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Physics
The rms speed of the molecules of a gas in a vessel is 400 text ms-1 . If half of the gas leaks out, at constant temperature, the rms speed of the remaining molecules will be:
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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:
KEAM
KEAM 2002
Kinetic Theory
A
$ 800\,m{{s}^{-1}} $
7%
B
$ 400\sqrt{2}\,m{{s}^{-1}} $
17%
C
$ 400\,m{{s}^{-1}} $
64%
D
$ 200\,m{{s}^{-1}} $
10%
E
$ 200\sqrt{2}\,m{{s}^{-1}} $
10%
Solution:
$ {{v}_{rms}}\propto \sqrt{T} $ Hence, rms speed remains $ 400\text{ }m{{s}^{-1}} $ .