Possible correlating equations for ln 1 in a binary liquid system are given here. For one

Question:

Possible correlating equations for ln γ₁ 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 γ₂. What is the corresponding equation for G^E∕RT? Note that by its definition, γ_i = 1 for x_i= 1.
(a) ln γ₁ = A x²₂ ;
(b) ln γ₁ = x²₂ (A + B x₂);
(c) ln γ₁ = x²₂ (A + B x₂ + C x²₂) ;