Hello, Kris,
We are not given any information on the conditions of pressure and temperature of the gases. We'll need to assume they are both at STP, or at least at equal conditions. All gases at STP occupy 22.4 Liters per mole of gas. 60 Liters of N2 at STP represents 60L/22.4L/mole, or 2.68 moles N2. The equation says we need 3 times that number of moles of hydrogen, or 8.04 moles of H2. Convert that to Liters of H2 by multiplying by (22.4 L/mole). I get 180 Liters of H2. Note that 180 liters is 3 times the 60 liters of nitrogen.
Note that as long as the gases are under the same conditions, their volumes will be directly comparable to the moles of of that gas. 8.12345 ml of H2 will have the same number of molecules as 8.12345 ml of C4H10, for example
Bob