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Multiple Choice
How many molecules of water are produced by the complete combustion of 3.00 g of methane (CH_4)?
A
6.02 × 10^{22} molecules
B
1.13 × 10^{23} molecules
C
4.52 × 10^{23} molecules
D
2.26 × 10^{23} molecules
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Verified step by step guidance
1
Write the balanced chemical equation for the complete combustion of methane (CH_4): \(\mathrm{CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O}\).
Calculate the number of moles of methane in 3.00 g using its molar mass. The molar mass of methane (CH_4) is calculated as \(12.01 + 4 \times 1.008\) g/mol. Use the formula: \(\text{moles of CH}_4 = \frac{\text{mass of CH}_4}{\text{molar mass of CH}_4}\).
Use the mole ratio from the balanced equation to find the moles of water produced. According to the equation, 1 mole of CH_4 produces 2 moles of H_2O, so multiply the moles of CH_4 by 2.
Convert the moles of water to molecules using Avogadro's number, \(6.022 \times 10^{23}\) molecules/mol. Use the formula: \(\text{molecules of H}_2\text{O} = \text{moles of H}_2\text{O} \times 6.022 \times 10^{23}\).
Compare your calculated number of water molecules to the given options to identify the correct answer.