If the temperature of a gas is increased from $37\,^oC$ to $927\,^oC$,then its original root mean square speed will become ...........

The average speed $(U_{avg})$ of $O_2$ at $\pi \times 10 \ bar$ pressure in an $8 \ L$ container containing $2 \ moles$ is:

$RMS$ velocity of one mole of an ideal gas was measured at different temperatures. $A$ graph of $(u_{rms})^2$ (on y-axis) and $T(K)$ (on x-axis) gave a straight line passing through the origin and its slope is $249 \ m^2 \ s^{-2} \ K^{-1}$. What is the molar mass (in $kg \ mol^{-1}$) of the ideal gas? $(R=8.3 \ J \ mol^{-1} \ K^{-1})$

The density of a gas at $100 \, kPa$ pressure is $0.1 \, g \, cm^{-3}$. What will be its $rms$ speed in $m \, s^{-1}$?

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

$\alpha, v$ 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: