2 Al + 3 CuCl₂ → 2 AICI3 + 3 Cu
Molar masses: 27.0 g/mol Al,
134.5 g/mol CuCl2, 63.5 g/mol Cu
A: How many grams of CuCl₂ are
necessary to consume 10 g Al?
B: How many grams of Cu will be
produced?
Solution:
The molar mass of Al is 27.0 g/mol
Therefore,
Moles of Al = (10 g Al) × (1 mol Al / 27.0 g Al) = 0.3704 mol Al
Balanced chemical equation:
2Al + 3CuCl2 → 2AICI3 + 3Cu
According to stoichiometry:
2 mol of Al react with 3 mol of CuCl2
Thus, 0.3704 mol of Al react with:
(0.3704 mol Al) × (3 mol CuCl2 / 2 mol Al) = 0.5556 mol CuCl2
The molar mass of CuCl2 is 134.5 g/mol
Therefore,
Mass of CuCl2 = (0.5556 mol CuCl2) × (134.5 g CuCl2 / 1 mol CuCl2) = 74.7282 g CuCl2 = 74.73 g CuCl2
Thus, 74.73 grams of CuCl2 are necessary to consume 10 g Al
According to stoichiometry:
2 mol of Al produce 3 mol of Cu
Thus, 0.370 mol of Al produce:
(0.3704 mol Al) × (3 mol Cu / 2 mol Al) = 0.5556 mol Cu
The molar mass of Cu is 63.5 g/mol
Therefore,
Mass of Cu = (0.5556 mol Cu) × (63.5 g Cu / 1 mol Cu) = 35.2806 g Cu = 35.28 g Cu
Thus, 35.28 grams of Cu will be produced
Answer:
A: 74.73 grams of CuCl2
B: 35.28 grams of Cu
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