. if heat is added, ice will melt and the system will pass to the curve bcdn, which is the solubility curve of the dodecahydrate. at c ( °), the point of maximum temperature, the hydrate melts completely. the retroflex portion of this curve can be followed backwards to a temperature of °, but below . ° (d), the solutions are supersaturated with respect to the heptahydrate; point d is the eutectic point for dodecahydrate and heptahydrate. the curve def is the solubility curve of the heptahydrate, e being the melting point, . °. on further increasing the quantity of ferric chloride, the temperature of equilibrium is lowered until at f ( °) another eutectic point is reached, at which the heptahydrate and pentahydrate can co-exist with solution. then follow the solubility curves for the pentahydrate, the tetrahydrate, and the anhydrous salt; g ( °) is the melting point of the former hydrate, j ( . °) the melting point of the latter. h and k, the points at which the curves intersect, represent eutectic points; the temperature of the former is °, that of the latter °. the dotted portions of the curves represent metastable equilibria. as is seen from the diagram, a remarkable series of solubility curves is obtained, each passing through a point of maximum temperature, the whole series of curves forming an undulating "festoon." to the right of the series of curves the diagram represents unsaturated solutions; to the left, supersaturated. if an unsaturated solution, the composition of which is represented by a point in the field to the right of the solubility curves, is cooled down, the result obtained will differ according as the composition of the solution is the same as that of a cryohydric point, or of a melting point, or has an intermediate value. thus, if a solution represented by _x__{ } is cooled down, the composition will remain unchanged as indicated by the horizontal dotted line, until the point d is reached. at this point, dodecahydrate and heptahydrate will separate out, and the liquid will ultimately solidify completely to a mixture or "conglomerate" of these two hydrates; the temperature of { } the system remaining constant until complete solidification has taken place. if, on the other hand, a solution of the composition _x__{ } is cooled down, ferric chloride dodecahydrate will be formed when the temperature has fallen to that represented by c, and the solution will completely solidify, without alteration of temperature, with formation of this hydrate. in both these cases, therefore, a point is reached at which complete solidification occurs without change of temperature. somewhat different, however, is the result when the solution has an intermediate composition, as represented by _x__{ } or _x__{ }. in the former case the dodecahydrate will first of all separate out, but on further withdrawal of heat the temperature will fall, the solution will become relatively richer in ferric chloride, owing to separation of the hydrate, and ultimately the eutectic point d will be reached, at which complete solidification will occur. similarly with the second solution. ferric chloride dodecahydrate will first be formed, and the temperature will gradually fall, the composition of the solution following the curve cb until the cryohydric point b is reached, when the whole will solidify to a conglomerate of ice and dodecahydrate. suspended transformation.--not only can the upper branch of the solubility curve of the dodecahydrate be followed backwards to a temperature of °, or about ° below the temperature of transition to the heptahydrate; but suspended transformation has also been observed in the case of the heptahydrate and the pentahydrate. to such an extent is this the case that the solubility curve of the latter hydrate has been followed downwards to its point of intersection with the curve for the dodecahydrate. this point of intersection, represented in fig. by m, lies at a temperature of about °; and at this temperature, therefore, it is possible for the two solid phases dodecahydrate and pentahydrate to coexist, so that m is a eutectic point for the dodecahydrate and the pentahydrate. it is, however, a metastable eutectic point, for it lies in the region of supersaturation with respect to the heptahydrate; and it can be realized only because of the fact that the latter hydrate is not readily formed. evaporation of solutions at constant temperature.--on { } evaporating dilute solutions of ferric chloride at constant temperature, a remarkable series of changes is observed, which, however, will be understood with the help of fig. . suppose an unsaturated solution, the composition of which is represented by the point _x__{ }, is evaporated at a temperature of about ° - °. as water passes off, the composition of the solution will follow the dotted line of constant temperature, until at the point where it cuts the curve bc the solid hydrate fe_{ }cl_{ }, h_{ }o separates out. as water continues to be removed, the hydrate must be deposited (in order that the solution shall remain saturated), until finally the solution dries up to the hydrate. as dehydration proceeds, the heptahydrate can be formed, and the dodecahydrate will finally pass into the heptahydrate; and this, in turn, into the pentahydrate. [illustration: fig. .] but the heptahydrate is not always formed by the dehydration of the dodecahydrate, and the behaviour on evaporation is therefore somewhat perplexing at first sight. after the solution has dried to the dodecahydrate, as explained above, further removal of water causes liquefaction, and the system is now represented by the point of intersection at _a_; at this point the solid hydrate is in equilibrium with a solution containing relatively more ferric chloride. if, therefore, evaporation is continued, the solid hydrate must _pass into solution_ in order that the composition of the latter may remain unchanged, so that ultimately a liquid will again be obtained. a very slight further dehydration will bring the solution into the state represented by _b_, at which the pentahydrate is formed, and the solution will at last disappear and leave this hydrate alone. without the information to be obtained from the curves in figs. and , the phenomena which would be observed on carrying out the evaporation at a temperature of about - ° { } would be still more bewildering. the composition of the different solutions formed will be represented by the perpendicular line _x__{ } . evaporation will first cause the separation of the dodecahydrate, and then total disappearance of the liquid phase. then liquefaction will occur, and the system will now be represented by the point , in which condition it will remain until the solid hydrate has disappeared. following this there will be deposition of the heptahydrate (point ), with subsequent disappearance of the liquid phase. further dehydration will again cause liquefaction, when the concentration of the solution will be represented by the point ; the heptahydrate will ultimately disappear, and then will ensue the deposition of the pentahydrate, and complete solidification will result. on evaporating a solution, therefore, of the composition _x__{ }, the following series of phenomena will be observed: solidification to dodecahydrate; liquefaction; solidification to heptahydrate; liquefaction; solidification to pentahydrate.[ ] although ferric chloride and water form the largest and best-studied series of hydrates possessing definite melting points, examples of similar hydrates are not few in number; and more careful investigation is constantly adding to the list.[ ] in all these cases the solubility curve will show a point of maximum temperature, at which the hydrate melts, and will end, above and below, in a cryohydric point. conversely, if such a curve is found in a system of two components, we can argue that a definite compound of the components possessing a definite melting point is formed. inevaporable solutions.--if a saturated solution in contact with two hydrates, or with a hydrate and anhydrous salt is heated, the temperature and composition of the solution will, of course, remain unchanged so long as the two solid phases are present, for such a system is invariant. in addition to this, however, the _quantity_ of the solution will also remain unchanged, the water which evaporates being supplied by the higher hydrate. the same phenomenon is also observed in the case of cryohydric points when ice is a solid phase; so long as the latter is present, evaporation will be accompanied { } by fusion of the ice, and the quantity of solution will remain constant. such solutions are called _inevaporable_.[ ] [illustration: fig. .] illustration.--in order to illustrate the application of the principles of the phase rule to the study of systems formed by a volatile and a non-volatile component, a brief description may be given of the behaviour of sulphur dioxide and potassium iodide, which has formed the subject of a recent investigation. after it had been found[ ] that liquid sulphur dioxide has the property of dissolving potassium iodide, and that the solutions thus obtained present certain peculiarities of behaviour, the question arose as to whether or not compounds are formed between the sulphur dioxide and the potassium iodide, and if so, what these compounds are. to find an answer to this question, walden and centnerszwer[ ] made a complete investigation of the solubility curves (equilibrium curves) of these two components, the investigation extending from the freezing point to the critical point of sulphur dioxide. for convenience of reference, the results which they obtained are represented diagrammatically in fig. . the freezing point (a) of pure sulphur dioxide was found to be - . °. addition of potassium iodide lowered the freezing point, but the maximum depression obtained was very small, and was reached when the concentration of the potassium iodide in the solution was only . mols. per cent. beyond this point, an increase in the concentration of the iodide was accompanied by an elevation of the freezing point, the change of the freezing point with the concentration being represented by the curve bc. the solid { } which separated from the solutions represented by bc was a bright _yellow_ crystalline substance. at the point c (- . °) a temperature-maximum was reached; and as the concentration of the potassium iodide was continuously increased, the temperature of equilibrium first fell and then slowly rose, until at + . ° (e) a second temperature-maximum was registered. on passing the point d, the solid which was deposited from the solution was a _red_ crystalline substance. on withdrawing sulphur dioxide from the system, the solution became turbid, and the temperature remained constant. the investigation was not pursued farther at this point, the attention being then directed to the equilibria at higher temperatures. when a solution of potassium iodide in liquid sulphur dioxide containing . per cent. of potassium iodide was heated, solid (potassium iodide) was deposited at a temperature of . °. solutions containing more than about per cent. of the iodide separated, on being heated, into two layers, and the temperature at which the liquid became heterogeneous fell as the concentration was increased; a temperature-minimum being obtained with solutions containing per cent. of potassium iodide. on the other hand, solutions containing . per cent. of the iodide, on being heated, deposited potassium iodide; while a solution containing . per cent. of the salt first separated into two layers at . °, and then, on cooling, solid was deposited and one of the liquid layers disappeared. such are, in brief, the results of experiment; their interpretation in the light of the phase rule is the following:-- the curve ab is the freezing-point curve of solid sulphur dioxide in contact with solutions of potassium iodide. bcd is the solubility curve of the yellow crystalline solid which is deposited from the solutions. c, the temperature-maximum, is the melting point of this _yellow_ solid, and the composition of the latter must be the same as that of the solution at this point (p. ), which was found to be that represented by the formula ki, so_{ }. b is therefore the eutectic point, at which solid sulphur dioxide and the compound ki, so_{ } can exist together in equilibrium with solution and vapour. the curve de is the solubility curve of the _red_ crystalline solid, and the { } point e, at which the composition of solution and solid is the same, is the melting point of the solid. the composition of this substance was found to be ki, so_{ }.[ ] d is, therefore, the eutectic point at which the compounds ki, so_{ } and ki, so_{ } can coexist in equilibrium with solution and vapour. the curve de does not exhibit a retroflex portion; on the contrary, on attempting to obtain more concentrated solutions in equilibrium with the compound ki, so_{ }, a new solid phase (probably potassium iodide) was formed. since at this point there are four phases in equilibrium, viz. the compound ki, so_{ }, potassium iodide, solution, and vapour, the system is invariant. e is, therefore, the _transition point_ for ki, so_{ } and ki. passing to higher temperatures, fg is the solubility curve of potassium iodide in sulphur dioxide; at g two liquid phases are formed, and the system therefore becomes invariant (cf. p. ). the curve ghk is the solubility curve for two partially miscible liquids; and since complete miscibility occurs on _lowering_ the temperature, the curve is similar to that obtained with triethylamine and water (p. ). k is also an invariant point at which potassium iodide is in equilibrium with two liquid phases and vapour. the complete investigation of the equilibria between sulphur dioxide and potassium iodide, therefore, shows that these two components form the compounds ki, so_{ } and ki, so_{ }; and that when solutions having a concentration between those represented by the points g and k are heated, separation into two layers occurs. the temperatures and concentrations of the different characteristic points are as follows:-- ------------------------------------------------------------- | | composition of point. | temperature. | the solution | | per cent. ki. ------------------------------------------------------------- a (m.p. of so_{ }) | - . ° | -- b (eutectic point) | -- | . c (m.p. of ki, so_{ }) | - . ° | . e (m.p. of ki, so_{ }) | + . ° | . g (ki + two liquid phases) | (about) ° | . h (critical solution point) | . ° | k (ki + two liquid phases) | (about) ° | . ------------------------------------------------------------- * * * * * { } chapter ix equilibria between two volatile components general.--in the two preceding chapters certain restrictions were imposed on the discussion of the equilibria between two components; but in the present chapter the restriction that only one of the components is volatile will be allowed to fall, and the general behaviour of two volatile[ ] components, each of which is capable of forming a liquid solution with the other, will be studied. as we shall see, however, the removal of the previous restriction produces no alteration in the general aspect of the equilibrium curves for concentration and temperature, but changes to some extent the appearance of the pressure-temperature diagram. the latter would become still more complicated if account were taken not only of the total pressure but also of the partial pressures of the two components in the vapour phase; this complication, however, will not be introduced in the present discussion.[ ] in this chapter we shall consider the systems formed by the two components iodine and chlorine, and sulphur dioxide and water. iodine and chlorine.--the different systems furnished by iodine and chlorine, rendered classical by the studies of stortenbeker,[ ] form a very complete example of equilibria in a two-component system. we shall first of all consider the { } relations between concentration and temperature, with the help of the accompanying diagram, fig. . [illustration: fig. .] concentration-temperature diagram.--in this diagram the temperatures are taken as the abscissæ, and the composition of the solution, expressed in atoms of chlorine to one atom of iodine,[ ] is represented by the ordinates. in the diagram, a represents the melting point of pure iodine, °. if chlorine is added to the system, a solution of chlorine in liquid iodine is obtained, and the temperature at which solid iodine is in equilibrium with the liquid solution will be all the lower the greater the concentration of the chlorine. we therefore obtain the curve abf, which represents the composition of the solution { } with which solid iodine is in equilibrium at different temperatures. this curve can be followed down to °, but at temperatures below . ° (b) it represents metastable equilibria. at b iodine monochloride can be formed, and if present the system becomes invariant; b is therefore a quadruple point at which the four phases, iodine, iodine monochloride, solution, and vapour, can coexist. continued withdrawal of heat at this point will therefore lead to the complete solidification of the solution to a mixture or conglomerate of iodine and iodine monochloride, while the temperature remains constant during the process. b is the eutectic point for iodine and iodine monochloride. just as we found in the case of aqueous salt solutions that at temperatures above the cryohydric or eutectic point, two different solutions could exist, one in equilibrium with ice, the other in equilibrium with the salt (or salt hydrate), so in the case of iodine and chlorine there can be two solutions above the eutectic point b, one containing a lower proportion of chlorine in equilibrium with iodine, the other containing a higher proportion of chlorine in equilibrium with iodine monochloride. the composition of the latter solution is represented by the curve bcd. as the concentration of chlorine is increased, the temperature at which there is equilibrium between iodine monochloride and solution rises until a point is reached at which the composition of the solution is the same as that of the solid. at this point (c), iodine monochloride melts. addition of one of the components will lower the temperature of fusion, and a continuous curve,[ ] exhibiting a retroflex portion as in the case of cacl_{ }, h_{ }o, will be obtained. at temperatures below its melting point, therefore, iodine monochloride can be in equilibrium with two different solutions. the upper portion of this curve, cd, can be followed downwards to a temperature of . °. at this temperature iodine trichloride can separate out, and a second quadruple { } point (d) is obtained. this is the eutectic point for iodine monochloride and iodine trichloride. by addition of heat and increase in the amount of chlorine, the iodine monochloride disappears, and the system passes along the curve de, which represents the composition of the solutions in equilibrium with solid iodine trichloride. the concentration of chlorine in the solution increases as the temperature is raised, until at the point e, where the solution has the same composition as the solid, the maximum temperature is reached; the iodine trichloride melts. on increasing still further the concentration of chlorine in the solution, the temperature of equilibrium falls, and a continuous curve, similar to that for the monochloride, is obtained. the upper branch of this curve has been followed down to a temperature of °, the solution at this point containing . per cent. of chlorine.[ ] the very rounded form of the curve is due to the trichloride being largely dissociated in the liquid state. one curve still remains to be considered. as has already been mentioned, iodine monochloride can exist in two crystalline forms, only one of which, however, is stable at temperatures below the melting point; the two forms are _monotropic_ (p. ). the stable form which melts at . °, is called the [alpha]-form, while the less stable variety, melting at . °, is known as the [beta]-form. if, now, the presence of [alpha]-icl is excluded, it is possible to obtain the [beta]-form, and to study the conditions of equilibrium between it and solutions of iodine and chlorine, from the eutectic point f to the melting point g. as the [beta]-icl becomes less stable in presence of excess of chlorine, it has not been possible to study the retroflex portion of the curve represented by the dotted continuation of fg. the following table gives some of the numerical data from which fig. was constructed.[ ] { } iodine and chlorine. i. _invariant systems._ ------------------------------------------------------------------------- | | phases present. temper-| pressure.+--------------------+-----------------+-------------- ature. | | solid. | liquid. | vapour. --------+----------+--------------------+-----------------+-------------- . ° | mm. | i_{ },[alpha]-icl | i[wavy]cl_{ . }| i + cl_{ . } . ° | -- | i_{ },[beta]-icl | i[wavy]cl_{ . }| -- . ° | mm. | [alpha]-icl,icl_{ }| i[wavy]cl_{ . }| i + cl_{ . } [- ° | < atm. | icl_{ },cl_{ } | i[wavy]cl_{m} | i + cl_{n}] --------+----------+--------------------+-----------------+-------------- ii. _melting points._ a. iodine,[ ] . ° (pressure . mm.). c. [alpha]-iodine monochloride, . ° (pressure mm.). e. iodine trichloride, ° (pressure atm.). g. [beta]-iodine monochloride, . °. since the vapour pressure at the melting point of iodine trichloride amounts to atm., the experiments must of course be carried out in closed vessels. at . ° the vapour pressure of the system trichloride--solution--vapour is equal to atm. pressure-temperature diagram.--in this diagram there are represented the values of the vapour pressure of the saturated solutions of chlorine and iodine. to give a complete picture of the relations between pressure, temperature, and concentration, a solid model would be required, with three axes at right angles to one another along which could be measured the values of pressure, temperature, and concentration of the components in the solution. instead of this, however, there may be employed the accompanying projection figure[ ] (fig. ), the lower portion of which shows the projection of the equilibrium curve on the surface containing the concentration and temperature axes, while the upper portion is the projection on the plane containing the pressure and temperature axes. the lower portion is therefore a concentration-temperature diagram; { } the upper portion, a pressure-temperature diagram. the corresponding points of the two diagrams are joined by dotted lines. [illustration: fig. .] corresponding to the point c, the melting point of pure iodine, there is the point c_{ }, which represents the vapour pressure of iodine at its melting point. at this point three curves cut: , the sublimation curve of iodine; , the vaporization curve of fused iodine; , c_{ }b_{ }, the vapour-pressure curve of the saturated solutions in equilibrium with solid iodine. starting, therefore, with the system solid iodine--liquid iodine, addition of chlorine will cause the temperature of equilibrium to fall continuously, while the vapour pressure will first increase, pass through a maximum and then fall continuously { } until the eutectic point, b (b_{ }), is reached.[ ] at this point the system is invariant, and the pressure will therefore remain constant until all the iodine has disappeared. as the concentration of the chlorine increases in the manner represented by the curve b_f_h, the pressure of the vapour also increases as represented by the curve b_{ }_f__{ }h_{ }. at h_{ }, the eutectic point for iodine monochloride and iodine trichloride, the pressure again remains constant until all the monochloride has disappeared. as the concentration of the solution passes along the curve hf, the pressure of the vapour increases as represented by the curve h_{ }f_{ }; f_{ } represents the pressure of the vapour at the melting point of iodine trichloride. if the concentration of the chlorine in the solution is continuously increased from this point, the vapour pressure first increases and then decreases, until the eutectic point for iodine trichloride and solid chlorine is reached (d_{ }). curves cl_{ } solid and cl_{ } liquid represent the sublimation and vaporization curves of chlorine, the melting point of chlorine being - °. although complete measurements of the vapour pressure of the different systems of pure iodine to pure chlorine have not been made, the experimental data are nevertheless sufficient to allow of the general form of the curves being indicated with certainty. bivariant systems.--to these, only a brief reference need be made. since there are two components, two phases will form a bivariant system. the fields in which these systems can exist are shown in fig. and fig. , which is a more diagrammatic representation of a portion of fig. . i. iodine--vapour. ii. solution--vapour. iii. iodine trichloride--vapour. iv. iodine monochloride--vapour. [illustration: fig. .] the conditions for the existence of these systems will probably be best understood from fig. . since the curve b'a' { } represents the pressures under which the system iodine--solution--vapour can exist, increase of volume (diminution of pressure) will cause the volatilization of the solution, and the system iodine--vapour will remain. if, therefore, we start with a system represented by _a_, diminution of pressure at constant temperature will lead to the condition represented by _x_. on the other hand, increase of pressure at _a_ will lead to the condensation of a portion of the vapour phase. since, now, the concentration of chlorine in the vapour is greater than in the solution, condensation of vapour would increase the concentration of chlorine in the solution; a certain amount of iodine must therefore pass into solution in order that the composition of the latter shall remain unchanged.[ ] if, therefore, the volume of vapour be sufficiently great, continued diminution of volume will ultimately lead to the disappearance of all the iodine, and there will remain only solution and vapour (field ii.). as the diminution of volume is continued, the vapour pressure and the concentration of the chlorine in the solution will increase, until when the pressure has reached the value _b_, iodine monochloride can separate out. the system, therefore, again becomes univariant, and at constant temperature the pressure and composition of the phases must remain unchanged. diminution of volume will therefore not effect an increase of pressure, but a condensation of the vapour; and since this is richer in chlorine than the { } solution, solid iodine monochloride must separate out in order that the concentration of the solution remain unchanged.[ ] as the result, therefore, we obtain the bivariant system iodine monochloride--vapour. a detailed discussion of the effect of a continued increase of pressure will not be necessary. from what has already been said and with the help of fig. , it will readily be understood that this will lead successively to the univariant system (_c_), iodine monochloride--solution--vapour; the bivariant system solution--vapour (field ii.); the univariant system (_d_), iodine trichloride--solution--vapour; and the bivariant system _x'_, iodine trichloride--vapour. if the temperature of the experiment is above the melting point of the monochloride, then the systems in which this compound occurs will not be formed. sulphur dioxide and water.--in the case just studied we have seen that the components can combine to form definite compounds possessing stable melting points. the curves of equilibrium, therefore, resemble in their general aspect those of calcium chloride and water, or of ferric chloride and water. in the case of sulphur dioxide and water, however, the melting point of the compound formed cannot be realized, because transition to another system occurs; retroflex concentration-temperature curves are therefore not found here, but the curves exhibit breaks or sudden changes in direction at the transition points, as in the case of the systems formed by sodium sulphate and water. the case of sulphur dioxide and water is also of interest from the fact that two liquid phases can be formed. the phases which occur are--solid: ice, sulphur dioxide hydrate, so_{ }, h_{ }o. liquid: two solutions, the one containing excess of sulphur dioxide, the other excess of water, and represented by the symbols so_{ } [wavy] _x_h_{ }o (solution i.), and h_{ }o [wavy] _y_so_{ } (solution ii.). vapour: a mixture of sulphur dioxide and water vapour in varying proportions. since there are two components, sulphur dioxide and water, the number of { } possible systems is considerable. only the following, however, have been studied:-- i. _invariant systems: four co-existing phases._ (_a_) ice, hydrate, solution, vapour. (_b_) hydrate, solution i., solution ii., vapour. ii. _univariant systems: three co-existing phases._ (_a_) hydrate, solution i., vapour. (_b_) hydrate, solution ii., vapour. (_c_) solution i., solution ii., vapour. (_d_) hydrate, solution i., solution ii. (_e_) hydrate, ice, vapour. (_f_) ice, solution ii., vapour. (_g_) ice, hydrate, solution ii. iii. _bivariant systems: two co-existing phases._ (_a_) hydrate, solution i. (_b_) hydrate, solution ii. (_c_) hydrate, vapour. (_d_) hydrate, ice. (_e_) solution i., solution ii. (_f_) solution i., vapour. (_g_) solution i., ice. (_h_) solution ii., vapour. (_i_) solution ii., ice. (_j_) ice, vapour. [illustration: fig. .] pressure-temperature diagram.[ ]--if sulphur dioxide is passed into water at °, a solution will be formed and the temperature at which ice can exist in equilibrium with this solution will fall more and more as the concentration of the sulphur dioxide increases. at - . °, however, a cryohydric point is reached at which solid hydrate separates out, and the system becomes invariant. the curve ab (fig. ) therefore represents the pressure of the system ice--solution ii.--vapour, and b represents the temperature and pressure at which the invariant system ice--hydrate--solution ii.--vapour can exist. at this point the temperature is - . °, and the pressure . cm. if heat is withdrawn from this system, the solution will ultimately { } solidify to a mixture of ice and hydrate, and there will be obtained the univariant system ice--hydrate--vapour. the vapour pressure of this system has been determined down to a temperature of - . °, at which temperature the pressure amounts to cm. the pressures for this system are represented by the curve bc. if at the point b the volume is diminished, the pressure must remain constant, but the relative amounts of the different phases will undergo change. if suitable quantities of these are present, diminution of volume will ultimately lead to the total condensation of the vapour phase, and there will remain the univariant system ice--hydrate--solution. the temperature of equilibrium of this system will alter with the pressure, but, as in the case of the melting point of a simple substance, great differences of pressure will cause only comparatively small changes in the temperature of equilibrium. the change of the cryohydric point with the pressure is represented by the line be; the actual values have not been determined, but the curve must slope towards the pressure axis because fusion is accompanied by diminution of volume, as in the case of pure ice. { } a fourth univariant system can be formed at b. this is the system hydrate--solution ii.--vapour. the conditions for the existence of this system are represented by the curve bf, which may therefore be regarded as the vapour-pressure curve of the saturated solution of sulphur dioxide heptahydrate in water. unlike the curve for iodine trichloride--solution--vapour, this curve cannot be followed to the melting point of the hydrate. before this point is reached, a second liquid phase appears, and an invariant system consisting of hydrate--solution i.--solution ii.--vapour is formed. we have here, therefore, the phenomenon of melting under the solution as in the case of succinic nitrile and water (p. ). this point is represented in the diagram by f; the temperature at this point is . °, and the pressure . cm. the range of stable existence of the hydrate is therefore from - . ° to . °; nevertheless, the curve fb has been followed down to a temperature of - °, at which point ice formed spontaneously. so long as the four phases hydrate, two liquid phases, and vapour are present, the condition of the system is perfectly defined. by altering the conditions, however, one of the phases can be made to disappear, and a univariant system will then be obtained. thus, if the vapour phase is made to disappear, the univariant system solution i.--solution ii.--hydrate, will be left, and the temperature at which this system is in equilibrium will vary with the pressure. this is represented by the curve fi; under a pressure of atm. the temperature of equilibrium is . °. increase of pressure, therefore, raises the temperature at which the three phases can coexist. again, addition of heat to the invariant system at f will cause the disappearance of the solid phase, and there will be formed the univariant system solution i.--solution ii.--vapour. in the case of this system the vapour pressure increases as the temperature rises, as represented by the curve fg. such a system is analogous to the case of ether and water, or other two partially miscible liquids (p. ). as the temperature changes, the composition of the two liquid phases will undergo change; but this system has not been studied fully. the fourth curve, which ends at the quadruple point f, is { } that representing the vapour pressure of the system hydrate--solution i.--vapour (fh). this curve has been followed to a temperature of °, the pressure at this point being cm. the metastable prolongation of gf has also been determined. although, theoretically, this curve must lie below fh, it was found that the difference in the pressure for the two curves was within the error of experiment. bivariant systems.--the different bivariant systems, consisting of two phases, which can exist within the range of temperature and pressure included in fig. , were given on p. . the conditions under which these systems can exist are represented by the areas in the diagram, and the fields of the different bivariant systems are indicated by letters, corresponding to the letters on p. . just as in the case of one-component systems (p. ), we found that the field lying between any two curves gave the conditions of existence of that phase which was common to the two curves, so also in the case of two-component systems, a bivariant two-phase system occurs in the field enclosed[ ] by the two curves to which the two phases are common. as can be seen, the same bivariant system can occur in more than one field. as is evident from fig. , three different bivariant systems are capable of existing in the area hfi; which of these will be obtained will depend on the relative masses of the different phases in the univariant or invariant system. thus, starting with a system represented by a point on the curve hf, diminution of volume at constant temperature will cause the condensation of a portion of the vapour, which is rich in sulphur dioxide; since this would increase the concentration of sulphur dioxide in the solution, it must be counteracted by the passage of a portion of the hydrate (which is relatively poor in sulphur dioxide) into the solution. if, therefore, the amount of hydrate present is relatively very small, the final result of the compression will be the production of the system _f_, solution i.--vapour. on the other hand, if the vapour is present in relatively small amount, it will be the first phase to disappear, { } and the bivariant system _a_, hydrate--solution i., will be obtained. finally, if we start with the invariant system at f, compression will cause the condensation of vapour, while the composition of the two solutions will remain unchanged. when all the vapour has disappeared, the univariant system hydrate--solution i.--solution ii. will be left. if, now, the pressure is still further increased, while the temperature is kept below °, more and more hydrate must be formed at the expense of the two liquid phases (because ° is the lower limit for the coexistence of the two liquid phases), and if the amount of the solution i. (containing excess of sulphur dioxide) is relatively small, it will disappear before solution ii., and there will be obtained the bivariant system hydrate--solution ii. (bivariant system _b_). in a similar manner, account can be taken of the formation of the other bivariant systems. a behaviour similar to that of sulphur dioxide and water is shown by chlorine and water and by bromine and water, although these have not been so fully studied.[ ] in the case of hydrogen bromide and water, and of hydrogen chloride and water, a hydrate, viz. hbr, h_{ }o and hcl, h_{ }o, is formed which possesses a definite melting point, as in the case of iodine trichloride. in these cases, therefore, a retroflex curve is obtained. further, just as in the case of the chlorides of iodine the upper branch of the retroflex curve ended in a eutectic point, so also in the case of the hydrate hbr, h_{ }o the upper branch of the curve ends in a eutectic point at which the system dihydrate--monohydrate--solution--vapour can exist. before the melting point of the monohydrate is reached, two liquid phases are formed, as in the case of sulphur dioxide and water. * * * * * { } chapter x solid solutions. mixed crystals general.--with the conception of gaseous and liquid solutions, every one is familiar. gases can mix in all proportions to form homogeneous solutions. gases can dissolve in or be "absorbed" by liquids; and solids, also, when brought in contact with liquids, "pass into solution" and yield a homogeneous liquid phase. on the other hand, the conception of a _solid solution_ is one which in many cases is found more difficult to appreciate; and the existence and behaviour of solid solutions, in spite of their not uncommon occurrence and importance, are in general comparatively little known. the reason of this is to be found, to some extent, no doubt, in the fact that the term "solid solution" was introduced at a comparatively recent date,[ ] but it is probably also due in some measure to a somewhat hazy comprehension of the definition of the term "solution" itself. as has already been said (p. ), a solution is a homogeneous phase, the composition of which can vary continuously within certain limits; the definition involves, therefore, no condition as to the physical state of the substances. accordingly, solid solutions are homogeneous solid phases, the composition of which can undergo continuous variation within certain limits. just as we saw that the range of variation of composition is more limited in the case of liquids than in the case of gases, so also we find that the limits of miscibility are in general still more restricted in the case of solids. examples of complete miscibility are, however, not unknown even in the case of solid substances. solid solutions have long been known, although, of course, { } they were not defined as such. thus, the phenomena of "occlusion" of gases by metals and other substances (occlusion of hydrogen by palladium; occlusion of hydrogen by iron) are due to the formation of solid solutions. the same is probably also true of the phenomena of "adsorption," as in the removal of organic colouring matter by charcoal, although, in this case, surface tension no doubt plays a considerable part.[ ] as examples of the solution of gases in solids there may be cited (in addition to the phenomena of occlusion already mentioned), the hydrated silicates and the zeolites. during dehydration these crystalline substances remain clear and transparent, and the pressure of the water vapour which they emit varies with the degree of hydration or the concentration of water in the mineral.[ ] as examples of the solution of solids in solids we have the cementation of iron by charcoal, the formation of glass, and the crystallization together of isomorphous substances. although we have here spoken of the glasses as "solid solutions," it should be mentioned that the term "solid" is used in its popular sense. strictly speaking, the glasses are to be regarded as supercooled liquids (see also p. , footnote). in discussing the equilibria in systems containing a solid solution, it is of essential importance to remember that a solid solution constitutes only _one_ phase, a phase of varying composition, as in the case of liquid solutions. solution of gases in solids.--comparatively little work has been done in this connection, the investigations being limited chiefly to the phenomena of occlusion or adsorption of gases by charcoal.[ ] we shall, therefore, indicate only briefly { } and in a general manner, the behaviour which the phase rule enables us to foresee.[ ] in dealing with the systems formed by the two phases gas--solid, three chief cases call for mention:-- i. _the gas is not absorbed by the solid, but when the pressure reaches a certain value, combination of the two components can result._ [illustration: fig. .] the graphic representation of such a system is shown in fig. , the ordinates being the pressures of the gas, and the abscissæ the concentrations of the gaseous component in the solid phase. since there is no formation of a solid solution, the concentration of gas in the solid phase remains zero until the pressure has increased to the point a. at this point combination can take place. there will now be three phases present, viz. solid component, compound, and vapour. the system is therefore univariant, and if the temperature is maintained constant, the vapour pressure will be constant, irrespective of the amount of compound formed, _i.e._ irrespective of the relative amounts of gas and solid. this is indicated by the line ab. when the solid component has entirely disappeared, the system ceases to be univariant, and if no absorption occurs, the pressure will increase again, as shown by bc. if a second compound can be formed, then a second _pc_-line will be obtained, similar to the preceding. to this group belong the salt hydrates (chap. vii.). ii. _the gas may be absorbed and may also form a compound._ if absorption of gas occurs with formation of a solid solution, then, as the system consists of two phases, solution--vapour, it is bivariant. at constant temperature, therefore, the pressure will still vary with the concentration of the gaseous component in the solid phase. this is represented by the curve ab in fig. . when, however, the pressure has reached a certain value, combination can take place; and since there are now three phases present, the system is { } univariant, and at constant temperature the pressure is constant, as shown by the line bc. iii. _absorption of gas occurs, but at a certain concentration the solid solution can separate into two immiscible solid solutions._ we have seen, in chapter vi., that two liquids can form two immiscible solutions, and the same has also been found true of solid solutions, as we shall presently learn more fully. if, now, two immiscible solutions are formed, then the system will become univariant, and at constant temperature the _pc_-curve will be a straight line, as in the case of the formation of a compound (cf. p. ). the behaviour of this system will, therefore, also be represented diagrammatically by fig. . [illustration: fig. .] _palladium and hydrogen._--the phenomenon of the absorption of hydrogen by palladium, to which graham gave the name "occlusion," is one that has claimed the attention of several investigators. although graham was not of opinion that a compound is formed, but rather that the gas undergoes very great condensation, acts as a quasi-metal (to which he gave the name hydrogenium), and forms a homogeneous alloy with the palladium, later investigations, especially those of troost and hautefeuille,[ ] pointed to the formation of a definite chemical compound, having the formula pd_{ }h. this conclusion has, however, not been confirmed by subsequent investigation.[ ] roozeboom and hoitsema[ ] sought to arrive at a final decision as to the nature of the phenomenon by an investigation of the equilibrium between hydrogen and palladium on the basis of the phase rule classification given above. if a compound is formed, diminution of volume would cause no increase of pressure, but only an increase in the amount of the compound. as this is the only case of gas absorption which has been { } accurately studied from this point of view, a brief account of the results obtained will be given here, although these are not so clear and free from ambiguity as one would desire. the scientists just mentioned investigated the variation of the pressure of hydrogen with the amount absorbed by the metal at different temperatures, and a few of their results, typical of all, are represented graphically in fig. ; the curves indicating the variation of the gas pressure with the concentration of the hydrogen in the palladium at the temperatures °, °, and °. as can be seen, the curve consists of three parts, an ascending portion which passes gradually and continuously into an almost horizontal but slightly ascending middle part, which in turn passes without break into a second rapidly ascending curve. this, as fig. indicates, is the general form of the curve; but the length of the middle portion varies with the temperature, being shorter at higher than at lower temperatures. [illustration: fig. .] what is the interpretation to be put on these curves? with regard to the two end portions, these represent bivariant, two-phase systems, consisting of a solid solution and gas. they correspond, therefore, to curve ab in fig. . if the middle portion were horizontal, it would indicate either the formation of a compound or of two immiscible solid solutions. if a compound pd_{ }h were formed, then the middle portion would at all temperatures end at the same value of the concentration, viz. that corresponding to . atoms of hydrogen to atom of palladium. as the figure shows, however, this is not the case; the higher the temperature, the lower is the concentration at which the middle passes into the terminal portion of the curve. { } such a behaviour would, however, agree with the assumption of the formation of two solid solutions, the "miscibility" of which increases with the temperature, as in the case of the liquid solutions of phenol and water (p. ). nevertheless, although the assumption of the formation of two solid solutions is more satisfactory than that of the formation of a compound, it does not entirely explain the facts. if two solid solutions are formed, the pressure curve should be horizontal, but this is not the case; and the deviation from the horizontal does not appear to be due to impurities either in the gas or in the metal, but is apparently a peculiarity of the system. further, the gradual instead of abrupt passage of the three portions of the curve into one another remains unexplained. hoitsema has expressed the opinion that the occlusion of hydrogen by palladium is a process of continuous absorption, the peculiar form of the curve--the flat middle portion--being possibly due to a condensation of the gas, even at temperatures far above the critical temperature of liquid hydrogen. while, therefore, the occlusion of hydrogen by palladium still presents some unexplained phenomena, the behaviour found by hoitsema would appear to disprove conclusively the formation of a definite chemical compound.[ ] solution of solids in solids. mixed crystals. the introduction by van't hoff of the term "solid solution" resulted from the discovery of a number of deviations from the raoult-van't hoff law for the depression of the freezing point by dissolved substances. in all cases, the depression was too small; in some instances, indeed, the freezing point may be raised. to explain these irregularities, van't hoff assumed that the dissolved substance crystallized out along with the solid solvent; and he showed how this would account for the { } deviations from the law of the depression of the freezing point, which had been developed on the assumption that only the pure solvent crystallized out from the solution.[ ] the "mixed crystals" which were thus obtained, and which van't hoff called dilute solid solutions, showed great resemblance in their behaviour to ordinary liquid solutions, and obeyed the laws applicable to these. these laws, however, can no longer be applied in the case of the concentrated solid solutions formed by the crystallization together of isomorphous substances, and known as isomorphous mixtures. indeed, it has been contended[ ] that these isomorphous mixtures should not be considered as solid solutions at all, although no sharp line of demarcation can be drawn between the two classes. the differences, however, in the behaviour of the two groups are of a quantitative rather than a qualitative nature; and since we are concerned at present only with the qualitative behaviour, we shall make no distinction between the crystalline solid solutions and the isomorphous mixtures, but shall study the behaviour of the two classes under the head of "mixed crystals." mixed crystals can be formed either by sublimation[ ] or from a liquid phase; and in the latter case the mixed crystals can be deposited either from solution in a common solvent or from a mixture of the fused components. in this method of formation, which alone will be discussed in the present chapter, we are dealing with the fusion curves of two substances, where, however, the liquid solution is in equilibrium not with one of the pure components, but with a solid solution or mixed crystal. the simple scheme (fig. , p. ) which was obtained in the case of two components which crystallize out in the pure state, is no longer sufficient in the case of the formation of mixed crystals. with the help of the phase rule, however, the different possible systems can be classified; and examples of the different cases predicted by the phase rule have also been obtained by experiment. { } we shall now consider briefly the formation of mixed crystals by isomorphous substances; the consideration of the formation of mixed crystals of isodimorphous substances will, on account of the complexity of the relationships, not be undertaken here.[ ] _formation of mixed crystals of isomorphous substances._ for the purpose of representing the relationships found here we shall employ a temperature-concentration diagram,[ ] in which the ordinates represent the temperature and the abscissæ the concentration of the components. since there are two solutions, the liquid and the solid, and since the concentration of the components in these two phases is not, in general, the same, two curves will be required for each system, one relating to the liquid phase, the other relating to the solid. the temperature at which solid begins to be deposited from the liquid solution will be called the _freezing point_ of the mixture, and the temperature at which the solid solution just begins to liquefy will be called the _melting point_ of the solid solution. the temperature-concentration curve for the liquid phase will therefore be the freezing-point curve; that for the solid solution, the melting-point curve. the latter will be represented by a dotted line.[ ] { } i.--the two components can form an unbroken series of mixed crystals. since, as has already been pointed out (p. ), a mixed crystal (solid solution) constitutes only one phase, it is evident that if the two components are miscible with one another in all proportions in the solid state, there can never be more than one solid phase present, viz. the solid solution or mixed crystal. if the components are completely miscible in the solid state, they will also be completely miscible in the liquid state, and there can therefore be only one liquid phase. the system can at no point become invariant, because there can never be more than three phases present. when, therefore, the two components form a continuous series of mixed crystals, the equilibrium curve must also be continuous. of these systems three types are found. [illustration: fig. .] (_a_) _the freezing points of all mixtures lie between the freezing points of the pure components_ (curve i., fig. ). examples.--this type of curve is represented by the mixed crystals of naphthalene and [beta]-naphthol.[ ] the addition of [beta]-naphthol to naphthalene raises the freezing point of the latter, and the rise is directly proportional to the amount of naphthol added. the freezing point curve is therefore a straight line joining the melting points of the two components. this behaviour, however, is rather exceptional, the freezing-point curve lying generally above, sometimes also below, the straight line joining the melting points of the pure components. thus the freezing-point curve of mixtures of [alpha]-monochlorocinnamic aldehyde and [alpha]-monobromocinnamic aldehyde[ ] lies above the { } straight line joining the melting points of the pure components ( . ° and . °), as is evident from the following table:-- ---------------------------------------------------------------------- molecules of bromo- | | cinnamic aldehyde in | freezing point. | deviation from straight mols. of mixture. | | line. ---------------------------------------------------------------------- . | . ° | -- . | . ° | . ° . | . ° | . ° . | . ° | . ° . | . ° | . ° . | . ° | . ° . | . ° | . ° . | . ° | . ° . | . ° | -- ---------------------------------------------------------------------- melting-point curve.--this curve, like the freezing-point curve, must also be continuous, and the melting points of the different solid solutions will lie between the melting points of the pure components. this is represented by the dotted line in fig. , i. the relative position of the two curves, which can be deduced with the help of thermodynamics and also by experimental determination, is found in all cases to be in accordance with the following rule: at any given temperature, _the concentration of that component by the addition of which the freezing point is depressed, is greater in the liquid than in the solid phase_; or, conversely, _the concentration of that component by the addition of which the freezing point is raised, is greater in the solid than in the liquid phase_. an illustration of this rule is afforded by the two substances chloro- and bromo-cinnamic aldehyde already mentioned. as can be seen from the above table, the addition of chlorocinnamic aldehyde lowers the melting point of the bromo-compound. in accordance with the rule, therefore, the concentration of the chloro-compound in the liquid phase must be greater than in the solid phase; and this was found experimentally. at a temperature of . °, the liquid contained . per cent., the solid only . per cent. of the chlorocinnamic aldehyde. from this it will also be clear that on cooling a fused mixture of two substances capable of forming mixed crystals, { } the temperature of solidification will not remain constant during the separation of the solid; nor, on the other hand, will the temperature of liquefaction of the solid solution be constant. thus, for example, if a liquid solution of two components, a and b, having the composition represented by the point _x_ (fig. ), is allowed to cool, the system will pass along the line _xx'_. at the temperature of the point _a_, mixed crystals will be deposited, the composition of which will be that represented by b. as the temperature continues to fall, more and more solid will be deposited; and since the solid phase is relatively rich in the component b, the liquid will become relatively poorer in this. the composition of the liquid solution will therefore pass along the curve _ad_, the composition of the solid solution at the same time passing along the curve _bc_; at the point _c_ the liquid will solidify completely.[ ] [illustration: fig. .] conversely, if mixed crystals of the composition and at the temperature _x'_ are heated, liquefaction will begin at the temperature _c_, yielding a liquid of the composition d. on continuing to add heat, the temperature of the mass will rise, more of the solid will melt, and the composition of the two phases will change as represented by the curves _da_ and _cb_. when the temperature has risen to _a_, complete liquefaction will have occurred. the process of solidification or of liquefaction is therefore extended over a temperature interval _ac_. even when the freezing-point curve is a straight line joining { } the melting points of the pure components, the melting-point curve will not necessarily coincide with the freezing-point curve, although it may approach very near to it; complete coincidence can take place only when the melting points of the two components are identical. an example of this will be given later (chap. xii.). (_b_) _the freezing-point curve passes through a maximum_ (curve ii., fig. ). [illustration: fig. .] this curve exhibits the greatest degree of contrast to the freezing-point curve which is obtained when the pure components crystallize out. for, since the curve passes through a maximum, it is evident that the freezing point of each of the components must be _raised_ by the addition of the other component. example.--very few cases belonging to this type are known. the best example is found in the freezing-point curve of mixtures of _d_- and _l_-carvoxime[ ] (c_{ }h_{ }n.oh). the freezing points and melting points of the different mixtures of _d_- and _l_-carvoxime are given in the following table, and represented graphically in fig. :-- ---------------+----------------+-----------------+----------------- per cent. of | per cent. of | freezing point. | melting point. _d_-carvoxime. | _l_-carvoxime. | | ---------------+----------------+-----------------+----------------- | | . ° | . ° | | . ° | -- | | . ° | -- | | . ° | . ° | | . ° | . ° | | . ° | . ° | | . ° | . ° | | . ° | -- | | . ° | . ° | | . ° | . ° | | . ° | -- | | . ° | -- | | . ° | . ° ---------------+----------------+-----------------+----------------- { } in this figure, the melting-point curve, _i.e._ the temperature-concentration curve for the mixed crystals, is represented by the lower curve. since the addition of the lævo-form to the dextro-form raises the melting point of the latter, the concentration of the lævo-form (on the right-hand branch of the curve) must, in accordance with the rule given, be greater in the solid phase than in the liquid. similarly, since addition of the dextro-form raises the melting point of the lævo-form, the solid phase (on the left-hand branch of the curve) must be richer in dextro- than in lævo-carvoxime. at the maximum point, the melting-point and freezing-point curves touch; at this point, therefore, the composition of the solid and liquid phases must be identical. it is evident, therefore, that at the maximum point the liquid will solidify, or the solid will liquefy completely without change of temperature; and, accordingly, mixed crystals of the composition represented by the maximum point will exhibit a definite melting point, and will in this respect behave like a simple substance. (_c_) _the freezing-point curve passes through a minimum_ (curve iii., fig. ). in this case, as in the case of those systems where the pure components are deposited, a minimum freezing point is obtained. in the latter case, however, there are two freezing-point curves which intersect at a eutectic point; in the case where mixed crystals are formed there is only one continuous curve. on one side of the minimum point the liquid phase contains relatively more, on the other side relatively less, of the one component than does the solid phase; while at the minimum point the composition of the two phases is the same. at this point, therefore, complete solidification or complete liquefaction will occur without change of temperature, and the mixed crystals will accordingly exhibit a definite melting point. [illustration: fig. .] { } example.--as an example of this there may be taken the mixed crystals of mercuric bromide and iodide.[ ] mercuric bromide melts at . °, and mercuric iodide at . °. the mixed crystal of definite constant melting point (minimum point) contains mols. per cent. of mercuric bromide, the melting point being . °. the numerical data are contained in the following table, and represented graphically in fig. :-- ----------------------------------------------------- mols. per cent. of | | hgbr_{ }. | freezing point. | melting point. ----------------------------------------------------- | . ° | ° | . ° | ° | . ° | ° | . ° | ° | . ° | ° | . ° | . ° | . ° | ° | . ° | ° | . ° | ° | . ° | ° | . ° | ° | . ° | ° | . ° | ° ----------------------------------------------------- [illustration: fig. .] fractional crystallization of mixed crystals.