The average translational energy and the rms speed of molecules in a sample of oxygen gas at 300 K are 6.21×10−21J & 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour )

12.42 × 10 − 21 J , 684 m / s

12.42 × 10 − 21 J , 684 m / s

6.21 × 10 − 21 J , 968 m / s

8.78 × 10 − 21 J , 684 m / s

12.42 × 10 − 21 J , 968 m / s

12.42 × 10 − 21 J , 684 m / s

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The average translational energy and the rms speed of molecules in a sample of oxygen gas at 300 K are $6.21 \times 10^{- 21} J & 484 m / s$ respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour )

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$6.21 \times 10^{- 21} J, 968 m / s$

$8.78 \times 10^{- 21} J, 684 m / s$

$12.42 \times 10^{- 21} J, 968 m / s$

$12.42 \times 10^{- 21} J, 684 m / s$

answer is D.

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$E \propto T and V_{rms} \propto \sqrt{T} .$ Hence at 600K,

$E = 6.21 \times 10^{- 21} \times \frac{600}{300}$

$= 12.42 \times 10^{- 21} J$

And $V_{r m s} = 484 \times \frac{\sqrt{600}}{300} = 684 m s^{- 1}$

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