Solution:
The balanced chemical equation for the combustion of methane is:
$$CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O$$
From the balanced chemical equation, we can see that 1 mole of methane reacts with 2 moles of oxygen. Therefore, for the combustion of 1 mole of methane, 2 moles of oxygen are required.