Boyle's Law Calculator

Click on Calculate Volume or Calculate Pressure you wish to calculate.

P . V = constant
P1 . V1 = P2 . V2
P1= Pressure 1
V1= Volume 1
P2= Pressure 2
V2= Volume 2

or

Enter value and click on calculate. Result will be displayed.

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What is Boyle's Law?

Boyle’s Law describes the relationship between the pressure and volume of a gas when the temperature and amount of gas are kept constant. It states that the pressure of a gas is inversely proportional to its volume. In other words, as the volume of a gas decreases, the pressure increases, and vice versa, as long as the temperature remains constant.

The equation is:

Where:

  • P₁ = Initial pressure of the gas
  • V₁ = Initial volume of the gas
  • P₂ = Final pressure of the gas
  • V₂ = Final volume of the gas

Why it's important:

Boyle’s Law is fundamental to understanding how gases behave when subjected to compression or expansion. It is widely used in various fields like engineering, physics, and chemistry, especially in processes where gas is confined and changes in pressure or volume occur, such as in pistons, breathing, and scuba diving.

It explains why, for example:

  • Scuba diving: When divers go deeper into the ocean, the pressure increases and the volume of the air in their tanks decreases.
  • Pistons in engines: As a piston moves in a cylinder, the volume of the gas inside changes, affecting the pressure.

How it works:

  • Decreasing the volume: If the volume of a gas decreases while keeping the temperature constant, the gas particles will have less space to move around and collide more frequently with the walls of the container, increasing the pressure.
  • Increasing the volume: If the volume increases, the gas particles have more space to spread out and collide less frequently with the container walls, leading to a decrease in pressure.

When it's used:

Boyle’s Law is used when:

  • The temperature is constant: The law applies when temperature does not change. This typically happens in situations where the gas is insulated or the process is fast enough that heat exchange doesn't occur significantly.
  • Pressure and volume change: It’s applicable in situations where a gas undergoes compression or expansion, like in pumps, engines, or even human lungs.

Boyle's Law Calculator:

A Boyle’s Law Calculator helps you quickly determine the pressure or volume of a gas when the other changes, assuming temperature remains constant.

  • Input: You’d input the initial pressure and volume, and either the final pressure or final volume.
  • Output: The calculator will give you the missing value, whether it’s the final pressure or volume.

For example:

  • If you know the initial volume and pressure of a gas, and you change the volume (e.g., compress a gas), the calculator can tell you what the final pressure will be.

This is used in:

  • Pistons or engines: To calculate how pressure will change when the volume of gas in a piston changes.
  • Breathing: In understanding how lung volume changes during inhalation and exhalation, affecting air pressure.
  • Scuba diving: For estimating changes in pressure as a diver descends or ascends.

In short, Boyle’s Law Calculator helps you quickly determine how pressure and volume are related in a gas at constant temperature, which is essential for various practical applications.