Final answer:
The heat change for the reaction 4Fe(s) + 3O2(g) → 2Fe2O3(s) is calculated using the standard heat of formation of Fe2O3, which results in a heat change of 1648.4 kJ.
Step-by-step explanation:
The question asks to calculate the heat change for the reaction: 4Fe(s) + 3O2(g) → 2Fe2O3(s), given the standard heat of formation of Fe2O3 is 824.2 kJ/mol.
To calculate the heat change for this reaction, we use the formula for enthalpy change based on standard heats of formation (ΔH°f).
ΔH°reaction = ∑ [ΔH°f(products)] - ∑ [ΔH°f(reactants)]
For the given reaction, the reactants (Fe and O2) are in their elemental form, so their ΔH°f values are zero.
The products have only one compound, Fe2O3, whose standard heat of formation is given as 824.2 kJ/mol per mole of Fe2O3. For the reaction, two moles of Fe2O3 are formed.
Therefore, ΔH°reaction = (2 moles * 824.2 kJ/mol) - (0) = 1648.4 kJ
The heat change for the reaction is 1648.4 kJ.