where 3 is the degree of dissociation of the double molecules ; that 
va ='/,(1—86)v, + Br, where v, is the molecular volume of the 
double molecules, and 7, represents that of the single molecules; 
and then onee more the relation «,,=— Wa,a, has been used, by 
which again the calculation of 4 was practically possible. 
The expression for « reduced, in consequence of @,=4a,, @,,=2d,, 
Oo) Ores UO 
0 
a=(1—2)? a, 4+ a2’ a, + 2a(1— a) a, 
That for 6 or v to v=(1—2)v,, av, where v,, has the 
meaning as is indicated above. (The index O relates to the double 
molecules, the index 1 to the single molecules of the associative 
substance ; the index 2 relates to the second, normal substance). 
As is already briefly indicated above, it will be principally the 
factor (v, Wa,” Va)", on which the phenomenon, studied by us, 
depends. The great variability of the quantity v,, with the temperature 
is the only cause of all these peculiar phenomena of partial miscibility, 
occurring in the case of mixtures, when one of the components is 
anomalous, specially water. 
That factor will increase more and more with the temperature, 
because v,, decreases in consequence of the continual formation of 
new single molecules from the dissociating double molecules 
, 
01 
a 
single molecule being much smaller than half a double molecule. 
(compare § 4). 
It is evident, that the denominator v 
with the temperature, so that the value of the second member of 
(10) will inerease still more. The variations of the other terms 
have comparatively but little influence. 
* (by v,,) will equally diminish 
6. What will now be the different forms of the plait — i.e. in 
the 7c representation — when the course of the curve A = /(7’) 
(see § 4) is continually modified with the different components added 
to the water? (We call attention to the fact, that A’ represents the 
second member of (10), divided by #, and that the following figures 
indicate therefore the graphical solution of the equation 7’ = A 
with respect to 7’). 
a. The case of normal substances has already been considered by 
us. It is represented by fig. 1. The spinodal curve will have the 
same form as in fig. 2. 
b. In fig. 2 the straight part of the curve A= /(7), where A 
has the initial value A, (all molecules are still double), intersects 
the line OM in the point A; whereas the curved part, and the 
