The average velocity of ideal gas molecules at $27\,^oC$ is $0.3\,m/s$. The average velocity at $927\,^oC$ is .......... $m/s$.

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 .......

If the average velocity of $N_2$ molecule is $0.3 \, m/s$ at $27 \, ^\circ C$,then the velocity will be $0.6 \, m/s$ at ........... $K$.

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 $16$)

The ratio of densities of $O_2$ and $H_2$ is $16 : 1$. The ratio of their $rms$ velocities will be:

$\alpha, v$ and $u$ represent the most probable velocity, average velocity, and root mean square velocity, respectively, of a gas at a particular temperature. The correct order among the following is: