Latent Heat
Heat for a phase change at constant temperature.
Formula
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How it works
When a substance changes phase, the energy added or removed goes into rearranging intermolecular bonds rather than changing the particles’ average kinetic energy. That is why the temperature stays constant during melting, boiling, freezing, or condensation, and why the heat transfer is given by Q = mL. Here, L is the amount of energy needed per unit mass for a specific phase change, so multiplying by the mass gives the total heat involved.
When to use it
Use this formula whenever a problem involves melting, freezing, boiling, condensing, or any other phase change with no temperature change. It is especially useful in calorimetry, heating-curve questions, and energy calculations for materials such as ice, steam, or refrigerants.
Worked example, step by step
A 0.75 kg block of ice melts completely at 0°C. The latent heat of fusion of ice is 334,000 J/kg. Step 1: Identify the formula: Q = mL Step 2: Substitute the values: Q = 0.75 × 334,000 Step 3: Multiply: Q = 250,500 J Step 4: State the result: The ice absorbs 250,500 J of heat, or about 2.51 × 10^5 J.
Common mistakes to avoid
- Using a temperature change formula instead of a latent heat formula during a phase change
- Mixing up the latent heat value for fusion, vaporization, or condensation
- Forgetting to convert mass into kilograms when L is given in J/kg
Did You Know?
Sweating cools you because evaporating water absorbs huge latent heat without any change in temperature.
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