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
Verified Correct Answer: D.
Physical Principles & Numerical Solution
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.
Source: Myschool Past Questions Archive (Record #330)