Does efficiency always depend on reversibility of the engine?

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Discussion Overview

The discussion revolves around the efficiency of thermal engines, particularly focusing on the impact of reversibility on efficiency in the context of isochoric and isobaric processes. Participants explore the implications of Carnot's theorem and the definitions of efficiency in various scenarios involving reversible and irreversible processes.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether the efficiency of a thermal engine changes between reversible and irreversible processes, suggesting that heat transfer depends only on temperature changes.
  • Another participant emphasizes that Carnot's theorem implies that no engine can exceed the efficiency of a Carnot engine operating between the same temperatures, and that the efficiency of reversible engines is generally greater than that of irreversible engines.
  • A participant raises a concern about calculating efficiency for engines with isotherms connected by isobars or isochors, noting discrepancies with Carnot efficiency unless certain conditions are met.
  • One participant claims to have calculated the efficiency of a reversible engine with two isochores and found it matches the Carnot efficiency.
  • Several participants discuss the definition of efficiency, with some arguing that heat entering the system should be considered in the calculation, while others suggest that certain heat transfers can be ignored.
  • There is a discussion about the definition and implementation of adiabatic isobaric processes, with differing opinions on whether certain expansions can be classified as irreversible.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between reversibility and efficiency, with no consensus reached. Some argue that efficiency is independent of reversibility under certain conditions, while others maintain that reversibility is crucial for achieving maximum efficiency as stated by Carnot's theorem.

Contextual Notes

Participants highlight limitations in their understanding of efficiency definitions and the implications of heat transfer in various processes. There are unresolved mathematical steps and assumptions regarding the treatment of heat entering and leaving the system.

  • #31
So you can't neglect the isochoric leg on the left in Chandra's drawing after all.
 
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  • #32
Philip Koeck said:
So you can't neglect the isochoric leg on the left in Chandra's drawing after all.
Well, I would, but that's just my own personal judgment call.
 
  • #34
Hi again.
I got a paper via another discussion forum (Research Gate). I don't seem to be able to upload it, though. It's the following paper:
A Simple Approach to Heat Engine Efficiency
Carl Salter (2000)
Journal of Chemical Education 77(8), pp. 1027 -1030

Highly recommended reading. Might help to resolve the controversy in the literature on how to calculate efficiencies.
 

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