﻿Molecular Thermodynamics. 613 



and similarly 



^-s+S^-^-Sfc*-^ ' (8) 



whereby the (somewhat lengthy) full differentiation of (3) 

 with respect to the new variables reduces to 



3AJ '"5Mo' [) 



jg* = ^a* + (i-X s ) |± -*|JL . (10) 



-£*> (ii) 



equations of obvious physical significance. 

 Now (11) with (3) gives 



[JJ+Rlogfl,] = +. -Rlog(i-X.) 



+ B log/2? +5*0) + G,/ (12) 

 Lt rfi+RlogJ =^-Rlog(l-XO = *.(say),(13) 



c»o LO^s J 



and 



since X So , or Lt.X s , depends only on temperature and 

 pressure. c " w) 



Then 



[g + Rio g ,]=, s+ j; fo [g +RlogCs ], 



g=^-R.og, s+ £.[g + Rlog,J. . (14) 

 On the one hand, of course, 



^=U s -Rlog^ Rlog^f-'l+G,/; (15) 



m 

 but, on the other hand, from (8) and (10) we get 



<lt)-^Qt)^-MB-Aw} (16) 



