On which factors does the velocity distribution of gas molecules depend?

At the same temperature,which of the following gases will have the highest root mean square speed?

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

At $256 \ K$,the $rms$ speed of $SO_2$ gas molecules is $3.16 \times 10^2 \ ms^{-1}$. What is the most probable velocity (in $ms^{-1}$) of the same gas at the same temperature?

The ratio of root mean square velocity to average velocity of gas molecules at a particular temperature is

At $T$ $(K)$,the $P$,$V$ and $u_{rms}$ of $1$ mole of an ideal gas were measured. The following graph is obtained. What is its slope $(m)$? ($x$-axis $= PV$; $y$-axis $= u_{rms}^2$,$M =$ Molar mass)