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A reaction that produces heat for welding and incendiary bombs is the thermite reaction: iron (III) oxide...

A reaction that produces heat for welding and incendiary bombs is the thermite reaction: iron (III) oxide reacts with aluminum to produce aluminum oxide and iron. How many grams of iron (III) oxide can be converted to aluminum oxide by the reaction of 47.1 g of aluminum?

Answer

To solve this stoichiometry problem, we need to use the balanced chemical equation for the thermite reaction:

Fe2O3 + 2Al → 2Fe + Al2O3

  1. Calculate the molar mass of aluminum (Al):
    Al = 26.98 g/mol
  2. Calculate the moles of aluminum:
    Moles of Al = 47.1 g / 26.98 g/mol = 1.746 moles
  3. Use the stoichiometry of the reaction to find moles of iron (III) oxide (Fe2O3):
    According to the balanced equation, 2 moles of Al react with 1 mole of Fe2O3.
    Moles of Fe2O3 = 1.746 moles Al × (1 mole Fe2O3 / 2 moles Al) = 0.873 moles Fe2O3
  4. Calculate the molar mass of iron (III) oxide (Fe2O3):
    Fe2O3 = (2 × 55.85) + (3 × 16.00) = 159.7 g/mol
  5. Calculate the grams of iron (III) oxide:
    Grams of Fe2O3 = 0.873 moles × 159.7 g/mol = 139.4 g

Therefore, 139.4 grams of iron (III) oxide can be converted to aluminum oxide by the reaction of 47.1 g of aluminum.

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