a) Explanation Write the formula of interpolation method of two variables. y 2 = ( x 2 − x 1 ) ( y 3 − y 1 ) ( x 3 − x 1 ) + y 1 (I) Here, the variables denoted by x and y are enthalpy and entropy. Calculate the work potential ( ψ 1 ) of refrigerant-134a at the inlet. ψ 1 = h 1 − h 0 − T 0 ( s 1 − s 0 ) (II) Conclusion: Refer to Table A-6, “saturated refrigerant-134a-temperature table”, for the pressure of 700 kPa and temperature of 25 ° C to obtain the following properties using interpolation method. Temperature, ° C Enthalpy kJ / kg Entropy kJ / kg ⋅ K 24 84.98 0.31959 25 ? 26 87.83 0.32905 Substitute 24 ° C for x 1 , 25 ° C for x 2 , 26 ° C for x 3 , 84.98 kJ / kg for y 1 , and 87.93 kJ / kg for y 3 in Equation (I). h 1 = ( 25 − 24 ) ( 87.83 − 84.98 ) ( 26 − 24 ) + 84.98 = 1.44 + 84.98 = 86.42 kJ / kg h 1 , h f @ 25 ° C = h 2 Substitute 24 ° C for x 1 , 25 ° C for x 2 , 26 ° C for x 3 , 0.31959 kJ / kg ⋅ K for y 1 , and 0.32905 kJ / kg ⋅ K for y 3 in Equation (I). s 1 = ( 25 − 24 ) ( 0.32905 − 0.31959 ) ( 26 − 24 ) + 0.31959 = 0.0047 + 0.31959 = 0.32429 kJ / kg ⋅ K Refer to Table A-6, “saturated refrigerant-134a- pressure table”, for the pressure of 160 kPa and enthalpy of 86.40 kJ / kg to obtain the following properties using interpolation method. Pressure, kPa Entropy kJ / kg ⋅ K 150 0.343 160 170 0.340 Substitute 150 kPa for x 1 , 160 kPa for x 2 , 170 kPa for x 3 , 0 b) To determine The exergy destruction ( x dest ) during the process c) To determine The second law ( n Ι Ι ) efficiency

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ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

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Chapter 8.8, Problem 87RP

To determine

The work potential (ψ1) of refrigerant-134a at the inlet

To determine

The exergy destruction (xdest) during the process

To determine

The second law (nΙΙ) efficiency

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Chapter 8.8, Problem 86RP

Chapter 8.8, Problem 88RP

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The work potential ( ψ 1 ) of refrigerant-134a at the inlet

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The work potential (ψ1) of refrigerant-134a at the inlet

The exergy destruction (xdest) during the process

The second law (nΙΙ) efficiency

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Chapter 8 Solutions