Question

The volume of a gas in a container varies inversely as the pressure on the gas. If a gas has a volume of 216 cubic inches under a pressure of 5 pounds per square inch, what will be its volume if the pressure is increased to 7 pounds per square inch? Round your answer to the nearest integer if necessary.

Answer 1

V = gas volume

P = Pressure

The volume of a gas in a container varies inversely as the pressure on the gas.

V =k/p

Use the known values v=216, p=5 to find k

216 =k/5

216 x 5 = k

1,080 =k

Now we have:

V= 1,080/p

The volume if the pressure is increased by 7 pounds: (5+7=12)

V = 1,080/12

V= 90 cubic inches