HETEROGENEOUS EQUILIBRIUM 



285 



dp 



H' V 



H" V" 

 H'" V'" 



jlV 



Y^y V 



IV 



mi 

 mi 



77 



?W2 



mi 



It 



III 



IV 



ms 



W3' 

 ma 



IV 



Jjn+l yn+l ^^n+1 ^^"+1 m3"+l 

 JJn+2 7n+2 ^^71+2 ^^"+2 m3"+2 



mn 

 mn 



mn 



III 



IV 



mn 

 mn 



n+1 

 n+2 





H 



IV 



mi 



m 



mi 



// 



/// 



IV 



m2 

 m2 

 m2 



/// 



IV 



m3 



m3' 



ms 



/y 



Jjn+l r/ijn+l m2"+^ m3"+^ 



JJn+2 ^jn+2 ^^"+2 m3"+2 



m 



m„ 



mn 



II 



III 



IV 



mn 

 m, 



n+l 

 n+2 



(B) 



is positive. 



The numerators of the two expressions given above are 

 identical. When a Hnear relation exists between the phases, 



pill p 



IV 



pn+i^ pn+2^ ^YiQ denominators reduce to 



AH 



mi 

 mi' 



m2 

 m2 



/// 



ms 



ms 



/// 



mi"+^ m2"+^ m3"+^ 

 mi"+2 m2"+2 m3"+2 



and 



AH 



mi 

 mi 



n 



III 



mi 

 mi 



If 



mz 

 mz 



n 



mi"+^ m2"+^ m3"+^ 

 mi"+2 ^2"+^ W3"+2 



m^ 

 m. 



m„ 



n+l 

 n+2 



(C) 



m, 

 m„ 



// 



/// 



m,, 

 mn 



n+l 

 n+2 



(D) 



in which AH denotes the entropy change which takes place 

 when these n phases, P'", P'^, . . . P"+i, P"+2, react. 



