Maximum efficiency = Carnot cycle

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Discussion Overview

The discussion centers around the maximum efficiency of heat engines, specifically focusing on the Carnot cycle and the formula for efficiency, η = 1 - T_c/T_h, where T_c is the temperature of the cold sink and T_h is the temperature of the hot sink. Participants explore the proof of this relationship and the implications of Carnot's theorem.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asks how to prove that the Carnot cycle represents the most efficient engine.
  • Another participant suggests consulting undergraduate textbooks or online resources for proof.
  • A participant questions whether the efficiency of the Carnot cycle can be considered 100%.
  • A different participant asserts that the efficiency of the Carnot cycle cannot be 100%.
  • A participant references an article they contributed to regarding Carnot's theorem.

Areas of Agreement / Disagreement

There is disagreement regarding the interpretation of the Carnot cycle's efficiency, particularly whether it can be considered 100%. Some participants support the idea that it cannot be, while others do not explicitly agree or disagree on the proof of maximum efficiency.

Contextual Notes

Participants do not provide a detailed proof of the efficiency formula, and there are references to external resources without further elaboration on their content.

LTP
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Is it possible to show that the maximum efficiency for a heat engine is given by
[tex]\eta = 1 - \frac{T_c}{T_h}[/tex]
where [tex]T_c[/tex] is the temperature of the cold sink and [tex]T_c[/tex] is the temperature of the warm sink?

In other words: How do I prove that a engine run by a Carnot cycle is the most efficient engine?
 
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can we take the efficiency of carnot cycle as 100%
or
can we say that the efficiency of carnot cycle is 100%?
 

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