Form 4 · Chapter 4

Specific Heat Capacity

Specific heat capacity is the heat needed to raise the temperature of 1 kg of a substance by 1 °C, and it explains why some materials heat up faster than others.

Definition

The specific heat capacity c of a substance is the amount of heat required to raise the temperature of 1 kg of the substance by 1 °C (or 1 K). Its SI unit is J kg⁻¹ °C⁻¹. Water has a very high specific heat capacity of about 4200 J kg⁻¹ °C⁻¹, which is why it heats up and cools down slowly.

Key formula / 关键公式

Q = mcθ
Q = heat absorbed or released (J); m = mass (kg); c = specific heat capacity (J kg⁻¹ °C⁻¹); θ = change in temperature (°C).
Rearranged: c = Q / (mθ).

What it means physically

  • A material with a high specific heat capacity needs a lot of heat to warm up and releases a lot of heat when it cools.
  • A material with a low specific heat capacity heats up and cools down quickly (e.g. metals).
  • The large value for water is used in car cooling systems and to moderate the climate near the sea.

Everyday applications

Water is used as a coolant because it can absorb large amounts of heat with only a small temperature rise. Sea breezes occur because land (low c) heats up faster than the sea (high c) during the day.

Worked example / 例题

How much heat is needed to raise the temperature of 2.0 kg of water from 25 °C to 55 °C? (c = 4200 J kg⁻¹ °C⁻¹)
θ = 55 − 25 = 30 °C.
Q = mcθ = 2.0 × 4200 × 30 = 252 000 J = 252 kJ.

Remember / 记住

  • Use the temperature change θ, not the actual reading.
  • Mass must be in kilograms.
  • High c means slow to heat and slow to cool.

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