E - Ideal Gas

Question 1

A gas initially occupying a volume of 0.25 m3 at a pressure of 100000 Pa is compressed until its pressure is 5 times greater. Calculate the new volume.

Answer 1

p1V1 = p2V2 100000 x 0.25 = 500000 x V2 25000 = 500000 x V2 25000/500000 = V2 0.05 m3 = V2

Question 2

A gas initially occupying a volume of 4 m3 at a pressure of 100000 Pa is forced into a container that has a volume of 2 litres. Calculate the pressure of the gas in the container.

Answer 2

Convert the 2 L to m3 2 L = 0.002 m3 p1V1 = p2V2 100000 x 4 = p2 x 0.002 400000 = p2 x 0.002 400000/0.002 = p2 200000000 Pa = p2

Question 3

A gas initially occupying a volume of 0.2 m3 at a pressure of 150000 Pa is forced into a container that has a volume of 6 litres. Calculate the pressure of the gas in the container.

Answer 3

Convert the 6 L to m3 1 L = 0.006 m3 p1V1 = p2V2 150000 x 0.2 = p2 x 0.006 30000 = p2 x 0.006 30000 / 0.006 = p2 5000000 Pa = p2

Question 4

A gas initially occupying a volume of 0.4 m3 at a pressure of 60000 Pa is compressed until its pressure is 4 times greater. Calculate the new volume.

Answer 4

p1V1 = p2V2 60000 x 0.4 = 240000 x V2 24000 = 240000 x V2 24000/240000 = V2 0.1 m3 = V2

Question 5

State Boyles Law

Answer 5

As the volume of gas is halved the pressure doubles

Question 6

What will happen to the volume of a gas as the temperature doubles?

Answer 6

the volume of the gas will double i.e.