--with the help of the diagrams already given it will be possible to predict what will be the result of the fractional crystallization of a fused mixture of two substances which can form mixed crystals. suppose, for example, a fused mixture of the composition _x_ (fig. ) is cooled down; then, as we have already seen, when the temperature has fallen to _a_, mixed crystals of composition, _b_, are deposited. if the temperature is allowed to fall { } to _x'_, and the solid then separated from the liquid, the mixed crystals so obtained will have the composition represented by e. if, now, the mixed crystals _e_ are completely fused and the fused mass allowed to cool, separation of solid will occur when the temperature has fallen to the point _f_. the mixed crystals which are deposited have now the composition represented by _g_, i.e. _they are richer in b than the original mixed crystals_. by repeating this process, the composition of the successive crops of mixed crystals which are obtained approximates more and more to that of the pure component b, while, on the other hand, the composition of the liquid phase produced tends to that of pure a. by a systematic and methodical repetition of the process of fractional crystallization, therefore, a _practically_ complete separation of the components can be effected; a perfect separation is theoretically impossible. from this it will be readily understood that in the case of substances the freezing point of which passes through a maximum, fractional crystallization will ultimately lead to mixed crystals having the composition of the maximum point, while the liquid phase will more and more assume the composition of either pure a or pure b, according as the initial composition was on the a side or the b side of the maximum point. in those cases, however, where the curves exhibit a minimum, the solid phase which separates out will ultimately be one of the pure components, while a liquid phase will finally be obtained which has the composition of the minimum point. ii.--the two components do not form a continuous series of mixed crystals. this case corresponds to that of the partial miscibility of liquids. the solid component a can "dissolve" the component b until the concentration of the latter in the mixed crystal has reached a certain value. addition of a further amount of b will not alter the composition of the mixed crystal, but there will be formed a second solid phase consisting { } of a solution of a in b. at this point the four phases, mixed crystals containing excess of a, mixed crystals containing excess of b, liquid solution, vapour, can coexist; this will therefore be an invariant point. the temperature-concentration curves will therefore no longer be continuous, but will exhibit a break or discontinuity at the point at which the invariant system is formed. (_a_) _the freezing-point curve exhibits a transition point_ (curve i., fig. ). as is evident from the figure, addition of b raises the melting point of a, and, in accordance with the rule previously given, the concentration of b in the mixed crystals will be greater than in the solution. this is represented in the figure by the dotted curve ad. on the other hand, addition of a lowers the melting point of b, and the two curves bc and be are obtained for the liquid and solid phases respectively. at the temperature of the line cde the liquid solution of the composition represented by c is in equilibrium with the two different mixed crystals represented by d and e. at this temperature, therefore, the _tc_-curve for the solid phase exhibits a discontinuity; and, since the solid phase undergoes change at this point, the freezing-point curve must show a break (p. ). [illustration: fig. .] example.--curves of the form given in fig. i. have been found experimentally in the case of silver nitrate and sodium nitrate.[ ] the following table contains the numerical data, which are also represented graphically in fig. :-- { } ----------------------------------------------------- molecules nano_{ } | freezing point. | melting point. per cent. | | ----------------------------------------------------- | . ° | . ° | . ° | ° . | ° | ° . | . ° | . ° . | ° | ° | . ° | . ° . | . ° | . ° . | . ° | . ° . | . ° | . ° . | ° | ° | ° | ° | ° | ° ----------------------------------------------------- the temperature of the transition point is . °; at this point the liquid contains . , and the two conjugate solid solutions and molecules of sodium nitrate per cent. respectively. [illustration: fig. .] [illustration: fig. .] (_b_) _the freezing-point curve exhibits a eutectic point_ (curve ii., fig. ). { } in this case the freezing point of each of the components is lowered by the addition of the other, until at last a point is reached at which the liquid solution solidifies to a mixture or conglomerate of two mixed crystals. examples.--curves belonging to this class have been obtained in the case of potassium and thallium nitrates[ ] and of naphthalene and monochloracetic acid.[ ] the data for the latter are given in the following table and represented in fig. :-- ------------------------------------------------------------------------- | liquid solution. | solid solution. ------------------------------------------------------------ temperature. | | | | | per cent. | per cent. | per cent. | per cent. | naphthalene. | acid. | naphthalene. | acid. ------------------------------------------------------------------------- ° | -- | | -- | ° | . | . | . | . ° | . | . | . | . . ° | . | . | -- | -- ° | . | . | . | . ° | . | . | . | . ° | . | . | . | . ° | . | . | . | . ° | . | . | . | . . ° | | -- | | -- ------------------------------------------------------------------------- at the eutectic point the liquid solution is in equilibrium with two different mixed crystals the composition of which is represented by d and e respectively. if, therefore, a fused mixture containing the two components a and b in the proportions represented by c is cooled down, it will, when the temperature has reached the point c, solidify completely to a _conglomerate_ of mixed crystals, d and e. [illustration: fig. .] [illustration: fig. .] changes in mixed crystals with the temperature.--in the case of the different types of systems represented in fig. , a homogeneous liquid solution of the two components will exist at temperatures above the freezing-point curve, a homogeneous mixed crystal at temperatures below the melting-point curve, while at any point between the freezing-point and melting-point { } curves the mixture will separate into a solid phase and a liquid phase. in the case, however, of the two types shown in fig. the relationships are somewhat more complicated. as before, the area above the freezing-point curve gives the conditions under which homogeneous liquid solutions can exist; but below the melting-point curve two different mixed crystals can coexist. this will be best understood from figs. and . d and e represent, as we have seen, the composition of two mixed crystals which are in equilibrium with the liquid solution at the temperature of the point c. these two mixed crystals represent, in the one case, a saturated solution of b in a (point d), and the other a saturated solution of a in b (point e). just as we saw that the mutual solubility of two liquids varied with the temperature, so also in the case of two solids; as the temperature alters, the solubility of the two solid components in one another will change. this alteration is indicated diagrammatically in figs. and by the dotted curve similar to the solubility curves for two mutually soluble liquids (p. ). suppose, now, that a mixed crystal of the composition _x_ is cooled down, it will remain unchanged until, when the temperature has fallen to _t'_, the homogeneous mixed crystal breaks up into a conglomerate of two mixed crystals the composition of { } which is represented by _x'_ and _x"_ respectively. from this, then, it can be seen that in the case of substances which form two solid solutions, the mixed crystals which are desposited from the liquid fused mass need not remain unchanged in the solid state, but may at some lower temperature lose their homogeneity. this fact is of considerable importance for the formation of alloys.[ ] a good example of this will soon be met with in the case of the iron and carbon alloys. the alloys of copper and tin also furnish examples of the great changes which may take place in the alloy between the temperature at which it separates out from the fused mass and the ordinary temperature. thus, for example, one of the alloys of copper and tin which separates out from the liquid as a solid solution breaks up, on cooling, into the compound cu_{ }sn and liquid:[ ] a striking example of a solid substance partially liquefying on being cooled. * * * * * { } chapter xi equilibrium between dynamic isomerides it has long been known that certain substances, _e.g._ acetoacetic ester, are capable when in solution or in the fused state, of reacting as if they possessed two different constitutions; and in order to explain this behaviour the view was advanced (by laar) that in such cases a hydrogen atom oscillated between two positions in the molecule, being at one time attached to oxygen, at another time to carbon, as represented by the formula-- ch_{ }.c--ch.co_{ }c_{ }h_{ } . ^ . | o<-h when the hydrogen is in one position, the substance will act as an hydroxy-compound; with hydrogen in the other position, as a ketone. substances possessing this double function are called _tautomeric_. doubt, however, arose as to the validity of the above explanation, and this doubt was confirmed by the isolation of the two isomerides in the solid state, and also by the fact that the velocity of change of the one isomeride into the other could in some cases be quantitatively measured. these and other observations then led to the view, in harmony with the laws of chemical dynamics, that tautomeric substances in the dissolved or fused state represent a _mixture_ of two isomeric forms, and that equilibrium is established not by _intra_- but by _inter_-molecular change, as expressed by the equation-- ch_{ }.co.ch_{ }.co_{ }c_{ }h_{ } <--> ch_{ }.c(oh):ch.co_{ }c_{ }h_{ } { } in the solid state, the one or other of the isomerides represents the stable form; but in the liquid state (solution or fusion) the stable condition is an equilibrium between the two forms. a similar behaviour is also found in the case of other isomeric substances where the isomerism is due to difference of structure, _i.e._ structure isomerism (_e.g._ in the case of the oximes c_{ }h_{ }.c.h c_{ }h_{ }.c.h || and || ), n.oh ho.n or to difference in configuration, _i.e._ stereoisomerism (_e.g._ optically active substances), or to polymerism (_e.g._ acetaldehyde and paraldehyde). in all such cases, although the different solid forms correspond to a single definite constitution, in the liquid state a condition of equilibrium between the two modifications is established. as a general name for these different classes of substances, the term "dynamic isomerides" has been introduced; and the different kinds of isomerism are classed together under the title "dynamic isomerism."[ ] by reason of the importance of these phenomena in the study more especially of organic chemistry, a brief account of the equilibrium relations exhibited by systems composed of dynamic isomerides may be given here.[ ] in studying the fusion and solidification of those substances which exhibit the relationships of dynamic isomerism, the phenomena observed will vary somewhat according as the reversible transformation of the one form into the other takes place with measurable velocity at temperatures in the neighbourhood of the melting points, or only at some higher temperature. if the transformation is very rapid, the system will behave like a one-component system, but if the isomeric change is comparatively slow, the behaviour will be that of a two-component system. temperature-concentration diagram.--the relationships which are met with here will be most readily understood with { } the help of fig. . suppose, in the first instance, that isomeric transformation does not take place at the temperature of the melting point, then the freezing point curve will have the simple form acb; the formation of compounds being for the present excluded. this is the simplest type of curve, and gives the composition of the solutions in equilibrium with the one modification ([alpha] modification) at different temperatures (curve ac); and of the solutions in equilibrium with the other modification ([beta] modification) at different temperatures (curve bc). c is the eutectic point at which the two solid isomerides can exist side by side in contact with the solution. [illustration: fig. .] now, suppose that isomeric transformation takes place with measurable velocity. if the pure [alpha]-modification is heated to a temperature _t'_ above its melting point, and the liquid maintained at that temperature until equilibrium has been established, a certain amount of the [beta]-form will be present in the liquid, the composition of which will be represented by the point _x'_. the same condition of equilibrium will also be reached by starting with pure [beta]. similarly, if the temperature of the liquid is maintained at the temperature _t"_, equilibrium will be reached, we shall suppose, when the solution has the composition _x"_. the curve de, therefore, which passes through all the different values of _x_ corresponding to different values of _t_, will represent the change of equilibrium with the temperature. it will slope to the right (as in the figure) if the transformation of [alpha] into [beta] is accompanied by absorption of heat; to the left if the transformation is accompanied by evolution of heat, in accordance with van't hoff's law of movable equilibrium. if transformation occurs without heat effect, the equilibrium will be independent of the { } temperature, and the equilibrium curve de will therefore be perpendicular and parallel to the temperature axis. we must now find the meaning of the point d. suppose the pure [alpha]- or pure [beta]-form heated to the temperature _t'_, and the temperature maintained constant until the liquid has the composition _x'_ corresponding to the equilibrium at that temperature. if the temperature is now allowed to fall sufficiently slowly so that the condition of equilibrium is continually readjusted as the temperature changes, the composition of the solution will gradually alter as represented by the curve _x'_d. since d is on the freezing point curve of pure [alpha], this form will be deposited on cooling; and since d is also on the equilibrium curve of the liquid, d is the only point at which solid can exist in stable equilibrium with the liquid phase. (the vapour phase may be omitted from consideration, as we shall suppose the experiments carried out in open vessels.) all systems consisting of the two hylotropic[ ] isomeric substances [alpha] and [beta] will, therefore, ultimately freeze at the point d, which is called the "natural" freezing point[ ] of the system; provided, of course, that sufficient time is allowed for equilibrium to be established. from this it is apparent that _the stable modification at temperatures in the neighbourhood of the melting point is that which is in equilibrium with the liquid phase at the natural freezing point_. from what has been said, it will be easy to predict what will be the behaviour of the system under different conditions. if pure [alpha] is heated, a temperature will be reached at which it will melt, but this melting point will be sharp only if the velocity of isomeric transformation is comparatively slow; _i.e._ slow in comparison with the determination of the melting point. if the substance be maintained in the fused condition for some time, a certain amount of the [beta] modification will be formed, and on lowering the temperature the pure [alpha] form will be deposited, not at the temperature of the melting point, but at some lower temperature depending on the concentration of the [beta] modification in the liquid phase. if isomeric transformation { } takes place slowly in comparison with the rate at which deposition of the solid occurs, the liquid will become increasingly rich in the [beta] modification, and the freezing point will, therefore, sink continuously. at the eutectic point, however, the [beta] modification will also be deposited, and the temperature will remain constant until all has become solid. if, on the other hand, the velocity of transformation is sufficiently rapid, then as quickly as the [alpha] modification is deposited, the equilibrium between the two isomeric forms in the liquid phase will continuously readjust itself, and the end-point of solidification will be the natural freezing point. similarly, starting with the pure [beta] modification, the freezing point after fusion will gradually fall owing to the formation of the [alpha] modification; and the composition of the liquid phase will pass along the curve bc. if, now, the rate of cooling is not too great, or if the velocity of isomeric transformation is sufficiently rapid, complete solidification will not occur at the eutectic point; for at this temperature solid and liquid are not in stable equilibrium with one another. on the contrary, a further quantity of the [beta] modification will undergo isomeric change, the liquid phase will become richer in the [alpha] form, and the freezing point will _rise_; the solid phase in contact with the liquid being now the [alpha] modification. the freezing point will continue to rise until the point d is reached, at which complete solidification will take place without further change of temperature. the diagram also allows us to predict what will be the result of rapidly cooling a fused mixture of the two isomerides. suppose that either the [alpha] or the [beta] modification has been maintained in the fused state at the temperature _t'_ sufficiently long for equilibrium to be established. the composition of the liquid phase will be represented by _x'_. if the liquid is now _rapidly_ cooled, the composition will remain unchanged as represented by the dotted line _x'_g. at the temperature of the point g solid [alpha] modification will be deposited. if the cooling is not carried below the point g, so as to cause complete solidification, the freezing point will be found to rise with time, owing to the conversion of some of the [beta] form into the [alpha] form { } in the liquid phase; and this will continue until the composition of the liquid has reached the point d. from what has just been said, it can also be seen that if the freezing point curves can be obtained by actual determination of the freezing points of different synthetic mixtures of the two isomerides, it will be possible to determine the condition of equilibrium in the fused state at any given temperature without having recourse to analysis. all that is necessary is to rapidly cool the fused mass, after equilibrium has been established, and find the freezing point at which solid is deposited; that is, find the point at which the line of constant temperature cuts the freezing point curve. the composition corresponding to this temperature gives the composition of the equilibrium mixture at the given temperature. it will be evident, from what has gone before, that the degree of completeness with which the different curves can be realised will depend on the velocity with which isomeric change takes place, and on the rapidity with which the determinations of the freezing point can be carried out. as the two extremes we have, on the one hand, practically instantaneous transformation, and on the other, practically infinite slowness of transformation. in the former case, only one melting and freezing point will be found, viz. the natural freezing point; in the latter case, the two isomerides will behave as two perfectly independent components, and the equilibrium curve de will not be realised. the diagram which is obtained when isomeric transformation does not occur within measurable time at the temperature of the melting point is somewhat different from that already given in fig. . in this case, the two freezing point curves ac and bc (fig. ) can be readily realized, as no isomeric change occurs in the liquid phase. suppose, however, that at a higher temperature, _t'_, reversible isomeric transformation can take place, the composition of the liquid phase will alter until at the point _x'_ a condition of equilibrium is reached; and the composition of the liquid at higher temperatures will be represented by the curve _x'_f. below the temperature _t'_ the position of the equilibrium curve is hypothetical; but as the temperature { } falls the velocity of transformation diminishes, and at last becomes _practically_ zero. the equilibrium curve can therefore be regarded as dividing into two branches _x'_g and _x'_h. at temperatures between g and _t'_ the [alpha] modification can undergo isomeric change leading to a point on the curve g_x'_; and the [beta] modification can undergo change leading to a point on the curve h_x'_. the same condition of equilibrium is therefore not reached from each side, and we are therefore dealing not with true but with false equilibrium (p. ). below the temperatures g and h, isomeric transformation does not occur in measurable time. we shall not, however, enter into a detailed discussion of the equilibria in such systems, more especially as they are not systems in true equilibrium, and as the temperature at which true equilibrium can be established with appreciable velocity alters under the influence of catalytic agents.[ ] examples of such systems will no doubt be found in the case of optically active substances, where both isomerides are apparently quite stable at the melting point. in the case of such substances, also, the action of catalytic agents in producing isomeric transformation (racemisation) is well known. [illustration: fig. .] transformation of the unstable into the stable form.--as has already been stated, the stable modification in the neighbourhood of the melting point is that one which is in equilibrium with the liquid phase at the natural freezing point. in the case of polymorphic substances, we have seen (p. ) that that form which is stable in the neighbourhood of the melting point melts at the higher temperature. that was a { } consequence of the fact that the two polymorphic forms on melting gave identical liquid phases. in the present case, however, the above rule does not apply, for the simple reason that the liquid phase obtained by the fusion of the one modification is not identical with that obtained by the fusion of the other. in the case of isomeric substances, therefore, the form of lower melting point _may_ be the more stable; and where this behaviour is found it is a sign that the two forms are isomeric (or polymeric) and not polymorphic.[ ] an example of this is found in the case of the isomeric benzaldoximes (p. ). since in fig. the [alpha] modification has been represented as the stable form, the transformation of the [beta] into the [alpha] form will be possible at all temperatures down to the transition point. at temperatures below the eutectic point, transformation will occur without formation of a liquid phase; but at temperatures above the eutectic point liquefaction can take place. this will be more readily understood by drawing a line of constant temperature, hk, at some point between c and b. then if the [beta] modification is maintained for a sufficiently long time at that temperature, a certain amount of the [alpha] modification will be formed; and when the composition of the mixture has reached the point h, fusion will occur. if the temperature is maintained constant, isomeric transformation will continue to take place in the liquid phase until the equilibrium point for that temperature is reached. if this temperature is higher than the natural melting point, the mixture will remain liquid all the time; but if it is below the natural melting point, then the [alpha] modification will be deposited when the system reaches the condition represented by the point on the curve ac corresponding to the particular temperature. as isomeric transformation continues, the freezing point of the system will rise until it reaches the natural freezing point d. similarly, if the [alpha] modification is maintained at a temperature above that of the point d, liquefaction will ultimately occur, and the system will again reach the final state represented by d.[ ] { } examples.--_benzaldoximes._ the relationships which have just been discussed from the theoretical point of view will be rendered clearer by a brief description of cases which have been experimentally investigated. the first we shall consider is that of the two isomeric benzaldoximes:[ ]-- c_{ }h_{ }.c.h c_{ }h_{ }.c.h || || ho.n n.oh benzantialdoxime benzsynaldoxime ([alpha]-modification). ([beta]-modification). fig. gives a graphic representation of the results obtained. the melting point of the [alpha] modification is - °; the melting point of the unstable [beta]-modification being °. the freezing curves ac and bc were obtained by determining the freezing points of different mixtures of known composition, and the numbers so obtained are given in the following table. { } ---------------------------------------------------- grams of the [alpha] modification | in gm. of mixture. | freezing point. ----------------------------------+----------------- . | ° . | ° . | ° . | . ° . | . ° . | . ° ---------------------------------------------------- [illustration: fig. .] the eutectic point c was found to lie at - °, and the natural freezing point d was found to be . °. the equilibrium curve de was determined by heating the liquid mixtures at different temperatures until equilibrium was attained, and then rapidly cooling the liquid. in all cases the freezing point was practically that of the point d. from this it is seen that the equilibrium curve must be a straight line parallel to the temperature axis; and, therefore, isomeric transformation in the case of the two benzaldoximes is not accompanied by any heat effect (p. ). this behaviour has also been found in the case of acetaldoxime.[ ] the isomeric benzaldoximes are also of interest from the fact that the stable modification has the _lower_ melting point (_v._ p. ). _acetaldehyde and paraldehyde._--as a second example of the equilibria between two isomerides, we shall take the two isomeric (polymeric) forms of acetaldehyde, which have recently been exhaustively studied.[ ] { } in the case of these two substances the reaction ch_{ }.cho <--> (ch_{ }.cho)_{ } takes place at the ordinary temperature with very great slowness. for this reason it is possible to determine the freezing point curves of acetaldehyde and paraldehyde. the three chief points on these curves, represented graphically in fig. , are:-- m.p. of acetaldehyde - . ° m.p. of paraldehyde + . ° eutectic point - . ° [illustration: fig. .] in order to determine the position of the natural melting point, it was necessary, on account of the slowness of transformation, to employ a catalytic agent in order to increase the velocity with which the equilibrium was established. a drop of concentrated sulphuric acid served the purpose. in presence of a trace of this substance, isomeric transformation very speedily occurs, and leads to the condition of equilibrium. starting in the one case with fused paraldehyde, and in the other case with acetaldehyde, the same freezing point, viz. . °, was obtained, the solid phase being paraldehyde. this temperature, . °, is therefore the natural freezing point, and paraldehyde, the solid in equilibrium with the liquid phase at this point, is the stable form. with regard to the change of equilibrium with the temperature, it was found that whereas the liquid phase contained . molecules per cent. of acetaldehyde at the natural freezing point, the liquid at the temperature of . ° contains . molecules per cent. of acetaldehyde. as the temperature { } rises, therefore, there is increased formation of acetaldehyde, or a decreasing amount of polymerisation. this is in harmony with the fact that the polymerisation of acetaldehyde is accompanied by evolution of heat. while speaking of these isomerides, it may be mentioned that at the temperature . ° the equilibrium mixture has a vapour pressure equal to the atmospheric pressure. at this temperature, therefore, the equilibrium mixture (obtained quickly with the help of a trace of sulphuric acid) boils.[ ] * * * * * { } chapter xii summary.--application of the phase rule to the study of systems of two components in this concluding chapter on two-component systems, it is proposed to indicate briefly how the phase rule has been applied to the elucidation of a number of problems connected with the equilibria between two components, and how it has been employed for the interpretation of the data obtained by experiment. it is hoped that the practical value of the phase rule may thereby become more apparent, and its application to other cases be rendered easier. the interest and importance of investigations into the conditions of equilibrium between two substances, lie in the determination not only of the conditions for the stable existence of the participating substances, but also of whether or not chemical action takes place between these two components; and if combination occurs, in the determination of the nature of the compounds formed and the range of their existence. in all such investigations, the phase rule becomes of conspicuous value on account of the fact that its principles afford, as it were, a touchstone by which the character of the system can be determined, and that from the form of the equilibrium curves obtained, conclusions can be drawn as to the nature of the interaction between the two substances. in order to exemplify the application of the principles of the phase rule more fully than has already been done, illustrations will be drawn from investigations on the interaction of organic compounds; on the equilibria between optically active compounds; and on alloys. { } summary of the different systems of two components.--before passing to the consideration of the application of the phase rule to the investigation of particular problems, it will be well to collect together the different types of equilibrium curves with which we are already acquainted; to compare them with one another, in order that we may then employ these characteristic curves for the interpretation of the curves obtained as the result of experiment. in investigating the equilibria between two components, three chief classes of curves will be obtained according as-- i. no combination takes place between the two components. ii. the components can form definite compounds. iii. the components separate out in the form of mixed crystals. the different types of curves which are obtained in these three cases are represented in figs. , , . these different diagrams represent the whole series of equilibria, from the melting point of the one component (a) to that of the other component (b). the curves represent, in all cases, the composition of the solution, or phase of variable composition; the temperature being measured along one axis, and the composition along the other. we shall now recapitulate very briefly the characteristics of the different curves. [illustration: fig. .] if no compound is formed between the two components, { } the general form of the equilibrium curve will be that of curve i. or ii., fig. . type i. is the simplest form of curve found, and consists, as the diagram shows, of only two branches, ac and bc, meeting at the point c, _which lies below the melting point of either component_. the solid phase which is in equilibrium with the solutions ac is pure a; that in equilibrium with bc, pure b. c is the eutectic point. although at the eutectic point the solution solidifies entirely without change of temperature, the solid which is deposited is not a homogeneous solid phase, but a mixture, or conglomerate of the two components. _the eutectic point, therefore, represents the melting or freezing point, not of a compound, but of a mixture_ (p. ). curve ii., fig. , is obtained when two liquid phases are formed. c is an eutectic point, d and f are transition points at which there can co-exist the four phases--solid, two liquid phases, vapour. def represents the change in the composition of the two liquid phases with rise of temperature; the curve might also have the reversed form with the critical solution point below the transition points d and f. [illustration: fig. .] in the second class of systems (fig. ), that in which combination between the components occurs, there are again two types according as the compound formed has a definite melting point (_i.e._ can exist in equilibrium with a solution of the same composition), or undergoes only partial fusion; that is, exhibits a transition point. if a compound possessing a definite melting point is formed, the equilibrium curve will have the general form shown by curve i., fig. . a, b, and d are the melting points of pure a, pure b, and of the compound a_{x}b_{y} respectively. ac { } is the freezing point curve of a in presence of b; be that of b in presence of a; and dc and de the freezing point curves of the compound in presence of a solution containing excess of one of the components. c and e are eutectic points at which mixtures of a and a_{x}b_{y}, or b and a_{x}b_{y} can co-exist in contact with solution. the curve cde may be large or small, and the melting point of the compound, d, may lie above or below that of each of the components, or may have an intermediate position. if more than one compound can be formed, a series of curves similar to cde will be obtained (_cf._ p. ). on the other hand, if the compound undergoes transition to another solid phase at a temperature below its melting point, a curve of the form ii., fig. , will be found. this corresponds to the case where a compound can exist only in contact with solutions containing excess of one of the components. the metastable continuation of the equilibrium curve for the compound is indicated by the dotted line, the summit of which would be the melting point of the compound. before this temperature is reached, however, the solid compound ceases to be able to exist in contact with solution, and transition to a different solid phase occurs at the point e (_cf._ p. ). this point, therefore, represents the limit of the existence of the compound ab. if a series of compounds can be formed none of which possess a definite melting point, then a series of curves will be obtained which do not exhibit a temperature-maximum, and there will be only one eutectic point. the limits of existence of each compound will be marked by a break in the curve (_cf._ p. ). [illustration: fig. .] turning, lastly, to the third class of systems, in which formation of mixed crystals can occur, five different types of curves can be obtained, as shown in fig. . with regard to the first three types, curves i., ii., and iii., { } these differ entirely from those of the previous classes, in that they are continuous; they exhibit no eutectic point, and no transition point. curve ii. bears some resemblance to the melting-point curve of a compound (_e.g._ cde, fig. , i.), but differs markedly from it in not ending in eutectic points. further, in the case of the formation of a compound, the composition of the solid phase remains unchanged throughout the whole curve between the eutectic points; whereas, when mixed crystals are produced, the composition of the solid phase varies with the composition of the liquid solution. on passing through the maximum, the relative proportions of a and b in the solid and the liquid phase undergo change; on the one side of the maximum, the solid phase contains relatively more a, and on the other side of the maximum, relatively more b than the liquid phase. lastly, when mixed crystals are formed, the temperature at which complete solidification occurs changes as the composition of the solution changes, whereas in the case of the formation of compounds, the temperature of complete solidification for all solutions is a eutectic point. the third type of curve, fig. , can be distinguished in a similar manner from the ordinary eutectic curve, fig. , i., to which it bears a certain resemblance. whereas in the case of the latter, the eutectic point is the temperature of complete solidification of all solutions, the point of minimum temperature in the case of the formation of mixed crystals, is the solidification point only of solutions having one particular composition; that, namely, of the minimum point. for all other solutions, the temperature of complete solidification is different. whereas, also, in the case of the simple eutectic curve, the solid which separates out from the solutions represented by either curve remains the same throughout the whole extent of that curve, the composition of the mixed crystal varies with variation of the composition of the liquid phase, and the relative proportions of the two components in the solid and the liquid phase are reversed on passing through the minimum.[ ] in a similar manner, type iv., fig. , can be distinguished from type ii., fig. , by the fact that it does not exhibit a { } eutectic point, and that the composition of the solid phase undergoes continuous variation with variation of the liquid phase on either side of the transition point. lastly, type v., which does exhibit a eutectic point, differs from the eutectic curve of fig. , in that the eutectic point does not constitute the point of complete solidification for all solutions, and that the composition of the solid phase varies with the composition of the liquid phase. such, then, are the chief general types of equilibrium curves for two-components; they are the pattern curves with which other curves, experimentally determined, can be compared; and from the comparison it will be possible to draw conclusions as to the nature of the equilibria between the two components under investigation. . _organic compounds._ [illustration: fig. .] the principles of the phase rule have been applied to the investigation of the equilibria between organic compounds, and figs. - reproduce some of the results which have been obtained.[ ] { } fig. , the freezing point curve (curve of equilibrium) for _o_-nitrophenol and _p_-toluidine, shows a curve of the simplest type[ ] (type i., fig. ), in which two branches meet at an eutectic point. the solid phase in equilibrium with solutions represented by the left-hand branch of the curve was _o_-nitrophenol (m.p. . °); that in equilibrium with the solutions represented by the right-hand branch, was _p_-toluidine (m.p. . °). at the eutectic point ( . °), these two solid phases could co-exist with the liquid phase. this equilibrium curve, therefore, shows that _o_-nitrophenol and _p_-toluidine do not combine with one another. in connection with this curve, attention may be called to the interesting fact that although the solid produced by cooling the liquid phase at the eutectic point has a composition approximating to that of a compound of equimolecular proportions of the phenol and toluidine, and a constant melting point, it is nevertheless a _mixture_. although, as a rule, the constituents of the eutectic mixture are not present in simple molecular proportions, there is no reason why they should not be so; and it is therefore necessary to beware of assuming the formation of compounds in such cases.[ ] fig. , on the other hand, indicates with perfect certainty the formation of a compound between phenol and [alpha]-naphthylamine.[ ] (_cf._ curve i., fig. .) phenol freezes at . °, but the addition of [alpha]-naphthylamine lowers the freezing point as represented by the curve ac. at c ( . °) the compound c_{ }h_{ }oh,c_{ }h_{ }nh_{ } is formed, and the system becomes invariant. on increasing the amount of the amine, the temperature of equilibrium rises, the solid phase now being the compound. at d, the curve passes through a maximum ( . °), at which the solid and liquid phases have the same composition. this is the melting point of the compound. further addition of the amine lowers the temperature of equilibrium, until at e solid [alpha]-naphthylamine separates out, and a second eutectic point ( . °) is obtained. be is the { } freezing-point curve of [alpha]-naphthylamine in presence of phenol, the freezing point of the pure amine being . °. on account of the great sluggishness with which the compound of phenol and [alpha]-naphthylamine crystallizes, it was found possible to follow the freezing point curves of phenol and the amine to temperatures considerably below the eutectic points, as shown by the curves cf and eg. [illustration: fig. .] phenol can also combine with _p_-toluidine in equimolecular proportions; and this compound is of interest, from the fact that it exists in two crystalline forms melting at . ° and °. each of these forms now must have its own equilibrium curve, and it was found that the intermediate portion of the freezing point curve was duplicated, as shown in fig. .[ ] { } [illustration: fig. .] [illustration: fig. .] { } lastly, a curve is given, fig. ,[ ] which corresponds with curve ii., fig. . picric acid and benzene can form a compound, which, however, can exist only in contact with solutions _containing excess of benzene_. when the temperature is raised, a point (k) is reached at which the compound melts with separation of solid picric acid. the point, k, is, therefore, a _transition point_; analysis, however, showed that the composition of the solution at this point is very nearly that of the compound c_{ }h_{ }(no_{ })_{ }oh,c_{ }h_{ }, so that the melting point of the compound can almost be reached. the fusion of the compound of benzene and picric acid with separation of the latter is analogous to the (partial) fusion of glauber's salt with separation of anhydrous sodium sulphate. . _optically active substances._ the question as to whether a resolvable inactive body is a mixture of the two oppositely active constituents (a _dl_-mixture), or a racemic compound, is one which has given rise to considerable discussion during the past decade; and several investigators have endeavoured to establish general rules by which the question could be decided. in the case of inactive liquids it is a matter of great difficulty to arrive at a certain conclusion as to whether one is dealing with a mixture or a compound, for in this case the usual physical methods give but a dubious answer; and although the existence of a racemate in the liquid state (in the case of conine) has been asserted,[ ] most chemists incline to the belief that such a thing is improbable. even in the case of crystalline substances, where the differences between the various forms is greater, it was not always easy to discriminate between the _dl_-mixture and the racemic compound. the occurrence of hemihedral faces was considered by pasteur to be a sufficient criterion for an optically active substance. it has, however, been found that hemihedry in crystals, although a frequent accompaniment of { } optical activity, is by no means a necessary or constant expression of this property. other rules, also, which were given, although in some cases reliable, were in other cases insufficient; and all were in so far unsatisfactory that they lacked a theoretical basis. with the help of the phase rule, however, it is possible from a study of the solubility or fusion curves of the optically active and inactive substances, to decide the nature of the inactive substance, at least under certain conditions. on account of the interest and importance which these compounds possess, a brief description of the application of the phase rule to the study of such substances will be given here;[ ] the two optical antipodes being regarded as the two components. in the present chapter we shall consider only the fusion curves, the solubility curves being discussed in the next section on three-component systems. the rules which are hereby obtained, have reference only to the nature of the inactive substance in the neighbourhood of the melting points. i. _the inactive substance is a _dl_-mixture._ in this case the fusion curves will have the simple form shown in type i, fig. . a and b are the melting points of the two optical isomerides, and c the eutectic point at which the inactive mixture consisting of equal amounts of d- and l-form melts. owing to the similar effect of the one form on the freezing point of the other, the figure is symmetrical. no example of this simple case has been investigated. ii. _the two components form a racemic compound._ in this case there will be three melting point curves as in fig. , type i. in this case also the figure must be symmetrical. examples.--as examples of this, may be taken dimethyl tartrate and mandelic acid, the freezing point curves of which are given in figs. and .[ ] as can be seen, the curve for the racemic tartrate occupies a large part of the diagram, { } while that for racemic mandelic acid is much smaller. in the case of dimethyldiacetyl tartrate, this middle portion is still less. [illustration: fig. .] [illustration: fig. .] [illustration: fig. .] active dimethyl tartrate melts at . °; racemic dimethyl tartrate at . °. active mandelic acid melts at . °; the racemic acid at . °. in the one case, therefore, the racemic compound has a higher, in the other a lower melting point than the active forms. { } in the case of partially racemic compounds (_i.e._ the compound of a racemate with an optically active substance) the type of curve will be the same, but the figure will no longer be symmetrical. such a curve has been found in the case of the l-menthyl esters of d- and l-mandelic acid (fig. ).[ ] the freezing point of l-menthyl d-mandelate is . °, of l-menthyl l-mandelate . °, and of l-menthyl r-mandelate . .° it will be observed that the summit of the curve for the partially racemic mandelate is very flat, indicating that the compound is largely dissociated into its components at the temperature of fusion. iii. _the inactive substance is a pseudo-racemic mixed crystal._ in cases where the active components can form mixed crystals, the freezing-point curve will exhibit one of the forms given in fig. . the inactive mixed crystal containing per cent. of the dextro and laevo compound, is known as a pseudo-racemic mixed crystal.[ ] so far, only curves of the types i. and ii. have been obtained. examples.--the two active camphor oximes are of interest from the fact that they form a continuous series of mixed crystals, _all of which have the same melting point_. the curve which is obtained in this case is, therefore, a straight line joining the melting points of the pure active components; the melting point of the active isomerides and of the whole series of mixed crystals being . °. [illustration: fig. .] in the case of the carvoximes mixed crystals are also formed, but the equilibrium curve in this case exhibits a maximum (fig. ). at this maximum point the composition of the solid and of the liquid solution is the same. since the curve must be symmetrical, this maximum point must occur in the case of the solution containing per cent. { } of each component, which will therefore be inactive. further, this inactive mixed crystal will melt and solidify at the same temperature, and behave, therefore, like a chemical compound (p. ). the melting point of the active compounds is °; that of the inactive pseudo-racemic mixed crystal is . °· transformations.--as has already been remarked, the conclusions which can be drawn from the fusion curves regarding the nature of the inactive substances formed hold only for temperatures in the neighbourhood of the melting points. at temperatures below the melting point transformation may occur; _e.g._ a racemate may break up into a _dl_-mixture, or a pseudo-racemic mixed crystal may form a racemic compound. we shall at a later point meet with examples of a racemic compound changing into a _dl_-mixture at a definite transition point; and the pseudo-racemic mixed crystal of camphoroxime is an example of the second transformation. although at temperatures in the neighbourhood of the melting point the two active camphoroximes form only mixed crystals but no compound, a racemic compound is formed at temperatures below °. at this temperature the inactive pseudo-racemic mixed crystal changes into a racemic compound; and in the case of the other mixed crystals transformation to racemate and (excess of) active component also occurs, although at a lower temperature than in the case of the inactive mixed crystal. although this behaviour is one of considerable importance, this brief reference to it must suffice here.[ ] . _alloys._ one of the most important classes of substances in the study of which the phase rule has been of very considerable importance, is that formed by the mixtures or compounds of metals with one another known as alloys. although in the investigation of the nature of these bodies various methods are employed, one of the most important is the determination of the character of the freezing-point curve; for from the form of this, valuable information can, as we have already learned, be { } obtained regarding the nature of the solid substances which separate out from the molten mixture. although it is impossible here to discuss fully the experimental results and the oftentimes very complicated relationships which the study of the alloys has brought to light, a brief reference to these bodies will be advisable on account both of the scientific interest and of the industrial importance attaching to them.[ ] we have already seen that there are three chief types of freezing-point curves in systems of two components, viz. those obtained when ( ) the pure components crystallize out from the molten mass; ( ) the components form one or more compounds; ( ) the components form mixed crystals. in the case of the metals, representatives of these three classes are also found. . _the components separate out in the pure state._ in this case the freezing-point curve is of the simple type, fig. , i. such curves have been obtained in the case of a number of pairs of metals, _e.g._ zinc--cadmium, zinc--aluminium, copper--silver (heycock and neville), tin--zinc, bismuth--lead (gautier), and in other cases. from molten mixtures represented by one branch of the freezing-point curve one of the metals will be deposited; while from mixtures represented by the other branch, the other metal will separate out. at the eutectic point the molten mass will solidify to a _heterogeneous mixture_ of the two metals, forming what is known as the _eutectic alloy_. such an alloy, therefore, will melt at a definite temperature lower than the melting point of either of the pure metals. { } in the following table are given the temperature and the composition of the liquid at the eutectic point, for three pairs of metals:-- ------------------------------------------------------------------- | temperature. | composition of liquid. ------------------------------------------------------------------- zinc--cadmium | . ° | . atoms per cent. of cadmium. zinc--aluminium | . ° | " " aluminium. copper--silver | ° | " " copper. ------------------------------------------------------------------- the melting points of the pure metals are, zinc, °; cadmium, °; silver, °; copper, °; aluminium, °. . _the two metals can form one or more compounds._ in this case there will be obtained not only the freezing-point curves of the pure metals, but each compound formed will have its own freezing-point curve, exhibiting a point of maximum temperature, and ending on either side in an eutectic point. the simplest curve of this type will be obtained when only one compound is formed, as is the case with mercury and thallium.[ ] this curve is represented in fig. , where the summit of the intermediate curve corresponds with a composition tlhg_{ }. similar curves are also given by nickel and tin, by aluminium and silver, and by other metals, the formation of definite compounds between these pairs of metals being thereby indicated.[ ] [illustration: fig. .] { } a curve belonging to the same type, but more complicated, is obtained with gold and aluminium;[ ] in this case, several compounds are formed, some of which have a definite melting point, while others exhibit only a transition point. the chief compound is aual_{ }, which has practically the same melting point as pure gold. . _the two metals form mixed crystals (solid solutions)._ the simplest case in which the metals crystallize out together is found in silver and gold.[ ] the freezing-point curve in this case is an almost straight line joining the freezing points of the pure metals (_cf._ curve i., fig. , p. ). these two metals, therefore, can form an unbroken series of mixed crystals. in some cases, however, the two metals do not form an unbroken series of mixed crystals. in the case of zinc and silver,[ ] for example, the addition of silver _raises_ the freezing point of the mixture, until a transition point is reached. this corresponds with curve iv., fig. . silver and copper, and gold and copper, on the other hand, do not form unbroken series of mixed crystals, but the freezing-point curve exhibits an eutectic point, as in curve v., fig. . not only may there be these three different types of curves, but there may also be combinations of these. thus the two metals may not only form compounds, but one of the metals may not separate out in the pure state at all, but form mixed crystals. in this case the freezing point may rise (as in the case of silver and zinc), and one of the eutectic points will be absent. iron-carbon alloys.--of all the different binary alloys, probably the most important are those formed by iron and carbon: alloys consisting not of two metals, but of a metal and a non-metal. on account of the importance of these alloys, an attempt will be made to describe in brief some of the most important relationships met with. before proceeding to discuss the applications of the phase rule to the study of the iron-carbon alloys, however, the main { } facts with which we have to deal may be stated very briefly. with regard to the metal itself, it is known to exist in three different allotropic modifications, called [alpha]-, [beta]-, and [gamma]-ferrite respectively. like the two modifications of sulphur and of tin, these different forms exhibit transition points at which the relative stability of the forms changes. thus the transition point for [alpha]- and [beta]-ferrite is about °; and below this temperature the [alpha]- form, above it the [beta]- form is stable. for [beta]- and [gamma]-ferrite, the transition point is about °, the [gamma]- form being the stable modification above this temperature. the different modifications of iron also possess different properties. thus, [alpha]-ferrite is magnetic, but does not possess the power of dissolving carbon; [beta]-ferrite is non-magnetic, and likewise does not dissolve carbon; [gamma]-ferrite is also non-magnetic, but possesses the power of dissolving carbon, and of thus giving rise to solid solutions of carbon in iron. various alloys of iron and carbon, also, have to be distinguished. first of all, there is _hard steel_, which contains varying amounts of carbon up to per cent. microscopic examination shows that these mixtures are all homogeneous; and they are therefore to be regarded as solid solutions of carbon in iron ([gamma]-ferrite). to these solutions the name _martensite_ has been given. _pearlite_ contains about . per cent. of carbon, and, on microscopic examination, is found to be a heterogeneous mixture. if heated above °, pearlite becomes homogeneous, and forms martensite. lastly, there is a definite compound of iron and carbon, iron carbide or _cementite_, having the formula fe_{ }c. a short description may now be given of the application of the phase rule to the two-component system iron--carbon; and of the diagram showing how the different systems are related, and with the help of which the behaviour of the different mixtures under given conditions can be predicted. although, with regard to the main features of this diagram, the different areas to be mapped and the position of the frontier lines, there is general agreement; a final decision has not yet been reached with regard to the interpretation to be put on all the curves. [illustration: fig. .] the chief relationships met with in the case of the { } iron-carbon alloys are represented graphically in fig. .[ ] the curve ac is the freezing-point curve for iron,[ ] bc the unknown freezing-point curve for graphite. c is an eutectic point. suppose, now, that we start with a mixture of iron and carbon, represented by the point _x_. on lowering the temperature, a point, _y_, will be reached at which solid begins to separate out. this solid phase, however, is not pure iron, but a solid solution of carbon in iron, having the composition represented by _y'_ (cf. p. ). as the temperature continues to fall, the { } composition of the liquid phase changes in the direction of _y_c, while the composition of the solid which separates out changes in the direction _y'_d; and, finally, when the composition of the molten mass is that of the point c ( . per cent. of carbon), the whole mass solidifies to a heterogeneous mixture of two solid solutions, one of which is represented by d (containing per cent. of carbon), while the other will consist practically of pure graphite, and is not shown in the figure. the temperature of the eutectic point is °. even below the solidification point, however, changes can take place. as has been said, the solid phase which finally separates out from the molten mass is a solid solution represented by the point d; and the curve de represents the change in the composition of this solid solution with the temperature. as indicated in the figure, de forms a part of a curve representing the mutual solubility of graphite in iron and iron in graphite; the latter solutions, however, not being shown, as they would lie far outside the diagram. as the temperature falls below °, more and more graphite separates out, until at e, when the temperature is °, the solid solution contains only . per cent. of carbon. at this temperature cementite also begins to be formed, so that as the temperature continues to fall, separation of cementite (represented by the line e'f') occurs, and the composition of the solid solution undergoes alteration, as represented by the curve ef. below the temperature of the point f ( °) the martensite becomes heterogeneous, and forms pearlite. from the above description, therefore, it follows that if we start with a molten mixture of iron and carbon, the composition of which is represented by any point between d and c (from to . per cent. of carbon), we shall obtain, on cooling the mass, first of all solid solutions, the composition of which will be represented by points on the line ad; that then, after the mass has completely solidified at °, further cooling will lead to a separation of graphite and a change in the composition of the martensite (from to . per cent. of carbon). on cooling below °, however, the martensite and graphite will give rise to cementite and solid solutions { } containing less carbon than before, until, at temperatures below °, we are left with a mixture of pearlite and cementite. we have already said that iron consists in three allotropic modifications, the regions of stability of which are separated by definite transition points. the transition point for [alpha]- and [beta]-ferrite ( °) is represented in fig. by the point h; and the transition point for [beta]- and [gamma]-ferrite ( °) by the point i. since neither the [alpha]- nor the [beta]-ferrite dissolves carbon, the transition point will be unaffected by addition of carbon, and we therefore obtain the horizontal transition curve hg. in the case of the [beta]- and [gamma]-ferrite, however, the latter dissolves carbon, and the transition point is consequently affected by the amount of carbon present. this is shown by the line ig. if a martensite containing less carbon than that represented by the point g is cooled down from a temperature of, say, °, then when the temperature has fallen to that, represented by a point on the curve ig, [beta]-ferrite will separate out, and, as the temperature falls, the composition of the solid solution will alter as represented by ig. on passing below the temperature of hg, the [beta]-ferrite will be converted into [alpha]-ferrite, and, as the temperature falls, the latter will separate out more and more, while the composition of the solid solution alters in the direction gf. on passing to still lower temperatures, the solid solution at f ( . per cent. of carbon) breaks up into pearlite. if the percentage of carbon in the original solid solution was between that represented by the points g and f, then, on cooling down, no [beta]-ferrite, but only [alpha]-ferrite would separate out. we see, therefore, that when martensite is allowed to cool _slowly_, it yields a heterogeneous mixture either of ferrite and pearlite (when the original mixture contained up to . per cent. of carbon), or pearlite and cementite (when the original mixture contained between . and per cent. of carbon). these heterogeneous mixtures constitute soft steels, or, when the carbon content is low, wrought iron. the case, however, is different if the solid solution of carbon in iron is _rapidly_ cooled (quenched) from a temperature above the curve igfe to a temperature below this { } curve. in this case, the rapid cooling does not allow time for the various changes which have been described to take place; so that the homogeneous solid solution, on being rapidly cooled, remains homogeneous. in this way hard steel is obtained. by varying the rapidity of cooling, as is done in the tempering of steel, varying degrees of hardness can be obtained. the interpretation of the curves given above is that due essentially to roozeboom, who concluded from the experimental data that at temperatures below ° the stable systems are martensite and cementite, or ferrite and cementite, graphite being labile. it has, however, been pointed out, more especially by e. heyn,[ ] that this is not in harmony with the facts of metallurgy, which show that graphite is undoubtedly formed on slow cooling, and more especially when small quantities of silicon are present in the iron.