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Grade 10 Science · Unit 4: Energy changes and heat

Specific heat capacity and latent heat

Use specific heat capacity and latent heat to calculate energy for heating and changing state.

Internal energy is the total kinetic and potential energy of the particles in a system. Heating raises the internal energy, either raising the temperature or changing the state. The specific heat capacity, c, is the energy needed to raise the temperature of 1 kg of a substance by 1 °C: ΔE = m c Δθ. Water has a high value, about 4200 J/kg °C.

During a change of state the temperature stays constant even though energy is supplied, because the energy breaks bonds between particles instead of speeding them up. The specific latent heat, L, is the energy needed to change the state of 1 kg without changing temperature: E = m L. Latent heat of fusion is for melting; latent heat of vaporisation is for boiling, and it is much larger.

Worked example

How much energy raises 2 kg of water from 20 °C to 30 °C? (c = 4200 J/kg °C)

  1. ΔE = m c Δθ.
  2. 2 × 4200 × 10.

Answer:ΔE = 84 000 J.

Key words

internal energy
total kinetic and potential energy of particles
specific heat capacity
energy to raise 1 kg by 1 °C
specific latent heat
energy to change the state of 1 kg
fusion
melting (solid to liquid)
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NGSS-referenced: HS-PS3-4