From the balanced equation \( 2H_2 + O_2 \rightarrow 2H_2O \), we see that 2 moles of hydrogen gas produce 2 moles of water.
Therefore, if 4 moles of hydrogen are used, the number of moles of water produced will be:
\[
\frac{2 \, \text{moles of water}}{2 \, \text{moles of hydrogen}} \times 4 \, \text{moles of hydrogen} = 4 \, \text{moles of water}
\]
Thus, 4 moles of water will be formed.