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To determine the limiting reactant, we need to convert the given masses of iron (Fe) and water (H₂O) to moles and compare their mole ratios to the stoichiometric ratio in the balanced equation:
1. Calculate moles of Fe:
- Molar mass of Fe = 55.845 g/mol
- Moles of Fe = 40.0 g / 55.845 g/mol = 0.716 mol
2. Calculate moles of H₂O:
- Molar mass of H₂O = 18.015 g/mol
- Moles of H₂O = 16.0 g / 18.015 g/mol = 0.888 mol
3. Determine the limiting reactant:
- The balanced equation shows that 3 moles of Fe react with 4 moles of H₂O.
- Mole ratio of Fe to H₂O required: 3/4 = 0.75
- Actual mole ratio of Fe to H₂O: 0.716 mol Fe / 0.888 mol H₂O = 0.807
- Since the actual mole ratio (0.807) is greater than the required ratio (0.75), Fe is in excess and H₂O is the limiting reactant.
4. Determine the excess reactant:
- Fe is the excess reactant.
Therefore, the limiting reactant is H₂O and the excess reactant is Fe.