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Which of the following is/are correct re...

Which of the following is/are correct regarding root mean square speed `(U_(rms))` & average translation K.E. `(E_(av))` of molecules in a gas at equilibrium

A

`U_(rms)` is inversely proportional to square root of its molecular mass

B

`U_(avg)` at a given temperature does not depend on its molecular mass

C

`U_(avg)` is doubled when its temperature is increased four times

D

`U_(rms)` is doubled when its temperature is increased four times

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`mu_(rms) = sqrt((3RT)/(M)) rArr mu_(rms) prop (1)/(sqrtM)`
`epsi_(av) = (3)/(2) kT rArr` independent of molar mass
`mu_(rms) prop sqrtT " " :. mu_(rms)` is doubled when temperature is increased four times
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