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Thermal Physics

Boyle's law, Charles's law and the pressure law

  • 3 things to know
  • Unit A2 1

Overview

Recall questions on the statement of each of the three gas laws and an experiment to demonstrate each, the shapes of the graphs and what to plot for a straight line through the origin, why pressure changes must be made slowly, the combined equation pV/T = constant, worked calculations, and why temperatures must be in kelvin.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Describe an experiment to show that pV is constant for a fixed mass of gas at constant temperature.

Key term

Describe an experiment to show that p/T is constant for a fixed mass of gas at constant volume.

Key term

Why must temperatures in the gas laws always be in kelvin and never in degrees Celsius?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State Boyle's law.

    Model answer

    For a fixed mass of gas at constant temperature, the pressure is inversely proportional to the volume, so pV = constant.

  2. 2

    Describe an experiment to show that pV is constant for a fixed mass of gas at constant temperature.

    Model answer

    A column of dry air is trapped in a graduated glass tube by oil, and a foot pump raises the pressure on the oil, which is read on a Bourdon gauge. The length of the trapped column gives the volume, and readings are taken slowly so that the air stays at room temperature. The product of pressure and volume is the same for every reading.

  3. 3

    What shape is the graph of pressure against volume for a fixed mass of gas at constant temperature?

    Model answer

    It is a smooth curve of the shape of a rectangular hyperbola, falling steeply at small volumes and flattening at large volumes.

  4. 4

    What quantities should be plotted to give a straight line through the origin for a gas obeying Boyle's law?

    Model answer

    Pressure should be plotted on the y-axis against 1/V on the x-axis, which gives a straight line through the origin of gradient equal to the constant pV.

  5. 5

    Why must the pressure be changed slowly when testing Boyle's law?

    Model answer

    Compressing a gas quickly warms it, so slow changes allow heat to escape and keep the gas at the constant temperature the law requires.

  6. 6

    State the law relating the volume and the temperature of a fixed mass of gas at constant pressure.

    Model answer

    For a fixed mass of gas at constant pressure the volume is directly proportional to the absolute temperature, so V/T = constant. This is Charles's law.

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