Answer:
Yes. The volume would be 1/4 of the initial volume.
Explanation:
At constant temperature, the pressure of a gas is inversely proportional to the volume of the gas. Hence;
P1V1 = P2V2
where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.
If the pressure of a gas is quadrupled;
P2 = 4P1, the equation becomes
P1V1 = 4P1 x V2
Making V2 the subject:
V2 = P1V1/4P1
V2 = V1/4
This means that the volume would change by being reduced to 1/4 of the initial volume.
