The mean free path $\ell$ for a gas molecule depends upon the diameter $d$ of the molecule as:

Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at $2.0 \; atm$ and temperature $17\,^{\circ} C$. Take the radius of a nitrogen molecule to be roughly $1.0 \; \mathring{A}$. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of $N_{2} = 28.0 \; u$).

In a dilute gas at pressure $P$ and temperature $T$,the mean time between successive collisions of a molecule varies with $T$ as

According to the Kinetic Theory of Gases,which of the following statements is correct?

The mean free path of molecules of a gas (radius $r$) is inversely proportional to

The value of critical temperature in terms of Vander Waals constants $a$ and $b$ is