107 
determined by Mr. Karz, so values of # which are nearly equal to 1. 
With such values of w the terms multiplied by (6, + 6, — 26,,) now 
predominate on the lefthand side; so we find for the required ratio : 
If this expression is to be independent of the order of magaitude 
of 6,, we must conelude that in general a increases proportionally 
. 9 a . . . 7 . . 
with 4? for increasing values of 6, so that — remains of the same 
2 
order of magnitude. 
si A : 
Also with a proportional to 4 the coefficients Te would remain 
vo 
equal, they all being zero then. This supposition does not call for 
any further discussion, also because the critical temperature rapidly 
rises for all known bodies with great increase of 6, whereas the 
critical pressure remains of the same order of magnitude, 
a CG» See 
$ 5. Supposition that ae of the same order of magnitude for 
the components. So we shonld have to conclude from this that we 
have assumed the increase of a for certain increase of 6 too small 
in $ 1 and 3. And now the question should be solved whether what 
was found above for the vapour-pressure line continues to hold also 
with the now supposed great increase of a. For this purpose I once 
more examined the course of the vapour-pressure line with the aid 
of the above formula, now on the suppositions 6, = 100 0,, 
b,, = 22.46, a, =10000a,. For a,,=150 we find then that the 
region of unmixing has quite disappeared ; with @,, = 140 on the 
other hand we find y=1.03 for «= 0.01. So if we take w slightly 
higher, we shall find exactly the required width of the region of 
2 
b 
unmixing already with B 100. So all Mr. Katz’s results mentioned 
under 1, 3, and 4 can be derived from our theory. 
So if finally remains the question in how far the result under 
2 is incompatible with the simplest theory developed here. If we 
take the last mentioned example, viz. 46, = 100 0,, 6,, =22.4),, 
a, = 10000 a, and a,, = 140a,, we find for the heat of mixing the 
expression : 
v(1—«) 
A= — 
(136 2 Se 556e Ber eres he. (7a) 
x 
