What happens to the volume of a gas if temperature remains constant while pressure increases?

When the temperature of a gas remains constant and pressure increases, the volume of the gas will decrease. This relationship is described by Boyle's Law, which states that for a given amount of gas at a constant temperature, the product of pressure and volume is constant. Mathematically, this can be expressed as ( P_1 V_1 = P_2 V_2 ), where ( P ) represents pressure and ( V ) stands for volume.

As the pressure increases, if you maintain a constant temperature, the volume must decrease to satisfy this equation. This is because the gas molecules are compressed into a smaller space when the pressure is applied, thus reducing the volume. Therefore, an increase in pressure at constant temperature leads to a corresponding decrease in volume, which aligns with the principles defined by Boyle's Law.