Question

How to explain that excluded volume of gas molecule is four times of actual volume of gas molecule?

Answer 1

Answer:

The simplistic answer would be that the actual volume of a gas is the volume a given gas will occupy in a container at a given pressure, while the excluded volume is the space between the atoms which cannot be occupied by an atom of the gas due to the size of the atoms in question.

Explanation:

there can only be up to n/2 collisions of particles, where n is the total number of particles in a container. Therefore, the total volume excluded is half of the calculated excluded volume above. Excluded volume, then, is equal to 4V or 4 times the volume of each molecule.