AQA GCSE Combined Science: Trilogy Physics Paper 1 (Higher), 2022: Question 4

12 marks · Standard Demand difficulty · Extended Answer

Calculate and explain how gas pressure changes with temperature and particle behavior, including uncertainty, graph interpretation, and pressure cooker steam expansion.

Practise this question

Question

The question page is Question 04 about investigating how the pressure of a gas depends on temperature when the volume stays constant. Figure 6 shows a pressure meter connected by tubing to a round flask in a beaker containing a mixture of ice and water, with a thermometer in the flask and heat applied below; later parts include converting 1 atmosphere = 10^5 pascals into kilopascals, calculating uncertainty from four pressure readings at 50.0 degrees Celsius in a table (0.115, 0.120, 0.121, 0.116 MPa), describing a sketch graph of pressure against temperature as a straight line with positive gradient and non-zero intercept, and explaining pressure changes in a pressure cooker and density changes when steam is released. Figure 8 is a cross-section of a pressure cooker labelled safety valve, platform to hold food, heater, steam, and water.
Question text

04 A student investigated how the pressure of a gas depends on its temperature.

The volume of the gas did not change.

Figure 6 shows the equipment used.

Figure 6

04.1 Pressure is sometimes measured in units called atmospheres.

1 atmosphere is 105 pascals (Pa).

What is 1 atmosphere in kilopascals (kPa)?

[1 mark]

171 atmosphere = kPa

04.2 The student took four pressure readings for each temperature.

Table 1 shows the pressure readings when the temperature was 50.0 °C

Table 1

Pressure in MPa

Temperature in °C

12 3 4

50.0 0.115 0.120 0.121 0.116

Calculate the uncertainty in the mean pressure.

[2 marks]

Uncertainty = ± MPa

04.3 Figure 7 shows a sketch graph of the results.

Figure 7

The student said that as the temperature increases the pressure increases.

Give a better description of the relationship between temperature and pressure.

[1 mark]

A pressure cooker is a sealed pot that uses steam to cook food.

Figure 8 shows a pressure cooker.

Figure 8

04.4 When the water in the pressure cooker starts to boil:

• the amount of steam in the pressure cooker increases

• the temperature of the steam increases above 100 °C

Explain why these changes make the pressure in the cooker increase.

[5 marks]

04.5 If the pressure inside the pressure cooker becomes greater than 200 kPa then some

of the steam is released through the safety valve.

The released steam expands as it moves into the atmosphere.

*18* Explain how a change in density of the steam is caused by a change in the

arrangement of particles in the steam as it is released.

[3 marks]

Mark scheme

Show the mark scheme The mark scheme is a table for Question 4 with answers, extra information, marks, and AO/spec references. It gives 04.1 as 100 kPa; 04.2 as range 0.006 MPa and uncertainty ±0.003 MPa; 04.3 says the relationship is linear, allowing y = mx + c or constant gradient but not directly proportional; 04.4 awards marks for more steam meaning more particles, higher temperature meaning faster particles or greater kinetic energy, collisions with the cooker wall, more frequent collisions, and greater force per collision. For 04.5 it states particles spread out, the gas takes up a greater volume, and since density = mass/volume the density decreases; total marks for Question 4 are 12.

Question 4

AO /

Question Answers Extra information Mark

Spec. Ref.

04.1 100 (kPa) allow 102 (kPa) 1

AO2

6.3.3

AO /

Spec. Ref.

04.2 range = 0.006 (MPa) allow mean = 0.118 1 AO2

6.3.3

uncertainty = ± 0.003 (MPa) an answer of uncertainty = 1

0.118 (MPa) scores 0 marks

AO /

Spec. Ref.

04.3 the relationship is linear allow the relationship obeys 1 AO2

y = mx + c 6.3.3.1

allow the gradient (of the graph)

is constant

do not accept (directly)

proportional

AO /

Spec. Ref.

particles refers to particles in the

04.4 steam throughout AO2

6.3.3.1

(as the amount of steam 1

increases) the number of

particles increases

and (as the temperature allow (as the temperature 1

increases) the (average) kinetic

increases) particles move faster

energy of the particles increases

particles collide with the wall of 1

the cooker

if MP3 is not awarded no

subsequent marks may be

awarded

these collisions are more 1

frequent

and each collision exerts more 1

force

AO /

Spec. Ref.

04.5 the particles spread out do not allow particles expand 1 AO1

6.3.1.1

so the steam / gas takes up a allow there is less gas in the 1

greater volume same volume

mass do not allow density of particles 1

and density= so the

volume

density decreases decreases

Total Question 4 12

How to answer it

Gas Pressure, Temperature and Particles

What this question tests

This question checks your ability to convert pressure units, calculate uncertainty from repeat readings, describe a graph trend, and explain gas pressure using the particle model. It also tests whether you can link boiling, particle speed, collisions, and density to pressure changes in a pressure cooker.

