Equation of State: Ideal Gas

The ideal gas equation of state, developed by Benoît Paul Émile Clapeyron in 1834 (Ref. 1) is given by:

$\left.pV=Nk_{B}T\right.$

or

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where:

• $p$ is the pressure
• $V$ is the volume
• Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N } is the number of molecules
• Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n } is the number of moles
• Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T } is the absolute temperature
• Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_B } is the Boltzmann constant
• $R$ is the molar gas constant.

See also

• Gay-Lussac's law
• Charles's law
• Boyle's law

References

1. Émile Clapeyron "Mémoire sur la puissance motrice de la chaleur", Journal de l'Ecole polytechnique, Tome 14 pp. 153-190 (1834) (Check this)