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Engineering and Tech / Fundamentals of Engineering Thermodynamics 8 / Chapter 5 / Problem 5.1

Fundamentals of Engineering Thermodynamics | 8th Edition | ISBN: 9781118412930 | Authors: Michael J. Moran

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Complete the demonstration of the equivalence of the

Chapter 5, Problem 5.1

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QUESTION:

Complete the demonstration of the equivalence of the Clausius and Kelvin–Planck statements of the second law given in Sec. 5.2.2 by showing that a violation of the Kelvin–Planck statement implies a violation of the Clausius statement.

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QUESTION:

Complete the demonstration of the equivalence of the Clausius and Kelvin–Planck statements of the second law given in Sec. 5.2.2 by showing that a violation of the Kelvin–Planck statement implies a violation of the Clausius statement.

ANSWER:

Step 1 of 3

First of all we have to define the Kelvin-Planck statement of the second law and the Clausius statement of the second law of thermodynamics. According to the first Kelvin-Planck statement, the work from any thermodynamic process can not be produced if the process is thermally connected to a single reservoir (heat source). Therefore, if we want to violate the Kelvin-Planck statement, we have to write the equation as:

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