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Multiple Choice
When 64.0 g of C_2H_2 (acetylene) are completely combusted in oxygen, how many moles of H_2O are produced?
A
3.56 moles
B
3.20 moles
C
3.56 moles
D
3.20 moles
Verified step by step guidance
1
Write the balanced chemical equation for the complete combustion of acetylene (C\_2H\_2). The general form for combustion of a hydrocarbon is:
\(\text{C}_x\text{H}_y + O_2 \rightarrow CO_2 + H_2O\)
Balance the equation for C\_2H\_2 combustion.
Calculate the molar mass of acetylene (C\_2H\_2) by summing the atomic masses:
\(\text{Molar mass} = 2 \times \text{atomic mass of C} + 2 \times \text{atomic mass of H}\).
Convert the given mass of acetylene (64.0 g) to moles using the molar mass:
\(\text{moles of C}_2\text{H}_2 = \frac{64.0 \text{ g}}{\text{molar mass of C}_2\text{H}_2}\).
Use the mole ratio from the balanced equation between C\_2H\_2 and H\_2O to find the moles of water produced:
\(\text{moles of H}_2\text{O} = \text{moles of C}_2\text{H}_2 \times \frac{\text{moles of H}_2\text{O}}{\text{moles of C}_2\text{H}_2}\) (from the balanced equation).
Report the calculated moles of H\_2O as the final answer, which corresponds to the amount of water produced from the complete combustion of 64.0 g of acetylene.