If the value of $u_{rms}$ at $27\,^{\circ}C$ is $30\sqrt{R}$,what is the molar mass of the gas in kilograms?

The ratio of root mean square velocity of $H_2$ at $50 \ K$ to that of $O_2$ at $800 \ K$ is

By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled?

The $r.m.s.$ velocity of a certain gas is $v$ at $300 \ K$. The temperature,at which the $r.m.s.$ velocity becomes double,is ............... $K$.

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