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 .......... $K$.

What is the kinetic energy (in $J \ mol^{-1}$) of one mole of an ideal gas (molar mass $= 0.1 \ kg \ mol^{-1}$) if its rms velocity is $4 \times 10^2 \ ms^{-1}$ at $T(K)$?

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

$RMS$ 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? $(R=8.3 \ J \ mol^{-1} \ K^{-1})$

Explain the effect of temperature on the Maxwell-Boltzmann velocity distribution.

The root mean square velocity of an ideal gas at constant pressure varies with density $(d)$ as: