# Boyle’s law

Boyle’s law (sometimes referred to as the Boyle–Mariotte law, or Mariotte’s law) is an experimental gas law which describes how the pressure of a gas tends to decrease as the volume of a gas increases.

The absolute pressure exerted by a given mass of an ideal gas is inversely proportional to the volume it occupies if the temperature and amount of gas remain unchanged within a closed system

### Calculator of Boyle’s law

 I want to calculate Final Volume(Vf) Initial Pressure(Pi) Initial Volume(Vi) Final Pressure(Pf) Initial Pressure(Pi) kPa Initial Volume(Vi) L Final Pressure(Pf) kPa Final Volume(Vf) L

### Equation of Boyle’s law:

Gas Equation: PiVi = PfVf

where,

• Pi = Initial Pressure,
• Vi = Initial Volume,
• Pf = Final Pressure,
• Vf = Final Volume.

### Boyle’s Law Example:

Case 1: A certain amount of gas contains a volume of 4 L at 100 kPa pressure. Find the pressure of the gas if it occupies in 15 L container. Pi = 100 kPa, Vi = 4 L, Vf = 15 L

Step 1:

Substitute the values in the below final pressure equation: Final Pressure(Pf) = PiVi / Vf = (100 x 4) / 15 = 400 / 15 Final Pressure(Pf) = 26.67 kPa This example will guide you to calculate the final pressure manually.

Case 2: Find the final volume of gas, from 8 L of gas at 150 kPa until the pressure becomes 125 kPa. Pi = 150 kPa, Vi = 8 L, Pf = 125 kPa

Step 1:

Substitute the values in the below volume equation: Final Volume(Vf) = PiVi / Pf = (150 x 8) / 125 = 1200 / 125 Final Volume(Vf) = 9.6 L This example will guide you to calculate the volume manually. 