Specific heat capacity and latent heat · Grade 10

Different materials need different amounts of energy to warm up: water needs a lot, metals much less. This is their specific heat capacity. When a substance melts or boils, energy is needed to change its state without changing its temperature: this is latent heat.

Key facts

  • Energy to change temperature: E = mcΔT (c = specific heat capacity, J/kg °C).
  • Water: c = 4,200 J/kg °C, much higher than most substances.
  • Energy to change state: E = mL (L = specific latent heat, J/kg).
  • Water: L (fusion) = 334,000 J/kg; L (vaporisation) = 2,260,000 J/kg.
  • During melting or boiling the temperature stays constant (flat parts of a heating curve).
  • When hot and cold mix: energy lost by the hot = energy gained by the cold.

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