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A level Physics · Edexcel 9PH0 · Topic 9A

Specific heat capacity and latent heat

Key points

  • Specific heat capacity is the energy needed to raise the temperature of 1 kg of a substance by 1 K: ΔE=mcΔθ\Delta E = mc\Delta\theta (J kg−1^{-1} K−1^{-1}).
  • Specific latent heat is the energy needed to change the state of 1 kg without changing temperature: ΔE=LΔm\Delta E = L\Delta m. Use fusion for melting and vaporisation for boiling.
  • During a change of state the temperature stays constant: energy breaks bonds, raising potential energy, not kinetic energy.
  • Internal energy = sum of the randomly distributed kinetic and potential energies of the molecules.
  • With an electrical heater, energy supplied = VItVIt.
  • Core practical: find the specific latent heat of a phase change (e.g. melting ice with an immersion heater). A similar method finds cc from the gradient of temperature against time. Insulate to reduce heat loss.
  • Heat losses mean the calculated cc is usually larger than the true value.

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Supplying energy to a substance can raise its temperature or change its state. Specific heat capacity and specific latent heat tell you how much energy each of these needs per kilogram.

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