What does Boyle's Law state?

Boyle's Law states that for a fixed amount of an ideal gas at constant temperature, the pressure and volume are inversely proportional. Mathematically, P₁V₁ = P₂V₂, where P is pressure and V is volume.

How do I use this calculator?

Enter the initial pressure (kPa), initial volume (L), and final pressure (kPa). The calculator will compute the final volume using the formula V₂ = (P₁V₁) / P₂. Ensure all pressures are in kPa and volume in liters.

What are the units for pressure and volume?

Pressure must be entered in kilopascals (kPa) and volume in liters (L). The calculator uses these units consistently, so the final volume will be in liters.

Physics

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Boyle's Law Calculator.

Solve an isothermal ideal-gas final volume from P₁V₁=P₂V₂.

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Set your values

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02 / ANSWER

Initial pressure

Initial volume

Final pressure

finalVolume

0.5L

constant

100kPa·L

Results update automatically as you type.

FAQs

What does the boyle's law calculator assume?

Solve an isothermal ideal-gas final volume from P₁V₁=P₂V₂. The result is an educational calculation using the stated idealized model; verify engineering or experimental decisions against applicable standards.

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Cite this calculator

Canonical URL: https://mathify.one/en/physics/boyles-law

Cite as: Mathify. (n.d.). Boyle's Law Calculator. https://mathify.one/en/physics/boyles-law

Use Cases

Predict gas volume changes in a piston

When you compress or expand a gas in a piston at constant temperature, use this calculator to find the new volume after a pressure change.

Example: If a gas at 100 kPa and 2 L is compressed to 200 kPa, the final volume is 1 L.

Check scuba tank capacity

Estimate the volume of air a scuba tank would deliver at a different pressure, assuming constant temperature.

Example: A 10 L tank at 200 kPa delivers air at 100 kPa, resulting in 20 L of air.

Frequently Asked Questions

What does Boyle's Law state?: Boyle's Law states that for a fixed amount of an ideal gas at constant temperature, the pressure and volume are inversely proportional. Mathematically, P₁V₁ = P₂V₂, where P is pressure and V is volume.
How do I use this calculator?: Enter the initial pressure (kPa), initial volume (L), and final pressure (kPa). The calculator will compute the final volume using the formula V₂ = (P₁V₁) / P₂. Ensure all pressures are in kPa and volume in liters.
What are the units for pressure and volume?: Pressure must be entered in kilopascals (kPa) and volume in liters (L). The calculator uses these units consistently, so the final volume will be in liters.

Tips & Common Mistakes

Tips

Ensure the temperature remains constant for Boyle's Law to apply accurately.
Double-check that all pressure values are in kPa and volumes in L before calculating.
If you have the final volume and need the final pressure, rearrange the formula to P₂ = P₁V₁ / V₂.
Use this calculator for ideal gases; real gases may deviate at high pressures or low temperatures.

Common Mistakes to Avoid

Forgetting to convert pressure units to kPa or volume to L before entering values.
Using the formula incorrectly by swapping initial and final values, leading to an inverted result.
Assuming Boyle's Law applies when temperature changes; it only holds for isothermal processes.

Last updated: August 13, 2026