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  4. What will be the heat of reaction for the following reaction? Will the reaction be exothermic or endothermic? Fe2O3(s) + 3H2(g) → 2Fe(s)+3H2O(l) ΔfH° (H2O, l) = - 285.83 kj mol-1, ΔfH° (Fe2O3,s) = -824.2 kj mol-1

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Q. What will be the heat of reaction for the following reaction? Will the reaction be exothermic or endothermic?
$Fe_{2}O_{3\left(s\right)} + 3H_{2\left(g\right)} \to 2Fe_{\left(s\right)}+3H_{2}O_{\left(l\right)}$
$\Delta_{f}H^{\circ} \left(H_{2}O, l\right) = - 285.83 \,kj \,mol^{-1}$,
$\Delta_{f}H^{\circ} \left(Fe_{2}O_{3},s\right) = -824.2 \,kj \,mol^{-1}$

Thermodynamics

Solution:

$\Delta_{f}H^{\circ} \left(Fe_{\left(s\right)}\right) = 0$, $\Delta _{f}H^{\circ } \left(H_{2\left(g\right)}\right) = 0$
$\Delta _{f}H^{\circ }= 3\left(-285.83\right)-1\left(-824.2\right)$
$= -857.5 + 824.2 = -33.3\, kj \,mol^{-1}$
Reaction is exothermic.