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==Relation to kinetic theory== The [[kinetic theory of gases]] relates the [[macroscopic]] properties of gases, such as pressure and volume, to the [[microscopic]] properties of the molecules which make up the gas, particularly the mass and speed of the molecules. To derive Charles's law from kinetic theory, it is necessary to have a microscopic definition of temperature: this can be conveniently taken as the temperature being proportional to the average [[kinetic energy]] of the gas molecules, {{overline|''E''}}<sub>k</sub>: :<math>T \propto \bar{E_{\rm k}}.\,</math> Under this definition, the demonstration of Charles's law is almost trivial. The kinetic theory equivalent of the ideal gas law relates {{mvar|PV}} to the average kinetic energy: :<math>PV = \frac{2}{3} N \bar{E_{\rm k}}\,</math>
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