G(XA, XB) = 400*XA + 600*XB + RT*(XA*In(XA) + XB*In(XB)) where XA and XB are respectively the molar fraction of A and B atoms in the mixture. R = 8.31 J/K is the gas constant, and T is the temperature of system. (1) Find the chemical potentials for A atoms and B atoms in the solution (2) Find the composition of A atoms XA* that T = 100K, 300K, 500K and 5000K. How increasing the temperature affect XA*? What would you expect XA* to be at infinite T and why