10 ART. 11. — T. YAMAMOTO : THE FUSION CURVES 



ond (C6H60)3 in tlie liquid. The theory of the ideal solution 

 then furnishes the following relation : 



G,=eR ^T, t)^ (13) 



in which T is the fusion point, 71 the hypothetical temperature 

 at which the solid phenol would be in equilibrium with the 

 liquid phase consisting of (CeHeO):^ alone, and ft is the hy- 

 pothetical molecular heat of fusion for (C6HgO)3. 

 From (2) and (13) 



C, = e^-^^Z Tr3E\l\ TJ. (14) 



and as 



X = 1 •« 



1 + 2 6'3 ' 

 we get for the fusion curve of phenol the expression : 



l_ß?>B\% TJ 3E\2\ T)_r>E\'l\ t) 

 X = ...(15) 



l + 2e^^^'i ^'^ 



Of the four constants contained in this equation D and % 

 can be evaluated from the fusion curve of phenol as shown in 

 the foregoing section, and the other two can be found in the 

 following manner. 



When (7/ and C-ï express the molar fraction of CeHßO and 

 (CeHgOja in the liquid phase at the melting point of pure phenol, 

 then 



C,'+C,' = 1 (16) 



Hence we have 



Cf={l-C\')^ 



