Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at $STP$. Take the diameter of an oxygen molecule to be $3 \mathring A$.

If the mean free path is doubled,the pressure becomes:

Write the condition for a real gas to behave as an ideal gas.

If the diameter of a gas molecule is very small,what will be the mean free path?

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion,the average time of collision between molecules increases as $V^q$,where $V$ is the volume of the gas. The value of $q$ is $\left( \gamma = \frac{C_P}{C_V} \right)$.

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 $N_{2} = 28.0 \; u$).