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A gas at a volume of V0 in a container at pressure P0 is ...

A gas at a volume of V0 in a container at pressure P0 is compressed to one-fifth of its volume. What will be its pressure if the magnitude of its original temperature T is constant?

A.

P0/5

B.

4P0/5

C.

P0

D.

5P0

Correct answer is D

At constant T, P1 V1 = P2 V2.

Let P1 = P0 and V1 = V0, then solve accordingly.

As pressure is varies inversely as volume according to:

Boyle's law, also referred to as the Boyle–Mariotte law, or Mariotte's law, is an experimental gas law that describes how the pressure of a gas tends to decrease as the volume of the container increases.

As volume is reduced by one-fifth; pressure will increase by five times.