The average translational energy and the rms speed of molecules of a sample of oxygen gas at 300 k are
6.21 × 10−21 J and 484 ms−1 respectively. The corresponding values at 600 K are nearly (assuming ideal
gas behavior)
E ∝ T and vrms ∝ √T. Hence at 600K,
E = 6.21 × 10−21 × 600300
= 12.42 × 10−21 J
And vrms = 484 × √600300 = 684 ms−1
Which is choice (d)