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The r.m.s. speed of the molecules of a gas in a vessel is $400 m s^{‑ 1} .$ If half of the gas leaks out, at constant temperature, the r.m.s speed of the remaining molecules will be ________ $\times 10^{2}$

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answer is 4.

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Detailed Solution

It depends only upon the temperature. It is independent of pressure. As there is no change of temperature, C will not change.

Hence the rms speed of molecule = $4 \times 10 m s^{- 1}$

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