Prove that two reversible adiabatic paths can never cross. Assume that the energy of the

Chapter 3, Problem 3.20

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Prove that two reversible adiabatic paths can never cross. Assume that the energy of the system under consideration is a function of temperature only. (Hint. Suppose that two such paths can intersect, and complete a cycle with the two paths plus one isothermal path. Consider the changes accompanying each stage of the cycle and show that they conflict with the Kelvin statement of the Second Law.)

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