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The rms velocity of a gas kept at a temp...

The rms velocity of a gas kept at a temperature of `27^(@)C` in a vessel is `61m//s`. The vessel is filled with
[R = 8.31`J//mol K`]

A

`O_(2)`

B

`N_(2)`

C

`CO_(2)`

D

`H_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_("rms")=sqrt((3RT)/(M))`
`thereforeM=(3RT)/(V_("rms")^(2))=(3xx8.31xx300)/(61xx61)=2`
`therefore` Molecular weight of the gas = 2 `therefore` It must be hydrogen.
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MARVEL PUBLICATION-KINETIC THEORY OF GASES ,THERMODYNAMICS AND RADIATION-TEST YOUR GRASP - 9
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