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Ideal gases: OCR A‑Level Physics A questions

Every OCR A-Level Physics A exam question on 5.1.4 Ideal gases, 2016–2025, with its mark scheme and examiner’s report.

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1,877 questions

  1. Q19(d)

    June 2025 · Paper 1

    The whole paper ↗
    June 2025 Paper 1, question 19(d): After one hour the number of moles of gas above the remaining liquid oxygen is 710. Calculate the pressure of the gas. pressure = kPa [3]
  2. Q20(a)

    June 2025 · Paper 1

    The whole paper ↗
    June 2025 Paper 1, question 20(a): Complete the missing value in the table. [1] 1200 1000 800 Specific heat capacity 600 / Jkg–1 K–1 400 200 0 0 10 20 30 Number of particles per unit mass / 1024
  3. Q20(a)(i)

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 20(a)(i): Define the internal energy of an ideal gas. [1]
  4. Q20(a)(ii)

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 20(a)(ii): Use the formulae below to show that the average kinetic energy of a particle of an ideal gas is directly proportional to the absolute temperature of the gas. pV
  5. Q20(b)(i)

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 20(b)(i): [2]
  6. Q20(b)(ii)

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 20(b)(ii): Calculate the molar mass of the gas assuming an absolute temperature of 290 K and r.m.s. speed of 430 m s–1. molar mass = kg mol–1 [3]
  7. Q20(c)(ii)

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 20(c)(ii): Calculate the pressure of the gas within the filament lamp during manufacture. pressure = kPa [2]
  8. Q1(b)(i)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 1(b)(i): The kinetic model of an ideal gas assumes that there are a large number of particles in rapid, random motion. State two further assumptions for the kinetic mode
  9. Q1(b)(ii)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 1(b)(ii): A standard flute is placed inside a sealed chamber. The chamber is filled with helium at a temperature of –10 °C. Calculate the lowest frequency that the flute
  10. Q10

    June 2023 · Paper 1

    The whole paper ↗
    June 2023 Paper 1, question 10: An experiment is carried out to estimate the value of absolute zero using the variation of gas pressure with temperature. The apparatus is shown below. thin gla
  11. Q20(a)

    June 2023 · Paper 1

    The whole paper ↗
    June 2023 Paper 1, question 20(a): A sealed container contains n moles of an ideal gas. The gas has pressure p, absolute temperature T and occupies volume V. The mass of one mole of the gas is M.
  12. Q20(b)(i)

    June 2023 · Paper 1

    The whole paper ↗
    June 2023 Paper 1, question 20(b)(i): Show that the density of air under the conditions described is about 1.2 kg m–3. [1]
  13. Q20(b)(iv)

    June 2023 · Paper 1

    The whole paper ↗
    June 2023 Paper 1, question 20(b)(iv): The pressure of the helium in the gasbag is maintained at a value only slightly greater than atmospheric pressure. Suggest why a larger pressure is not used. [2
  14. Q23(b)(i)

    June 2023 · Paper 1

    The whole paper ↗
    June 2023 Paper 1, question 23(b)(i): Show that the typical kinetic energy of a helium nucleus in the atmosphere is about 10–16 J. [2]
  15. Q23(b)(iv)

    June 2023 · Paper 1

    The whole paper ↗
    June 2023 Paper 1, question 23(b)(iv): Explain why the star has a solar wind that reaches a much greater distance from the star than found in (iii). [1]
  16. Q8

    June 2022 · Paper 1

    The whole paper ↗
    June 2022 Paper 1, question 8: Which statement(s) below are implied by the assumptions of the kinetic theory model of gases? 1 A gas is mostly empty space. 2 Gas particles spend more time bet
  17. Q9

    June 2022 · Paper 1

    The whole paper ↗
    June 2022 Paper 1, question 9: A container has 1.0 mole of gas at pressure 100 kPa. The root mean square (r.m.s.) speed of the gas particles is 500 m s–1. The mass of each gas particle is 4.7
  18. Q19(b)(i)

    June 2022 · Paper 1

    The whole paper ↗
    June 2022 Paper 1, question 19(b)(i): Show that the number of moles n, of nitrogen used per hour is about 600. [3]
  19. Q19(b)(ii)

    June 2022 · Paper 1

    The whole paper ↗
    June 2022 Paper 1, question 19(b)(ii): Calculate the mass of nitrogen gas used in one hour. molar mass of nitrogen = 0.028 kg mol–1 mass = kg [1]
  20. Q19(b)(iii)

