At what temperature, the velocity distribution function for the oxygen molecules will have maximum v — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

The distribution function has its maximum value at the most probable speed: u_mp = √(2RT/M). Given u_mp = 400 m/s, M = 0.032 kg/mol: 400 = √(2 × 8.0 × T / 0.032) → 160000 = 16 T / 0.032 → T = 320 K = 47°C.