Explanation Write the expression for the clausius inequality. ∮ δ Q T = − σ c y c l e (I) Here, the heat trasfered from the reservoir is Q , temperature of the reservoir is T and strength of the inequality for a cycle is σ c y c l e . Simplify the Equation (I) for refrigerator. Q H T H − Q C T C = ( − σ c y c l e ) a (II) Here, heat received from hot reservoir is Q H , heat rejecred to the cold reservoir is Q C , the temperature of the hot reservoir is T H , the temperaure of the cold reservoir is T C and the strength of the inequality for the cycle is ( σ c y c l e ) a . In case a cycle have 0 power input in the cycle;.the heat received from hot reservoir and heat rejected to the cold resrevoir in the cycle should be equal. Q H = Q C Write the expression of the clausius inequality for a refrigerator cycle with 0 power input in the cycle. Q C T H − Q C T C = ( − σ c y c l e ) b (III) Here, the strength of inequality of the cycle with 0 power input is ( σ c y c l e ) b . Write the expression for the heat rejected to the hot reservoir. Q H = W c y c l e + Q C (IV) Here, the power input to the cycle is W c y c l e . Conclusion: Substitute 3200 kJ / hr for W c y c l e and 8000 kJ / hr for Q C in the Equation (IV). Q H = ( 3200 kJ / hr ) + ( 8000 kJ / hr ) = ( 3200 + 8000 ) kJ / hr = 11200 kJ / hr Substitute 11200 kJ / hr for Q H , 8000 kJ / hr for Q C , 295 K for T H and 268 K for T C in the Equation (II)

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 5.11, Problem 86P

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Whether the operation of the refrigerator is reversible, irreversible or impossible.

Whether the operation of the refrigerator is reversible, irreversible or impossible when there is no power input in the cycle.

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Chapter 5.11, Problem 85P

Chapter 5.11, Problem 87P

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Whether the operation of the refrigerator is reversible, irreversible or impossible. Whether the operation of the refrigerator is reversible, irreversible or impossible when there is no power input in the cycle.