1179 
és i + N log N—N 
log Win) = log / -}- loa Ds HI 
—nlogn +- n H- jn! log (kT) — jn' log r, | 
in which j is the number of degrees of freedom per molecule, 
p= | EN f. kT dp; +..dqjn 
and the other quantities have a meaning corresponding to that which 
they had before. ¢ is now of course the whole energy of the n gas 
1 ; : 
molecules, = the jN-fold integral 
sl vrl, 
| NE f- kT dp, 20+ dqjn 
As 3n of the jn coordinates of the gas molecules denote the 
positions of the molecular centres of gravity, they do not oceur in £; 
in consequence of this and on account of what was said above # is 
of the form: 
B (En woe. os. tate lia ot HERO) 
in which the function f is a (2j—8)-fold integral referring only to 
one molecule, which therefore besides on 7’, depends only on the 
mechanical constants of the molecules. It follows from this that: 
OD n 0 log D 
EN — DP, or 
Ov v 0 log v ee Rs ae 
The equation for the most probable value of 7, hence for the 
thermodynamic equilibrium becomes: 
A dlagb c 
sa + TE logn — jlog (kT) + jlogv. . . . (25) 
Now: 
d log ® 0 log P Oloq D\ do 1 ape nv de ov 
—____ = | |l | —=-— log ® Te == 
dn On ot Ov Jo dn n s vn \dn vn 
just as in $ 3). 
Hence we get: 
ii n C ‘ Yr 
0 == log DH —.—+ — — log n + jlog —. « « + (26) 
AEN mens. RI u SP AE 
The entropy of the solid substance is: 
Further : 
