What volume did the hydrogen occupy?

Question

The total mass of the hydrogen gas in the Hindenburg zeppelin was 18,000 kg. What volume did the hydrogen occupy? (Assume that the temperature of the hydrogen was 0°C and that it was at a pressure of 1 atm.)

Answer 1

Hydrogen gas density is 0.08988 kg/m³ under STP (0°C, 1 atm), so the volume is

V=m / ρ = 18,000 / 0.08988 = 2.002 × 10⁵ (m³).