GCSE

Physics

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  1. Introduction to GCSE Physics (AQA)
  2. 1. Energy

  3. 1.1 Energy Stores, Transfers and Power
  4. 1.2 Conservation and Dissipation of Energy
  5. 1.3 National and Global Energy Resources
  6. 2. Electricity
  7. 2.1 Current, Potential Difference and Resistance
  8. 2.2 Series and Parallel Circuits
  9. 2.3 Domestic Uses and Safety
  10. 2.4 Energy Transfers
  11. 2.5 Static Electricity
  12. 3. Particle Model of Matter
  13. 3.1 Changes of State and the Particle Model
  14. 3.2 Internal Energy and Energy Transfers
  15. 3.3 Particle Model and Pressure
  16. 4. Atomic Structure
  17. 4.1 Atoms and Isotopes
  18. 4.2 Atoms and Nuclear Radiation
  19. 4.3 Hazards and Uses of Radioactive Emissions and of Background Radiation
  20. 4.4 Nuclear Fission and Fusion
  21. 5. Forces
  22. 5.1 Forces and their Interactions
  23. 5.2 Work Done and Energy Transfer
  24. 5.3 Forces and Elasticity
  25. 5.4 Moments, Levers and Gears
  26. 5.5 Pressure and Pressure Differences in Fluids
  27. 5.6 Forces and Motion
  28. 5.7 Momentum [HT]
  29. 6. Waves
  30. 6.1 Waves in Air, Fluids and Solids
  31. 6.2 Electromagnetic Waves
  32. 6.3 Black Body Radiation
  33. 7. Magnetism and Electromagnetism
  34. 7.1 Permanent and Induced Magnetism, Magnetic Forces and Fields
  35. 7.2 The Motor Effect
  36. 7.3 Induced Potential, Transformers and the National Grid [HT]
  37. 8. Space Physics
  38. 8.1 Solar System; Stability of Orbital Motions; Satellites
  39. 8.2 Red-Shift
  40. 9. Practical Activities
  41. 9.1 Required Practicals
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In this lesson, you will learn what specific heat capacity is, how it affects how substances and materials heat and cool down, and how knowing the specific heat capacity of a material allows us to calculate how much energy the material has gained or lost (or the change in energy) when heated up or cooled down.

What is Specific Heat Capacity?

Some materials or substances are more difficult to heat up than others. Remember that heating is the transfer of energy from one object’s thermal energy stores to another object’s thermal energy stores. The reason some objects are harder to heat up than others is because some materials need more energy transferred into their thermal energy stores to go up in temperature than others.

For example, the energy needed to increase the temperature of 1 kg of water by 1 °C is 4,200 J, while the energy needed to increase the temperature of 1 kg of mercury by 1 °C is only 140 J.

Figure 12. The same quantity of water and mercury being heated up. To increase both substances’ temperature by the same amount, the water needs to be heated up more as it has a larger specific heat capacity.

The energy required to increase the temperature of 1 kg of any substance by 1 °C is called the specific heat capacity. In the water and mercury example, you found out that water has a specific heat capacity of 4,200 J and mercury has a specific heat capacity of 140 J.

The greater the specific heat capacity of a material, the more energy needs to be transferred to the material for it to go up in temperature. Also, the greater the specific heat capacity of a material, the more energy the material will release when it cools down, since it stored more energy when it was being heated up. One way of thinking about it is that materials with with a larger specific heat capacity can store more energy.

Calculating Specific Heat Capacity

A useful thing that knowing the specific heat capacity of a material lets us work out is how much energy the material has gained when heated up or lost when cooled down. We can calculate this amount of energy stored in or released from a system as its temperature changes using Equation 5 shown below.

\(\Delta E=mc\Delta \theta\)

or

\( \text{change in thermal energy} = \text{mass}\times\text{specific heat capacity}\times\text{temperature change}\)

Equation 5. The formula for calculating the change in thermal energy of a material when its temperature is changed.

The formula for the change in thermal energy as the temperature of a material changes has four components:

  1. \(\Delta E\) is the change in thermal energy of the material or substance. This change can either be an increase or a decrease in energy. \(\Delta E\) has units of joules (J).
  2. \(m\) is the mass of the material or substance. \(m\) must always have units of kilograms (kg) when used in this formula.
  3. \(c\) is the specific heat capacity of the material or substance. \(c\) has units of joules per kilogram per degree Celsius (J/kg °C).
  4. \(\Delta \theta\) is the change in temperature of the material or substance. This change can either be an increase or a decrease in temperature. \(\Delta \theta\) has units of degrees Celsius (°C).

Note

The symbol delta (\(\Delta \)), for example in \(\Delta E\) or \(\Delta \theta \), just means change.

Key