Final answer:
To produce 1.00 g of iron, 0.483 g of aluminum are required based on stoichiometric calculations from the balanced chemical equation.
Step-by-step explanation:
To find the mass of aluminum that reacts to produce 1.00 g of iron, we must use stoichiometry based on the conversion between the moles of iron and aluminum in the balanced equation:
Fe2O3(s) + 2Al(s) → 2Fe(s) + Al2O3(s).
Firstly, we find the moles of iron that correspond to 1.00 g:
- (1.00 g Fe) / (55.85 g/mol Fe) = 0.0179 mol Fe
Using the stoichiometric ratio between Fe and Al from the balanced equation, we can find the moles of Al needed:
- (0.0179 mol Fe) × (2 mol Al / 2 mol Fe) = 0.0179 mol Al
Finally, we convert the moles of aluminum to grams using its molar mass (26.98 g/mol Al):
- (0.0179 mol Al) × (26.98 g/mol Al) = 0.483 g Al
Therefore, 0.483 g of aluminum are required to react and produce 1.00 g of iron.