What occurs to the volume of a gas when the pressure increases, keeping temperature constant?

When the pressure of a gas increases while the temperature remains constant, the volume of the gas decreases. This relationship is described by Boyle's Law, which states that for a given mass of an ideal gas at constant temperature, the product of the pressure and volume is constant. Mathematically, this can be expressed as ( P_1V_1 = P_2V_2 ), where ( P ) represents pressure, and ( V ) represents volume.

As pressure increases, the gas molecules are forced closer together, resulting in a reduction in volume. The constant temperature indicates that the kinetic energy of the gas molecules does not change, which confirms that increased pressure leads to decreased volume when the system is constrained to obey Boyle's Law.

In summary, as pressure increases under constant temperature conditions, the volume must decrease to maintain this inverse relationship.