To determine The minimum temperature required at the turbine inlet and thermal efficiency of the cycle. Explanation Given: Pressure of water at the condenser ( P 1 ) is 5 psia . Pressure of water at the boiler ( P 3 ) is 2500 psia . Quality of steam at state 4 ( x 4 ) is 0.80 . Calculation: Draw the T − s diagram of the cycle as in Figure (1). The pressures are constant for the process 2 to 3 and process 4 to 1. P 2 = P 3 P 4 = P 1 The entropies are constant for the process 1 to 2 and process 3 to 4. s 1 = s 2 s 3 = s 4 Refer Table A-5E, “Saturated water-Pressure table”, obtain the enthalpy and specific volume at state 1 corresponding to the pressure of 5 psia . h 1 = h f @ 5 psia = 130.18 Btu / lbm v 1 = v f @ 5 psia = 0.01641 ft 3 / lbm Refer Table A-5E, “Saturated water-Pressure table”, obtain the following properties at state 1 corresponding to the pressure of 5 psia . h f = 130.18 Btu / lbm h f g = 1000.5 Btu / lbm s f = 0.23488 Btu / lbm ⋅ R s f g = 1.60894 Btu / lbm ⋅ R Calculate the work done by the pump during process 1-2 ( w p,in ) . w p,in = v 1 ( P 2 − P 1 ) = ( 0.01641 ft 3 / lbm ) ( 2500 psia − 5 psia ) = ( 0.01641 ft 3 / lbm ) ( 2500 psia − 5 psia ) ( 1 Btu 5.404 psia ⋅ ft 3 ) = 7.58 Btu / lbm Calculate the enthalpy at state 2 ( h 2 ) . h 2 = h 1 + w p,in = 130.18 Btu / lbm + 7.58 Btu / lbm = 137

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ISBN: 9780078027680

Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala

Publisher: McGraw-Hill Education

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Chapter 9, Problem 110P

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Chapter 9, Problem 109P

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Fundamentals of Thermal-Fluid Sciences

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