the Theory of Solutions. 599 



1£ a mass M-^n^ is added to the solution, we get 

 pdi\ + Ydp = ^sl 1 dn ] 



and 7 : m^+m^ 'bp ^r 7 M 7 



p 0<* 0"i 



By a very simple calculation we get from this 



If the second component is treated in a similar manner, 



. . . (12 5) 



M 2 _ P - 



p-(l + e) 



9p 

 9c 





By help o£ equations (12 a) and (12 6) we can easilyprove 

 the following term : 



out of which immediately follow the equations 



k l =v 1 and k 2 =v 2 . 



According to a well known property of thermodynamic 

 potential, 



If we now introduce the values of co (equation 4 b) and V. 

 and obtain the partial derivatives with respect to MjWj and 

 M 2 « 2 j we get 



. p + c(l + c)|? 



• Oft _ r V Of »i 



d/>~~ ^ Mi' 



_ p-(l-fc)^ 

 dp" P 2 ~M 2 - 



From these equations : 



'"i "dp v 2 ~df> 

 The correctness of the equation (9) is thereby proved. 



