11.2.12 Reversed Heat Engines

• A reversed heat engine is one that transfers heat energy from a cold space (sink, at a low temperature) to a hot space (source, at a higher temperature) by inputting work
  • Work needs to be done because heat energy naturally flows from a warmer to a colder space (like in heat engines)
• Reversed heat engines are used for:
  • Refrigerators or air-conditioning
  • Heat pumps (an engine used to heat a building)
• The source-sink diagram looks like this:

Source-sink diagram for a reversed heat engine, notice the direction of all arrows are reversed from the normal source-sink diagram

• Where:
  • Q_C = energy extracted from the cold space (J)
  • Q_H = energy delivered to the hot space (J)
  • W = work inputted (J)
• Q_H is sometimes referred to as Q_out and Q_C as Q_in
• Q_H will always be greater than Q_C for this to work
• Applying the First Law of Thermodynamics means that:

• Efficiency is not calculated the same way as a heat engine, because its effectiveness depends on the device and its function
• A refrigerator extracts as much energy as possible from the cold space per joule of work done
  • A refrigerator wants to stay cold, so it is taking the heat out of the system
  • The inside of the fridge is the cold space and the outside is the hot space
• A heat pump (e.g. to heat a house) provides as much energy as possible to the hot space per joule of work done
  • A heat pump wants to make a room warm, so it puts heat into the system
  • The outside of the house is the cold space and the inside is the hot space
• They are both identical in principle, and it is possible to use one to fulfil the function of the other, but it wouldn't work as well
  • This is because a domestic refrigerator keeps the contents inside it cool, but simultaneously acts as a heater, as it warms up the room it is placed in