Pressure and volume have which type of relationship according to Boyle's Law?

Boyle's Law describes the relationship between the pressure and volume of a gas at a constant temperature. According to this law, when the volume of a gas increases, the pressure decreases, as long as the temperature remains unchanged. This relationship is defined as inverse because if one variable increases, the other decreases in a predictable way. Mathematically, this can be represented as ( P \times V = k ), where ( P ) is the pressure, ( V ) is the volume, and ( k ) is a constant for a given amount of gas at a constant temperature.

This inverse relationship means that if you were to plot the pressure of the gas against its volume, the resulting graph would show a hyperbola, indicating that they move in opposite directions. This fundamental concept is crucial in understanding how gases behave under changes in volume and pressure, particularly in various scientific and industrial applications.