At what temperature $T$ will the average speed of $CO_2$ gas be $9.0 \times 10^4 \ cm \ s^{-1}$ (in $K$)?

The $rms$ speed of $N_2$ molecules in a gas is $u$. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms,what will be the new $rms$ speed?

At what temperature will the root mean square speed of ozone $(O_3)$ be equal to the root mean square speed of oxygen $(O_2)$ at $27\,^oC$?

The average speed of $H_2$ at $T_1 \ K$ is equal to that of $O_2$ at $T_2 \ K$. The ratio $T_1: T_2$ is

The average speed $(u_{avg})$ of $O_2$ gas at $\pi \times 10 \ bar$ pressure in an $8 \ m^3$ container containing $2 \ moles$ is:

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 $T(K)$?