Practical skills: Paper 4 Alternative to Practical

Practical skills: Paper 4 Alternative to Practical

Thermal experiments: cooling, heating and temperature

Thermal experiments Paper 4 13 min read

On this page
  1. In this note
  2. Rules to learn
  3. Reading a thermometer
  4. Cooling curves
  5. Fair tests for heating and cooling
  6. Heating, specific heat capacity and changes of state
  7. From the past papers
  8. Mistakes to avoid
  9. Summary
  10. Practice
  11. Can I do this?
  12. Quiz

In this note

Syllabus context: cooling and heating, including measurement of temperature
  • AO3Read a thermometer correctly and know the techniques that make the reading accurate (stir, wait, eye level).
  • AO3Record a cooling or heating experiment at fixed times and draw the curve.
  • AO3Calculate an average rate of cooling (°C/s) and explain why it changes.
  • AO3Make a cooling or heating comparison a fair test and suggest how to reduce energy losses.
  • AO3Use heating data to find a specific heat capacity, and handle melting, evaporation and mixing experiments.

The skills used here: readings, graphs, fair tests.

Rules to learn

Temperature changeLearn it\(\Delta\theta=\theta_{\text{start}}-\theta_{\text{end}}\)for cooling, a positive fallUse it when comparing two containers.
Average rate of coolingLearn it\(\dfrac{\Delta\theta}{\Delta t}\)°C/s or °C/min (the sign is usually ignored).Use it when "calculate the average cooling rate".
Electrical energyLearn it\(E=VIt\) (or \(E=Pt\))J from V, A, s.Use it when an electric heater.
Specific heat capacityLearn it\(c=\dfrac{E}{m\,\Delta\theta}\)J/(kg °C); m in kg.Use it when heating a known mass.
Cooling slows downLearn itrate of cooling ∝ (temperature − room temperature), roughlyhot water cools faster than warm waterUse it when "explain why the rate changes".

Reading a thermometer

School thermometers run from −10 °C to 110 °C with 1 °C marks. Read to the nearest half-degree, at the top of the liquid thread.

Thermometer from -10 to 110 °C with 2 °C marks; the liquid reaches 23 °C-100102030405060708090100110top of the liquid
Labelled every 10 °C, with marks every 2 °C here: the liquid stops at 23 °C.
TechniqueWhy
eye level with the top of the liquid, line of sight perpendicular to the scaleno parallax
stir the water before each readingthe temperature is the same throughout the water
wait until the reading stops changing (at the start)the thermometer takes time to reach the water's temperature
bulb fully in the water, not touching the beakeryou measure the water, not the glass
thermometer held in a clampit doesn't touch the sides and the scale can face you

Try it yourself

1
A thermometer has 1 °C marks; the liquid is halfway between 67 and 68. Reading?
Show answer

Answer 67.5 °C

Cooling curves

Hot water is poured into a beaker and its temperature read every 30 s (or every minute). The temperature falls quickly at first, then more slowly as it gets close to room temperature: the hotter the water compared with the room, the faster it loses energy.

Cooling curve from 80 °C: steep at first, then flatter01002003004005006002030405060708090t / sθ / °C
Our own readings every 60 s: a smooth curve, steep at first, then flatter.

General methodHow to take readings at exact times

  1. Start the stopwatch as you take the first reading and let it run (don't stop it).
  2. Keep the stopwatch next to the thermometer, or have one person call the time and one read the thermometer.
  3. Stir just before each reading; read at eye level.

Example Water cools from 80.0 °C to 62.0 °C in 300 s. Average rate of cooling?

Fall ÷ time, unit °C/s.

  1. \(\Delta\theta=80.0-62.0=18.0\) °C
  2. \(18.0\div300=0.060\) °C/s

Answer 0.060 °C/s

Comparing the first and second halves of a cooling run always gives a bigger rate first. That is why a fair comparison of two containers needs the SAME starting temperature.

Try it yourself

1
90.0 °C to 81.0 °C in 120 s. Average cooling rate (°C/s)?
Show answer

Answer 0.075 °C/s

Fair tests for heating and cooling

InvestigationChangeKeep the same
effect of insulation / a lidinsulated or not; number of layersvolume of water, starting temperature, beaker, time, room temperature
effect of surface colour (radiation)colour of the container or card (black, white, shiny)distance from the lamp, lamp power, volume and starting temperature, time
effect of surface area (evaporation)area of the dishvolume of water, starting temperature, time, no draughts
effect of volumevolume of waterstarting temperature, beaker, time
Reduce energy lost to the surroundings by…Because
insulating the beaker (cotton wool, foam)less conduction through the sides
a lidless evaporation and convection from the surface
shielding from draughtsless convection
a shiny or white outer surfaceless radiation
When a question asks you to suggest how to reduce energy loss, name the apparatus change ("put a lid on the beaker"), not the physics ("reduce convection") alone.

