1. Write the balanced chemical equation:
2 C₂H₂ + 5 O₂ → 4 CO₂ + 2 H₂O
2. Determine the limiting reactant:
* Calculate moles of H₂O produced from 2.40 mol C₂H₂:
- (2.40 mol C₂H₂) * (2 mol H₂O / 2 mol C₂H₂) = 2.40 mol H₂O
* Calculate moles of H₂O produced from 7.40 mol O₂:
- (7.40 mol O₂) * (2 mol H₂O / 5 mol O₂) = 2.96 mol H₂O
* The limiting reactant is C₂H₂ because it produces the least amount of H₂O.
3. Calculate the mass of H₂O produced:
* Use the moles of H₂O produced from the limiting reactant (2.40 mol):
- (2.40 mol H₂O) * (18.015 g H₂O / 1 mol H₂O) = 43.24 g H₂O
Therefore, 43.24 grams of H₂O can be produced by the reaction.