( 830 ) 



value for v — b. So it is better to express v — b in a value in 



db 



which — does not occur. We write bv the aid of formula (4) : 

 dx 



(v — b) = b 



z/2x\l—xy 

 \ — 2x 



■ >a-. v) 



\—2x 



W% 



{i-*y 



■2x 



or 



b i 3 i/4.i?(l-.r) 



V (1— 2xf ~ 



v—b 

 In I lie above table we find the values ot - calculated tor arbi- 



b 



trarily chosen values of x g . For values of x g (littering' very little 



v—b 

 from 1 /j |MC value of approaches 2i^ (1 — 2a;«) 8 . 



The value of MRT„ may be broughi under the following form : 



,i /•■ 



J/7^7' 7 = — .r (1 - .r) 



•(i-2*r 



Ml-.') 



1 + 



"(1 — 2.r)«' 



lr{\~c) 



I J 2 



3 



So the temperature at which the locus =0 vanishes depends 



tl.r'' 



in the first place on the value of x at which it vanishes, and in 

 the second place on the quantity — . As according to form, o x 



dx" 



d'a 



1 1 dx* 4 



may lie between - and - , the factor of — may vary between — 

 3 2 o 81 



and -. The value of that factor is therefore only determined by the 

 4 



4 

 ratio between f\ and 6 a . For b x = the value is — , for b 1 — 6 a 



ol 



this value is -. So the greater the difference in the size of the 

 4 fe 



molecules, the lower this factor, and the lower the temperature at 



which = has disappeared. And because the non-miscibility in 



dx % 



the liquid state is to a great extent due to the existence of 



dx~*~ 



0, 



