24 ART. 10. K. IKEDA : STUDIES ON THE 



this case, can be deduced in tlie following manner. Let Z" be 

 the thermodynamic potential of one mol of the solid phase, then, 



because one mol of the solid phase produces on melting v^ mois 

 of ©1, v-y mois of ©2> etc., and in the state of equilibrium there 

 could be neither gain nor loss of available energy on fusion. 

 But as has been established in § 1, 



H, = z. + liTlna 



.(3) 



hence 



Z" = v,%, + v.z,+ + v,nTlnC\+v.AlTlnC2-\- 



and as Z", z^, %, can be considered to be nearly in- 

 dependent of pressure, they are constant at a constant tempera- 

 ture. Therefore 



Vi In C\ + u, In C..+ = hi K = coust, 



which is equation (14) in logarithms. 



Equation (14) admits of some interesting deductions. For 

 this purpose we will put 



_ .. 1 





— /I 



Vi + V,+ 



^-J (15) 



J 



and 



/I /:; 



'=y- (16) 



Ix, /'.2, are the molar fractions of ^Si, ©2, in the melt 



