Applying the Entropy Balance: Closed SystemsA

Chapter 6, Problem 75P

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QUESTION:

A thermodynamic power cycle receives energy by heat transfer from an incompressible body of mass m and specific heat c initially at temperature \(T_{\mathrm{H}}\). The cycle discharges energy by heat transfer to another incompressible body of mass m and specific heat c initially at a lower temperature \(T_{\mathrm{C}}\). There are no other heat transfers. Work is developed by the cycle until the temperature of each of the two bodies is the same. Develop an expression for the maximum theoretical amount of work that can be developed, \(W_{\max }\), in terms of m, c, \(T_{\mathrm{H}}\), and \(T_{\mathrm{C}}\).

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QUESTION:

A thermodynamic power cycle receives energy by heat transfer from an incompressible body of mass m and specific heat c initially at temperature \(T_{\mathrm{H}}\). The cycle discharges energy by heat transfer to another incompressible body of mass m and specific heat c initially at a lower temperature \(T_{\mathrm{C}}\). There are no other heat transfers. Work is developed by the cycle until the temperature of each of the two bodies is the same. Develop an expression for the maximum theoretical amount of work that can be developed, \(W_{\max }\), in terms of m, c, \(T_{\mathrm{H}}\), and \(T_{\mathrm{C}}\).

ANSWER:

Solution 75P

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To find the expression for maximum theoretical amount of work in terms of

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