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Q. The rms speed of the molecules of a gas in a vessel is $ 400\text{ }m{{s}^{-1}} $ . If half of the gas leaks out, at constant temperature, the rms speed of the remaining molecules will be:

KEAMKEAM 2002Kinetic Theory

Solution:

$ {{v}_{rms}}\propto \sqrt{T} $ Hence, rms speed remains $ 400\text{ }m{{s}^{-1}} $ .