Final answer:
When you burn 64.0 g of C₂H₂ in oxygen, you produce 2.46 moles of H₂O based on the stoichiometry of the balanced chemical equation for the combustion of acetylene.
Step-by-step explanation:
To determine how many moles of H₂O are produced when 64.0 g of C₂H₂ burns in oxygen, we need the balanced chemical equation for the combustion of acetylene (C₂H₂):
2 C₂H₂ (g) + 5 O₂ (g) → 4 CO₂ (g) + 2 H₂O (l)
Now, we can use the molar mass of C₂H₂ (26.04 g/mol) to convert the mass of C₂H₂ to moles:
64.0 g C₂H₂ × (1 mol C₂H₂ / 26.04 g) = 2.46 moles C₂H₂
According to the stoichiometry of the balanced equation, every 2 moles of C₂H₂ produce 2 moles of H₂O. Therefore, if you start with 2.46 moles of C₂H₂, you will produce an equal amount of moles of H₂O:
2.46 moles C₂H₂ (2 moles H₂O / 2 moles C₂H₂) = 2.46 moles H₂O.
This is the number of moles of H₂O produced when 64.0 g of C₂H₂ burn in oxygen.