[ ] while, therefore, the relationships represented by fig. are obtained under certain conditions (especially when manganese is present), heyn considers that all the curves in that figure, except acb, represent _metastable_ systems--systems, therefore, akin to supercooled liquids. rapid cooling will favour the production of the metastable systems containing cementite, and therefore give rise to relationships represented by fig. ; whereas slow cooling will lead to the stable system ferrite and graphite. presence of silicon tends to prevent, presence of manganese tends to assist, the production of the metastable systems. although this view put forward by heyn has not been conclusively proved, it must be said that there is much evidence in its favour. further investigation is, however, required before a final decision as to the interpretation of the curves can be reached. determination of the composition of compounds, without analysis.--since the equilibrium between a solid and a liquid phase depends not only on the composition of the liquid (solution) but also on that of the solid, it is necessary { } to determine the composition of the latter. in some cases this is easily effected by separating the solid from the liquid phase and analyzing it. in other cases, however, this method is inapplicable, or is accompanied by difficulties, due either to the fact that the solid phase undergoes decomposition (_e.g._ when it contains a volatile constituent), or to the difficulty of completely separating the mother liquor; as, for example, in the case of alloys. in all such cases, therefore, recourse must be had to other methods. in the first place, synthetic methods may be employed.[ ] in this case we start with a solution of the two components, to which a third substance is added, which, however, does not enter into the solid phase.[ ] we will assume that the initial solution contains _x_ gm. of a and _y_ gm. of b to gm. of c. after the solution has been cooled down to such a temperature that solid substance separates out, a portion of the liquid phase is removed with a pipette and analyzed. if, now, the composition of the solution is such that there are _x'_ gm. of a and _y'_ gm. of b to gm. of c., then the composition of the solid phase is _x_ - _x'_ gm. of a and _y_ - _y'_ gm. of b. when _x_ = _x'_, the solid phase is pure b; when _y_ = _y'_, the solid phase is pure a. we have assumed here that there is only one solid phase present, containing a and b. to make sure that the solid phase is not a solid solution in which a and b are present in the same ratio as in the liquid solution, a second determination of the composition must be made, with different initial and end concentrations. if the solid phase is a solid solution, the composition will now be found different from that found previously. the composition of the solid phase can, however, be determined in another manner, viz. by studying the fusion curve and the curve of cooling. from the form of the fusion curve alone, it is possible to decide whether the two components { } form a compound or not; and if the compounds which may be formed have a definite melting point, the position of the latter gives at once the composition of the compounds (cf. p. ). this method, however, cannot be applied when the compounds undergo decomposition before the melting point is reached. in such cases, however, the form of the cooling curve enables one to decide the composition of the solid phase.[ ] if a solution is allowed to cool slowly, and the temperature noted at definite times, the graphic representation of the rate of cooling will give a continuous curve; _e.g._ _ab_ in fig. . so soon, however, as a solid phase begins to be formed, the rate of cooling alters abruptly, and the cooling curve then exhibits a break, or change in direction (point _b_). when the eutectic point is reached, the temperature remains constant, until all the liquid has solidified. this is represented by the line _cd_. when complete solidification has occurred, the fall of temperature again becomes uniform (_de_). [illustration: fig. .] [illustration: fig. .] [illustration: fig. .] the length of time during which the temperature remains constant at the point _c_, depends, of course, on the eutectic solution. if, therefore, we take equal amounts of solution having a different initial composition, the period of constant temperature in the cooling curve will evidently be greatest in the case of the solution having the composition of the eutectic point; and the period will become less and less as we increase the amount of one of the components. the relationship between initial composition of solution and the duration of constant temperature at the eutectic point is represented by the curve _a'c'b'_ (fig. ). when a compound possessing a definite melting point is formed, it behaves as a pure substance. if, therefore, the initial composition of the { } solution is the same as that of the compound, no eutectic solution will be obtained; and therefore no line of constant temperature, such as _cd_ (fig. ). in such a case, if we represent graphically the relation between the initial composition of the solution and the duration of constant temperature, a diagram is obtained such as shown in fig. . the two maxima on the time-composition curve represent eutectic points, and the minima, _a'_, _b'_, _e'_, pure substances. the position of _e'_ gives the composition of the compound. when a series of compounds is formed, then for each compound a minimum is found on the time-composition curve. [illustration: fig. .] if the compound formed has no definite melting point, the diagram obtained is like that shown in fig. . if we start with a solution, the composition of which is represented by a point between _d_ and _b_, then, on cooling, _b_ will separate out first, and the temperature will fall until the point _d_ is reached. the temperature then remains constant until the component _b_, which has separated out, is converted into the compound. after this the temperature again falls, until it again remains constant at the eutectic point c. in the case of the first halt, the period of constant temperature is greatest when the initial composition of the solution is the same as that of the compound; and it becomes shorter and shorter with { } increase in the amount of either component. in this way we obtain the time-composition curve _b'e"d'_, of which the maximum point _e"_ gives the composition of the compound. on the other hand, the period of constant temperature for the eutectic point _c_ is greatest in the case of solutions having the same initial _composition_ as that corresponding with the eutectic point; and it decreases the more the initial composition approaches that of the pure component _a_ or the component e. in this way we obtain the time-composition curve _a'c'e'_. here also the point _e'_ represents the composition of the compound. we see, therefore, that from the graphic representation of the freezing-point curve, and from the duration of the temperature-arrests on the cooling curve, for solutions of different initial composition, it is possible, without having recourse to analysis, to decide what solid phases are formed, and what is their composition. formation of minerals.--important and interesting as is the application of the phase rule to the study of alloys, its application to the study of the conditions regulating the formation of minerals is no less so; and although we do not propose to consider different cases in detail here, still attention must be drawn to certain points connected with this interesting subject. in the first place, it will be evident from what has already been said, that that mineral which first crystallizes out from a molten magma is not necessarily the one with the highest melting point. the _composition_ of the fused mass must be taken into account. when the system consists of two components which do not form a compound, one or other of these will separate out in a pure state, according as the composition of the molten mass lies on one or other side of the eutectic composition; and the separation of the one component will continue until the composition of the eutectic point is reached. further cooling will then lead to the simultaneous separation of the two components. if, however, the two components form a stable compound (_e.g._ orthoclase, from a fused mixture of silica and potassium aluminate), then the freezing-point curve will resemble that { } shown in fig. ; _i.e._ there will be a middle curve possessing a dystectic point, and ending on either side at a eutectic point. this curve would represent the conditions under which orthoclase is in equilibrium with the molten magma. if the initial composition of the magma is represented by a point between the two eutectic points, orthoclase will separate first. the composition of the magma will thereby change, and the mass will finally solidify to a mixture of orthoclase and silica, or orthoclase and potassium aluminate, according to the initial composition. what has just been said holds, however, only for stable equilibria, and it must not be forgotten that complications can arise owing to suspended transformation (when, for example, the magma is rapidly cooled) and the production of metastable equilibria. these conditions occur very frequently in nature. the study of the formation of minerals from the point of view of the phase rule is still in its initial stages, but the results which have already been obtained give promise of a rich harvest in the future.[ ] * * * * * { } chapter xiii systems of three components general.--it has already been made evident that an increase in the number of the components from one to two gives rise to a considerable increase in the possible number of systems, and introduces not a few complications into the equilibrium relations of these. no less is this the case when the number of components increases from two to three; and although examples of all the possible types of systems of three components have not been investigated, nor, indeed, any one type fully, nevertheless, among the systems which have been studied experimentally, cases occur which not only possess a high scientific interest, but are also of great industrial importance. on account not only of the number, but more especially of the complexity of the systems constituted of three components, no attempt will be made to give a full account, or, indeed, even a survey of all the cases which have been subjected to a more or less complete experimental investigation; on the contrary, only a few of the more important classes will be selected, and the most important points in connection with the behaviour of these described. on applying the phase rule p + f = c + to the systems of three components, we see that in order that the system shall be invariant, no fewer than five phases must be present together, and an invariant system will therefore exist at a _quintuple_ point. since the number of liquid phases can never exceed the number of the components, and since there can be only one vapour phase, it is evident that in this case, { } as in others, there must always be at least one solid phase present at the quintuple point. as the number of phases diminishes, the variability of the system can increase from one to four, so that in the last case the condition of the system will not be completely defined until not only the temperature and the total pressure of the system, but also the concentrations of two of the components have been fixed. or, instead of the concentrations, the partial pressures of the components may also be taken as independent variables. graphic representation.--hitherto the concentrations of the components have been represented by means of rectangular co-ordinates, although the numerical relationships have been expressed in two different ways. in the one case, the concentration of the one component was expressed in terms of a fixed amount of the other component. thus, the solubility of a salt was expressed by the number of grams of salt dissolved by grams of water or other solvent; and the numbers so obtained were measured along one of the co-ordinates. the second co-ordinate was then employed to indicate the change of another independent variable, _e.g._ temperature. in the other case, the combined weights of the two components a and b were put equal to unity, and the concentration of the one expressed as a fraction of the whole amount. this method allows of the representation of the complete series of concentrations, from pure a to pure b, and was employed, for example, in the graphic representation of the freezing point curves. even in the case of three components rectangular co-ordinates can also be employed, and, indeed, are the most convenient in those cases where the behaviour of two of the components to one another is very different from their behaviour to the third component; as, for example, in the case of two salts and water. in these cases, the composition of the system can be represented by measuring the amounts of each of the two components in a given weight of the third, along two co-ordinates at right angles to one another; and the change of the system with the temperature can then be represented by a third axis at right angles to the first two. in those cases, { } however, where the three components behave in much the same manner towards one another, the rectangular co-ordinates are not at all suitable, and instead of these a _triangular diagram_ is employed. various methods have been proposed for the graphic representation of systems of three components by means of a triangle, but only two of these have been employed to any considerable extent; and a short description of these two methods will therefore suffice.[ ] [illustration: fig. .] in the method proposed by gibbs an equilateral triangle of unit height is used (fig ).[ ] the quantities of the different components are expressed as fractional parts of the whole, and the sum of their concentrations is therefore equal to unity, and can be represented by the height of the triangle. the corners { } of the triangle represent the pure substances a, b, and c respectively. a point on one of the sides of the triangle will give the composition of a mixture in which only two components are present, while a point within the triangle will represent the composition of a ternary mixture. since every point within the triangle has the property that the sum of the perpendiculars from that point on the sides of the triangle is equal to unity (the height of the triangle), it is evident that the composition of a ternary mixture can be represented by fixing a point within the triangle such that the lengths of the _perpendiculars_ from the point to the sides of the triangle are equal respectively to the fractional amounts of the three components present; the fractional amount of a, b, or c being represented by the perpendicular distance from the side of the triangle _opposite_ the corners a, b, and c respectively. the location of this point is simplified by dividing the normals from each of the corners on the opposite side into ten or one hundred parts, and drawing through these divisions lines at right angles to the normal and parallel to the side of the triangle. a network of rhombohedra is thus obtained, and the position of any point can be read off in practically the same manner as in the case of rectangular co-ordinates. thus the point p in fig. represents a ternary mixture of the composition a = . , b = . , c = . ; the perpendiculars p_a_, p_b_, and p_c_ being equal respectively to . , . , and . of the height of the triangle. another method of representation, due to roozeboom, consists in employing an equilateral triangle, the length of whose _side_ is made equal to unity, or one hundred; the sum of the fractional or percentage amounts of the three components being represented therefore by a side of the triangle. in this case the composition of a ternary mixture is obtained by determining, not the _perpendicular_ distance of a point p from the three sides of the triangle, but the distance in a direction _parallel_ to the sides of the triangle (fig. ). conversely, in order to represent a mixture consisting of _a_, _b_, and _c_ parts of the components a, b, and c respectively, one side of the triangle, say ab, is first of all divided into ten or one { } hundred parts; a portion, b_x_ = _a_, is then measured off, and represents the amount of a present. similarly, a portion, a_x'_ = _b_, is measured off and represents the fractional amount of b, while the remainder, _xx'_ = _c_, represents the amount of c. from _x_ and _x'_ lines are drawn parallel to the sides of the triangle, and the point of intersection, p, represents the composition of the ternary mixture of given composition; for, as is evident from the figure, the distance of the point p from the three sides of the triangle, when measured in directions _parallel_ to the sides, is equal to _a_, _b_, and _c_ respectively. from the division marks on the side ab, it is seen that the point p in this figure also represents a mixture of . parts of a, . parts of b, and . parts of c. this gives exactly the same result as the previous method. the employment of a right-angled isosceles triangle has also been suggested,[ ] but is not in general use. [illustration: fig. .] in employing the triangular diagram, it will be of use to note a property of the equilateral triangle. a line drawn from one corner of the triangle to the opposite side, represents the composition of all mixtures in which the _relative_ amounts of two of the components remain unchanged. thus, as fig. shows, if the component c is added to a mixture x, in which a and b are present in the proportions of _a_ : _b_, a mixture _x'_, which is thereby obtained, also contains a and b in the ratio _a_ : b. for the two triangles ac_x_ and bc_x_ are similar to the two triangles hc_x'_ and kc_x'_; and, { } therefore, a_x_ : b_x_ = h_x'_ : k_x'_. but a_x_ = d_x_ and b_x_ = e_x_; further h_x'_ = f_x'_ and k_x'_ = g_x'_. therefore, d_x_ : e_x_ = f_x'_ : g_x'_ = _b_ : a. at all points on the line c_x_, therefore, the ratio of a to b is the same. [illustration: fig. .] [illustration: fig. .] if it is desired to represent at the same time the change of another independent variable, _e.g._ temperature, this can be done by measuring the latter along axes drawn perpendicular to the corners of the triangle. in this way a right prism (fig. ) is obtained, and each section of this cut parallel to the base represents therefore an _isothermal surface_. * * * * * { } chapter xiv solutions of liquids in liquids we have already seen (p. ) that when two liquids are brought together, they may mix in all proportions and form one homogeneous liquid phase; or, only partial miscibility may occur, and two phases be formed consisting of two mutually saturated solutions. in the latter case, the concentration of the components in either phase and also the vapour pressure of the system had, at a given temperature, perfectly definite values. in the case of three liquid components, a similar behaviour may be found, although complete miscibility of three components with the formation of only one liquid phase is of much rarer occurrence than in the case of two components. when only partial miscibility occurs, various cases are met with according as the three components form one, two, or three pairs of partially miscible liquids. further, when two of the components are only partially miscible, the addition of the third may cause either an increase or a diminution in the mutual solubility of these. an increase in the mutual solubility is generally found when the third component dissolves readily in each of the other two; but when the third component dissolves only sparingly in the other two, its addition diminishes the mutual solubility of the latter. we shall consider here only a few examples illustrating the three chief cases which can occur, viz. ( ) a and b, and also b and c are miscible in all proportions, while a and c are only partially miscible. ( ) a and b are miscible in all proportions, but a and c and b and c are only partially miscible. ( ) a and b, b and c, and a and c are only partially miscible. a, b, and c here represent the three components. .--_the three components form only one pair of partially miscible liquids._ { } an example of this is found in the three substances: chloroform, water, and acetic acid.[ ] chloroform and acetic acid, and water and acetic acid, are miscible with one another in all proportions, but chloroform and water are only partially miscible with one another. if, therefore, chloroform is shaken with a larger quantity of water than it can dissolve, two layers will be formed consisting one of a saturated solution of water in chloroform, the other of a saturated solution of chloroform in water. the composition of these two solutions at a temperature of about °, will be represented by the points _a_ and _b_ in fig. ; _a_ representing a solution of the composition: chloroform, per cent.; water, per cent.; and _b_ a solution of the composition: chloroform, . per cent.; water, . per cent. when acetic acid is added, it distributes itself between the two liquid layers, and two conjugate _ternary_ solutions, consisting of chloroform, water, and acetic acid are thereby produced which are in equilibrium with one another, and the composition of which will be represented by two points inside the triangle. in this way a series of pairs of ternary solutions will be obtained by the addition of acetic acid to the mixture of chloroform and water. by this addition, also, not only do the two liquid phases become increasingly rich in acetic acid, but the mutual solubility of the chloroform and water increases; so that the layer _a_ becomes relatively richer in water, and layer _b_ relatively richer in chloroform. this is seen from the following table, which gives the percentage composition of different conjugate ternary solutions at °. ------------------------------------------------------------------------- heavier layer. | lighter layer. ------------------------------------------------------------------------- chloroform. | water. | acetic acid. | chloroform. | water. | acetic acid. ------------------------------------------------------------------------- . | . | | . | . | . | . | . | . | . | . . | . | . | . | . | . . | . | . | . | . | . . | . | . | . | . | . . | . | . | . | . | . . | . | . | . | . | . ------------------------------------------------------------------------- { } by the continued addition of acetic acid, the composition of the successive conjugate solutions in equilibrium with one another becomes, as the table shows, more nearly the same, and a point is at length reached at which the two solutions become identical. this will therefore be a _critical point_ (p. ). increased addition of acetic acid beyond this point will lead to a single homogeneous solution. these relationships are represented graphically by the curve _a_k_b_, fig. . the points on the branch _a_k represent the composition of the solutions relatively rich in chloroform (heavier layer), those on the curve _b_k the composition of solutions relatively rich in water (lighter layer); and the points on these two branches representing conjugate solutions are joined together by "tie-lines." thus, the points _a'b'_ represent conjugate solutions, and the line _a'b'_ is a tie-line. [illustration: fig. .] since, now, acetic acid when added to a heterogeneous mixture of chloroform and water does not enter in equal amounts into the two layers, but in amounts depending on its coefficient of distribution between chloroform and water,[ ] the { } tie-lines will not be parallel to ab, but will be inclined at an angle. as the solutions become more nearly the same, the tie-lines diminish in length, and at last, when the conjugate solutions become identical, shrink to a point. for the reason that the tie-lines are, in general, not parallel to the side of the triangle, the critical point at which the tie-line vanishes will not be at the summit of the curve, but somewhere below this, as represented by the point k. the curve _a_k_b_, further, forms the boundary between the heterogeneous and homogeneous systems. a mixture of chloroform, water, and acetic acid represented by any point outside the curve _a_k_b_, will form only one homogeneous phase; while any mixture represented by a point within the curve, will separate into two layers having the composition represented by the ends of the tie-line passing through that point. thus, a mixture of the total composition _x_, will separate into two layers having the composition _a'_ and _b'_ respectively. since three components existing in three phases (two liquid and a vapour phase) constitute a bivariant system, the final result, _i.e._ the composition of the two layers and the total vapour pressure, will not depend merely on the temperature, as in the case of two-component systems (p. ), but also on the composition of the mixture with which we start. at constant temperature, however, all mixtures, the composition of which is represented by a point on one and the same tie-line, will separate into the same two liquid phases, although the relative _amounts_ of the two phases will vary. if we omit the vapour phase, the condition of the system will depend on the pressure as well as on the temperature and composition of the initial mixture. by keeping the pressure constant, _e.g._ at atmospheric pressure (by working with open vessels), the system again becomes bivariant. we see, therefore, that the position of the curve _a_k_b_, or, in other words, the composition of the different conjugate ternary solutions, will vary with the temperature, and only with the temperature, if we assume either constancy of pressure or the presence of the vapour phase. since at the critical point the condition is imposed that the two liquid phases become identical, one degree of freedom is thereby { } lost, and therefore only one degree of freedom remains. the critical point, therefore, depends on the temperature, and only on the temperature; always on the assumption, of course, that the pressure is constant, or that a vapour phase is present. fig. , therefore, represents an isothermal (p. ). it is of importance to note that the composition of the different ternary solutions obtained by the addition of acetic acid to a heterogeneous mixture of chloroform and water, will depend not only on the amount of acetic acid added, but also on the relative amounts of chloroform and water at the commencement. suppose, for example, that we start with chloroform and water in the proportions represented by the point _c'_ (fig. ). on mixing these, two liquid layers having the composition _a_ and _b_ respectively will be formed. since by the addition of acetic acid the relative amounts of these two substances in the system as a whole cannot undergo alteration, the total composition of the different ternary systems which will be obtained must be represented by a point on the line c_c'_ (p. ). thus, for example, by the addition of acetic acid a system may be obtained, the total composition of which is represented by the point _c"_. such a system, however, will separate into two conjugate ternary solutions, the composition of which will be represented by the ends of the tie-line passing through the point _c"_. so long as the total composition of the system lies below the point s, _i.e._ the point of intersection of the line c_c'_ with the boundary curve, two liquid layers will be formed; while all systems having a total composition represented by a point on the line c_c'_, above s, will form only one homogeneous solution. from the figure, also, it is evident that as the amount of acetic acid is increased, the relative amounts of the two liquid layers formed differ more and more until at s a limiting position is reached, when the amount of the one liquid layer dwindles to nought, and only one solution remains. the same reasoning can be carried through for different initial amounts of chloroform and water, but it would be fruitless to discuss all the different systems which can be obtained. the reason for the preceding discussion was to show that { } although the addition of acetic acid to a mixture of chloroform and water will, in all cases, lead ultimately to a limiting system, beyond which homogeneity occurs, that point is not necessarily the critical point. on the contrary, in order that addition of acetic acid shall lead to the critical mixture, it is necessary to start with a binary mixture of chloroform and water in the proportions represented by the point _c'_. in this case, addition of acetic acid will give rise to a series of conjugate ternary solutions, the composition of which will gradually approach to one another, and at last become identical. from the foregoing it will be evident that the amount of acetic acid required to produce a homogenous solution, will depend on the relative amounts of chloroform and water from which we start, and can be ascertained by joining the corner c with the point on the line ab representing the total composition of the initial binary system. the point where this line intersects the boundary curve _a_k_b_ will indicate the minimum amount of acetic acid which, under these particular conditions, is necessary to give one homogeneous solution. retrograde solubility.--as a consequence of the fact that acetic acid distributes itself unequally between chloroform and water, and the critical point k, therefore, does not lie at the summit of the curve, it is possible to start with a homogeneous solution in which the percentage amount of acetic acid is greater than at the critical point, and to pass from this first to a heterogenous and then again to a homogenous system merely by altering the relative amounts of chloroform and water. this phenomenon, to which the term _retrograde solubility_ is applied, will be observed not only in the case of chloroform, water, and acetic acid, but in all other systems in which the critical point lies below the highest point of the boundary curve for heterogeneous systems. this will be seen from the diagram, fig. . starting with the homogeneous system represented by _x_, in which, therefore, the concentration of c is greater than in the critical mixture (k), if the relative amounts of a and b are altered in the direction _xx'_, while the amount of c is maintained constant, the system will become heterogeneous when the composition reaches the point _y_, and will remain { } heterogeneous with changing composition until the point _y'_ is passed, when it will again become homogeneous. if the relative concentration of c is increased above that represented by the line ss, this phenomenon will, of course, no longer be observed. [illustration: fig. .] relationships similar to those described for chloroform, water, and acetic acid are also found in the case of a number of other trios, _e.g._ ether, water, and alcohol; chloroform, water, and alcohol.[ ] they have also been observed in the case of a considerable number of molten metals.[ ] thus, molten lead and silver, as well as molten zinc and silver, mix in all proportions; but molten lead and zinc are only partially miscible with one another. when melted together, therefore, the last two metals will separate into two liquid layers, one rich in lead, the other rich in zinc. if silver is now added, and the temperature maintained above the freezing point of the mixture, the silver passes for the most part, in accordance with the law of distribution, into the upper layer, which is rich in zinc; silver being more soluble in molten zinc than in molten lead. this is clearly shown by the following figures:--[ ] { } -------------------------------------------------- heavier alloy. | lighter alloy. -------------------------------------------------- percentage amount of | percentage amount of silver. | lead. | zinc. | silver. | lead. | zinc. -------------------------------------------------- . | . | . | . | . | . . | . | . | . | . | . . | . | . | . | . | . -------------------------------------------------- the numbers in the same horizontal row give the composition of the conjugate alloys, and it is evident that the upper layer consists almost entirely of silver and zinc. on allowing the mixture to cool slightly, the upper layer solidifies first, and can be separated from the still molten lead layer. it is on this behaviour of silver towards a mixture of molten lead and zinc that the parkes's method for the desilverization of lead depends.[ ] if aluminium is also added, a still larger proportion of silver passes into the lighter layer, and the desilverization of the lead is more complete.[ ] [illustration: fig. .] [illustration: fig. .] the influence of temperature.--as has already been said, a ternary system existing in three phases possesses two degrees of freedom; and the state of the system is therefore dependent not only on the relative concentration of the components, but also on the temperature. as the temperature changes, therefore, the boundary curve of the heterogeneous system will also alter; and in order to represent this alteration we shall make use of the right prism, in which the temperature is measured upwards. in this way the boundary curve passes into a boundary surface (called a dineric surface), as shown in fig. . in this figure the curve _akb_ is the isothermal for the ternary system; the curve _a_k_b_ shows the change in the _binary_ system ab with the temperature, with { } a critical point at k. this curve has the same meaning as those given in chapter vi. the curve _k_k is a critical curve joining together the critical points of the different isothermals. in such a case as is shown in fig. , there does not exist any real critical temperature for the ternary system, for as the temperature is raised, the amount of c in the "critical" solution becomes less and less, and at k only two components, a and b, are present. in the case, however, represented in fig. , a real ternary critical point is found. in this figure _ak'b_ is an isothermal, _ak"_ is the curve for the binary system, and k is the ternary critical point. all points outside the helmet-shaped boundary surface represent homogeneous ternary solutions, while all points within the surface belong to heterogeneous systems. above the temperature of the point k, the three components are miscible in all proportions. an example of a ternary system yielding such a boundary surface is that consisting of phenol, water, and acetone.[ ] in this case the critical temperature k is °, and the composition at this ternary critical point is-- water per cent. acetone " phenol " [illustration: fig. .] the difference between the two classes of systems just mentioned, is seen very clearly by a glance at the figs. and , which show the projection of the isothermals on the base of the prism. in fig. , the projections yield paraboloid curves, the two branches of which are cut by one side of the triangle; and the critical point is represented by a point on { } this side. in the second case (fig. ), however, the projections of the isothermals form ellipsoidal curves surrounding the supreme critical point, which now lies _inside the triangle_. at lower temperatures, these isothermal boundary curves are cut by a side of the triangle; at the critical temperature, _k"_, of the binary system ab, the boundary curve _touches_ the side ab, while at still higher temperatures the boundary curve comes to lie entirely within the triangle. at any given temperature, therefore, between the critical point of the binary system (_k"_), and the supreme critical point of the ternary system (k), each pair of the three components are miscible with one another in all proportions; for the region of heterogeneous systems is now bounded by a closed curve lying entirely within the triangle. outside this curve only homogeneous systems are found. binary mixtures, therefore, represented by any point on one of the sides of the triangle must be homogeneous, for they all lie outside the boundary curve for heterogeneous states. [illustration: fig. .] . _the three components can form two pairs of partially miscible liquids._ in the case of the three components water, alcohol, and succinic nitrile, water and alcohol are miscible in all proportions, but not so water and succinic nitrile, or alcohol and succinic nitrile. [illustration: fig. .] [illustration: fig. .] as we have already seen (p. ), water and succinic nitrile can form two liquid layers between the temperatures . ° and . °; while alcohol and nitrile can form two liquid layers between ° and °. if, then, between these two temperature limits, alcohol is added to a heterogeneous mixture of water and nitrile, or water is added to a mixture of alcohol and nitrile, two heterogeneous ternary systems will be formed, { } and two boundary curves will be obtained in the triangular diagram, as shown in fig. .[ ] on changing the temperature, the boundary curves will also undergo alteration, in a manner similar to that just discussed. as the temperature falls, the two curves will spread out more and more into the centre of the triangle, and might at last meet one another; while at still lower temperatures we may imagine the curves still further expanding so that the two heterogeneous regions flow into one another and form a _band_ on the triangular diagram (fig. ). this, certainly, has not been realized in the case of the three components mentioned, because at a temperature higher than that at which the two heterogeneous regions could fuse together, solid separates out. [illustration: fig. .] the gradual expansion of a paraboloid into a band-like area of heterogeneous ternary systems, has, however, been observed in the case of water, phenol, and aniline.[ ] in fig. are shown three isothermals, viz. those for °, °, and °. at °, water and aniline form two layers having the composition-- water, . per cent. } { water, per cent. } and { aniline, . " } { aniline, " { } and the critical point _k'_ has the composition-- water, ; phenol, . ; aniline, . per cent. at °, the composition of the two binary solutions is-- water, per cent. } { water per cent. } and { aniline, " } { aniline, " while the point _k"_ has the composition water, . ; phenol, . ; aniline, . per cent. at °, the region of heterogeneous states now forms a band, and the two layers formed by water and aniline have the composition-- water, . per cent. } { water, . per cent. } and { aniline, . " } { aniline, . " while the two layers formed by water and phenol have the composition-- water, per cent.} { water, per cent. } and { phenol, " } { phenol, " all mixtures of water, phenol, and aniline, therefore, the composition of which is represented by any point within the band _abcd_, will form two ternary solutions; while if the composition is represented by a point outside the band, only one homogeneous solution will be produced. . _the three components form three pairs of partially miscible liquids._ [illustration: fig. .] the third chief case which can occur is that no two of the components are completely miscible with one another. in this case, therefore, we shall obtain three paraboloid boundary curves, as shown in fig. . if, now, we imagine these three curves to expand in towards the centre of the triangle, as might happen, for example, by lowering the temperature, a point will { } be reached at which the curves partly overlap, and we shall get the appearance shown in fig. . the points _a_, _b_, and _c_ represent the points where the three curves cut, and the triangle _abc_ is a region where the curves overlap. from this diagram we can see that any mixture having a composition represented by a point in one of the clear spaces at the corners of the larger triangle, will form a homogeneous solution; if the composition corresponds to any point lying in one of the quadrilateral regions _x__{ }, _x__{ } or _x__{ }, two ternary solutions will be formed; while, if the composition is represented by any point in the inner triangle, separation into three layers will occur. [illustration: fig. .] since in the clear regions at the corners of the triangle we have three components in two phases, liquid and vapour, the systems have three degrees of freedom. at constant temperature, therefore, the condition of the system is not defined until the concentrations of two of the components are fixed. a system belonging to one of the quadrilateral spaces has, as we have seen, two degrees of freedom; besides the temperature, one concentration must be fixed. lastly, a system the composition of which falls within the inner triangle _abc_, will form three layers, and will therefore possess only one degree of freedom. if the temperature is fixed, the composition of the three layers is also determined, viz. that of the points _a_, _b_, and _c_ respectively; and a change in the composition of the original mixture can lead only to a difference in the relative amounts of the three layers, not to a difference in their composition. an example of a system which can form three liquid phases is found in water, ether, and succinic nitrile.[ ] * * * * * { } chapter xv presence of solid phases a. the ternary eutectic point.--in passing to the consideration of those ternary systems in which one or more solid phases can exist together with one liquid phase, we shall first discuss not the solubility curves, as in the case of two-component systems, but the simpler relationships met with at the freezing point. that is, we shall first of all examine the freezing point curves of ternary systems. [illustration: fig. .] since it is necessary to take into account not only the changing composition of the liquid phase, but also the variation of the temperature, we shall employ the right prism for the graphic representation of the systems, as shown in fig. . a, b, and c in this figure, therefore, denote the melting points of the pure components. if we start with the component a at its melting point, and add b, which is capable of dissolving in liquid a, the freezing point of a will be lowered; and, similarly, the freezing point of b by addition of a. in this way we get the freezing point curve a_k__{ }b for the binary system; _k__{ }; being an eutectic point. this curve will of course lie in the plane formed by one face of the prism. in a similar manner we obtain the freezing point curves a_k__{ }c and b_k__{ }c. these curves give the composition of the binary liquid phases in equilibrium { } with one of the pure components, or at the eutectic points, with a mixture of two solid components. if, now, to the system represented say by the point _k__{ }, a small quantity of the third component, c, is added, the temperature at which the two solid phases a and b can exist in equilibrium with the liquid phase is lowered; and this depression of the eutectic point is all the greater the larger the addition of c. in this way we obtain the curve _k__{ }k, which slopes inwards and downwards, and indicates the varying composition of the ternary liquid phase with which a mixture of solid a and b are in equilibrium. similarly, the curves _k__{ }k and _k__{ }k are the corresponding eutectic curves for a and c, and b and c in equilibrium with ternary solutions. at the point k, the three solid components are in equilibrium with the liquid phase; and this point, therefore, represents _the lowest temperature attainable with the three components given_. each of the ternary eutectic curves, as they may be called, is produced by the intersection of two surfaces, while at the ternary eutectic point, three surfaces, viz. a_k__{ }k_k__{ }, b_k__{ }k_k__{ }, and c_k__{ }k_k__{ } intersect. any point on one of these surfaces represents a ternary solution in equilibrium with only one component in the solid state; the lines or curves of intersection of these represent equilibria with two solid phases, while at the point k, the ternary eutectic point, there are three solid phases in equilibrium with a liquid and a vapour phase. the surfaces just mentioned represent bivariant systems. one component in the solid state can exist in equilibrium with a ternary liquid phase under varying conditions of temperature and concentration of the components in the solution; and before the state of the system is defined, these two variables, temperature and composition of the liquid phase, must be fixed. on the other hand, the curves formed by the intersection of these planes represent univariant systems; at a given temperature two solid phases can exist in equilibrium with a ternary solution, only when the latter has a definite composition. lastly, the ternary eutectic point, k, represents an invariant system; three solid phases can exist in equilibrium with a ternary solution, only when the latter has one fixed composition and when the temperature has a definite value. this eutectic point, therefore, { } has a perfectly definite position, depending only on the nature of the three components. instead of employing the prism, the change in the composition of the ternary solutions can also be indicated by means of the _projections_ of the curves _k__{ }k, _k__{ }k, and _k__{ }k on the base of the prism, the particular temperature being written beside the different eutectic points and curves. this is shown in fig. . [illustration: fig. .] the numbers which are given in this diagram refer to the eutectic points for the system bismuth--lead--tin, the data for which are as follows:--[ ] -------------------------------------------------------------------- melting point of | percentage composition of | temperature of binary pure metal. | binary eutectic mixture. | eutectic point. -------------------------------------------------------------------- | bi pb sn | bismuth, ° | -- | bi--pb, ° lead, ° | -- | bi--sn, ° tin, ° | -- | pb--sn, ° -------------------------------------------------------------------- -------------------------------------------------- percentage composition of | temperature of ternary ternary eutectic mixture. | eutectic point. -------------------------------------------------- bi pb sn | | ° -------------------------------------------------- formation of compounds.--in the case just discussed, the components crystallized out from solution in the pure state. if, however, combination can take place between two of the components, the relationships will be somewhat different; the curves which are obtained in such a case being represented in fig. . from the figure, we see that the two components b { } and c form a compound, and the freezing point curve of the binary system has therefore the form shown in fig. (p. ). further, there are two _ternary_ eutectic points, k_{ } and k_{ }, the solid phases present being a, b, and compound, and a, c, and compound respectively. [illustration: fig. .] the particular point, now, to which it is desired to draw attention is this. suppose the ternary eutectic curves projected on a plane parallel to the face of the prism containing b and c, _i.e._ suppose the concentrations of the two components b and c, between which interaction can occur, expressed in terms of a constant amount of the third component a,[ ] curves will then be obtained which are in every respect analogous to the freezing point curves of binary systems. thus, suppose the eutectic curves _k__{ }k and _k__{ }k in fig. projected on the face bc of the prism, then evidently a curve will be obtained consisting of two branches meeting in an eutectic point. on the other hand, the projection of the ternary eutectic curves in fig. on the face bc of the prism, will give a curve consisting of three portions, as shown by the outline _k__{ }k_{ }k_{ }_k__{ } in fig. . various examples of this have been studied, and the following table contains some of the data for the system ethylene bromide (a), picric acid (b), and [beta]-naphthol (c), obtained by bruni.[ ] { } ------------------------------------------------------------------------- | temperature | solid phases present. ------------------------------------------------------------------------- point _k__{ } | . ° | ethylene bromide, picric acid. curve _k__{ }k_{ } | -- | " " point k_{ } | . ° | ethylene bromide, picric acid, and | | [beta]-naphthol picrate. curve k_{ }d'k_{ } | -- | ethylene bromide, | | [beta]-naphthol picrate. point d' | . ° | " " " " point k_{ } | . ° | " " [beta]-naphthol, | | and picrate. curve k_{ }_k__{ } | -- | " " [beta]-naphthol. point _k__{ } | . ° | " " " ------------------------------------------------------------------------- from what has been said, it will be apparent that if the ternary eutectic curve of a three-component system (in which one of the components is present in constant amount) is determined, it will be possible to state, from the form of curve obtained, whether or not the two components present in varying amount crystallize out pure or combine with one another to form a compound. it may be left to the reader to work out the curves for the other possible systems; but it will be apparent, that the projections of the ternary eutectic curves in the manner given will yield a series of curves alike in all points to the binary curves given in figs. - , pp. - . since, from the method of investigation, the temperatures of the eutectic curves will depend on the melting point of the third component (a), it is possible, by employing substances with widely differing melting points, to investigate the interaction of the two components (_e.g._ two optical antipodes) b and c over a range of temperature; and thus determine the range of stability of the compound, if one is formed. since, in some cases, two substances which at one temperature form mixed crystals combine at another temperature to form a definite compound, the relationships which have just been described can be employed, and indeed, have been employed, to determine the temperature at which this change occurs.[ ] by means of this method, adriani found that below ° _i_-camphoroxime exists as a racemic compound, while above { } that temperature it occurs as a racemic mixed crystal[ ] (_cf._ p. ). b. equilibria at higher temperatures. formation of double salts.--after having studied the relationships which are found in the neighbourhood of the freezing points of the components, we now pass to the discussion of the equilibria which are met with at higher temperatures. in this connection we shall confine the discussion entirely to the systems formed of two salts and water, dealing more particularly with those cases in which the water is present in relatively large amount and acts as solvent. further, in studying these systems, one restriction must be made, viz. that the single salts are salts either of the same base or of the same acid; or are, in other words, capable of yielding a common ion in solution. such a restriction is necessary, because otherwise the system would be one not of three but of four components.[ ] transition point.--as is very well known, there exist a number of hydrated salts which, on being heated, undergo apparent partial fusion; and in chapter v. the behaviour of such hydrates was more fully studied in the light of the phase rule. glauber's salt, or sodium sulphate decahydrate, for example, on being heated to a temperature of about . °, partially liquefies, owing to the fact that the water of crystallization is split off and anhydrous sodium sulphate formed, as shown by the equation-- na_{ }so_{ }, h_{ }o = na_{ }so_{ } + h_{ }o the temperature of . °, it was learned, constituted a _transition point_ for the decahydrate and anhydrous salt plus water; decomposition of the hydrated salt occurring above this temperature, combination of the anhydrous salt and water below it. analogous phenomena are met with in systems constituted of two salts and water in which the formation of double salts can take place. thus, for example, if _d_-sodium potassium { } tartrate is heated to above °, apparent partial fusion occurs, and the two single salts, _d_-sodium tartrate and _d_-potassium tartrate, are deposited, the change which occurs being represented by the equation-- nakc_{ }o_{ }h_{ }, h_{ }o = na_{ }c_{ }o_{ }h_{ }, h_{ }o + k_{ }c_{ }o_{ }h_{ },½h_{ }o + h_{ }o on the other hand, if sodium and potassium tartrates are mixed with water in the proportions shown on the right side of the equation, the system will remain partially liquid so long as the temperature is maintained above ° (in a closed vessel to prevent loss of water), but on allowing the temperature to fall below this point, complete solidification will ensue, owing to the formation of the hydrated double salt. below °, therefore, the hydrated double salt is the stable system, while above this temperature the two single salts plus saturated solution are stable.[ ] a similar behaviour is found in the case of the double salt copper dipotassium chloride (cucl_{ }, kcl, h_{ }o or cuk_{ }cl_{ }, h_{ }o).[ ] when this salt is heated to °, partial liquefaction occurs, and the original blue plate-shaped crystals give place to brown crystalline needles and white cubes; while on allowing the temperature to fall, re-formation of the blue double salt ensues. the temperature ° is, therefore, a transition point at which the reversible reaction-- cuk_{ }cl_{ }, h_{ }o <--> cukcl_{ } + kcl + h_{ }o takes place. the decomposition of sodium potassium tartrate, or of copper dipotassium chloride, differs in so far from that of glauber's salt that _two_ new solid phases are formed; and in the case of copper dipotassium chloride, one of the decomposition products is itself a double salt. in the two examples of double salt decomposition which have just been mentioned, sufficient water was yielded to cause a partial liquefaction; but other cases are known where this is not so. thus, when copper calcium acetate is heated to a { } temperature of °, although decomposition of the double salt into the two single salts occurs as represented by the equation[ ]-- cuca(c_{ }h_{ }o_{ })_{ }, h_{ }o = cu(c_{ }h_{ }o_{ })_{ },h_{ }o + ca(c_{ }h_{ }o_{ })_{ },h_{ }o + h_{ }o the amount of water split off is insufficient to give the appearance of partial fusion, and, therefore, only a change in the crystals is observed. the preceding examples, in which decomposition of the double salt was effected by a rise of temperature, were chosen for first consideration as being more analogous to the case of glauber's salt; but not a few examples are known where the reverse change takes place, formation of the double salt occurring _above_ the transition point, and decomposition into the constituent salts below it. instances of this behaviour are found in the case of the formation of astracanite from sodium and magnesium sulphates, and of sodium ammonium racemate from the two sodium ammonium tartrates, to which reference will be made later. between these various systems, however, there is no essential difference; and whether decomposition or formation of the double salt occurs at temperatures above the transition point, will of course depend on the heat of change at that point. for, in accordance with van't hoff's law of movable equilibrium (p. ), that change will take place at the higher temperature which is accompanied by an absorption of heat. if, therefore, the formation of the double salt from the single salts is accompanied by an absorption of heat, the double salt will be formed from the single salts on raising the temperature; but if the reverse is the case, then the double salt on being heated will decompose into the constituent salts.[ ] in those cases, now, which have so far been studied, the change at the transition point is accompanied by a taking up or a splitting off of water; and _in such cases the general rule can be given, that if the water of crystallization of the two constituent { } salts together is greater than that of the double salt, the latter will be produced from the former on raising the temperature_ (_e.g._ astracanite from sodium and magnesium sulphates); _but if the double salt contains more water of crystallization than the two single salts, increase of temperature will effect the decomposition of the double salt_. when we seek for the connection between this rule and the law of van't hoff, it is found in the fact that the heat effect involved in the hydration or dehydration of the salts is much greater than that of the other changes which occur, and determines, therefore, the sign of the total heat effect.[ ] vapour pressure. quintuple point.--in the case of glauber's salt, we saw that at a certain temperature the vapour pressure curve of the hydrated salt cut that of the saturated solution of anhydrous sodium sulphate. that point, it will be remembered, was a quadruple point at which the four phases sodium sulphate decahydrate, anhydrous sodium sulphate, solution, and vapour, could co-exist; and was also the point of intersection of the curves for four univariant systems. in the case of the formation of double salts, similar relationships are met with; and also certain differences, due to the fact that we are now dealing with systems of three components. two cases will be chosen here for brief description, one in which formation, the other in which decomposition of the double salt occurs with rise of temperature. on heating a mixture of sodium sulphate decahydrate and magnesium sulphate heptahydrate, it is found that at ° partial liquefaction occurs with formation of astracanite. at this temperature, therefore, there can coexist the five phases-- na_{ }so_{ }, h_{ }o; mgso_{ }, h_{ }o; na_{ }mg(so_{ })_{ }, h_{ }o; solution; vapour. this constitutes, therefore, a _quintuple point_; and since there are three components present in five phases, the system is invariant. this point, also, will be the point of intersection of curves for five univariant systems, which, in this case, must each be composed of four phases. these systems are-- { } i. na_{ }so_{ }, h_{ }o; mgso_{ }, h_{ }o; na_{ }mg(so_{ })_{ }, h_{ }o; vapour. ii. na_{ }so_{ }, h_{ }o; mgso_{ }, h_{ }o; solution; vapour. iii. mgso_{ }, h_{ }o; na_{ }mg(so_{ })_{ }, h_{ }o; solution; vapour. iv. na_{ }so_{ }, h_{ }o; na_{ }mg(so_{ })_{ }, h_{ }o; solution; vapour. v. na_{ }so_{ }, h_{ }o; mgso_{ }, h_{ }o; na_{ }mg(so_{ })_{ }, h_{ }o; solution. [illustration: fig. .] on representing the vapour pressures of these different systems graphically, a diagram is obtained such as is shown in fig. ,[ ] the curves being numbered in accordance with the above list. when the system i. is heated, the vapour pressure increases until at the quintuple point the liquid phase (solution) is formed, and it will then depend on the relative amounts of the different phases whether on further heating there is formed system iii., iv., or v. if either of the first two is produced, we shall obtain the vapour pressure of the solutions saturated with respect to both double salt and one of the single salts; while if the vapour phase disappears, there will be obtained the pressure of the condensed systems formed of double salt, two single salts and solution. this curve, therefore, indicates the _change of the transition point with pressure_; and since in the ordinary determinations of the transition point in open vessels, we are in reality dealing with condensed systems under the pressure of atm., it will be evident that the transition point does not accurately coincide with the quintuple point (at which the system is under the pressure of its own vapour). as in the case of other condensed systems, however, pressure has only a slight influence on the temperature of the transition point. whether or not pressure raises or lowers the transition point will depend on whether transformation is accompanied by an increase or { } diminution of volume (theorem of le chatelier, p. ). in the case of the formation of astracanite, expansion occurs, and the transition point will therefore be raised by increase of pressure. although measurements have not been made in the case of this system, the existence of such a curve has been experimentally verified in the case of copper and calcium acetates and water (v. _infra_).