In thermal equilibrium,the average velocity of gas molecules is

The molecular masses of helium and oxygen are $4$ and $32$ respectively. The ratio of r.m.s speed of helium at $327^{\circ} C$ to r.m.s speed of oxygen at $27^{\circ} C$ will be

Uranium has two isotopes of masses $235$ and $238$ units. If both of them are present in uranium hexafluoride gas, find the percentage ratio of the difference in rms velocities of the two isotopes to the rms velocity of the heavier isotope.

The temperature of an ideal gas is increased from $27^{\circ}C$ to $927^{\circ}C$. The root mean square speed of its molecules becomes:

According to the kinetic theory of gases,the $r.m.s.$ velocity of gas molecules is directly proportional to:

Two vessels having equal volume contain molecular hydrogen at $1 \text{ atm}$ and helium at $2 \text{ atm}$ respectively. If both samples are at the same temperature,the mean velocity of hydrogen molecules is