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The p–V diagram: AQA A‑Level Physics questions

AQA A-Level Physics past-paper questions on 3.11.2.3 The p–V diagram, 2008–2025, with mark schemes and examiner’s reports where available.

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4,856 questions

  1. Q03.3

    June 2025 · Paper 3 Engineering physics

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  2. Q04.1

    November 2021 · Paper 3 Engineering physics

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  3. Q04.3

    November 2020 · Paper 3 Engineering physics

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  4. Q03.2

    June 2018 · Paper 3 Engineering physics

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  5. Q03.4

    June 2018 · Paper 3 Engineering physics

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  6. Q03.3

    June 2017 · Paper 3 Engineering physics

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  7. Q03.2

    Specimen · Paper 3 Engineering physics

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  8. Q03.3

    Specimen · Paper 3 Engineering physics

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  9. Q3(b)(ii)

    June 2015 · PHYA5 Applied physics (old spec)

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  10. Q3(b)(iii)

    June 2015 · PHYA5 Applied physics (old spec)

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  11. Q3(b)(iv)

    June 2015 · PHYA5 Applied physics (old spec)

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  12. Q1(c)

    June 2012 · PHYA5 Applied physics (old spec)

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  13. Q3(b)(i)

    June 2011 · PHYA5 Applied physics (old spec)

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  14. Q3(c)

    June 2011 · PHYA5 Applied physics (old spec)

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  15. Q4(a)

    June 2010 · PHYA5 Applied physics (old spec)

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  16. Q4(b)

    June 2010 · PHYA5 Applied physics (old spec)

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  17. Q5(a)

    June 2008 · PHA7W (2008 spec)

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All 17 questions on The p–V diagram, as a list
  1. June 2025, Paper 3 Engineering physics, Q03.3 (1 mark): Show that the work done in process C → A is about 100 J. [1 mark]
  2. November 2021, Paper 3 Engineering physics, Q04.1 (5 marks): Figure 6 shows the variation of pressure p with volume V as the gas expands on the right-hand side of the piston when the correct nail is used. Figure 6 The com
  3. November 2020, Paper 3 Engineering physics, Q04.3 (2 marks): Sketch on Figure 6 the variation of pressure with volume when the plunger is pushed in fully very quickly and then left for several seconds. Assume no leakage p
  4. June 2018, Paper 3 Engineering physics, Q03.2 (5 marks): The cycle in Figure 3 may be modified by allowing the air to continue to expand adiabatically from state 4 until it is at atmospheric pressure at state 5. Figur
  5. June 2018, Paper 3 Engineering physics, Q03.4 (2 marks): For the air in process 5 → 1 in Figure 4, ΔU = –374 J Calculate the energy that must be removed by cooling for process 5 → 1. [2 marks] energy removed by coolin
  6. June 2017, Paper 3 Engineering physics, Q03.3 (3 marks): When the lid is closed slowly, the compression can be assumed to be isothermal. The gas can be compressed either isothermally or adiabatically from the same ini
  7. Specimen, Paper 3 Engineering physics, Q03.2 (6 marks): A single-cylinder air motor running on compressed air has the theoretical indicator diagram shown in Figure 4. • From B to C the high-pressure air pushes a pist
  8. Specimen, Paper 3 Engineering physics, Q03.3 (4 marks): A single-cylinder air motor running on compressed air has the theoretical indicator diagram shown in Figure 4. • From B to C the high-pressure air pushes a pist
  9. June 2015, PHYA5 Applied physics (old spec), Q3(b)(ii) (3 marks): Determine the net work done on the air during the cycle shown in Figure 6. [3 marks] work done J Figure 5 Figure 6 0 0 1.0 2.0 3.0 4.0 5.0 A 2.0 4.0 6.0 8.0 1.0
  10. June 2015, PHYA5 Applied physics (old spec), Q3(b)(iii) (1 mark): Determine the power input to the compressor when it runs at 420 revolutions per minute. [1 mark] power W
  11. June 2015, PHYA5 Applied physics (old spec), Q3(b)(iv) (6 marks): Explain how the performance of the air compressor changes as the pressure in the tank increases. Calculations are not expected. In your answer you should consid
  12. June 2012, PHYA5 Applied physics (old spec), Q1(c) (3 marks): Explain, giving your reasons, whether the volume of air in the barrel at the point when the cork leaves the gun would be less than, equal to, or greater than 1.
  13. June 2011, PHYA5 Applied physics (old spec), Q3(b)(i) (1 mark): Calculate the net work done during the cycle. answer = J (1 mark)
  14. June 2011, PHYA5 Applied physics (old spec), Q3(c) (2 marks): On the axes below, sketch the cycle on a graph of volume V against temperature T. Label the points A, B, C and D. (2 marks) 1.0 0.5 0 0 300 500 T/K V/10 –3 m3
  15. June 2010, PHYA5 Applied physics (old spec), Q4(a) (3 marks): Use the graph to estimate the work done by the air as it expands from a pressure of 3.6 × 105Pa to atmospheric pressure. answer = J (3 marks)
  16. June 2010, PHYA5 Applied physics (old spec), Q4(b) (3 marks): With reference to the graph on page 6, state and explain whether the rocket would have reached the same height if the air had expanded isothermally. (3 marks)
  17. June 2008, PHA7W (2008 spec), Q5(a) (4 marks): 5 (a) (i) Use Figure 6 to determine the indicated work done by the engine in one cycle. 5 (a) (ii) It took 6.0 seconds for the engine to complete one cycle. Cal

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