Avogadro's Law states that in the same volume of any gas, at the same temperature and pressure, there is the same number of molecules or atoms.
Watch the following video which provides a visualization of Avogadro's Law.
Source: Avogadro's Law, TutorVista, YouTube
At STP (see section 2), the volume of 1 mole of a gas contains 6.02 x 1023 atoms or molecules of that gas.
At STP, the volume of 1 mole of gas is 22.4 Liters.
6.02 x 1023 is called Avogadro's number, and represents the number of particles in 1 mole of any substance, not just gasses.
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