Max Efficiency of a Carnot Engine vs Other Engines

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SUMMARY

The Carnot engine represents the theoretical maximum efficiency of heat engines, defined by the formula 1 - (T_cold / T_hot), where T_cold and T_hot are the absolute temperatures of the cold and hot reservoirs, respectively. Unlike real engines, which operate at efficiencies less than or equal to this maximum, the Carnot engine is a reversible heat engine, making it an idealized model. This concept is foundational in thermodynamics and is encapsulated in Carnot's theorem, which asserts that no engine operating between two heat reservoirs can be more efficient than a Carnot engine.

PREREQUISITES
  • Understanding of thermodynamic principles
  • Familiarity with heat engines and their operation
  • Knowledge of the Carnot theorem
  • Basic grasp of temperature scales (Kelvin)
NEXT STEPS
  • Study the laws of thermodynamics in detail
  • Explore real-world applications of Carnot engines
  • Learn about other types of heat engines, such as Otto and Diesel engines
  • Investigate the concept of reversible processes in thermodynamics
USEFUL FOR

Students of physics, engineers specializing in thermodynamics, and anyone interested in the principles of heat engine efficiency.

cos(e)
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quick question, is the difference between a carnot engine to an engine is that the engines eff is less than or equal 1-(cold temp / hot temp), and the carnot is the max of this which is just equal 1-(cold temp / hot temp)?
 
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cos(e) said:
quick question, is the difference between a carnot engine to an engine is that the engines eff is less than or equal 1-(cold temp / hot temp), and the carnot is the max of this which is just equal 1-(cold temp / hot temp)?
That's about it. This idea is the basis of Carnot's theorem.

A Carnot engine is essentially a reversible heat engine and since there are no truly reversible heat engines, it therefore follows that a Carnot engine represents the maximum efficiency achievable.
 
thanks
 

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