Boyle's Law (Mariotte's Law)

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Boyle's law (Mariotte's Law) states that in a perfect gas where mass and temperature is kept constant - the volume of the gas will vary inversely with the absolute pressure.

Boyle's law can be expressed as

PV = constant            (1)

or

P₁V₁ = P₂V₂             (1b)

where

P = absolute pressure (Pa, psi...)

V = volume (m³, ft³...)

Example - Boyle's Law

A gas with volume 1 m³ at 2 MPa is compressed to a final volume of 0.5 m³. If the temperature is kept constant the final pressure can be calculated as:

  P₂ = P₁V₁ / V₂

    = (2 MPa) (1 m³) / (0.5 m³)

    = 4 MPa

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