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Multiple Choice
Which set of coefficients correctly balances the chemical equation for the complete combustion of methane (CH_4)?CH_4 + O_2 → CO_2 + H_2O
A
1 CH_4 + 2 O_2 → 2 CO_2 + 2 H_2O
B
1 CH_4 + 2 O_2 → 1 CO_2 + 2 H_2O
C
2 CH_4 + 3 O_2 → 2 CO_2 + 4 H_2O
D
1 CH_4 + 1 O_2 → 1 CO_2 + 2 H_2O
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Verified step by step guidance
1
Identify the reactants and products in the combustion reaction: methane (CH_4) reacts with oxygen (O_2) to produce carbon dioxide (CO_2) and water (H_2O).
Write the unbalanced chemical equation: \(\mathrm{CH_4 + O_2 \rightarrow CO_2 + H_2O}\).
Balance the carbon atoms first. Since there is 1 carbon atom in CH_4 and 1 in CO_2, place a coefficient of 1 before CO_2.
Balance the hydrogen atoms next. There are 4 hydrogen atoms in CH_4, so to balance hydrogen on the product side, place a coefficient of 2 before H_2O (because each H_2O has 2 hydrogens, \(2 \times 2 = 4\) hydrogens).
Balance the oxygen atoms last. On the product side, there are \$2$ oxygen atoms in CO_2 and \(2 \times 1 = 2\) oxygen atoms in 2 H_2O, totaling 4 oxygen atoms. Since each O_2 molecule has 2 oxygen atoms, place a coefficient of 2 before O_2 to balance oxygen atoms.