Explain why from the equality of the number of gas molecules in equal volumes (Avogadro’s law)

Explain why from the equality of the number of gas molecules in equal volumes (Avogadro’s law) it follows that 1 mole of any gas under the same conditions occupies the same volume.

We know that one mole of any gas contains 6.02 * 10 ^ 23 molecules. And since, according to Avogadro’s law, the same number of gas molecules occupies the same volume, then 1 mole of any gas occupies the same volume, since it contains the same number of molecules.