172 
log{yi{j=1I+ 2 Ni tu V +e log K + tog aj | 
P fF 
— = Ni [log Ni — 1} — = | u RRS |. ra 
where 
1 =log [X! VIZ! BANE), . 3) ae 
log ai! = log ai! — f; logh — log ai + filog V 2m . . . (29) 
therefore 
a! TW 2a 
a; = — | an TAN 
Oi h 
If there are 7,, %,,..., 7; gram-molecules of ideal gases of different 
kinds in the volume V at the temperature 7’, the entropy and energy 
of the mixture are given by the expressions: 
7 
Sne OT A ey | | 
i as (oa 
= 24+ En; (Rlog V+ Cilog T -+ x) — RZ nj log n;' 
EEn (Gil +b). ne 
{2 is a quantity which is independent of V’,7’ and the numbers 
ni, but may depend on the numbers of gram-atoms of the different 
kinds of atoms in the system (say wv, y, 2) 7), 6; is the potential energy 
of a molecule of the kind 7 as compared with the condition of complete 
dissociation, which is taken as the zero of potential energy, and 
C; the specific heat at constant volume. 
§ 6. Comparison of the kinetic and the thermodynamic calculations 
of the dissociation-equilibrium. The resulting values of the 
chemical constants. 
We now introduce the following axiom: With given numbers of 
atoms X, Y, Z, volume V and total energy E the dissociation- 
equilibrium is characterized by these values of the numbers of molecules 
N,, N,,..., Nj, for which log fy} vs a maximum. 
1) It may be noted, that, when all the numbers of atoms and molecules, the volume 
K 
V and the total kinetic energy are doubled, the numerical values of log log in 
the expression for Sy? remain the same and the value of the sums is therefore 
also doubled, whereas I increases to more than twice its value on account of 
X! Y! Z! Comp. § 9. 
2) In the theory as usually given (comp. say M. PLANCK, Thermo-dynamik. 4 Aufl. 
§ 237) © is left out. Incomparing the entropy with the “logarithm of the probability” 
this becomes the source of great obscurity (comp § 9). 
oe 
