Wilson has proposed that the excess Gibbs energy of a multicomponent system is given by Note that this equation contains only the interaction parameters ij for binary mixtures Also, the parameters ( ij ii ) appear to be insensitive to temperature Holmes and van Winkle have tested this equation and ...

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Wilson has proposed that the excess Gibbs energy of a multicomponent system is given by Note

Question:

Wilson has proposed that the excess Gibbs energy of a multicomponent system is given by

where Gex == - RT ;; ; 1n ;4;; i=l = (Xij- Aii) ] exp RT

Note that this equation contains only the interaction parameters Λ_ij for binary mixtures. Also, the parameters (λ_ij −λ_ii) appear to be insensitive to temperature. Holmes and van Winkle have tested this equation and found it to be accurate for the prediction of binary and ternary vapor–liquid equilibria. They also report values of the parameters V^L_i and (λ_ij − λ_ii) for many binary mixtures. Use the Wilson equation to

a. Derive Eqs. 9.5-12 and 9.5-13 for the activity coefficients of a species in a binary mixture.

In = ln(x + x2A12) + x2 In 2 = ln(x+xA21) - X A12 X1 + xA12 A12 x1 + x2^12 A21 XA21 + x2 A21 XA21 + x2 The