?Possible correlating equations for ln \(\gamma_{1}\) in a binary liquid system are

Chapter 13, Problem 13.56

(choose chapter or problem)

Possible correlating equations for ln \(\gamma_{1}\) in a binary liquid system are given here. For one of these cases, determine by integration of the Gibbs/Duhem equation [Eq. (13.11)] the corresponding equation for ln \(\gamma_{2}\). What is the corresponding equation for \(G^{E} / R T\)? Note that by its definition, \(\gamma_{i}=1 \text { for } x_{i}=1\).

(a) \(\ln \gamma_{1}=A x_{2}^{2}\) ;

(b) \(\ln \gamma_{1}=x_{2}^{2}\left(A+B x_{2}\right)\) ;

(c) ln \(\gamma_{1}=x_{2}^{2}\left(A+B x_{2}+C x_{2}^{2}\right)\) ;

Text Transcription:

gamma_1

gamma_2

G^E/RT

gamma_i=1 for x_i=1

ln gamma_1=Ax_2^2

ln gamma_1=x_2^2(A+Bx_2)

gamma_1=x_2^2(A+Bx_2+Cx_2^2)