( 787 ) 
ON , oN Hi 12 
Av gi == La we 4 ~ ~ 
Ow pT de ae 
If we write w’ =u-+ F(T), in which now: 
1d P 
A(T) = — fev. = erf 2 dre TH 
0 l 
and in which u is the ordinary thermodynamic potential, then 
el ae og ry ZE] 
—|— Le SE —— - zl AL — i ——— |. 
Ow pT si oT ne =I ) { ( ) 9 | 
follows immediately from equation 11 and 12, when the differen- 
tiations have been carried out. 
ane ou) 
And with the values for | — and | — from equation (2) 
0x pt 07 pr 
ee eee Ken 4 
Ù Ow? or wv == T ( ) —Ee— pt ns ( ) + 5 . ( 5) 
al 
when we may consider the terms with w as small. 
Zig 
a ij N 
Then with ¢ = — + foe AT + E and the above-mentioned value 
( 
0 
of F# (7’) the righthand member becomes: 
dT (a tdk 
ne ey a 
TAN EEN 2 
Now at low temperature pv may be neglected by the side of 
a R7 YD 
-, and for the latter expression we may write — — On the suppo- 
v (blend 
3 
sition already introduced by us that v is small, (| =) passes into 
de T 
jp. 
——_, so that finally the differential equation of the “osmotic tem- 
el) 
perature” becomes : 
du: dT r 1 
| (14) 
ig Flee ae 
It is evident that the second member is positive, and this result 
was, of course, already certain beforehand. 
7. In connection with this result a single remark may be allowed 
me. We might think that the experimental determination of the “osmotic 
temperature’ would give a new means for the determination of the 
quantity 4 in the liquid state; this is, however, not the case. This 
