﻿Molecular Thermodynamics. 623 



Since M u ' = M 4- Sn s u s , 



let us write (as we have already done) N for %n s , and also 



=2n s [« So +AC+ 7s C 2 +^C s ], 



and a = a + pC+vC 2 +lC\ 



so that a =^^\^=^\etc., . . (56a) 



i c s ^ 1*M) i , -n 



aml ,; = r = M =1 + aC 



= l+S C+^C 2 + yC 3 + SC 4 . . . (57) 



If a ; /3, J), 8 are not to be determined, but are already 

 accurately known, equations (56) can be used as they are, for 

 the " experimental v concentrations can be translated into 

 " true " concentrations by means of a curve plotted from 

 (57). 



We are dealing now with the more common case where 

 a , ft, etc., are not known. 



From (57), in a fairly obvious manner, we obtain 



Mi = l + r 1 C' + r 2 0' 2 +)' 3 C' 3 + »-4C'S . .' (58) 



jSIq 



where 



r 2 =(Z 2 +~P), r 4 = (S 4 + 6a 2 ^+4a 7 + 2^ 2 + S] ' 



an< 



log ^L^C' + kC'^hC'z + hC'*, . . (60; 



where 



/ 1 = « 0? / 3 = (3«o 3 + 2' ^ + 7), 



5 + 7) 5 I 



^+3Vy + f/3 2 + S)j* ^ J 



It is now a straightforward matter to eliminate C and 

 '■, from the " linear " terms in (56), obtaining 



Jvr> = <t>* + RG ' [ 1 + h& + 1 2 0' 2 + * 3 c" + tsy*] + Gk, 



O"* J 



.... (62) 



