Equation of state

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equation of state

(Also known, for an ideal gas, as the Charles–Gay–Lussac law, or Charles law, or Gay–Lussac's law.) An equation relating temperature, pressure, and volume of a system in thermodynamic equilibrium.

The equation of state for an ideal gas of N molecules in a volume V is
where p is pressure, T is absolute temperature, and k is Boltzmann's constant. After division by the mass of the volume, this may also be written as
where α is the specific volume and R is an individual gas constant. For a mixture of gases, a similar equation may be written with the aid of Dalton's law, where R becomes a weighted average of the individual gas constants.

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