What volume of oxygen is required to burn completely a mixture of 22.4 L of methane and 11.2 L of hydrogen into carbon dioxide and steam? Equations of the reactions are given below. (Assume that all volumes are measured at STP.)
`CH_(4)+2O_(2) to CO_(2)+2H_(2)O`
`2H_(2)+O_(2) to 2H_(2)O`

Explanation

To solve the problem of determining the volume of oxygen required to completely burn a mixture of 22.4 L of methane (CH₄) and 11.2 L of hydrogen (H₂), we will use the stoichiometry of the given chemical reactions.

### Step-by-Step Solution:

**Step 1: Write down the balanced chemical equations.**
1. The combustion of methane:
\[
CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O
...