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

If the $RMS$ speed of nitrogen at a certain temperature is $3000 \ ms^{-1}$,the approximate kinetic energy of one mole of nitrogen at that temperature in $kJ$ is (assume nitrogen as ideal gas)

Which of the following changes can be made in order to double the root mean square speed,$(V_{rms})$,of a gas kept in a rigid container?

By what ratio does the average velocity of a gas molecule change when the temperature is raised from $50^{\circ}C$ to $200^{\circ}C$ (in $: 1$)?

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

At a temperature of $27\,^{\circ}C$,$0.5 \, mol$ of $O_2$ gas is filled in a $50 \, L$ container at a pressure of $2 \, atm$. If half of the $O_2$ molecules are removed from the container,the $rms$ speed of the $O_2$ molecules will........