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The compressibility factor (Z), also known as the compression factor, is the ratio of the molar volume of a gas to the molar volume of an ideal gas at the same temperature and pressure. It is a useful thermodynamic property for modifying the ideal gas law to account for the real gas behavior.

The compressibility factor is defined as:

$Z=\frac{V_{\mathrm{m}}}{(V_{\mathrm{m}})_{\text{ideal gas}}}=\frac{p V_{\mathrm{m}}}{R T},$

where $V_{\mathrm{m}}$ is the molar volume, $(V_{\mathrm{m}})_{\text{ideal gas}} = RT/p$ is the molar volume of the corresponding ideal gas, $p$ is the pressure, $T$ is the temperature, and $R$ is the gas constant.

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