[ ] [illustration: fig. .] the vapour pressure diagram in the case of copper calcium acetate and water (fig. ), is almost the reverse of that already discussed. in this case, the double salt decomposes on heating, and the decomposition is accompanied by a contraction. curve i. is the vapour pressure curve for double salt, two single salts (p. ), and vapour; curves ii. and iii. give the vapour pressures of solutions saturated with respect to double salt and one of the single salts; curve iv. is the curve of pressures for the solutions saturated with respect to the two single salts; while curve v. again represents the change of the transition point with pressure. on examining this diagram, it is seen that whereas { } astracanite could exist both above and below the quintuple point, copper calcium acetate can exist only _below_ the quintuple point. this behaviour is found only in those cases in which the double salt is decomposed by rise of temperature, and where the decomposition is accompanied by a diminution of volume.[ ] as already mentioned, the decomposition of copper calcium acetate into the single salts and saturated solution is accompanied by a contraction, and it was therefore to be expected that increase of pressure would _lower_ the transition point. this expectation of theory was confirmed by experiment, for van't hoff and spring found that although the transition point under atmospheric pressure is about °, decomposition of the double salt took place even at the ordinary temperature when the pressure was increased to atm.[ ] solubility curves at the transition point.--at the transition point, as has already been shown, the double salt and the two constituent salts can exist in equilibrium with the same solution. the transition point, therefore, must be the point of intersection of two solubility curves; the solubility curve of the double salt and the solubility curve of the mixtures of the two constituent salts. it should be noted here that we are not dealing with the solubility curves of the single salts separately, for since the systems are composed of three components, a single solid phase can, at a given temperature, be in equilibrium with solutions of different composition, and two solid phases in contact with solution (and vapour) are therefore necessary to give an univariant system. the same applies, of course, to the solubility of the double salt; for a double salt also constitutes a single phase, and can therefore exist in equilibrium with solutions of varying composition. if, however, we make the restriction (which we do for the present) that the double salt is not decomposed by water, then the solution will contain the constituent salts in the same relative proportions as they are contained in the double salt, and the system may therefore be regarded as one of _two_ components, viz. double salt and water. in this case one solid phase is sufficient, with solution and { } vapour, to give an univariant system; and at a given temperature, therefore, the solubility will have a perfectly definite value. since in almost all cases the solubility is determined in open vessels, we shall in the following discussion consider that the vapour phase is absent, and that the system is under a constant pressure, that of the atmosphere. with this restriction, therefore, four phases will constitute an invariant system, three phases an univariant, and two phases a bivariant system. it has already been learned that in the case of sodium sulphate and water, the solubility curve of the salt undergoes a sudden change in direction at the transition point, and that this is accompanied by a change in the solid phase in equilibrium with the solution. the same behaviour is also found in the case of double salts. to illustrate this, we shall briefly discuss the solubility relations of a few double salts, beginning with one of the simplest cases, that of the formation of rubidium racemate from rubidium _d_- and _l_-tartrates. the solubilities are represented diagrammatically in fig. , the numerical data being contained in the following table, in which the solubility is expressed as the number of gram-molecules rb_{ }c_{ }h_{ }o_{ } in gm.-molecules of water.[ ] --------------------------------------------------------------- temperature. | solubility of tartrate | solubility of racemate. | mixture. | --------------------------------------------------------------- ° | . | . ° | -- | . . ° | -- | . . ° | . | -- ° | . | -- --------------------------------------------------------------- in fig. the curve ab represents the solubility of the racemate, while a'bc represents the solubility of the mixed tartrates. below the transition point, therefore, the solubility of the racemate is less than that of the mixed tartrates. the solution, saturated with respect to the latter, will be supersaturated with respect to the racemate; and if a nucleus of this is present, racemate will be deposited, and the mixed tartrates, if present in equimolecular amounts, will ultimately { } entirely disappear, and only racemate will be left as solid phase. the solution will then have the composition represented by a point on the curve ab. conversely, above the transition point, the saturated solution of the racemate would be supersaturated with respect to the two tartrates, and transformation into the latter would ensue. if, therefore, a solution of equimolecular proportions of rubidium _d_- and _l_-tartrates is allowed to evaporate at a temperature above °, a mixture of the two tartrates will be deposited; while at temperatures below ° the racemate will separate out. [illustration: fig. .] similar relationships are met with in the case of sodium ammonium _d_- and _l_-tartrate and sodium ammonium racemate; but in this case the racemate is the stable form in contact with solution above the transition point ( °).[ ] below the transition point, therefore, the solubility curve of the mixed tartrates will lie below the solubility curve of the racemate. below the transition point, therefore, sodium ammonium racemate will break up in contact with solution into a mixture of sodium ammonium _d_- and _l_-tartrates. at a higher temperature, °, sodium ammonium racemate undergoes decomposition into sodium racemate and ammonium racemate.[ ] the behaviour of sodium ammonium racemate is of interest from the fact that it was the first racemic substance to be resolved into its optically active forms by a process of crystallization. on neutralizing a solution of racemic tartaric acid, half with soda and half with ammonia, and allowing the solution to evaporate, pasteur[ ] obtained a mixture of sodium ammonium { } _d_- and _l_-tartrates. since pasteur was unaware of the existence of a transition point, the success of his experiment was due to the happy chance that he allowed the solution to evaporate at a temperature below °; for had he employed a temperature above this, separation of the racemate into the two enantiomorphous forms would not have occurred. for this reason the attempt of staedel to perform the same resolution met only with failure.[ ] decomposition of the double salt by water.--in the two cases just described, the solubility relationships at the transition point are of a simpler character than in the case of most double salts. if, at a temperature above the transition point, a mixture of rubidium _d_- and _l_-tartrates in equimolecular proportions is brought in contact with water a solution will be obtained, which is saturated with respect to both enantiomorphous forms; and since the solubility of the two optical antipodes is identical, and the effect of one on the solubility of the other also the same, the solution will contain equimolecular amounts of the _d_- and _l_-salt. if, now, the solution is cooled down in contact with the solid salts to just below the transition point, it becomes supersaturated with respect to the racemate, and this will be deposited. the solution thereby becomes unsaturated with respect to the mixture of the active salts, and these must therefore pass into solution. as the latter are equally soluble, equal amounts of each will dissolve, and a further quantity of the racemate will be deposited. these processes of solution and deposition will continue until the single tartrates have completely disappeared, and only racemate is left as solid phase. as a consequence of the identical solubility of the two tartrates, therefore, no excess of either form will be left on passing through the transition point. from this it will be evident that the racemate can exist as single solid phase in contact with its saturated solution at the transition point; or, in other words, the racemate is not decomposed by water at the transition point. the same behaviour will evidently be exhibited by sodium ammonium racemate at °, for the two enantiomorphous sodium ammonium tartrates have also identical solubility. { } very different, however, is the behaviour of, say, astracanite, or of the majority of double salts; for the solubility of the constituent salts is now no longer the same. if, for example, excess of a mixture of sodium sulphate and magnesium sulphate, in equimolecular proportions, is brought in contact with water below the transition point ( °), more magnesium sulphate than sodium sulphate will dissolve, the solubility of these two salts in a common solution being given by the following figures, which express number of molecules of the salt in molecules of water.[ ] composition of solutions saturated with respect to na_{ }so_{ }, h_{ }o and mgso_{ }, h_{ }o. ---------------------------------------- temperature. | na_{ }so_{ }. | mgso_{ }. ---------------------------------------- . ° | . | . . ° | . | . ---------------------------------------- at the transition point, then, it is evident that the solution contains more magnesium sulphate than sodium sulphate: and this must still be the case when astracanite, which contains sodium sulphate and magnesium sulphate in equimolecular proportions, separates out. if, therefore, the temperature is raised slightly above the transition point, magnesium sulphate and sodium sulphate will pass into solution, the former, however, in larger quantities than the latter, and astracanite will be deposited; and this will go on until all the magnesium sulphate has disappeared, and a mixture of astracanite and sodium sulphate decahydrate is left as solid phases. since there are now three phases present, the system is univariant (by reason of the restriction previously made that the vapour phase is absent), and at a given temperature the solution will have a definite composition; as given in the following table:-- composition of solutions saturated with respect to na_{ }mg(so_{ })_{ }, h_{ }o and na_{ }so_{ }, h_{ }o. ---------------------------------------- temperature. | na_{ }so_{ }. | mgso_{ }. ---------------------------------------- ° | . | . . ° | . | . ---------------------------------------- { } from the above figures, therefore, it will be seen that at a temperature just above the transition point a solution in contact with the two solid phases, astracanite and glauber's salt, contains a relatively smaller amount of sodium sulphate than a pure solution of astracanite would; for in this case there would be equal molecular amounts of na_{ }so_{ } and mgso_{ }. a solution which is saturated with respect to astracanite alone, will contain more sodium sulphate than the solution saturated with respect to astracanite plus glauber's salt, and the latter will therefore be deposited. from this, therefore, it is clear that if astracanite is brought in contact with water at about the transition point, it will undergo decomposition with separation of glauber's salt (supersaturation being excluded). [illustration: fig. .] this will perhaps be made clearer by considering fig. . in this diagram the ordinates represent the ratio of sodium sulphate to magnesium sulphate in the solutions, and the abscissæ represent the temperatures. the line ab represents solutions saturated with respect to a mixture of the single salts (p. ); bc refers to solutions in equilibrium with astracanite and magnesium sulphate; while bx represents the composition of solutions in contact with the solid phases astracanite and glauber's salt. the values of the solubility are contained in the following table, and in that on p. , and are, as before, expressed in gm.-molecules of salt in gm.-molecules of water.[ ] { } ------------------------------------------------------------------------- | astracanite | astracanite temperature. | + sodium sulphate. | + magnesium sulphate. |----------------------------|------------------------------ | na_{ }so_{ }. | mgso_{ }. | na_{ }so_{ }. | mgso_{ }. ------------------------------------------------------------------------- . ° | -- | -- | . | . ° | . | . | . | . . ° | . | . | . | . ° | . | . | . | . ° | . | . | . | . ------------------------------------------------------------------------- at the transition point the ratio of sodium sulphate to magnesium sulphate is approximately : . . in the case of solutions saturated with respect to both astracanite and glauber's salt, the relative amount of sodium sulphate increases as the temperature rises, while in the solutions saturated for astracanite and magnesium sulphate, the ratio of sodium sulphate to magnesium sulphate decreases. if, now, we consider only the temperatures above the transition point, we see from the figure that solutions represented by points above the line bx contain relatively more sodium sulphate than solutions in contact with astracanite and glauber's salt; and solutions lying below the line bc contain relatively more magnesium sulphate than solutions saturated with this salt and astracanite. these solutions will therefore not be stable, but will deposit in the one case, astracanite and glauber's salt, and in the other case, astracanite and magnesium sulphate, until a point on bx or bc is reached. all solutions, however, lying to the right of cbx, will be _unsaturated_ with respect to these two pairs of salts, and only the solutions represented by the line xy (and which contain equimolecular amounts of sodium and magnesium sulphates) will be saturated with respect to the pure double salt. transition interval.--fig. will also render intelligible a point of great importance in connection with astracanite, and of double salts generally. at temperatures between those represented by the points b and x, the double salt when brought in contact with water will be decomposed with separation of sodium sulphate. above the temperature of the point { } x, however, the solution of the pure double salt is stable, because it can still take up a little of either of the components. at temperatures, then, above that at which the solution in contact with the double salt and the less soluble single salt, contains the single salts in the ratio in which they are present in the double salt, solution of the latter will take place without decomposition. _the range of temperature between that at which double salt can begin to be formed (the transition point) and that at which it ceases to be decomposed by water is called the transition interval._[ ] if the two single salts have identical solubility at the transition point, the transition interval diminishes to nought. in those cases where the double salt is the stable form below the transition point, the transition interval will extend downwards to a lower temperature. fig. will then have the reverse form. summary.--with regard to double salts we have learned that their formation from and their decomposition into the single salts, is connected with a definite temperature, the _transition temperature_. at this transition temperature two vapour pressure curves cut, viz. a curve of dehydration of a mixture of the single salts and the solubility curve of the double salt; or the dehydration curve of the double salt and the solubility curve of the mixed single salts. the solubility curves, also, of these two systems intersect at the transition point, but although the formation of the double salt commences at the transition point, complete stability in contact with water may not be attained till some temperature above (or below) that point. _only when the temperature is beyond the transition interval, will a double salt dissolve in water without decomposition (_e.g._ the alums)._ * * * * * { } chapter xvi isothermal curves and the space model in the preceding chapter we considered the changes in the solubility of double salts and of mixtures of their constituent salts with the temperature; noting, more especially, the relationships between the two systems at the transition point. it is now proposed to conclude the study of the three-component systems by discussing very briefly the solubility relations at constant temperature, or the isothermal solubility curves. in this way fresh light will be thrown on the change in the solubility of one component by the addition of another component, and also on the conditions of formation and stable existence of double salts in solution. with the help of these isothermal curves, also, the phenomena of crystallization at constant temperature--phenomena which have not only a scientific interest but also an important bearing on the industrial preparation of double salts--will be more clearly understood.[ ] a brief description will also be given of the method of representing the variation of the concentration of the two salts in the solution with the temperature. non-formation of double salts.--in fig. are shown the solubility curves of two salts, a and b, which at the given temperature do not form a double salt.[ ] the ordinates represent the amount of a, the abscissæ the amount of b in a _constant amount_ of the third component, the solvent. the { } point a, therefore, represents the solubility of the salt a at the given temperature; and similarly, point b represents the solubility of b. since we are dealing with a three-component system, one solid phase in contact with solution will constitute a bivariant system (in the absence of the vapour phase and under a constant pressure). at any given temperature, therefore, the concentration of the solution in equilibrium with the solid can undergo change. if, now, to a pure solution of a a small quantity of b is added, the solubility of a will in general be altered; as a rule it is diminished, but sometimes it is increased.[ ] the curve ac represents the varying composition of the solution in equilibrium with the solid component a. similarly, the curve bc represents the composition of the solutions in contact with pure b as solid phase. at the point, c, where these two curves intersect, there are two solid phases, viz. pure a and pure b, in equilibrium with solution, and the system becomes invariant. at this point the solution is saturated with respect to both a and b, and at a given temperature must have a perfectly definite composition. to take an example, if we suppose a to represent sodium sulphate decahydrate, and b, magnesium sulphate heptahydrate, and the temperature to be . ° (_i.e._ below the transition point), the point c would represent a solution containing . gm.-molecules na_{ }so_{ } and . gm.-molecules mgso_{ } per gm.-molecules of water (p. ). the curve acb is the boundary curve for saturated solutions; solutions lying outside this curve are supersaturated, those lying within the area acbo, are unsaturated. [illustration: fig. .] [illustration: fig. .] [illustration: fig. .] formation of double salt.--we have already learned in the preceding chapter that if the temperature is outside[ ] the { } transition interval, it is possible to prepare a pure saturated solution of the double salt. if, now, we suppose the double salt to contain the two constituent salts in equimolecular proportions, its saturated solution must be represented by a point lying on the line which bisects the angle aob; _e.g._ point d, fig. . but a double salt constitutes only a single phase, and can exist, therefore, in contact with solutions of varying concentration, as represented by edf. let us compare, now, the relations between the solubility curve for the double salt, and those for the two constituent salts. we shall suppose that the double salt is formed from the single salts when the temperature is raised above a certain point (as in the formation of astracanite). at a temperature below the transition point, as we have already seen, the solubility of the double salt is greater than that of a mixture of the single salts. the curve edf, therefore, must lie above the point c, in the region representing solutions supersaturated with respect to the single salts (fig. ). such a solution, however, would be metastable, and on being brought in contact with the single salts would deposit these and yield a solution represented by the point c. at this particular temperature, therefore, the isothermal solubility curve will consist of only two branches. [illustration: fig. .] suppose, now, that the temperature is that of the transition point. at this point, the double salt can exist together with the single salts in contact with solution. the solubility curve { } of the double salt must, therefore, pass through the point c, as shown in fig. . from this figure, now, it is seen that a solution saturated with respect to double salt alone (point d), is supersaturated with respect to the component a. if, then, at the temperature of the transition point, excess of the double salt is brought in contact with water,[ ] and if supersaturation is excluded, _the double salt will undergo decomposition and the component a will be deposited_. the relative concentration of the component b in the solution will, therefore, increase, and the composition of the solution will be thereby altered in the direction dc. when the solution has the composition of c, the single salt ceases to be deposited, for at this point the solution is saturated for both double and single salt; and the system becomes invariant. this diagram explains very clearly the phenomenon of the decomposition of a double salt at the transition point. as is evident, this decomposition will occur when the solution which is saturated at the temperature of the transition point, with respect to the two single salts (point c), does not contain these salts in the same ratio in which they are present in the double salt. if point c lay on the dotted line bisecting the right angle, then the pure saturated solution of the double salt would not be supersaturated with respect to either of the single salts, and the double salt would, therefore, not be decomposed by water. as has already been mentioned, this behaviour is found in the case of optically active isomerides, the solubilities of which are identical. at the transition point, therefore, the isothermal curve also consists of two branches; but the point of intersection of the two branches now represents a solution which is saturated not { } only with respect to the single salts, but also for the double salt in presence of the single salts. we have just seen that by a change of temperature the two solubility curves, that for the two single salts and that for the double salt, were made to approach one another (_cf._ figs. and ). in the previous chapter, however, we found that on passing the transition point to the region of stability for the double salt, the solution which is saturated for a mixture of the two constituent salts, is supersaturated for the double salt. in this case, therefore, point c must lie above the solubility curve of the pure double salt (fig. ), and a solution of the composition c, if brought in contact with double salt, will deposit the latter. if the single salts were also present, then as the double salt separated out, the single salts would pass into solution, because so long as the two single salts are present, the composition of the solution must remain unaltered. if one of the single salts disappear before the other, there will be left double salt plus a or double salt plus b, according to which was in excess; and the composition of the solution will be either that represented by d (saturated for double salt plus a), or that of the point f (saturated for double salt plus b). [illustration: fig. .] in connection with the isothermal represented in fig. , it should be noted that at this particular temperature a solution saturated with respect to the pure double salt is no longer supersaturated for one of the single salts (point d); so that at the temperature of this isothermal the double salt is not decomposed by water. at this temperature, further, the boundary curve consists of three branches ad, df, and fb, which give the composition of the solutions in equilibrium with pure a, double salt, and pure b respectively; while the points d and f represent solutions saturated for double salt plus a and double salt plus b. on continuing to alter the temperature in the same direction { } as before, the relative shifting of the solubility curves becomes more marked, as shown in fig. . at the temperature of this isothermal, the solution saturated for the double salt now lies in a region of distinct unsaturation with respect to the single salts; and the double salt can now exist as solid phase in contact with solutions containing both relatively more of a (curve ed), and relatively more of b (curve df), than is contained in the double salt itself. [illustration: fig. .] transition interval.--from what has been said, and from an examination of the isothermal diagrams, figs. - , it will be seen that by a variation of the temperature we can pass from a condition where the double salt is quite incapable of existing in contact with solution (supersaturation being excluded), to a condition where the existence of the double salt in presence of solution becomes possible; only in the presence, however, of one of the single salts (_transition point_, fig. ). a further change of temperature leads to a condition where the stable existence of the pure double salt in contact with solution just becomes possible (fig. ); and from this point onwards, pure saturated solutions of the double salt can be obtained (fig. ). _at any temperature, therefore, between that represented by fig. , and that represented by fig. , the double salt undergoes partial decomposition, with deposition of one of the constituent salts._ the temperature range between the transition point and the temperature at which a stable saturated solution of the pure double salt just begins to be possible, is known as the _transition interval_ (p. ). as the figures show, the transition interval is limited on the one side by the transition temperature, and on the other by the temperature at which the solution saturated for double salt and the less soluble of the single salts, contains the component salts in the same ratio as they are present in the double salt. the greater the difference in the solubility of the single salts, the larger will be the transition interval. { } isothermal evaporation.--the isothermal solubility curves are of great importance for obtaining an insight into the behaviour of a solution when subjected to isothermal evaporation. to simplify the discussion of the relationships found here, we shall still suppose that the double salt contains the single salts in equimolecular proportions; and we shall, in the first instance, suppose that the unsaturated solution with which we commence, also contains the single salts in the same ratio. the composition of the solution must, therefore, be represented by some point lying on the line od, the bisectrix of the right angle. from what has been said, it is evident that when the formation of a double salt can occur, three temperature intervals can be distinguished, viz. the single-salt interval, the transition interval, and the double-salt interval.[ ] when the temperature lies in the first interval, evaporation leads first of all to the crystallization of one of the single salts, and then to the separation of both the single salts together. in the second temperature interval, evaporation again leads, in the first place, to the deposition of one of the single salts, and afterwards to the crystallization of the double salt. in the third temperature interval, only the double salt crystallizes out. this will become clearer from what follows. [illustration: fig. .] [illustration: fig. .] if an unsaturated solution of the two single salts in equimolecular proportion (_e.g._ point _x_, fig. ) is evaporated at a temperature at which the formation of double salt is impossible, the component a, the solubility curve of which is { } cut by the line od, will first separate out; the solution will thereby become richer in b. on continued evaporation, more a will be deposited, and the composition of the solution will change until it attains the composition represented by the point c, when both a and b will be deposited, and the composition of the solution will remain unchanged. the result of evaporation will therefore be a mixture of the two components. if the formation of double salt is possible, but if the temperature lies within the transition interval, the relations will be represented by a diagram like fig. . isothermal evaporation of the solution x will lead to the deposition of the component a, and the composition of the solution will alter in the direction de; at the latter point the double salt will be formed, and the composition of the solution will remain unchanged so long as the two solid phases are present. as can be seen from the diagram, however, the solution in e contains less of component a than is contained in the double salt. deposition of the double salt at e, therefore, would lead to a relative decrease in the concentration of a in the solution, and to counterbalance this, _the salt which separated out at the commencement must redissolve_. since the salts were originally present in equimolecular proportions, the final result of evaporation will be the pure double salt. if when the solution has reached the point e the salt a which had separated out is removed, double salt only will be left as solid phase. at a given temperature, however, a single solid phase can exist in equilibrium with solutions of different composition. if, therefore, isothermal evaporation is continued after the removal of the salt a, double salt will be deposited, and the composition of the solution will change in the direction ef. at the point f the salt b will separate out, and on evaporation both double salt and the salt b will be deposited. in the former case (when the salt a disappears on evaporation) we are dealing with an _incongruently saturated solution_; but in the latter case, where both solid phases continue to be deposited, the solution is said to be _congruently saturated_.[ ] a "congruently saturated solution" is one from which the { } solid phases are continuously deposited during isothermal evaporation to dryness, whereas in the case of "incongruently saturated solutions," at least one of the solid phases disappears during the process of evaporation. [illustration: fig. .] lastly, if the temperature lies outside the transition interval, isothermal evaporation of an unsaturated solution of the composition x (fig. ) will lead to the deposition of pure double salt from beginning to end. if a solution of the composition y is evaporated, the component a will first be deposited and the composition of the solution will alter in the direction of e, at which point double salt will separate out. since the solution at this point contains relatively more of a than is present in the double salt, both the double salt and the single salt a will be deposited on continued evaporation, in order that the composition of the solution shall remain unchanged. in the case of solution z, first component b and afterwards the double salt will be deposited. the result will, therefore, be a mixture of double salt and the salt b (congruently saturated solutions), it may be stated here that the same relationships as have been explained above for double salts are also found in the resolution of racemic compounds by means of optically active substances (third method of pasteur). in this case the single salts are doubly active substances (_e.g._ strychnine-_d_-tartrate and strychnine-_l_-tartrate), and the double salt is a partially racemic compound.[ ] crystallization of double salt from solutions containing excess of one component.--one more case of isothermal crystallization may be discussed. it is well known that a double salt which is decomposed by pure water can nevertheless be obtained pure by crystallization from a solution containing excess of one of the single salts (_e.g._ in the case of carnallite). since the double salt is partially decomposed by water, the temperature of the experiment must be within the transition { } interval, and the relations will, therefore, be represented by a diagram like fig. . if, now, instead of starting with an unsaturated solution containing the single salts in equimolecular proportions, we commence with one in which excess of one of the salts is present, as represented by the point y, isothermal evaporation will cause the composition to alter in the direction yd', the relative amounts of the single salts remaining the same throughout. when the composition of the solution reaches the point d', pure double salt will be deposited. the separation of double salt will, however, cause a relative decrease in the concentration of the salt a, and the composition of the solution will, therefore, alter in the direction d'f. if the evaporation is discontinued before the solution has attained the composition f, only double salt will have separated out. even within the transition interval, therefore, pure double salt can be obtained by crystallization, provided the original solution has a composition represented by a point lying between the two lines oe and of. since, as already shown, the composition of the solution alters on evaporation in the direction ef, it will be best to employ a solution having a composition near to the line oe. formation of mixed crystals.--if the two single salts a and b do not crystallize out pure from solution, but form an unbroken series of mixed crystals, it is evident that an invariant system cannot be produced. the solubility curve will therefore be continuous from a to b; the liquid solutions of varying composition being in equilibrium with solid solutions also of varying composition. if, however, the series of mixed crystals is not continuous, there will be a break in the solubility curve at which two solid solutions of different composition will be in equilibrium with liquid solution. this, of course, will constitute an invariant system, and the point will correspond to the point c in fig. . a full discussion of these systems would, however, lead us too far, and the above indication of the behaviour must suffice.[ ] { } application to the characterization of racemates.--the form of the isothermal solubility curves is also of great value for determining whether an inactive substance is a racemic compound or a conglomerate of equal proportions of the optical antipodes.[ ] as has already been pointed out, the formation of racemic compounds from the two enantiomorphous isomerides, is analogous to the formation of double salts. the isothermal solubility curves, also, have a similar form. in the case of the latter, indeed, the relationships are simplified by the fact that the two enantiomorphous forms have identical solubility, and the solubility curves are therefore symmetrical to the line bisecting the angle of the co-ordinates. further, with the exception of the partially racemic compounds to be mentioned later, there is no transition interval. in fig. , are given diagrammatically two isothermal solubility curves for optically active substances. from what has been said in the immediately preceding pages, the figure ought really to explain itself. the upper isothermal _acb_ represents the solubility relations when the formation of a racemic compound is excluded, as, _e.g._ in the case of rubidium _d_- and _l_-tartrates above the transition point (p. ). the solution at the point _c_ is, of course, inactive, and _is unaffected by addition of either the _d_- or _l_- form_. the lower isothermal, on the other hand, would be obtained at a temperature at which the racemic compound could be formed. the curve _a'e_ is the solubility curve for the _l_- form; _b'f_, that for the _d_- form; and _edf_, that for the racemic compound in presence of solutions of varying concentration. the point _d_ corresponds to saturation for the pure racemic compound. [illustration: fig. .] from these curves now, it will be evident that it will be possible, in any given case, to decide whether or not an inactive body is a mixture or a racemic compound. for this purpose, { } two solubility determinations are made, first with the inactive material alone (in excess), and then with the inactive material plus excess of one of the optically active forms. if we are dealing with a mixture, the two solutions thus obtained will be identical; both will have the composition corresponding to the point _c_, and will be inactive. if, however, the inactive material is a racemic compound, then two different solutions will be obtained; namely, an inactive solution corresponding to the point _d_ (fig. ), and an _active_ solution corresponding either to _e_ or to _f_, according to which enantiomorphous form was added. _partially racemic compounds._[ ] in this case we are no longer dealing with enantiomorphous forms, and the solubility of the two oppositely active isomerides is no longer the same. the symmetry of the solubility curves therefore disappears, and a figure is obtained which is identical in its general form with that found in the case of ordinary double salts (fig. ). in this case there is a transition interval. [illustration: fig. .] the curves _acb_ belong to a temperature at which the partially racemic compound cannot be formed; _a'dfb'_, to the temperature at which the compound just begins to be stable in contact with water, and _a"ed'f'b"_ belongs to a temperature at which the partially racemic compound is quite stable in contact with water. suppose now solubility determinations, made in the first case with the original material alone, and then with the original body plus each of the two compounds, formed from the enantiomorphous substances separately, then if the original body was a mixture, identical solutions will be obtained in all three cases (point _c_); if it was a partially racemic compound, three different solutions (_e_, _d'_, and _f'_) will be obtained if the temperature was outside the transition interval, and two solutions, _d_ and _f_, if the temperature belonged to the transition interval. { } _representation in space._ space model for carnallite.--interesting and important as the isothermal solubility curves are, they are insufficient for the purpose of obtaining a clear insight into the complete behaviour of the systems of two salts and water. a short description will, therefore, be given here of the representation in space of the solubility relations of potassium and magnesium chlorides, and of the double salt which they form, carnallite.[ ] [illustration: fig. .] fig. is a diagrammatic sketch of the model for carnallite looked at sideways from above. along the x-axis is measured the concentration of magnesium chloride in the { } solution; along the y-axis, the concentration of potassium chloride; while along the t-axis is measured the temperature. the three axes are at right angles to one another. the xt-plane, therefore, contains the solubility curve of magnesium chloride; the yt-plane, the solubility curve of potassium chloride, and in the space between the two planes, there are represented the composition of solutions containing both magnesium and potassium chlorides. any _surface_ between the two planes will represent the various solutions in equilibrium with only one solid phase, and will therefore indicate the area or field of existence of bivariant ternary systems. a _line_ or _curve_ formed by the intersection of two surfaces will represent solutions in equilibrium with two solid phases (viz. those belonging to the intersecting surfaces), and will show the conditions for the existence of univariant systems. lastly, _points_ formed by the intersection of three surfaces will represent invariant systems, in which a solution can exist in equilibrium with three solid phases (viz. those belonging to the three surfaces). we shall first consider the solubility relations of the single salts. the complete equilibrium curve for magnesium chloride and water is represented in fig. by the series of curves abf_{ } g_{ } h_{ } j_{ } l_{ } n_{ }. ab is the freezing-point curve of ice in contact with solutions containing magnesium chloride, and b is the cryohydric point at which the solid phases ice and mgcl_{ }, h_{ }o can co-exist with solution. bfg is the solubility curve of magnesium chloride dodecahydrate. this curve shows a point of maximum temperature at f_{ }, and a retroflex portion f_{ }g_{ }. the curve is therefore of the form exhibited by calcium chloride hexahydrate, or the hydrates of ferric chloride (chapter viii.). g_{ } is a transition point at which the solid phase changes from dodecahydrate to octahydrate, the solubility of which is represented by the curve g_{ }h_{ }. at h_{ } the octahydrate gives place to the hexahydrate, which is the solid phase in equilibrium with the solutions represented by the curve h_{ }j_{ }. j_{ } and l_{ } are also transition points at which the solid phase undergoes change, in the former case from hexahydrate to tetrahydrate; and in the latter case, { } from tetrahydrate to dihydrate. the complete curve of equilibrium for magnesium chloride and water is, therefore, somewhat complicated, and is a good example of the solubility curves obtained with salts capable of forming several hydrates. the solubility curve of potassium chloride is of the simplest form, consisting only of the two branches ac, the freezing-point curve of ice, and co, the solubility curve of the salt. c is the cryohydric point. this point and the two curves lie in the yt-plane. on passing to the ternary systems, the composition of the solutions must be represented by points or curves situated _between_ the two planes. we shall now turn to the consideration of these. bd and cd are ternary eutectic curves (p. ). they give the composition of solutions in equilibrium with ice and magnesium chloride dodecahydrate (bd), and with ice and potassium chloride (cd). d is a _ternary cryohydric point_. if the temperature is raised and the ice allowed to disappear, we shall pass to the solubility curve for mgcl_{ }, h_{ }o + kcl (curve de). at e carnallite is formed and the potassium chloride disappears; efg is then the solubility curve for mgcl_{ }, h_{ }o + carnallite (kmgcl_{ }, h_{ }o). this curve also shows a point of maximum temperature (f) and a retroflex portion. gh and hj represent the solubility curves of carnallite + mgcl_{ }, h_{ }o and carnallite + mgcl_{ }, h_{ }o, g and h being transition points. jk is the solubility curve for carnallite + mgcl_{ }, h_{ }o. at the point k we have the _highest temperature at which carnallite can exist with magnesium chloride in contact with solution_. above this temperature decomposition takes place and potassium chloride separates out. if at the point e, at which the two single salts and the double salt are present, excess of potassium chloride is added, the magnesium chloride will all disappear owing to the formation of carnallite, and there will be left carnallite and potassium chloride. the solubility curve for a mixture of these two salts is represented by emk; a simple curve exhibiting, however, a temperature maximum at m. this maximum point corresponds with the fact that dry carnallite melts at this temperature with separation of potassium chloride. _at all temperatures { } above this point, the formation of double salt is impossible_. the retroflex portion of the curve represents solutions in equilibrium with carnallite and potassium chloride, but in which the ratio mgcl_{ } : kcl is greater than in the double salt. throughout its whole course, _the curve emk represents solutions in which the ratio of mgcl_{ } : kcl is greater than in the double salt_. as this is a point of some importance, it will be well, perhaps, to make it clearer by giving one of the isothermal curves, _e.g._ the curve for °, which is represented diagrammatically in fig. . e and f here represent solutions saturated for carnallite plus magnesium chloride hydrate, and for carnallite plus potassium chloride. as is evident, the point f lies above the line representing equimolecular proportions of the salts (od). [illustration: fig. .] summary and numerical data.--we may now sum up the different systems which can be formed, and give the numerical data from which the model is constructed.[ ] i. _bivariant systems._ -------------------------------------- solid phase. | area of existence. -------------------------------------- ice | abdc kcl | cdemklno carnallite | efghjkm mgcl_{ }, h_{ }o | bf_{ }g_{ }gfed mgcl_{ }, h_{ }o | g_{ }h_{ }hg mgcl_{ }, h_{ }o | h_{ }i_{ }ih mgcl_{ }, h_{ }o | i_{ }l_{ }lki mgcl_{ }, h_{ }o | l_{ }n_{ }nl -------------------------------------- ii. _univariant systems._--the different univariant systems have already been described. the course of the curves will be sufficiently indicated if the temperature and composition of the solutions for the different invariant systems are given. { } iii.--_invariant systems--binary and ternary._ ------------------------------------------------------------------------- | | | composition of solution. point. | solid phases. | temper- | gram-molecules of salt | | ature. | per gram-mol. water. ------------------------------------------------------------------------- a | ice | ° | -- | | | b | ice; mgcl_{ }, h_{ }o | - . ° | . mgcl_{ } | | | c | ice; kcl | - . ° | . kcl | | | d |{ ice; mgcl_{ }, h_{ }o; }| - . ° | mgcl_{ }; kcl |{ kcl }| | | | | e |{ mgcl_{ }, h_{ }o; kcl; }| - ° | . mgcl_{ }; . kcl |{ carnallite }| | | | | f_{ } | mgcl_{ }, h_{ }o | - . ° | . mgcl_{ } | | | f |{ mgcl_{ }, h_{ }o; }| - . ° |{ almost same as f_{ }; |{ carnallite }| |{ contains small amount | | |{ of kcl | | | g_{ } |{ mgcl_{ }, h_{ }o; }| - . ° | . mgcl_{ } |{ mgcl_{ }, h_{ }o }| | | | | g |{ mgcl_{ }, h_{ }o; }| - . ° |{ almost same as g_{ }, |{ mgcl_{ }, h_{ }o; }| |{ but contains small |{ carnallite }| |{ quantity of kcl | | | h_{ } |{ mgcl_{ }, h_{ }o; }| - . ° | mgcl_{ } |{ mgcl_{ }, h_{ }o }| | | | | h |{ mgcl_{ }, h_{ }o; }|ca. - . ° |{ almost same as h_{ }, |{ mgcl_{ }, h_{ }o; }| |{ but contains small |{ carnallite }| |{ amount of kcl | | | j_{ } |{ mgcl_{ }, h_{ }o; }| . ° | . mgcl_{ } |{ mgcl_{ }, h_{ }o }| | | | | j |{ mgcl_{ }, h_{ }o; }| . ° | mgcl_{ }; kcl |{ mgcl_{ }, h_{ }o; }| | |{ carnallite }| | | | | k |{ mgcl_{ }, h_{ }o; kcl; }| . ° | mgcl_{ }; kcl |{ carnallite }| | | | | l_{ } |{ mgcl_{ }, h_{ }o; }| ° | . mgcl_{ } |{ mgcl_{ }, h_{ }o }| | | | | l |{ mgcl_{ }, h_{ }o; }| ° | mgcl_{ }; kcl |{ mgcl_{ }, h_{ }o; kcl }| | | | | m | carnallite; kcl | . ° | . mgcl_{ }; . kcl | | | [n_{ } | mgcl_{ }, h_{ }o | ° | ca. mgcl_{ }] | | | n | mgcl_{ }, h_{ }o; kcl | ° | mgcl_{ }; kcl | | | [o | kcl | ° | . kcl] ------------------------------------------------------------------------- with the help of the data in the preceding table and of the solid model it will be possible to state in any given case what will be the behaviour of a system composed of magnesium chloride, potassium chloride and water. one or two different cases will be very briefly described; and the reader should have no difficulty in working out the behaviour under other conditions with the help of the model and the numerical data just given. { } in the first place it may be again noted that at a temperature above . ° (point m) carnallite cannot exist. if, therefore, a solution of magnesium and potassium chlorides is evaporated at a temperature above this point, the result will be a mixture of potassium chloride and either magnesium chloride tetrahydrate or magnesium chloride dihydrate, according as the temperature is below or above °. the isothermal curve here consists of only two branches. further, reference has already been made to the fact that all points of the carnallite area correspond to solutions in equilibrium with carnallite, but in which the ratio of mgcl_{ } to kcl is greater than in the double salt. a solution which is saturated with respect to double salt alone will be supersaturated with respect to potassium chloride. at all temperatures, therefore, carnallite is decomposed by water with separation of potassium chloride; hence all solutions obtained by adding excess of carnallite to water will lie on the curve em. _a pure saturated solution of carnallite cannot be obtained._ if an unsaturated solution of the two salts in equimolecular amounts is evaporated, potassium chloride will first be deposited, because the plane bisecting the right angle formed by the x and y axes cuts the area for that salt. deposition of potassium chloride will lead to a relative increase in the concentration of magnesium chloride in the solution; and on continued evaporation a point (on the curve em) will be reached at which carnallite will separate out. so long as the two solid phases are present, the composition of the solution must remain unchanged. since the separation of carnallite causes a decrease in the relative concentration of the potassium chloride in the solution, the portion of this salt which was deposited at the commencement must _redissolve_, and carnallite will be left on evaporating to dryness. (_incongruently saturated solution._) although carnallite is decomposed by pure water, it will be possible to crystallize it from a solution having a composition represented by any point in the carnallite area. since during the separation of the double salt the relative amount of magnesium chloride increases, it is most advantageous to { } commence with a solution the composition of which is represented by a point lying just above the curve em (cf. p. ). from the above description of the behaviour of carnallite in solution, the processes usually employed for obtaining potassium chloride will be readily intelligible.[ ] ferric chloride--hydrogen chloride--water.--in the case of another system of three components which we shall now describe, the relationships are considerably more complicated than in those already discussed. they deserve discussion, however, on account of the fact that they exhibit a number of new phenomena. in the system formed by the three components, ferric chloride, hydrogen chloride, and water, not only can various compounds of ferric chloride and water (p. ), and of hydrogen chloride and water be formed, each of which possesses a definite melting point, but various ternary compounds are also known. thus we have the following solid phases:-- fecl_{ }, h_{ }o hcl, h_{ }o fecl_{ }, hcl, h_{ }o fecl_{ }, h_{ }o hcl, h_{ }o fecl_{ }, hcl, h_{ }o fecl_{ }, h_{ }o hcl,h_{ }o fecl_{ }, hcl, h_{ }o fecl_{ }, h_{ }o fecl_{ } from this it will be readily understood that the complete study of the conditions of temperature and concentration under which solutions can exist, either with one solid phase or with two or three solid phases, are exceedingly complicated; and, as a matter of fact, only a few of the possible equilibria have been investigated. we shall attempt here only a brief description of the most important of these.[ ] if we again employ rectangular co-ordinates for the graphic { } representation of the results, we have the two planes xot and yot (fig. ): the concentration of ferric chloride being measured along the x-axis, the concentration of hydrogen chloride along the y-axis, and the temperature along the t-axis. the curve abcdefghjk is, therefore, the solubility curve of ferric chloride in water (p. ), and the curve a'b'c'd'e'f' the solubility curve of hydrogen chloride and its hydrates. b' and d' are the melting points of the hydrates hcl, h_{ }o and hcl, h_{ }o. in the space between these two planes are represented those systems in which all three components are present. as already stated, only a few of the possible ternary systems have been investigated, and these are represented in fig. . the figure shows the model resting on the xot-plane, so that the lower edge represents the solubility curve of ferric chloride, the concentration increasing from right to left. the concentration of hydrogen chloride is measured upwards, and the temperature forwards. the further end of the model represents the isothermal surface for - °. the surface of the model on the left does not correspond with the plane yot in fig. , but with a parallel plane which cuts the concentration axis for ferric chloride at a point representing gm.-molecules fecl_{ } in gm.-molecules of water. the upper surface corresponds with a plane parallel to the axis xot, at a distance corresponding with the concentration of gm.-molecules hcl in gm.-molecules of water. [illustration: fig. .] ternary systems.--we pass over the binary system fecl_{ }--h_{ }o, which has already been discussed (p. ), and the similar system hcl--h_{ }o (see fig. ), and turn to the discussion of some of the ternary systems represented by { } points on the surface of the model between the planes xot and yot. as in the case of carnallite, a plane represents the conditions of concentration of solution and temperature under which a ternary solution can be in equilibrium with a _single_ solid phase (bivariant systems), a line represents the conditions for the coexistence of a solution with two solid phases (univariant systems), and a point the conditions for equilibrium with three solid phases (invariant systems). [illustration: fig. .] in the case of a binary system, in which fecl_{ }, h_{ }o is in equilibrium with a solution of the same composition, addition of hydrogen chloride must evidently lower the temperature at which equilibrium can exist; and the same holds, of course, { } for all other binary solutions in equilibrium with this solid phase. in this way we obtain the surface i., which represents the temperatures and concentrations of solutions in which fecl_{ }, h_{ }o can be in equilibrium with a ternary solution containing ferric chloride, hydrogen chloride, and water. this surface is analogous to the curved surface k_{ }k_{ }_k__{ }_k__{ } in fig. (p. ). similarly, the surfaces ii., iii., iv., and v. represent the conditions for equilibrium between the solid phases fecl_{ }, h_{ }o; fecl_{ }, h_{ }o; fecl_{ }, h_{ }o; fecl_{ } and ternary solutions respectively. the lines cl, em, gn, and io on the model represent univariant systems in which a ternary solution is in equilibrium with two solid phases, viz. with those represented by the adjoining fields. these lines correspond with the ternary eutectic curves _k__{ }k_{ } and _k__{ }k_{ } in fig. . besides the surfaces already mentioned, there are still three others, vi., vii., and viii., which also represent the conditions for equilibrium between one solid phase and a ternary solution; but in these cases, the solid phase is not a binary compound or an anhydrous salt, but a ternary compound containing all three components. the solid phases which are in equilibrium with the ternary solutions represented by the surfaces vi., vii., and viii., are fecl_{ }, hcl, h_{ }o; fecl_{ }, hcl, h_{ }o; and fecl_{ }, hcl, h_{ }o respectively. the model for fecl_{ }--hcl--h_{ }o exhibits certain other peculiarities not found in the case of mgcl_{ }--kcl--h_{ }o. on examining the model more closely, it is found that the field of the ternary compound fecl_{ }, hcl, h_{ }o (vii.) resembles the surface of a sugar cone, and has a projecting point, the end of which corresponds with a higher temperature than does any other point of the surface. at the point of maximum temperature the composition of the liquid phase is the same as that of the solid. this point, therefore, represents the melting point of the double salt of the above composition. the curves representing univariant systems are of two kinds. in the one case, the two solid phases present are both binary compounds; or one is a binary compound and the other is one of the components. in the other case, either one or both solid phases are ternary compounds. curves belonging { } to the former class (so-called _border curves_) start from binary eutectic points, and their course is always towards lower temperatures, _e.g._ cl, em, gn, io. curves belonging to the latter class (so-called _medial curves_) would, in a triangular diagram, lie entirely within the triangle. such curves are yv, wv, vl, lm, mv, ns, st, so, oz. these curves do not always run from higher to lower temperatures, but may even exhibit a point of maximum temperature. such maxima are found, for example, at u (fig. ), and also on the curves st and lv. finally, whereas all the other ternary univariant curves run in valleys between the adjoining surfaces, we find at the point x a similar appearance to that found in the case of carnallite, as the univariant curve here rises above the surrounding surface. the point x, therefore, does not correspond with a eutectic point, but with a transition point. at this point the ternary compound fecl_{ }, hcl, h_{ }o melts with separation of fecl_{ }, h_{ }o, just as carnallite melts at ° with separation of potassium chloride. the isothermal curves.--a deeper insight into the behaviour of the system fecl_{ }--hcl--h_{ }o is obtained from a study of the isothermal curves, the complete series of which, so far as they have been studied, is given in fig. .[ ] in this figure the lightly drawn curves represent isothermal solubility curves, the particular temperature being printed beside the curve.