The average translational energy and the rms speed of molecules of a sample of oxygen gas at $$300$$ K are $$6.21$$×$$10$$−$$21J$$ and $$484$$ $$ms-1$$ respectively. The corresponding values at $$600$$ K are nearly (assuming$$ ideal gas $$behaviour)

Correct option is 412.42×10−21J,684ms−1

Questions

The average translational energy and the rms speed of molecules of a sample of oxygen gas at 300 K are $6.21 \times 10^{- 21} J$ and 484 ms^-1 respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

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12.42×10−21J,968ms−1

8.78×10−21J,684ms−1

6.21×10−21J,968ms−1

12.42×10−21J,684ms−1

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detailed solution

Correct option is D

E∝T and vrms∝T. Hence at 600 K,E2E1=T2T1⇒E=6.21×10−21×600300 =12.42×10−21Jand v2v1=T2T1 vrms=484×600300≃684ms−1which is choice (d).

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The average translational energy and the rms speed of molecules of a sample of oxygen gas at 300 K are 6.21×10−21J and 484 ms-1 respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

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The average translational energy and the rms speed of molecules of a sample of oxygen gas at 300 K are $6.21 \times 10^{- 21} J$ and 484 ms^-1 respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)