The $rms$ velocity of molecules of a gas of density $4 \ kg \ m^{-3}$ and pressure $1.2 \times 10^{5} \ Nm^{-2}$ is (in $ms^{-1}$)

At what temperature will the $rms$ speed of $N_2$ gas at $1 \, atm$ pressure be equal to the $rms$ speed of $CO_2$ at $STP$?

Which one of the following statements is $NOT$ true about the effect of an increase in temperature on the distribution of molecular speeds in a gas?

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

If the kinetic energy and $RMS$ speed of a gas at a certain temperature are $4.0 \ kJ \ mol^{-1}$ and $5.0 \times 10^4 \ cm \ s^{-1}$,respectively,the molecular weight of the gas is:

Which of the following gases has the maximum $R.M.S.$ velocity at $25,^{\circ}C$?