If the $u_{rms}$ value of a gas at $27\,^oC$ is $30\,R^{1/2}$,then the molar mass of the gas is ........... $kg/mol$.

The ratio between $RMS$ velocities of $H_2$ at $50 \ K$ and $O_2$ at $800 \ K$ is

At constant temperature and pressure,which gas will diffuse first,$H_2$ or $O_2$?

The most probable speed $(u_{mp})$ of $8 \ g$ of $H_2$ is $2 \times 10^2 \ ms^{-1}$. The kinetic energy (in $J$) of the same amount of $H_2$ gas is:

The $RMS$ speed of $SO_2$ is the same as that of $O_2$ at $303 \, K$. This speed will be achieved at a temperature of .......... $K$.

The r.m.s. velocity of $CO_2$ at a temperature $T$ (in kelvin) is $x \ cm \ s^{-1}$. At what temperature (in kelvin), the r.m.s. velocity of nitrous oxide would be $4 x \ cm \ s^{-1}$ (in $T$)? (Atomic weights of $C, N$ and $O$ are respectively $12, 14$ and $16$)