If the pressure of a certain amount of gas is reduced to 1/4th of its initial pressure at a fixed temperature, then what would be its final volume?

The relationship between pressure and volume of a gas at a constant temperature is described by Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume. This can be expressed as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Given that the final pressure (P2) is 1/4th of the initial pressure (P1), we can substitute P2 = P1/4 into the equation:

P1V1 = (P1/4)V2

Solving for V2, we get:

V2 = 4V1

So, if the pressure of a gas is reduced to 1/4th of its initial pressure at a fixed temperature, its volume would increase to 4 times its initial volume.