Questions in Kinetic Theory of Gases

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The velocity of the molecules of a gas at temperature 120K is $v$. At what temperature will the velocity be $2v$
If the pressure in a closed vessel is reduced by drawing out some gas, the mean free path of the molecules
At constant volume, temperature is increased. Then
The r.m.s. speed of the molecules of a gas at a pressure ${{10}^{5}}$ Pa and temperature $0{}^\circ C$ is $0.5km\ {{\sec }^{-1}}.$ If the pressure is kept constant but temperature is raised to 819°C, the velocity will become
At what temperature r.m.s. speed of air molecules doubles of that at N.T.P. is
The r.m.s. speed of a certain gas is v at 400K. The temperature at which the r.m.s. speed becomes two times, will be
A cubical box with porous walls containing an equal number of ${{O}_{2}}$ and H2 molecules is placed in a large evacuated chamber. The entire system is maintained at constant temperature T. The ratio of ${{v}_{rms}}$of ${{O}_{2}}$molecules to that of the ${{v}_{rms}}$of $H_2$ molecules, found in the chamber outside the box after a short interval is
The gas having average speed four times as that of $S{{O}_{2}}$ (molecular mass $64$) is
A monoatomic gas molecule has
A diatomic molecule has how many degrees of freedom

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