Solution:
The balanced chemical equation:
2Al(s) + Fe2O3(s) → 2Fe(l) + Al2O3(s)
According to the chemical equation: n(Al)/2 = n(Fe2O3)
Moles of Fe2O3 = n(Fe2O3) = Mass of Fe2O3 / Molar mass of Fe2O3
The molar mass of Fe2O3 is 160 g/mol.
n(Fe2O3) = (16 g) / (160 g/mol) = 0.1 mol
n(Al) = 2 × n(Fe2O3) = 2 × 0.1 mol = 0.2 mol
Moles of Al = n(Al) = Mass of Al / Molar mass of Al
The molar mass of Al is 27 g/mol.
Mass of Al = n(Al) × M(Al) = 0.2 mol × 27 g/mol = 5.4 g
Mass of Al is 5.4 g.
Answer: 5.4 g of aluminum powder (Al) would be needed.
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