15.5 Applications of Thermodynamics: Heat Pumps and Refrigerators

3 min readjune 18, 2024

powers our everyday comfort. Heat engines, pumps, and refrigerators move heat between reservoirs, keeping us cozy or cool. These devices rely on a that changes phases, enhancing efficiency.

Heat pumps and refrigerators share similarities but serve different purposes. They both use work input to move heat from cold to hot areas. Efficiency is measured by the , crucial for energy savings and environmental impact.

Applications of Thermodynamics

Heat engines in pumps and refrigerators

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  • Heat engines, heat pumps, and refrigerators operate based on thermodynamic principles involving heat transfer from one reservoir to another
  • Work is done to move heat from a colder to a hotter reservoir, essentially reversing the natural flow of heat
  • Main components include:
    • raises temperature and pressure of refrigerant by compressing it
    • releases heat from compressed refrigerant to surrounding environment
    • reduces pressure and temperature of refrigerant
    • absorbs heat from interior or space being heated by
  • The refrigerant undergoes phase changes throughout this cycle, enhancing heat transfer efficiency

Heat pump warming process

  • Heat pump extracts heat from colder outdoor environment and transfers it to warmer indoor space through following steps:
  1. Refrigerant absorbs heat from outdoor environment in evaporator, converting from liquid to gas
  2. Compressor compresses gaseous refrigerant, increasing temperature and pressure
  3. Hot, compressed refrigerant releases heat in condenser, warming indoor space
  4. Refrigerant passes through expansion valve, reducing pressure and temperature, and cycle repeats
  • Some heat pumps can operate in reverse to cool indoor spaces in colder weather (air conditioning)

Heat pumps vs refrigerators

  • Similarities:
    • Both use thermodynamic principles to transfer heat from colder to hotter reservoir
    • Both employ refrigerant that undergoes phase changes during process
    • Both require work input, usually in form of electricity, to operate
  • Differences:
    • Purpose: Heat pumps warm indoor spaces, refrigerators cool interior and preserve food
    • Heat transfer direction: Heat pumps transfer heat from colder outdoor environment to warmer indoor space, refrigerators remove heat from interior and release to surrounding room
    • Reversibility: Some heat pumps can provide cooling, refrigerators typically only operate in one direction

Coefficient of performance for heat pumps

  • measures efficiency of heat pump as ratio of heat transferred to work input:
    • COP=QHWCOP = \frac{Q_H}{W}
    • QHQ_H is heat transferred to hot reservoir (indoor space)
    • WW is work input (usually electrical energy)
  • Higher COP indicates more efficient heat pump
  • To calculate COP:
  1. Determine amount of heat transferred to indoor space (QHQ_H)
  2. Determine work input (WW) required to operate heat pump
  3. Divide QHQ_H by WW to find COP
  • Example: Heat pump transfers 10,000 J of heat to indoor space and requires 2,000 J of work input
    • COP=10,000J2,000J=5COP = \frac{10,000 J}{2,000 J} = 5
  • is a key consideration in heat pump and refrigerator design, as it affects both operating costs and environmental impact

Thermodynamic Principles in Heat Pumps and Refrigerators

  • Thermodynamics governs the behavior of heat and energy transfer in these systems
  • The explains why work input is necessary for heat to flow from a cold to a hot reservoir
  • Ideally, these systems would operate as a , but in reality, there are always some irreversibilities that reduce efficiency

Key Terms to Review (34)

