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Boyle's Law Pressure & Volume Calculator

Boyle's Law states that at constant temperature, the absolute pressure of an ideal gas is inversely proportional to its volume.

Choose which variable to calculate.

Initial gas pressure.

Initial gas volume.

Final gas pressure.

Final gas volume.

Calculated Result
2.000

Solved Parameter: P2

Solved Value (P2)

2.000

Initial Pressure (P₁)

1.00

Final Pressure (P₂)

2.00

Volumetric Ratio

2.00×

Calculation Breakdown

  1. Boyle's Isothermal Gas LawP₁V₁ = P₂V₂ at constant temperatureP1V1=P2V2=constantP_1 V_1 = P_2 V_2 = \text{constant}
  2. Algebraic Solution for P2P2 = 2.0000P2=P1V1V2P_2 = \frac{P_1 V_1}{V_2}
  3. Volume Compression / Expansion Ratio2.00× volumetric ratio

Isothermal Pressure vs Volume Curve (P1=1, V1=10)

Interactive visualization based on your current inputs

P (atm)
0.01.32.53.85.02 L4 L5 L10 L20 LVolume (L)Pressure (atm)

What Is the Boyle's Law Pressure & Volume Calculator?

Boyle's Law was published by Robert Boyle in 1662 and describes isothermal gas behavior.

How Does the Boyle's Law Pressure & Volume Calculator Work?

Halving container volume doubles the molecular collision frequency against container walls, doubling pressure.

Boyle's Law Pressure & Volume Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

P_1 V_1 = P_2 V_2 \implies P_2 = \frac{P_1 V_1}{V_2}

Gas pressure and volume are inversely proportional at constant temperature.

How to Use the Boyle's Law Pressure & Volume Calculator

  1. Select the variable to solve.
  2. Input the other three values.

Step-by-Step Example Calculation

Piston Isothermal Compression

Input Values:

solveFor:P2
p1:1.0
v1:10.0
v2:5.0
Worked Steps: Halving volume from 10 L to 5 L at 1 atm doubles pressure to 2.0 atm.

Understanding Your Result

Solved Value: Resulting pressure or volume.

Compression Ratio: Volumetric scale factor.

Factors That Affect the Result

  • Temperature constancy and ideal gas behavior.

When Should You Use This Calculator?

  • Piston compressors, scuba diving gas planning, and syringe mechanics.

Assumptions & Limitations

  • Assumes constant temperature and no gas leakage.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Exact ideal gas closed-form solution.

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