[ ] the dark lines give the composition of the univariant systems at different temperatures. the point of intersection of a dark with a light curve gives the composition of the univariant solution at the temperature represented by the light curve; and the point of intersection of two dark lines gives the composition of the invariant solution in equilibrium with three solid phases. the dotted lines represent metastable systems, and the points p, q, and r represent solutions of { } the composition of the ternary salts, fecl_{ }, hcl, h_{ }o; fecl_{ }, hcl, h_{ }o; and fecl_{ }, hcl, h_{ }o. [illustration: fig. .] the farther end of the model (fig. ) corresponds, as already mentioned, to the temperature - °, so that the outline evidently represents the isothermal curve for that temperature. fig. does not show this. we can, however, follow the isothermal for - °, which is the extreme curve on the right in fig. . point a represents the solubility of fecl_{ }, h_{ }o in water. if hydrogen chloride is added, the concentration of ferric chloride in the solution first decreases and then increases, until at point the ternary double salt fecl_{ }, hcl, h_{ }o is formed. if the addition of hydrogen chloride is continued, the ferric chloride disappears ultimately, and only the ternary double salt remains. this salt can coexist with solutions of the composition represented by the curve which passes through the points , , . at the last-mentioned point, the ternary salt with h_{ }o is formed. the composition of the solutions with which this salt is in equilibrium at - ° is represented by the curve which passes through a point of maximal concentration with respect to hcl, and cuts the curve sn at the point , at which the solution is in equilibrium with the two solid phases fecl_{ }, h_{ }o and fecl_{ }, hcl, h_{ }o. the succeeding portion of the isotherm represents the solubility curve at - ° of fecl_{ }, h_{ }o, which cuts the dark line os at point , at which the solution is in equilibrium with the two solid phases fecl_{ }, h_{ }o and fecl_{ }, hcl, h_{ }o. thereafter comes the solubility curve of the latter compound. the other isothermal curves can be followed in a similar manner. if the temperature is raised, the region of existence of the ternary double salts becomes smaller and smaller, and at temperatures above ° the ternary salts with h_{ }o and h_{ }o are no longer capable of existing. if the temperature is raised above °, only the binary compounds of ferric chloride and water and the anhydrous salt can exist as solid phases. the isothermal curve for ° represents the solubility curve for fecl_{ }, h_{ }o; fecl_{ }, h_{ }o; fecl_{ }, h_{ }o; and fecl_{ }, h_{ }o. { } finally, in the case of the system fecl_{ }--hcl--h_{ }o, we find _closed_ isothermal curves. since, as already stated, the salt fecl_{ }, hcl, h_{ }o has a definite melting point, the temperature of which is therefore higher than that at which this compound is in equilibrium with solutions of other composition, it follows that the line of intersection of an isothermal plane corresponding with a temperature immediately below the melting point of the salt with the cone-shaped surface of its region of existence, will form a closed curve. this is shown by the isotherm for - . °, which surrounds the point q, the melting point of the ternary salt. the following table gives some of the numerical data from which the curves and the model have been constructed:-- ------------------------------------------------------------------------- | | | composition of the sol- | | | ution in gm.-mols. salt point. | solid phases. | temper- | to gm.-mols. water. | | ature. |------------------------ | | | hcl | fecl_{ } ------------------------------------------------------------------------- a | fecl_{ }, h_{ }o | - ° | -- | . | | | | c |{ fecl_{ }, h_{ }o; }| . ° | -- | . |{ fecl_{ }, h_{ }o }| | | | | | | e |{ fecl_{ }, h_{ }o; }| ° | -- | . |{ fecl_{ }, h_{ }o }| | | | | | | g |{ fecl_{ }, h_{ }o; }| ° | -- | . |{ fecl_{ }, h_{ }o }| | | | | | | j | fecl_{ }, h_{ }o; fecl_{ } | ° | -- | . | | | | |{ fecl_{ }, h_{ }o; }| | | l |{ fecl_{ }, h_{ }o; }| - . ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | |{ fecl_{ }, h_{ }o; }| | | m |{ fecl_{ }, h_{ }o; }| - . ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | |{ fecl_{ }, h_{ }o; }| | | n |{ fecl_{ }, h_{ }o; }| - ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | |{ fecl_{ }, h_{ }o; }| | | s |{ fecl_{ }, hcl, h_{ }o; }| - . ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | |{ fecl_{ }, h_{ }o; }| | | o |{ fecl_{ }; }| ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | u |{ fecl_{ }, h_{ }o; }| - . ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | |{ fecl_{ }, h_{ }o; }| | | v |{ fecl_{ }, hcl, h_{ }o; }| - ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | x |{ fecl_{ }, h_{ }o; }| - . ° | . | . |{ fecl_{ }, hcl, h_{ }o }| | | | | | | q | fecl_{ }, hcl, h_{ }o | - ° (melting point) ------------------------------------------------------------------------- basic salts.--another class of systems in the study of { } which the phase rule has performed exceptional service, is that of the basic salts. in many cases it is impossible, by the ordinary methods of analysis, to decide whether one is dealing with a definite chemical individual or with a mixture. the question whether a solid phase is a chemical individual can, however, be answered, in most cases, with the help of the principles which we have already learnt. let us consider, for example, the formation of basic salts from bismuth nitrate, and water. in this case we can choose as components bi_{ }o_{ }, n_{ }o_{ }, and h_{ }o; since all the systems consist of these in varying amounts. if we are dealing with a condition of equilibrium at constant temperature between liquid and solid phases, three cases can be distinguished,[ ] viz.-- . the solutions in different experiments have the same composition, but the composition of the precipitate alters. in this case there must be two solid phases. . the solutions in different experiments can have varying composition, while the composition of the precipitate remains unchanged. in this case only one solid phase exists, a definite compound. . the composition both of the solution and of the precipitate varies. in this case the solid phase is a solid solution or a mixed crystal. in order, therefore, to decide what is the nature of a precipitate produced by the hydrolysis of a normal salt, it is only necessary to ascertain whether and how the composition of the precipitate alters with alteration in the composition of the solution. if the composition of the solution is represented by abscissæ, and the composition of the precipitate by ordinates, the form of the curves obtained would enable us to answer our question; for vertical lines would indicate the presence of two solid phases ( st case), horizontal lines the presence of only one solid phase ( nd case), and slanting lines the presence of mixed crystals ( rd case). this method of representation cannot, however, be carried out in most cases. it is, however, { } generally possible to find one pair or several pairs of components, the _relative amounts_ of which in the solution or in the precipitate undergo change when, and only when, the composition of the solution or of the precipitate changes. thus, in the case of bismuth, nitrate, and water, we can represent the ratio of bi_{ }o_{ } : n_{ }o_{ } in the precipitate as ordinates, and n_{ }o_{ } : h_{ }o in the solution as abscissæ. a horizontal line then indicates a single solid phase, and a vertical line two solid phases. an example of this is given in fig. .[ ] [illustration: fig. .] bi_{ }o_{ }--n_{ }o_{ }--h_{ }o.--although various systems have been studied in which there is formation of basic salts,[ ] we shall content ourselves here with the description of some of the conditions for the formation of basic salts of bismuth nitrate, and for their equilibrium in contact with solutions.[ ] three normal salts of bismuth oxide and nitric acid are known, viz. bi_{ }o_{ }, n_{ }o_{ }, h_{ }o(s_{ }); bi_{ }o_{ }, n_{ }o_{ }, h_{ }o(s_{ }); and bi_{ }o_{ }, n_{ }o_{ }, h_{ }o(s_{ }). besides these normal salts, there are the following basic salts:-- { } bi_{ }o_{ },n_{ }o_{ }, h_{ }o (represented by b_{ - - }) bi_{ }o_{ },n_{ }o_{ },h_{ }o ( " " b_{ - - }) bi_{ }o_{ }, n_{ }o_{ }, h_{ }o ( " " b_{ - - }) bi_{ }o_{ },n_{ }o_{ },h_{ }o ( " " b_{ - - }) probably some others also exist. the problem now is to find the conditions under which these different normal and basic salts can be in equilibrium with solutions of varying concentration of the three components. having determined the equilibrium conditions for the different salts, it is then possible to construct a model similar to that for mgcl_{ }--kcl--h_{ }o or for fecl_{ }--hcl--h_{ }o, from which it will be possible to determine the limits of stability of the different salts, and to predict what will occur when we bring the salts in contact with solutions of nitric acid of different concentrations and at different temperatures. for our present purpose it is sufficient to pick out only some of the equilibria which have been studied, and which are represented in the model (fig. ). in this case use has been made of the triangular method of representation, so that the surface of the model lies within the prism. [illustration: fig. .] this model shows the three surfaces, a, b, and c, which represent the conditions for the stable existence of the salts b_{ - - }, s_{ }, and s_{ } in contact with solution at different { } temperatures. the front surface of the model represents the temperature °, and the farther end the temperature . °. the dotted curve represents the isotherm for °. the prominences between the surfaces represent, of course, solutions which are saturated in respect of two solid phases. thus, for example, _pabc_ represents solutions in equilibrium with b_{ - - } and s_{ }; and the ridge _qdc_, solutions in equilibrium with s_{ } and s_{ }. the point _b_, which lies at . °, is the point of maximum temperature for s_{ }. if the temperature is raised above this point, s_{ } decomposes into the basic salt b_{ - - } and solution. this point is therefore analogous to the point m in the carnallite model, at which this salt decomposes into potassium chloride and solution (p. ); or to the point at which the salt fecl_{ }, hcl, h_{ }o decomposes into fecl_{ }, h_{ }o and solution (p. ). the curve _pab_ has been followed to the temperature of ° (point _c_). the end of the model is incomplete, but it is probable that in the neighbourhood of the point _c_ there exists a quintuple point at which the basic salt b_{ - - } appears. in the neighbourhood of _e_ also there probably exists another quintuple point at which s_{ } is formed. these systems have, however, not been studied. the following tables give some of the numerical data:-- isotherm for °. ---------------------------------------------------------------------- | composition of the solution. gram-mols. | in gm.-mols. of water. solid phase. |---------------------------------------- | bi_{ }o_{ } | n_{ }o_{ } -----------------------------|-----------------|---------------------- b_{ - - } | . | . -- | . | . b_{ - - }; s_{ } | . | . s_{ } | . | . -- | . | . -- | . | . -- | . | . s_{ }; s_{ } | . | . s_{ } | . | . -- | . | . ---------------------------------------------------------------------- systems in equilibrium with b_{ - - } and s_{ } (curve _pabc_). ------------------------------------------------------------ | composition of the solution. gram-mols. | in gm.-mols. of water. temperature. |---------------------------------------- | bi_{ }o_{ } | n_{ }o_{ } -------------------|---------------|------------------------ ° | . | . ° (point _a_) | . | . ° | . | . ° | . | . ° | . | . . ° (point _b_) | . | . ° (point _c_) | . | . ------------------------------------------------------------ systems in equilibrium with s_{ } and s_{ } (curve _qde_). -------------------------------------------------------- | composition of the solution. gram-mols. | in gm.-mols. of water. temperature. |----------------------------------------- | bi_{ }o_{ } | n_{ }o_{ } --------------|---------------|------------------------- . ° | . | ° | . | . ° | . | . ° | . | . -------------------------------------------------------- basic mercury salts.--the phase rule has also been applied by a. j. cox[ ] in an investigation of the basic salts of mercury, the result of which has been to show that, of the salts mentioned in text-books, quite a number are incorrectly stated to be chemical compounds or chemical individuals (p. ). the investigation, which was carried out essentially in the manner described above, included the salts mentioned in the following table; and of the basic salts said to be derived from them, only those mentioned really exist. in the following table, the numbers in the second column give the minimum values of the concentration of the acid, expressed in equivalent normality, necessary for the existence of the { } corresponding salts in contact with solution at the temperature given in the third column:-- ------------------------------------------------------------- salt. | normality of | temperature. | acid. | ------------------------------------------------------------- hgcro_{ } | . | ° hgo.cro_{ } | . Ã� ^{- } | ° | | hg(no_{ })_{ }.h_{ }o | . | ° hgo.n_{ }o_{ } | . | ° | | hgso_{ } | . | ° hgo.so_{ } | . Ã� ^{- } | ° | | hgf_{ } | . | ° | | hgno_{ }.h_{ }o | . | ° hg_{ }o. n_{ }o_{ }. h_{ }o | ca. . | ° hg_{ }o.n_{ }o_{ }(?) | . | ° hg_{ }o.n_{ }o_{ }. h_{ }o(?) | . Ã� ^{- } | ° | | hg_{ }so_{ } | . Ã� ^{- } | ° hg_{ }o.so_{ }.h_{ }o | . Ã� ^{- } | ° ------------------------------------------------------------- mercuric fluoride does not form any basic salt. since two succeeding members of a series can coexist only in contact with a solution of definite concentration, we can prepare acid solutions of definite concentration by bringing an excess of two such salts in contact with water. indirect determination of the composition of the solid phase.--it has already been shown (p. ) how the composition of the solid phase in a system of two components can be determined without analysis, and we shall now describe how this can be done in a system of three components.[ ] we shall assume that we are dealing with the aqueous solution of two salts which can give rise to a double salt, in which case we can represent the solubility relations in a system of rectangular co-ordinates. in this case we should obtain, as before (fig. ), the isotherm _adcb_, if we express the { } composition of the solution in gram-molecules of a or of b to gram-molecules of water. [illustration: fig. .] let us suppose, now, that the double salt is in equilibrium with the solution at a definite temperature, and that the composition of the solution is represented by the point e. the greater part of the solution is now separated from the solid phase, and the latter, _together with the adhering mother liquor_, is analyzed. the composition (expressed, as before, in gram-molecules of a and b to gram molecules of water) will be represented by a point (_e.g._ _f_) on the line _e_s, where s represents the composition of the double salt. that this is so will be evident when one considers that the composition of the whole mass must lie between the composition of the solution and that of the double salt, no matter what the relative amounts of the solid phase and the mother liquor. if, in a similar manner, we analyze a solution of a different composition in equilibrium with the same double salt (not necessarily at the same temperature as before), and also the mixture of solid phase and solution, we shall obtain two other points, as, for example, _g_ and _h_, and the line joining these must likewise pass through s. the method of finding the { } composition of an unknown double salt consists, therefore, in finding, in the manner just described, the position of two lines such as _ef_ and _gh_. the point of intersection of these lines then gives the composition of the double salt. if the double salt is anhydrous, the point s lies at infinity, and the lines _ef_ and _gh_ are parallel to each other. the same result is arrived at by means of the triangular method of representation.[ ] if we start with the three components in known amounts, and represent the initial composition of the whole by a point in the triangle, and then ascertain the final composition of the solution in equilibrium with the solid phase at a definite temperature, the line joining the points representing the initial and end concentration passes through the point representing the composition of the solid phase. if two determinations are made with solutions having different initial and final concentrations in equilibrium with the same solid phase, then the point of intersection of the two lines so obtained gives the composition of the solid phase. * * * * * { } chapter xvii absence of a liquid phase in the preceding chapters dealing with equilibria in three-component systems, our attention was directed only to those cases in which liquid solutions formed one or more phases. mention must, however, be made of certain systems which contain no liquid phase, and in which only solids and gases are in equilibrium. since, in all cases, there can be but one gas phase, four solid phases will be necessary in order to form an invariant system. when only three solid phases are present, the system is univariant; and when only two solid phases coexist with gas, it is bivariant. if, however, we make the restriction that the gas pressure is constant, we diminish the variability by one. on account of their great industrial importance, we shall describe briefly some of the systems belonging to this class. iron, carbon monoxide, carbon dioxide.--some of the most important systems of three components in which equilibrium exists between solid and gas phases are those formed by the three components--iron, carbon monoxide, and carbon dioxide--and they are of importance especially for the study of the processes occurring in the blast furnace. if carbon monoxide is passed over reduced iron powder at a temperature of about °, the iron is oxidized and the carbon monoxide reduced with separation of carbon in accordance with the equation fe + co = feo + c this reaction is succeeded by the two reactions feo + co = fe + co_{ } co_{ } + c = co { } [illustration: fig. .] the former of these reactions is not complete, but leads to a definite equilibrium. the result of the different reactions is therefore an equilibrium between the three solid phases, carbon, iron, and ferrous oxide, and the gas phase consisting of carbon monoxide and dioxide. we have here four phases; and if the total pressure is maintained constant, equilibrium can occur only at a definite temperature. since, under certain conditions, we can also have the reaction fe_{ }o_{ } + co = feo + co_{ } { } a second series of equilibria can be obtained of a character similar to the former. these various equilibria have been investigated by baur and glaessner,[ ] and the following is a short account of the results of their work. mixtures of the solid phases in equilibrium with carbon monoxide and dioxide were heated in a porcelain tube at a definite temperature until equilibrium was produced, and the gas was then pumped off and analyzed. the results which were obtained are given in the following tables, and represented graphically in fig. . solid phases: fe_{ }o_{ }; feo. ----------------------------------------------------------------- | | duration of | | percentage of no. | tube filled | the experiment | temperature. | | with | in hours. | | co_{ } | co ----------------------------------------------------------------- | co | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . | co | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . | co | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . | co | | ° | . | . | co | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . | co_{ } | | ° | . | . | co_{ } | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . | co_{ } | | ° | . | . | co_{ } | | ° | . | . | co | | ° | . | . | co_{ } | | ° | . | . ----------------------------------------------------------------- { } solid phases: feo; fe. ------+-------------+-------------+--------------+--------------- | | duration of | | percentage of no. | tube filled | experiment | temperature. | | with | in hours. | | co_{ } | co ------+-------------+-------------+--------------+--------+------ i. | co | | ° | . | . ii. | co | | ° | . | . iii. | co | | ° | . | . iv. | co_{ } | | ° | . | . v. | co | | ° | . | . vi. | co_{ } | | ° | . | . vii. | co_{ } | | ° | . | . viii. | co | | ° | . | . ix. | co_{ } | | ° | . | . x. | co | | ° | . | . xi. | co_{ } | | ° | . | . ------+-------------+-------------+--------------+--------+------ as is evident from the above tables and from the curves in fig. , the curve of equilibrium in the case of the reaction fe_{ }o_{ } + co = feo + co_{ } exhibits a maximum for the ratio co : co_{ }, at °, while, for the reaction feo + co = fe + co_{ } this ratio has a minimum value at °. from these curves can be derived the conditions under which the different solid phases can exist in contact with gas. thus, for example, at a temperature of °, feo and fe_{ }o_{ } can coexist with a mixture of . per cent. of co_{ } and . per cent. of co. if the partial pressure of co_{ } is increased, there occurs the reaction feo + co_{ } = fe_{ }o_{ } + co and if carbon dioxide is added in sufficient amount, the ferrous oxide finally disappears completely. if, on the other hand, the partial pressure of co is increased, there occurs the reaction fe_{ }o_{ } + co = feo + co_{ } and all the ferric oxide can be made to disappear. we see, therefore, that fe_{ }o_{ } can only exist at temperatures and in { } contact with mixtures of carbon monoxide and dioxide, represented by the area which lies below the under curve in fig. . similarly, the region of existence of feo is that represented by the area between the two curves; while metallic iron can exist under the conditions of temperature and composition of gas phase represented by the area above the upper curve in fig. . if, therefore, ferric oxide or metallic iron is heated for a sufficiently long time at temperatures above ° (to the right of the dotted line; _vide infra_), complete transformation to ferrous oxide finally occurs. in another series of equilibria which can be obtained, carbon is one of the solid phases. in fig. the equilibria between carbon, carbon monoxide, and carbon dioxide under pressures of one and of a quarter atmosphere, are represented by dotted lines.[ ] if we consider only the dotted line on the right, representing the equilibria under atmospheric pressure, we see that the points in which the dotted line cuts the other two curves must represent systems in which carbon monoxide and carbon dioxide are in equilibrium with feo + fe_{ }o_{ } + c, on the one hand, and with fe + feo + c on the other. these systems can only exist at one definite temperature, if we make the restriction that the pressure is maintained constant (atmospheric pressure). starting, therefore, with the equilibrium feo + fe_{ }o_{ } + co + co_{ } at a temperature of about °, and then add carbon to the system, the reaction c + co_{ } = co will occur, because the concentration of co_{ } is greater than what corresponds with the system feo + fe_{ }o_{ } + c in equilibrium with carbon monoxide and dioxide. in consequence of this reaction, the equilibrium between feo + fe_{ }o_{ } and the gas phase is disturbed, and the change in the composition of the gas phase is opposed by the reaction fe_{ }o_{ } + co = feo + co_{ }, which continues until either all the carbon { } or all the ferric oxide is used up. if the ferric oxide first disappears, the equilibrium corresponds with a point on the dotted line in the middle area of fig. , which represents equilibria between feo + c as solid phases, and a mixture of carbon monoxide and dioxide as gas phase. if the temperature is higher than °, at which temperature the curve for c--co--co_{ } cuts that for fe--feo--co--co_{ }; then, when all the ferric oxide has disappeared, the concentration of co_{ } is still too great for the coexistence of feo and c. consequently, there occurs the reaction c + co_{ } = co, and the composition of the gas phase alters until a point on the upper curve is reached. a further increase in the concentration of co is opposed by the reaction feo + co = fe + co_{ }, and the pressure remains constant until all the ferrous oxide is reduced and only iron and carbon remain in equilibrium with gas. if the quantities of the substances have been rightly chosen, we ultimately reach a point on the dotted curve in the upper part of fig. . fig. shows us, also, what are the conditions under which the reduction of ferric to ferrous oxide by carbon can occur. let us suppose, for example, that we start with a mixture of carbon monoxide and dioxide at about ° (the lowest point on the dotted line), and maintain the total pressure constant and equal to one atmosphere. if the temperature is increased, the concentration of the carbon dioxide will diminish, owing to the reaction c + co_{ } = co, but the ferric oxide will undergo no change until the temperature reaches °, the point of intersection of the dotted curve with the curve for feo and fe_{ }o_{ }. at this point further increase in the concentration of carbon monoxide is opposed by the reduction of ferric oxide in accordance with the equation fe_{ }o_{ } + co = feo + co_{ }. the pressure, therefore, remains constant until all the ferric oxide has disappeared. if the temperature is still further raised, we again obtain a univariant system, feo + c, in equilibrium with gas (univariant because the total pressure is constant); and if the temperature is raised the composition of the gas must undergo change. this is effected by the reaction c + co_{ } = co. when the { } temperature rises to °, at which the dotted curve cuts the curve for fe--feo, further change is prevented by the reaction feo + co = fe + co_{ }. when all the ferrous oxide is used up, we obtain the system fe + c in equilibrium with gas. if the temperature is now raised, the composition of the gas undergoes change, as shown by the dotted line. the two temperatures, ° and °, give, evidently, the limits within which ferric or ferrous oxide can be reduced directly by carbon. it is further evident that at any temperature to the right of the dotted line, carbon is unstable in presence of iron or its oxides; while at temperatures lower than those represented by the dotted line, it is stable. in the blast furnace, therefore, separation of carbon can occur only at lower temperatures, and the carbon must disappear on raising the temperature. finally, it may be remarked that the equilibrium curves show that ferrous oxide is most easily reduced at °, since the concentration of the carbon monoxide required at this temperature is a minimum. on the other hand, ferric oxide is reduced with greatest difficulty at °, since at this temperature the requisite concentration of carbon monoxide is a maximum. other equilibria between solid and gas phases are: equilibrium between iron, ferric oxide, water vapour, and hydrogen,[ ] and the equilibria between carbon, carbon monoxide, carbon dioxide, water vapour, and hydrogen,[ ] which is of importance for the manufacture of water gas. * * * * * { } chapter xviii systems of four components in the systems which have so far been studied, we have met with cases where two or three components could enter into combination; but in no case did we find double decomposition occurring. the reason of this is that in the systems previously studied, in which double decomposition might have been possible, namely in those systems in which two salts acted as components, the restriction was imposed that either the basic or the acid constituent of these salts must be the same; a restriction imposed, indeed, for the very purpose of excluding double decomposition. now, however, we shall allow this restriction to fall, thereby extending the range of study. hitherto, in connection with four-component systems, the attention has been directed solely to the study of aqueous solutions of salts, and more especially of the salts which occur in sea-water, _i.e._ chiefly, the sulphates and chlorides of magnesium, potassium, and sodium. the importance of these investigations will be recognized when one recollects that by the evaporation of sea-water there have been formed the enormous salt-beds at stassfurt, which constitute at present the chief source of the sulphates and chlorides of magnesium and potassium. the investigations, therefore, are not only of great geological interest as tending to elucidate the conditions under which these salt-beds have been formed, but are of no less importance for the industrial working of the deposits. it is, however, not the intention to enter here into any detailed description of the different systems which have so far been studied, and of the sometimes very complex relationships { } met with, but merely to refer briefly to some points of more general import in connection with these systems.[ ] reciprocal salt-pairs. choice of components.--when two salts undergo double decomposition, the interaction can be expressed by an equation such as nh_{ }cl + nano_{ } = nacl + nh_{ }no_{ } since one pair of salts--nacl + nh_{ }no_{ }--is formed from the other pair--nh_{ }cl + nano_{ }--by double decomposition, the two pairs of salts are known as _reciprocal salt-pairs_.[ ] it is with systems in which the component salts form reciprocal salt-pairs that we have to deal here. it must be noted, however, that the four salts formed by two reciprocal salt-pairs do not constitute a system of four, but only of _three_ components. this will be understood if it is recalled that only so many constituents are taken as components as are necessary to _express_ the composition of all the phases present (p. ). it will be seen, now, that the composition of each of the four salts which can be present together can be expressed in terms of three of them. thus, for example, in the case of nh_{ }cl, nano_{ }, nh_{ }no_{ }, nacl, we can express the composition of nh_{ }cl by nh_{ }no_{ } + nacl - nano_{ }; or of nano_{ } by nh_{ }no_{ } + nacl - nh_{ }cl. in all these cases it will be seen that negative quantities of one of the components must be employed; but that we have seen to be quite permissible (p. ). the number of components is, therefore, three; but any three of the four salts can be chosen. since, then, two reciprocal salt-pairs constitute only three { } components or independently variable constituents, another component is necessary in order to obtain a four-component system. as such, we shall choose water. transition point.--in the case of the formation of double salts from two single salts, we saw that there was a point--the _quintuple point_--at which five phases could coexist. this point we also saw to be a transition point, on one side of which the double salt, on the other side the two single salts in contact with solution, were found to be the stable system. a similar behaviour is found in the case of reciprocal salt-pairs. the four-component system, two reciprocal salt-pairs and water, can give rise to an invariant system in which the six phases, four salts, solution, vapour, can coexist; the temperature at which this is possible constitutes a _sextuple point_. now, this sextuple point is also a transition point, on the one side of which the one salt-pair, on the other side the reciprocal salt-pair, is stable in contact with solution. the sextuple point is the point of intersection of the curves of six univariant systems, viz. four solubility curves with three solid phases each, a vapour-pressure curve for the system: two reciprocal salt-pairs--vapour; and a transition curve for the condensed system: two reciprocal salt-pairs--solution. if we omit the vapour phase and work under atmospheric pressure (in open vessels), we find that the transition point is the point of intersection of four solubility curves. just as in the case of three-component systems we saw that the presence of one of the single salts along with the double salt was necessary in order to give a univariant system, so in the four-component systems the presence of a third salt is necessary as solid phase along with one of the salt-pairs. in the case of the reciprocal salt-pairs mentioned above, the transition point would be the point of intersection of the solubility curves of the systems with the following groups of salts as solid phases: below the transition point: nh_{ }cl + nano_{ } + nacl; nh_{ }cl + nano_{ } + nh_{ }no_{ }; above the transition point: nacl + nh_{ }no_{ } + nano_{ }; nacl + nh_{ }no_{ } + nh_{ }cl. from this we see that the two salts nh_{ }cl and nano_{ } would be able to exist together with solution below the transition point, but not above it. this transition point has not been determined. { } formation of double salts.--in all cases of four-component systems so far studied, the transition points have not been points at which one salt-pair passed into its reciprocal, but at which a double salt was formed. thus, at . ° glauber's salt and potassium chloride form glaserite and sodium chloride, according to the equation na_{ }so_{ }, h_{ }o + kcl = k_{ }na(so_{ })_{ } + nacl + h_{ }o above the transition point, therefore, there would be k_{ }na(so_{ })_{ }, nacl and kcl; and it may be considered that at a higher temperature the double salt would interact with the potassium chloride according to the equation k_{ }na(so_{ })_{ } + kcl = k_{ }so_{ } + nacl thus giving the reciprocal of the original salt-pair. this point has, however, not been experimentally realized.[ ] transition interval.--a double salt, we learned (p. ), when brought in contact with water at the transition point undergoes partial decomposition with separation of one of the constituent salts; and only after a certain range of temperature (transition interval) has been passed, can a pure saturated solution be obtained. a similar behaviour is also found in the case of reciprocal salt-pairs. if one of the salt-pairs is brought in contact with water at the transition point, interaction will occur and one of the salts of the reciprocal salt-pair will be deposited; and this will be the case throughout a certain range of temperature, after which it will be possible to prepare a solution saturated only for the one salt-pair. in the case of ammonium chloride and sodium nitrate the lower limit of the transition interval is . °, so that above this temperature and up to that of the transition point (unknown), ammonium chloride and sodium nitrate in contact with water would give rise to a third salt by double decomposition, in this case to sodium chloride.[ ] { } graphic representation.--for the graphic representation of systems of four components, four axes may be chosen intersecting at a point like the edges of a regular octahedron (fig. ).[ ] along these different axes the equivalent molecular amounts of the different salts are measured. [illustration: fig. .] [illustration: fig. .] to represent a given system consisting of _x_b, _y_c, and _z_d in a given amount of water (where b, c, and d represent equivalent molecular amounts of the salts), measure off on ob and oc lengths equal to _x_ and _y_ respectively. the point of intersection _a_ (fig. ) represents a solution containing _x_b and _y_c (_ab_ = _x_; _ac_ = _y_). from _a_ a line _a_p is drawn parallel to od and equal to _z_. p then represents the solution of the above composition. it is usual, however, not to employ the three-dimensional figure, but its horizontal and vertical projections. fig. , if projected on the base of the octahedron, would yield a diagram such as is shown in fig. . the projection of the edges of the octahedron form two axes at right angles and give rise to four quadrants similar to those employed for the representation of ternary solutions (p. ). here, the point _a_ represents a ternary solution saturated with respect to b and c; and _a_p, quaternary solutions in equilibrium with the same two salts as solid phases. such a diagram represents the conditions of equilibrium only for one definite temperature, and corresponds, therefore, to the isothermal diagrams for ternary systems (p. ). in such a diagram, since the temperature and { } pressure are constant (vessels open to the air), a surface will represent a solution in equilibrium with only one solid phase; a line, a solution with two solid phases, and a point, one in equilibrium with three solid phases. [illustration: fig. .] example.--as an example of the complete isothermal diagram, there may be given one representing the equilibria in the system composed of water and the reciprocal salt-pair sodium sulphate--potassium chloride for the temperature ° (fig. ).[ ] the amounts of the different salts are measured along the four axes, and the composition of the solution is { } expressed in equivalent gram-molecules per gram-molecules of water.[ ] the outline of this figure represents four ternary solutions in which the component salts have a common acid or basic constituent; viz. sodium chloride--sodium sulphate, sodium sulphate--potassium sulphate, potassium sulphate--potassium chloride, potassium chloride--sodium chloride. these four sets of curves are therefore similar to those discussed in the previous chapter. in the case of sodium and potassium sulphate, a double salt, _glaserite_ [k_{ }na(so_{ })_{ }] is formed. whether glaserite is really a definite compound or not is still a matter of doubt, since isomorphic mixtures of na_{ }so_{ } and k_{ }so_{ } have been obtained. according to van't hoff and barscholl,[ ] glaserite is an isomorphous mixture; but gossner[ ] considers it to be a definite compound having the formula k_{ }na(so_{ })_{ }. points viii. and ix. represent solutions saturated with respect to glaserite and sodium sulphate, and glaserite and potassium sulphate respectively. the lines which pass inwards from these boundary curves represent solutions containing three salts, but in contact with only two solid phases; and the points where three lines meet, or where three fields meet, represent solutions in equilibrium with three solid phases; with the phases, namely, belonging to the three concurrent fields. if it is desired to represent a solution containing the salts say in the proportions, na_{ }cl_{ }, . k_{ }cl_{ }, . k_{ }so_{ }, the difficulty is met with that two of the salts, sodium chloride and potassium sulphate, lie on opposite axes. to overcome this difficulty the difference - . = . is taken and measured off along the sodium chloride axis; and the solution is therefore represented by the point . na_{ }cl_{ }, . k_{ }cl_{ }. in order, therefore, to find the amount of potassium sulphate present { } from such a diagram, it is necessary to know the total number of salt molecules in the solution. when this is known, it is only necessary to subtract from it the sum of the molecules of sodium and potassium chloride, and the result is equal to twice the number of potassium sulphate molecules. thus, in the above example, the total number of salt molecules is . the number of molecules of sodium and potassium chloride is ; - = , and therefore the number of potassium sulphate molecules is . . another method of representation employed is to indicate the amounts of only two of the salts in a plane diagram, and to measure off the total number of molecules along a vertical axis. in this way a solid model is obtained. the numerical data from which fig. was constructed are contained in the following table, which gives the composition of the different solutions at °:--[ ] ---------------------------------------- | | | | point. | solid phases. | | | ---------------------------------------- i. | nacl | | | ii. | kcl | | | iii. | na_{ }so_{ }, h_{ }o | | | iv. | k_{ }so_{ } | | | v. | nacl; kcl | | | vi. | nacl; na_{ }so_{ }, h_{ }o | | | vii. | kcl; k_{ }so_{ } | | | viii. |{ glaserite; }| |{ na_{ }so_{ }, h_{ }o }| | | ix. | glaserite; k_{ }so_{ } | | | x. |{ na_{ }so_{ }, h_{ }o; kcl; }| |{ nacl }| | | xi. |{ na_{ }so_{ }, h_{ }o; kcl; }| |{ glaserite }| | | xii. | k_{ }so_{ }; kcl; glaserite | ---------------------------------------- [transcriber's note: table continued below...] ------------------------------------------------------------------------- composition of solution in gram-mols. | total per gram-mols. water. | number -------------------------------------------------------------| of salt na_{ }cl_{ }. | k_{ }cl_{ }. | na_{ }so_{ }. | k_{ }so_{ }. | molecules. ------------------------------------------------------------------------- | -- | -- | -- | | | | | -- | . | -- | -- | . | | | | -- | -- | | -- | | | | | -- | -- | -- | | | | | | . | . | -- | -- | | | | | . | -- | | -- | . | | | | -- | . | -- | | . | | | | -- | -- | | | | | | | | | | | -- | -- | . | | . | | | | | . | -- | . | | | | | | | | | . | | -- | . | | | | | | | | | | | -- | | ------------------------------------------------------------------------- from the aspect of these diagrams the conditions under which the salts can coexist can be read at a glance. thus, { } for example, fig. shows that at ° glauber's salt and potassium chloride can exist together with solution; namely, in contact with solutions having the composition x--xi. this temperature must therefore be below the transition point of this salt-pair (p. ). on raising the temperature to . °, it is found that the curve viii.--xi. moves so that the point xi. coincides with point x. at this point, therefore, there will be _four_ concurrent fields, viz. glauber's salt, potassium chloride, glaserite, and sodium chloride. but these four salts can coexist with solution only at the transition point; so that . ° is the transition temperature of the salt-pair: glauber's salt--potassium chloride. at higher temperatures the line viii.--xi. moves still further to the left, so that the field for glauber's salt becomes entirely separated from the field for potassium chloride. this shows that at temperatures above the transition point the salt-pair glauber's salt--potassium chloride cannot coexist in presence of solution. [illustration: fig. .] if it is only desired to indicate the mutual relationships of the different components and the conditions for their coexistence (_paragenesis_), a simpler diagram than fig. can be employed. thus if the boundary curves of fig. are so drawn that they cut one another at right angles, a figure such as fig. is obtained, the roman numerals here corresponding with those in fig. . ammonia-soda process.--one of the most important applications of the phase rule to systems of four components with reciprocal salt-pairs has recently been made by fedotieff[ ] in his investigations of the conditions for the formation of sodium carbonate by the so-called ammonia-soda (solvay) { } process.[ ] this process consists, as is well known, in passing carbon dioxide through a solution of common salt saturated with ammonia. whatever differences of detail there may be in the process as carried out in different manufactories, the reaction which forms the basis of the process is that represented by the equation nacl + nh_{ }hco_{ } = nahco_{ } + nh_{ }cl we are dealing here, therefore, with reciprocal salt-pairs, the behaviour of which has just been discussed in the preceding pages. the present case is, however, simpler than that of the salt-pair na_{ }so_{ }. h_{ }o + kcl, inasmuch as under the conditions of experiment neither hydrates nor double salts are formed. since the study of the reaction is rendered more difficult on account of the fact that ammonium bicarbonate in solution, when under atmospheric pressure, undergoes decomposition at temperatures above °, this temperature was the one chosen for the detailed investigation of the conditions of equilibrium. since, further, it has been shown by bodländer[ ] that the bicarbonates possess a definite solubility only when the pressure of carbon dioxide in the solution has a definite value, the measurements were carried out in solutions saturated with this gas. this, however, does not constitute another component, because we have made the restriction that the sum of the partial pressures of carbon dioxide and water vapour is equal to atmosphere. the concentration of the carbon dioxide is, therefore, not independently variable (p. ). [illustration: fig. .] in order to obtain the data necessary for a discussion of the conditions of soda formation by the ammonia-soda process, solubility determinations with the four salts, nacl, nh_{ }cl, nh_{ }hco_{ }, and nahco_{ } were made, first with the single salts and then { } with the salts in pairs. the results obtained are represented graphically in fig. , which is an isothermal diagram similar to that given by fig. . the points i., ii., iii., iv., represent the composition of solutions in equilibrium with two solid salts. we have, however, seen (p. ) that the transition point, when the experiment is carried out under constant pressure (atmospheric pressure), is the point of intersection of four solubility curves, each of which represents the composition of solutions in equilibrium with three salts, viz. one of the reciprocal salt-pairs along with a third salt. since, now, it was found that the stable salt-pair at temperatures between ° and ° is sodium bicarbonate and ammonium chloride, determinations were made of the composition of solutions in equilibrium with nahco_{ } + nh_{ }cl + nh_{ }hco_{ } and with nahco_{ } + nh_{ }cl + nacl as solid phases. under the { } conditions of experiment (temperature = °) sodium chloride and ammonium bicarbonate cannot coexist in contact with solution. these determinations gave the data necessary for the construction of the complete isothermal diagram (fig. ). the most important of these data are given in the following table (temperature, °):-- ------------------------------------------------------------------------- | | composition of the solution in gram-molecules | | to gram-molecules point. | solid phases. | of water. | |---------------------------------------------- | | nahco_{ } | nacl | nh_{ }hco_{ } | nh_{ }cl ------------------------------------------------------------------------- -- | nahco_{ } | . | -- | -- | -- -- | nacl | -- | . | -- | -- -- | nh_{ }hco_{ } | -- | -- | . | -- -- | nh_{ }cl | -- | -- | -- | . i. | nahco_{ }; nacl | . | . | -- | -- ii. | nacl; nh_{ }cl | -- | . | -- | . iii. | nh_{ }cl; | -- | -- | . | . | nh_{ }hco_{ } | | | | iv. | nahco_{ }; | . | -- | . | -- | nh_{ }hco_{ } | | | | p_{ } | nahco_{ }; | . | . | -- | . | nh_{ }hco_{ }; | | | | | nh_{ }cl | | | | p_{ } | nahco_{ }; | . | . | -- | . | nacl; nh_{ }cl | | | | ------------------------------------------------------------------------- with reference to the solution represented by the point p_{ }, it may be remarked that it is an incongruently saturated solution (p. ). if sodium chloride is added to this solution, the composition of the latter undergoes change; and if a sufficient amount of the salt is added, the solution p_{ } is obtained. turning now to the practical application of the data so obtained, consider first what is the influence of concentration on the yield of soda. since the reaction consists essentially in a double decomposition between sodium chloride and ammonium bicarbonate, then, after the deposition of the sodium bicarbonate, we obtain a solution containing sodium chloride, ammonium chloride, and sodium bicarbonate. in order to ascertain to what extent the sodium chloride has been converted into solid sodium bicarbonate, it is necessary to examine the composition of the solution which is obtained { } with definite amounts of sodium chloride and ammonium bicarbonate. [illustration: fig. .] consider, in the first place, the solutions represented by the curve p_{ }p_{ }. with the help of this curve we can state the conditions under which a solution, saturated for ammonium chloride, is obtained, after deposition of sodium bicarbonate. in the following table the composition of the solutions is given which are obtained with different initial amounts of sodium chloride and ammonium bicarbonate. the last two columns give the percentage amount of the sodium used, which is deposited as solid sodium bicarbonate (u_{na}); and likewise the percentage amount of ammonium bicarbonate which is usefully converted into sodium bicarbonate, that is to say, the amount of the radical hco_{ } deposited (u_{nh_{ }}):-- { } ------+---------------------+ |initial composition | |of the solutions: | |grams of salt to | point.|grams of water. | +------+--------------+ | nacl | nh_{ }hco_{ }| ------+------+--------------+ p_{ } | | | -- | | | -- | | | p_{ } | | | ------+------+--------------+ [transcriber's note: table continued below...] +----------------------------------+---------+---------- | | | |composition of solutions obtained:| | |gram-equivalents per grams |u_{na} |u_{nh_{ }} |of water. |per cent.|per cent. +----------+------+------+---------+ | | hco_{ } | cl | na | nh_{ } | | +----------+------+------+---------+---------+---------- | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . +----------+------+------+---------+---------+---------- this table shows that the greater the excess of sodium chloride, the greater is the percentage utilization of ammonia (point p_{ }); and the more the amount of sodium chloride decreases, the greater is the percentage amount of sodium chloride converted into bicarbonate. in the latter case, however, the percentage utilization of the ammonium bicarbonate decreases; that is to say, less sodium bicarbonate is deposited, or more of it remains in solution. consider, in the same manner, the relations for solutions represented by the curve p_{ }iv, which gives the composition of solutions saturated with respect to sodium bicarbonate and ammonium bicarbonate. in this case we obtain the following results:-- ------+---------------------+ |initial composition | |of the solutions: | |grams of salt to | point.|grams of water. | +------+--------------+ | nacl | nh_{ }hco_{ }| ------+------+--------------+ p_{ } | | | -- | | | -- | | | -- | | | -- | | | ------+------+--------------+ [transcriber's note: table continued below...] +----------------------------------+------+---------- | | | |composition of solutions obtained:| | |in gram-equivalents per grams|u_{na}|u_{nh_{ }} |of water. | | +----------+------+------+---------+ | | hco_{ } | cl | na | nh_{ } | | +----------+------+------+---------+------+---------- | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . +----------+------+------+---------+------+---------- as is evident from this table, diminution in the relative amount of sodium chloride exercises only a slight influence { } on the utilization of this salt, but is accompanied by a rapid diminution of the effective transformation of the ammonium bicarbonate. so far as the efficient conversion of the sodium is concerned, we see that it reaches its maximum at the point p_{ }, and that it decreases both with increase and with decrease of the relative amount of sodium chloride employed; and faster, indeed, in the former than in the latter case. on the other hand, the effective transformation of the ammonium bicarbonate reaches its maximum at the point p_{ }, and diminishes with increase in the relative amount of ammonium bicarbonate employed. since sodium chloride is, in comparison with ammonia--even when this is regenerated--a cheap material, it is evidently more advantageous to work with solutions which are relatively rich in sodium chloride (solutions represented by the curve p_{ }p_{ }). this fact has also been established empirically. when, as is the case in industrial practice, we are dealing with solutions which are saturated not for two salts but only for sodium bicarbonate, it is evident that we have then to do with solutions the composition of which is represented by points in the area p_{ }p_{ }i,iv. since in the commercial manufacture, the aim must be to obtain as complete a utilization of the materials as possible, the solutions employed industrially must lie in the neighbourhood of the curves p_{ }p_{ }iv, as is indicated by the shaded portion in fig. . the best results, from the manufacturer's standpoint, will be obtained, as already stated, when the composition of the solutions approaches that given by a point on the curve p_{ }p_{ }. considered from the chemical standpoint, the results of the experiments lead to the conclusion that the solvay process, _i.e._ passage of carbon dioxide through a solution of sodium chloride saturated with ammonia, is not so good as the newer method of schlösing, which consists in bringing together sodium chloride and ammonium bicarbonate with water.[ ] { } preparation of barium nitrite.--mention may also be made here of the preparation of barium nitrite by double decomposition of barium chloride and sodium nitrite.[ ] the reaction with which we are dealing here is represented by the equation bacl_{ } + nano_{ } = nacl + ba(no_{ })_{ } it was found that at the ordinary temperature nacl and ba(no_{ })_{ } form the stable salt-pair. if, therefore, barium chloride and sodium nitrite are brought together with an amount of water insufficient for complete solution, transformation to the stable salt-pair occurs, and sodium chloride and barium nitrite are deposited. when, however, a stable salt-pair is in its transition interval (p. ), a third salt--in this case barium chloride--will be deposited, as we have already learned. on bringing barium chloride and sodium nitrite together with water, therefore, three solid phases are obtained, viz. bacl_{ }, nacl, ba(no_{ })_{ }. these three phases, together with solution and vapour, constitute a univariant system, so that at each temperature the composition of the solution must be constant. witt and ludwig found that the presence of solid barium chloride can be prevented by adding an excess of sodium nitrite, as can be readily foreseen from what has been said. since the solution in presence of the three solid phases must have a definite composition at a definite temperature, the addition of sodium nitrite to the solution must have, as its consequence, the solution of an equivalent amount of barium chloride, and the deposition of an equivalent amount of sodium chloride and barium nitrite. by sufficient addition of sodium nitrite, the complete disappearance of the solid barium chloride can be effected, and there will remain only the stable salt-pair sodium chloride and barium nitrite. as was pointed out by meyerhoffer, however, the disappearance of the barium chloride is effected, not by a change in the { } composition of the solution, but by the necessity for the composition of the solution remaining constant. [illustration: fig. .] barium carbonate and potassium sulphate.--as has been found by meyerhoffer,[ ] these two salts form the stable pair, not only at the ordinary temperature, but also at the melting point. for the ordinary temperatures this was proved in the following manner: a solution with the solid phases k_{ }so_{ } and k_{ }co_{ }. h_{ }o in excess can only coexist in contact either with baco_{ } or with baso_{ }, since, evidently, in one of the two groups the stable system must be present. two solutions were prepared, each with excess of k_{ }so_{ } + k_{ }co_{ }. h_{ }o, { } and to one was added baco_{ } and to the other baso_{ }. after stirring for a few days, the barium sulphate was completely transformed to baco_{ }, whereas the barium carbonate remained unchanged. consequently, baco_{ } + k_{ }so_{ } + k_{ }co_{ }. h_{ }o is stable, and, therefore, so also is baco_{ } + k_{ }so_{ }. that baco_{ } + k_{ }so_{ } is the stable pair also at the melting point was proved by a special analytical method which allows of the detection of k_{ }co_{ } in a mixture of the four solid salts. this analysis showed that a mixture of baco_{ } + k_{ }so_{ }, after being fused and allowed to solidify, contains only small amounts of k_{ }co_{ }; and this is due entirely to the fact that baco_{ } + k_{ }so_{ } on fusion deposits a little baso_{ }, thereby giving rise at the same time to the separation of an equivalent amount of k_{ }co_{ }. the different solubilities are shown in fig. . in this diagram the solubility of the two barium salts has been neglected. a is the solubility of k_{ }co_{ }. h_{ }o; addition of baco_{ } does not alter this. b is the solubility of k_{ }co_{ }. h_{ }o + k_{ }so_{ } + baco_{ }. a and b almost coincide, since the potassium sulphate is very slightly soluble in the concentrated solution of potassium carbonate. d gives the concentration of the solution in equilibrium with k_{ }so_{ } + baso_{ }. the most interesting point is c. this solution is obtained by adding a small quantity of water to baco_{ } + k_{ }so_{ }, whereupon, being in the transition interval, baso_{ } separates out and an equivalent amount of k_{ }co_{ } goes into solution. c is the end point of the curve co, which is called the guldberg-waage curve, because these investigators determined several points on it. in their experiments, guldberg and waage found the ratio k_{ }co_{ } : k_{ }so_{ } in solution to be constant and equal to . this result is, however, not exact, for the curve co is not a straight line, as it should be if the above ratio were constant; but it is concave to the abscissa axis, and more so at lower than at higher temperatures. the following table refers to the temperature of °. the roman numbers in the first column refer to the points in fig. . the numbers in the column [sigma]_k__{ } give the amount, { } in gram-molecules, of k_{ }co_{ } + k_{ }so_{ } contained in gram-molecules of water:-- solubility determinations at °. -----+-------------------------------------+-----------------------+ | | gms. of the | | | solution contain, | no. | solid phases. | in grams, | | | | | | |k_{ }co_{ }|k_{ }so_{ }| -----+-------------------------------------+-----------+-----------+ i. | k_{ }co_{ }. h_{ }o + baco_{ } | . | -- | | | | | ii. |{ k_{ }co_{ }. h_{ }o + k_{ }so_{ } }| . | . | |{ + baco_{ } }| | | | | | | iii.}| k_{ }so_{ } + baco_{ } | { . | . | iv. }| | { . | . | | | | | v. | baco_{ } + k_{ }so_{ } + baso_{ } | . | . | | | | | vi. }| k_{ }so_{ } + baso_{ } | { . | . | vii.}| | { . | . | | | | | viii.| k_{ }so_{ } | -- | . | | | | | ix. }| baco_{ } + baso_{ } | { . | . | x. }| | { . | . | -----+-------------------------------------+-----------+-----------+ [transcriber's note: table continued below...] -----+-----------------------+-----------------+----------- | moles | | | of water contain, | | k_{ }co_{ } no. | in moles, |[sigma]_k__{ } | ----------- | | | | k_{ }so_{ } |k_{ }co_{ }|k_{ }so_{ }| | -----+-----------+-----------+-----------------+----------- i. | . | -- | -- | -- | | | | ii. | . | . | -- | -- | | | | | | | | iii.}| . | . | -- | -- iv. }| . | . | -- | -- | | | | v. | . | . | . | . | | | | vi. }| . | . | -- | -- vii.}| . | . | -- | -- | | | | viii.| -- | . | -- | -- | | | | ix. }| . | . | . | . x. }| . | . | . | . -----+-----------+-----------+-----------------+----------- the guldberg-waage curve at ° was also determined, and it was found that the ratio k_{ }co_{ }: k_{ }so_{ } is also not constant, although the variations are not so great as at °. guldberg-waage curve at °. ----------------------+-----------------------+-----------------+------- | moles of water | | k co solid phases. |contain, in moles, | [sigma]_k__{ } | ----- | | | | k so |k_{ }co_{ }|k_{ }so_{ }| | ----------------------+-----------+-----------+-----------------+------- baco_{ } + k_{ }so_{ }| . | . | . | . + baso_{ } | | | | baco_{ } + baso_{ } | . | . | . | . " " | . | . | . | . ----------------------+-----------+-----------+-----------------+------- * * * * * { } appendix experimental determination of the transition point for the purpose of determining the transition temperature, a number of methods have been employed, and the most important of these will be briefly described here. in any given case it is sometimes possible to employ more than one method, but all are not equally suitable, and the values of the transition point obtained by the different methods are not always identical. indeed, a difference of several degrees in the value found may quite well occur.[ ] in each case, therefore, some care must be taken to select the method most suitable for the purpose. i. the dilatometric method.