Explanation The Figure-(1) shows the power cycle I and a reversible power cycle R . Figure-(1) Here, the heat transfer from the hot reservoir to both the power cycles is Q H , the work done by the reversible cycle is W R , the work done by the irreversible cycle is W I , the heat transfer from the reversible cycle to the cold reservoir is Q C and the heat transfer from the irreversible cycle to the cold reservoir is Q ′ C . The statement of Kelvin Plank’s is, It is impossible to construct a device that operates in a cycle that produces net work output by extracting heat from a single reservoir. Write the analytical form of the Kelvin Plank’s statement for single reservoir with no internal irreversibility is present. W cycle = 0 Here, the work done by the power cycle is W cycle Write the expression for the relation between the work done the both power cycles. W I = 2 3 W R W I < W R Here, the work done by the reversible cycle is W R and the work done by the irreversible cycle is W I . The equivalence of the irreversibility of the power cycle I with Kelvin Plank’s statement is given by first assuming the cycle I to be reversible. If the cycle I is reversible, then the direction of heat and work transfer shown in Figure-(1) by the power cycle I gets reversed

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ISBN: 2818440116926

Author: MORAN

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Chapter 5.11, Problem 6P

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The proof of the irreversibility of the cycle I using Kelvin Plank’s statement.

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Chapter 5.11, Problem 5P

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