Start with finding the molar masses of both H2 and N2. Since they are both diatomic (N2 has 2 atoms of N, H2 has 2 atoms of H) we will need to multiply the mass of H by 2 to find the mass of H2, for example.
If you look on the periodic table, you will see that H has a mass of 1.01 g. N has a mass of 14.01 g. That means H2 has a mass of (2 x 1.01g) = 2.02 g and N2 has a mass of (2x14.01g) = 28.02 g.
We would need a chemical reaction in order to figure out the answer to this question. It is likely that this problem is about the chemical formula for creating ammonia gas from nitrogen and hydrogen, which is:
H2 + N2 --> NH3 Balancing this, we get 3H2 + N2 --> 2NH3
Now, we have enough information, we just need to put it together.
2.15 g N2 x (1 mol N2/28.02 g N2) x (3 mol H2/1mol N2) x (2.02 g H2/1 mol H2) = 0.46 g H2
We use the information given plus ratios given in the problem to convert the mass of N2 to moles, convert moles of N2 to moles of H2, then use the molar mass of H2 to convert moles of H2 to mass of H2 for our final answer.