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Science · Grades 9–12

Thermal energy changes

Assume constant specific heat and no phase change.

Make a worksheet

The key idea

Assume constant specific heat and no phase change.

Q = mcΔT

Worked examples

A 12 kg sample has specific heat 800 J/(kg·°C). Its temperature rises 15°C with no phase change. Find the energy gained in J.

12 × 800 × 15 = 144000

144000 J

A 1 kg sample has specific heat 800 J/(kg·°C). Its temperature rises 25°C with no phase change. Find the energy gained in J.

1 × 800 × 25 = 20000

20000 J

Try it yourself

  1. A 4 kg sample has specific heat 800 J/(kg·°C). Its temperature rises 24°C with no phase change. Find the energy gained in J.

  2. A 3 kg sample has specific heat 500 J/(kg·°C). Its temperature rises 2°C with no phase change. Find the energy gained in J.

Check your understanding

Answers and marking notes
  1. 76800 J

    4 × 800 × 24 = 76800

  2. 3000 J

    3 × 500 × 2 = 3000

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.