Question overview

Topic: Gas pressure and temperature in a sealed container / pressure cooker

Total marks: 12

Part (a) 04.1 — Convert atmospheres to kilopascals

✅ Correct answer

1 atmosphere = 100 kPa

Accept: 10² kPa

💡 Key knowledge

  • 1 atmosphere = 10⁵ Pa
  • 1 kPa = 10³ Pa
  • So divide by 1000 to change Pa into kPa

🧠 Exam technique

Show the unit conversion clearly if you are unsure. Even though this is only 1 mark, the examiner wants the final unit in kPa.

❌ Common errors

  • Writing 1000 kPa instead of 100 kPa
  • Forgetting to convert from Pa to kPa
  • Leaving the answer in Pa

Part (b) 04.2 — Uncertainty in the mean pressure

Readings at 50.0 °C: 0.115, 0.120, 0.121, 0.116 MPa

📐 Calculations

  1. Find the range: highest − lowest
  2. 0.121 − 0.115 = 0.006 MPa
  3. Uncertainty in the mean = half the range
  4. 0.006 ÷ 2 = 0.003 MPa
  5. Answer: ± 0.003 MPa

✅ Correct answer

Uncertainty = ± 0.003 MPa

Also acceptable in method marks: range = 0.006 MPa, mean = 0.118 MPa.

💡 Key knowledge

  • The mean is the average of repeated readings.
  • For uncertainty from repeats, GCSE questions usually use half the range.
  • Use the same units as the data: here, MPa.

❌ Common errors

  • Giving the mean instead of the uncertainty
  • Writing 0.118 MPa as the uncertainty — this scores 0 marks
  • Using the full range as the uncertainty
  • Forgetting the ± sign

🧠 Exam technique

The best answers show range first, then half the range. This makes it easy for the examiner to award both marks.

Part (c) 04.3 — Describe the graph relationship

✅ Correct answer

The relationship is linear.

💡 Key knowledge

  • A linear relationship gives a straight line.
  • The gradient is constant.
  • This means pressure increases by equal amounts for equal temperature changes.

🧠 Exam technique

Use the word linear or say the gradient is constant. That is exactly what the mark scheme accepts.

❌ Common errors

  • Saying directly proportional — not accepted here
  • Describing it only as “going up” without naming the type of relationship
  • Writing about the graph shape but not the mathematical relationship

Part (d) 04.4 — Why pressure increases in a pressure cooker

This is the biggest explanation question. Marks are awarded for linking the particle model to pressure.

✅ Correct answer

As the water starts to boil, more steam particles are produced, so the number of gas particles increases. The particles also gain energy and move faster. They collide with the cooker walls more often, and each collision exerts more force. This makes the pressure increase.

💡 Key knowledge

  • Boiling produces more gas particles.
  • Higher temperature means higher average kinetic energy.
  • Faster particles hit the walls more often.
  • Each collision is harder, so pressure rises.

🧠 Exam technique

  • Write the explanation as a chain of cause and effect.
  • Use particle language: particles, collisions, force, pressure.
  • If you miss out one key link, you may lose a mark.

❌ Common errors

  • Saying “the particles expand” — particles do not expand
  • Talking only about “heat” without linking to particles
  • Only saying “there is more steam” with no explanation of why pressure rises
  • Not mentioning collisions with the cooker walls

📐 Step-by-step mark-building answer

  1. More steam is made when the water boils, so there are more particles in the cooker.
  2. Temperature increases, so particles have more kinetic energy and move faster.
  3. Faster particles collide with the walls more often.
  4. Each collision is more forceful.
  5. More frequent and stronger collisions mean higher pressure.
Examiner insight: Top-level answers did not just say “pressure increases because temperature increases”. They explained how: more particles, faster movement, more collisions, greater force.

Part (e) 04.5 — Why density decreases when steam is released

✅ Correct answer

The particles spread out, so the steam takes up a greater volume. Since density = mass ÷ volume, the density decreases.

💡 Key knowledge

  • Gas particles are far apart and can move away from each other.
  • When gas expands, the same amount of mass occupies a bigger volume.
  • If mass stays the same and volume increases, density decreases.

🧠 Exam technique

For 3 marks, make sure you include: particles spread out → volume increases → density decreases.

❌ Common errors

  • Saying “particles expand” — this is not correct
  • Writing only “density decreases” without explaining why
  • Using the wrong formula for density
  • Saying the mass increases or decreases without support

📐 Formula reminder

density = mass ÷ volume

What the examiner wanted overall

💡 Key facts to remember

  • 1 atm = 10⁵ Pa = 100 kPa
  • Uncertainty from repeats = half the range
  • A straight-line graph shows a linear relationship
  • Heating a gas increases particle speed and pressure
  • Gas pressure comes from particles colliding with the container walls
  • Density falls if the same mass spreads into a larger volume

🧠 How to score full marks

  • Use the exact command word: calculate, describe, explain.
  • For explanation questions, chain your ideas logically.
  • Use scientific vocabulary from the particle model.
  • Check units carefully: kPa, MPa, °C.

Topics

Physics · P3: Particle Model of Matter

Question and mark scheme from the AQA GCSE Combined Science: Trilogy examination, Physics Paper 1 (Higher), 2022. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.