According to Boyle's Law, what is the relationship between pressure and volume in a gas?

Boyle's Law states that for a given mass of an ideal gas at constant temperature, the pressure of the gas is inversely proportional to its volume. This means that as the volume of a gas increases, its pressure decreases, and vice versa, provided the temperature remains constant. Mathematically, Boyle's Law can be expressed as PV = k, where P is the pressure, V is the volume, and k is a constant.

Understanding this concept is crucial in many applications involving gases, such as in various engineering and scientific fields, where controlling pressure and volume is necessary for the desired outcomes. This inverse relationship helps predict how gases will behave under different conditions, such as changes in container size or application of external forces.

The other options presented do not correctly align with the principles outlined by Boyle's Law. For instance, direct proportionality or simultaneous increase and decrease do not reflect the fundamental inverse nature of pressure and volume. Additionally, claiming they remain constant under all conditions disregards the dynamic behavior of gases dependent on their volume and pressure changes.