283 
+ log (n, + n,) + loge,, while w has been written for [ pao—po 
Hence (a) becomes: 
dw 1ldw R ET 
(C,—'/, C) zes | +4 RT (1+ log(n, +2,)) + HRT log —=0. 
On, 2 On, e. 
Further evidently n, ='/, X 2w =«, n, = '/, (1--2), because from 
1 single molecule ='/, double molecule arise '/,(1—.x) double 
molecules and '/, < 2a single molecules. 
N Ow ae dn, ee dn, Ow 10 ee | 
yom: ~ On, dn, —~ On, 2 On,’ Ban a 
dw ¢,” 
(OC) — = + 4 RT (1 + log 4 Cl + a)) + RT bog + —0, 
« on 
1.€. 
dw 
100, Deed de 
a ar tr tte). @ 
a He) RT 
From pm tE EN follows for w = [dope [in which 
es wy 
a 
in pd xv must be kept constant, because in the original equation 
for Z (which holds for any mixture, whether in equilibrium or not) 
the later possible state of equilibrium of the components, given by 
(a), must not be taken into account, so that n, and n,, hence « 
remain constant]: 
w= 4(14+ 2) RT | ba _5) fs 55 hen 
(a=konst.) 
In general 6 is still a function of v, hence inf pao the part 
IS Ey will be represented by {| ear: 2,5 = log (v—b) Seas 
[We may point out that in the assumed equation of state i 
quantities », a, and 5 of the mixture refer to simple molecular 
quantities (eg. 200,6 Gr. mercury). For with v’ =nv, b’ = nb, 
a’ =n’a, in which vn is the degree of association 2:(1 + 2), the 
a. JE 
original equation TENT (ef. the first part of this paper) 
passes into the given equation. If e.g. '/, (2) simple and */, (1—z) 
double molecules arise from 1 single —'/, double molecule, then 
19 
Proceedings Royal Acad. Amsterdam. Vol. XXIII, 
