ae 
ward, but already for a value of w of the order 0.0001 unstable 
states are reached. On the other hand equation (4) passes into: 
: 
(5 = — 56{— 0.507 + 0.11041} + 0.21 — 0,01 2 + 0.581 (4a) 
and so this value becomes (with / about 1) of the order + 20. So 
on the righthand side the p,v-line will be concave downward, and 
we shall have to get very far from the border before meeting with 
a region of unmixing. 
If we put b,-= 10000 instead of b,=— 100%, we get the equations: 
dlp, 2f ‘= 
Sse eel ad 10) Ra emer ta nes en (15) 
mM, 
da wil 
ENEN a( 0.668 + + ) 
dx eae mn, 2 nr . . . e e (25) 
Plp, 2 
É Ee SN (35) 
0 
da? me 
eee ee tee eked i sed 
da? Jam ze en ET ee 
and if we now suppose 4 = 68, so that again 7;,—47;,, all our 
conclusions remain of force, and the peculiarities which we pointed 
out (insolubility on the side of the small molecule ete.) are still more 
b, 
pronounced. And also values of = considerably smaller than 100 still 
1 
yield the same results. — 
Summarising them we must say that for the systems considered 
with a value of about /=1 the p,a,-line begins at the side of the 
small molecules slightly ascending concave downward, that, however, 
already with exceedingly small concentration a region of unmixing 
is reached, which lies very asymmetrically in the lefthand side of 
the figure, and that the p,z,-line after having left this region of 
unmixing, continually descending and finally convex er reaches 
the line for the second component. 
§ 2. The experimental results of Mr. KXt2. 
Now it is very remarkable, that this course entirely agrees with 
that of the vapour-pressure lines determined by Mr. Karz for the 
majority of “swelling” bodies, those with limited imbibition power. 
Here too on the side of water an exceedingly small line (generally 
so small that it cannot even be determined experimentally) is found 
for the solution of the swelling substance in water, and on the other 
a! 
i* 
