Pressures in Liquid Mixtures 

 By condition e } 



101 





(») 



is finite for all values of the n's (r,s = 1, 2, 3, . . ., k) (11) 



and 



<^ . 



^- is not for h = 0. . . . . (12) 

 From condition d or (10) and (9) follows 



Sfi- = for n = (r, s = 1, 2, 3, . . ., tc and r§ 5 ) 



for) 



= for # = (r, s = l, 2,3,..., «;— 1 and r^s), 



8^- = -N^ for ^=0 (r=l,2,3,...,«-l); 

 so that 



(13) 



a.. 



is neither nor infinite for a.^ = (r = 1, 2, 3, . . ., k— 1). 



From (9) follows 



»; =_ N-^t = N5t for ^ = ^=1,2,3,...;*-!), (14) 



so that, by (11), 

 -^- is finite and not for x m = (5 = 1, 2, 3, . . ., *— 1). . (15) 



From (7) and (11) follows that 

 -^- is finite for all values of the a's (r = 1, 2, 3, . . ., k — 1 ; I /^g\ 



««r .-1,8, 3,. ..,«). j 



By condition /, we have 



A = P« for *, = 1 (, m 1, 2, 3, „ ., «), . (17) 



where P s , for each value of s, is a perfectly definite constant 

 for the temperature in question. 



