A gas cylinder with a movable piston has a pressure of 100 torr and a volume of 1.0 L. Determine the pressure of the gas if it is compressed to a volume of 0.75 L at constant temperature.
A) 25 torr
B) 55 torr
C) 75 torr
D) 133.33 torr
E) 150 torr

Question

A gas cylinder with a movable  piston has a pressure of 100 torr and a volume of 1.0 L. Determine the pressure of the gas if it is compressed to a volume of 0.75 L at constant temperature.
A) 25 torr
B) 55 torr
C) 75 torr
D) 133.33 torr
E) 150 torr

Quizplus · Accepted Answer

According to Boyle's Law, at constant temperature, the pressure and volume of a gas are inversely proportional. This means that as the volume of the gas decreases, the pressure increases.

Using the equation P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume:

P1V1 = P2V2

(100 torr)(1.0 L) = P2(0.75 L)

P2 = (100 torr)(1.0 L)/(0.75 L) = 133.33 torr

Therefore, the pressure of the gas when compressed to a volume of 0.75 L is 133.33 torr. The answer is D.

A Gas Cylinder with a Movable Piston Has a Pressure