xx +(x - 2) 14 Gibbs Free Energy and Phase Diagram 5. Suppose that the dimensionless Gibbs free energy of a model binary alloy is given by G =G/G/ = X, +0.98, +2' X X, + T-T -X,X, +|x, T T. where the temperature T is measured in Kelvins, TO=1000K, and d=0.5>0. As you have probably noticed, this Gibbs free energy describes an alloy for which the entropy of mixing has quite a different form compared either to an ideal or regular solution models we have discussed so far. Note also that the interaction parameter is positive and hence promotes unmixing. (i) By considering this free energy at several different temperatures in the range of (1000K, 2000K], determine the corresponding phase diagram of the system using the methods we have discussed in class (double tangent construction etc.). (Hint: You may want to write a computer program for obtaining the numerical solutions.) (ii) Does the point (XB=0.5, T-1500K) have any special significance? xx +(x - 2) 14 Gibbs Free Energy and Phase Diagram 5. Suppose that the dimensionless Gibbs free energy of a model binary alloy is given by G =G/G/ = X, +0.98, +2' X X, + T-T -X,X, +|x, T T. where the temperature T is measured in Kelvins, TO=1000K, and d=0.5>0. As you have probably noticed, this Gibbs free energy describes an alloy for which the entropy of mixing has quite a different form compared either to an ideal or regular solution models we have discussed so far. Note also that the interaction parameter is positive and hence promotes unmixing. (i) By considering this free energy at several different temperatures in the range of (1000K, 2000K], determine the corresponding phase diagram of the system using the methods we have discussed in class (double tangent construction etc.). (Hint: You may want to write a computer program for obtaining the numerical solutions.) (ii) Does the point (XB=0.5, T-1500K) have any special significance