Fe2O3 + 3CO --> 2Fe + 3CO2, how many grams of iron are produced when 7.47 grams of iron(III) oxide are reacted?
Solution:
Calculate the moles of iron(III) oxide (Fe2O3):
The molar mass of Fe2O3 is 159.69 g/mol
Therefore,
Moles of Fe2O3 = (7.47 g Fe2O3) × (1 mol Fe2O3 / 159.69 g Fe2O3) = 0.0468 mol Fe2O3
Balanced chemical equation:
Fe2O3 + 3CO → 2Fe + 3CO2
According to stoichiometry:
1 mol of Fe2O3 produces 2 mol of Fe
Thus, 0.0468 mol of Fe2O3 produces:
(0.0468 mol Fe2O3) × (2 mol Fe / 1 mol Fe2O3) = 0.0936 mol Fe
Calculate the mass of iron (Fe):
The molar mass of Fe is 55.845 g/mol
Therefore,
Mass of Fe = (0.0936 mol Fe) × (55.845 g Fe / 1 mol Fe) = 5.227 g Fe = 5.23 g Fe
Mass of Fe = 5.23 g
Answer: 5.23 grams of iron (Fe) are produced
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