Solution: Kelvin-Planck Statement & Heat Engine Operation Explained

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SUMMARY

The discussion centers on the operation of a heat engine and its compliance with the Kelvin-Planck statement of the second law of thermodynamics. It is established that a heat engine extracts heat from a hot reservoir and simultaneously rejects heat to a colder reservoir, which aligns with the requirements of the Kelvin-Planck statement. The explanation confirms that the presence of both reservoirs is essential for the operation of a heat engine without violating thermodynamic laws. The conclusion emphasizes the necessity of a cold reservoir in the heat engine cycle.

PREREQUISITES
  • Understanding of the Kelvin-Planck statement in thermodynamics
  • Basic principles of heat engine operation
  • Knowledge of heat transfer between reservoirs
  • Familiarity with the second law of thermodynamics
NEXT STEPS
  • Study the Carnot cycle and its efficiency calculations
  • Explore real-world applications of heat engines
  • Learn about different types of heat engines, such as steam and internal combustion engines
  • Investigate the implications of the second law of thermodynamics in engineering design
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Students of thermodynamics, mechanical engineers, and anyone interested in the principles of heat engine operation and thermodynamic laws.

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Homework Statement



In the operation of a heat engine there is a heat flow out of a reservoir and a mechanical work W is done.Explain why this process does not violate the Kelvin Planck statement of the 2nd law.

Homework Equations


The Attempt at a Solution



My attempts:Please check if I am correct

Because in addition to the hot reservoir from which heat flows into
the system, the heat engine also discards heat into a second colder
reservoir during its cycle. Thus, it uses the second reservoir required
by the Kelvin Planck statement.
 
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