Pressure & Volume (PV=Constant)

This lesson covers:

  1. The idea that pressure multiplied by volume is constant, at a fixed temperature
  2. The gas equations : pV=constantpV=\text{constant}, and  p1V1=p2V2p1V1=p2V2

When kept at a constant temperature, the pressure and volume of a gas are proportional.

inversely

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1

For a gas at a constant temperature, which statements are true?

(Select all that apply)

When volume decreases, pressure decreases

When volume increases, pressure decreases

When volume decreases, pressure increases

When volume increases, pressure increases

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Which is the correct formula for the relationship between pressure and volume, at constant temperature?

volumepressure = constant
pressurevolume = constant
pressure x volume = temperature
pressure x volume = constant

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For a gas at constant temperature, pressure x volume always equals the same constant. Therefore:


p1V1=p2V2p1V1=p2V2


Where:

p1 is the initial pressure

V1 is the initial volume

p2 is the pressure after a change occurs

V2 is the volume after a change occurs

Diagram showing a gas occupying a volume of 0.5 cubic meters at a pressure of 150 pascals and being compressed to 0.2 cubic meters with a question mark indicating the unknown pressure.

A gas occupies a volume of 0.5 m3 at a pressure of 150 Pa.

Calculate the pressure exerted by the gas if the volume is compressed to 0.2 m3?

(Assume constant temperature)

375

Pa

Pa

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A gas occupies a volume of 0.3 m3 at a pressure of 50 Pa.

The pressure increased to 150 Pa, what is the new volume?

(Assume constant temperature)

0.1

m3

m3

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A gas initially occupied a volume of 10 L at an unknown pressure.

The gas was then compressed to 2 L, and measured as having a pressure of 20 kPa.


Calculate the original pressure before the gas was compressed.

(Assume constant temperature)

4

kPa

kPa

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