Calculate the standard enthalpy of reaction for reducing the different forms of iron oxide to iron metal and $\mathrm{CO}_{2}$ from the reaction of the oxide with CO. Identify which reaction is the most exothermic per mole of iron and explain why.
a. $\mathrm{Fe}_{3} \mathrm{O}_{4}$
b. FeO
c. $\mathrm{Fe}_{2} \mathrm{O}_{3}$