To determine the pressure required to reduce the volume of a gas by 1/3 while keeping the temperature constant, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is held constant.
Boyle's Law equation: P1 * V1 = P2 * V2
Where: P1 is the initial pressure V1 is the initial volume P2 is the final pressure V2 is the final volume
Let's assume the initial volume (V1) is 1 unit (arbitrary value). Therefore, the final volume (V2) will be (1/3) units, as the volume is reduced by 1/3.
Substituting the values into the equation: P1 * 1 = P2 * (1/3)
Rearranging the equation to solve for P2: P2 = P1 * (1/3)
Therefore, the final pressure (P2) required to reduce the volume by 1/3, while keeping the temperature constant, is one-third of the initial pressure (P1).