The root mean square speed of one mole of a monoatomic gas having molecular mass `M` is `u_(rms)` The relation between the average kinetic energy `(E)` of the gas and `u_9rms)` is .A. `U_(rms) = sqrt((3E)/(2M))`B. `U_(rms) = sqrt((2E)/(3M))`C. `U_(rms) = sqrt((2E)/(M))`D. `U_(rms) = sqrt((E)/(3M))`

The root mean square speed of one mole of a monoatomic gas having mole

1.	The root mean square speed of one mole of a monoatomic gas having molecular mass `M` is `u_(rms)` The relation between the average kinetic energy `(E)` of the gas and `u_9rms)` is .A. `U_(rms) = sqrt((3E)/(2M))`B. `U_(rms) = sqrt((2E)/(3M))`C. `U_(rms) = sqrt((2E)/(M))`D. `U_(rms) = sqrt((E)/(3M))`
Answer» Correct Answer - C `U_(rms)=sqrt((3RT)/(M))` `E=3/2RT` or `RT=(2E)/(3)` `U_(rms)=sqrt((3xx2E)/(3//m))=sqrt((2E)/(M))`

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The root mean square speed of one mole of a monoatomic gas having molecular mass `M` is `u_(rms)` The relation between the average kinetic energy `(E)` of the gas and `u_9rms)` is .A. `U_(rms) = sqrt((3E)/(2M))`B. `U_(rms) = sqrt((2E)/(3M))`C. `U_(rms) = sqrt((2E)/(M))`D. `U_(rms) = sqrt((E)/(3M))`

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