Tin is obtained from cassiterite by reduction with coke Use the data given below to determine the minimum temperature (in $K$ ) at which the reduction of cassiterite by coke would take place.
At $298 \,K ; \Delta_f H^{0}\left( SnO _{2}(s)\right)=-581.0 \,kJ\, mol ^{-1}, \Delta_{f} H^{0}\left( CO _{2}(g)\right)=-394.0\, kJ \,mol ^{-1}$,
$S^{0}\left( SnO _{2}(s)\right)=56.0 \,J \,K ^{-1} mol ^{-1}, S^{0}( Sn (s))=52.0 \,J \,K ^{-1} mol ^{-1}$,
$S^{0}( C (s))=6.0\, J\, K ^{-1} mol ^{-1}, S^{0}\left( CO _{2}(g)\right)=210.0 \,J \,K ^{-1} mol ^{-1}$,
Assume that the enthalpies and the entropies are temperature independent