Internal energy, specific heat capacity and specific latent heat

Physics · Particle model of matter. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

Internal energy is the total kinetic energy and potential energy of all the particles in a system. Heating a system increases its internal energy. This does one of two things.

It can make the particles move faster. Their kinetic energy rises, so the temperature rises. The size of the rise depends on the mass, the material and the energy supplied.

Or it can change the state. The energy then increases the potential energy of the particles as they move apart. The kinetic energy does not change, so the temperature stays constant until all the substance has changed state. This is the flat part of a heating or cooling graph. The energy needed is called latent heat.

Rules to remember

Common mistake

Students use ΔE = mcΔθ for melting or boiling. There is no temperature change during a change of state, so use E = mL for that stage and add it to any mcΔθ stage.

Worked example

How much energy is needed to turn 0.15 kg of water at 100 °C into steam at 100 °C? The specific latent heat of vaporisation of water is 2 260 000 J/kg.

  1. The temperature does not change, so use E = mL.
  2. E = 0.15 × 2 260 000.
  3. 0.15 × 2 260 000 = 339 000 J.

Answer: 339 000 J (339 kJ)

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