Chapter 4.9, Problem 4.11PSP

When iron is obtained from iron ore, an important reaction is conversion of Fe₃O₄(s) to FeO(s). Write a balanced equation for this reaction. Then use these thermochemical expressions to calculate ${\Delta }_{\text{r}}H°$ for the reaction.

$\begin{array}{l}3\text{Fe}\left(\text{s}\right)+2{\text{O}}_2\to {\text{Fe}}_2{\text{O}}_4\left(\text{s}\right){\Delta }_{\text{r}}H{°}_1=-1118.4\text{kJ}\\ \text{Fe}\left(\text{s}\right)+\frac{1}{2}{\text{O}}_2\left(\text{g}\right)\to \text{FeO}\left(\text{s}\right){\Delta }_{\text{r}}H{°}_2=-272.0\text{kJ}\end{array}$