Identify the chemical formula of hydrogen gas, which is \(\mathrm{H_2}\), meaning it consists of two hydrogen atoms bonded together.
Recall the atomic mass of a single hydrogen atom, which is approximately 1.01 g/mol.
Calculate the molar mass of hydrogen gas by multiplying the atomic mass of hydrogen by the number of atoms in the molecule: \(2 \times 1.01\ \mathrm{g/mol}\).
Express the molar mass as the sum of the masses of the two hydrogen atoms, which gives the total molar mass of \(\mathrm{H_2}\).
Conclude that the molar mass of hydrogen gas is approximately 2.02 g/mol based on the calculation.