The root mean square velocity of a gas molecule is proportional to:

At $400 \ K$,the root mean square $(rms)$ speed of a gas $X$ (molecular weight $= 40$) is equal to the most probable speed of gas $Y$ at $60 \ K$. The molecular weight of the gas $Y$ is:

What would be the ratio of the root mean square velocity of hydrogen gas at $50 \ K$ and that of oxygen at $800 \ K$?

At $133.33 \ K$,the $RMS$ velocity of an ideal gas is $(M = 0.083 \ kg \ mol^{-1}; R = 8.3 \ J \ mol^{-1} \ K^{-1})$ (in $m \ s^{-1}$)

The $rms$ speed at $NTP$ of the species can be calculated from the expression

The temperature of an ideal gas increases from $120 \ K$ to $480 \ K$. If the root mean square velocity of the gas molecules at $120 \ K$ is $v$,then at $480 \ K$ it will be .......