Heating, specific heat capacity and changes of state

An electric heater in a block or in water supplies energy \(E=VIt\). Measure the temperature rise and the mass to find the specific heat capacity \(c=\dfrac{E}{m\Delta\theta}\).

Example A 12.0 V heater draws 2.0 A for 300 s and heats 0.200 kg of water from 28.0 °C to 36.5 °C. Specific heat capacity?

Energy in, then c = E / (m Δθ).

  1. \(E=12.0\times2.0\times300=7200\) J
  2. \(\Delta\theta=36.5-28.0=8.5\) °C
  3. \(c=\dfrac{7200}{0.200\times8.5}=4235\) J/(kg °C) \(\approx4200\) J/(kg °C)

Answer about 4200 J/(kg °C)

ExperimentTypical answer the scheme looks for
why the value of c is higher than the true valueenergy is lost to the surroundings, so more energy seemed to be needed
improve itinsulate the container; lid; stir
melting ice in different conditionssame mass of ice, same starting size/shape, time until fully melted
mixing hot and cold watermeasure both starting temperatures and the final one; stir; insulate
evaporationmeasure the mass (or volume) lost over a fixed time; same starting temperature and volume

Try it yourself

1
A heater supplies 7560 J to 0.150 kg of water. c = 4200 J/(kg °C). Temperature rise?
Show answer

Answer 12.0 °C

From the past papers

Past paper 1

0625/62/F/M/25 Q2Paper 6 · Alternative to Practical11 marksFull size
Insulated beaker A and uninsulated beaker B cooling from about 93 °C, readings every 30 s for 180 s. Record room temperature and a technique; a technique for timing every 30 s; a conclusion with values; average cooling rates of B in the first and second 90 s; whether equal starting temperatures matter; a change to stop heat loss from the surface and its effect.

How to start: Look at the falls over the whole 180 s (A: 7.0 °C, B: 10.0 °C) before you write the conclusion, and use exactly the times the question names for the rates.

✓ Show the answer have a go on paper first
  1. (a)(i) \(\theta_R=21\) °C. (ii) Read the scale with the eye perpendicular to it (level with the top of the liquid).
  2. (b) Keep the stopwatch next to the thermometer and let it run, or have one student watch the timer and call out every 30 s while the other reads.
  3. (c) Beaker A (insulated) cools more slowly: over 180 s A falls 7.0 °C (92.5 → 85.5) but B falls 10.0 °C (93.0 → 83.0).
  4. (d)(i) \(x_1=\dfrac{93.0-87.0}{90}=0.067\) °C/s. (ii) \(x_2=\dfrac{87.0-83.0}{90}=0.044\) °C/s.
  5. (e) \(x_1>x_2\): the water cools faster when it is hotter. So the starting temperature affects the cooling rate: both beakers must start at the same temperature, so the comparison depends only on the insulation.
  6. (f)(i) Put a lid on both beakers (or insulate all over both). (ii) Both cooling rates decrease.
PartAnswer / workingMarksGuidance
(a)(i)21 (°C)B1
(a)(ii)read the scale perpendicularlyB1
(b)how to take the reading at a precise time, e.g. stopwatch and thermometer close together / timer set for every 30 s / one student watches the timer and another reads the thermometerB1
(c)beaker A / the insulated beaker cools more slowlyB1
comparison of the temperature changes over 180 s, matching the statement (values used)B1
(d)(i)x₁ = 0.067 and x₂ = 0.044B1
(d)(ii)unit °C/sB1
(e)comparison of x₁ and x₂B1
yes: A and B must start at the same temperature so the comparison depends only on the insulationB1
(f)(i)add lids to both beakers / insulation all over both / cover bothB1
(f)(ii)cooling rates decreaseB1
Total: 11 marks

Examiner tip In (c) the scheme needs NUMBERS from the table, from the same time span for both beakers.

Explaining why you stir / wait

5054/42/O/N/23 Q2Paper 4 · Alternative to PracticalPart (a)(ii)1 mark

The student lowers a thermometer into 200 cm³ of hot water and waits for approximately 30 s before starting a stop-watch. Explain why the student waits for 30 s before reading the initial temperature of the hot water.

