Compressibility factor

The compressibility factor, 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 Z} , is given by

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 Z=\frac{pV}{Nk_BT}}

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 k_B} is the Boltzmann constant, T is the temperature and N is the number of molecules.

Compressibility factor of an Ideal Gas

From the ideal gas law we see that

$Z={\frac {pV}{Nk_{B}T}}=1$

(see also: Zeno line)