--since, in the majority of cases, transformation at the transition point is accompanied by an appreciable change of volume, it is only necessary to ascertain the temperature at which this change of volume occurs, in order to determine the transition point. for this purpose the _dilatometer_ is employed, an apparatus which consists of a bulb with capillary tube attached, and which constitutes a sort of large thermometer (fig. ). some of the substance to be examined is passed into the bulb a through the tube b, which is then sealed off. the rest of the bulb and a small portion of the capillary tube is then filled with some liquid, which, of course, must be without chemical action on the substance under investigation. a liquid, however, may be employed which dissolves the substance, for, as we have seen (p. ), the transformation at the transition point is, as a rule, accelerated by the presence of a solvent. on the other hand, the liquid must not dissolve in the substance under examination, for the temperature of transformation would be thereby altered. { } in using the dilatometer, two methods of procedure may be followed. according to the first method, the dilatometer containing the form stable at lower temperatures is placed in a thermostat, maintained at a constant temperature, until it has taken the temperature of the bath. the height of the meniscus is then read on a millimetre scale attached to the capillary. the temperature of the thermostat is then raised degree by degree, and the height of the meniscus at each point ascertained. if, now, no change takes place in the solid, the expansion will be practically uniform, or the rise in the level of the meniscus per degree of temperature will be practically the same at the different temperatures, as represented diagrammatically by the line ab in fig. . on passing through the transition point, however, there will be a more or less sudden increase in the rise of the meniscus per degree (line bc) if the specific volume of the form stable at higher temperatures is greater than that of the original modification; thereafter, the expansion will again be uniform (line cd). similarly, on cooling, contraction will at first be uniform and then at the transition point there will be a relatively large diminution of volume. [illustration: fig. .] [illustration: fig. .] if, now, transformation occurred immediately the transition point was reached, the sudden expansion and contraction would take place at the same temperature. it is, however, generally found that there is a lag, and that with rising temperature the relatively large expansion does not take place until a temperature somewhat higher than the transition point; and with falling temperature the contraction occurs at a temperature somewhat below the transition point. this is represented in fig. by the lines bc and ef. the amount of lag will vary from case to case, and will { } also depend on the length of time during which the dilatometer is maintained at constant temperature. as an example, there may be given the results obtained in the determination of the transition point at which sodium sulphate and magnesium sulphate form astracanite (p. ).[ ] the dilatometer was charged with a mixture of the two sulphates. -------------------------------------------------------- temperature. | level of oil in capillary. | rise per °. -------------------------------------------------------- . ° | | . ° | | . ° | | . ° | | . ° | | . ° | | . ° | | . ° | | . ° | | . ° | | -------------------------------------------------------- the transition point, therefore, lies about . ° (p. ). the second method of manipulation depends on the fact that, while above or below the transition point transformation of one form into the other can take place, at the transition point the two forms undergo no change. the bulb of the dilatometer is, therefore, charged with a mixture of the stable and metastable forms and a suitable liquid, and is then immersed in a bath at constant temperature. after the temperature of the bath has been acquired, readings of the height of the meniscus are made from time to time to ascertain whether expansion or contraction occurs. if expansion is found, the temperature of the thermostat is altered until a temperature is obtained at which a gradual contraction takes place. the transition point must then lie between these two temperatures; and by repeating the determinations it will be possible to reduce the difference between the temperatures at which expansion and contraction take place to, say, °, and to fix the temperature of the transition point, therefore, to within half a degree. by this method the transition point, for example, of sulphur was found to be . ° under a pressure of atm.[ ] the following are the figures obtained by reicher, who used a mixture { } of part of carbon disulphide (solvent for sulphur) and parts of turpentine as the measuring liquid. temperature . °. ----------------------------------- time in minutes. | level of liquid. ----------------------------------- | . | . | . | ----------------------------------- temperature . °. ----------------------------------- time in minutes. | level of liquid. ----------------------------------- | . | . | . | . ----------------------------------- temperature . °. ----------------------------------- time in minutes. | level of liquid. ----------------------------------- | . | | . ----------------------------------- at a temperature of . ° there is a contraction, _i.e._ monoclinic sulphur passes into the rhombic, the specific volume of the former being greater than that of the latter. at . °, however, there is expansion, showing that at this temperature rhombic sulphur passes into monoclinic; while at . ° there is neither expansion nor contraction. this is, therefore, the transition temperature; and since the dilatometer was sealed up to prevent evaporation of the liquid, the pressure within it was atm. ii. measurement of the vapour pressure.--in the preceding pages it has been seen repeatedly that the vapour pressures of the two systems undergoing reciprocal transformation become identical at the transition point (more strictly, at the triple or { } multiple point), and the latter can therefore be determined by ascertaining the temperature at which this identity of vapour pressure is established. the apparatus usually employed for this purpose is the bremer-frowein tensimeter (p. ). although this method has not as yet been applied to systems of one component, it has been used to a considerable extent in the case of systems containing water or other volatile component. an example of this has already been given in glauber's salt (p. ). iii. solubility measurements.--the temperature of the transition point can also be fixed by means of solubility measurements, for at that point the solubility of the two systems becomes identical. reference has already been made to several cases in which this method was employed, _e.g._ ammonium nitrate (p. ), glauber's salt (p. ), astracanite and sodium and magnesium sulphates (p. ). the determinations of the solubility can be carried out in various ways. one of the simplest methods, which also gives sufficiently accurate results when the temperature is not high or when the solvent is not very volatile, can be carried out in the following manner. the solid substance is finely powdered (in order to accelerate the process of solution), and placed in sufficient quantity along with the solvent in a tube carefully closed by a glass stopper; the latter is protected by a rubber cap, such as a rubber finger-stall. the tube is then rotated in a thermostat, the temperature of which does not vary more than one or two tenths of a degree, until saturation is produced. the solution is withdrawn by means of a pipette to which a small glass tube, filled with cotton wool to act as a filter, is attached. the solution is then run into a weighing bottle, and weighed; after which the amount of solid in solution is determined in a suitable manner. for more accurate determinations of the solubility, especially when the solvent is appreciably volatile at the temperature of experiment, other methods are preferable. in fig. is shown the apparatus employed by h. goldschmidt,[ ] and used to a considerable extent in the laboratory of van't hoff. this consists essentially of three parts: _a_, a tube in which the solvent and salt are placed; this is closed at the foot by an india-rubber stopper. through this stopper there passes the bent tube _cb_, which connects the tube _a_ with the weighing-tube d. at _c_ there is a plug of cotton wool. tube _e_ is open to the air. the wider portion of the tube _cb_, which passes through the rubber stopper in _a_, can be closed by a plug { } attached to a glass rod _ff_, which passes up through a hollow witt stirrer, _g_. after being fitted together, the whole apparatus is immersed in the thermostat. after the solution has become saturated, the stopper of the bent tube is raised by means of the rod _ff_ and a suction-pump attached to the end of e. the solution is thereby drawn into the weighing-tube _d_, the undissolved salt being retained by the plug at c. the apparatus is then removed from the thermostat, tube _d_ detached and immediately closed by a ground stopper. it is then carefully dried and weighed. [illustration: fig. .] another form of solubility vessel, due to meyerhoffer and saunders, is shown in fig. .[ ] this consists of a single tube, and the stirring is effected by means of a glass screw. [illustration: fig. .] the progress of the solution towards saturation can be very well tested by determining the density of the solution from time to { } time. this is most conveniently carried out by means of the pipette shown in fig. .[ ] with this pipette the solution can not only be removed for weighing, but the volume can be determined at the same time. it consists of the wide tube _a_, to which the graduated capillary _b_, furnished with a cap _c_, is attached. to the lower end of the pipette the tube _e_, with plug of cotton wool, can be fixed. after the pipette has been filled by sucking at the end of _b_, the stop-cock _d_ is closed and the cap _c_ placed on the capillary. the apparatus can then be weighed, and the volume of the solution be ascertained by means of the graduations. as has already been insisted, particular care must be paid to the characterization of the solid in contact with the solution. [illustration: fig. .] iv. thermometric method.--if a substance is heated, its temperature will gradually rise until the melting point is reached, and the temperature will then remain constant until all the solid has passed into liquid. similarly, if a substance which can undergo transformation is heated, the temperature will rise until the transition point is reached, and will then remain constant until complete transformation has taken place. this method, it will be remembered, was employed by richards for the determination of the transition point of sodium sulphate decahydrate (p. ). the following figures give the results obtained by meyerhoffer in the case of the transformation:-- cuk_{ }cl_{ }, h_{ }o <--> cukcl_{ } + kcl + h_{ }o the temperature being noted from minute to minute: °, °, . °, . °, °, . °, . °, . °, . °, °, . °, °, and then a rapid fall in the temperature. from this we see that the transition point is about . °. it is also evident that a slight supercooling took place ( . °), owing to a delay in the transformation, but that then the temperature rose to the transition point. this is analogous to the supercooling of a liquid. a similar halt in the temperature would be observed on passing from lower to higher temperatures; but owing to a lag in the transformation, the same temperature is not always obtained. { } v. optical method.--the transition point can sometimes be determined by noting the temperature at which some alteration in the appearance of the substance occurs, such as a change of colour or of the crystalline form. thus mercuric iodide changes colour from red to yellow, and the blue quadratic crystals of copper calcium acetate change, on passing the transition point, into green rhombs of copper acetate and white needles of calcium acetate (p. ). or again, changes in the double refraction of the crystals may be also employed to ascertain the temperature of the transition point. these changes are best observed by means of a microscope. for the purpose of regulating the temperature of the substance a small copper air-bath is employed.[ ] vi. electrical methods.--electrical methods for the determination of the transition point are of two kinds, based on measurements of conductivity or of electromotive force. both methods are restricted in their application, but where applicable give very exact results. the former method, which has been employed in several cases, need not be described here. the second method, however, is of considerable interest and importance, and calls for special reference.[ ] if two pieces, say, of zinc, connected together by a conducting wire, are placed in a solution of a zinc salt, _e.g._ zinc sulphate, the potential of the two electrodes will be the same, and no current will be produced in the connecting wire. if, however, the zinc electrodes are immersed in two solutions of _different_ concentration contained in separate vessels, but placed in connection with one another by means of a bent tube filled with a conducting solution, the potentials at the electrodes will no longer be the same, and a current will now flow through the connecting wire. the direction of this current _in the cell_ will be from the weaker to the more concentrated solution. the greater the difference in the concentration of the solutions with respect to zinc, the greater will be the difference of the potential at the two electrodes, or the greater will be the e.m.f. of the cell. when the concentration of the two solutions becomes the same, the e.m.f. will become zero, and no current will pass. it will be understood now how this method can be made use of { } for determining the transition point of a salt, when we bear in mind that at the transition point the solubility of the two forms becomes identical. thus, for example, the transition point of zinc sulphate heptahydrate into hexahydrate could be determined in the following manner. tube a (fig. ) contains, say, a saturated solution of the heptahydrate along with some of the solid salt; tube b, a saturated solution of the hexahydrate along with the solid salt. the tube c is a connecting tube bent downwards so as to prevent the mixing of the solutions by convection currents. zz are two zinc electrodes immersed in the solution; the cell is placed in a thermostat and the zinc electrodes connected with a galvanometer. since, now, at temperatures below the transition point the solubility of the hexahydrate (the metastable form) is greater than that of the heptahydrate, a current will be produced, flowing in the cell from heptahydrate to hexahydrate. as the temperature is raised towards the transition point, the solubilities of the two hydrates also approach, and the current produced will therefore become weaker, because the e.m.f. of the cell becomes less; and when the transition point is attained, the e.m.f. becomes zero, and the current ceases. if the temperature is raised above this, the solubility of the heptahydrate becomes greater than that of the hexahydrate, and a current will again be produced, but in the opposite direction. by noting the temperature, therefore, at which the current ceases, or the e.m.f. becomes zero, the transition temperature can be ascertained.[ ] [illustration: fig. .] in the case just described, the electrodes consisted of the same metal as was contained in the salt. but in some cases, _e.g._ sodium sulphate, electrodes of the metal contained in the salt cannot be employed. nevertheless, the above electrical method can be used { } even in those cases, if a suitable non-polarizable mercury electrode is employed.[ ] although, as we saw, no current was produced when two pieces of zinc were immersed in the same solution of zinc salt, a current will be obtained if two different metals, or even two different modifications of the same metal, are employed. thus an e.m.f. will be established when electrodes of grey and of white tin are immersed in the same solution of zinc salt, but at the transition point this e.m.f. will become zero. by this method cohen determined the transition point of grey and white tin (p. ). * * * * * { } name index a abegg, adriani, , , alexejeff, , allan, allen, l. e., allen, r. w., ampolla, andreä, aristotle, armstrong, e. f., armstrong, h. e., arzruni, aten, , auerbach, b babo, bancroft, , , , , , , , , , , , , barnes, , barschall, barus, battelli, baur, , beckmann, bell, berthollet, bodländer, , , , bogojawlenski, boudouard, , braun, brauns, , , bredig, bremer, brodie, , bruner, bruni, , , , bunsen, c cady, calvert, cameron, carnelley, carpenter, carveth, , centnerszwer, chapman, chappuis, , charpy, churchill, coehn, cohen, , , , , cooke, , cox, d dawson, debray, , , deville, , dewar, , , dietz, { } doelter, donnan, , dreyer, duhem, , dutoit, e etard, , f fahrenheit, faraday, , fath, fedotieff, , findlay, , , , foote, friedländer, fritsche, frowein, füchtbauer, fyffe, g gattermann, , gautier, , gay-lussac, gernez, gibbs, , , , glaessner, goldschmidt, e., goldschmidt, h., goldschmidt, v., goossens, gossner, graham, guertler, guldberg, guthrie, , , , , , h haber, hahn, , hallock, hammerl, hautefeuille, , , , , heller, henry, herold, hertz, heycock, , , heyn, , hickmans, hiorns, hissink, , hoitsema, , , , , hollmann, holsboer, horstmann, , , hudson, hulett, , , , , , i isaac, isambert, , , j jaffé, , joulin, juhlin, , , von jüptner, k kastle, kaufler, kaufmann, kayser, keeling, kelvin, kenrick, , kipping, kirchhoff, knorr, de kock, , , konowaloff, , , krasnicki, kremann, , kuenen, kultascheff, { } kuriloff, kurnakoff, , , küster, , , l laar, labenburg, lattey, le chatelier, , , lehfeldt, , lehmann, , , lidbury, loewel, , loewenherz, , lowry, , ludwig, lumsden, , , lussana, luther, m mack, magnus, mathews, mellor, meusser, meyer, j., meyer, v., meyerhoffer, , , , , , , , , , , , , , , , , middelberg, miers, miller, mitscherlich, , mond, moore, moss, müller, , mylius, , , n naumann, neville, , , o offer, ostwald, , , , , , , , , , , , , , , , , , , , , p padoa, , parsons, pasteur, paternò, payen, pedler, pfaundler, philip, , von pickardt, planck, pope, poynting, preuner, puschin, q quincke, r rabe, ramsay, , , , , , , , , , , , , raoult, reed, regnault, reicher, , , , , reinders, , , reinitzer, , richards, , riddle, riecke, , roberts-austen, , , , , roloff, roozeboom, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , { } rose, rotarski, rothmund, , , rutten, s saposchnikoff, saunders, , , , , saurel, schaum, , scheel, , , schenck, , , , schneider, schönbeck, schreinemakers, , , , , , , , schrötter, schukowsky, schwarz, seitz, shenstone, , , shepherd, , shields, skirrow, spring, von stackelberg, , staedel, stansfield, , stokes, stortenbeker, , , , , t taber, tammann, , , , , , , , , , , , , , , , , , thiesen, , , thomson, j., , , thomson, w., tilden, , , trevor, troost, , , , tumlirz, v van bemmelen, van deventer, , , , , van eyk, , , , van't hoff, , , , , , , , , , , , , , , , , , , , , , , , , , van leeuwen, van wyk, vogt, , w waage, wald, walden, walker, , , , , wegscheider, , , wells, wenzel, wiebe, witt, wright, , , von wrochem, , y young, , , , , , , , , , , , z zacharias, zawidski, zenghelis, zimmermann, zincke, ziz, * * * * * { } subject index a acetaldehyde and paraldehyde, acetic acid, chloroform, water, acetone, phenol, water, adsorption, alcohol, chloroform, water, ----, ether, water, alloys, equilibrium curves of, ---- of copper and tin, liquefaction of, by cooling, ---- of iron and carbon, ---- of thallium and mercury, ----, ternary, ammonia compounds of metal chlorides, ammonia silver chlorides, ---- ---- ----, dissociation pressures of, ammonia-soda process, ammonium chloride, dissociation of, , ---- cyanide, dissociation of, ---- hydrosulphide, dissociation of, ---- nitrate, solubility of, aniline, phenol, water, astracanite, , , , b babo, law of, barium acetate, solubility of, barium carbonate and potassium sulphate, ---- nitrite, preparation of, basic salts, benzaldoximes, benzene and picric acid, bismuth, effect of pressure on the melting point of, ----, lead, tin, ---- nitrates, basic, bivariant systems, bromocinnamic aldehyde and chlorocinnamic aldehyde, c calcium carbonate, dissociation of, , , ---- chloride hexahydrate, solubility of, ---- ----, solubility of hydrates of, ---- ----, vapour-pressure of hydrates of, camphor oximes, , carnallite, carvoximes, , cementite, chlorine and iodine, chlorocinnamic aldehyde and bromocinnamic aldehyde, chloroform, acetic acid, water, ----, alcohol, water, { } classification of systems, component, , , ----, systems of one, , components, choice of, , , , , ----, determination of number of, ----, systems of four, ----, ---- of three, ----, ---- of two, , ----, variation in number of, , composition, determination of, without analysis, , concentration-temperature curve for two liquids, condensed systems, constituent, cooling curve, copper calcium acetate, ---- chloride, heat of solution of, ---- dipotassium chloride, ---- sulphate, critical concentration, , ---- pressure of water, ---- solution temperature, ---- temperature of water, cryohydrates, , cryohydric point, ---- ----, changes at the, ---- ---- for silver nitrate and ice, crystals, liquid, ----, ----, equilibria of, ----, ----, list of, ----, ----, nature of, ----, mixed, crystallization, velocity of, , ----, spontaneous, d deliquescence, devitrification, diethylamine and water, solubility of, dilatometer, determination of transition points by, dineric surface, dissociation equilibrium, effect of addition of dissociation products on, ---- of ammonia compounds of metal chlorides, , ---- of ammonium chloride, , ---- ---- cyanide, ---- ---- hydrosulphide, ---- of calcium carbonate, , ---- of compounds, degree of, ---- of phosphonium bromide, ---- of salt hydrates, ----, phenomena of, dissociation pressure, distillation of supercooled liquid to solid, , double salt interval, ---- salts, crystallization from solution, ---- ----, decomposition by water, ---- ----, formation of, , , e efflorescence, electrical methods of determining transition points, enantiotropy, , equilibria, gibbs's theory of, ----, metastable, equilibrium apparent (false), , ---- between ice and solution, ---- between ice and water, ---- between ice, water, vapour, ---- between water and vapour, ----, chemical, , ----, heterogeneous, ----, homogeneous, ----, independence of, on amounts of phases, ----, law of movable, { } ----, physical, , ---- real (true), , ether, alcohol, water, ----, succinic nitrile, water, ethylene bromide, picric acid, [beta]-naphthol, eutectic mixtures, , , , , ---- point, , , , f ferric chloride, evaporation of solutions of, ---- ----, hydrates of, , ---- ----, hydrogen chloride and water, systems of, ferrite, modifications of, freedom, degree of, freezing mixtures, ---- point, natural, fusion curve, ---- ---- of ice, ---- of ice, influence of pressure on, ----, partial, g glaserite, , glasses, glauber's salt, , ---- ----, transition curve of, , graphic representation in space, , h hydrates, range of existence of, ---- chloride and water, hydrogen bromide and water, hylotropic substances, i ice i., ---- ii., ---- iii., ----, equilibrium between water and, ----, influence of pressure on melting point of, , ----, sublimation curve of, ----, vapour pressure of, , indifferent point, individual, chemical, inversion temperature, iodine and chlorine, iron--carbon alloys, ----, carbon monoxide and carbon dioxide, isomerides, dynamic, , ----, ----, equilibrium between, , ----, ----, equilibrium point of, ----, transformation of unstable into stable, isomerism, dynamic, isothermal evaporation, ---- solubility curves, l lead, bismuth, tin, ----, desilverization of, ----, silver, zinc, le chatelier, theorem of, lime, burning of, liquidus curve, m mandelic acid, martensite, mass action, law of, melting point, influence of pressure on, { } ---- ----, congruent, ---- ----, incongruent, ---- under the solvent, menthyl mandelates, mercuric bromide and iodide, mercury salts, basic, metastable equilibria, ---- region, ---- state, methylethyl ketone and water, minerals, formation of, miscibility of liquids, complete, , , ---- ----, partial, , , mixed crystals, , ---- ----, changes in, with temperature, ---- ----, examples of, , , , , , , ---- ----, formation of, , ---- ----, fractional crystallization of, ---- ----, freezing points of, ---- ----, melting points of, , ---- ----, pseudoracemic, mixtures, isomorphous, ---- of constant boiling point, ---- of constant melting point, , , , , , , monotropy, , multivariant systems, n naphthalene and monochloracetic acid, ---- and [beta]-naphthol, mixed crystals of, [beta]-naphthol, ethylene bromide, picric acid, [alpha]-naphthylamine and phenol, nickel iodate, solubility of, _o_-nitrophenol and _p_-toluidine, o occlusion of gases, optical method of determining transition points, optically active substances, freezing-point curves of, order of a system, organic compounds, application of phase rule to, p palladium and hydrogen, , paragenesis, paraldehyde and acetaldehyde, partial pressures of two components, pearlite, phase, ---- rule, , ---- ----, deduction of, ---- ----, scope of, phases, formation of new, ----, number of, phenol, acetone, water, ----, aniline, water, ---- and [alpha]-naphthylamine, ---- and _p_-toluidine, ---- and water, solubility of, phosphonium bromide, dissociation of, ---- chloride, phosphorus, ----, distillation of white to red, ----, melting point of red, ----, ---- ---- of white, ----, solubility of white and red, ----, vapour pressure of white and red, picric acid and benzene, ---- ----, ethylene bromide, and [beta]-naphthol, polymorphic forms, solubility of, { } ---- substances, list of, polymorphism, potassium nitrate and thallium nitrate, potential, chemical, pressure-concentration diagram for two liquids, pressure-temperature diagram for solutions, pseudomonotropy, pseudo-racemic mixed crystals, pyridine and methyl iodide, pyrometer, registering, q quadruple point, quintuple point, , r racemates, characterization of, , reactions, law of successive, reciprocal salt-pairs, ---- ----, transition point of, rubidium tartrates, s salt hydrates, ---- ----, indefiniteness of vapour pressure of, ---- ---- with definite melting point, separation of salt on evaporation, silicates, hydrated, silver, lead, zinc, silver nitrate, solubility of, ---- ---- and sodium nitrate, single salt interval, sodium ammonium tartrates, ---- nitrate and silver nitrate, ---- sulphate and water, equilibria between, sodium sulphate and water, vapour pressures of, , ---- ----, anhydrous, dehydration by, ---- ----, solubility of, ---- ---- decahydrate, solubility of, ---- ---- ----, transition point of, , ---- ---- heptahydrate, solubility of, ---- ---- ----, transition point of, solidus curve, solubility curve at higher temperatures, ---- ----, form of, ---- ---- of anhydrous salts, ---- ----, retroflex, , , ---- curves, interpolation and extrapolation of, ---- ---- of three component systems, ----, determination of transition points by, ----, influence of pressure on, ----, ---- of subdivision on, ----, ---- of temperature on, ---- of metastable forms, , , solubility of polymorphic forms, ---- of salt hydrates, , ---- of supercooled liquids, ----, retrograde, solute, solution, definition of, ----, heat of, , ----, saturated, , ----, supersaturated, ---- temperature, critical, ----, unsaturated, solutions, bivariant systems, ----, congruently saturated, ---- conjugate, , { } ----, incongruently saturated, , ----, inevaporable, ---- of gases in liquids, ---- ---- in solids, ---- of liquids in liquids (binary), ---- ---- ---- (ternary), ---- ----, influence of temperature on, ---- of solids in liquids, ---- ---- in solids, ----, solid, , ----, univariant systems, space model for carnallite, stability limit, steel, formation of, sublimation curve, ---- ---- of ice, ---- without fusion, succinic nitrile and water, ---- ether, water, sulphur, , ---- dioxide and water, ---- ---- and potassium iodide, ----, transition point of rhombic and monoclinic, supersaturation, , , ----, limits of, systems, condensed, ---- of one component, ---- of two components, , , t tachydrite, influence of pressure on the transition point of, tartrate, dimethyl, ----, sodium potassium, tautomeric substances, tensimeter, thallium nitrate and potassium nitrate, theorem of van't hoff and le chatelier, thermometric determination of transition point, tin, ----, lead, bismuth, ---- plague, ----, transition point of white and grey, _p_-toluidine and _o_-nitrophenol, ---- and phenol, transformation of optically active substances, ----, suspended, , , , , , ----, velocity of, transition curve, ---- ---- of glauber's salt, , ---- ---- of rhombic and monoclinic sulphur, ---- interval, , , ---- point, ---- ---- for double salts, ---- ----, influence of pressure on the, ---- points, as fixed points in thermometry, ---- ----, methods of determining, ---- ---- of polymorphic substances, triangle, graphic representation by, triethylamine and water, triple point, , ---- ----, arrangement of curves round, ---- ----, changes at, ---- ----, ice, water, vapour, ---- ----, ice ii., ice iii., and water, ---- ----, metastable, ---- ----, monoclinic sulphur, liquid, vapour, ---- ----, monoclinic and rhombic sulphur, liquid, ---- ----, monoclinic and rhombic sulphur, vapour, { } ---- ----, red phosphorus, liquid, vapour, ---- ----, rhombic sulphur, liquid, vapour, ---- ---- solid, solid, vapour, ---- ----, white phosphorus, liquid, vapour, u univariant systems, v van't hoff, theorem of, vaporization curve, ---- ----, interpolation and extrapolation of, ---- ---- of water, , vapour pressure, constancy of, and formation of compounds, ---- ----, dependence of, on solid phase, ---- ----, influence of surface tension on, ---- ---- in three-component systems, ---- ----, measurement of, , ---- ---- of calcium chloride solutions, ---- ---- of ice, , ---- ---- of small drops, ---- ---- of sodium sulphate and water, vapour pressure of solid, solution, vapour, ---- ---- of water, , variability of a system, , variance of a system, volatile components, two, w water, ----, acetic acid, chloroform, ----, acetone, phenol, ----, alcohol, ether, ----, ----, chloroform, ----, aniline, phenol, ----, bivariant systems of, ----, critical pressure of, ----, critical temperature of, ----, equilibrium between ice and, ----, ---- between vapour and, ----, ether, succinic nitrile, ----, supercooled, ----, ----, vapour pressure of, ----, vaporization curve of, ----, vapour pressure of, z zeolites, zinc, lead, silver, ---- chloride in water, solubility of, the end printed by william clowes and sons, limited, london and beccles. * * * * * notes [ ] except when the volume of the liquid becomes exceedingly small, in which case the surface tension exerts an influence on the vapour pressure. [ ] for reasons which will appear later (chap. iv.), the volume of the vapour is supposed to be large in comparison with that of the solid and liquid. [ ] ramsay and young, _phil. trans._, , . . [ ] see, more especially, vogt, _die silikatschmelzlösungen_. (christiania, , .) [ ] _trans. connecticut acad._, - . [ ] lehre von der chemischen verwandtschaft der körper, . [ ] see ostwald's _klassiker_, no. . [ ] etudes sur les affinités chimiques, ; ostwald's _klassiker_, no. . [ ] died april, . [ ] for a mathematical treatment of the phase rule the reader is referred to the volume in this series on thermodynamics, by f. g. donnan. [ ] liebig's _annalen_, , , ; ostwald, _lehrbuch_, ii. . . [ ] the action of gravity and other forces being excluded (see p. ). [ ] it may seem as if this were a contradiction to what was said on p. as to the effect of the addition of ammonia or hydrogen chloride to the system constituted by solid ammonium chloride in contact with its products of dissociation. there is, however, no contradiction, because in the case of ammonium chloride the gaseous phase consists of ammonia and hydrogen chloride in equal proportions, and in adding ammonia or hydrogen chloride alone we are not adding the gaseous phase, but only a constituent of it. addition of ammonia and hydrogen chloride together in the proportions in which they are combined to form ammonium chloride would cause no change in the equilibrium. [ ] the vapour pressure of water in small drops is greater than that of water in mass, and the solubility of a solid is greater when in a state of fine subdivision than when in large pieces (_cf._ hulett, _zeitschr. physikal. chem._, , . ). [ ] see ostwald, _lehrbuch_, ii. . , ; roozeboom, _zeitschr. physikal. chem._, , . ; _heterogene gleichgewichte_, i. p. ; wegscheider, _zeitschr. physikal. chem._, , . . [ ] ostwald, _lehrbuch_, ii. . . [ ] see also hoitsema, _zeitschr. physikal. chem._ , . . [ ] the term "degree of freedom" employed here must not be confused with the same term used to denote the various movements of a gas molecule according to the kinetic theory. [ ] trevor, _jour. physical chem._, , . . [ ] ostwald, _principles of inorganic chemistry_, translated by a. findlay, nd edit., p. . (macmillan, .) [ ] see the volume in this series on _thermodynamics_ by f. g. donnan. [ ] _pogg. annalen_, , . . [ ] _mémoires de l'acad._, . . [ ] _phil. trans._ , . ; , a, . . [ ] _bihang svenska akad. handl._ , . i. . [ ] abh_andl. physikal.-tech. reichsanstalt_, , . . [ ] ostwald-luther, _physiko-chemische messungen_, nd edit., p. . [ ] _annales chim. et phys._, [ ], . . [ ] the vapour pressure of water at ° has recently been very accurately determined by thiesen and scheel (_loc. cit._), and found to be . ± . mm. of mercury (at °), or equal to . atm. [ ] juhlin, _bihang svenska akad. handl._, , . i. . see also ramsay and young, _loc. cit._ [ ] _trans. roy. soc. edin._, , . . [ ] _proc. roy. soc. edin._, , , . [ ] _annalen der physik_, [ ], . ; [ ], . , . see also dewar, _proc. roy. soc._, , . . [ ] the pressure of atmosphere is equal to . kilogm. per sq. cm.; or the pressure of kilogm. per sq. cm. is equal to . atm. [ ] tammann, _loc. cit._, , . , ; cf. goossens, _arch. néerland_, , . . [ ] j. thomson, _proc. roy. soc._, , . . [ ] a field is "enclosed" by two curves when these cut at an angle less than two right angles. it may be useful to remember that an invariant system is represented by a _point_, a univariant system by a _line_, and a bivariant system by an _area_. [ ] _phil. trans._, , . . [ ] juhlin, _loc. cit._, p. ; cf. ramsay and young, _loc. cit._: thiesen and scheel, _loc. cit._ [ ] this small difference is due to experimental errors in the determination of the vapour pressures; a differential method betrayed no difference between the vapour pressure of ice and of water at °. [ ] _phil. mag._, [ ], . ; _proc. roy. soc._, , . . [ ] _pogg. annalen_, , , . [ ] see _phil. trans._, , , . [ ] this phenomenon of distillation from the supercooled liquid to the solid has been very clearly observed in the case of furfuraldoxime (v. goldschmidt, _zeitschr. f. krystallographie_, , . ). [ ] _annalen der physik_, [ ], . , . [ ] a similar triple point has been determined by tammann in the case of phenol (_annalen der physik_, [ ], . ). [ ] _annales chim. et phys._, , . . [ ] lehmann, _molekularphysik_, i. .; arzruni, _physikalische chemie der krystalle_. (graham-otto, _lehrbuch der chemie_, i. .) [ ] brodie, _proc. roy. soc._, , . . [ ] that solid sulphur does possess a certain vapour pressure has been shown by hallock, who observed the formation at the ordinary temperature of copper sulphide in a tube containing copper and sulphur (_amer. jour. sci._, [ ], . ). see also zenghelis, _zeitschr. physikal. chem._, , . . [ ] _zeitschr. für krystallographie_, , . . [ ] van't hoff, _studies on chemical dynamics_, p. . [ ] reicher, _loc. cit._ see also tammann, _annalen der physik_, [ ], . . [ ] tammann, _annalen der physik_, [ ], . . [ ] rec. trav. _chim. pays-bas_, , . . [ ] cf. van't hoff, _lectures on physical chemistry_, i., p. (arnold). [ ] _annalen der physik_, [ ], . . [ ] brauns, _jahrbuch für mineralogie_, - , . beilage, p. . [ ] fritsche, _ber._, , . , . [ ] _de mirabilibus auscultationibus_, cap. (_v._ cohen, _zeitschr. physikal. chem._, , . ). [ ] e. cohen and c. van eyk, _zeitschr. physikal. chem._, , . ; cohen, _ibid._, , . ; . ; , . ; cohen and e. goldschmidt, _ibid._, , . . [ ] _zeitschr. physikal. chem._, , , . [ ] stortenbeker, _zeitschr. physikal. chem._, , . ; _rec. trav. chim. pays-bas_, , . . [ ] zincke, _ber._, , . . [ ] ostwald, _zeitschr. physikal. chem._, , . . [ ] roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] roozeboom, _ibid._, p. . [ ] schrötter, _pogg. annalen_, , . ; troost and hautefeuille, _annales de chim. et phys._ [ ], . ; _ann. scient. Ã�cole norm._ [ ], ii. . [ ] pedler, _trans. chem. soc._, , . . [ ] brodie, _trans. chem. soc._, , , . [ ] this is a familiar fact in the case of the solubility in carbon disulphide. [ ] roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] _trans. chem. soc._, , . . [ ] carnelley, _trans. chem. soc._, , . ; , . . v. meyer and riddle, _ber._, , . . [ ] riecke, _zeitschr. physikal. chem._, , . . [ ] _annalen der physik._, [ ], . . [ ] _zeitschr. physikal. chem._, , . . [ ] see naumann, _ber._, , . ; troost and hautefeuille, _compt. rend._, , . ; , . ; roozeboom, _das heterogene gleichgewicht_, i. pp. , . [ ] mitscherlich, _lieb. annalen_, , . ; deville and troost, _compt. rend._, , . . [ ] beckmann, _zeitschr. physikal. chem._, , . ; hertz, _ibid._, . . [ ] _ber._, , . . _cf._ also, k. schaum, _annalen der chem._, , . ; r. wegscheider and kaufler, _sitzungsber. kaiserl. akad. wissensch. in wien_, , , ii. . [ ] see also roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] _annales de chim. et phys._, [ ], . . [ ] _compt. rend._, , . . [ ] _compt. rend._, , . . [ ] _phil. mag._, [ ], . . see also roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] brauns, _neues jahrbuch für mineralogie_, , . beilage-band, p. ; roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] _monatshefte_, , . . [ ] gattermann, _ber._, , . . [ ] _zeitschr. physikal. chem._, , . ; _annalen der physik_, [ ], . . [ ] quincke, _annalen der physik_, [ ], . ; tammann, _annalen der physik_, [ ], . ; , . ; rotarski, _ibid._, . . [ ] _annalen der physik_, [ ], . . [ ] _annalen der physik_, [ ], . . [ ] see, more especially, o. lehmann, _annalen der physik_, [ ], . ; reinitzer, _sitzungsber. kaiserl. akad. zu wien._, , . ( ), ; . ( ), ; gattermann, _loc. cit._; schenck, _zeitschr. physikal. chem._, , . ; , . ; . ; , . ; schenck and schneider, _ibid._, , . ; abegg and seitz, _ibid._, , . ; hulett, _ibid._, , . ; coehn, _zeitschr. elektrochem._, , . : bredig and schukowsky, _ibid._, . for a full account of the subject, the reader is referred to the work by lehmann, _flüssige kristalle_ (engelmann, ), or the smaller monograph by schenck, _kristallinische flüssigkeiten und flüssige kristalle_ (engelmann, ). [ ] a. c. de kock, _zeitschr. physikal. chem._, , . . [ ] on account of the fact that all grades of rigidity have been realized between the ordinary solid and the liquid state, in the case both of crystalline and amorphous substances, it has been proposed to abandon the terms "solid" and "liquid," and to class bodies as "crystalline" or "amorphous," the passage from the one condition to the other being discontinuous; crystalline bodies possess a certain regular orientation of their molecules and a directive force, while in amorphous bodies these are wanting (see lehmann, _annalen der physik_, [ ], . ). [ ] hulett, _loc. cit._ [ ] roozeboom, _das heterogene gleichgewicht_, i. p. . see also schenck, _kristallinische flüssigkeiten und flüssige kristalle_, p. (engelmann, ). [ ] the possible number of triple points in a one-component system is given by the expression (_n_(_n_ - )(_n_ - ))/ . . , where _n_ is the number of phases (riecke, _zeitschr. physikal. chem._, , , ). the number of triple points, therefore, increases very rapidly as the number of possible phases increases. [ ] duhem, _zeitschr. physikal. chem._, , . . _cf._ roozeboom, _das heterogene gleichgewicht_, p. ff. [ ] roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] roozeboom, _zeitschr. physikal. chem._, , . . [ ] these changes can be predicted quantitatively by means of the thermodynamic equation, _dp_/_dt_ = q/(t(_v_{ }_ - _v_{ }_)), provided the specific volumes of the phases are known, and the heat effect which accompanies the transformation of one phase into the other. [ ] _studies on chemical dynamics_, translated by ewan, p. . [ ] le chatelier, _compt. rend._, , . . [ ] see _principles of inorganic chemistry_, translated by findlay, nd edit., p. . (macmillan, .) [ ] roozeboom, _zeitschr. physikal. chem._, , . . [ ] roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] roozeboom, _das heterogene gleichgewicht_, i. p. . see also zawidski, _zeitschr. physikal. chem._, , . ; van eyk, _ibid._, , . . [ ] roberts-austen, _proc. roy. soc._, . ; spring, _zeitschr. physikal. chem._, , . . see also p. . [ ] ramsay and young, _phil. trans._, , . ; allen, _trans. chem. soc._, , . . [ ] ramsay and young, _phil. trans._ , . . [ ] this is exemplified in the well-known experiment with the cryophorus. [ ] tammann has, however, found that the fusion curve (solid in contact with liquid) of phosphonium chloride can be followed up to temperatures above the critical point (_arch. néer._, [ ], . ). [ ] _phil. mag._, , . . see also s. a. moss, _physical review_, , . . [ ] this is found also in the case of bismuth. see tammann, _zeitschr. anorgan. chem._, , . . [ ] see p. , footnote. [ ] _pogg. annalen_, , . . [ ] barus, _amer. jour. sci._, , . ; mack, _compt. rend._, , . ; hulett, _zeitschr. physikal. chem._, , . . [ ] _annalen der physik_, [ ], . , ; [ ], . ; . ; . . see also tammann, _kristallisieren und schmelzen_ (leipzig, ). [ ] ostwald, _lehrbuch_, ii. . ; poynting, _phil. mag._, [ ], . ; planck, _wied. annalen_, , . . [ ] bakhuis roozeboom, _das heterogene gleichgewicht_, i. p. . [ ] lussana, _il nuovo cimento_, [ ], . . [ ] tammann, _zeitschr. physikal. chem._, , . . [ ] foote, _zeitschr. physikal. chem._, , . . [ ] ostwald, _zeitschr. physikal. chem._, , . . [ ] van't hoff, _arch, néer._, , . . [ ] see, for example, the determinations of the solubility of rhombic and monoclinic sulphur, by j. meyer, _zeitschr. anorg. chem._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] kastle and reed, _amer. chem. jour._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] _compt. rend._, , . ; , . , , . [ ] _zeitschr. physikal. chem._, , . . [ ] _sitzungsber. wiener akad._, , . iia. . [ ] _zeitschr. physikal. chem._, - . see also küster, _ibid._, - . [ ] _zeitschr. physikal. chem._, , . . [ ] _ibid._, , . . [ ] see w. guertler, _zeitschr. anorgan. chem._, , . ; tammann, _zeitschr. elektrochem._, , . . [ ] e. von pickardt, _zeitschr. physikal. chem._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] m. padoa, _accad. lincei, atti_, , . . [ ] deville, _compt. rend._, , . ; payen, _ibid._, , . ; debray, _ibid._, , . . it has also been found by jaffé (_zeitschr. physikal. chem._, , . ) that when spontaneous crystallization from solution occurs, the less stable form always separates first when purification has been carried sufficiently far. [ ] brauns, _neues jahrbuch für mineralogie_, , . (beilage band) . [ ] _lehrbuch_, ii. . . see also _principles of inorganic chemistry_, nd edit., p. ff. [ ] schaum and schönbeck, _annalen der physik_, [ ], . . see also chr. füchtbauer, _zeitschr. physikal. chem._, , . . [ ] ramsay and young, _phil. trans._, , . . [ ] see volume in this series on _chemical dynamics_, by dr. j. w. mellor. [ ] isambert, _compt. rend._, , . ; , . ; , . . walker and lumsden, _jour. chem. soc._, , . . [ ] _compt. rend._, , . . [ ] _compt. rend._, , . . [ ] _compt. rend._, , , . [ ] horstmann, _ber._, , . . [ ] _loc. cit._ [ ] for the reasons for choosing anhydrous salt and water instead of salt hydrate and water as components, see p. . [ ] see ostwald, _lehrbuch_, ii. . . [ ] ostwald, _lehrbuch_, ii. . . [ ] _zeitschr. physikal. chem._, , . . [ ] _ber._, , . . [ ] see, for example, van't hoff, _lectures on theoretical and physical chemistry_, i. p. (arnold). [ ] _jour. chem. soc._, , . . [ ] hoitsema, _zeitschr. physikal. chem._, , . . [ ] _zeitschr. physikal. chem._, , . ; , . . [ ] it is important to powder the salt, since otherwise the dehydration of the hydrate and the production of equilibrium occurs with comparatively great tardiness. [ ] a chemical individual is a substance which persists as a phase of constant composition when the conditions of temperature, pressure, and composition of the other phases present, undergo continuous alteration within certain limits--the limits of existence of the substance (wald, _zeitschr. physikal. chem._, , . ). [ ] van't hoff, _zeitschr. physikal. chem._, , . ; ostwald, _lehrbuch_, i. . [ ] that mercury does dissolve in water can be argued from analogy, say, with mercury and bromonaphthalene. at the ordinary temperature these two liquids appear to be quite insoluble in one another, but at a temperature of ° the mercury dissolves in appreciable quantity; for on heating a tube containing bromonaphthalene over mercury the latter sublimes _through_ the liquid bromonaphthalene and condenses on the upper surface of the tube. [ ] _phil. mag._, , [ ], . ; . [ ] _wied. annalen_, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] rothmund, _loc. cit._ [ ] rothmund, _loc. cit._ [ ] a similar behaviour is found in the case of diethylamine and water (r. t. lattey, _phil. mag._, , [ ], , ). [ ] c. s. hudson, _zeitschr. physikal. chem._, , . . [ ] konowaloff, _wied. annalen_, , . . ostwald, _lehrbuch_, ii. . . bancroft, _phase rule_, p. . [ ] konowaloff, _loc. cit._ [ ] roozeboom, _zeitschr. physikal. chem._, , . ; _rec. trav. chim. pays-bas_, , . . [ ] konowaloff, _loc. cit._ cf. bancroft, _phase rule_, p. . [ ] _phil. mag._, [ ], . . [ ] see, for example, walker, _introduction to physical chemistry_, rd edit., p. (macmillan, ). consult also young, _fractional distillation_ (macmillan, ), or kuenen, _verdampfung und verflüssigung von gemischen_ (barth, ), where the subject is fully treated. [ ] since this is the only phase of variable composition present. [ ] e. von stackelberg, _zeitschr. physikal. chem._, , . . if the change of volume which accompanies solution, and the heat effect are known, the quantitative change of the solubility with the pressure can be calculated (braun, _zeitschr. physikal. chem._, , . ). [ ] van't hoff, _arch. néerland._ [ ], . . [ ] tilden and shenstone, _phil. trans._ , . ; hulett and allen, _jour. amer. chem. soc._ , . ; andreä, _jour. prak. chem._ . ; lumsden, _jour. chem. soc._, , . ; mylius and v. wrochem, _ber._ , . . [ ] e. von stackelberg, _zeitschr. physikal. chem._ , . ; , . ; lumsden, _jour. chem. soc._, , . ; holsboer, _zeitschr. physikal. chem._, , . . [ ] reicher and van deventer, _zeitschr. physikal. chem._ , . ; cf. ostwald, _lehrbuch_, ii. . . [ ] it has been shown that the formula of ramsay and young (p. ) can be applied (with certain restrictions) to the interpolation and extrapolation of the solubility curve of a substance provided two (or three) points on the curve are known. in this case t, t_{ }, etc., refer to the temperatures at which the two substances--one the solubility curve of which is known, the other the solubility curve of which is to be calculated--have equal solubilities, instead of, as in the previous case, equal vapour pressures. (findlay, _proc. roy. soc._, , . ; _zeitschr. physikal. chem._, , . .) [ ] w. müller and p. kaufmann, _zeitschr. physikal. chem._ , . . [ ] w. o. rabe, _zeitschr. physikal. chem._, , . . [ ] with regard to the limits of supersaturation and the spontaneous crystallization of the solute from supersaturated solutions, see jaffé, _zeitschr. physikal. chem._, , . , and the very interesting paper by miers and isaac, _trans. chem. soc._, , . . [ ] _annales chim. phys._, [ ], . . [ ] _phil. trans._, , . . [ ] hissink, _zeitschr. physikal. chem._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] guthrie, _phil. mag._, , [ ], . ; , [ ], . . [ ] see roloff, _zeitschr. physikal. chem._, , . ; guthrie, _loc. cit._ [ ] guthrie, _phil. mag._, _loc. cit._ cf. ostwald, _lehrbuch_, ii. . . [ ] guthrie, _phil. mag._, [ ], . . [ ] _ber._, , . . [ ] _silz-ber. wien. akad._, , . ii. . [ ] guthrie, _phil. mag._, [ ], . . [ ] if in the neighbourhood of the cryohydric point solution should be accompanied by an evolution of heat, then as the solubility would in that case increase with fall of temperature, salt would pass into solution. [ ] walker, _zeitschr. physikal. chem._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] provided the solid nitrile is not present in too great excess. [ ] _wied. annalen_, , . . cf. ostwald, _lehrbuch_, ii. . . [ ] walker, _zeitschr. physikal. chem._, , . . schreinemakers, _ibid._, , . . roozeboom, _rec. trav. chim. pays-bays_, , . . bruner, _zeitschr. physikal. chem._, , . . [ ] van't hoff, _lectures on theoretical chemistry_, i. p. . ostwald, _lehrbuch_, ii. . . [ ] ostwald, _principles of inorganic chemistry_, translated by a. findlay, nd edit., p. (macmillan, ); skirrow and calvert, _zeitschr. physikal. chem._, , . . [ ] _vide_ loewel, _annales chim. phys._, [ ], . . cf. löwenherz, _zeitschr. physikal. chem._, , . . [ ] loewel, _loc. cit._ gay-lussac, _annales chim. phys._, , . . for the solubility at higher temperatures, see tilden and shenstone, _phil. trans._, , . . Ã�tard, _annales chim. phys._, [ ], . . [ ] richards, _zeitschr. physikal. chem._, , . ; richards and wells, _ibid._, , . . this temperature is not quite the same as that of the _quadruple point_ anhydrous salt--hydrated salt--solution--vapour, because the latter is the temperature at which the system is under the pressure of its own vapour. since, however, the influence of pressure on the solubility is very slight (p. ), the position of the two points will not be greatly different. the quadruple point was found by cohen (_zeitschr. physikal. chem._, , . ) to be . ° and . mm. of mercury. [ ] van't hoff and van deventer, _zeitschr. physikal. chem._, , . . cf. cohen, _ibid._, , . . [ ] debray, _compt. rend._, , . . [ ] richards, _zeitschr. physikal. chem._, , . . a number of other salt hydrates, having transition-points ranging from ° to °, which might be used for the same purpose, have been given by richards and churchill, _ibid._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] van't hoff, _lectures on physical chemistry_, i. p. . [ ] cohen, _zeitschr. physikal. chem._, , . . [ ] ziz, _schweigger's journal_, , . . see ostwald, _lehrbuch_, ii. . . [ ] see, for example, the solubility determinations published in _wissenschaftliche abhandl. der physikalisch-technischen reichsanstalt_, vol. iii., or in the _berichte_, for the years - . [ ] meusser, _ber._, , . . [ ] mylius and von wrochem, _ber._, , . . [ ] walker and fyffe, _jour. chem. soc._, , . . [ ] _monatshefte_, , . . [ ] the equilibria between calcium chloride and water have been most completely studied by roozeboom (_zeitschr. physikal. chem._, , . ). [ ] hammerl, _sitzungsber. wien. akad._, ^{te} abteil, , . . roozeboom, _zeitschr. physikal. chem._, , . . [ ] lidbury, _zeitschr. physikal. chem._, , . . the curvature at the melting point is all the greater the more the compound is dissociated into its components in the liquid state. if the compound is _completely undissociated_, even in the vapour phase, the two branches of the curve will _intersect_, (_e.g._ pyridine and methyl iodide; aten, _versl. konink. akad. wetensch. amsterdam_, , . ). the smaller the degree of dissociation, therefore, the sharper will be the bend. (see stortenbeker, _zeitschr. physikal. chem._, , . .) from the extent of flattening of the curve, it is also possible, with some degree of approximation, to calculate the degree of dissociation of the substance in the fused state. (see roozeboom and aten, _zeitschr. physikal. chem._, , . ; kremann, _zeitschr. elektrochem._, , . .) [ ] see roozeboom, _zeitschr. physikal. chem._, , . . [ ] tammann, _wied. annalen_, , . . [ ] duhem, _journ. physical chem._, , . . [ ] gibbs, _trans. conn. acad._, . ; saurel, _journ. phys. chem._, , . . [ ] in the case of the fusion of a compound of two components with formation of a liquid phase of the same composition, the temperature is a maximum; in the case of liquid mixtures of constant boiling-point, the temperature may be a minimum (p. ). [ ] roozeboom, _zeitschr. physikal. chem._, , . . the formula of ferric chloride has been doubled, in order to avoid fractions in the expression of the water of crystallization. [ ] roozeboom, _zeitschr. physikal. chem._, , . . [ ] a similar series of hydrates is formed by zinc chloride and water (dietz and mylius, _zeitschr. anorg. chem._, , . ). [ ] meyerhoffer, _ber._, , . . [ ] walden, _ber._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] this composition was also confirmed by measurements of the vapour pressure (cf. p. ). [ ] since all substances are no doubt volatile to a certain extent at some temperature, it is to be understood here that the substances are appreciably volatile at the temperature of the experiment. [ ] for a general discussion of the partial pressures in a system of two components, see bancroft, _journ. physical chem._, , . . [ ] _zeitschr. physikal. chem._, , . ; _rec. trav. chim. pays-bas_, , . . [ ] the composition of a solution is represented symbolically by placing a double wavy line between the symbols of the components, and indicating the number of atoms present in the ordinary manner: thus, i [wavy] cl_{_x_} represents a solution containing _x_ atoms of chlorine to one atom of iodine (roozeboom, _zeitschr. physikal. chem._, , . ). [ ] since iodine monochloride in the liquid state is only very slightly dissociated, the bend at c is very sharp (see p. , footnote). see also the investigation of the system pyridine and methyl iodide (aten, _versl. konink. akad. wetensch. amsterdam_, , . ). [ ] this upper branch of the curve is not shown in the figure, as the ordinate corresponding to ° would be very great. [ ] stortenbeker, _zeitschr. physikal. chem._, , . . [ ] ramsay and young, _journ. chem. soc._, , . . [ ] van't hoff, _lectures on physical chemistry_, i. p. (arnold). [ ] this is different from what we found in the case of non-volatile solutes (p. ). in the present case, the _partial pressure_ of the iodine in the vapour will be lowered by addition of chlorine, but the _total pressure_ is increased. [ ] the diminution of volume is supposed to be carried out at constant temperature. the pressure and the composition of the phases must, therefore, remain unchanged, and only the relative amounts of these can undergo alteration. [ ] at point _b_ the ratio of chlorine to iodine in the solution is less than in the monochloride, so that by the separation of this the excess of chlorine yielded by the condensation of the vapour is removed. [ ] roozeboom, _rec. trav. chim. pays-bas_, , . ; , . ; _zeitschr. physikal. chem._, , . . [ ] two curves "enclose" a field when they form with one another an angle less than two right angles. [ ] roozeboom, _zeitschr. physikal. chem._, _loc. cit._ [ ] van't hoff, _zeitschr. physikal. chem._, , . . [ ] bancroft has proposed to restrict the term "occlusion" to the formation of solid solutions, and to apply "adsorption" only to effects which are primarily due to surface tension. such a distinction, however, would probably be very difficult to carry through, for although adsorption may, in large measure, be due to surface tension, the behaviour of adsorbed substances is similar to that of substances existing in solid solutions. [ ] tammann, _wied. annalen_, , . ; _zeitschr. physikal. chem._, , . . [ ] see, for example, chappuis, _wied. annalen_, , . ; joulin, _annal. chim. phys._, , [ ], . ; kayser, _wied. annalen_, , . . [ ] hoitsema, _zeitschr. physikal. chem._, , . . [ ] _annales chim. phys._, , [ ], . . [ ] hoitsema, _zeitschr. physikal. chem._, , . ; dewar, _phil. mag._, , [ ], , , ; mond, ramsay and shields, _proc. royal soc._, , . . [ ] _loc. cit._ [ ] it is noteworthy that the form of curve obtained for hydrogen and palladium bears a striking resemblance to that for the dehydration of colloids containing absorbed water, _e.g._ silicic acid (_vide_ van bemmelen, _zeitschr. anorg. chem._, - . cf. zacharias, _zeitschr. physikal. chem._, , . ). [ ] _zeitschr. physikal. chem._, , . . [ ] küster, _zeitschr. physikal. chem._, , . . bodländer, _neues jahrbuch f. mineralogie_, - , beilage band, . . [ ] bruni and padoa, _atti accad. lincei_, [ ], . ; . [ ] roozeboom, _zeitschr. physikal. chem._, , . ; bruni, _rend. accad. lincei_, , . , . for a general account of "solid solutions" the reader is referred to bruni, "_ueber feste lösungen_" (ahrens'sche sammlung), and to bodländer, _loc. cit._ for the formation and transformation of liquid mixed crystals, see a. c. de kock, _zeitschr. physikal. chem._, , . . [ ] in discussing the various systems which may be obtained here, roozeboom (_loc. cit._) made use of the variation of the thermodynamic potential (p. ) with the concentration. in spite of the advantages which such a treatment affords, the temperature-concentration diagram has been adopted as being more readily understood and as more suitable for an elementary discussion of the subject. [ ] these curves are also called the "liquidus" and the "solidus" curve respectively. [ ] küster, _zeitschr. physikal. chem._, , . . [ ] küster, _ibid._, , . . [ ] it should be remarked that the behaviour described here will hold strictly only when the solid mixed crystals undergo change sufficiently rapidly to be always in equilibrium with the liquid. this, however, is not always the case (see reinders, _zeitschr. physikal. chem._, , . ; van wyk, _zeitschr. anorg. chem._, , . ), and complete solidification will not in this case take place at the temperature corresponding with the line _dc_ in fig. , but only at a lower temperature. [ ] adriani, _zeitschr. physikal. chem._, , . . [ ] reinders, _zeitschr. physikal. chem._, , . . [ ] hissink, _zeitschr. physikal. chem._, , . . [ ] van eyk, _zeitschr. physikal. chem._, , . . [ ] cady, _journ. physical. chem._, , . . [ ] see roberts-austen and stansfield, _rapports du congrès international de physique_, , i. . [ ] heycock and neville, _proc. roy. soc._, , . . for the partial liquefaction of mixed crystals on cooling, see also a. c. de kock (_zeitschr. physikal. chem._, , . ). [ ] armstrong, _watt's dictionary of chemistry_ (morley and muir), iii., p. . see also lowry, _jour. chem. soc._, , . . [ ] see bancroft, _journ. physical chem._, , . ; roozeboom, _zeitschr. physikal. chem._, , . . [ ] hylotropic substances are such as can undergo transformation into other substances of the same composition (ostwald, _lehrbuch_, ii. . ). [ ] also called equilibrium point (lowry). [ ] for a discussion of these systems, see roozeboom, _zeitschr. physikal. chem._, _loc. cit_. [ ] see bancroft, _loc. cit._, p. ; wegscheider, _sitzungsber. wiener akad._, , . . [ ] reference may be made here to the term "stability limit," introduced by knorr (_annalen_, , . ) to indicate that temperature above which liquefaction and isomeric change takes place. as employed by knorr and others, the term does not appear to have a very precise meaning, since it is used to denote, not the temperature at which these changes can occur, but the temperature at which the change is rapid (vide _annalen_, , . ; , . ); and the introduction of an indefinite velocity of change renders the temperature of the stability limit also somewhat indefinite. the definiteness of the term is also not a little diminished by the fact that the "limit" can be altered by means of catalytic agents. since, as we have seen, the stable modification can always undergo isomeric change and liquefy at temperatures above the natural freezing point, but not below that point; and, further, the less stable modification can undergo isomeric transformation and liquefy at temperatures above the eutectic point, but will not liquefy at temperatures below that; it seems to the author that it would be more precise to identify these two points--the natural freezing point and the eutectic point--which are not altered by catalytic agents, with the "stability limits" of the stable and unstable modification respectively. a perfectly definite meaning would thereby be given to the term. in the case of those substances which do not undergo appreciable isomeric change at the temperature of the melting point, the stability limits would be the points g and h, fig. . [ ] cameron, _journ. physical chem._, , . . [ ] carveth, _journ. phys. chem._, , . . see also dutoit and fath, _journ. chim. phys_., , . ; findlay, _trans. chem. soc._, , . . [ ] hollmann, _zeitschr. physikal. chem._, , . . [ ] for other examples of the application of the phase rule to isomeric substances, see _journ. physical chem._, vols. . _et seq._; findlay, _trans. chem. soc._, , . . [ ] see roozeboom, _zeitschr. physikal. chem._, , . . [ ] see also saposchnikoff, _zeitschr. physikal. chem._, . ; kremann, _monatshefte_, , . , , . [ ] j. c. philip, _journ. chem. soc._, , . . [ ] _cf._ also paterno and ampolla, _gazzetta chim. ital._, , . . [ ] philip, _loc. cit._, p. . [ ] philip, _loc. cit._, p. . compare curves for iodine monochloride, fig. , p. . [ ] kuriloff, _zeitschr. physikal. chem._, , . . [ ] ladenburg, _ber._, , . ; . [ ] roozeboom, _zeitschr. physikal. chem._, , . ; adriani, _ibid._, , . . [ ] adriani, _zeitschr. physikal. chem._, , . . [ ] a. findlay and miss e. hickmans. [ ] kipping and pope, _journ. chem. soc._, , . . [ ] see roozeboom, _zeitschr. physikal. chem._, , . ; adriani, _ibid._, , . ; , . . [ ] in this connection reference should be made more especially to the paper by roberts-austen and stansfield, "sur la constitution des alliages métalliques," in the _rapports du congrès international de physique_, , i. ; j. a. mathews, _journ. of the franklin inst._, ; gautier, _compt. rend._, , . ; roberts-austen, "reports of the alloys research committee," in _journ. inst. mechan. engineers_, from to ; and the papers by heycock and neville, published in the _journ. chem. soc._, and the _trans. roy. soc._ since ; also neville, _reports of the british association_, , p. . reference must also be made to the important metallographic investigations by tammann and his pupils, and of kurnakoff (_zeitschr. anorgan. chem._, vol. and onwards), and also to those of shepherd, _journ. physical chem._, . a bibliography of the alloys is given in _zeitschr. anorgan. chem._, , . . [ ] kurnakoff and puschin, _zeitschr. anorgan. chem._, , . . [ ] gautier, _bull. soc. d'encouragement_, [ ], . . [ ] heycock and neville, _phil. trans._, , . . [ ] gautier, _loc. cit._ see also roberts-austen and rose, _proc. roy. soc._, , . . [ ] heycock and neville, _journ. chem. soc._, , . . [ ] see roberts-austen, _introduction to metallurgy_, th edit., p. ; bakhuis roozeboom, _journ. iron and steel inst._, , ii. ; _zeitschr. physikal. chem._, , . ; von jüptner, _siderology_, p. (translation by c. salter); van't hoff, _zinn, gips, und stahl_, p. , or _acht vorträge über physikalische chemie_, p. . further, roozeboom, _zeitschr. elektrochem._, , . ; e. heyn, _ibid._, p. ; carpenter and keeling, _journ. iron and steel inst._, , . . [ ] the melting point of pure iron is given by carpenter and keeling (_journ. iron and steel inst._, , . ) as °. [ ] _zeitschr. für elektrochem._, , . . [ ] see also hiorns, _journ. soc. chem. ind._, , . . [ ] bancroft, _jour. physical chem._, , . ; bell and taber, _ibid._, , . . [ ] the method to be followed when the third component enters into the solid phase will be explained later. [ ] tammann, _zeitschr. anorg. chem._, , . ; , . . reference may be made here to the registering pyrometer of kurnakoff, _zeitschr. anorg. chem._, , . . [ ] in this connection, see doelter, _physikalisch-chemisch mineralogie_ (barth, ); meyerhoffer, _zeitschr. f. kristallographie_, , . ; guthrie, _phil. mag._, [ ], . ; le chatelier, _compt. rend._, , . ; and especially e. baur, _zeitschr. physikal. chem._, , . ; j. h. l. vogt, _zeitschr. elektrochem._, , . , and _die silikatschmelzlösungen_, parts i. and ii. (christiania, , ). see also n. v. kultascheff, _zeitschr. anorg. chem._, , . . [ ] g. g. stokes, _proc. roy. soc._, , . ; gibbs, _trans. conn. acad._, , . ; roozeboom, _zeitschr. physikal. chem._, , . . [ ] this figure has been taken from ostwald's _lehrbuch_, ii. . . [ ] roozeboom, _zeitschr. physikal. chem._, , . . [ ] c. r. a. wright, _proc. roy. soc._, , . ; , . . [ ] the distribution coefficient will not remain constant because, apart from other reasons, the mutual solubility of chloroform and water is altered by the addition of the acid. [ ] bancroft, _physical review_, , . ; schreinemakers, _zeitschr. physikal. chem._, , . , and subsequent volumes. [ ] c. r. a. wright, _proc. roy. soc._, - . [ ] c. r. a. wright, _proc. roy. soc._, , . . [ ] bodländer, _berg- und hüttenmänn. ztg._, , . . [ ] c. r. a. wright, _proc. roy. soc._, _loc. cit._ [ ] schreinemakers, _zeitschr. physikal. chem._, , . . [ ] schreinemakers, _zeitschr. physikal. chem._, , . . [ ] schreinemakers, _zeitschr. physikal. chem._, , . . [ ] schreinemakers, _zeitschr. physikal. chem._, , . . [ ] charpy, _compt. rend._, , . . compare the curves for the system kno_{ }--nano_{ }--lino_{ } (h. r. carveth, _journ. physical chem._, , . ). also alloys of pb--sn--bi (e. s. shepherd, _journ. physical chem._, , . ). [ ] it should be remembered that in the triangular diagram a _line_ parallel to one of the sides indicates, at a given temperature, a constant amount of the component represented by the opposite corner of the triangle; and, hence, points in a _plane_, parallel to one face of a right prism, will indicate for different temperatures, variation in the amounts of two components, but constancy in the amount of the third. [ ] _gazzetta chim. ital._, , . ii. . [ ] bruni, _gazzetta chim. ital._, , . ii. ; , . i. . [ ] _zeitschr. physikal. chem._, , . . [ ] for a discussion of these systems, see van't hoff, _bildung und spaltung von doppelsalzen_ (leipzig, ). [ ] van leeuwen, _zeitschr. physikal. chem._, , . . [ ] meyerhoffer, _zeitschr. physikal. chem._, , . ; , . . [ ] reicher, _zeitschr. physikal. chem._, , . . [ ] for other examples of the formation and decomposition of double salts at a transition point, the reader is referred to the work by van't hoff, already cited, on the _bildung und spaltung von doppelsalzen_; or to bancroft, _phase rule_, p. . [ ] bancroft, _phase rule_, p. . [ ] roozeboom, _zeitschr. physikal. chem._, , . . [ ] the influence of pressure on the transition point in the case of tachydrite has been determined by van't hoff, kenrick, and dawson (_zeitschr. physikal. chem._, , . , ; van't hoff, _zur bildung der ozeanischen salzablagerungen_, i. p. --brunswick, ). this salt is formed from magnesium chloride and calcium chloride at °, in accordance with the equation-- mgcl_{ }. h_{ }o + cacl_{ }. h_{ }o = mg_{ }cacl_{ }. h_{ }o + h_{ }o increase of pressure raises the transition point, because the formation of tachydrite is accompanied by increase of volume; the elevation being . ° for an increase of pressure of atm. the number calculated from the theoretical formula (p. ) is . ° for atm. if one calculates the influence of the pressure of sea-water on the temperature of formation of tachydrite (which is of interest on account of the natural occurrence of this salt), it is found that a depth of water of metres, exerting a pressure of atm., would alter the temperature of formation of tachydrite by only °. the effect is, therefore, comparatively unimportant. [ ] roozeboom, _zeitschr. physical. chem._, , . . [ ] _zeitschr. physical. chem._, , . . [ ] van't hoff and müller, _ber._, , . . [ ] van't hoff and van deventer, _zeitschr. physikal. chem._, , . . [ ] for a full discussion of the solubility relations of sodium ammonium racemate, see van't hoff, _bildung und spaltung von doppelsalzen_, p. . [ ] _annales chim. phys._, [ ], . . [ ] see van't hoff and van deventer, _zeitschr. phys. chem._, , . . [ ] meyerhoffer, _zeitschr. physikal. chem._, , . . [ ] roozeboom, _zeitschr. physikal. chem._, , . . [ ] meyerhoffer, _zeitschr. physikal. chem._, , . . on the importance of the transition interval in the case of optically active substances, see meyerhoffer, _ber._, , . . [ ] in connection with this chapter, see, more especially, van't hoff, _bildung und spaltung von doppelsalzen_, p. , _ff._; roozeboom, _zeitschr. physikal chem._, , . ; bancroft, _phase rule_, p. ; . [ ] the same restriction must be made here as was imposed in the preceding chapter, namely, that the two salts in solution give a common ion. [ ] for example, addition of ammonium chloride to solutions of ferric chloride (roozeboom, _zeitschr. physikal. chem._, , . ). [ ] it must, of course, be understood that the temperature is on that side of the transition point on which the double salt is stable. [ ] excess of the double salt must be taken, because otherwise an unsaturated solution might be formed, and this would, of course, not deposit any salt. [ ] meyerhoffer, _ber._, , . . [ ] meyerhoffer, _ber._, , . . [ ] meyerhoffer, _ber._, , . . [ ] bancroft, _phase rule_, p. ; roozeboom, _zeitschr. physikal. chem._, , . , ; stortenbeker, _ibid._, , . ; , . ; , . . [ ] roozeboom, _zeitschr. phys. chem._, , . ; _ber._, , . . [ ] as, for instance, strychnine racemate, a compound of racemic acid with the _optically active_ strychnine. this would be resolved into strychnine _d_-tartrate and strychnine _l_-tartrate, which are not enantiomorphous forms. [ ] van't hoff and meyerhoffer, _zeitschr. physikal chem._, , . ; , . . fig. is taken from the latter paper. [ ] solid models constructed of plaster of paris can be obtained from max kaehler and martini, berlin. [ ] instead of the present method of obtaining potassium chloride by decomposing carnallite with water, advantage might be taken of the fact that carnallite when heated to ° undergoes decomposition with separation of three-fourths of the potassium chloride (van't hoff, _acht vorträge über physikalische chemie_, , p. ). [ ] roozeboom and schreinemakers, _zeitschr. physikal. chem._, , . . [ ] these curves represent only portions of the isotherms, since the systems in which a ternary solution is in equilibrium with solid hydrogen chloride or a hydrate, have not been investigated. [ ] the numbers printed beside the points on the curves refer to the number of the experiment in the original paper. [ ] lash, miller and kenrick, _journ. physical. chem._, , . ; allan, _amer. chem. journ._, , . . [ ] allan, _amer. chem. journ._, , . . [ ] hoitsema, _zeitschr. physikal. chem._, , . ; allan, _loc. cit._ [ ] rutten, _zeitschr. anorgan. chem._, , . . compare the system beo--so_{ }--h_{ }o; parsons, _zeitschr. anorgan. chem._, , . . [ ] _zeitschr. anorgan. chem._, , . . [ ] schreinemakers, _zeitschr. physikal. chem._, , . ; bancroft, _journ. physical chem._, , . . [ ] _zeitschr. anorgan. chem._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] these equilibria were obtained by boudouard, _annales chim. phys._, [ ], . . see also hahn, _zeitschr. physikal. chem._, , . ; . . [ ] g. preuner, _zeitschr. physikal. chem._, , . . [ ] see hahn, _zeitschr. physikal. chem._, , . ; . ; boudouard, _bull. soc. chim._, [ ], . ; bodländer, _zeitschr. f. elektrochem._, , . ; r. schenck and zimmermann, _ber._, , . , ; schenck and heller, _ibid._, , . ; _zeitschr. f. elektrochem._, , . ; haber, _thermodynamik technischer gasreaktionen_, p. (munich, ). [ ] a very useful summary of the investigations carried out by van't hoff and his pupils on the formation of the stassfurt salt-beds is given by e. f. armstrong, in the _reports of the british association for _, p. . see also van't hoff, _zur bildung der ozeanischen salzablagerungen_ (brunswick, ). [ ] see especially meyerhoffer, _silzungsber. wien. akad._, , . ii. _b_, ; meyerhoffer and saunders, _zeitschr. physikal. chem._, , . ; . . the investigation of the equilibria between reciprocal salt-pairs alone (three-component systems) is of great importance for the artificial preparations of minerals, as also in analytical chemistry for the proper understanding of the methods of conversion of insoluble systems into soluble by fusion (see meyerhoffer, _zeitschr. physikal. chem._, , . ). [ ] see meyerhoffer, _zeitschr. physikal. chem._, , . . [ ] compare the reciprocal salt-pair nacl--nh_{ }hco_{ } (p. ). in this case the upper limit of the transition interval was found by extrapolation of the solubility curve for nahco_{ } + nh_{ }cl + nh_{ }hco_{ } and nahco_{ } + nh_{ }cl + nacl to be ° (fedotieff, _zeitschr. phys. chem._, , . ). [ ] löwenherz, _zeitschr. physikal. chem._, , . . [ ] meyerhoffer and saunders, _zeitschr. physikal. chem._, , . . [ ] as the quantities of the salts are expressed in _equivalent_ gram-molecules, the molecule of sodium and potassium chloride must be doubled in order to be equivalent to sodium sulphate and potassium sulphate. [ ] _sitz-ber. der kgl. preuss. akad. der wiss._, , p. . van't hoff, _zur bildung der ozeanischen salzablagerungen_, i. p. (brunswick, ). [ ] _zeitschr. für kristallographie_, , . . [ ] meyerhoffer and saunders, _zeitschr. physikal. chem._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] another commercial process, in the study of which good service is done by the phase rule, is the caustification of the alkali salts (g. bodländer, _zeitschr. für elektrochem._, , . ; j. herold, _ibid._, ). [ ] _zeitschr. physikal. chem._, , . . [ ] mention may also be made here of the equilibria between magnesium carbonate and potassium carbonate, although these do not form a reciprocal salt-pair (auerbach, _zeitschr. für elektrochem._, , . ). [ ] o. n. witt and k. ludwig, _ber._, , . ; meyerhoffer, _ibid._, , . , . [ ] _zeitschr. physikal. chem._, , . . compare also, _ibid._, , . . [ ] see schwarz, _beiträge zur kenntnis der umkehrbaren umwandlungen polymorpher korper_ (göttingen, ); or, roozeboom, _heterogen. gleichgewicht_, i. p. . also barnes and cooke, _journ. physical chem._, , . . [ ] van't hoff and van deventer, _zeitschr. physikal. chem._, , . . [ ] reicher, _zeitschr. für krystallographie_, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] _zeitschr. physikal. chem._, , . . [ ] meyerhoffer and saunders, _ibid._, p. . [ ] see van eyk, _zeitschr. physikal. chem._, , . . [ ] see in this connection the volume in this series on _electro-chemistry_, by dr. r. a. lehfeldt. [ ] barnes and cooke, _journ. physical chem._, , . . [ ] for a description and explanation of these, the reader should consult the volume in this series by dr. lehfeldt on _electro-chemistry_; and van't hoff, _bildung und spaltung von doppelsalzen_, p. _ff._ * * * * * changes made to the printed original. pages - . "fig. , p. .": 'p. ." in original. so also page , "fig. , p. ". page . "pp. and ": 'pp. and " in original. page . "p. .": 'p. " in original (twice). page . "there is the point c_{ }": c' in original. page . "c is an eutectic point": 'eutetic' in original. page . "although this view put forward by heyn": 'athough' in original. page . "the period of constant temperature for the eutectic point c": 'the eutectic point e' in original. page . "two liquid layers between ° and °": 'betwen' in original. page . tables entries and . "naphthol": 'napthol' in original. page . "from which the model is constructed": 'he model' in original. the complete art of making the chemical fulminating objects, _&c. &c. &c._ _entered at stationers' hall._ _the whole secret laid open_, or the complete art of making _the chemical_ fulminating objects, _such as the_ lace, or girt of security, _fulminating letters_, _balls_, _bombs_, garters, cards, spiders, segars, chairs, drawers, boots, shoes, &c. &c. fourth edition. london: published by j. johnston, , cheapside, for the author, , king-street, portman-square, and sold by all booksellers. address to the reader. that chemistry is one of the most sublime sciences is generally acknowledged; to it may be ascribed the brilliant discoveries lately made in the arts and sciences, and without whose aid the wonderful phenomena, which are the subject of the following pages, could never have been discovered. the author has for some time observed the wonder occasioned by the introduction of the chemical _fulminating objects_ to the public: they are indeed objects of wonder, and when it is considered how trifling a portion of matter it requires to produce effects so surprising, we cannot but hail that science as truly grand, which can create such rare productions, from what we daily handle, with such safety and unconcern, and without which we should be at a loss to carry on our intercourse in trade; i mean silver, which is the basis of all the objects presented to view. i have long seen with astonishment the manufacture of these objects, and the knowledge of that manufacture confined to very few persons, and i considered that it could not but be very much wished by all who had witnessed these astonishing productions, to acquire a true knowledge of how, and by what means, they were produced; i therefore examined them minutely, and having discovered their composition, i have given them to the public in an entire and perfect form, accompanied with patterns of the most difficult, and have enlarged them by several objects of my own invention. that they will be found an innocent amusement, as well as a safeguard, need not be doubted, and also tend to exemplify the astonishing powers of chemistry, the study of which i would earnestly recommend to all who have not studied that science, and to those who have, to continue it with a steady perseverance. it is a study in itself truly sublime, it is highly conducive to morality, and tends most materially to convince every wavering or doubting mind, that the world we inhabit, and all its necessaries, its conveniences, its luxuries, and its blessings, are the work of that divine author "who sees, with equal eye, as god of all, a hero perish, or a sparrow fall." _pope._ having said thus much, i can only assure my reader, that by adhering to the rules i have laid down in the following pages, they may enjoy a rational and innocent employment of time, and be able to inform learned enquirers the nature and properties of the objects of their leisure hours' amusement, and that it may inspire them with a thirst for nearer acquaintance with chemical truths, is the sincere wish of the author. _march , ._ _general_ observations. in pointing out the method of forming the fulminating objects i have endeavoured to be as explicit as possible; and i feel a confidence that every necessary information is here contained. the reason why i sometimes mention fulminating silver, and at others preface it by brugnatelli's, is, that there are two kinds: one sold under the name of fulminating silver, the other called brugnatelli's fulminating silver. the quantities here directed for each object must be strictly adhered to, as it is of too dangerous a nature to be increased in quantity, without the risk of accident. i must also beg great care will be observed in handling it, both before and after the objects are manufactured: with a trifling degree of caution, no accident can possibly occur; all that is required is to avoid heat and friction, as either in excess produces instant detonation. it is also necessary to guard against exploding the objects near the eyes; these precautions observed, no danger need be apprehended. the best place to purchase the principal materials are the undermentioned places: for the fulminating silver, and brugnatelli's ditto, is messrs. accum and garden, old compton-street, london, and every other manufacturing chemist; the glass globes, of all sizes, are to be had of f. pastorelli, barometer and thermometer manufacturer, no. , cross-street, hatton-garden, london. the spiders are to be had of most glass blowers--for the cards, &c. every one is aware where to apply. the glass composition is made as follows: take one ounce of gum arabic, and dissolve it in a quarter of a pint of water, boil it till tolerably thick, and then add as much coarse powdered glass as will form a very thick composition. n.b. when the glass composition cannot be conveniently obtained, glass paper may be used, pasted in the same way as directed for the composition. complete art, &c. the lace, _or girt of security_. the lace or girt is made of strong brace-web, after the manner and size of the paper pattern enclosed; the parts marked with ink are to be covered with the glass composition, to be laid on tolerably thick--say the thickness of a three shilling piece, and about an eighth of an inch broad in each place; let it remain until quite dry, and then sew it in like manner as the pattern, and from one to one grain and a half of fulminating silver to be enclosed in the part marked s; a piece of paper or silk well pasted on one side is then to be wrapped twice round in the same manner as the paper in the pattern is pinned; a strong lace-hole is then to be worked at each end--the manner of applying it is to hang it on two hooks, one on the door post, and the other on the door, taking care to place the part in such a position as to come in contact with the edge of the door, on its being opened, which will cause an immediate explosion louder than a musket. hooks may also be placed on windows or shutters, and the lace being hung on them will produce the same effect: a greater safeguard against midnight intruders has never been discovered. fulminating letters. the letter inclosed is a pattern of the manner in which they are put together, an examination of which will give the true idea to every attentive observer: a sheet of paper should be used doubled, and cut according to pattern; two slips of parchment must be used instead of those of paper, as enclosed in the pattern letter. the ends marked with ink must be slightly covered with glass composition, and about an eighth of an inch wide, they must then be laid separately to dry, and when quite dry they must be sewn at one edge as shewn in the pattern, you must then put one third of a grain of brugnatelli's fulminating silver in between the parts marked s, a piece of coloured paper or ribbon is then to be pasted well on one side, and wound twice round in the same way as the paper is now pinned round. the parchment slips thus prepared, must be pasted at each end for about an inch, and so fastened to the letter marked with a cross; the letter is then to be folded, and no further sealing is required. it must here be observed, that although the pattern is in miniature, the directions here given are intended for a common size letter; all that is required to make it so, being to use longer strips of parchment, taking care that the parchment is always as long as the letter is wide. this letter may be sent to any part of the world, and on its being opened will cause a report nearly as loud as a pistol: it is consequently well adapted to prove a never-failing source of amusement. _fulminating_ balls & bombs. the ball comprises a glass globe rather larger than a pea, having a small aperture, into which should be put from one third to half a grain of brugnatelli's fulminating silver: a piece of paper is then to be pasted carefully all over the ball, in order to cover the glass and prevent the escape of the silver.--the method of using the balls is to throw them down smartly, or to place one under the ball of the heel and tread hard upon it, which causes an explosion equal to a pistol and free from danger; the latter method of using them is generally preferred, and is assuredly the most certain. * * * * * a bomb consists of the same materials as a ball, only on a larger scale: the globe for a bomb is the size of a common nut, and the quantity of brugnatelli's fulminating silver is from one grain to one grain and a half, according to the report wished to be produced. the way of applying bombs is by throwing them down with violence, and it should here be remembered that this is the less exceptionable method of using them: they should on no occasion be used, without apprising the bye-standers, nor must they ever be pressed on by the foot; as the shock produced by the detonation would be rather too violent. fulminating spiders. the spider is formed after the manner of the common spider, it has a glass body, into which is put one third of a grain of fulminating silver. the manner of using: being formed in every respect so as to resemble the spider, they may be left on the ground, in closets, or on any article of wearing apparel, from whence they will consequently soon be dislodged, and from the natural antipathy towards this disagreeable insect, there can be no doubt of its being soon trod upon, when, to the no small surprise of the treader, a report equal to that of a pistol will be produced.--many persons apply them to ladies' dresses, but from the well-known delicacy of female nerves, it were better perhaps to abstain from this experiment. observe, the spiders cannot be exploded but by pressure, which is best done by the foot. fulminating cards & segars. the card is of the pattern herein enclosed; it must be opened at one end with a pen-knife, as here shewn, into which opening put one-fourth, or one-third of a grain at most, of fulminating silver; the edges are then to be pasted slightly, and closed together; a notch should also be cut at the other end, as in the pattern. when dry it will be complete for use. the manner of using, is to take it by the notched end, and light the square end at the candle, when a sharp detonation ensues.--the card should be three quarters of an inch wide, and from four to five inches in length. cards thus prepared, have long sold in paris under the denomination of "detonating cards." * * * * * the segar is made by just opening the end of a common segar, (which may be had at all tobacconists) and gently placing within it one-fourth of a grain of fulminating silver between the leaves, the end is then to be closed again, and care taken to close it, so as to prevent the powder falling out. this, on being set fire to, causes a loud explosion, and not a little disconcerts the nerves of the smoker; nor does it fail to move the risible features of the lookers-on. * * * * * the segar, when exploded, may be smoked with perfect safety. _fulminating pins._ take one third of a grain of brugnatelli's fulminating silver, and enclose in a very small fold of paper; this enclose in a second paper, which has been previously pasted, and then let it be wrapped or times round a common pin, observing to leave the point clear.--pins, thus prepared, may be stuck in the wick of the candle, in the candle itself, or thrown into the fire, and immediately on their taking fire a loud explosion will follow. observe, not to place them too near any person's eyes, least, on an explosion, the pins should be thrown out, which might prove unpleasant. _fulminating_ wax tapers. these tapers are prepared by taking off a small part of the wax, near the tip of the wick, and putting one-third of a grain of fulminating silver in the wick, then replace the wax, and on its taking fire, a loud detonation will be produced. fulminating garters. the garter is formed of common tape, or of the common worsted binding, which should not exceed the length and breadth of the enclosed pattern; the parts marked with ink are to be covered with the glass composition in the same manner as directed for the lace of security; suffer it to remain till quite dry, and then sew it together as in the pattern; half a grain of the fulminating silver is then to be placed between the parts marked s, and a piece of paper or ribbon, well pasted on one side, is to be wrapped twice round in the same way as directed for the lace. the manner of applying it is, to take one end in each hand, and by suddenly pulling it, a loud report will be given, equal to a large pistol.--this experiment may also be performed by offering one end to another person, and requesting them to pull against you, or by giving them the garter, and desiring them to use it as first directed. keep the garter below the eyes. _fulminating chairs_ are thus prepared: enclose half a grain of brugnatelli's fulminating silver in a piece of glass paper, and that should be again enclosed in a square piece of tinfoil; this doubled in a very small compass may be placed immediately under the foot of a chair, and the chair placed very lightly upon it, or pasting it would be much better; be careful to stand the chair down very gently: on any one's setting down on a chair so prepared, a loud detonation will follow.--this experiment is particularly innocent, and may be productive of much mirth. fulminating _drawers_. the preparation for the drawers is the same as used for the chairs: it should be pasted directly under the drawer, or on the side; if the drawer be left partly open, the effect will more certainly be produced: on the drawer being opened or shut, a loud explosion will be caused. this experiment is also perfectly harmless, and as there could be no suspicion of the trick, it cannot fail to prove the source of much amusement, to create great surprise, and to cause many whimsical conjectures as to the origin of the wonderful phenomenon. _fulminating_ snuffers. one fourth of a grain of fulminating silver is to be inclosed in a small piece of paper, and put inside the snuffers; on the snuffers being applied to the candle, a smart report will follow. be careful to notice, that the snuffers are quite cold when the paper is introduced, as the heat would cause it to explode sooner than might be thought agreeable. fulminating boots & shoes. these are prepared by enclosing half a grain of brugnatelli's fulminating silver in a fold of glass paper, and pasting it in the middle of a piece of court plaster; if the edges of the court plaster are then slightly wet, it will adhere, and must be placed in the middle of the heel of a boot or shoe, and by being pressed upon will detonate loudly. observe, it must be fastened on the outside of the heel. this experiment may be easily accomplished, while you are left alone, in any apartment where boots or shoes are kept, and would cause a tolerable degree of astonishment to the wearer, on his placing his foot to the ground. fulminating _pipe lights_. these lights are made by inserting one-third of a grain of fulminating silver, in one end of a piece of hemp-stalk, in the same way as directed for the segars. a piece of stout deal shaving might be used, prepared in the same manner as directed for the fulminating cards. be careful to notice, that, whatever is used, has some particular mark attached to it, so as to point out which end is to be lighted. _fulminating_ walking sticks. these may be made by inclosing half a grain of brugnatelli's fulminating silver in a small fold of glass paper, and putting it into a ferule, which ferule may be placed gently on the stick; and on its being applied to the ground, a loud explosion will take place. * * * * * a vast number of other fulminating objects might be prepared by the same means as here used, as it must have been observed, the silver detonates either by friction or heat. but great attention must be paid to the quantity of fulminating silver used, as very unpleasant consequences might arise from the use of too large a quantity; and on the other hand, no effect produced by too small a quantity; but from one fourth to half a grain will most commonly be found quite sufficient for those purposes that require handling; and here again let me impress it on the mind, how necessary it is to pay attention to the quantities i have here specified for each object: and let me request that it may in no one instance be exceeded. finis. _printed by t. hamblin, garlick hill, thames street._ the principles of chemistry by d. mendelÉeff translated from the russian (sixth edition) by george kamensky, a.r.s.m. of the imperial mint, st petersburg: member of the russian physico-chemical society edited by t. a. lawson, b.sc. ph.d. examiner in coal-tar products to the city and guilds of london institute fellow of the institute of chemistry in two volumes volume ii. longmans, green, and co paternoster row, london new york and bombay all rights reserved * * * * * table iii. _the periodic dependence of the composition of the simplest compounds and properties of the simple bodies upon the atomic weights of the elements._ +-------------------------+--------------------------------+ | | | |molecular composition of | | |the higher hydrogen and | atomic weights of the elements | |metallo-organic compounds| | |-------------------------+--------------------------------+ | | | | | | |e=ch_{ }, c_{ }h_{ }, &c.| | | | | | | | |[ ] [ ] [ ] [ ] | [ ] [ ] | | | | | hh| h , (mean) | | | li · (stas) | | | be · (nilson pettersson)| | be_{ } -- --| b · (ramsay ashton) | | ch_{ } c_{ }h_{ } | | | c_{ }h_{ } c_{ }h_{ } | c · (roscoe) | | nh_{ } n_{ }h_{ } --| n · (stas) | | oh_{ } --| o (conventional) | | fh| f · (christiansen) | | | | | nae| na · (stas) | | mge_{ } --| mg · (burton) | | ale_{ } -- --| al · (mallet) | |sih_{ } si_{ }e_{ } -- --| si · (thorpe young) | | ph_{ } p_{ }h_{ } --| p · (v. d. plaats) | | sh_{ } --| s · (stas) | | clh| cl · (stas) | | | | | | k · (stas) | | | ca · (dumas) | | | sc · (nilson) | | | ti · (thorpe) | | | v · (roscoe) | | | cr · (rawson) | | | mn · (marignac) | | | fe · (dumas) | | | co · (zimmermann) | | | ni · (winkler) | | | cu . (richards) | | zne_{ } --| zn · (marignac) | | gae_{ } -- --| ga · (boisbaudran) | | gee_{ } -- -- --| ge · (winkler) | | ash_{ } -- --| as · (dumas) | | seh_{ } --| se · [a] (pettersson) | | brh| br · (stas) | | | | | | rb · (godeffroy) | | | sr · (dumas) | | | y (clève) | | | zr · (bailey) | | | nb (marignac) | | | mo · (maas) | | | unknown metal | | | | | | ru · (joly) | | | rh · (seubert) | | | pd · (keller smith) | | | ag · (stas) | | cde_{ } --| cd · (lorimer smith) | | ine_{ } -- --| in · (winkler) | | sne_{ } -- -- --| sn · (classen) | | sbh_{ } -- --| sb · (schneider) | | teh_{ } --| te · (brauner) | | | | | | cs · (godeffroy) | | | ba · (richards) | | | la · (brauner) | | | ce · (brauner) | | | | | | ta · (marignac) | | | w · (waddel) | | | unknown element. | | | | | | ir · (joly) | | | pt · (dittmar mcarthur) | | | au · (mallet) | | hge_{ } --| hg · (erdmann mar.) | | tle_{ } -- --| tl · (crookes) | | pbe_{ } -- -- --| pb · (stas) | | bie_{ } -- --| bi · (classen) | | | five unknown elements. | | | th · (krüss nilson) | | | unknown element. | | | u · (zimmermann) | +-------------------------+--------------------------------+ +----------------------------------------------------------------------+ | | | | | composition of the saline compounds, x = cl | | | +----------------------------------------------------------------------+ | br, (no_{ }), / o, / (so_{ }), oh, (om) = z, where m = k, | | / ca, / al, &c. | |form rx rx_{ } rx_{ } rx_{ } rx_{ } rx_{ } rx_{ } rx_{ }| |oxi- r_{ }o ro r_{ }o_{ } ro_{ } r_{ }o_{ } ro_{ } r_{ }o_{ } ro_{ }| |des | | [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] | | | | x or h_{ }o | | ix | | -- bex_{ } | | -- -- bx_{ } | | | | -- co -- coz_{ } | | n_{ }o no noz no_ no_{ }z | | -- ox_{ } | | fz | | | | nax | | -- mgx_{ } | | -- -- alx_{ } | | -- -- -- sioz_{ } | | -- -- px_{ } -- poz_{ } | | -- sx_{ } -- soz_{ } -- so_{ }z_{ } | | clz -- cloz -- clo_{ }z -- clo_{ }z | | | | kx | | -- cax_{ } | | -- -- scx_{ } | | -- tix_{ } tix_{ } tix_{ } | | -- vo vox -- voz_{ } | | -- crx_{ } crx_{ } cro_{ } -- cro_{ }z_{ } | | -- mnx_{ } mnx_{ } mno_{ } -- mno_{ }z_{ } mno_{ }z | | -- fex_{ } fex_{ } -- -- feo_{ }z_{ } | | -- cox_{ } cox_{ } coo_{ } | | -- nix_{ } nix_{ } | | cux cux_{ } | | -- znx_{ } | | -- -- gax_{ } | | -- gex_{ } -- gex_{ } | | -- ass asx_{ } ass_{ } aso_{ }z | | -- -- -- seoz_{ } -- seo_{ }z_{ } | | brz -- broz -- bro_{ }z -- bro_{ }z | | | | rbx | | -- srx_{ } | | -- -- yx_{ } | | -- -- -- zrx_{ } | | -- -- nbx_{ } -- nbo_{ }z | | -- -- mox_{ } mox_{ } -- moo_{ }z_{ } | |(eka-manganese, em = ). emo_{ }z | | ruo_{ }| | -- rux_{ } rux_{ } rux_{ } -- ruo_{ }z_{ } ruo_{ }z | | -- rhx_{ } rhx_{ } rhx_{ } -- rho_{ }z_{ } | | pdx pdx_{ } -- pdx_{ } | | agx | | -- cdx_{ } | | -- inx_{ } inx_{ } | | -- snx_{ } -- snx_{ } | | -- -- sbx_{ } -- sbo_{ }z | | -- -- -- teoz_{ } -- teo_{ }z_{ } | | iz -- iz_{ } -- io_{ }z -- io_{ }z | | | | csx | | -- bax_{ } | | -- -- lax_{ } | | -- -- cex_{ } cex_{ } | | little known di = . and yb = . , and over unknown elements.| | -- -- -- -- tao_{ }z | | -- -- -- wx_{ } -- wo_{ }z_{ } | | | | oso_{ }| | -- -- osx_{ } osx_{ } -- oso_{ }z_{ } -- | | -- -- irx_{ } irx_{ } -- iro_{ }z_{ } | | -- ptx_{ } -- ptx_{ } | | aux -- aux_{ } | | hgx hgx_{ } | | tlx -- tlx_{ } | | -- pbx_{ } -- pboz_{ } | | -- -- bix_{ } -- bio_{ }z | | | | -- -- -- thx_{ } | | | | -- -- -- uo_{ } -- uo_{ }x_{ } uo_{ }| +----------------------------------------------------------------------+ +-------------------------+------------+---------+---------------------+ | | | lower | simple bodies | |molecular composition of | |hydrogen +-----+-------+-------| |the higher hydrogen and | peroxides | com- | sp. | sp. |melting| |metallo-organic compounds| | pounds | gr | vol. | point | |-------------------------+------------+---------+-----+-------+-------| | | | | | | | | | | | | | | |e=ch_{ }, c_{ }h_{ }, &c.| | | | | | | | | | | | | | | | | | | | |[ ] [ ] [ ] [ ] | [ ] | [ ] |[ ] | [ ] | [ ] | | | | | | | | | hh|h_{ }o_{ } | -- |* · | | - °?| | | -- | -- | · | · | ° | | | -- | beh | · | · | °?| | be_{ } -- --| -- | -- | · | · | , °?| | ch_{ } c_{ }h_{ } | | | | | | | c_{ }h_{ } c_{ }h_{ } |c_{ }o_{ }* | -- |* · | · | , °?| | nh_{ } n_{ }h_{ } --|n_{ }o_{ }* | n_{ }h |* · | | - ° | | oh_{ } --|o_{ } | -- |* · | | - °?| | fh| -- | -- |? · | | ? | | | | | | | | | nae|nao | na_{ }h | · | · | ° | | mge_{ } --| -- | mgh | · | | ° | | ale_{ } -- --| -- | -- | · | | ° | |sih_{ } si_{ }e_{ } -- --| -- | -- | · | | , °?| | ph_{ } p_{ }h_{ } --| -- | p_ h | · | | ° | | sh_{ } --|s_{ }o_{ } | -- | · | | ° | | clh| -- | -- |* · | | - ° | | | | | | | | | |ko_{ } | k_{ }h | · | | ° | | |cao_{ } | cah | · | | ° | | | -- | -- |? · | ? | , °?| | |tio_{ } | -- | · | | , °?| | | -- | -- | · | | , °?| | |cr_{ }o_{ } | -- | · | · | , °?| | | -- | -- | · | · | , ° | | | -- |fe_{n}h* | · | · | , ° | | | -- | -- | · | · | , ° | | | -- | ni_{n}h | · | · | , ° | | |cu_{ }o_{ }*| cuh | · | · | , ° | | zne_{ } --|zno_{ } | -- | · | · | ° | | gae_{ } -- --| -- | -- | · | · | ° | | gee_{ } -- -- --| -- | -- | · | · | ° | | ash_{ } -- --| -- |as_{ }h* | · | · | ° | | seh_{ } --| -- | -- | · | | ° | | brh| -- | -- | · | | - ° | | | | | | | | | |rbo |rb_{ }h* | · | | ° | | |sro_{ } | srh | · | | °?| | | -- | -- |* · | * | , °?| | | -- |zr_{ n}h*| · | | , °?| | | -- |nb_{n}h* | · | | , °?| | |mo_{ }o_{ } | -- | · | | , °?| | | -- | -- | -- | -- | -- | | | | | | | | | | -- |ru_{n}h* | · | · | , °?| | | -- |rh_{n}h* | · | · | , °?| | | -- | pd_{ }h | · | · | , ° | | |ago | -- | · | · | ° | | cde_{ } --|cdo_{ } | -- | · | | ° | | ine_{ } -- --| -- | -- | · | | ° | | sne_{ } -- -- --|sno_{ } | -- | · | | ° | | sbh_{ } -- --| -- | -- | · | | ° | | teh_{ } --| -- | -- | · | | ° | | ih| -- | -- | · | | ° | | | | | | | | | | -- |cs_{ }h* | · | | ° | | |bao_{ } | bah | · | | ? | | | -- | -- | · | | ? | | | -- | -- | · | | °?| | | | | | | | | | -- |ta_{n}h* | · | | ? | | |w_{ }o_{ } | -- | · | · | , ° | | | | | | | | | | | | | | | | | -- | -- | · | · | , °?| | | -- | ir_nh* | · | · | , ° | | | -- |pt_{n}h* | · | · | , ° | | | -- | -- | · | | , ° | | hge_{ } --| -- | -- | · | | - ° | | tle_{ } -- --| -- | -- | · | | ° | | pbe_{ } -- -- --| -- | -- | · | | ° | | bie_{ } -- --| -- | -- | · | | ° | | | | | | | | | | -- | -- | · | | ? | | | | | | | | | | -- | -- | · | | , °?| +-------------------------+------------+---------+-----+-------+-------+ [a] from analogy there is reason for thinking that the atomic weight of selenium is really slightly less than · . columns , , , and give the molecular composition of the hydrogen and metallo-organic compounds, exhibiting the most characteristic forms assumed by the elements. the first column contains only those which correspond to the form rx_{ }, the second column those of the form rx_{ }, the third of the form rx_{ }, and the fourth of the form rx, so that the periodicity stands out clearly (see column ). column contains the symbols of all the more or less well-known elements, placed according to the order of the magnitude of their atomic weights. column contains the atomic weights of the elements according to the most trustworthy determinations. the names of the investigators are given in parenthesis. the atomic weight of oxygen, taken as , forms the basis upon which these atomic weights were calculated. some of these have been recalculated by me on the basis of stas's most trustworthy data (_see_ chapter xxiv. and the numbers given by stas in the table, where they are taken according to van der plaats and thomsen's calculations). columns - contain the composition of the saline compounds of the elements, placed according to their forms, rx, rx_{ } to rx_{ } (in the ^{th} column). if the element r has a metallic character like h, li, be, &c., then x represents cl, no_{ }, / so_{ }, &c., haloid radicles, or (oh) if a perfect hydrate is formed (alkali, aqueous base), or / o, / s, &c. when an anhydrous oxide, sulphide, &c. is formed. for instance, nacl, mg(no_{ })_{ }, al_{ }(so_{ })_{ }, correspond to nax, mgx_{ }, and alx_{ }; so also na(oh), mg(oh)_{ }, al(oh)_{ }, na_{ }o, mgo, al_{ }o_{ }, &c. but if the element, like c or n, be of a metalloid or acid character, x must be regarded as (oh) in the formation of hydrates; (om) in the formation of salts, where m is the equivalent of a metal, / o in the formation of an anhydride, and cl in the formation of a chloranhydride; and in this case (_i.e._ in the acid compounds) z is put in the place of x; for example, the formulæ coz_{ }, no_{ }z, mno_{ }z, feo_{ }z_{ }, and iz_{ } correspond to co(nao)_{ } = na_{ }co_{ }, cocl_{ }, co_{ }, no_{ }(nao) = nano_{ }, no_{ }cl, no_{ }(oh) = hno_{ }; mno_{ }(ok) = kmno_{ }, icl, &c. the th column gives the compositions of the peroxides of the elements, _taking them as anhydrous_. an asterisk (*) is attached to those of which the composition has not been well established, and a dash (--) shows that for a given element no peroxides have yet been obtained. the peroxides contain more oxygen than the higher saline oxides of the same elements, are powerfully oxidising, and easily give peroxide of hydrogen. this latter circumstance necessitates their being referred to the type of peroxide of hydrogen, if bases and acids are referred to the type of water (see chapter xv., note and bis). the th column gives the composition of the lower hydrogen compounds like n_{ }h and na_{ }h. they may often be regarded as alloys of hydrogen, which is frequently disengaged by them at a comparatively moderate temperature. they differ greatly in their nature from the hydrogen compounds given in columns - (_see_ note ). column gives the specific gravity of the elements in a solid and a liquid state. an asterisk (*) is placed by those which can either only be assumed from analogy (for example, the sp. gr. of fluorine and hydrogen, which have not been obtained in a liquid state), or which vary very rapidly with a variation of temperature and pressure (like oxygen and nitrogen), or physical state (for instance, carbon in passing from the state of charcoal to graphite and diamond). but as the sp. gr. in general varies with the temperature, mechanical condition, &c., the figures given, although chosen from the most trustworthy sources, can only be regarded as approximate, and not as absolutely true. they clearly show a certain periodicity; for instance, the sp. gr. diminishes from al on both sides (al, mg, na, with decreasing atomic weight; and al, si, p, s, cl, with increasing atomic weight, it also diminishes on both sides from cu, ru, and os.) the same remarks refer to the figures in the th column, which gives the so-called atomic volumes of the simple bodies, or the quotient of their atomic weight and specific gravity. for na, k, rb, and cs the atomic volume is greatest among the neighbouring elements. for ni, pd, and os it is least, and this indicates the periodicity of this property of the simple bodies. the last ( th) column gives the melting points of the simple bodies. here also a periodicity is seen, i.e. a maximum and minimum value between which there are intermediate values, as we see, for instance, in the series cl, k, ca, sc, and ti, or in the series cr, mn, fe, co, ni, cu, zn, ga, and ge. * * * * * chapter xv the grouping of the elements and the periodic law it is seen from the examples given in the preceding chapters that the sum of the data concerning the chemical transformations proper to the elements (for instance, with respect to the formation of acids, salts, and other compounds having definite properties) is insufficient for accurately determining the relationship of the elements, inasmuch as this may be many-sided. thus, lithium and barium are in some respects analogous to sodium and potassium, and in others to magnesium and calcium. it is evident, therefore, that for a complete judgment it is necessary to have, not only qualitative, but also quantitative, exact and measurable, data. when a property can be measured it ceases to be vague, and becomes quantitative instead of merely qualitative. among these measurable properties of the elements, or of their corresponding compounds, are: (_a_) isomorphism, or the analogy of crystalline forms; and, connected with it, the power to form crystalline mixtures which are isomorphous; (_b_) the relation of the volumes of analogous compounds of the elements; (_c_) the composition of their saline compounds; and (_d_) the relation of the atomic weights of the elements. in this chapter we shall briefly consider these four aspects of the matter, which are exceedingly important for a natural and fruitful grouping of the elements, facilitating, not only a general acquaintance with them, but also their detailed study. historically the first, and an important and convincing, method for finding a relationship between the compounds of two different elements is by _isomorphism_. this conception was introduced into chemistry by mitscherlich (in ), who demonstrated that the corresponding salts of arsenic acid, h_{ }aso_{ }, and phosphoric acid, h_{ }po_{ }, crystallise with an equal quantity of water, show an exceedingly close resemblance in crystalline form (as regards the angles of their faces and axes), and are able to crystallise together from solutions, forming crystals containing a mixture of the isomorphous compounds. isomorphous substances are those which, with an equal number of atoms in their molecules, present an analogy in their chemical reactions, a close resemblance in their properties, and a similar or very nearly similar crystalline form: they often contain certain elements in common, from which it is to be concluded that the remaining elements (as in the preceding example of as and p) are analogous to each other. and inasmuch as crystalline forms are capable of exact measurement, the external form, or the relation of the molecules which causes their grouping into a crystalline form, is evidently as great a help in judging of the internal forces acting between the atoms as a comparison of reactions, vapour densities, and other like relations. we have already seen examples of this in the preceding pages.[ ] it will be sufficient to call to mind that the compounds of the alkali metals with the halogens rx, in a crystalline form, all belong to the cubic system and crystallise in octahedra or cubes--for example, sodium chloride, potassium chloride, potassium iodide, rubidium chloride, &c. the nitrates of rubidium and cæsium appear in anhydrous crystals of the same form as potassium nitrate. the carbonates of the metals of the alkaline earths are isomorphous with calcium carbonate--that is, they either appear in forms like calc spar or in the rhombic system in crystals analogous to aragonite.[ bis] furthermore, sodium nitrate crystallises in rhombohedra, closely resembling the rhombohedra of calc spar (calcium carbonate), caco_{ }, whilst potassium nitrate appears in the same form as aragonite, caco_{ }, and the number of atoms in both kinds of salts is the same: they all contain one atom of a metal (k, na, ca), one atom of a non-metal (c, n), and three atoms of oxygen. the analogy of form evidently coincides with an analogy of atomic composition. but, as we have learnt from the previous description of these salts, there is not any close resemblance in their properties. it is evident that calcium carbonate approaches more nearly to magnesium carbonate than to sodium nitrate, although their crystalline forms are all equally alike. isomorphous substances which are perfectly analogous to each other are not only characterised by a close resemblance of form (homeomorphism), but also by the faculty of entering into analogous reactions, which is not the case with rno_{ } and rco_{ }. the most important and direct method of recognising perfect isomorphism--that is, the absolute analogy of two compounds--is given by that property of analogous compounds of separating from solutions _in homogeneous crystals, containing the most varied proportions_ of the analogous substances which enter into their composition. these quantities do not seem to be in dependence on the molecular or atomic weights, and if they are governed by any laws they must be analogous to those which apply to indefinite chemical compounds.[ ] this will be clear from the following examples. potassium chloride and potassium nitrate are not isomorphous with each other, and are in an atomic sense composed in a different manner. if these salts be mixed in a solution and the solution be evaporated, independent crystals of the two salts will separate, each in that crystalline form which is proper to it. the crystals will not contain a mixture of the two salts. but if we mix the solutions of two isomorphous salts together, then, under certain circumstances, crystals will be obtained which contain both these substances. however, this cannot be taken as an absolute rule, for if we take a solution saturated at a high temperature with a mixture of potassium and sodium chlorides, then on evaporation sodium chloride only will separate, and on cooling only potassium chloride. the first will contain very little potassium chloride, and the latter very little sodium chloride.[ ] but if we take, for example, a mixture of solutions of magnesium sulphate and zinc sulphate, they cannot be separated from each other by evaporating the mixture, notwithstanding the rather considerable difference in the solubility of these salts. again, the isomorphous salts, magnesium carbonate, and calcium carbonate are found together--that is, in one crystal--in nature. the angle of the rhombohedron of these magnesia-lime spars is intermediate between the angles proper to the two spars individually (for calcium carbonate, the angle of the rhombohedron is ° ´; magnesium carbonate, ° ´; camg(co_{ })_{ }, ° ´). certain of these _isomorphous mixtures_ of calc and magnesia spars appear in well-formed crystals, and in this case there not unfrequently exists a simple molecular proportion of strictly definite chemical combination between the component salts--for instance, caco_{ },mgco_{ }--whilst in other cases, especially in the absence of distinct crystallisation (in dolomites), no such simple molecular proportion is observable: this is also the case in many artificially prepared isomorphous mixtures. the microscopical and crystallo-optical researches of professor inostrantzoff and others show that in many cases there is really a mechanical, although microscopically minute, juxtaposition in one whole of the heterogeneous crystals of calcium carbonate (double refracting) and of the compound camgc_{ }o_{ }. if we suppose the adjacent parts to be microscopically small (on the basis of the researches of mallard, weruboff, and others), we obtain an idea of isomorphous mixtures. a formula of the following kind is given to isomorphous mixtures: for instance, for spars, rco_{ }, where r = mg, ca, and where it may be fe,mn ..., &c. this means that the ca is partially replaced by mg or another metal. alums form a common example of the separation of isomorphous mixtures from solutions. they are double sulphates (or seleniates) of alumina (or oxides isomorphous with it) and the alkalis, which crystallise in well-formed crystals. if aluminium sulphate be mixed with potassium sulphate, an alum separates, having the composition kals_{ }o_{ }, h_{ }o. if sodium sulphate or ammonium sulphate, or rubidium (or thallium) sulphate be used, we obtain alums having the composition rals_{ }o_{ }, h_{ }o. not only do they all crystallise in the cubic system, but they also contain an equal atomic quantity of water of crystallisation ( h_{ }o). besides which, if we mix solutions of the potassium and ammonium (nh_{ }als_{ }o_{ }, h_{ }o) alums together, then the crystals which separate will contain various proportions of the alkalis taken, and separate crystals of the alums of one or the other kind will not be obtained, but each separate crystal will contain both potassium and ammonium. nor is this all; if we take a crystal of a potassium alum and immerse it in a solution capable of yielding ammonia alum, the crystal of the potash alum will continue to grow and increase in size in this solution--that is, a layer of the ammonia or other alum will deposit itself upon the planes bounding the crystal of the potash alum. this is very distinctly seen if a colourless crystal of a common alum be immersed in a saturated violet solution of chrome alum, kcrs_{ }o_{ }, h_{ }o, which then deposits itself in a violet layer over the colourless crystal of the alumina alum, as was observed even before mitscherlich noticed it. if this crystal be then immersed in a solution of an alumina alum, a layer of this salt will form over the layer of chrome alum, so that one alum is able to incite the growth of the other. if the deposition proceed simultaneously, the resultant intermixture may be minute and inseparable, but its nature is understood from the preceding experiments; the attractive force of crystallisation of isomorphous substances is so nearly equal that the attractive power of an isomorphous substance induces a crystalline superstructure exactly the same as would be produced by the attractive force of like crystalline particles. from this it is evident that one isomorphous substance may _induce the crystallisation_[ ] of another. such a phenomenon explains, on the one hand, the aggregation of different isomorphous substances in one crystal, whilst, on the other hand, it serves as a most exact indication of the nearness both of the molecular composition of isomorphous substances and of those forces which are proper to the elements which distinguish the isomorphous substances. thus, for example, ferrous sulphate or green vitriol crystallises in the monoclinic system and contains seven molecules of water, feso_{ }, h_{ }o, whilst copper vitriol crystallises with five molecules of water in the triclinic system, cuso_{ }, h_{ }o; nevertheless, it may be easily proved that both salts are perfectly isomorphous; that they are able to appear in identically the same forms and with an equal molecular amount of water. for instance, marignac, by evaporating a mixture of sulphuric acid and ferrous sulphate under the receiver of an air-pump, first obtained crystals of the hepta-hydrated salt, and then of the penta-hydrated salt feso_{ }, h_{ }o, which were perfectly similar to the crystals of copper sulphate. furthermore, lecoq de boisbaudran, by immersing crystals of feso_{ }, h_{ }o in a supersaturated solution of copper sulphate, caused the latter to deposit in the same form as ferrous sulphate, in crystals of the monoclinic system, cuso_{ }, h_{ }o. [ ] for instance the analogy of the sulphates of k, rb, and cs (chapter xiii., note ). [ bis] the crystalline forms of aragonite, strontianite, and witherite belong to the rhombic system; the angle of the prism of caco_{ } is ° ´, of srco_{ } ° ´, and of baco_{ } ° ´. on the other hand the crystalline forms of calc spar, magnesite, and calamine, which resemble each other quite as closely, belong to the rhombohedral system, with the angle of the rhombohedra for caco_{ } ° ´, mgco_{ } ° ´, and znco_{ } ° ´. from this comparison it is at once evident that zinc is more closely allied to magnesium than magnesium to calcium. [ ] solutions furnish the commonest examples of indefinite chemical compounds. but the isomorphous mixtures which are so common among the crystalline compounds of silica forming the crust of the earth, as well as alloys, which are so important in the application of metals to the arts, are also instances of indefinite compounds. and if in chapter i., and in many other portions of this work, it has been necessary to admit the presence of definite compounds (in a state of dissociation) in solutions, the same applies with even greater force to isomorphous mixtures and alloys. for this reason in many places in this work i refer to facts which compel us to recognise the existence of definite chemical compounds in all isomorphous mixtures and alloys. this view of mine (which dates from the sixties) upon isomorphous mixtures finds a particularly clear confirmation in b. roozeboom's researches ( ) upon the solubility and crystallising capacity of mixtures of the chlorates of potassium and thallium, kclo_{ } and tlclo_{ }. he showed that when a solution contains different amounts of these salts, it deposits crystals containing either an excess of the first salt, from p.c. to p.c., or an excess of the second salt, from · to p.c.; that is, in the crystalline form, either the first salt saturates the second or the second the first, just as in the solution of ether in water (chapter i.); moreover, the solubility of the mixtures containing · and p.c. kclo_{ } is similar, just as the vapour tension of a saturated solution of water in ether is equal to that of a saturated solution of ether in water (chapter i., note ). but just as there are solutions miscible in all proportions, so also certain isomorphous bodies can be present in crystals in all possible proportions of their component parts. van 't hoff calls such systems 'solid solutions.' these views were subsequently elaborated by nernst ( ), and witt ( ) applied them in explaining the phenomena observed in the coloration of tissues. [ ] the cause of the difference which is observed in different compounds of the same type, with respect to their property of forming isomorphous mixtures, must not be looked for in the difference of their volumetric composition, as many investigators, including kopp, affirm. the molecular volumes (found by dividing the molecular weight by the density) of those isomorphous substances which do give intermixtures are not nearer to each other than the volumes of those which do not give mixtures; for example, for magnesium carbonate the combining weight is , density · , and volume therefore ; for calcium carbonate in the form of calc spar the volume is , and in the form of aragonite ; for strontium carbonate , for barium carbonate ; that is, the volume of these closely allied isomorphous substances increases with the combining weight. the same is observed if we compare sodium chloride (molecular volume = ) with potassium chloride (volume = ), or sodium sulphate (volume = ) with potassium sulphate (volume = ), or sodium nitrate with potassium nitrate , although the latter are less capable of giving isomorphous mixtures than the former. it is evident that the cause of isomorphism cannot be explained by an approximation in molecular volumes. it is more likely that, given a similarity in form and composition, the faculty to give isomorphous mixtures is connected with the laws and degree of solubility. [ ] a phenomenon of a similar kind is shown for magnesium sulphate in note of the last chapter. in the same example we see what a complication the phenomena of dimorphism may introduce when the forms of analogous compounds are compared. hence it is evident that isomorphism--that is, the analogy of forms and the property of inducing crystallisation--may serve as a means for the discovery of analogies in molecular composition. we will take an example in order to render this clear. if, instead of aluminium sulphate, we add magnesium sulphate to potassium sulphate, then, on evaporating the solution, the double salt k_{ }mgs_{ }o_{ }, h_{ }o (chapter xiv., note ) separates instead of an alum, and the ratio of the component parts (in alums one atom of potassium per so_{ }, and here two atoms) and the amount of water of crystallisation (in alums , and here equivalents per so_{ }) are quite different; nor is this double salt in any way isomorphous with the alums, nor capable of forming an isomorphous crystalline mixture with them, nor does the one salt provoke the crystallisation of the other. from this we must conclude that although alumina and magnesia, or aluminium and magnesium, resemble each other, they are not isomorphous, and that although they give partially similar double salts, these salts are not analogous to each other. and this is expressed in their chemical formulæ by the fact that the number of atoms in alumina or aluminium oxide, al_{ }o_{ }, is different from the number in magnesia, mgo. aluminium is trivalent and magnesium bivalent. thus, having obtained a double salt from a given metal, it is possible to judge of the analogy of the given metal with aluminium or with magnesium, or of the absence of such an analogy, from the composition and form of this salt. thus zinc, for example, does not form alums, but forms a double salt with potassium sulphate, which has a composition exactly like that of the corresponding salt of magnesium. it is often possible to distinguish the bivalent metals analogous to magnesium or calcium from the trivalent metals, like aluminium, by such a method. furthermore, the specific heat and vapour density serve as guides. there are also indirect proofs. thus iron gives ferrous compounds, fex_{ }, which