Calculate the standard cell potentials of galvanic cell in which the following reactions take place :
(Given $$ E_{OP}^{\circ} Cr , Cd , Fe^{2+} , Ag $$ are $$ 0.74\,V , 0.40\,V , -0.77\,V $$ and $$ -0.80\,V $$ respectively )
(a) $$\displaystyle 2Cr(s) + 3Cd^{2+}(aq.) \rightarrow 2Cr^{3+}(aq.) + 3Cd $$
(b) $$\displaystyle Fe^{2+} + Ag^{+}(aq) \rightarrow Fe^{3+}(aq.) + Ag(s) $$
Calculate the $$ \Delta_{r} G^{\circ} $$ and equilibrium constant of the reactions .