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States of Matter & Gas Laws

Van der Waals Equation

A modified equation of state that corrects the ideal gas law for molecular volume and intermolecular attraction.

Formula / equation (p + an²/V²)(V − nb) = nRT
Unit Various

In depth

The constant a measures the strength of intermolecular attraction and raises the effective pressure, while b represents the excluded volume of the molecules themselves. Large values of a indicate a gas that liquefies easily, and the equation reproduces the S-shaped isotherms near the critical point.

Examples in the real world

Water vapour has a large a (5.54 L²·atm·mol⁻²) reflecting hydrogen bonding; helium's is only 0.034.