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Boyle’s Law Calculator

Calculate Boyle's Law Parameters
Select Answer Mode
P1 [?]
V1 [?]
P2 [?]
V2 [?]

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Change the answer mode for this tool by selecting P1 gas pressure, V1 gas volume, P2 gas pressure or V2 gas volume as the parameter to calculate instead



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User Guide

This tool will calculate any parameter from the equation defined by Boyle’s law P₁V₁=P₂V₂, which includes  the P1 gas pressure, V1 gas volume, P2 gas pressure and V2 gas volume.

Boyle’s law explains that for an ideal gas, the absolute pressure is inversely proportional to its volume, if the amount of gas and the temperature of the gas remain constant.

Formulas

Boyle’s Law is explained with math in the following ways.

The pressure of an ideal gas is inversely proportional to its volume:

P ∝ 1 / V

The pressure multiplied with the volume of the gas in a given state, equals a constant value:

P · V = Constant

The multiplying together of the pressure and volume of an ideal gas in one state, equals the multiplying of the pressure and volume of an ideal gas in another state, as long as the temperature and quantity of gas does not change between the two states.

P1 · V1 = P2 · V2

The formulas used by this Boyle’s law calculator to determine each individual parameter are:

P1 = P2 · V2 / V1

V1 = P2 · V2 / P1

P2 = P1 · V1 / V2

V2 = P1 · V1 / P2

Symbols

  • P1 = Pressure of the first gas state
  • V1 = Volume of the first gas state
  • P2 = Pressure of the second gas state
  • V2 = Volume of the second gas state

P1

This is the absolute pressure of the first gas state.

V1

This is the total volume occupied by the first gas state.

P2

This is the absolute pressure of the second gas state.

V2

This is the total volume occupied by the second gas state.

Absolute pressure measurement products