(a) To determine The volumetric flow rate at inlet and exit of the compressor, in m 3 /s . Explanation Here, the refrigerant operated at steady state through the compressor. Hence, the inlet and exit mass flow rates are equal. m ˙ 1 = m ˙ 2 (I) Write the formula for inlet mass flow rate. m ˙ 1 = A 1 V 1 v 1 (II) Write the formula for exit mass flow rate. m ˙ 2 = A 2 V 2 v 2 (III) Rearrange the Equation (II) and (III) to obtain the inlet and exit volumetric flow rates. A 1 V 1 = m ˙ 1 v 1 (IV) A 2 V 2 = m ˙ 2 v 2 (V) Here, the volumetric flow rate is AV and the specific volume is v ; the suffix 1 and 2 indicates the inlet and exit states. At inlet: The refrigerant is at the state of saturated vapor. Refer Table A-10, “Properties of Saturated Refrigerant 134a (Liquid–Vapor): Temperature Table ”. The specific volume ( v 1 = v g ) corresponding to the temperature of − 20 ° C is 0.1464 m 3 /kg . At exit: The refrigerant is at the state of superheated vapor. Refer Table A-12, “Properties of Superheated Refrigerant 134a ”. The specific volume ( v 2 ) corresponding to the pressure of 7 bar and the temperature of 70 ° C is 0 (b) To determine The power input to the compressor, in kW .

Appendices to accompany Fundamentals of Engineering Thermodynamics, 8e

8th Edition

ISBN: 9781118957219

Author: Michael J. Moran, Howard N. Shapiro

Publisher: WILEY

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Chapter 4.12, Problem 60P

(a)

To determine

The volumetric flow rate at inlet and exit of the compressor, in m3/s.

(b)

To determine

The power input to the compressor, in kW.

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Chapter 4.12, Problem 59P

Chapter 4.12, Problem 61P

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