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Question

Which of the following statement(s) is(are) correct regarding the root mean square speed (Urms) and average translational kinetic energy (Eav) of a molecule in a gas at equilibrium ?

A
Urms is inversely proportional to the square root of its molecular mass
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B
Eav is doubled when its temperature is increased four times
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C
Urms is doubled when its temperature is increased four times
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D
Eav at a given temperature does not depend on its molecular mass
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Solution

The correct option is D Eav at a given temperature does not depend on its molecular mass
We know that,
Urms=3RTM
Hence,
Urms is doubled when its temperature is increased four times and Urms is inversely proportional to the square root of its molecular mass.

Eav=32RT
Eav at a given temperature does not depend on its molecular mass


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