Chemistry - Thermodynamics - II Question with Solution | TestHub

Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in $\mathrm{K}$) at which the reduction of cassiterite by coke would take place.

$298 \mathrm{K}: {\mathrm{\Delta }}_{\mathrm{f}}{\mathrm{H}}^0\left({\mathrm{SnO}}_2\left(\mathrm{s}\right)\right)=-581.0 \mathrm{kJ} {\mathrm{mol}}^{-1}, {\mathrm{\Delta }}_{\mathrm{f}}{\mathrm{H}}^0\left({\mathrm{CO}}_2\left(\mathrm{g}\right)\right)=-394.0 \mathrm{kJ} {\mathrm{mol}}^{-1}$

${\mathrm{S}}^0\left({SnO}_2\left(\mathrm{s}\right)\right)=56.0 {\mathrm{JK}}^{-1} {\mathrm{mol}}^{-1}, {\mathrm{S}}^0\left(\mathrm{Sn}\right(\mathrm{s}\left)\right)=52.0 {\mathrm{JK}}^{-1} {\mathrm{mol}}^{-1}$

${\mathrm{S}}^0\left(\mathrm{C}\right(\mathrm{s}\left)\right)=6.0 {\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}, {\mathrm{S}}^0\left({\mathrm{CO}}_2\left(\mathrm{g}\right)\right)=210.0 {\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}$

Assume that the enthalpies and the entropies are temperature independent.