( 821) ) 



,11, 

 and putting 6 = o, -\- x — 



dx 



6, _ .-' I 2. c '(l-. g )' [V» 



d6 1 — 2.t- 2 1 — 2.t; ) (<>) 



The I st member of this last equation representing the ratio between 

 the size of the molecules of the first component and the difference of 



the sizes of the two kinds of molecules, we see that x g depends 

 only on the ratio between the sizes of the molecules of the two 

 components. 



If we take the two extreme cases 1 st that I> x may be put equal 

 to 0, 2 nd that f>, is equal to b x , we find the two extreme values of x q . 



2.v* V 2a? a (l— *)■ 



- or 4.c 4 =(l-.») a (1—2*)' or 2x* = (1 -,v)(l-2.v) 



1—2.6- 



1—2* 



db 



or * = 7« for b 1 = 0. For the other extreme ease —0, wc find 



dx 



* = v.- 



For some arbitrarily chosen values of x g I have calculated the 



b. 



corresponding values of 



b.—b. 



as, 



K 



V. 



0,4 



0,45 



0,46 



0,47 



0,48 



0,49 



0,5 







0,3704 



1,5 



2,08 



3,06 



5,04 



10,91 



oo 



u — 6 



~T~ 



2 

 1,115 



0,505 

 0,457 

 0,363 

 0,265 

 0,191 

 



y g (see p. 832) 



0,5 



0,358 



0,216 



0,186 



0,154 



0,1 J 7 



0,0874 



0. 



If on the other hand the value of x g has been calculated by the 



db 



</.r 



aid of the given value of -~ , v g is determined by the aid of the 

 equation : 



db t * /2x\\—xy 



v — b = — / - . 



db 



It = 0, in which case x q z=z l L, this equation gives an indefinite 

 dx 



