74 ART. 10. — K. IKEDA : STUDIES ON THE 



where Q is the molecular heat of fusion of the solid to a liquid 

 consisting of pure ©ß, and T^ is the hypothetical fusion point. 

 From equations (32), and (54) we get 



(j ^ Q-/R \Z T J vi2 V^o' T /^ 



But as 



Ave have 



1 — a— 0(^ 



X = 



l + {v-l)C\, 



i-q^rKz Tr.BViv t}_qR\i\' t) 

 ^ = -WTTZn ^^^^ 



1 +(,_!) e^V2V t) 



This is the equation of the fusion curve of the associated com- 

 ponent under the supposition made. This equation has also been 

 tested by Yamamoto for the fusion curve of phenol in the 

 above mentioned system, but it has not been found in satisfactory 

 agreement with observations. Whether solid phenol is a mixture 

 of two or more chemical species, or wdiether the data employed 

 in the calculation are at fault can not be determined. The 

 subject evidently requires more thorough study. 



§ 3. Systems with one Associated and two 

 Normal Components. 



(a) Homogeneous Equilibriuin. 



In the present case we have four chemical species ©«, ©ß, 

 ©1, and (So, the last two of which are normal substances. Their 

 molar fractions must satisfy the following equation : 



^« + C'ß+6'i + 6'o = 1 {bß) 



