( 85 ) 



tin's integration, as it i-efers to a mixture of tlie (/ö/?n<Vé^ concentration 

 /?. (Only the condition of equilibrium — [i^ -\- )i (j^ z= defines this 

 value more closely). Hence we get for i2' -. 



S2 ={l + (n~l) ^) RT log '~\,~ + - - ?^, 



i + (w — 1) /? V 



so that we get for — — : 



öi2' v — h 



-— = {n-l)RTlog--— (n-l)RT-^ 



d^ 1 + (n—l) /? 



1 + {n — l) [3 /di' cZZ'A a dv dv 



We have, namely, assumed the quantity a to be independent of 

 ^. For: 



passes with ?ij^ ^1 — ^, n.^ = n^, a^^ = — , a^ = — into : 



n n^ 



a =: [{\--^y + 2 (I -/?) /5 + n a, = a, , 



i.e. independent of ^3. {a and a^ both refer to an 72-fold "molecular" 



quantit}'). In consequence of the equation of state all the terms with 



dv 



^- vanish, so that: 



ö<2' RT 



d,i p + «/„2 



is left, because 



b = iijj, + n,b, = (1- ,i) b, -f n^b, = b, + /^ (-^y + lib,) = b,^ ^3Ab. 

 So the quantity Ai6 = — ^i + nb,^ again represents the variation of 

 volume, when a comjiound molecule breaks up into n simple mole- 

 cules. We know particularly from my last paper on the solid state 

 that it depends entirely on the quantity hb whether this state exists 

 or not. As soon as /\b becomes = 0, there is no solid state any 

 lono-er. 



Then substitution of {(I) into {b) and introduction of the values 

 of C, and Cj gives: 



w"/?" 1 



log 



T{lo!iT-l){k,-^7ik,) + 



(l-i?)(l +(n-l)^)"-i RTl 

 + [{e^l-n (.,)„] - T [{,iX -- n {,i,\] -f [71-1) RT log RT - 



— (n-1) RTlog (p + ^/v^) - (n-1) RT — (p + %0 ^^ 

 or also: 



