6.28. A Carnot engine/cycle consists of the following reversible process steps between states 1, 2, 3, and 4: 2: adiabatic compression 1 3: isothermal expansion at TH 2 4: adiabatic expansion 1: isothermal compression at Tc 3 4 Assume that the working fluid is an ideal monatomic gas with cv (3/2)kB and (5/2)kB. Prove that the Carnot cycle achieves the maximum efficiency allowed by the second law for a heat engine, max1-Tc/TH Ср

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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This problem is (6.28) from a book  "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

6.28. A Carnot engine/cycle consists of the following reversible process steps between
states 1, 2, 3, and 4:
2: adiabatic compression
1
3: isothermal expansion at TH
2
4: adiabatic expansion
1: isothermal compression at Tc
3
4
Assume that the working fluid is an ideal monatomic gas with cv (3/2)kB and
(5/2)kB. Prove that the Carnot cycle achieves the maximum efficiency
allowed by the second law for a heat engine, max1-Tc/TH
Ср
Transcribed Image Text:6.28. A Carnot engine/cycle consists of the following reversible process steps between states 1, 2, 3, and 4: 2: adiabatic compression 1 3: isothermal expansion at TH 2 4: adiabatic expansion 1: isothermal compression at Tc 3 4 Assume that the working fluid is an ideal monatomic gas with cv (3/2)kB and (5/2)kB. Prove that the Carnot cycle achieves the maximum efficiency allowed by the second law for a heat engine, max1-Tc/TH Ср
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