Questions in Kinetic Theory of Gases

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For a gas at a temperature $T$ the root-mean-square velocity ${{v}_{rms}},$ the most probable speed ${{v}_{mp}},$ and the average speed ${{v}_{av}}$ obey the relationship
If ${{V}_{H}},\,\,{{V}_{N}}$ and ${{V}_{O}}$ denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then
If mass of He atom is 4 times that of hydrogen atom then mean velocity of He is
The r.m.s. speed of a group of 7 gas molecules having speeds (6, 4, 2, 0, – 2, – 4, – 6) m/s is
If the ratio of vapour density for hydrogen and oxygen is $\frac{1}{16}$, then under constant pressure the ratio of their rms velocities will be
Molecular motion shows itself as
According to the kinetic theory of gases, at absolute temperature
The r.m.s. speed of gas molecules is given by
What is the velocity of wave in monoatomic gas having pressure 1 kilopascal and density $2.6\,kg/{{m}^{3}}$
When temperature of an ideal gas is increased from $27{}^\circ C$ to $227{}^\circ C$, its r.m.s. speed changed from 400 metre/sec to ${{V}_{s}}.$ The ${{V}_{s}}$ is

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