( -232 ) 

 1^1 = — pxcoë.i:\ ill the same way we can |)ut instead of these tlie 



points of the border curve with ( — - ) = — )>cinac, where pa-fnarindi- 

 cates the maximum Aapour tension of the mixture x, called by van 

 DER Waals the coincidence pressure. 



According to (1) the liquid branch of the binodal [ -^r, ) as func- 

 tion of ,v is obtained as the sum of three terms. 

 The first 



<fxx = .f % .f + (1 — A') lo<j (1 — ./•) (2) 



is only determined by the molecular composition. 

 The second term is derixed from the function 



''^' = " KJ ' '\ 



(3) 



if as the higher limit in the integral we take the reduced licpiid 

 volume \>u,i of a simple substance at the reduced temperature r. 

 We imagine that the function <f has been graphically represented 



once for all as a function of f. 



The properties of mixtures of a given })air of substances are 

 determined by 



Yv.r = — k'TiT- (4) 



J .tA: 



as a function of ./' and by -;— as a function of .'•. Bv combining the gra- 

 pineal representation of the latter with the graphical one of cp.st we 

 obtain ^f^s.i, the graphical representation of the value which the 

 quantity r/,-, adopts with the value of t, which belongs to x. Then the 

 liquid branch of the connodal line, and hence also the rim curve 

 and the border curve are satisfactorily given by : 



If? 



The quantity (i, which plays such an important part in the theory 

 of VAN DER Waals about the coexisting phases is, while neglecting 



pr, determined for the liquid phase by 7^5,. -}- r/-.^, = ■— - and the 



hi 



^ of VAN DER Waals also with the same neglection (for which 

 moreover a correction may easily be applied) := \p. 



