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Which of the following statement(s) is (...

Which of the following statement(s) is (are) are correct regarding the root mean square speed `(u_("rms"))` and average translational kinetic energy `(E_("av"))` of a molecule in a gas at equilibrium?

A

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

B

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

C

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

D

`u_(rms)` is inversely proportional to the square root of its molecular mass.

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
The expressions for root mean square speed `(u_(rms))` and average kinetic energy are as follows:
`u_(rms)=sqrt((3RT)/(M)) and E_("avg")=3/2 kT`
We know that `k=R//N_(A)`, therefore `E_("avg")=3/2 (RT)/(N_(A))`. So, statements A, C and D are correct.
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