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DSE Physics | Specific Heat Capacity Lesson-Prep Guide (Tutor Edition) | E = mc dT and Heating Time

DSE Physics | Specific Heat Capacity Lesson-Prep Guide (Tutor Edition) | E = mc dT and Heating Time

  • 2026-11-01

Students can write E = mc dT but cannot explain why the sea stays cooler than the land. Heat water and oil with the same heater and “large specific heat capacity” becomes something they have seen.

Objectives — Students can: (1) compute heat energy with E = mc dT; (2) turn energy into time using power and efficiency; (3) explain one example each of conduction, convection and radiation, and match the three features of a vacuum flask to the transfer route each one blocks.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Power What does 1 W mean? One joule per second
Mass units What is 500 g in kg? 0.5 kg
Temperature change From 20 to 40 degrees Celsius, what is dT? 20 degrees

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-8 min Demo: water and oil Same heater, who heats faster? Predict, then test
8-22 min E = mc dT Units of each symbol Obtain 42 kJ
22-36 min Energy to time Power and efficiency Obtain 105 s
36-48 min Three transfer routes Conduction, convection, radiation One example each
48-56 min Vacuum flask Match each feature to a route Name all three
56-60 min Exit check Three questions, marked at once Independent work

03 Teaching script (read it out)

Scene 1: Heating curves: steeper means smaller capacity

The same 500 W heater warms oil faster than water because oil has a smaller specific heat capacity. Warming 0.5 kg of water by 20 degrees takes 0.5 times 4200 times 20 = 42000 J.

Ask them: why does the daytime breeze blow from sea to land? Water heats slowly, land air rises first.

Scene 2: From energy to time: use the net power

500 W means 500 J every second, so 42000 J needs 84 s in an ideal case. With 80% efficiency it is 42000 divided by (500 times 0.8) = 105 s.

Watch this: losses mean more time, so you divide by efficiency, never multiply.

Scene 3: Conduction, convection, radiation: three routes, three blocks

Conduction moves energy by particle collisions and is best in metals. Convection moves it with the fluid itself. Radiation is electromagnetic and needs no medium, working best from dark rough surfaces. A vacuum flask blocks all three: the vacuum stops conduction and convection, the silvered walls reflect radiation, the stopper stops convection at the top.

Interview-style prompt: why is a down jacket warm? Trapped air cuts conduction and convection; the jacket does not generate heat.

04 Question types and worked steps

Type Example Steps Answer
Calculation E = mc dT 0.5 x 4200 x 20 42000 J
Calculation Ideal heating time E divided by P 84 s
Calculation Time with efficiency E divided by (P x efficiency) 105 s
Application Three features of a flask One route each Vacuum, silver, stopper
Sanity check (teach this): The unit of c is J per kg per K, so mass must be in kg and dT is a difference: never add 273. Check the order of magnitude – a few hundred grams of water rising tens of degrees is tens of thousands of joules.

05 Independent practice (3 questions)

Question Answer What to watch
Energy to warm 0.5 kg of water by 20 degrees 42000 J E = mc dT
Time with a 500 W heater 84 s E divided by P
Time at 80% efficiency 105 s Net power is 400 W

06 Common mistakes and what to say

Mistake Student writes Say this
Using grams for mass Writing 500 instead of 0.5 c is per kilogram, so 500 g must become 0.5 kg.
Adding 273 to dT Using 293 K as the difference Only the difference matters: 20 degrees is 20 K.
Multiplying by efficiency 84 times 0.8 Losses make it slower, so divide by efficiency.
Thinking radiation needs a medium Saying a vacuum cannot lose heat Radiation is electromagnetic; that is how the Sun reaches us.

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
Energy to warm 0.5 kg by 20 degrees 42000 J Three correct: move on to change of state
Heating time at 500 W 84 s One wrong: re-teach units
What does the silvered wall do? Reflects radiation Two or more wrong: restart act one

09 Tutor FAQ

Must students memorise c?

Only water, 4200 J per kg per K. Other values are given in the question.

Why does metal feel cold?

It conducts heat away from your finger quickly; it is not at a lower temperature. That is the standard conduction answer.

Can efficiency exceed 100 per cent?

No. If it does, joules and kilowatt-hours have been mixed.

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A TutorZone lesson-prep guide. Written by the TutorZone team; questions and lesson flow are original and are not taken from any school or publisher material.

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