﻿616 Mr. Bernard Cavanagh on 



means o£ the relations 



M c ' C 

 l-2 < -/«. = H 4=^ = ^, .... (31) 



we obtain a function (say, G") of the "experimental" 

 concentrations (C',c/) and of the various #'s, as inde- 

 pendent variables, and clearly 



aft" r /BGT\ = / 5M 'ft" \ -I = / 3MqQ' \ 



L 0«s J i l \ dn„ ) z \dn s /Uo',x 



= (l-X,)G So ' + 2^ 1 ft. 1 '-«,G M ', (32) 



for which we may therefore write G/', so that 



M 'G" = M 'G M ' + 2^G S " (33) 



On the other hand, 



3^ L M '\ 3^, /Mo'.nJ M '\ B«*x /M ',» 



_ 1 f n //BvsA , p ,/ 3n g (l — X s ) \ 



+ *c'(Pp) ] 



= c s '[G s /-G S0 '-M Sl G M '] = *'G, n " (say). . (34) 

 (19), (32), and (34) then give 



Jc=o 



J c^o 

 and therefore from (28) 



G = G"-2cA XG^'d^ 



Jc=o 



= G "- Sc8 'f^lf^' • • • (36) 



^c=o 



(35) and (36) being plainly in accord, as they must be, 

 with (29). 



