Water gas is fuel made by passing steam over red hot coke as $ H_2O(g) + C(s) \rightarrow CO(g)+H_2(g)$ \[\] Given that $ \Delta H_f^{\circ} \: of\: H_2O(g), CO(g)\: are\: -241.8\: and \: -110.5\: kJ/mol$. Also, the values of $S^{\circ}$ for $H_2O(g), C(s), CO(g)\: and\: H_2(g)\: are\: 188.7, 197.9, 131\: and\: 5.69\: J/Kmol$ respectively. Assuming $ \Delta H^{\circ}\: and\: \Delta S^{\circ}$ to be temperature independent, the temperature at which the reaction becomes favorable is

Question

$\begin {array} {1 1} (A)\;994 \: K & \quad (B)\;-994 \: K \\ (C)\;976 \: K & \quad (D)\;967 \: K \end {array}$