Molar vapor pressure for a binary solution at room temperature is given in the following figure. The solution deviates from ideal behavior.

a$)$ Calculate the extent of this deviation $($activity coefficient for both components$)$ at your composition given in the table above.

b$)$ Calculate the molar free energies of the components at your composition if the standard enthalpies of the A and $B$ are $60kJ$ and $50kJ$ and the standard entropies are $197\frac{J}{K}$ and $115\frac{J}{K}$ respectively

c$)$ Calculate the total molar excess, ideal and total molar free energy of the solution at your composition

d$)$ What is the change in free energy upon mixing pure A and $B$ to form $100$ moles of $A-B$ solution of your composition? Comment on spontaneity of mixing.