615 
so that what has been said there can easily give rise to misunder- 
standing. 
But for this very reason I have afterwards once more fully dis- 
cussed the matter in the Chemisch Weekblad *). This paper, however, 
seems to have escaped the notice of the writer of the Thesis. 
Fortunately he admits (see p. 4) that a correct formula has been 
used by me, which leads to correct results. 1 should have been quite 
satisfied with this, if not some objections called for further elucida- 
tion so as to remove any doubt of the validity of the method fol- 
lowed by me in imitation of GiBBs, VAN DER Waars and others. 
2. It is clear that we may always write [for convenience’sake 
we consider again the formation of a compound (associaiion) of the 
equal molecules of an associating substance, which compound is 
decomposed to an extent 3 — but the considerations would, of course, 
apply to any compound, also of wregual components] : 
Ci 
V6 
‘| (ow òw\ dp 
| 
0:0 
0 
because the free energy y is a function of both v and 3 (7 taken 
constant). The quantities v, and #, refer to an arbitrary condensed 
gas or liquid state; the quantities W and B to a very large gas 
volume, where accordingly 3 approaches 1. 
Equation 1 is always valid, for the integration is carried out along 
the line of equilibrium, so that the functions y then always refer to 
Ow 
states of equilibrium, but then Fe is always equal to zero in con- 
P Jo 
sequence of this equilibrium, and we have simply: 
Vp 
wl dw 
Woe —= WV,e— if VRETEN OE VEE wD 
ni i Ov 8 
¥ 95/70 
Ow 
In this en hence applying vAN DER Waars’s equation 
v /g 
of state, we may write: ’) 
V8 
1+) RT 
Wro = W net {| Rn = = dias. area CLO) 
v—b v 
Moy Û 50 
1 Beschouwingen over eenige fundamenteele eigenschappen van den thermody- 
namischen potentiaal; Chemisch Weekblad 1909, N°. 51, p. 1—8. ; 
2) Wor convenience’sake we suppose viz. dissociation of double molecules to 
simple ones, in which n, == — 1A, n, == 28, 2n,; 2, + 2, =—1-4 8. 
