What law states that the volume of a gas varies inversely to the pressure if temperature remains constant?

Boyle's Law is the principle that describes the relationship between the pressure and volume of a gas at constant temperature. According to this law, the pressure of a gas decreases as its volume increases, and conversely, the pressure increases as the volume decreases, assuming the temperature remains unchanged. This relationship can be mathematically expressed as ( PV = k ), where ( P ) is pressure, ( V ) is volume, and ( k ) is a constant for a given amount of gas.

This law is fundamental in understanding how gases behave under varying pressure conditions, and is widely applicable in fields such as HVAC, where the behavior of gases is crucial to system design and efficiency. By recognizing that the volume of a gas varies inversely to its pressure, practitioners can better predict and manage the behavior of gases in various applications.

The other laws mentioned have different focuses: Charles' Law deals with the direct relationship between volume and temperature, Gay-Lussac's Law involves the relationship between pressure and temperature, and Dalton's Law pertains to the partial pressures of mixed gases. These distinctions clarify why Boyle's Law is the correct choice for this specific question concerning the inverse relationship between volume and pressure at constant temperature.