Boyle's Law Calculator

Formula

The formula for Boyle's law is:

\[ p₁ V₁ = p₂ V₂ \]

Where:

\( p₁ \) and \( p₂ \) are the initial and final pressures
\( V₁ \) and \( V₂ \) are the initial and final volumes

Boyle's Law Definition

Boyle's law states that the pressure and volume of an ideal gas are inversely proportional. This formula is derived from the ideal gas law equation \( pV = nRT \). Since the change in temperature and moles are constant in this reaction, that side of the equation can be canceled out. You can manipulate the equation to calculate any parameter, as long as you have three known variables.

Example Calculation

Let's assume the following values:

Initial Pressure (p₁) = 2 atm
Initial Volume (V₁) = 4 L
Final Pressure (p₂) = 1 atm
Final Volume (V₂) = 8 L

Using the formula to calculate the initial pressure:

\[ p₁ = \frac{p₂ \times V₂}{V₁} = \frac{1 \times 8}{4} = 2 \text{ atm} \]

The initial pressure is 2 atm.