( 180 ) 



For a molecular quantity of a mixture, ooiLsi^ting of m, (1— j) 

 and m„:f unities of mass, the equation holds : 



V Ux 



pv—MRT — — 



V — bx V 



or bv approximation 



1 

 po^3IRT {ac — b:,MRT) (1) 



V 



For each of the components 



2)v. = MRT («, — h^ ilR'l ) (2) 



would hold for a molecular quantity, and 



pv^ — MRT {a., — b,MRT) (3) 



If wc put V == r, (1 — a) + ^'i* + Ay, and take into consideration 

 that «r — a, {I— .v)- + 2 ff, „ ^' (1 — ;c) -f- a. x' 

 aud k, ^b^{l - ;(■)' + 2 ^, .'■ (1 - ^^ + &, »■= 

 we get 



pLc = {":c — b, MRT) + '^ >- '- + 



w{a, —K MRT) 



by subtracting the sum of (1 — .») times equation (2) and .*■ times 

 equation (3) from equation (1). 



As po as well as pi\ and pi-\, are eijual to MR'T by approxima- 

 tion, we may put 



MRT Lv = \ ", (l—r) + «. ■' - ["> (!—'■)' + 2 «,, .6- (l-.r) + <^, .<-] j 

 — MRT\ b, (1— .r) -i- i.„ .c — [A, (1— ^0' + 2 i-,., ,r (1-,;) + b„ x'] \ 



or 



MRTL,, ^ - X. (1-,-) { [2 cr,^ - a, -oj - [2 /,,.: — ^ — ?'J ^^«2'! 

 or 



