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Engineering Physics

The p–V diagram

  • 3 things to know
  • Paper 3, section B

Overview

Reading work from the area under a curve, cyclic processes, and the direction of the loop.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What do the symbols in W = pΔV mean, and what does an anticlockwise loop indicate?

Process

What is a cyclic process, how is the work done in a single process found from a p–V diagram, and how is the net work per cycle found?

Process

If a cyclic process traces a clockwise loop on a p–V diagram, is net work done by the gas or on the gas?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    On a p–V diagram, which physical quantity is plotted on the vertical axis and which on the horizontal axis?

    Model answer

    Pressure is plotted on the vertical axis and volume on the horizontal axis.

  2. 2

    What does a p–V diagram represent?

    Model answer

    It represents thermodynamic processes by showing how pressure and volume of a system change.

  3. 3

    Why do different thermodynamic processes appear as different shapes on a p–V diagram?

    Model answer

    Because each process has a characteristic relationship between pressure and volume changes, producing distinct curves or lines that reflect how these quantities vary relative to each other.

  4. 4

    What does the shape of a curve on a p–V diagram indicate about a thermodynamic process?

    Model answer

    It indicates how pressure and volume change relative to each other during the process.

  5. 5

    How is the work done by a gas during expansion or compression related to a p–V diagram?

    Model answer

    The work done equals the area under the curve on the p–V diagram.

  6. 6

    Explain why the area under a p–V curve represents work done.

    Model answer

    Work done is the integral of pressure with respect to volume (W = ∫p dV), and this integral corresponds geometrically to the area between the curve and the volume axis.

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