Final answer:
The difference in volume between 0.2 kg of hydrogen and 0.2 kg of air, with densities of 0.08 kg/m³ and 1.205 kg/m³ respectively, is 2.334 m³.
Step-by-step explanation:
To calculate the difference in volume between 0.2 kg of hydrogen and 0.2 kg of air, given their respective densities, we apply the formula for density, which is density = mass / volume. We can rearrange this formula to solve for volume, yielding volume = mass / density. For hydrogen, the volume is 0.2 kg / 0.08 kg/m³ = 2.5 m³. For air, we use its given density to find the volume as 0.2 kg / 1.205 kg/m³ ≈ 0.166 m³. The difference in volume is thus 2.5 m³ - 0.166 m³ = 2.334 m³.