At what temperature, the speeds of nitrogen gas molecules at C1 = 300 m/s and C2 = 600 m/s, are asso — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

For f(C1) = f(C2): C1^2 e^(-M C1^2 / 2RT) = C2^2 e^(-M C2^2 / 2RT) → (C2/C1)^2 = e^(M (C2^2 - C1^2) / 2RT) → (600/300)^2 = e^(0.028 × (360000 - 90000) / 2RT) → 4 = e^(0.028 × 270000 / 2RT) → ln 4 = 7560 / 2RT → 2 × 0.7 = 3780 / T → 1.4 T = 3780 → T = 2700 K. No option matches this exactly, but the printed answer key lists (c) 64.5°C.