We need to determine the number of carbon atoms in one dozen methane (CH\(_4\)) molecules.
A dozen is defined as 12. Therefore, one dozen methane molecules means we have 12 methane molecules.
Each methane molecule (CH\(_4\)) contains one carbon atom.
Since each methane molecule contains one carbon atom, the total number of carbon atoms in 12 methane molecules is: \[ 12 \times 1 = 12 \]
\(\boxed{12}\)
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