Answer:
B. 2.92
Step-by-step explanation:
- It is a stichiometry problem.
- From the balanced given reaction: 2Al + 6HCl → 2AlCl₃ + 3H₂,
- It is clear that 2.o moles of Al reacts with 6.0 moles of HCl to produce 2.0 moles of AlCl₃ and 3.0 moles of H₂.
- Herein, we are concerned with the two products that the reaction results 2.0 moles of AlCl₃ with 2.0 moles of H₂.
- So, we should convert the amount of grams of AlCl₃ (129.0 g) to number of moles (n) using the relation:
n = mass / molar mass,
∴ n of AlCl₃ = (129.0 g) / (133.34 g/mol) = 0.967 mol.
Using cross multiplication:
2.0 moles of AlCl₃ produced with → 3.0 moles of H₂, from the stichiometry.
0.967 moles of AlCl₃ produced with → ??? moles of H₂.
∴ the number of moles of H₂ = (0.967)(3.0) / (2.0) = 1.45 mol.
- Now, we can get the grams of H₂:
∴ The grams of H₂ = n x molar mass = (1.45 mol)(2.01588 g/mol) = 2.92 g.