( 488 ) 
ce (la) 1 
a 1 l n° 1 
(ale (n—1)? le ne 
1 
in which « lies between O and — — 1; whereas to reach the points 
x 
lying above the tangent on the side of P we need not go further 
— 1. Of course in the same way as illustrated in an 
[ian ae 
— 
example above we have again to consider whether all these points 
points probably occur by investigating the value of 7°. 
cv (1—2) ; 
— has been given, now consists of two 
a 
The form in which 
1 n° 1 
(n—1)?a | (n—1)? l-« 
depends only on n, but the second part « depends also on e, and é,, 
and as the second member of the inequality which is to be in- 
vestigated, does depend only on n, we cannot expect the circumstance 
parts in the denominator. The first part 
d et? on . 
whether eae = 0, when disappearing, lies in the positive region of 
Ls 
dp . | 
— or in the negative one, only to depend on the ratio of the size 
of the molecules. But this we may at once consider as a result 
obtained that as the parailel line is farther from the origin, and so 
the values of s, and e, are larger, the value of the first member of 
the inequality becomes smaller, and so there is a greater chance that 
the second member exceeds the first. For greater values of ¢, and e, 
Pw 
dz’ 
there is a greater chance that the disappearance of == '0 takes 
dt 
place in the region where el < 0, and the degree of the non- 
av 
miscibility will be limited. Or rather, a phenomenon that attends 
non-miscibility, will be checked by this. Thus for 7 == %, for which 
iL 1 n 
“v——, and y= ee and —=— — 1, the first member of the inequa- 
3 f 2 n— 
2 
lity will be equal to 2 for the origin, to = for the points of the 
1 = 
tangent mentioned, and 5 for the point P if we include also the 
lefthand part above the tangent in our calculation ; the second member 
2 d* : ‘ 
is equal to En Then ST disappears just on the verge of the 
la 
