Avogadro's Law

In 1811 Amedeo Avogadro stated the hypothesis which we now call Avogadro's law:
equal volumes of gases, at the same temperature and pressure, contain the same number of molecules. (See: this site for an English translation of his 1811 paper).
Thus the number of molecules in a specific volume of gas is independent of the size or mass of the gas molecules. This important observation when combined with the observations of Avogadro's contemporaries:
the amount of moles is directly proportional to the volume of the gas;
the amount of moles is directly proportional to its pressure: from Boyle's law; and
the amount of moles is inversely proportional to its temperature: from Charles' law;
can be expressed in combined form:
n \propto {PV \over T}.
Including a proportionality constant, R, to make an equality instead of a proportion yields:
n = {PV \over RT}
With pressure expressed in kPa, volume in Liters, and temperature in Kelvins; R (the gas constant) is equal to 8.314 (kPa × L)/(K × mol), and n represents the number of moles. This is also known as the ideal gas law: PV=nRT. One mole of any gas occupies approximately 22.4 Liters (dm3) at STP. This is often referred to as the molar volume of a gas. The number of molecules in one mole is called Avogadro's number: approximately 6.022 × 1023 particles/mole.

 

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