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Q = mcΔT

PHY032 · Thermodynamics · Classes 9–12

Specific heat capacity

Objective: To find the specific heat capacity of a substance using an electric heater and a calorimeter.

🧰 Apparatus

  • Insulated calorimeter
  • Low-voltage immersion heater (12 V)
  • Joulemeter or ammeter + voltmeter + stopclock
  • Thermometer
  • Balance

📐 Formulas and SI units

Q = m c ΔT (J)
Q = VIt for an electric heater

💡 Theory

Specific heat capacity c is the energy needed to raise 1 kg of a substance by 1 K: Q = mcΔT. Water has a very high c (4200 J/kg K), so it warms slowly and stores a lot of heat; metals warm quickly.

🪜 Procedure

  1. Measure the mass of the water (or metal block).
  2. Record the starting temperature.
  3. Switch on the heater and record the energy supplied (VIt).
  4. Stir and record the highest temperature reached.
  5. Calculate c = Q/(mΔT).

📋 Observations Simulated values

✅ Result and conclusion

42 kJ raises 1 kg of water by 10 °C; the same energy would raise 1 kg of copper by about 109 °C.

🔬 In a real lab

Heat leaks to the surroundings and warms the calorimeter, so the measured c is a little high.

⚠️ Safety

Use only a low-voltage heater; never switch it on out of liquid. Hot water and blocks burn: handle with tongs.

❓ Quick check

1. Which warms fastest with the same heat?

2. Unit of specific heat capacity?

3. Coastal cities have milder climates because water has…

🏋️ Practice

EasyHeat to warm 2 kg water by 5 °C?

Answer: 42 kJ

Medium900 J warms 0.1 kg aluminium by?

Answer: 10 °C

ChallengeWhy is water used in car radiators?

Answer: High c carries away lots of heat