From the data at `25^(@)C`:
`Fe_(2)O_(3)(s) +3C_(("graphite")) rarr 2Fe(s) + 3CO(g), DeltaH^(Theta) = 492.0 kJ mol^(-1)`
`FeO(s) +C_(("graphite")) rarr Fe(s) CO(g), DeltaH^(Theta) = 155.0 kJ mol^(-1)`
`C_(("graphite")) +O_(2)(g) rarr CO_(2)(g), DeltaH^(Theta) =- 393.0 kJ mol^(-1)`
`CO(g)+(1)/(2)O_(2)(g) rarr CO_(2)(g), DeltaH^(Theta) =- 282.0 kJ mol^(-1)`
Calculate the standard heat of formation of `FeO(s)` and `Fe_(2)O_(3)(s)`.

Explanation

To calculate the standard heat of formation of FeO(s) and Fe2O3(s) using the provided thermodynamic data, we will follow these steps:

### Step 1: Write down the given reactions and their enthalpy changes.

1. **Reaction 1**:
\[ \text{Fe}_2\text{O}_3(s) + 3\text{C(graphite)} \rightarrow 2\text{Fe}(s) + 3\text{CO}(g), \quad \Delta H^\circ = 492.0 \, \text{kJ/mol} \]
...