The Fundamental Principles of Chemistry; An Introduction to All Text-Books of Chemistry
The Fundamental Principles of Chemistry; An Introduction to All Text-Books of Chemistry
Wilhelm Ostwald
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This is to be expected, for the coefficient of expansion has been shown to be independent of the nature of the gas (see Sec. 33). Digitized by Google 102 FUNDAMENTAL PRINCIPLES OF CHEMISTRY PV We can therefore write the expression -=- = r for a gas solu- •tion, and this' expression will be independent of pressure and tem- perature.' [The. tejpperature T and the volume V are common to all the* constituents of the solution, but each possesses its own partial pressure. The partial pressures are gi...ven by the relation p = PiH-p2+Ps f and there will be as many members as there are different gases which have taken part in the formation of the solution. If the values of r, which are calculated from the partial pressures of the individual gases, are called r^, Tj, r,, etc., we have a set of equations ^ = fj, ^ = fa, etc. By addition we obtain (Pi+Pa+Ps ) y = ''i+^3 + ''s y and smce ^ = r, we have r 1 -f fj + fj = r. This means that the gas constant r for a gas solution can be regarded as the sum of the gas con- stants of the constituents, when these are calculated in terms of the partial pressures.
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