    June 2022 · Paper 1

    The whole paper ↗
    June 2022 Paper 1, question 19(b)(iii): The volume of nitrogen being used cannot be changed. State how the rate of mass of nitrogen used can be reduced. [1]
All 45 questions on Ideal gases, as a list
  1. June 2025, Paper 1, Q19(d) (3 marks): After one hour the number of moles of gas above the remaining liquid oxygen is 710. Calculate the pressure of the gas. pressure = kPa [3]
  2. June 2025, Paper 1, Q20(a) (1 mark): Complete the missing value in the table. [1] 1200 1000 800 Specific heat capacity 600 / Jkg–1 K–1 400 200 0 0 10 20 30 Number of particles per unit mass / 1024
  3. June 2024, Paper 1, Q20(a)(i) (1 mark): Define the internal energy of an ideal gas. [1]
  4. June 2024, Paper 1, Q20(a)(ii) (2 marks): Use the formulae below to show that the average kinetic energy of a particle of an ideal gas is directly proportional to the absolute temperature of the gas. pV
  5. June 2024, Paper 1, Q20(b)(i) (2 marks): [2]
  6. June 2024, Paper 1, Q20(b)(ii) (3 marks): Calculate the molar mass of the gas assuming an absolute temperature of 290 K and r.m.s. speed of 430 m s–1. molar mass = kg mol–1 [3]
  7. June 2024, Paper 1, Q20(c)(ii) (2 marks): Calculate the pressure of the gas within the filament lamp during manufacture. pressure = kPa [2]
  8. June 2024, Paper 3, Q1(b)(i) (2 marks): The kinetic model of an ideal gas assumes that there are a large number of particles in rapid, random motion. State two further assumptions for the kinetic mode
  9. June 2024, Paper 3, Q1(b)(ii) (4 marks): A standard flute is placed inside a sealed chamber. The chamber is filled with helium at a temperature of –10 °C. Calculate the lowest frequency that the flute
  10. June 2023, Paper 1, Q10 (1 mark): An experiment is carried out to estimate the value of absolute zero using the variation of gas pressure with temperature. The apparatus is shown below. thin gla
  11. June 2023, Paper 1, Q20(a) (3 marks): A sealed container contains n moles of an ideal gas. The gas has pressure p, absolute temperature T and occupies volume V. The mass of one mole of the gas is M.
  12. June 2023, Paper 1, Q20(b)(i) (1 mark): Show that the density of air under the conditions described is about 1.2 kg m–3. [1]
  13. June 2023, Paper 1, Q20(b)(iv) (2 marks): The pressure of the helium in the gasbag is maintained at a value only slightly greater than atmospheric pressure. Suggest why a larger pressure is not used. [2
  14. June 2023, Paper 1, Q23(b)(i) (2 marks): Show that the typical kinetic energy of a helium nucleus in the atmosphere is about 10–16 J. [2]
  15. June 2023, Paper 1, Q23(b)(iv) (1 mark): Explain why the star has a solar wind that reaches a much greater distance from the star than found in (iii). [1]
  16. June 2022, Paper 1, Q8 (1 mark): Which statement(s) below are implied by the assumptions of the kinetic theory model of gases? 1 A gas is mostly empty space. 2 Gas particles spend more time bet
  17. June 2022, Paper 1, Q9 (1 mark): A container has 1.0 mole of gas at pressure 100 kPa. The root mean square (r.m.s.) speed of the gas particles is 500 m s–1. The mass of each gas particle is 4.7
  18. June 2022, Paper 1, Q19(b)(i) (3 marks): Show that the number of moles n, of nitrogen used per hour is about 600. [3]
  19. June 2022, Paper 1, Q19(b)(ii) (1 mark): Calculate the mass of nitrogen gas used in one hour. molar mass of nitrogen = 0.028 kg mol–1 mass = kg [1]
  20. June 2022, Paper 1, Q19(b)(iii) (1 mark): The volume of nitrogen being used cannot be changed. State how the rate of mass of nitrogen used can be reduced. [1]
  21. June 2022, Paper 1, Q21(b)(ii) (3 marks): Calculate the total kinetic energy Ek of the gas and dust particles in the nebula. Ek = J [3]
  22. November 2021, Paper 1, Q9 (1 mark): A piston has a fixed amount of trapped ideal gas. The gas exerts pressure p and has volume V. The thermodynamic (absolute) temperature of the gas is T. The mass
  23. November 2021, Paper 3, Q4(a) (6 marks): The oven is not sealed, so the air inside remains at atmospheric pressure of 1.0 × 105 Pa. The volume of the oven is 0.065 m3. The air inside the oven behaves a
