Thermodynamics in Materials Science question The excess free

Thermodynamics in Materials Science question:

The excess free energy of mixing in fcc solid solutions of aluminum and zinc is well described by the relation:
G^XS=X_AlX_Zn(9600X_zn + 13200X_Al)(1-(t/4000))

Compute and plot curves for G_mix as a function of composition for a sequence of temperatures every100K.

Please clear solution and clear handwriting. Show clear all steps!!!

Solution

free energy of mixing is defined as

delta g = delta H - T*delta S

The variation in free energy as a function of composition and temperature can be considered for three different situations an ideal solution, a non - ideal solution with a positive enthalpy of mixing and non ideal solution with negative enthalpy of mixing

for ideal solution delta H = 0

for non ideal delat H >0 or <0