The ratio of the $rms$ speed of $H_2$ at $50 \ K$ to the $rms$ speed of $O_2$ at $800 \ K$ is ......

At which temperature will the average velocity of ammonia $(NH_3)$ molecules be identical to the average velocity of nitric oxide $(NO)$ molecules at $327\,^oC$?

$A$ gas bulb of $1 \ L$ capacity contains $2.0 \times 10^{21}$ molecules of nitrogen gas at a pressure of $7.57 \times 10^3 \ N \ m^{-2}$. Calculate the root mean square speed in $cm \ sec^{-1}$. (in $.5$)

In which of the following pairs do the gaseous species diffuse with the same rate of diffusion under similar conditions of temperature and pressure?

The most probable velocity is given by .......

The following graph is obtained for a gas at different temperatures $T_1$,$T_2$,$T_3$. What is the correct order of temperature? ($x$-axis $=$ velocity; $y$-axis $=$ number of molecules)