Questions in Kinetic Theory of Gases

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The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean square speed for these molecules is
At a given temperature the ratio of r.m.s. velocities of hydrogen molecule and helium atom will be
If the oxygen ($O_2$) has root mean square velocity of C m/s, then root mean square velocity of the hydrogen ($H_2$) will be
To what temperature should the hydrogen at room temperature (27°C) be heated at constant pressure so that the R.M.S. velocity of its molecules becomes double of its previous value
The temperature of an ideal gas is reduced from 927°C to 27°C. The r.m.s. velocity of the molecules becomes
The r.m.s. speed of the molecules of a gas in a vessel is 400 $m{{s}^{-1}}$. If half of the gas leaks out, at constant temperature, the r.m.s. speed of the remaining molecules will be
Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
At a given temperature if ${{V}_{rms}}$ is the root mean square velocity of the molecules of a gas and ${{V}_{s}}$ the velocity of sound in it, then these are related as $\left( \gamma =\frac{{{C}_{P}}}{{{C}_{v}}} \right)$
The root mean square speed of hydrogen molecules at 300 $K$ is 1930 m/s. Then the root mean square speed of oxygen molecules at 900 K will be
Let A and B the two gases and given : $\frac{{{T}_{A}}}{{{M}_{A}}}=4.\frac{{{T}_{B}}}{{{M}_{B}}};$ where $T$ is the temperature and M is molecular mass. If ${{C}_{A}}$ and ${{C}_{B}}$ are the r.m.s. speed, then the ratio $\frac{{{C}_{A}}}{{{C}_{B}}}$ will be equal to

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