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no lead dioxide is produced; the oxygen must be produced by a chemical reaction in the system of which the body to be oxidised forms a part. Similarly, if hydrogen is produced, by the interaction of zinc and dilute sulphuric acid, in a solution containing sodium sulphite (Na So), hydrogen sulphide (HS) is produced; but if hydrogen is passed into a solution sodium sulphite hydrogen sulphide is not produced: the hydrogen must be produced by a chemical reaction in the system of which the sodium sulphite forms a part.

In Chap. xiv. par. 266 we briefly considered the changes of energy which accompany such chemical changes as these.

The molecular and atomic theory throws some light on these changes. This theory leads to the view that a system composed of atoms of a specified element, could such a system exist, would differ from a system composed of molecules of the same element. It also leads to the view that in very many, if not most, chemical changes, the formation of the molecules of the products of the change is preceded by the breaking up into atoms, or sometimes into groups of atoms, of the molecules of the interacting substances. And, lastly, the theory almost obliges us to believe that a system composed of atoms of one of those elements the molecules of which are built up of more than a single atom (s. table in par. 317), if it could exist would be extremely unstable, and would almost at once pass into a system composed of molecules of the same element.

The application of these conceptions to the class of changes we are considering affords some explanation of the mechanism of these changes. The explanation may be stated as follows. Under ordinary conditions quantities of oxygen or hydrogen consist of molecules of these gases. Oxygen passed into potash holding lead monoxide in suspension does not oxidise the lead oxide, because the affinity between molecules of oxygen and lead monoxide is not sufficient to produce this change, and there is not sufficient energy available in the system for separating the molecules of oxygen into atoms: but when potash and chlorine interact, atoms of oxygen are produced; these atoms combine with the molecules of lead monoxide to form lead dioxide, and in this change more energy is degraded than would be the case if the atoms of oxygen had combined with each other to form molecules of oxygen.

A similar explanation would be given of the interaction between sodium sulphite and the atoms of hydrogen produced by the interaction of zinc and sulphuric acid.

Chemical changes which are brought about by elements only when these are themselves products of a part of the complete change are sometimes classed together as nascent actions. The name has been useful as marking a class of reactions which have a common feature. If the view here taken of these reactions is correct, there is nothing in any way abnormal about them; they belong to the ordinary type of chemical change.

It is evident then that the molecular and atomic theory 340 brings into one point of view, and gives fairly simple explanations of, many classes of chemical occurrences. It also indicates directions in which experiments ought to proceed with the object of discovering and explaining new classes of chemical events.

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The words law, hypothesis, and theory, have been frequently used in this book.

The word law has sometimes been employed as synonymous with a general truth; for instance the laws of chemical combination are general truths, they summarise many facts. The same term, law, is sometimes used as meaning an abstract truth; for instance, Newton's laws of motion are truths involved in many phenomena although actually seen in none. The statement equal volumes of gases contain equal numbers of molecules' has been called a law. This statement is really a deduction from a theory. The deduction has a definite meaning when the terms in which it is made are defined, but this can be done only by granting the fundamental assumptions of the theory. The 'law' stands or falls with the theory.

The molecular and atomic theory, like all scientific theories, is based on certain assumptions. The fewer, the simpler, and the more binding, the assumptions on which a theory rests the better is the theory. One of the marks of a satisfactory theory is the impossibility of escaping from discrepancies between observed facts and deductions from the theory by the invention of subsidiary hypotheses which do not follow directly from the assumptions on which the theory rests. The molecular and atomic theory, it must be confessed, has been too elastic in this respect.

An hypothesis is specially framed to explain a definite occurrence, or a series of occurrences. For instance, when Davy found that nitric acid was formed at the positive electrode during the electrolysis of water, he framed the hypothesis that the air surrounding the decomposing water was the source of the acid : he was able to prove by direct experiment that this hypothesis was correct. An hypothesis is sometimes stated in very general terms, and is used to explain a great many apparently unconnected facts. For instance, very many facts concerning chemical change are generalised in the hypothesis that 'the amount of a chemical change is proportional to the affinities and the active masses of the substances taking part in the change'. A direct and final experimental proof of such an hypothesis as this can scarcely be given. If the terms can be accurately defined, and if after prolonged inquiry no facts are discovered which negative the hypothesis, it is adopted as a trustworthy guide.

CHAPTER XVII.

ISOMERISM AND STRUCTURAL FORMULAE.

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In the last chapter we had an instance of isomerism; namely, the existence of three different compounds all having the molecular composition expressed by the formula C.H...

The prominent fact of isomerism is, that two or more compounds sometimes exist having identical compositions, and identical specific gravities in the state of gases, and yet exhibiting different properties. The statement of this fact in the language of the molecular and atomic theory is, that two or more gaseous molecules may exist composed of the same number of the same atoms, and yet differing from each other in their properties.

