If temperature is constant, what is the relationship between pressure and volume of a gas?

Under constant temperature conditions, the relationship between pressure and volume of a gas is described by Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume. This means that as the volume of the gas increases, the pressure decreases, and conversely, if the volume decreases, the pressure increases.

This relationship can be represented mathematically as (PV = k), where (P) is pressure, (V) is volume, and (k) is a constant. Thus, if you double the volume, the pressure will be halved, illustrating an inverse relationship. This principle is critical in understanding gas behavior in various applications such as breathing, syringes, and gas storage.