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Physics questions, chapter 4

Heat

46 marks. Use Practice to check each answer as you go, or Exam to answer everything against the clock first.

Section A: objective questions

10 marks
Choose the best answer for each question.
1

Question 1

Which statement describes two objects in thermal equilibrium?
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C
At thermal equilibrium the two objects are at the same temperature. Heat flows both ways at the same rate, so the net heat transfer is zero (textbook p. 121).
For the teacher: Remembering, low difficulty, standard 4.1
Textbook p. 121
2

Question 2

Which pair of fixed points is used to calibrate a liquid-in-glass thermometer?
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A
The two fixed points are the melting point of ice (0 °C) and the boiling point of distilled water (100 °C).
For the teacher: Remembering, low difficulty, standard 4.1
Textbook p. 123
3

Question 3

An uncalibrated thermometer has a length of 20 cm between the ice point (0 °C) and the steam point (100 °C). When the bulb is put in a liquid, the liquid column is 6 cm long, measured from the ice point. What is the temperature of the liquid?
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B
θ = (6 ÷ 20) × 100 = 30 °C.
For the teacher: Applying, low difficulty, standard 4.1
Textbook p. 124
4

Question 4

Water is used as the cooling agent in a car radiator because water
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D
Water has a high specific heat capacity, so it absorbs a large amount of heat from the engine with only a small rise in temperature.
For the teacher: Understanding, low difficulty, standard 4.2
Textbook p. 132
5

Question 5

Equal masses of water, aluminium, iron and copper receive the same amount of heat. Which one has the greatest rise in temperature? (Specific heat capacities: water 4 200, aluminium 900, iron 450, copper 390 J kg⁻¹ °C⁻¹)
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A
Δθ = Q ÷ mc. For the same Q and m, the substance with the smallest c has the largest Δθ, which is copper.
For the teacher: Applying, medium difficulty, standard 4.2
Textbook p. 128
6

Question 6

A liquid boils at a constant temperature although heat is still supplied. What happens to the heat absorbed?
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B
The latent heat is used to break the bonds and separate the molecules, not to raise their average kinetic energy. So the temperature stays constant.
For the teacher: Understanding, medium difficulty, standard 4.3
Textbook p. 138
7

Question 7

The air in a sealed syringe has a volume of 30 cm³ and a pressure of 200 kPa. The temperature stays constant. What is the pressure when the volume is reduced to 15 cm³?
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C
Boyle's law: P₁V₁ = P₂V₂, so P₂ = (200 × 30) ÷ 15 = 400 kPa.
For the teacher: Applying, low difficulty, standard 4.4
Textbook p. 151
8

Question 8

A fixed mass of gas has a volume of 250 cm³ at 27 °C. It is heated to 87 °C at constant pressure. What is the new volume?
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A
Convert to kelvin: T₁ = 300 K, T₂ = 360 K. V₂ = 250 × 360 ÷ 300 = 300 cm³. Using °C directly would give a wrong value of about 805 cm³.
For the teacher: Applying, medium difficulty, standard 4.4
Textbook p. 156
9

Question 9

A gas in a rigid container is at 27 °C. At what temperature will its pressure be twice the original value?
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B
At constant volume P ∝ T (kelvin). T₁ = 300 K, so T₂ = 600 K = 327 °C. Doubling the Celsius value (54 °C) is a common error.
For the teacher: Analysing, high difficulty, standard 4.4
Textbook p. 160
10

Question 10

Diagram 1 shows the graph of pressure against temperature for a fixed mass of gas at constant volume. At what temperature does the straight line, extended, meet the axis where P = 0?
Graph of pressure against temperature in degrees Celsius; points at 30, 50, 70 and 90 °C lie on a straight line that rises from about 0 kPa at the far left
Diagram 1
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D
Extrapolating the graph to P = 0 gives absolute zero, −273 °C (0 K).
For the teacher: Analysing, low difficulty, standard 4.4
Textbook p. 155

Section B: structured questions

36 marks
Answer all questions. Write your answers in the spaces provided.
11

Question 11

A clinical thermometer is placed under the tongue of a patient.
[1 mark] (a)What is meant by thermal equilibrium?
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[2 marks] (b)Explain why the thermometer must be left under the tongue for a short time before it is read.
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For the teacher: Understanding, low difficulty, standard 4.1
Textbook p. 122
12

Question 12

0.30 kg of water at 80 °C is mixed with 0.60 kg of water at 20 °C in an insulated container. [Specific heat capacity of water = 4 200 J kg⁻¹ °C⁻¹]
[1 mark] (a)State the principle used to find the final temperature.
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[3 marks] (b)Calculate the final temperature of the mixture.
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[1 mark] (c)State one assumption you made.
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For the teacher: Applying, medium difficulty, standard 4.2
Textbook p. 135
13

Question 13

Explain each of the following using specific heat capacity.
[2 marks] (a)The body of a cooking pot is made of aluminium but its handle is made of plastic.
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[2 marks] (b)A sea breeze blows from the sea to the land during the day.
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For the teacher: Understanding, low difficulty, standard 4.2
Textbook p. 134
14

Question 14

A solid of mass 0.20 kg is heated by a 50 W heater. Diagram 2 shows how its temperature changes with time. Assume all the heat from the heater is absorbed by the substance.
Graph of temperature against time: 50 °C at 0 min rising to 80 °C at 3 min, flat at 80 °C until 9 min, then rising to 104 °C at 12 min
Diagram 2
[1 mark] (a)What is the melting point of the substance?
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[2 marks] (b)Explain why the temperature stays constant from Q to R although heat is still supplied.
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[2 marks] (c)Calculate the heat absorbed from Q to R.
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[2 marks] (d)Calculate the specific latent heat of fusion of the substance.
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For the teacher: Analysing, high difficulty, standard 4.3
Textbook p. 138
15

Question 15

An electric kettle of power 1.5 kW changes 0.40 kg of water at 25 °C into steam at 100 °C. [c of water = 4 200 J kg⁻¹ °C⁻¹; l_v of water = 2.26 × 10⁶ J kg⁻¹]
[2 marks] (a)Calculate the heat needed to raise the temperature of the water to 100 °C.
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[2 marks] (b)Calculate the heat needed to change the water at 100 °C into steam.
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[3 marks] (c)Calculate the total heat and the time taken by the kettle.
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For the teacher: Applying, medium difficulty, standard 4.3
Textbook p. 147
16

Question 16

The end of a syringe is closed. It contains 60 cm³ of air at a pressure of 102 kPa. The piston is pushed in slowly until the volume is 24 cm³.
[1 mark] (a)State Boyle's law.
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[2 marks] (b)Calculate the pressure of the compressed air.
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[2 marks] (c)Explain, using the kinetic theory of gas, why the pressure increases.
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For the teacher: Applying, low difficulty, standard 4.4
Textbook p. 151
17

Question 17

Use the gas laws to answer the following.
[1 mark] (a)Convert 17 °C to kelvin.
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[2 marks] (b)An air bubble under a leaf has a volume of 3.0 cm³ at 17 °C. Calculate its volume when the water warms to 37 °C. Pressure is constant.
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[2 marks] (c)A sealed gas cylinder at 27 °C has a pressure of 250 kPa. It is heated to 177 °C. Calculate the new pressure.
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For the teacher: Applying, medium difficulty, standard 4.4
Textbook p. 163