Consider the following model for G^E∕RT of a binary mixture:

This equation in fact represents a family of two-parameter expressions for G^E∕RT; specification of k leaves A₁₂ and A₂₁ as the free parameters.
(a) Find general expressions for ln γ₁ and ln γ₂, for any k.
(b) Show that ln γ^∞₁ = A₁₂ and ln γ^∞₂ = A₂₁, for any k.
(c) Specialize the model to the cases where k equals −∞, −1, 0, +1, and +∞. Two of the cases should generate familiar results. What are they?

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GE 1/k 12