write the virial equation of state.
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The classical virial expansion expresses the pressure P}P of a many-particle system in equilibrium as a power series in the number density:
This is the virial equation of state, the most general function relating PρT properties of fluids, first proposed by Kamerlingh Onnes.[1] The compressibility factor is a dimensionless quantity, indicating how much a real fluid deviates from an ideal gas. A is the first virial coefficient, which has a constant value of 1 and it makes the statement that at low molar density, all fluids behave like ideal gases. Virial coefficients B, C, D, etc., are temperature dependent, and are generally presented as Taylor series in terms of 1/T.
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