j 836 ) 

 increase* 

 = may disappear also for very different size of the molecules 



than the second member, has increased. From this we conclude that 



dp 



in the region for — = positive, if A has a considerable size. But for 

 dx 



( 1\ A 

 perfectly unequal size oi the molecules I x = — J, would be 



A 

 >3 or - -J> 1, which is not vet satisfied even at A = oo. 



^ 3 + A"^ 



/dp\ ,/'> 



rig. 6, in which the intersection oi = <) aiH ' =() ' ias 



\dxj dx* 



been drawn in both points on The left of the point in which 



-) = () has the niiniiniini volume, holds tor this latter case. The 

 dr) c 



d 9 lp 

 point in which — = disappears, must viz., lie on the line 



da' 2 

 (/ > 



= 0. As has already been mentioned before, this line passes 



fdp\ 



through the point where — ) = <' ' ias its smallest volume, and as 



\dxj 



dv 



is easy to calculate — is then always positive. It now in fig. 6 

 dx 



./• J ir d*p 



the line - = contracts, and it must vanish on ^==0, then the 

 dx' dx' 



point in which it disappears, lies at smaller volume than that of 



dp 



= 0. For the opposite case the two points of intersection must 



therefore be drawn right of the point with minimum volume. Also 



the intermediate case has now become clear. In this respect there 



d 2 q> 



is an inaccuracy in the drawing of fig. 5. The line =0, which 



dx' 



has already almost quite contracted, must be expected there on the 



A/A 

 right of the point in which — 1=^ ' ias the smallest volume. So 



\dxj v 



A/A 

 the line -- =0 would have its minimum volume more to the 



\d.v)r 



left in fig. 5. In fact, with rise of temperature all these lines are 

 subjected to displacements — however, not to such a degree that 

 the relative position is much changed by it. 



