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



impossible. From the point of view of the present method 

 of treatment of the subject, this may be explained in the 

 following way. Suppose that a solution of concentration & 

 under a pressure p is found to be in osmotic equilibrium with 

 a solution of concentration s + Ss under a pressure p + Bp. 

 By taking various values of the increment Bs, it is possible 

 to estimate the value of 



Lt ^ 



and since 



/oO, p, 6) =f Q (s + Ss,p + 8p, 6) , 

 we have 



8 (s,p,e) = -? (s,p,6)U°£. 



d s =o os 



If p is a sufficiently large pressure, then it will be possible 

 to find a pressure p such that 



Ms,p,0)=fo(o,po,e), 



in which case 



Ss=o os OS 



If we differentiate equation (17) of Part II. with respect 

 to the concentration, we obtain the following expression for 

 S (s, p, 6) in terms of freezing-point data : 



— T B C e ° o C e ° d 



+ ^J T f|/o , (*^,T)^ (11) 



If we suppose the specific heats involved in the above ex- 

 pression to be independent of the temperature, the equation 

 reduces to the simpler form 



SoCf,^, e)=f p |J [l -z„0,p, 0o)-.(T<,-T) 7i +(* o -T)y] 



+ 



