<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:
![\text{Moles of }H_2O=\frac{47g}{18g/mol}=2.61mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DH_2O%3D%5Cfrac%7B47g%7D%7B18g%2Fmol%7D%3D2.61mol)
For the given balanced chemical equation:
![2H_2+O_2\rightarrow 2H_2O](https://tex.z-dn.net/?f=2H_2%2BO_2%5Crightarrow%202H_2O)
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:
![2.61mol=\frac{\text{Mass of hydrogen gas}}{2g/mol}\\\\\text{Mass of hydrogen gas}=5.22g](https://tex.z-dn.net/?f=2.61mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20hydrogen%20gas%7D%7D%7B2g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20hydrogen%20gas%7D%3D5.22g)
Hence, mass of hydrogen gas that must react will be 5.22 grams.