Calculate the `DeltaH^(Theta)` for the reduction of `Fe_(2)O_(3)(s)` by `AI(s)` at `25^(@)C`. The enthalpies of formation of `Fe_(2)O_(3)` and `AI_(2)O_(3)` are `-825.5` and `-1675.7 kJ mol^(-1)` respectively.

Explanation

To calculate the standard enthalpy change (ΔH°) for the reduction of Fe₂O₃(s) by Al(s) at 25°C, we can follow these steps:

### Step 1: Write the balanced chemical equation
The reduction of iron(III) oxide (Fe₂O₃) by aluminum (Al) can be represented by the following balanced equation:

\[ Fe_2O_3(s) + 2Al(s) \rightarrow 2Fe(s) + Al_2O_3(s) \]
...