Chemistry question on limiting reactants

Question

How many moles of black iron oxide (Fe3O4) can be produced from 9.2 moles of water and 3.4 moles of iron ? Which is the limiting reactant and how many moles of the excess reactant will be left after reaction? 3Fe + 4H2O

---> Fe3O4 + 4H2

Answer 1

From water, (9.2 mol H₂O) * (1 mol Fe₃O₄ / 4 mol H₂O) = 2.3 mole Fe₃O₄.

From iron, (3.4 mol Fe) * (1 mol Fe₃O₄ / 3 mol Fe) = 1.1₃ mole Fe₃O₄.

Thus iron is limiting and only 1.1 mole is produced. There is an excess of (1.1₇ mol Fe₃O₄) * (4 mol H₂O / 1 mol Fe₃O₄) = 4.7 moles of water.