1138 
b might be derived. For that part of the substance that is in the 
state of free molecules the value of 4 is equal to hj. If the fraction 
of the quantity of substance that is in the state of aggregation is 
put equal to w, and the fraction which is in the state of single 
molecules equal to 1 — x, then 6= (1 -— a2) by + dim or 
b, - 6 
EEA a 
by — Bhim 
And if we compare this result with the equation the significance 
Vlim 
determines the value of x in every volume, but we must at once 
add at any temperature. That 4 might also depend on 7’ TI have 
never denied; I have only denied that putting 6—= /(7’) would 
enable us to account for the course of the equation of state, but 
that chiefly the dependence of v is indispensable. So we should now 
have arrived at the relation: 
b,—b oy (ke 1p 
Be ae Se cee carp 
by — iim V lin J 
But I must not be detained too long by these considerations, for 
on further consideration [ have had to reject the thought that quasi- 
association has influence in this way. For various reasons. First of 
all because at so great contraction of the volume the name of quasi- 
association would have to change into real association. Secondly 
because the generated heat would then have to be much more con- 
siderable — and further the course of association would also have 
to be different for almost complete association, to which I may 
possibly have occasion later on to draw the attention. This, however, 
—b 
— dependent on 7, and we 
Jg — U lim 
8 id U . . . . 
of which we tried to find, we see that / Ge is the funetion which 
obviates the necessity of making 
return to the simpler equation: 
bj—b [22 
to a yal? care he 
b, — brim Vlim 
And though I am not yet able to give the theoretical form of 
this function, and though I cannot indicate a priori the constants 
occurring in it, | can apply a correction in the value of vg, , which 
I gave in my least communication; and this has greatly weakened 
if not removed the objections I had to the assumption that the 
decrease of 6 with the volume is only an apparent explanation. 
I have arrived at the value of vgn = bim by following the same 
train of reasoning as when I drew up the equation of state. For 
