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Synonyms: Compressibility Z-factor = Z-factor

Dimensionless multiplier in real gas equation of state which describes the deviation of a real gas from ideal gas behaviour:

Z = \frac{p V}{\nu \, R \, T} = \frac{p}{\rho} \cdot \frac{M}{R \, T}

where

It is related to fluid compressibility  as:

c(p) = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp}

Z(p) = \frac{Z_0}{p_0} \cdot p \cdot \exp \left[ - \int_{p_0}^p c(p) dp  \right]

c = - \frac{1}{V} \frac{dV}{dp} = - \frac{d}{dp} \left( \ln V \right) \rightarrow \ln \frac{V}{V_0} = - \int_{p_0}^p c(p) dp 

The Z-factor value is trending towards  for incompressible fluids and  for strongly compressible Fluids.

See also

Natural Science / Physics / Thermodynamics / Equation of State

[ Fluid Compressibility ][ Gas compressibility ]

References