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AQA Combined Science (8464) 6.1.1.3 · Quantitative

Energy changes in systems

View the full equation sheetAQA · Combined Science: Trilogy and Synergy (8464/8465) · June 2026 · PDF

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You heat the same mass of water and of aluminium with the same heater.

If you had to guess, which one warms up faster?

Key words

  • specific heat capacity
  • thermal energy
  • temperature change

Key knowledge

The specific heat capacity of a substance is the amount of energy required to raise the temperature of one kilogram of the substance by one degree Celsius.

change in thermal energy = mass × specific heat capacity × temperature change

ΔE = m c Δθ

  • change in thermal energy, ΔE, in joules (J)
  • mass, m, in kilograms (kg)
  • specific heat capacity, c, in joules per kilogram per degree Celsius (J/kg °C)
  • temperature change, Δθ, in degrees Celsius (°C)

This equation is on the equation sheet.

  • Measure the mass of the block.
  • Put a heater and a thermometer in the block and wrap it in insulation.
  • Record the starting temperature.
  • Switch on the heater. Measure the energy transferred with a joulemeter, or use power × time.
  • Record the final temperature and work out the temperature change.
  • Use c = ΔE ÷ (m × Δθ) to find the specific heat capacity.

Some energy is dissipated to the surroundings. This makes the measured value higher than the true value. Insulating the block reduces this.

  • Wrong: Using the final temperature as Δθ.

    Right: Δθ is final temperature minus starting temperature.

  • Wrong: Putting a mass in grams into the equation.

    Right: Convert to kilograms first. Divide by 1000.

Key fact

The specific heat capacity of a substance is the energy required to raise the temperature of 1 kg of it by 1 °C. Change in thermal energy = mass × specific heat capacity × temperature change.

Water has a high specific heat capacity of 4200 J/kg °C.

Each kilogram carries a lot of energy for each degree it cools.

  • Calculate: work out a number and show each line.
  • Describe: give the steps of a method in order.
  • Explain: say what happens and why.

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