(a) To determine The heat removal rate from the refrigerated space. The power input required to the compressor. Explanation Sketch the T − s diagram for the refrigeration system as in Figure (1). Write the relation between specific enthalpies at inlet and exit of a throttling process. h 3 = h 4 (I) Here, the specific enthalpy at the inlet of throttling is h 3 and the specific enthalpy at the exit of throttling is h 4 . Write the formula to calculate the heat removal rate ( Q ˙ L ) from refrigerated space. Q ˙ L = m ˙ ( h 1 − h 4 ) (II) Here, mass flow rate of the refrigerant is m ˙ , and the specific enthalpy of refrigerant at the compressor inlet is h 1 . Write the formula to calculate the power input to the compressor ( W ˙ in ) . W ˙ in = m ˙ ( h 2 − h 1 ) (III) Here, the specific enthalpy of refrigerant at the compressor exit is h 2 . Conclusion: From the Table A-13 of “Superheated refrigerant R-134a”, obtain the properties of refrigerant at compressor inlet pressure ( P 1 ) of 0.2 MPa and compressor inlet temperature ( T 1 ) of − 5 ° C as follows: h 1 = 248.82 kJ / kg s 1 = 0.95414 kJ / kg ⋅ K Here, the specific entropy of the refrigerant at compressor inlet is s 1 . The specific entropy at the end of isentropic compression ( s 2 s ) is calculated as s 2 s = s 1 = 0.95414 kJ / kg ⋅ K Refer to Table A-13, “Superheated R-134a”, and obtain the values of R-134a at pressure of 1 .2 MPa and specific entropy of 0.95414 kJ / kg ⋅ K by using interpolation method. 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 (IV) Here, the variables denoted by x and y are specific entropy and specific enthalpy. Show temperature and enthalpy values from the Table A-13. Entropy ( s 2 ) , in kJ / kg ⋅ K Enthalpy ( h 2 ) , in kJ / kg 0.9268 278.28 0.95414 ? 0.9615 289.66 Substitute 0.9268 for x 1 , 0.95414 for x 2 , 0.9615 for x 3 , 278.28 for y 1 , and 289.66 for y 3 in Equation (IV) to calculate the specific enthalpy at the isentropic exit of compressor ( h 2 s ) (b) To determine The isentropic efficiency of the compressor. (c) To determine The coefficient of performance of the refrigerator.

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ISBN: 9780100257054

Author: CENGEL

Publisher: YUZU

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Chapter 11.10, Problem 17P

(a)

To determine

The heat removal rate from the refrigerated space.

The power input required to the compressor.

(b)

To determine

The isentropic efficiency of the compressor.

(c)

To determine

The coefficient of performance of the refrigerator.

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Chapter 11.10, Problem 16P

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EBK THERMODYNAMICS: AN ENGINEERING APPR

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