What Makes the Carnot Cycle the Most Efficient?

In summary, the 1st question is about why the Carnot cycle is the most efficient, while the 2nd question is about whether or not the super-engine is fake.
  • #1
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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  • #2
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What is the Carnot Cycle?

The Carnot cycle is a theoretical thermodynamic cycle that describes the most efficient way to convert heat energy into mechanical work. It consists of four reversible processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression.

What is the difference between the Carnot Cycle and the Otto Cycle?

The Carnot cycle is a theoretical cycle that is used to describe the maximum possible efficiency of a heat engine, while the Otto cycle is a practical cycle that is used in most gasoline engines. The main difference between the two is that the Carnot cycle is a reversible cycle, while the Otto cycle is irreversible due to the combustion process.

What is the efficiency of the Carnot Cycle?

The efficiency of the Carnot cycle is given by the Carnot efficiency formula, which is equal to 1 - (Tc/Th), where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir. This means that the efficiency of the Carnot cycle increases with higher temperature differentials between the two reservoirs.

Why is the Carnot Cycle considered to be the most efficient cycle?

The Carnot cycle is considered to be the most efficient cycle because it is a reversible cycle, meaning that it can be reversed and run in the opposite direction without any loss of efficiency. Additionally, it is based on the fundamental laws of thermodynamics and assumes no friction or other losses, making it a theoretical ideal.

What are the practical applications of the Carnot Cycle?

The Carnot cycle is not used in practical applications as it is a theoretical ideal. However, it serves as a benchmark for the maximum efficiency that can be achieved by real-world heat engines. It also helps in the design and optimization of practical cycles, such as the Otto cycle used in gasoline engines.

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