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Amount of Heat and Specific Heat Capacity

Physics Grade 8 Difficulty 1/5

Beginning of the lesson

Scientific educational illustration for the physics lesson: Amount of Heat and Specific Heat Capacity.
This illustration highlights the main physical model and observable relationships explored in the lesson.

Amount of Heat and Specific Heat Capacity

How much energy does it really take to warm something up? For different materials, the answer is very different.

Big Idea: When heat transfer changes a body's temperature, the energy that flows is called the amount of heat, symbol Q, measured in joules. How much heat is needed depends on three things: the mass of the body, how much its temperature changes, and a special property of the material called its specific heat capacity. All of this is captured in one tidy formula: Q = cm(t2 − t1).
By the end of this topic you will be able to:
  • say what the amount of heat Q is and in what units it is measured,
  • explain what specific heat capacity c means and read its value from a table,
  • use the formula Q = cm(t2 − t1) to calculate heat, mass, or temperature change,
  • apply the heat balance idea when a hot body and a cold body are mixed,
  • describe how c can be measured in a school laboratory.

1. What is the amount of heat?

In the previous topic you learned that heat can travel from a hotter body to a cooler one by conduction, convection and radiation. When it does, energy moves. The amount of heat is simply how much energy is transferred to a body (or away from it) during heat transfer. We give it the symbol Q.

Because it is a kind of energy, the amount of heat is measured in the same unit as every other energy: the joule (J). Larger amounts are given in kilojoules: 1 kJ = 1000 J.

Careful with words. The amount of heat Q is energy on the move — energy being handed from one body to another. It is not something a body "contains". A body contains internal energy; heat transfer is the process that changes it. When we say "the water received 500 J of heat", we mean 500 J of energy crossed into the water.

If a body gains heat, its temperature usually rises, so we count Q as positive. If a body loses heat and cools down, the same formula gives a negative Q — the minus sign just tells us energy left the body.

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 15
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