(10 points) Consider a twoseomponcnt {i and 2), twodphasc (or. and L] system. The following quantities are known: Tml = l'f} K; ng= 800 K; 53:11.1 = 8 ];'mol K, 5\"er = 6 \"Incl K. The subscript m represents melting. Assume the difference in heat capacity between these two phases is negligible. {a} What are the values off'a'f' and negHat 900 K. (b) Assuming an ideal mixing behavior in the L phase, what is the free energy of their solution in L phase with X. = 40% at 900 K, relative to the reference { (I, L}. (e) Assuming regular mixing behavior with enthalpy of mixing given by AHmix = BUDDX 1X 2 [unit is meol), what is the free energy of their solution in a: phase, with X1 = 40% at 900 K, relative to the reference { 0:, L}