( 780 ) 
te: withered = by = de 
— = 300, 
(v - 1)? 
yielding vg = 298 and vr = 1,063. 
Hence from: 
18 2700 
Br hee 
OI Vv 
we find: 
pB == 09,0606 — 0,0304 = 0,302 
pc = 280 — 2400 = — 2120. 
So reviewing what has been said, we can account for the 
appearance of the different maxima and minima in the following way. 
DM A PT 
In. the expression p= —— ‘the term 
v—b- iv? v— 
will increase more 
a 
rapidly than — between the points A and B, in consequence of the 
Vv F . 
decrease of v, so that p becomes larger. Between B and C, on the 
. a . . 
other hand, the increase of — will predominate, so that p decreases. 
Vv 
7 
But beyond C, when v comes near 4, Es will again increase more 
v— 
a 5 
than a and the isotherm will now ascend very rapidly. It would 
proceed to p= (according to the original theory), but 7 consequence 
of the abrupt change of the value of 3 between D and E from 0 
into 1, the value of “/,2 will increase rapidly from ¢/,2 to afsp. For 
FE, where this increase of 3 has ceased, » — 6 will begin to decrease 
again from this moment, so that p can ascend indefinitely. 
Hence, when only the state of association 3 of the molecules for 
small volumes is taken into consideration, in connection with the 
variation of volume 4h attending it, not only the liquid state, but 
also the solid state (crystallized or not) is quite controlled by 
VAN DER WAALS’ equation of state. 
Further particulars, referring to the case A5 positive, to the formation 
of multiple complexes, to different modifications of the solid state, to 
pp 
the ratio ne where 7, is the triple-point temperature, and 7, the 
ordinary critical temperature, ete. ete, will be discussed in a subse- 
quent paper. 
