Chapter 9, Problem 66E

Given the following data:

${\text{Fe}}_{\text{2}}{\text{O}}_{\text{3}}\text{(s)}\text{}\text{+}\text{3CO}\left(\text{g}\right)\to \text{ 2Fe(s) +}\text{}{\text{ 3CO}}_{\text{2}}\text{(g)}\text{}\text{ΔH = -}\text{23 kJ}$

${\text{3Fe}}_{\text{2}}{\text{O}}_{\text{3}}\text{(s)}\text{}\text{+}\text{CO}\left(\text{g}\right)\to {\text{ 2Fe}}_{\text{3}}{\text{O}}_{\text{4}}\text{(s) +}\text{}{\text{ CO}}_{\text{2}}\text{(g)}\text{}\text{ΔH = -}\text{39 kJ}$

${\text{Fe}}_3{\text{O}}_4\text{(s)}\text{}\text{+}\text{CO}\left(\text{g}\right)\to \text{ 3FeO(s) +}\text{}{\text{ CO}}_{\text{2}}\text{(g)}\text{}\text{ΔH = }18\text{ kJ}$

calculate $\text{ΔH}$ for the reaction

$\text{FeO(s)}\text{}\text{+}\text{CO}\left(\text{g}\right)\to \text{ Fe(s) +}\text{}{\text{ CO}}_{\text{2}}\text{(g)}$