4. Given the molar Gibbs Free Energy G expression for a binary mixture: G= G, x, + G, x, + X, X2 (a x, + b x,) + RT (x, In x, X, In x,) where a and b are functions of T, . G, and G, are molar G for...

Extracted text: 4. Given the molar Gibbs Free Energy G expression for a binary mixture: G= G, x, + G, x, + X, X2 (a x, + b x,) + RT (x, In x, X, In x,) where a and b are functions of T, . G, and G, are molar G for pure 1 and 2. Derive the equations for а. and the chemical potentials of 1 and 2. Give the limiting values of H and u, as x, à 0, and as х а 1. b. Derive the equations for the activity coefficients In Y, and In y2.