( 'f^s ) 



To 5* 



After that a general expression foi' --- will be given. 



In order to find the approximate ex- 

 pression in question for the course of 

 tlie curve 1\A, we suppose for the 

 present, that « does vary with x, but 

 not with T. In the result we have then 

 simply to replace q by the total heat 

 of melting at ,r = Q^=iq-\- «„i (A is 

 the heat of dissociation), in order to 

 introduce the variability of « with T. 

 (see appendix). 



From (6) follows now immediately 

 tlie quadratic equation 



K 



a' (1 -,r) + a.v — ^— T--= 0. 



JC=0 



l+K 



K 



According to 



By putting .t^O, we see that , , ^^ is then = «„' 



the above provisional assumption it is now supposed, that also for 

 values of T, lower than 1\, the value of «„ holding for .t' ^ and 

 7'r= 1\, remains unchanged. Therefore in the equation 



o^(l— .») + a.v — «„' = 

 «„ is no longer a function of 7\ So we find for «: 



1—.V 



and hence 



l-« 



l-'A.r-l/V,.r' + «/(l-.r) 

 1 — .r 



In consequence of this we get : 



(1 _ a) (1 - ..) = 1 - '/, ■^- - 1/ I 



1 + « (1 _ .^.) =z 1 - V, .« + 1/ i ' 



so that we find for the quotient occurring under the sign log in (5) : 



1 - V, ■^' + ^/ 

 or also after multiplication of numerator and denominator by 

 1- V,.r— I/: 



. (1 + «/) (1 - -r) + 'A -'»' - 2 (1 - V, .X) V 

 (1 - «/) (1 - X) 



