At $T \ K$,the $RMS$ velocity of $He$ is equal to the $RMS$ velocity of $SO_2$ at $127^{\circ} C$. What is $T$ (in $K$)?

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

The ratio between the most probable speed of $N_2$ at $400 \ K$ and $CO$ at $800 \ K$ is (molar mass of $N_2 = 28 \ g \ mol^{-1}$,molar mass of $CO = 28 \ g \ mol^{-1}$)

Points $I$,$II$ and $III$ in the following plot respectively correspond to ($V_{mp}:$ most probable velocity).

$A$ gas bulb of $1 \ L$ capacity contains $2.0 \times 10^{21}$ molecules of nitrogen gas at a pressure of $7.57 \times 10^3 \ N \ m^{-2}$. Calculate the root mean square speed in $cm \ sec^{-1}$. (in $.5$)

Consider a mixture of $SO_2$ and $O_2$ kept at room temperature. Compared to the oxygen molecule,the $SO_2$ molecule will hit the wall with