﻿490 Mr. S. A. Shorter: Application of the Theory 



The value of the heat of dilution at any temperature is 

 given, in terms of its value at the temperature O , by 



r0 o 

 l {s, p, 0) = l (s,p, 6 ) — \ W (*,/>, t) dr. 



Je 



Substituting this value in equation (10) and performing 

 the integration with respect to 0, we obtain 



&o( s,p,0 2 ) _ A o (*,p,0{) 

 0. 2 0\ 



= —k (*, p, 0q) (j - J + -g- \ ° V 0, p, t) dr 



-1/ U. 2 l/Dj 



This exact formula connecting the values of the solvent 

 potential lowering at two different temperatures may be 

 simplified if we assume that the specific heats involved are 

 independent of the temperature. The equation then reduces to 



+'4«|^- , -l.gJ}. 03) 



For the purpose of practical calculation the coefficient 

 of Jq may be written in the form 



V{^i(*Sc*JLri(V/+-}- 



where — A -f- 2 



The Relation between tlie Osmotic Pressure and 

 Vapour-Pressure and the Free zing-Point. 



Equations (5) and (8) of Part I. give the value of the 

 solvent potential lowering in terms of the osmotic pressure 

 and vapour -pressure respectively. These two formulae 

 involve different values of the pressure, but the effect of 

 variations of pressure is easily calculated. Adopting a 

 notation for the mean value of B similar to that adopted in 

 the case of the function P , we have, if p\ and p 2 are two 



