What does the equation V/n = a in Avogadro's Law represent?

Avogadro's Law states that the volume of a gas is directly proportional to the number of moles of the gas when pressure and temperature are held constant. In the equation V/n = a, V represents volume, n represents the amount of substance in moles, and a is a constant for a given sample of gas at constant temperature and pressure.

This relationship highlights that as the number of moles (n) of a gas increases, the volume (V) also increases proportionally. The value of 'a' represents the proportionality constant that encompasses the effects of temperature and pressure, and under these conditions, it remains constant for any specific gas or gas mixture. Thus, the equation underscores the fundamental idea of Avogadro's Law, which asserts that equal volumes of gases, at the same temperature and pressure, contain an equal number of molecules.