(a) To determine The rate of refrigeration for the ideal gas refrigeration cycle. Explanation Sketch the T − s diagram for the ideal gas refrigeration cycle as in Figure (1). Write the relation between the relative pressures and the pressure of an adiabatic process. P r 2 = P 2 P 1 P r 1 (I) Here, the final relative pressure of gas is P r 2 , final pressure of air is P 2 , initial pressure of air is P 1 , and the initial relative pressure of air is P r 1 . Find the rate of refrigeration for the given ideal-gas refrigeration cycle ( Q ˙ refrig ) . Q ˙ refrig = m ˙ ( h 1 − h 4 ) (II) Here, the mass flow rate of air is m ˙ , specific enthalpy of air at the compression inlet is h 1 , and the specific enthalpy at the expansion valve exit is h 4 . Conclusion: From the Table A-17E of “Ideal gas properties of air”, obtain the properties of air at the temperature ( T 1 ) of 500 R as follows: h 1 = 119.48 Btu / lbm P r 1 = 1.0590 From the Table A-17E of “Ideal gas properties of air”, obtain the properties of air at the temperature ( T 3 ) of 580 R as follows: h 3 = 138.66 Btu / lbm P r 3 = 1.7800 Substitute 30 psia for P 2 , 10 psia for P 1 , and 1.0590 for P r 1 in Equation (I). P r 2 = 30 psia 10 psia ( 1.0590 ) = 3 (b) To determine The net power input required to the ideal gas refrigeration cycle. (c) To determine The coefficient of performance for the ideal gas refrigeration cycle.

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ISBN: 8220102809444

Author: CENGEL

Publisher: YUZU

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Chapter 11.10, Problem 68P

(a)

To determine

The rate of refrigeration for the ideal gas refrigeration cycle.

(b)

To determine

The net power input required to the ideal gas refrigeration cycle.

(c)

To determine

The coefficient of performance for the ideal gas refrigeration cycle.

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Chapter 11.10, Problem 67P

Chapter 11.10, Problem 69P

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Chapter 11 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

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