How does Boyle’s law describe the relationship between gas pressure and volume?

Boyle’s law describes the relationship between the pressure and volume of a gas when the temperature is held constant.12

Formulated by Robert Boyle in 1662, the law states that the pressure of a given quantity of gas is inversely proportional to its volume. In mathematical terms, this is expressed as:13

$$pV=k$$

Where:
* p is the pressure
* v is the volume
* k is a constant

This means that if the pressure on a gas is increased, its volume will decrease proportionally, and conversely, if the pressure is reduced, the volume will increase. While this relationship perfectly describes an ideal gas, real gases follow this law closely at low pressures, though they may show slight deviations as pressure increases.312