The ratio of the most probable speed,average speed,and $RMS$ speed is given by:

The ratio between the $RMS$ velocity of $N_2$ at $200 \ K$ and that of $CO$ at $800 \ K$ is (molecular mass of $N_2 = 28 \ g \ mol^{-1}$, molecular mass of $CO = 28 \ g \ mol^{-1}$)

Which of the following gases has the maximum $R.M.S.$ velocity at $25,^{\circ}C$?

Which of the following gases will have the highest rate of diffusion?

At temperature $T$ (in Kelvin),the $rms$ velocity of $CO_2$ is $x \ cm/sec$. At what temperature (in Kelvin) will the $rms$ velocity of nitrous oxide $(N_2O)$ be $4x \ cm/sec$ (in $T$)?

At $T(K)$, the root mean square (rms) velocity of argon (molar mass $40 \ g \ mol^{-1}$) is $20 \ ms^{-1}$. The average kinetic energy of the same gas at $T(K)$ (in $J \ mol^{-1}$) is: