<u>Answer:</u> Mass of hydrogen gas that must react will be 5.22 grams.
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
....(1)
Given mass of water = 47 g
Molar mass of water = 18 g/mol
Putting values in above equation, we get:

For the given balanced chemical equation:

By Stoichiometry of the reaction:
2 moles of water are formed from 2 moles of hydrogen gas.
So, 2.61 moles of water will be formed from
of hydrogen gas.
Now, calculating the mass of hydrogen by using equation 1:
Moles of hydrogen gas = 2.61 moles
Molar mass of hydrogen gas = 2 g/mol
Putting values in equation 1, we get:

Hence, mass of hydrogen gas that must react will be 5.22 grams.