An instance of isomerism is furnished by the existence of two compounds having the composition C,H,O. One of these is ethylic alcohol, the other is methylic ether. Ethylic alcohol interacts with potassium or sodium thus, C 7.0+ K = C,H, KO +H; methylic ether and potassium (or sodium) do not interact. Phosphorus pentachloride interacts with both isomerides; the interactions are these :

(1) alcohol; CHO+PCI = CH.Cl + POCI, + HCl.

(2) ether; C71,09+ PCI, ECH,CÎ + CH CI # POCI..

The alcohol is easily oxidised, first to aldehyde C,H,O, then to acetic acid C,H,O,; the ether is not easily oxidised. Ethylic alcohol is a colourless, volatile, liquid, boiling at 780.3; methylic ether is a colourless gas which may be condensed by cold to a liquid boiling at -210.

Another instance of isomerism is furnished by the existence of four hydrocarbons having the molecular composition CH These bodies are all liquids, boiling at 134, 136°—137,

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137°—137o.5, and 140°—141', respectively. That which boils

° at 134° is easily oxidised to an acid having the composition C,H,O,

The other three are oxidised to three different acids alí having the composition C,H,O, The conditions under which these three hydrocarbons oxidised

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somewhat. The four hydrocarbons C, H,, are evidently very similar in 343 their chemical properties; the two compounds C, H,0 are less closely related to each other. Compounds which have the same composition and the same molecular weight, but which shew differences in their chemical properties so decided as to require them to be placed in different classes, are sometimes said to be metameric. Metamerism is included in the wider term isomerism.

The molecular and atomic theory endeavours to explain 344 isomerism by saying that the properties of molecules depend, among other conditions, on the arrangement of their parts. Is this assertion justified by facts ?

Before we can profitably attempt an answer to this question we must understand what is meant by the phrase "arrangement of the parts of a molecule'.

In Chap. XIII. par. 247 a very brief account was given of the 345 use of the expression equivalent weights of two alkalis'. We must now look more fully at the notion of chemical equivalency.

88•8 parts by weight of potash (KOH), 63.5 parts by weight of soda (NaOH), and 38.1 parts by weight of lithia (Lion), severally neutralise 100 parts by weight of nitric acid. These masses, 88.8, 63.5, 38.1, of the three alkalis are therefore equivalent as regards power of neutralising a specified mass of nitric acid, inasmuch as these masses are of equal value in exchange. 100 parts by weight of sulphuric acid are neutralised by 114.3 parts by weight of potash, or by 81.6 parts by weight of soda, or by 49 parts by weight of lithia. These numbers, 114.3, 81:6, and 49, represent masses of the three alkalis which are equivalent as regards power of neutralising a specified mass of sulphuric acid. Now the ratio 88.8 : 63.5 : 38:1 is the same as the ratio 114:3 : 81.6 : 49. If the masses of these three alkalis required to neutralise 100 parts by weight of each of several acids are determined, it is found that these masses always bear the same ratio to one another. Hence it is possible to assign values to these three alkalis representing those masses of them which are equivalent as regards power of neutralising one and the same

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mass of any specified acid. Similarly, it is possible to assign values to the acids which shall represent those masses of them which severally neutralise one and the same mass of any specified alkali.

In determining the equivalent weights of the alkalis it is customary to take one reacting weight (or we may say one molecule) of hydrochloric acid as the unit mass of standard acid. The reacting weight of hydrochloric acid (HCl) is 36.5: one reacting weight of this acid is neutralised by (in round numbers) 56 parts by weight of potash, 40 of soda, and 24 of lithia, respectively. The mass of sulphuric acid which is neutralised by each of these masses of potash, soda, or lithia is 49; the mass of chloric acid is 84.5; the mass of orthophosphoric acid is 32:6; the mass of metaphosphoric acid is 80; the mass of pyrophosphoric acid is 44.5; &c. &c. The numbers 36.5, 49, 84.5, 32-6, 80, 44.5 represent masses of the acids mentioned which are equivalent as regards power of neutralising 56 parts by weight of potash, or 40 parts of soda, or 24 of lithia.

The notion of equivalency may be extended to the elements. If we determine the masses of a series of metals which severally combine with 16 parts by weight of oxygen, we shall have determined the equivalent weights of these metals as regards this particular reaction.

Or we might cause a number of metals to interact with hydrochloric acid, and determine the mass of each metal which thus produced 1 gram of hydrogen ; these masses would represent equivalent weights of the metals as regards this particular reaction.

When therefore we speak of the equivalent weight of an element or compound there is always implied a comparison of the specified substance with some other substance as regards power of performing a definite chemical operation. Equivalent weights represent quantities of elements or compounds which can be exchanged in some specified chemical process.

The expression equivalent weight of an element is frequently used somewhat loosely. In order to determine equivalent weights, elements are generally compared as regards their combination with oxygen, and 8 parts by weight is usually chosen as the standard mass of oxygen. Hence the equivalent weight of an element generally means the mass of it which combines with 8 parts by weight of oxygen.

In the cases of elements which do not combine with oxygen, hydrogen is

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