Derivation From The Gas Laws
Boyle's Law states that the pressure-volume product is constant:
Charles's Law shows that the volume is proportional to absolute temperature:
Gay-Lussac's Law says that the pressure is proportional to the absolute temperature:
where P is the pressure, V the volume and T the absolute temperature and of an ideal gas.
By combining (1) and either of (2) or (3) we can gain a new equation with P, V and T. Equation (2) is used in this example, and the arbitrary subscript on the constant is dropped so that k = k2.
Substituting in Avogadro's Law yields the ideal gas equation.
Read more about this topic: Combined Gas Law
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