Equation of State: Ideal Gas

The ideal gas equation of state, developed by Benoît Paul Émile Clapeyron in 1834 ^[1] is given by:

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

or

\left.pV=nRT\right.

where:

$p$ is the pressure
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 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
$k_{B}$ is the Boltzmann constant
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 R } is the molar gas constant.

References[edit]

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