Which law combines Boyle's Law and Charles' Law to relate initial and final states of a gas?

The Combined Gas Law effectively merges Boyle's Law and Charles' Law to relate the initial and final states of a gas, allowing for the analysis of changes in pressure, volume, and temperature under varying conditions. Specifically, Boyle's Law states that for a given mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. Charles' Law, on the other hand, indicates that the volume of a gas is directly proportional to its absolute temperature when the pressure is held constant.

By integrating these two principles, the Combined Gas Law is formulated as ( \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} ), where ( P ) represents pressure, ( V ) denotes volume, and ( T ) signifies temperature. This formulation allows the comparison of different states of a gas while accounting for fluctuations in temperature, pressure, and volume, which is essential when working with gaseous systems in chemistry and physics.

Other laws, such as Dalton's Law, focus on different principles, such as the behavior of gas mixtures, while the Ideal Gas Law provides a broader equation of state but does not specifically combine Boyle's and Charles