Free Compressibility Factor Calculator

Calculate the compressibility factor (Z) of a real gas, which measures how much the gas deviates from ideal gas behavior.

atm
L/mol
K

Compressibility Factor (Z)

0.8124

Compressibility Factor (Z) vs Pressure (P)

Compressibility Factor

Formula

Z = PV_m / (RT)

Where:

  • Z = compressibility factor (dimensionless)
  • P = pressure (atm)
  • V_m = molar volume (L/mol)
  • R = 0.08206 L·atm/(mol·K)
  • T = temperature (K)
  • For an ideal gas, Z = 1. Z < 1 means attractive forces dominate; Z > 1 means repulsive forces dominate.

    Example Calculation

    A gas at 100 atm, 300 K, has a molar volume of 0.2 L/mol.

    1. 01Z = PV_m / (RT)
    2. 02Z = (100 × 0.2) / (0.08206 × 300)
    3. 03Z = 20 / 24.618
    4. 04Z = 0.8124

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