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

Options

A. `E_(av)` is doubled when its temperature is increased 4 times
B. `U_(rms)` is inversely proportional to the square root of its molecular mass
C. `E_(av)` at a given temperature doesn't depend on its molecular mass
D. `U_(rms)` is doubled when its temperature is increased 4 times

Answer

B, C, D

Explanation

`E_(av)=3/2 RT " " U_(rms) =sqrt((3RT)/M) " " & " " U_(rms) prop 1/(sqrt(M))`
` :. E_(AV)` doesn't depend on its molecular mass