171 
“() 
at (a 
2 
If we now include the remaining factor in the expressions {u;} 
(comp. eq. (2), (8), (4) in $ 2), having regard to the meaning of the 
quantities A,, A,,..., Ar, the expression (20) for {y} becomes as 
follows: 
(ERR RA Ae taat. oe (AH) 
ATEN ZEN ae 1 
by) — — <= AEE $Z) VN. 
N,! NL. alle N;! 0, “te 4 ee G7 el r (=) | 
. . (24) 
a ON. 
WEKE. (ak ji, 
1 
where 
ai'=47.2nVM;? P;QR; for poly-atomic molecules | 
ai = Ar WM; P,? ede if za (25) 
a;" V Mi’ PE) mon- ” ” 
the quantities f;, # and N being defined by equations (7) $ 3, (15) 
§ 4 and (9) § 3. 
§ 5. log {y} and the entropy for an arbitrary degree of dissociation 
Nn Net N;). 
Using Srirring’s formula log {y} assumes the following approximate 
form 
F en 
log fy} = [+ N log V + log K+ FlogV 2n+  N;(logai’—filog h—log 55) 
ie F 
EN ND (wg) Ne Tat 
or 
surface O (i.e. the differential coefficient of IJ with respect to R) are respectively 
[comp. say P. H. Scroure, Mehr-dimensionale Geometrie, Bd. IJ, (Sammlung Schubert, 
Leipzig 1905); J. H. Jeans, The Dynamica! Theory of Gases, § 46]: 
1 Be 1 wat 
ieee YY RP RF, SO Marr REL 
Ge) 0) 
It is in accordance with the usual approximations of the kinetic theory (/ very 
large as compared with 1), if we put log J and log O equal to each other, since for 
instance, if we-use STIRLING’s approximation, expressions are obtained for these 
quantities, which coincide completely, if we do not make any difference between 
F and F—1. We have used a similar approximation with regard to the ellipsoid. 
