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Thermodynamics & Statistical Physics

Van der Waals Equation

An equation of state modifying the ideal gas law to account for finite molecular volume and attractive intermolecular forces in real gases.

Governing formula (P + a n² / V²) (V - n b) = n R T
SI unit Pa·m³

In depth

Parameter $a$ accounts for attractive intermolecular forces (lowering wall pressure), while parameter $b$ accounts for excluded volume of hard-sphere gas molecules.

Examples in the real world

Accurately modeling real gas condensation behavior and critical point transitions near high pressures.