For the following electrochemical cell,

$Pb|PbS{O}_4(sat\text{'}d),S{O}_4^{2-}(0\mathrm{.}200M)||S{n}^{2**}(0\mathrm{.}150M),S{n}^{+4}(0\mathrm{.}250M)|Pl0$

$S{n}^{+4}+2ES{n}^{2+},E=+0\mathrm{.}154V$

$PbS{O}_4(s)+2PbPb(s)+S{O}_4^{2-},E=-0\mathrm{.}356V$

a$)$ Calculate the cell potential and free energy.

b$)$ Write the overall reaction

c$)$ Describe whether the reaction is spontaneous or nonspontanous, and whether the cell written is galvanic or electrolytic.