  24. November 2020, Paper 1, Q15 (1 mark): The kinetic theory of matter is a model used to describe the behaviour of particles (atoms or molecules) in an ideal gas. There are a number of assumptions made
  25. November 2020, Paper 1, Q21(a)(i) (2 marks): Calculate the amount of argon n in the chamber in moles. n = mol [2]
  26. November 2020, Paper 1, Q21(a)(ii) (2 marks): The temperature of the kiln is increased from 20 °C to 1300 °C. Calculate the pressure in kPa at 1300 °C. pressure = kPa [2]
  27. November 2020, Paper 1, Q21(b)(i) (2 marks): Calculate the change in momentum Δp of this atom. mass of argon atom = 6.6 × 10–26 kg • Δp = kg m s–1 [2]
  28. November 2020, Paper 1, Q21(b)(ii) (3 marks): Assume that this atom does not collide with any other argon atoms inside the chamber. Instead, it travels horizontally, making repeated collisions with the oppo
  29. November 2020, Paper 1, Q21(b)(iii) (2 marks): Without calculation, explain how your answer to (ii)2 could be used to estimate the total pressure exerted by the atoms of the argon gas in the kiln. [2]
  30. November 2020, Paper 3, Q3(b) (6 marks): A student attends a lecture about the Sun and makes the following notes. The Sun loses more than 4 × 109 kg of its mass every second to maintain its luminosity.
  31. November 2020, Paper 3, Q4(c) (3 marks): Use the information in (b)(ii) and the data below to show that the root mean square (r.m.s.) speed of the air molecules inside the ISS is approximately 15 times
  32. June 2019, Paper 1, Q21(d)(i) (3 marks): The mass of a gas molecule is 4.8 × 10–26 kg. Calculate the root mean square speed of the gas molecules at a temperature of 250 °C. root mean square speed = m s
  33. June 2019, Paper 1, Q21(d)(ii) (3 marks): Calculate the internal energy of 1.3 moles of the gas at 250 °C. internal energy = J [3]
  34. June 2019, Paper 3, Q1(a) (2 marks): Calculate, in moles, the amount of trapped air in the bottle at the start of lift-off. amount of air = mol [2]
  35. June 2019, Paper 3, Q1(b) (3 marks): The trapped air pushes the water downwards out of the hole, causing the rocket to rise. The temperature of this air remains constant. Calculate the final pressu
  36. June 2018, Paper 1, Q14 (1 mark): The volume of one mole of an ideal gas is V. The gas exerts pressure p and has thermodynamic temperature T. Which of the following has the units J mol−1 K−1? A
  37. June 2018, Paper 1, Q22(b) (6 marks): (b)* There is a lot of helium in the Universe. This was also true of the Earth when it was formed billions of years ago. However, only small traces of helium ar
  38. June 2017, Paper 1, Q14 (1 mark): A container has an ideal gas. The mean square speed of the gas molecules in the container is 3.0 × 105 m2 s−2. Over a period of time, a third of the gas molecul
  39. June 2017, Paper 1, Q17(a) (2 marks): Describe and explain how the students may have made accurate measurements of the temperature θ. [2]
  40. June 2017, Paper 1, Q17(b)(i) (1 mark): Suggest why it was sensible to use the psi scale to measure p. [1]
  41. June 2017, Paper 1, Q17(c)(i) (1 mark): Plot the missing data point and the error bars on Fig. 17.3. [1]
  42. June 2017, Paper 1, Q17(c)(ii) (6 marks): A group of students are conducting an experiment in the laboratory to determine the value of absolute zero by heating a fixed mass of gas. The volume of the gas
  43. June 2017, Paper 1, Q17(e) (4 marks): The experiment is repeated as the water bath quickly cools from 70 °C to 5 °C. Absolute zero was found to be −390 °C. Compare this value with your value from (c
  44. June 2017, Paper 1, Q23(b)(iii) (3 marks): Explain why Mercury has no atmosphere whilst Pluto still has a thin atmosphere. Use data from the table to support your explanation. [3]
  45. June 2017, Paper 3, Q5(a)(ii) (4 marks): Calculate 1 the maximum speed vmax of the oscillating particles in the sound wave vmax = m s–1 [2] 2 the root mean square speed cr.m.s. of the air molecules in

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