Credited
  • to allow the thermometer to reach the temperature of the water
  • to give the thermometer liquid time to expand
Not credited
  • "to make it accurate"
  • "so the water cools"
  • "to avoid parallax"
Why

Rote phrases do not say what the waiting achieves. The thermometer starts at room temperature; its liquid needs time to warm to the water's temperature before the reading is the water's.

From: 5054/42/O/N/23 Q2(a)(ii) scheme ("to allow thermometer to reach the temperature of the hot water / to allow thermometer to respond")

Type 1 Rate of cooling

"Calculate the average cooling rate … Include the unit." (1-2 marks)

Spot it two temperatures and a time.

  1. Fall in temperature.
  2. ÷ time.
  3. °C/s or °C/min.

Type 2 Conclusion from two containers

"Write a conclusion … Justify by referring to values." (2 marks)

Spot it two columns of temperatures.

  1. Which cools more slowly.
  2. Quote the falls over the SAME time.

Type 3 Fair test

"State two variables that should be kept constant." (2 marks)

Spot it a comparison.

  1. Volume, starting temperature, beaker, room temperature, time.

Type 4 Reduce energy loss

"Suggest a change to the equipment …" (1 mark)

Spot it "heat loss", "thermal energy lost".

  1. Lid / insulation / shield from draughts.

Mistakes to avoid

  • ✗ comparing falls over different times✓ the same time span for both
  • ✗ rate with no unit✓ °C/sThe unit is a mark.
  • ✗ "reduce heat loss"✓ "put a lid on the beaker"Name the change.
  • ✗ "same amount"✓ "same volume of water"Be exact.
  • ✗ joining cooling points with straight lines✓ one smooth curve

Summary

  • Thermometer: eye level, stir, wait for the reading to settle, bulb in the water.
  • Cooling is fastest at first; rate = fall ÷ time (°C/s).
  • Fair comparison: same volume, starting temperature, container, time and room.
  • Less energy loss: lid, insulation, no draughts, shiny surface.
  • c = E / (m Δθ) with E = VIt.

If you see …

  • "cooling rate"Δθ ÷ Δt with °C/s.
  • "fair"same starting temperature and volume.
  • "lost from the surface"a lid.

Practice

Practice: easy, medium, hard

Easy

1
Fall from 75.0 °C to 69.0 °C in 2.0 min. Rate in °C/min?
Show answer

Answer 3.0 °C/min

2
Why stir the water before reading the thermometer?
Show answer

Answer so the temperature is the same throughout the water

3
E = VIt for 6.0 V, 1.5 A, 200 s (J)?
Show answer

Answer 1800 J

Medium

1
Beaker P falls from 85.0 to 79.5 °C and beaker Q from 85.0 to 76.0 °C in 3 minutes. Which is better insulated? Justify.
Guide me

What is it asking? which, with numbers

What do we know? falls over the same time

Plan smaller fall = better insulated

Show answer

Answer P: it fell 5.5 °C, Q fell 9.0 °C in the same time

2
0.250 kg of water warms by 6.0 °C when given 6300 J. Specific heat capacity?
Guide me

What is it asking? c

What do we know? E, m, Δθ

Plan c = E/(mΔθ)

Show working
  1. 6300 ÷ (0.250 × 6.0)

Answer 4200 J/(kg °C)

3
Give two variables to keep constant when comparing cooling in a black and a white can.
Guide me

What is it asking? two controls

What do we know? what else affects cooling?

Plan amount and starting temperature

Show answer

Answer volume of water; starting temperature (also same can size, time, room temperature)

Hard

1
Readings for one beaker: 0 s 90.0 °C, 90 s 84.6 °C, 180 s 80.1 °C. Calculate both 90 s cooling rates (°C/s, 2 s.f.) and explain the difference.
Show answer

Answer 0.060 and 0.050 °C/s; it cools more slowly as its temperature gets closer to room temperature

PartAnswer / workingMarksGuidance
0.060 °C/sB1
0.050 °C/sB1
rate falls as the temperature difference with the room fallsB1
Total: 3 marks
2
A measured c for water is 4900 J/(kg °C), above the true 4200. Explain why and suggest an improvement.
Show answer

Answer energy is lost to the surroundings, so more energy appears to be needed per kg per °C; insulate the beaker / add a lid

PartAnswer / workingMarksGuidance
energy lost to the surroundingsB1
insulation / lidB1
Total: 2 marks

Can I do this?

Anything unticked: revise that section first. All ticked: take the quiz.

Quiz

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