917 
b 
q e 
As r —— is somewhat smaller than 3, we get: 
lim 
RA 1 > (pl 
2 Dlim = G+ ) 
Hence the variability of 5 is the cause that the law of corresponding 
states does not hold perfectly for all volumes. [f this variability was 
. . q . 
governed by one law, and if accordingly —~ was the same for all 
lim 
substances, it would hold perfectly. For then the value of ———-— 
B lim 
and so also of » would be the same for given a and m. If the law 
. eren by : ° 
of the variability of J, hence Van is different, then » is indeed 
lim 
not equal for given a and m, but the law of correspondence, as we 
have stated it here, holds with a high degree of approximation, at 
least for volumes > vz. Then for given a and m the value of 
v ‘ v v v 
— is almost the same or ——- LE eS eee 
b b b 36 
i. ar el Ae 
Biim bim blim 
As the volume decreases, the law begins to fail. For v > vj it 
holds almost good, below this the deviation becomes greater and 
greater. The value of b bij, however, does not seem to differ much 
for the different substances. It is not equal to 1 for any substance, 
not even for monatomic ones. So substances for which 5 is constant, 
are only fictions. When, therefore, in my continuity [ calculated the 
critical circumstances keeping 6 constant, this did not take place 
because [ thought that 4 would be invariable, but in the expec- 
tation that in the critical volume the quantity 4 would have chan- 
ged so little that the influence of the change would be inapprecia- 
ble. And as we have found now, the quantity 
: : ° 
is, indeed, not much smaller than 1 for # and m=1. And even 
ba . 
if we should assign to — a value so excessively high as would be 
lim 
the case if we put it at 3 — and substances for which this value 
would oceur will, no doubt, have to be looked upon as fictions — 
