When under a pressure of 9.5 atm, a piston has a volume of 1.7 liters. It the piston is compressed to a volume of 1.1 liters, what will the new pressure be?

Answer 1

Boyle Gas Law states the "volume of a given amount of gas help at constant temperature varies inversely with the applied pressure when the temperature and mass are constant"¹. This means that:

V = 1/P

This means that there is a constant between the products of the volume and pressure of a gas. This constant is the same for all pressures and volumes of the gas. Therefore,

P1V1 = P2V2

where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.

Now that we have the concept down, let's substitute in the values and solve for V2:

V2 = P1V1/P2 = (9.5 atm * 1.7 Liters)/1.1 Liters = 14.7 Liters