The reversed Carnot cycle is used as a basis for which of the following?

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  1. Heat engines 
  2. Steam turbines
  3. Refrigerators and heat pumps 
  4. Internal combustion engines

Answer (Detailed Solution Below)

Option 3 : Refrigerators and heat pumps 
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Explanation:

The Reversed Carnot Cycle:

  • The reversed Carnot cycle is a theoretical thermodynamic cycle that forms the basis for understanding the operation of refrigerators and heat pumps. This cycle is essentially the Carnot cycle operating in reverse. While the Carnot cycle describes the most efficient process for converting heat into work (as used in heat engines), the reversed Carnot cycle describes the most efficient process for transferring heat from a colder area to a hotter area using work input, which is the principle behind refrigeration and heat pumping systems.

In a reversed Carnot cycle, the main goal is to transfer heat from a low-temperature reservoir to a high-temperature reservoir. The cycle consists of four thermodynamic processes:

  1. Isentropic Compression: In this process, the working fluid (often a refrigerant) is compressed isentropically, meaning there is no change in entropy. This compression increases the temperature and pressure of the fluid.
  2. Isothermal Heat Rejection: The working fluid, now at a higher temperature, releases heat to the high-temperature reservoir (e.g., the surrounding environment). This process occurs at a constant temperature.
  3. Isentropic Expansion: The fluid undergoes isentropic expansion, reducing its pressure and temperature. This process prepares the fluid for absorbing heat in the next step.
  4. Isothermal Heat Absorption: Finally, the working fluid absorbs heat from the low-temperature reservoir (e.g., the space to be cooled). This process also occurs at a constant temperature.

The reversed Carnot cycle is idealized and assumes no irreversibilities, which means it represents the maximum possible efficiency for any refrigeration or heat pump system. Real-world systems, such as vapor-compression refrigeration cycles, are modeled on the reversed Carnot cycle but include inefficiencies like friction, pressure drops, and non-ideal gas behavior.

Applications:

The reversed Carnot cycle is the theoretical foundation for:

  • Refrigerators: Devices that transfer heat from the interior of a refrigerator (low temperature) to the surrounding environment (high temperature) to maintain a cool interior.
  • Heat Pumps: Systems that transfer heat from a cold source (e.g., the ground or air in winter) to a warm space (e.g., the interior of a building) for heating purposes.

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