Question

Estimate the fraction of molecular volume to the actual volume occupied by Nitrogen gas at STP. Assume the radius of N₂ = 300 pm.

Answer 1

Consider one mole of N₂ gas at STP

∴ Actual volume, v_act = 22.4L

v_act = 22.4 × 10^-3m³

molecular volume, V_mol= N_A ×\(\frac{4}{3}\) × π ×R³

∴ V_mol = 6.81 × 10^-5m³

∴ Ratio of molecular volume to actual volume,

= 3.04 × 10^-3.