( 513 ) 



we find 



and therefore 



ƒ 



pdV=:2H,.RTlo,j{V-b)Jry. 



On^J V—b On ^"^^ ^ 



Deductino- from this 



dF_ 



V—b 



21 n^.RT a 

 V—b P^ 



V' Ö», 



Vhu 



bV 



we get : 



Ö 

 Ö 



2n,.RT 2 



^J^,dV-p — = 7^T% ( V-b) ^^^ /., + -^{n, a, + ;., a,,). 



Substituting a z= n^^ a^ -f 2 «^ ^^^ <^'ii + ''2^ <«3 f<»i" «, <^ii(l I he linear 

 relation b =: )i^b^ -\- n^ b^ for b in the case of two eoni})onents, tlie 

 expression for ^^ becomes : 



H, = - k,T{log T-1) - RT {log {V-b) - 1) + [(.,)„ - T{,iX] + 



2 



{n,a^ -{- H^a,^) -^ RTlogn,, (1) 



2n,.RT 



H - b. 



V-b 



V 



in agreement witli what I wi-ote down in my first communication. 

 If now we write u^ = 1— .v, ti^ ■=: .v, this then becomes: 



l^^ = - 1^J{log T-\) - RT {log {V-b) - 1) + [(.,)„ - T{n,),] + 



For the determination of tlie complete function of .'•, wliich occurs 

 here outside RTlog {l — x), we will now determine the vahie of 



RT b, 2 



The term with log (F — b) is supposed to be but very little dependent 



on x in regard to these two. If in the equation of condition we 



put ^> = 0, wiiich is certainly permissible in the case of li(|uid j)hases, 



RT a 



then ~ — - may be replaced by —, and the above ex})ressiou becomes: 



{ {l-xf a^ 4- 2 X {l-x) a,^ + .f' aj b, _ 2{{i—x)a^ +.fa,,) 

 __ _ . 



If now we rei)lace F by /', whicli A\ill hold Un- Ii(|iiids at low 

 temperatures in approximation, we obtain : 



35* 