Absorption Refrigerator: An absorption refrigerator is a type of refrigeration system that uses heat energy, rather than mechanical energy, to provide the cooling effect. It operates on the principle of evaporation and condensation of a refrigerant to remove heat from the refrigerated space and transfer it to the environment.
Adiabatic compression: Adiabatic compression is a thermodynamic process in which the pressure of a gas increases while its volume decreases, without any heat exchange with the environment. This process is crucial for understanding how heat engines operate and how they adhere to the principles of energy conservation. In this context, it illustrates the efficiency and limitations of engines and devices that rely on temperature changes for their operation.
Change in entropy: Change in entropy is the measure of the disorder or randomness in a system as it undergoes a process. It quantifies the energy dispersal and unavailability for doing work.
Coefficient of performance: Coefficient of performance (COP) is the ratio of useful heating or cooling provided to work required in heat pumps and refrigerators. It measures the efficiency of these devices.
Coefficient of Performance: The coefficient of performance (COP) is a measure of the efficiency of a heat pump or refrigeration system. It represents the ratio of the useful heating or cooling output to the energy input required to operate the system.
Coefficient of Performance (COP): The coefficient of performance (COP) is a measure of the efficiency of a heat pump or refrigerator. It represents the ratio of the useful heating or cooling output to the energy input required to operate the device, providing a quantitative assessment of its performance and energy efficiency.
Compressor: A compressor is a mechanical device that increases the pressure of a gas by reducing its volume. It plays a crucial role in the operation of heat pumps and refrigerators by facilitating the transfer of heat through compression and expansion of refrigerant gases, enabling efficient heating and cooling cycles.
Condenser: A condenser is a device used in heat pump and refrigeration systems to remove heat from a working fluid, typically a refrigerant, by transferring that heat to a secondary fluid, usually air or water. It is a crucial component in these applications of thermodynamics, as it helps maintain the temperature and pressure differential required for the system to function efficiently.
Energy Efficiency: Energy efficiency refers to the ability to accomplish a desired task or function with the minimum amount of energy input. It is a measure of how effectively energy is utilized to achieve a specific outcome, rather than wasted or lost in the process.
Enthalpy: Enthalpy is a measure of the total energy of a thermodynamic system, including its internal energy and the work done by or on the system as a result of changes in pressure and volume. It represents the sum of a system's internal energy and the work done on the system by its surroundings or the work done by the system on its surroundings.
Entropy: Entropy is a measure of the disorder or randomness in a system. It represents the unavailability of a system's energy to do useful work and the natural tendency of the universe towards increased disorder and chaos. This concept is central to the understanding of thermodynamics and the second law of thermodynamics, which governs the flow of energy and heat in physical systems.
Evaporator: An evaporator is a critical component in heat pump and refrigeration systems that facilitates the transfer of heat from a low-temperature source to a higher-temperature sink. It is responsible for absorbing heat from the surrounding environment, enabling the cooling or refrigeration process to occur.
Expansion Valve: An expansion valve is a crucial component in refrigeration and heat pump systems that regulates the flow of refrigerant into the evaporator. By allowing the refrigerant to expand and decrease in pressure, it facilitates the cooling process by lowering the refrigerant's temperature before it enters the evaporator. This process is essential for efficient heat transfer, making the expansion valve a key player in both cooling and heating applications.
First Law of Thermodynamics: The first law of thermodynamics states that energy can be converted from one form to another, but it cannot be created or destroyed. It is a fundamental principle that describes the relationship between energy, work, and heat in a system.
Geothermal Heat Pump: A geothermal heat pump is a highly efficient heating and cooling system that utilizes the Earth's natural heat to provide warmth in the winter and cool air in the summer. It operates by transferring thermal energy between the ground or a nearby water source and a building's interior, making it an eco-friendly and energy-efficient alternative to traditional HVAC systems.
Heat Pump: A heat pump is a device that transfers thermal energy from a colder region to a hotter region, using mechanical work or a refrigeration cycle. It is a crucial component in applications such as heating, cooling, and refrigeration, playing a vital role in the efficient utilization of energy resources.
Heat pump’s coefficient of performance: Heat pump’s coefficient of performance (COP) is a measure of its efficiency, defined as the ratio of heat output to the work input. Higher COP values indicate more efficient heat pumps.
Heat transfer: Heat transfer refers to the movement of thermal energy from one object or substance to another due to a temperature difference. This process occurs in three main ways: conduction, convection, and radiation, and is essential for understanding temperature changes and the efficiency of heat-related systems, such as heat pumps and refrigerators.
