# Boyle's/Mariotte's Law Tutorial

## Boyle's/Mariotte's Law Tutorial

##### Boyle's/Mariotte's Law:

Boyle's law states that the volume of a gas increases when the pressure decreases at a constant temperature.

#### Boyle's/Mariotte's Law Formula :

Gas Equation: PiVi = PfVf Initial Pressure(Pi) = PfVf / Vi Initial Volume(Vi) = PfVf / Pi Final Pressure(Pf) = PiVi / Vf Final Volume(Vf) = PiVi / Pf where, Pi = Initial Pressure, Vi = Initial Volume, Pf = Final Pressure, Vf = Final Volume
##### Boyle's/Mariotte'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.

This tutorial will help you dynamically to find the Boyle's/Mariotte's Law problems.