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Specific heat capacity — Physics, 14–17 years

Different materials need different amounts of energy to warm up. Specific heat capacity lets us predict that change and choose materials for heating, cooling and thermal protection.

What it measures

Specific heat capacity tells us how much energy is needed to raise the temperature of 1 kilogram of a material by 1 °C. A high value means the material warms slowly for the same energy input; a low value means it warms more easily. Water has a notably high value.

Why materials heat differently

A metal spoon and a pan of water can receive energy from the same flame but change temperature at different rates. Engineers needed a way to predict this instead of relying on trial and error. Specific heat capacity solves that problem by connecting energy supplied, mass and temperature change.

Heating water

How much energy heats 2 kg of water by 10 °C? Use Q = mcΔT, with c = 4200 J/(kg °C). Substitute: Q = 2 × 4200 × 10 = 84,000 J. So the water needs 84 kJ, assuming no energy escapes to the surroundings.

Temperature is not energy

A common mistake is to think that the hotter object contains more thermal energy. It may have a higher temperature, but energy also depends on the amount of material and its specific heat capacity. A large warm bath can contain more thermal energy than a tiny hot cup.

Thermal design

Water’s high specific heat capacity helps seas and lakes change temperature slowly, which affects nearby climates. The same idea guides car cooling systems, cooking pans and thermal storage tanks. Designers choose a high or low value depending on whether they want to absorb heat or change temperature quickly.

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