# 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

### Equation of Boyle's law:

**Gas Equation: P _{i}V_{i} = P_{f}V_{f}**

**where**,

- P
_{i}= Initial Pressure, - V
_{i}= Initial Volume, - P
_{f}= Final Pressure, - V
_{f}= 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. P_{i} = 100 kPa, V_{i} = 4 L, V_{f} = 15 L

Step 1:

Substitute the values in the below final pressure equation: Final Pressure(P_{f}) = P_{i}V_{i} / V_{f} = (100 x 4) / 15 = 400 / 15 Final Pressure(P_{f}) = 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. P_{i} = 150 kPa, V_{i} = 8 L, P_{f} = 125 kPa

Step 1:

Substitute the values in the below volume equation: Final Volume(V_{f}) = P_{i}V_{i} / P_{f} = (150 x 8) / 125 = 1200 / 125 Final Volume(V_{f}) = 9.6 L This example will guide you to calculate the volume manually.