Which law describes the relationship between the pressure and volume of a gas at constant temperature?

The relationship between the pressure and volume of a gas at constant temperature is described by Boyle's Law. This law states that for a given amount of gas, the pressure of the gas is inversely proportional to its volume when the temperature is held constant. In other words, as the volume of a gas increases, the pressure decreases, and vice versa, as long as the temperature does not change.

This relationship can be mathematically expressed as ( P \times V = k ), where ( P ) represents pressure, ( V ) denotes volume, and ( k ) is a constant value for a specific gas at a constant temperature. Additionally, Boyle's Law is foundational in understanding how gases behave under changing conditions, which is critical in various scientific and real-world applications.

Other laws related to gases, such as Charles's Law, focus on the relationship between volume and temperature, Avogadro's Law deals with the relationship between the number of gas moles and volume, and Dalton's Law addresses the behavior of mixtures of gases. However, none of these laws specifically describe the pressure-volume relationship that holds at a constant temperature, making Boyle's Law the appropriate choice in this context.