90 



The etiiiations (2) vvliicli express that for each of the components 

 a group of particles from one phase is replaced bj a group of 

 particles from another pliase, become for the first component: 



±11 n, du, e ~ WV«7=±r±«^ du\ ."T^^V . (2,) 

 and for the second component: 



V — b^ " „ v — by " " 



Taking into consideration that Ui„(h(A,;=: u'i„dii'i„ and ih„du7n = 

 = u\„du'^n , and that { in, i.V«i' = h rn. Nit,' = MRT, we may write 

 for (20 and (2 J ; 



log 



^v-b, l-^v'J MRT 



and 



log 



^'-hr' .V\ i^^2^V"s; - i'«.^"'.; 



V — b^ x' J MRT 



from which tiien follows for the first component in connection with 



(IJ and ('IJ 



— MRTlog\—^ + ^-^-a,,Q{\-x)-a,,qx-kc,,~-'~-- 



1 



2 ^12 



d^QO! ,-„,„, ^'-^-i 





(3.) 



MRT log —-^ + "^ — «1 2? ( ' -'^■) — «Ï2 1?'*-' — 2^1, ^^, 



and for the second component : 



I t : . r> rt { \ — r\ n n.i- + r, I 



X QX 



The expressions : 



8, — 7'7j, + ijr, :, — = }i,M, and e, — Ti]^ + ,.-t, — = ^JJ^ 



/irt?;f? a constant value throughout the vessel. For everj component 

 they give us the thermodipiamic potential in its kinetic al siynijication. 



