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

Physics
JAMB 1999

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
##### Explanation

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.

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