are isomorphous with the compounds of magnesium, and ferric compounds, fex_{ }, which are isomorphous with the compounds of aluminium; in this instance the relative composition is directly determined by analysis, because, for a given amount of iron, fecl_{ } only contains two-thirds of the amount of chlorine which occurs in fecl_{ }, and the composition of the corresponding oxygen compounds, _i.e._ of ferrous oxide, feo, and ferric oxide, fe_{ }o_{ }, clearly indicates the analogy of the ferrous oxide with mgo and of the ferric oxide with al_{ }o_{ }. thus in the building up of similar molecules in crystalline forms we see one of the numerous means for judging of the internal world of molecules and atoms, and one of the weapons for conquests in the invisible world of molecular mechanics which forms the main object of physico-chemical knowledge. this method[ ] has more than once been employed for discovering the analogy of elements and of their compounds; and as crystals are measurable, and the capacity to form crystalline mixtures can be experimentally verified, this method is a numerical and measurable one, and in no sense arbitrary. [ ] the property of solids of occurring in regular crystalline forms--the occurrence of many substances in the earth's crust in these forms--and those geometrical and simple laws which govern the formation of crystals long ago attracted the attention of the naturalist to crystals. the crystalline form is, without doubt, the expression of the relation in which the atoms occur in the molecules, and in which the molecules occur in the mass, of a substance. crystallisation is determined by the distribution of the molecules along the direction of greatest cohesion, and therefore those forces must take part in the crystalline distribution of matter which act between the molecules; and, as they depend on the forces binding the atoms together in the molecules, a very close connection must exist between the atomic composition and the distribution of the atoms in the molecule on the one hand, and the crystalline form of a substance on the other hand; and hence an insight into the composition may be arrived at from the crystalline form. such is the elementary and _a priori_ idea which lies at the base of all researches into _the connection between composition and crystalline form_. haüy in established the following fundamental law, which has been worked out by later investigators: that the fundamental crystalline form for a given chemical compound is constant (only the combinations vary), and that with a change of composition the crystalline form also changes, naturally with the exception of such limiting forms as the cube, regular octahedron, &c., which may belong to various substances of the regular system. the fundamental form is determined by the angles of certain fundamental geometric forms (prisms, pyramids, rhombohedra), or the ratio of the crystalline axes, and is connected with the optical and many other properties of crystals. since the establishment of this law the description of definite compounds in a solid state is accompanied by a description (measurement) of its crystals, which forms an invariable, definite, and measurable character. the most important epochs in the further history of this question were made by the following discoveries:--klaproth, vauquelin, and others showed that aragonite has the same composition as calc spar, whilst the former belongs to the rhombic and the latter to the hexagonal system. haüy at first considered that the composition, and after that the arrangement, of the atoms in the molecules was different. this is dimorphism (_see_ chapter xiv., note ). beudant, frankenheim, laurent, and others found that the forms of the two nitres, kno_{ } and nano_{ }, exactly correspond with the forms of aragonite and calc spar; that they are able, moreover, to pass from one form into another; and that the difference of the forms is accompanied by a small alteration of the angles, for the angle of the prisms of potassium nitrate and aragonite is °, and of sodium nitrate and calc spar, °; and therefore dimorphism, or the crystallisation of one substance in different forms, does not necessarily imply a great difference in the distribution of the molecules, although some difference clearly exists. the researches of mitscherlich ( ) on the dimorphism of sulphur confirmed this conclusion, although it cannot yet be affirmed that in dimorphism the arrangement of the atoms remains unaltered, and that only the molecules are distributed differently. leblanc, berthier, wollaston, and others already knew that many substances of different composition appear in the same forms, and crystallise together in one crystal. gay-lussac ( ) showed that crystals of potash alum continue to grow in a solution of ammonia alum. beudant ( ) explained this phenomenon as the _assimilation_ of a foreign substance by a substance having a great force of crystallisation, which he illustrated by many natural and artificial examples. but mitscherlich, and afterwards berzelius and henry rose and others, showed that such an assimilation only exists with a similarity or approximate similarity of the forms of the individual substances and with a certain degree of chemical analogy. thus was established the idea of _isomorphism_ as an analogy of forms by reason of a resemblance of atomic composition, and by it was explained the variability of the composition of a number of minerals as isomorphous mixtures. thus all the garnets are expressed by the general formula: (ro)_{ }m_{ }o_{ }(sio_{ })_{ }, where r = ca, mg, fe, mn, and m = fe, al, and where we may have either r and m separately, or their equivalent compounds, or their mixtures in all possible proportions. but other facts, which render the correlation of form and composition still more complex, have accumulated side by side with a mass of data which may be accounted for by admitting the conceptions of isomorphism and dimorphism. foremost among the former stand the phenomena of _homeomorphism_--that is, a nearness of forms with a difference of composition--and then the cases of polymorphism and hemimorphism--that is, a nearness of the fundamental forms or only of certain angles for substances which are near or analogous in their composition. instances of homeomorphism are very numerous. many of these, however, may be reduced to a resemblance of atomic composition, although they do not correspond to an isomorphism of the component elements; for example, cds (greenockite) and agi, caco_{ } (aragonite) and kno_{ }, caco_{ } (calc spar) and nano_{ }, baso_{ } (heavy spar), kmno_{ } (potassium permanganate), and kclo_{ } (potassium perchlorate), al_{ }o_{ } (corundum) and fetio_{ } (titanic iron ore), fes_{ } (marcasite, rhombic system) and fesas (arsenical pyrites), nis and nias, &c. but besides these instances there are homeomorphous substances with an absolute dissimilarity of composition. many such instances were pointed out by dana. cinnabar, hgs, and susannite, pbso_{ } pbco_{ } appear in very analogous crystalline forms; the acid potassium sulphate crystallises in the monoclinic system in crystals analogous to felspar, kalsi_{ }o_{ }; glauberite, na_{ }ca(so_{ })_{ }, augite, rsio_{ } (r = ca, mg), sodium carbonate, na_{ }co_{ }, h_{ }o, glauber's salt, na_{ }so_{ }, h_{ }o, and borax, na_{ }bro_{ }, h_{ }o, not only belong to the same system (monoclinic), but exhibit an analogy of combinations and a nearness of corresponding angles. these and many other similar cases might appear to be perfectly arbitrary (especially as a _nearness_ of angles and fundamental forms is a relative idea) were there not other cases where a resemblance of properties and a distinct relation in the variation of composition is connected with a resemblance of form. thus, for example, alumina, al_{ }o_{ }, and water, h_{ }o, are frequently found in many pyroxenes and amphiboles which only contain silica and magnesia (mgo, cao, feo, mno). scheerer and hermann, and many others, endeavoured to explain such instances by _polymetric isomorphism_, stating that mgo may be replaced by h_{ }o (for example, olivine and serpentine), sio_{ } by al_{ }o_{ } (in the amphiboles, talcs), and so on. a certain number of the instances of this order are subject to doubt, because many of the natural minerals which served as the basis for the establishment of polymeric isomorphism in all probability no longer present their original composition, but one which has been altered under the influence of solutions which have come into contact with them; they therefore belong to the class of _pseudomorphs_, or false crystals. there is, however, no doubt of the existence of a whole series of natural and artificial homeomorphs, which differ from each other by atomic amounts of water, silica, and some other component parts. thus, thomsen ( ) showed a very striking instance. the metallic chlorides, rcl_{ }, often crystallise with water, and they do not then contain less than one molecule of water per atom of chlorine. the most familiar representative of the order rcl_{ }, h_{ }o is bacl_{ }, h_{ }o, which crystallises in the rhombic system. barium bromide, babr_{ }, h_{ }o, and copper chloride, cucl_{ }, h_{ }o, have nearly the same forms: potassium iodate, kio_{ }; potassium chlorate, kclo_{ }; potassium permanganate, kmno_{ }; barium sulphate, baso_{ }; calcium sulphate, caso_{ }; sodium sulphate, na_{ }so_{ }; barium formate, bac_{ }h_{ }o_{ }, and others have almost the same crystalline form (of the rhombic system). parallel with this series is that of the metallic chlorides containing rcl_{ }, h_{ }o, of the sulphates of the composition rso_{ }, h_{ }o, and the formates rc_{ }h_{ }o_{ }, h_{ }o. these compounds belong to the monoclinic system, have a close resemblance of form, and differ from the first series by containing two more molecules of water. the addition of two more molecules of water in all the above series also gives forms of the monoclinic system closely resembling each other; for example, nicl_{ }, h_{ }o and mnso_{ }, h_{ }o. hence we see that not only is rcl_{ }, h_{ }o analogous in form to rso_{ } and rc_{ }h_{ }o_{ }, but that their compounds with h_{ }o and with h_{ }o also exhibit closely analogous forms. from these examples it is evident that the conditions which determine a given form may be repeated not only in the presence of an isomorphous exchange--that is, with an equal number of atoms in the molecule--but also in the presence of an unequal number when there are peculiar and as yet ungeneralised relations in composition. thus zno and al_{ }o_{ } exhibit a close analogy of form. both oxides belong to the rhombohedral system, and the angle between the pyramid and the terminal plane of the first is ° ´, and of the second ° ´. alumina, al_{ }o_{ }, is also analogous in form to sio_{ }, and we shall see that these analogies of form are conjoined with a certain analogy in properties. it is not surprising, therefore, that in the complex molecule of a siliceous compound it is sometimes possible to replace sio_{ } by means of al_{ }o_{ }, as scheerer admits. the oxides cu_{ }o, mgo, nio, fe_{ }o_{ }, ceo_{ }, crystallise in the regular system, although they are of very different atomic structure. marignac demonstrated the perfect analogy of the forms of k_{ }zrf_{ } and caco_{ }, and the former is even dimorphous, like the calcium carbonate. the same salt is isomorphous with r_{ }nbof_{ } and r_{ }wo_{ }f_{ }, where r is an alkali metal. there is an equivalency between caco_{ } and k_{ }zrf_{ }, because k_{ } is equivalent to ca, c to zr, and f_{ } to o_{ }, and with the isomorphism of the other two salts we find besides an equal contents of the alkali metal--an equal number of atoms on the one hand and an analogy to the properties of k_{ }zrf_{ } on the other. the long-known isomorphism of the corresponding compounds of potassium and ammonium, kx and nh_{ }x, may be taken as the simplest example of the fact that an analogy of form shows itself with an analogy of chemical reaction even without an equality in atomic composition. therefore the ultimate progress of the entire doctrine of the correlation of composition and crystalline forms will only be arrived at with the accumulation of a sufficient number of facts collected on a plan corresponding with the problems which here present themselves. the first steps have already been made. the researches of the geneva _savant_, marignac, on the crystalline form and composition of many of the double fluorides, and the work of wyruboff on the ferricyanides and other compounds, are particularly important in this respect. it is already evident that, with a definite change of composition, certain angles remain constant, notwithstanding that others are subject to alteration. such an instance of the relation of forms was observed by laurent, and named by him _hemimorphism_ (an anomalous term) when the analogy is limited to certain angles, and _paramorphism_ when the forms in general approach each other, but belong to different systems. so, for example, the angle of the planes of a rhombohedron may be greater or less than °, and therefore such acute and obtuse rhombohedra may closely approximate to the cube. hausmannite, mn_{ }o_{ }, belongs to the tetragonal system, and the planes of its pyramid are inclined at an angle of about °, whilst magnetic iron ore, fe_{ }o_{ }, which resembles hausmannite in many respects, appears in regular octahedra--that is, the pyramidal planes are inclined at an angle of ° ´. this is an example of paramorphism; the systems are different, the compositions are analogous, and there is a certain resemblance in form. hemimorphism has been found in many instances of saline and other substitutions. thus, laurent demonstrated, and hintze confirmed ( ), that naphthalene derivatives of analogous composition are hemimorphous. nicklès ( ) showed that in ethylene sulphate the angle of the prism is ° ´, and in the nitrate of the same radicle ° ´. the angle of the prism of methylamine oxalate is ° ´, and of fluoride, which is very different in composition from the former, the angle is °. groth ( ) endeavoured to indicate in general what kinds of change of form proceed with the substitution of hydrogen by various other elements and groups, and he observed a regularity which he termed _morphotropy_. the following examples show that morphotropy recalls the hemimorphism of laurent. benzene, c_{ }h_{ }, rhombic system, ratio of the axes · : : · . phenol, c_{ }h_{ }(oh), and resorcinol, c_{ }h_{ }(oh)_{ }, also rhombic system, but the ratio of one axis is changed--thus, in resorcinol, · : : · ; that is, a portion of the crystalline structure in one direction is the same, but in the other direction it is changed, whilst in the rhombic system dinitrophenol, c_{ }h_{ }(no_{ })_{ }(oh) = o· : : · ; trinitrophenol (picric acid), c_{ }h_{ }(no)_{ }(oh) = · : : · ; and the potassium salt = · : : · . here the ratio of the first axis is preserved--that is, certain angles remain constant, and the chemical proximity of the composition of these bodies is undoubted. laurent compares hemimorphism with architectural style. thus, gothic cathedrals differ in many respects, but there is an analogy expressed both in the sum total of their common relations and in certain details--for example, in the windows. it is evident that we may expect many fruitful results for molecular mechanics (which forms a problem common to many provinces of natural science) from the further elaboration of the data concerning those variations which take place in crystalline form when the composition of a substance is subjected to a known change, and therefore i consider it useful to point out to the student of science seeking for matter for independent scientific research this vast field for work which is presented by the correlation of form and composition. the geometrical regularity and varied beauty of crystalline forms offer no small attraction to research of this kind. the regularity and simplicity expressed by the exact laws of crystalline form repeat themselves in the aggregation of the atoms to form molecules. here, as there, there are but few forms which are essentially different, and their apparent diversity reduces itself to a few fundamental differences of type. there the molecules aggregate themselves into crystalline forms; here, the atoms aggregate themselves into molecular forms or into _the types of compounds_. in both cases the fundamental crystalline or molecular forms are liable to variations, conjunctions, and combinations. if we know that potassium gives compounds of the fundamental type kx, where x is a univalent element (which combines with one atom of hydrogen, and is, according to the law of substitution, able to replace it), then we know the composition of its compounds: k_{ }o, kho, kcl, nh_{ }k, kno_{ }, k_{ }so_{ }, khso_{ }, k_{ }mg(so_{ })_{ }, h_{ }o, &c. all the possible derivative crystalline forms are not known. so also all the atomic combinations are not known for every element. thus in the case of potassium, kch_{ }, k_{ }p, k_{ }pt, and other like compounds which exist for hydrogen or chlorine, are unknown. only a few fundamental types exist for the building up of atoms into molecules, and the majority of them are already known to us. if x stand for a univalent element, and r for an element combined with it, then eight atomic types may be observed:-- rx, rx_{ }, rx_{ }, rx_{ }, rx_{ }, rx_{ }, rx_{ }, rx_{ }. let x be chlorine or hydrogen. then as examples of the first type we have: h_{ }, cl_{ }, hcl, kcl, nacl, &c. the compounds of oxygen or calcium may serve as examples of the type rx_{ }: oh_{ }, ocl_{ }, ohcl, cao, ca(oh)_{ }, cacl_{ }, &c. for the third type rx_{ } we know the representative nh_{ } and the corresponding compounds n_{ }o_{ }, no(oh), no(ok), pcl_{ }, p_{ }o_{ }, ph_{ }, sbh_{ }, sb_{ }o_{ }, b_{ }o_{ }, bcl_{ }, al_{ }o_{ }, &c. the type rx_{ } is known among the hydrogen compounds. marsh gas, ch_{ }, and its corresponding saturated hydrocarbons, c_{_n_}h_{ _n_ + }, are the best representatives. also ch_{ }cl, ccl_{ }, sicl_{ }, sncl_{ }, sno_{ }, co_{ }, sio_{ }, and a whole series of other compounds come under this class. the type rx_{ } is also already familiar to us, but there are no purely hydrogen compounds among its representatives. sal-ammoniac, nh_{ }cl, and the corresponding nh_{ }(oh), no_{ }(oh), clo_{ }(ok), as well as pcl_{ }, pocl_{ }, &c., are representatives of this type. in the higher types also there are no hydrogen compounds, but in the type rx_{ } there is the chlorine compound wcl_{ }. however, there are many oxygen compounds, and among them so_{ } is the best known representative. to this class also belong so_{ }(oh)_{ }, so_{ }cl_{ }, so_{ }(oh)cl, cro_{ }, &c., all of an acid character. of the higher types there are in general only oxygen and acid representatives. the type rx_{ } we know in perchloric acid, clo_{ }(oh), and potassium permanganate, mno_{ }(ok), is also a member. the type rx_{ } in a free state is very rare; osmic anhydride, oso_{ }, is the best known representative of it.[ ] [ ] the still more complex combinations--which are so clearly expressed in the crystallo-hydrates, double salts, and similar compounds--although they may be regarded as independent, are, however, most easily understood with our present knowledge as aggregations of whole molecules to which there are no corresponding double compounds, containing one atom of an element r and many atoms of other elements rx_{_n_}. the above types embrace all cases of direct combinations of atoms, and the formula mgso_{ }, h_{ }o cannot, without violating known facts, be directly deduced from the types mgx_{_n_} or sx_{_n_}, whilst the formula mgso_{ } corresponds both with the type of the magnesium compounds mgx_{ } and with the type of the sulphur compounds so_{ }x_{ }, or in general sx_{ }, where x_{ } is replaced by (oh)_{ }, with the substitution in this case of h_{ } by the atom mg, which always replaces h_{ }. however, it must be remarked that the sodium crystallo-hydrates often contain h_{ }o, the magnesium crystallo-hydrates and h_{ }o, and that the type ptm_{ }x_{ } is proper to the double salts of platinum, &c. with the further development of our knowledge concerning crystallo-hydrates, double salts, alloys, solutions, &c., in the _chemical sense_ of feeble compounds (that is, such as are easily destroyed by feeble chemical influences) it will probably be possible to arrive at a perfect generalisation for them. for a long time these subjects were only studied by the way or by chance; our knowledge of them is accidental and destitute of system, and therefore it is impossible to expect as yet any generalisation as to their nature. the days of gerhardt are not long past when only three types were recognised: rx, rx_{ }, and rx_{ }; the type rx_{ } was afterwards added (by cooper, kekulé, butleroff, and others), mainly for the purpose of generalising the data respecting the carbon compounds. and indeed many are still satisfied with these types, and derive the higher types from them; for instance, rx_{ } from rx_{ }--as, for example, pocl_{ } from pcl_{ }, considering the oxygen to be bound both to the chlorine (as in hclo) and to the phosphorus. but the time has now arrived when it is clearly seen that the forms rx, rx_{ }, rx_{ }, and rx_{ } do not exhaust the whole variety of phenomena. the revolution became evident when würtz showed that pcl_{ } is not a compound of pcl_{ } + cl_{ } (although it may decompose into them), but a whole molecule capable of passing into vapour, pcl_{ } like pf_{ } and sif_{ }. the time for the recognition of types even higher than rx_{ } is in my opinion in the future; that it will come, we can already see in the fact that oxalic acid, c_{ }h_{ }o_{ }, gives a crystallo-hydrate with h_{ }o; but it may be referred to the type ch_{ }, or rather to the type of ethane, c_{ }h_{ }, in which all the atoms of hydrogen are replaced by hydroxyl, c_{ }h_{ }o_{ } h_{ }o = c_{ }(oh)_{ } (_see_ chapter xxii., note ). the four lower types rx, rx_{ }, rx_{ }, and rx_{ } are met with in compounds of the elements r with chlorine and oxygen, and also in their compounds with hydrogen, whilst the four higher types only appear for such acid compounds as are formed by chlorine, oxygen, and similar elements. among the oxygen compounds the _saline oxides_ which are capable of forming salts either through the function of a base or through the function of an acid anhydride attract the greatest interest in every respect. certain elements, like calcium and magnesium, only give one saline oxide--for example, mgo, corresponding with the type mgx_{ }. but the majority of the elements appear in several such forms. thus copper gives cux and cux_{ }, or cu_{ }o and cuo. if an element r gives a higher type rx_{_n_}, then there often also exist, as if by symmetry, lower types, rx_{_n_- }, rx_{_n_- }, and in general such types as differ from rx_{_n_} by an even number of x. thus in the case of sulphur the types sx_{ }, sx_{ }, and sx_{ } are known--for example sh_{ }, so_{ }, and so_{ }. the last type is the highest, sx_{ }. the types sx_{ } and sx_{ } do not exist. but even and uneven types sometimes appear for one and the same element. thus the types rx and rx_{ } are known for copper and mercury. among the _saline_ oxides only the _eight types_ enumerated below are known to exist. they determine the possible formulæ of the compounds of the elements, if it be taken into consideration that an element which gives a certain type of combination may also give lower types. for this reason the rare type of the _suboxides_ or quaternary oxides r_{ }o (for instance, ag_{ }o, ag_{ }cl) is not characteristic; it is always accompanied by one of the higher grades of oxidation, and the compounds of this type are distinguished by their great chemical instability, and split up into an element and the higher compound (for instance, ag_{ }o = ag + ag_{ }o). many elements, moreover, form transition oxides whose composition is intermediate, which are able, like n_{ }o_{ }, to split up into the lower and higher oxides. thus iron gives magnetic oxide, fe_{ }o_{ }, which is in all respects (by its reactions) a compound of the suboxide feo with the oxide fe_{ }o_{ }. the independent and more or less stable saline compounds correspond with the following eight types:-- r_{ }o; salts rx, hydroxides roh. generally basic like k_{ }o, na_{ }o, hg_{ }o, ag_{ }o, cu_{ }o; if there are acid oxides of this composition they are very rare, are only formed by distinctly acid elements, and even then have only feeble acid properties; for example, cl_{ }o and n_{ }o. r_{ }o_{ } or ro; salts rx_{ }, hydroxides r(oh)_{ }. the most simple basic salts r_{ }ox_{ } or r(oh)x; for instance, the chloride zn_{ }ocl_{ }; also an almost exclusively basic type; but the basic properties are more feebly developed than in the preceding type. for example, cao, mgo, bao, pbo, feo, mno, &c. r_{ }o_{ }; salts rx_{ }, hydroxides r(oh)_{ }, ro(oh), the most simple basic salts rox, r(oh)x_{ }. the bases are feeble, like al_{ }o_{ }, fe_{ }o_{ }, tl_{ }o_{ }, sb_{ }o_{ }. the acid properties are also feebly developed; for instance, in b_{ }o_{ }; but with the non-metals the properties of acids are already clear; for instance, p_{ }o_{ }, p(oh)_{ }. r_{ }o_{ } or ro_{ }; salts rx_{ } or rox_{ }, hydroxides r(oh)_{ }, ro(oh)_{ }. rarely bases (feeble), like zro_{ }, pto_{ }; more often acid oxides; but the acid properties are in general feeble, as in co_{ }, so_{ }, sno_{ }. many intermediate oxides appear in this and the preceding and following types. r_{ }o_{ }; salts principally of the types rox_{ }, ro_{ }x, ro(oh)_{ }, ro_{ }(oh), rarely rx_{ }. the basic character (x, a halogen, simple or complex; for instance, no_{ }, cl, &c.) is feeble; the acid character predominates, as is seen in n_{ }o_{ }, p_{ }o_{ }, cl_{ }o_{ }; then x = oh, ok, &c., for example no_{ }(ok). r_{ }o_{ } or ro_{ }; salts and hydroxides generally of the type ro_{ }x_{ }, ro_{ }(oh)_{ }. oxides of an acid character, as so_{ }, cro_{ }, mno_{ }. basic properties rare and feebly developed as in uo_{ }. r_{ }o_{ }; salts of the form ro_{ }x, ro_{ }(oh), acid oxides; for instance, cl_{ }o_{ }, mn_{ }o_{ }. basic properties as feebly developed as the acid properties in the oxides r_{ }o. r_{ }o_{ } or ro_{ }. a very rare type, and only known in oso_{ } and ruo_{ }. it is evident from the circumstance that in all the higher types the _acid hydroxides_ (for example, hclo_{ }, h_{ }so_{ }, h_{ }po_{ }) and salts with a single atom of one element contain, like the higher saline type ro_{ }, _not more than four atoms of oxygen_; that the formation of the saline oxides is governed by a certain common principle which is best looked for in the fundamental properties of oxygen, and in general of the most simple compounds. the hydrate of the oxide ro_{ } is of the higher type ro_{ } h_{ }o = rh_{ }o_{ } = r(ho)_{ }. such, for example, is the hydrate of silica and the salts (orthosilicates) corresponding with it, si(mo)_{ }. the oxide r_{ }o_{ }, corresponds with the hydrate r_{ }o_{ } h_{ }o = rh_{ }o_{ } = ro(oh)_{ }. such is orthophosphoric acid, ph_{ }o_{ }. the hydrate of the oxide ro_{ } is ro_{ }h_{ }o = rh_{ }o_{ } = ro_{ }(oh)_{ }--for instance, sulphuric acid. the hydrate corresponding to r_{ }o_{ } is evidently rho = ro_{ }(oh)--for example, perchloric acid. here, besides containing o_{ }, it must further be remarked that _the amount of hydrogen in the hydrate is equal to the amount of hydrogen in the hydrogen compound_. thus silicon gives sih_{ } and sih_{ }o_{ }, phosphorus ph_{ } and ph_{ }o_{ }, sulphur sh_{ } and sh_{ }o_{ }, chlorine clh and clho_{ }. this, if it does not explain, at least connects in a harmonious and general system the fact that _the elements are capable of combining with a greater amount of oxygen, the less the amount of hydrogen which they are able to retain_. in this the key to the comprehension of all further deductions must be looked for, and we will therefore formulate this rule in general terms. an element r gives a hydrogen compound rh_{_n_}, the hydrate of its higher oxide will be rh_{_n_}o_{ }, and therefore the higher oxide will contain rh_{_n_}o_{ } - _n_h_{ }o = r_{ }o_{ - _n_}. for example, chlorine gives clh, hydrate clho_{ }, and the higher oxide cl_{ }o_{ }. carbon gives ch_{ } and co_{ }. so also, sio_{ } and sih_{ } are the higher compounds of silicon with hydrogen and oxygen, like co_{ } and ch_{ }. here the amounts of oxygen and hydrogen are equivalent. nitrogen combines with a large amount of oxygen, forming n_{ }o_{ }, but, on the other hand, with a small quantity of hydrogen in nh_{ }. _the sum of the equivalents of hydrogen and oxygen_, occurring in combination with an atom of nitrogen, is, as always in the higher types, equal to _eight_. it is the same with the other elements which combine with hydrogen and oxygen. thus sulphur gives so_{ }; consequently, six equivalents of oxygen fall to an atom of sulphur, and in sh_{ } two equivalents of hydrogen. the sum is again equal to eight. the relation between cl_{ }o_{ } and clh is the same. this shows that the property of elements of combining with such different elements as oxygen and hydrogen is subject to one common law, which is also formulated in the system of the elements presently to be described.[ ] [ ] the hydrogen compounds, r_{ }h, in equivalency correspond with the type of the suboxides, r_{ }o. palladium, sodium, and potassium give such hydrogen compounds, and it is worthy of remark that according to the periodic system these elements stand near to each other, and that in those groups where the hydrogen compounds r_{ }h appear, the quaternary oxides r_{ }o are also present. not wishing to complicate the explanation, i here only touch on the general features of the relation between the hydrates and oxides and of the oxides among themselves. thus, for instance, the conception of the ortho-acids and of the normal acids will be considered in speaking of phosphoric and phosphorous acids. as in the further explanation of the periodic law only those oxides which give salts will be considered, i think it will not be superfluous to mention here the following facts relative to the peroxides. of the _peroxides_ corresponding with hydrogen peroxide, the following are at present known: h_{ }o_{ }, na_{ }o_{ }, s_{ }o_{ } (as hso_{ }?), k_{ }o_{ }, k_{ }o_{ }, cao_{ }, tio_{ }, cr_{ }o_{ }, cuo_{ }(?), zno_{ }, rb_{ }o_{ }, sro_{ }, ag_{ }o_{ }, cdo_{ }, cso_{ }, cs_{ }o_{ }, bao_{ }, mo_{ }o_{ }, sno_{ }, w_{ }o_{ }, uo_{ }. it is probable that the number of peroxides will increase with further investigation. a periodicity is seen in those now known, for the elements (excepting li) of the first group, which give r_{ }o, form peroxides, and then the elements of the sixth group seem also to be particularly inclined to form peroxides, r_{ }o_{ }; but at present it is too early, in my opinion, to enter upon a generalisation of this subject, not only because it is a new and but little studied matter (not investigated for all the elements), but also, and more especially, because in many instances only the hydrates are known--for instance, mo_{ }h_{ }o_{ }--and they perhaps are only compounds of peroxide of hydrogen--for example, mo_{ }h_{ }o_{ } = moo_{ } + h_{ }o_{ }--since prof. schöne has shown that h_{ }o_{ } and bao_{ } possess the property of combining together and with other oxides. nevertheless, i have, in the general table expressing the periodic properties of the elements, endeavoured to sum up the data respecting all the known peroxide compounds whose characteristic property is seen in their capability to form peroxide of hydrogen under many circumstances. in the preceding we see not only the regularity and simplicity which govern the formation and properties of the oxides and of all the compounds of the elements, but also a fresh and exact means for recognising the analogy of elements. analogous elements give compounds of analogous types, both higher and lower. if co_{ } and so_{ } are two gases which closely resemble each other both in their physical and chemical properties, the reason of this must be looked for not in an analogy of sulphur and carbon, but in that identity of the type of combination, rx_{ }, which both oxides assume, and in that influence which a large mass of oxygen always exerts on the properties of its compounds. in fact, there is little resemblance between carbon and sulphur, as is seen not only from the fact that co_{ } is the _higher form_ of oxidation, whilst so_{ } is able to further oxidise into so_{ }, but also from the fact that all the other compounds--for example, sh_{ } and ch_{ }, scl_{ } and ccl_{ }, &c.--are entirely unlike both in type and in chemical properties. this absence of analogy in carbon and sulphur is especially clearly seen in the fact that the highest saline oxides are of different composition, co_{ } for carbon, and so_{ } for sulphur. in chapter viii. we considered the limit to which carbon tends in its compounds, and in a similar manner there is for every element in its compounds a tendency to attain a certain highest limit rx_{_n_}. this view was particularly developed in the middle of the present century by frankland in studying the metallo-organic compounds, _i.e._ those in which x is wholly or partially a hydrocarbon radicle; for instance, x = ch_{ } or c_{ }h_{ } &c. thus, for example, antimony, sb (chapter xix.) gives, with chlorine, compounds sbcl_{ } and sbcl_{ } and corresponding oxygen compounds sb_{ }o_{ } and sb_{ }o_{ }, whilst under the action of ch_{ }i, c_{ }h_{ }i, or in general ei (where e is a hydrocarbon radicle of the paraffin series), upon antimony or its alloy with sodium there are formed sbe_{ } (for example, sb(ch_{ })_{ }, boiling at about °), which, corresponding to the lower form of combination sbx_{ }, are able to combine further with ei, or cl_{ }, or o, and to form compounds of the limiting type sbx_{ }; for example, sbe_{ }cl corresponding to nh_{ }cl with the substitution of nitrogen by antimony, and of hydrogen by the hydrocarbon radicle. the elements which are most chemically analogous are characterised by the fact of their giving compounds of similar form rx_{_n_}. the halogens which are analogous give both higher and lower compounds. so also do the metals of the alkalis and of the alkaline earths. and we saw that this analogy extends to the composition and properties of the nitrogen and hydrogen compounds of these metals, which is best seen in the salts. many such groups of analogous elements have long been known. thus there are analogues of oxygen, nitrogen, and carbon, and we shall meet with many such groups. but an acquaintance with them inevitably leads to the questions, what is the cause of analogy and what is the relation of one group to another? if these questions remain unanswered, it is easy to fall into error in the formation of the groups, because the notions of the degree of analogy will always be relative, and will not present any accuracy or distinctness thus lithium is analogous in some respects to potassium and in others to magnesium; beryllium is analogous to both aluminium and magnesium. thallium, as we shall afterwards see and as was observed on its discovery, has much kinship with lead and mercury, but some of its properties appertain to lithium and potassium. naturally, where it is impossible to make measurements one is reluctantly obliged to limit oneself to approximate comparisons, founded on apparent signs which are not distinct and are wanting in exactitude. but in the elements there is one accurately measurable property, which is subject to no doubt--namely, that property which is expressed in their atomic weights. its magnitude indicates the relative mass of the atom, or, if we avoid the conception of the atom, its magnitude shows the relation between the masses forming the chemical and independent individuals or elements. and according to the teaching of all exact data about the phenomena of nature, the mass of a substance is that property on which all its remaining properties must be dependent, because they are all determined by similar conditions or by those forces which act in the weight of a substance, and this is directly proportional to its mass. therefore it is most natural to seek for a dependence between the properties and analogies of the elements on the one hand and their atomic weights on the other. this is the fundamental idea which leads _to arranging all the elements according to their atomic weights_. a periodic repetition of properties is then immediately observed in the elements. we are already familiar with examples of this:-- f = , cl = · , br = , i = , na = , k = , rb = , cs = , mg = , ca = , sr = , ba = . the essence of the matter is seen in these groups. the halogens have smaller atomic weights than the alkali metals, and the latter than the metals of the alkaline earths. therefore, _if all the elements be arranged in the order of their atomic weights, a periodic repetition of properties is obtained_. this is expressed by the _law of periodicity_, _the properties of the elements, as well as the forms and properties of their compounds, are in periodic dependence or (expressing ourselves algebraically) form a periodic function of the atomic weights of the elements_.[ ] table i. of _the periodic system of the elements_, which is placed at the very beginning of this book, is designed to illustrate this law. it is arranged in conformity with the eight types of oxides described in the preceding pages, and those elements which give the oxides, r_{ }o and consequently salts rx, form the st group; the elements giving r_{ }o_{ } or ro as their highest grade of oxidation belong to the nd group; those giving r_{ }o_{ } as their highest oxides form the rd group, and so on; whilst the elements of all the groups which are nearest in their atomic weights are arranged in series from to . the even and uneven series of the same groups present the same forms and limits, but differ in their properties, and therefore two contiguous series, one even and the other uneven--for instance, the th and th--form a period. hence the elements of the th, th, th, th, and th, or of the rd, th, th, th, and th, series form analogues, like the halogens, the alkali metals, &c. the conjunction of two series, one even and one contiguous uneven series, thus forms one large _period_. these periods, beginning with the alkali metals, end with the halogens. the elements of the first two series have the lowest atomic weights, and in consequence of this very circumstance, although they bear the general properties of a group, they still show many peculiar and independent properties.[ ] thus fluorine, as we know, differs in many points from the other halogens, and lithium from the other alkali metals, and so on. these lightest elements may be termed _typical elements_. they include-- h. li, be, b, c, n, o, f. na, mg.... in the annexed table all the remaining elements are arranged, not in groups and series, but _according to periods_. in order to understand the essence of the matter, it must be remembered that here the atomic weight gradually increases along a given line; for instance, in the line commencing with k = and ending with br = , the intermediate elements have intermediate atomic weights, as is clearly seen in table iii., where the elements stand in the order of their atomic weights. i. ii. iii. iv. v. vi. vii. i. ii. iii. iv. v. vi. vii. { even series. } mg al si p s cl k ca sc ti v cr mn fe co ni cu zn ga ge as se br rb sr y zr nb mo -- ru rh pd ag cd in sn sb te i cs ba la ce di? -- -- -- -- -- -- -- -- -- -- -- -- -- -- yb -- ta w -- os ir pt au hg tl pb bi -- -- -- -- -- th -- u { uneven series } the same degree of analogy that we know to exist between potassium, rubidium, and cæsium; or chlorine, bromine, and iodine; or calcium, strontium, and barium, also exists between the elements of the other vertical columns. thus, for example, zinc, cadmium, and mercury, which are described in the following chapter, present a very close analogy with magnesium. for a true comprehension of the matter[ ] it is very important to see that all the aspects of the distribution of the elements according to their atomic weights essentially express one and the same fundamental _dependence_--_periodic properties_.[ ] the following points then must be remarked in it. [ ] the periodic law and the periodic system of the elements appeared in the same form as here given in the first edition of this work, begun in and finished in . in laying out the accumulated information respecting the elements, i had occasion to reflect on their mutual relations. at the beginning of i distributed among many chemists a pamphlet entitled 'an attempted system of the elements, based on their atomic weights and chemical analogies,' and at the march meeting of the russian chemical society, , i communicated a paper 'on the correlation of the properties and atomic weights of the elements.' the substance of this paper is embraced in the following conclusions: ( ) the elements, if arranged according to their atomic weights, exhibit an evident _periodicity_ of properties. ( ) elements which are similar as regards their chemical properties have atomic weights which are either of nearly the same value (platinum, iridium, osmium) or which increase regularly (_e.g._ potassium, rubidium, cæsium). ( ) the arrangement of the elements or of groups of elements in the order of their atomic weights corresponds with their so-called _valencies_. ( ) the elements, which are the most widely distributed in nature, have _small_ atomic weights, and all the elements of small atomic weight are characterised by sharply defined properties. they are therefore typical elements. ( ) the _magnitude_ of the atomic weight determines the character of an element. ( ) the discovery of many yet unknown elements may be expected. for instance, elements analogous to aluminium and silicon, whose atomic weights would be between and . ( ) the atomic weight of an element may sometimes be corrected by aid of a knowledge of those of the adjacent elements. thus the combining weight of tellurium must lie between and , and cannot be . ( ) certain characteristic properties of the elements can be foretold from their atomic weights. the entire periodic law is included in these lines. in the series of subsequent papers ( - , for example, in the _transactions_ of the russian chemical society, of the moscow meeting of naturalists, of the st. petersburg academy, and liebig's _annalen_) on the same subject we only find applications of the same principles, which were afterwards confirmed by the labours of roscoe, carnelley, thorpe, and others in england; of rammelsberg (cerium and uranium), l. meyer (the specific volumes of the elements), zimmermann (uranium), and more especially of c. winkler (who discovered germanium, and showed its identity with ekasilicon), and others in germany; of lecoq de boisbaudran in france (the discoverer of gallium = ekaaluminium); of clève (the atomic weights of the cerium metals), nilson (discoverer of scandium = ekaboron), and nilson and pettersson (determination of the vapour density of beryllium chloride) in sweden; and of brauner (who investigated cerium, and determined the combining weight of tellurium = ) in austria, and piccini in italy. i consider it necessary to state that, in arranging the periodic system of the elements, i made use of the previous researches of dumas, gladstone, pettenkofer, kremers, and lenssen on the atomic weights of related elements, but i was not acquainted with the works preceding mine of de chancourtois (_vis tellurique_, or the spiral of the elements according to their properties and equivalents) in france, and of j. newlands (law of octaves--for instance, h, f, cl, co, br, pd, i, pt form the first octave, and o, s, fe, se, rh, te, au, th the last) in england, although certain germs of the periodic law are to be seen in these works. with regard to the work of prof. lothar meyer respecting the periodic law (notes and ), it is evident, judging from the method of investigation, and from his statement (liebig's _annalen, supt. band _, , ), at the very commencement of which he cites my paper of above mentioned, that he accepted the periodic law in the form which i proposed. in concluding this historical statement i consider it well to observe that no law of nature, however general, has been established all at once; its recognition is always preceded by many hints; the establishment of a law, however, does not take place when its significance is recognised, but only when it has been confirmed by experiment, which the man of science must consider as the only proof of the correctness of his conjectures and opinions. i therefore, for my part, look upon roscoe, de boisbaudran, nilson, winkler, brauner, carnelley, thorpe, and others who verified the adaptability of the periodic law to chemical facts, as the true founders of the periodic law, the further development of which still awaits fresh workers. [ ] this resembles the fact, well known to those having an acquaintance with organic chemistry, that in a series of homologues (chapter viii.) the first members, in which there is the least carbon, although showing the general properties of the homologous series, still present certain distinct peculiarities. [ ] besides arranging the elements (_a_) in a successive order according to their atomic weights, with indication of their analogies by showing some of the properties--for instance, their power of giving one or another form of combination--both of the _elements_ and of their compounds (as is done in table iii. and in the table on p. ), (_b_) according to periods (as in table i. at the commencement of volume i. after the preface), and (_c_) according to groups and series or small periods (as in the same tables), i am acquainted with the following methods of expressing the periodic relations of the elements: ( ) by a curve drawn through points obtained in the following manner: the elements are arranged along the horizontal axis as abscissæ at distances from zero proportional to their atomic weights, whilst the values for all the elements of some property--for example, the specific volumes or the melting points, are expressed by the ordinates. this method, although graphic, has the theoretical disadvantage that it does not in any way indicate the existence of a limited and definite number of elements in each period. there is nothing, for instance, in this method of expressing the law of periodicity to show that between magnesium and aluminium there can be no other element with an atomic weight of, say, , atomic volume , and in general having properties intermediate between those of these two elements. the actual periodic law does not correspond with a continuous change of properties, with a continuous variation of atomic weight--in a word, it does not express an uninterrupted function--and as the law is purely chemical, starting from the conception of atoms and molecules which combine in multiple proportions, with intervals (not continuously), it _above all_ depends on there being but few types of compounds, which are arithmetically simple, _repeat themselves_, and offer no uninterrupted transitions, so that each period can only contain a definite number of members. for this reason there can be no other elements between magnesium, which gives the chloride mgcl_{ }, and aluminium, which forms alx_{ }; there is a break in the continuity, according to the law of multiple proportions. the periodic law ought not, therefore, to be expressed by geometrical figures in which continuity is always understood. owing to these considerations i never have and never will express the periodic relations of the elements by any geometrical figures. ( ) _by a plane spiral._ radii are traced from a centre, proportional to the atomic weights; analogous elements lie along one radius, and the points of intersection are arranged in a spiral. this method, adopted by de chancourtois, baumgauer, e. huth, and others, has many of the imperfections of the preceding, although it removes the indefiniteness as to the number of elements in a period. it is merely an attempt to reduce the complex relations to a simple graphic representation, since the equation to the spiral and the number of radii are not dependent upon anything. ( ) _by the lines of atomicity_, either parallel, as in reynolds's and the rev. s. haughton's method, or as in crookes's method, arranged to the right and left of an axis, along which the magnitudes of the atomic weights are counted, and the position of the elements marked off, on the one side the members of the even series (paramagnetic, like oxygen, potassium, iron), and on the other side the members of the uneven series (diamagnetic, like sulphur, chlorine, zinc, and mercury). on joining up these points a periodic curve is obtained, compared by crookes to the oscillations of a pendulum, and, according to haughton, representing a cubical curve. this method would be very graphic did it not require, for instance, that sulphur should be considered as bivalent and manganese as univalent, although neither of these elements gives stable derivatives of these natures, and although the one is taken on the basis of the lowest possible compound sx_{ }, and the other of the highest, because manganese can be referred to the univalent elements only by the analogy of kmno_{ } to kclo_{ }. furthermore, reynolds and crookes place hydrogen, iron, nickel, cobalt, and others outside the axis of atomicity, and consider uranium as bivalent without the least foundation. ( ) rantsheff endeavoured to classify the elements in their periodic relations by a system dependent on solid geometry. he communicated this mode of expression to the russian chemical society, but his communication, which is apparently not void of interest, has not yet appeared in print. ( ) _by algebraic formulæ_: for example, e. j. mills ( ) endeavours to express all the atomic weights by the logarithmic function a = (_n_ - · _t_), in which the variables _n_ and _t_ are whole numbers. for instance, for oxygen _n_ = , _t_ = ; hence a = · ; for antimony _n_ = , _t_ = ; whence a = , and so on. _n_ varies from to and _t_ from to . the analogues are hardly distinguishable by this method: thus for chlorine the magnitudes of _n_ and _t_ are and ; for bromine and ; for iodine and ; for potassium and ; for rubidium and ; for cæsium and ; but a certain regularity seems to be shown. ( ) a more natural method of expressing the dependence of the properties of elements on their atomic weights is obtained by _trigonometrical functions_, because this dependence is periodic like the functions of trigonometrical lines, and therefore ridberg in sweden (lund, ) and f. flavitzky in russia (kazan, ) have adopted a similar method of expression, which must be considered as worthy of being worked out, although it does not express the absence of intermediate elements--for instance, between magnesium and aluminium, which is essentially the most important part of the matter. ( ) the investigations of b. n. tchitchérin ( , _journal of the russian physical and chemical society_) form the first effort in the latter direction. he carefully studied the alkali metals, and discovered the following simple relation between their atomic volumes: they can all be expressed by a( - · a_n_), where a is the atomic weight and _n_ = for lithium and sodium, / for potassium, / for rubidium, and / for cæsium. if _n_ always = , then the volume of the atom would become zero at a = - / , and would reach its maximum when a = - / , and the density increases with the growth of a. in order to explain the variation of _n_, and the relation of the atomic weights of the alkali metals to those of the other elements, as also the atomicity itself, tchitchérin supposes all atoms to be built up of a primary matter; he considers the relation of the central to the peripheric mass, and, guided by mechanical principles, deduces many of the properties of the atoms from the reaction of the internal and peripheric parts of each atom. this endeavour offers many interesting points, but it admits the hypothesis of the building up of all the elements from one primary matter, and at the present time such an hypothesis has not the least support either in theory or in fact. besides which the starting-point of the theory is the specific gravity of the metals at a definite temperature (it is not known how the above relation would appear at other temperatures), and the specific gravity varies even under mechanical influences. l. hugo ( ) endeavoured to represent the atomic weights of li, na, k, rb, and cs by geometrical figures--for instance, li = represents a central atom = and six atoms on the six terminals of an octahedron; na, is obtained by applying two such atoms on each edge of an octahedron, and so on. it is evident that such methods can add nothing new to our data respecting the atomic weights of analogous elements. [ ] many natural phenomena exhibit a dependence of a periodic character. thus the phenomena of day and night and of the seasons of the year, and vibrations of all kinds, exhibit variations of a periodic character in dependence on time and space. but in ordinary periodic functions one variable varies continuously, whilst the other increases to a limit, then a period of decrease begins, and having in turn reached its limit a period of increase again begins. it is otherwise in the periodic function of the elements. here the mass of the elements does not increase continuously, but abruptly, by steps, as from magnesium to aluminium. so also the valency or atomicity leaps directly from to to , &c., without intermediate quantities, and in my opinion it is these properties which are the most important, and it is their periodicity which forms the substance of the periodic law. it expresses _the properties of the real elements_, and not of what may be termed their manifestations visually known to us. the external properties of elements and compounds are in periodic dependence on the atomic weight of the elements only because these external properties are themselves the result of the properties of the real elements which unite to form the 'free' elements and the compounds. to explain and express the periodic law is to explain and express the cause of the law of multiple proportions, of the difference of the elements, and the variation of their atomicity, and at the same time to understand what mass and gravitation are. in my opinion this is still premature. but just as without knowing the cause of gravitation it is possible to make use of the law of gravity, so for the aims of chemistry it is possible to take advantage of the laws discovered by chemistry without being able to explain their causes. the above-mentioned peculiarity of the laws of chemistry respecting definite compounds and the atomic weights leads one to think that the time has not yet come for their full explanation, and i do not think that it will come before the explanation of such a primary law of nature as the law of gravity. it will not be out of place here to turn our attention to the many-sided correlation existing between the undecomposable _elements and the compound carbon radicles_, which has long been remarked (pettenkofer, dumas, and others), and reconsidered in recent times by carnelley ( ), and most originally in pelopidas's work ( ) on the principles of the periodic system. pelopidas compares the series containing eight hydrocarbon radicles, c_{_n_}h_{ _n_ + }, c_{_n_}h_{ _n_} &c., for instance, c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ }, c_{ }h_{ }, and c_{ }h_{ }--with the series of the elements arranged in eight groups. the analogy is particularly clear owing to the property of c_{_n_}h_{ _n_+ } to combine with x, thus reaching saturation, and of the following members with x_{ }, x_{ } ... x_{ }, and especially because these are followed by an aromatic radicle--for example, c_{ }h_{ }--in which, as is well known, many of the properties of the saturated radicle c_{ }h_{ } are repeated, and in particular the power of forming a univalent radicle again appears. pelopidas shows a confirmation of the parallel in the property of the above radicles of giving oxygen compounds corresponding with the groups in the periodic system. thus the hydrocarbon radicles of the first group--for instance, c_{ }h_{ } or c_{ }h_{ }--give oxides of the form r_{ }o and hydroxides rho, like the metals of the alkalis; and in the third group they form oxides r_{ }o_{ } and hydrates ro_{ }h. for example, in the series ch_{ } the corresponding compounds of the third group will be the oxide (ch)_{ }o_{ } or c_{ }h_{ }o_{ }--that is, formic anhydride and hydrate, cho_{ }h, or formic acid. in the sixth group, with a composition of c_{ }, the oxide ro_{ } will be c_{ }o_{ }, and hydrate c_{ }h_{ }o_{ }--that is, also a bibasic acid (oxalic) resembling sulphuric, among the inorganic acids. after applying his views to a number of organic compounds, pelopidas dwells more particularly on the radicles corresponding with ammonium. with respect to this remarkable parallelism, it must above all be observed that in the elements the atomic weight increases in passing to contiguous members of a higher valency, whilst here it decreases, which should indicate that the periodic variability of elements and compounds is subject to some higher law whose nature, and still more whose cause, cannot at present be determined. it is probably based on the fundamental principles of the internal mechanics of the atoms and molecules, and as the periodic law has only been generally recognised for a few years it is not surprising that any further progress towards its explanation can only be looked for in the development of facts touching on this subject. . the composition of the higher oxygen compounds is determined by the groups: the first group gives r_{ }o, the second r_{ }o_{ } or ro, the third r_{ }o_{ }, &c. there are eight types of oxides and therefore eight groups. two groups give a period, and the same type of oxide is met with twice in a period. for example, in the period beginning with potassium, oxides of the composition ro are formed by calcium and zinc, and of the composition ro_{ } by molybdenum and tellurium. the oxides of the even series, of the same type, have stronger basic properties than the oxides of the uneven series, and the latter as a rule are endowed with an acid character. therefore the elements which exclusively give bases, like the alkali metals, will be found at the commencement of the period, whilst such purely acid elements as the halogens will be at the end of the period. the interval will be occupied by intermediate elements, whose character and properties we shall afterwards describe. it must be observed that the acid character is chiefly proper to the elements with small atomic weights in the uneven series, whilst the basic character is exhibited by the heavier elements in the even series. hence elements which give acids chiefly predominate among the lightest (typical) elements, especially in the last groups; whilst the heaviest elements, even in the last groups (for instance, thallium, uranium) have a basic character. thus the basic and acid characters of the higher oxides are determined (_a_) by the type of oxide, (_b_) by the even or uneven series, and (_c_) by the atomic weight.[ bis] the groups are indicated by roman numerals from i. to viii. . _the hydrogen compounds_ being volatile or gaseous substances which are prone to reaction--such as hcl, h_{ }o, h_{ }n, and h_{ }c[ ]--are only formed by the elements of the uneven series and higher groups giving oxides of the forms r_{ }o_{_n_}, ro_{ }, r_{ }o_{ }, and ro_{ }. . if an element gives a hydrogen compound, rx_{_m_}, it forms an _organo-metallic compound_ of the same composition, where x = c_{_n_}h_{ _n_ + }; that is, x is the radicle of a saturated hydrocarbon. the elements of the uneven series, which are incapable of giving hydrogen compounds, and give oxides of the forms rx, rx_{ }, r_{x} , also give organo-metallic compounds of this form proper to the higher oxides. thus zinc forms the oxide zno, salts znx_{ } and zinc ethyl zn(c_{ }h_{ })_{ }. the elements of the even series do not seem to form organo-metallic compounds at all; at least all efforts for their preparation have as yet been fruitless--for instance, in the case of titanium, zirconium, or iron. . the atomic weights of elements belonging to contiguous periods differ approximately by ; for example, k