Data given for the following reaction is as follows: FeO_( s ) + C_( graphite ) → Fe_( s ) + CO_( g ) The minimum temperature in K at which the…

Data given for the following reaction is as follows : $$\mathrm{FeO}_{(\mathrm{s})}+\mathrm{C}_{(\text {graphite })} \longrightarrow \mathrm{Fe}_{(\mathrm{s})}+\mathrm{CO}_{(\mathrm{g})} $$

Substance	$\displaystyle \Delta_f \mathrm{H}^{\circ}$ ( $\displaystyle \mathrm{kJ} \mathrm{mol}^{-1}$ )	$\displaystyle \Delta \mathrm{S}^{\circ}$ $\displaystyle \left(\mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\right)$
$\displaystyle \mathrm{FeO}_{(\mathrm{s})}$	-$\displaystyle 266.3$	$\displaystyle 57.49$
$\displaystyle \mathrm{C}_{\text {(graphite) }}$	$\displaystyle 0$	$\displaystyle 5.74$
$\displaystyle \mathrm{Fe}_{(\mathrm{s})}$	$\displaystyle 0$	$\displaystyle 27.28$
$\displaystyle \mathrm{CO}_{(\mathrm{g})}$	-$\displaystyle 110.5$	$\displaystyle 197.6$

The minimum temperature in K at which the reaction becomes spontaneous is \_\_\_\_. (Integer answer)