Irreversible process: An irreversible process is a thermodynamic process that cannot return both the system and the surroundings to their original states. Irreversibility often results from factors like friction, unrestrained expansion, or heat transfer through a finite temperature difference.
Isobaric Expansion: Isobaric expansion is a thermodynamic process in which a system undergoes a change in volume while maintaining a constant pressure. This process is particularly relevant in the context of heat pumps and refrigerators, as it describes the behavior of the working fluid as it undergoes changes in the system.
Joule: A joule is the SI unit of work or energy, equivalent to one newton-meter. It measures the amount of work done when a force of one newton displaces an object by one meter in the direction of the force.
Joule: The joule (J) is the standard unit of energy in the International System of Units (SI). It represents the amount of work done or energy expended when a force of one newton acts through a distance of one meter. The joule is a fundamental unit that connects various topics in physics, from work and energy to thermodynamics and electricity.
Phase Change: A phase change is the transition of a substance from one physical state or phase to another, such as the transformation between solid, liquid, and gas. These changes occur due to the addition or removal of energy, which affects the arrangement and motion of the substance's molecules.
Refrigerant: A refrigerant is a substance used in heat pumps and refrigerators to facilitate the transfer of heat from one area to another. It is a key component in the refrigeration cycle, allowing these devices to cool and maintain lower temperatures compared to the surrounding environment.
Refrigerator: A refrigerator is a device that removes heat from a designated area to lower its temperature, commonly used to preserve food by keeping it cool. This process relies on the principles of thermodynamics, particularly the transfer of heat through the refrigeration cycle, where a refrigerant absorbs and expels heat. The efficiency of a refrigerator is often evaluated in terms of its coefficient of performance, which relates to its function as a heat pump and the concept of energy conservation.
Reversible Process: A reversible process is a thermodynamic process that can be reversed without leaving any trace on the surroundings. In a reversible process, the system and the surroundings can be restored to their initial states without the expenditure of any work or the absorption of any heat from external sources.
Rudolf Clausius: Rudolf Clausius was a German physicist and mathematician known for formulating the second law of thermodynamics and introducing the concept of entropy. His work laid the foundation for understanding heat transfer processes, particularly in the context of heat pumps and refrigerators, which are devices that move heat against its natural flow. Clausius's ideas emphasize the directionality of heat transfer and how energy transformations are limited by inherent inefficiencies in thermodynamic systems.
Sadi Carnot: Sadi Carnot was a French physicist and engineer known as the father of thermodynamics, particularly for his foundational work on the principles of heat engines and efficiency. His ideas laid the groundwork for understanding how heat can be transformed into work and introduced the concept of an idealized engine, known as the Carnot engine, which operates in a reversible cycle between two heat reservoirs. This theoretical framework is crucial for analyzing real-world heat engines and their efficiencies.
Second law of thermodynamics: The second law of thermodynamics states that the total entropy of an isolated system can never decrease over time. It implies that natural processes tend to move towards a state of maximum disorder or entropy.
Second Law of Thermodynamics: The Second Law of Thermodynamics is a fundamental principle that describes the natural tendency of energy to become less organized and more disordered over time. It establishes limits on the efficiency of energy conversion processes and the direction of heat transfer, with important implications for the operation of heat engines, heat pumps, and the overall entropy of the universe.
SEER: SEER, or Seasonal Energy Efficiency Ratio, is a measure of the cooling efficiency of air conditioning and heat pump equipment. It is used to evaluate the performance of these systems in the context of heating and cooling applications, particularly in relation to energy consumption and environmental impact.
Thermal reservoir: A thermal reservoir is a large body of matter that can absorb or supply heat without undergoing a significant change in temperature. These reservoirs play a crucial role in heat transfer processes, allowing systems such as heat pumps and refrigerators to operate efficiently by providing a source or sink for thermal energy.
Thermodynamics: Thermodynamics is the branch of physics that deals with the relationships between heat, work, temperature, and energy. It explores how energy is transformed and transferred within physical systems, governing the principles that dictate the behavior of matter in various states. The laws of thermodynamics play a crucial role in understanding how energy flows and changes form, influencing everything from engines to biological processes.
Vapor-Compression Cycle: The vapor-compression cycle is a refrigeration cycle that is widely used in heat pumps and refrigerators to transfer heat from a colder to a warmer area. It is a fundamental process in these applications that allows for the efficient cooling and heating of spaces or the preservation of perishable goods.
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