A galvanic cell is set up with electrodes of pure $Al$ and $Al-Zn$ alloy $($containing $61$ wt$.\%Al)$ in a fused salt electrolyte at $414C.$ The EMF of the cell is

a$)$ Calculate the activity of $Al$ in the alloy.

b$)$ Calculate the partial molar Gibbs free energy of $Al$ in the alloy.

c$)$ Calculate the partial molar enthalpy of $Al$ in the alloy.

d$)$ Calculate the partial molar entropy of $Al$ in the alloy.

$(A{l}^{+3}+3e^{-}=Al,E=-1\mathrm{.}66(V))(R=8\mathrm{.}314\frac{J}{m}ol.K)(Al=27\mathrm{.}0,Zn=65\mathrm{.}4\frac{g}{m}ol)(F=96485\frac{J}{V})$