An experiment is carried out on a fixed amount of gas at different temperatures and at high pressure such that it deviates from ideal gas behavior. The variation of $\frac{PV}{RT}$ with $P$ is shown in the diagram. The correct variation will correspond to

Statement-$1$: Real gas approaches ideal gas behaviour for low pressures and high temperatures.
Statement-$2$: At low pressure,the density of a gas is very low.

If the mean free path of atoms is doubled,then the pressure of the gas will become:

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 $3 \mathring A$.

Given below are two statements:
Statement $(I)$: The mean free path of gas molecules is inversely proportional to the square of the molecular diameter.
Statement $(II)$: The average kinetic energy of gas molecules is directly proportional to the absolute temperature of the gas.
In the light of the above statements,choose the correct answer from the options given below:

If the pressure in a closed vessel is reduced by drawing out some gas,the mean free path of the molecules