What Makes the Carnot Cycle the Most Efficient?

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SUMMARY

The Carnot Cycle is established as the most efficient thermodynamic cycle due to its inherent reversibility and the isothermal processes it employs. Unlike the Otto cycle, which can operate in a reversible manner, the Carnot Cycle maximizes efficiency by maintaining equilibrium during heat exchanges. The discussion highlights that any deviation from this ideal reversibility, such as in less efficient cycles, leads to increased entropy and energy loss, confirming the Carnot Cycle's superiority. Furthermore, the concept of a "super-engine" is dismissed as it contradicts the second law of thermodynamics, reinforcing the Carnot Cycle's status as the benchmark for efficiency.

PREREQUISITES
  • Understanding of thermodynamic cycles, specifically the Carnot and Otto cycles.
  • Familiarity with concepts of reversibility and entropy in thermodynamics.
  • Knowledge of isothermal and adiabatic processes.
  • Basic grasp of the laws of thermodynamics, particularly the second law.
NEXT STEPS
  • Study the principles of thermodynamic reversibility in detail.
  • Explore the differences between the Carnot Cycle and Otto Cycle in practical applications.
  • Investigate the implications of the second law of thermodynamics on engine efficiency.
  • Learn about real-world applications of Carnot Cycle principles in refrigeration and heat engines.
USEFUL FOR

Students and professionals in mechanical engineering, thermodynamics researchers, and anyone interested in optimizing engine efficiency and understanding thermodynamic principles.

Billy.Ljm
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I have 2 questions, which are related, and was hoping someone could help me clear things up.

otto_pv.gif

First question, isn't the Otto cycle reversible and usable as a refrigerator? Referring to the diagram above & let me go part by part.
AD: Assume the corresponding part of the working substance is colder than the cold reservoir, heat would flow from the cold reservoir into the working substance, no thermodynamics law broken.
DC: The working substance then undergoes adiabatic/isentropic compression and it temperature rises, no laws forbidding that either.
CB: It then seems possible that the working substance was heated, in the previous step, to a temperature higher than the hot reservoir, and thus heat would flow from the working substance to the hot reservoir.
BA: Adiabatic/isentropic expansion. Similar to DC.

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Now comes the next question, what makes the Carnot Cycle the most efficient cycle. I've googled 2 explanations for it but still can't understand either.

The 1st explanation is its reversible, or at least as reversible as possible while still able to do work, thus the isothermal processes. However, why does reversibility/equilibrium-ity make it the most efficient. And also from the 1st question, isn't the Otto cycle reversible too?

The 2nd explanation is by contradiction. A super-engine and a Carnot cycle fridge would output work, while the working substance and the system in general is returned to its original state. This breaks the laws and would supposedly prove that the super-engine cannot exist. However, consider a Carnot cycle engine and a less efficient fridge (like say a Otto cycle fridge from the 1st question). The same thing would happen. Does this mean that the super-engine or Carnot cycle engine is fake? Or more likely that the less efficient fridge or Carnot Cycle fridge is not the most efficient.
 
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