The root mean square speed of $O_2$ at $STP$ is ........ $cm/s$.

By how many folds will the temperature of a gas increase when the root mean square velocity of the gas molecules in a container of fixed volume is increased from $5 \times 10^4 \ cm/s$ to $10 \times 10^4 \ cm/s$?

For $1 \ mol$ of a gas,the average kinetic energy is $E$. Then the root mean square velocity $U_{rms}$ of the gas is:

Calculate the root mean square $(rms)$ speed of ozone gas in a closed vessel at a temperature of $20 \, ^\circ C$ and a pressure of $82 \, cm \, Hg$.

If a gas contains only three molecules that move with velocities of $100, 200, 500 \ ms^{-1}$. What is the rms velocity of that gas in $ms^{-1}$?

The r.m.s. velocity of $CO_2$ at a temperature $T$ (in kelvin) is $x \ cm \ s^{-1}$. At what temperature (in kelvin), the r.m.s. velocity of nitrous oxide would be $4 x \ cm \ s^{-1}$ (in $T$)? (Atomic weights of $C, N$ and $O$ are respectively $12, 14$ and $16$)