The pressure exerted by a gas on the container in which it is held varies inversely with the volume of the container. A pressure of 50 pounds per square inch is exerted on a container of volume 4 cubic feet. What is the pressure on a container whose volume is 10 cubic feet?
A)The pressure is 200 pounds per square inch.
B)The pressure is 125 pounds per square inch.
C)The pressure is 500 pounds per square inch.
D)The pressure is 20 pounds per square inch.
E)The pressure is 40 pounds per square inch.

Question

Quizplus · Accepted Answer

Using the formula for inverse variation, we have:

P1 × V1 = P2 × V2

where P1 and V1 are the pressure and volume of the first container, and P2 and V2 are the pressure and volume of the second container.

Substituting the given values, we have:

50 × 4 = P2 × 10

Simplifying, we get:

200 = 10P2

Dividing both sides by 10, we get:

P2 = 20

Therefore, the pressure on a container whose volume is 10 cubic feet is 20 pounds per square inch.

The Pressure Exerted by a Gas on the Container in Which