Mole-to-mole and mole-to-mass conversion based on a balanced chemical equation.
LOGIC: 1. Reaction: $3Fe + 4H_2O \rightarrow Fe_3O_4 + 4H_2$ 2. Given mass of steam = 18 g. Since molar mass of water is 18 g/mol, we have exactly 1.0 mole of steam. 3. Stoichiometric relationship: 4 parts water reacts with 3 parts iron. 4. Ratio: $\frac{\text{Moles of } Fe}{\text{Moles of } H_2O} = \frac{3}{4}$ 5. Moles of $Fe = \frac{3}{4} \times 1 = 0.75 \text{ moles}$. 6. Mass of $Fe = \text{moles} \times \text{atomic weight} = 0.75 \times 56 = 42 \text{ g}$.