Boyle's Law relates pressure and volume at a constant temperature. What is its fundamental expression?

Boyle's Law is a fundamental principle in gas behavior that establishes a relationship between pressure and volume at a constant temperature. The law states that for a given amount of gas at a constant temperature, the product of pressure and volume is constant. This means that if the volume of the gas decreases, the pressure increases (and vice versa), provided the temperature remains unchanged.

The expression PV = constant directly reflects this relationship. It shows that pressure (P) multiplied by volume (V) yields a constant value when temperature is held steady. This relationship supports the concept that pressure and volume are inversely related; as one goes up, the other must go down to maintain the constant.

In contrast, the other expressions do not accurately depict Boyle’s Law. The expression PV/T = constant is more representative of the Ideal Gas Law, which encompasses temperature in the relationship, while P/T = constant and T/V = constant do not correctly relate to the pressure-volume interaction under Boyle’s Law. Thus, PV = constant remains the correct expression representing the relationship defined by Boyle’s Law when temperature is held constant.