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States of Matter & Gas Laws

Compressibility Factor

The ratio of the actual molar volume of a gas to that predicted by the ideal gas law.

Formula / equation Z = pV / nRT
Unit Dimensionless

In depth

Z equals one for an ideal gas. Values below one indicate that attractive forces dominate and the gas is more compressible than ideal; values above one show that finite molecular volume dominates. Plotting Z against pressure gives a compact summary of a real gas's non-ideality.

Examples in the real world

Nitrogen dips to Z ≈ 0.97 near 100 atm before rising above 1 at higher pressures; hydrogen exceeds 1 from the outset.