The following two reactions are known: Fe_2 O_3( s )+3 CO ( g ) → 2 Fe ( s )+3 CO_2( g ); Δ H =-26.8 kJ; FeO ( s )+ CO ( g ) → Fe ( s )+ CO_2( g ); Δ…

The following two reactions are known : $$\begin{aligned} & \mathrm{Fe}_2 \mathrm{O}_3(\mathrm{~s})+3 \mathrm{CO}(\mathrm{~g}) \rightarrow 2 \mathrm{Fe}(\mathrm{~s})+3 \mathrm{CO}_2(\mathrm{~g}) ; \\ & \Delta \mathrm{H}=-26.8 \mathrm{~kJ} \\ & \mathrm{FeO}(\mathrm{~s})+\mathrm{CO}(\mathrm{~g}) \rightarrow \mathrm{Fe}(\mathrm{~s})+\mathrm{CO}_2(\mathrm{~g}) ; \\ & \Delta \mathrm{H}=-16.5 \mathrm{~kJ} \end{aligned} $$ The value of $\displaystyle \Delta \mathrm{H}$ for the following reaction $\displaystyle \mathrm{Fe}_2 \mathrm{O}_3(\mathrm{~s})+\mathrm{CO}(\mathrm{g}) \rightarrow 2 \mathrm{FeO}(\mathrm{s})+\mathrm{CO}_2(\mathrm{~g})$ is