IGCSE 0625 / Section 2.2 / Extended
Supplement (Extended) content

How much heat to warm it.

Sand at the beach scorches your feet by noon while the sea stays cool. Both sat under the same Sun. Water simply demands far more energy to warm each kilogram, a property captured by its specific heat capacity.

The key idea

The specific heat capacity c is the energy needed to raise the temperature of 1 kg of a substance by 1 degree Celsius. The energy transferred is E = mc times the change in temperature, measured in joules.

Definition · learn the exact words

The specific heat capacity of a substance is the energy required to raise the temperature of 1 kg of it by 1 degree Celsius (or 1 K).

E = m c Δθ, so c = E ÷ (m Δθ)

The unit is J/(kg °C). Use the temperature change, not the final temperature.

Section 01

Pour in energy, watch it warm.

Change the material, the mass and the energy supplied, and read off the temperature rise.

Stage 1 · Learn

Check specific heat capacity

Four quick checks. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

The specific heat capacity is the energy needed to raise the temperature of...

Quick check+10 XP

The equation linking energy, mass, specific heat capacity and temperature change is...

Quick check+10 XP

The unit of specific heat capacity is...

Quick check+10 XP

Water has a high specific heat capacity, which means it...

Section 02

Energy, mass, temperature change.

The equation ties together how much you heat, how much there is, and what it is made of.

E = m c Δθ  (energy in J, mass in kg, c in J/(kg °C), Δθ in °C)
c = E ÷ (m Δθ)
Worked example

How much energy is needed to raise the temperature of 2.0 kg of water by 10 degrees Celsius? Take c = 4200 J/(kg degrees Celsius).

Step 1 · Write the equationE = m c Δθ
Step 2 · SubstituteE = 2.0 × 4200 × 10
Step 3 · AnswerE = 84000 J
Examiner trap

Specific heat capacity is defined per kilogram, so always multiply by the actual mass. And use the temperature change, not the final temperature: heating from 20 to 50 degrees Celsius is a change of 30, not 50.

Stage 2 · Exam

Exam-style questions

Unlocks once the four checks above are done. Worth more XP, written in the style of Paper 2.

Finish the four checks above to unlock the exam questions
Exam style+20 XP

The energy needed to heat 2.0 kg of water by 5.0 degrees Celsius is (c = 4200 J/(kg degrees Celsius))...

Exam style+20 XP

A 0.50 kg metal block gains 9000 J and rises by 30 degrees Celsius. Its specific heat capacity is...

Exam style+20 XP

Rearranging E = mcΔθ, the temperature change is found from...

Skill unlocked

Specific heat capacity, mastered.

A key thermal-properties skill secured. Keep the chain going.

-Rank -Level -Score -Topics
Go deeper · practice
Six original Cambridge-style questions
The E = mc times change in temperature relationship, rearranging for c or temperature change, and the meaning of a high specific heat capacity. Attempt each, then reveal the worked solution.
Stage 3 · master the unit
Thermal physics challenge
Mixed questions across the whole unit, each one worth XP. Start this only when you feel confident across every topic in the unit, not just specific heat capacity.
Start the unit challenge →