What happens to the pressure of a confined gas if its volume is doubled without adding more gas?

When the volume of a confined gas is doubled while keeping the amount of gas constant, the pressure of that gas will indeed be reduced to one half of its original value. This behavior is described by Boyle's Law, which states that for a given mass of an ideal gas at a constant temperature, the pressure and volume are inversely proportional.

Mathematically, Boyle's Law can be expressed as ( P_1 V_1 = P_2 V_2 ), where ( P ) represents pressure and ( V ) represents volume. If the volume is increased (doubled in this case), then to maintain the equality, the pressure must decrease. Specifically, if the original volume is ( V_1 ) and the original pressure is ( P_1 ), when the volume is doubled to ( V_2 = 2V_1 ), the new pressure ( P_2 ) can be found by rearranging the equation to ( P_2 = \frac{P_1 V_1}{V_2} ). Substituting for ( V_2 ) gives ( P_2 = \frac{P_1 V_1}{2V_1} = \frac{