Pressures in Liquid Mixtures. 115 



and z = — -to a? 2 =l, ky (33'), 



-"-Jf^ (5r) 



Now, by (42'), (34'), and (280, 



by which any desired number o£ the coefficients c can be 

 calculated from a sufficient number o£ sets of corresponding 

 values of x Xl a 2 , z, pi, and p 2 . From these values of 

 the c's the values of a^ and a {2) for g as great as 1, and 

 not greater than the greatest suffix of any c by more than 1, 

 can be calculated by (53') and (52'). Then, from any one 

 set of corresponding values of z, p^ and p 2 , we have, by 

 (280 and (41'), 



a< 1 ) = la^-2a<V J a™ = In ^ - 2 a< 2 V, . (62') 

 «i it% * ° <^2 img 9 



where, by (53') , (52'), and (610, 



2, a z — - Z, c g Z — Z, —-rCg * \ -\ —z) <& c z -t-~ ^ „ 



i^ 9 Z i^ g i mg g + l g \2 / i^ i^* 1 



2 L Wi/ °J i^+i 



y „(2) ? 1 y ^ y # „ -*+i_ _ ( = 4. A V gJ.gV ^ ^ 



L \/*j V °J isjfl' + l 



1-' 



