A vapor compression refrigeration cycle uses steam as the working fluid. Steamflows steadily with a mass ow rate of 0.5 kg/s. Saturated vapor at 2.0 o C (State 1) enters an uninsulated compressor and it is compressed to 0.35 bar (State 2). Heat transfer at the rate of 105 kJ/s occurs from the compressor to its surroundings and the heat transfer exactly balances the entropy generation rate so that s2 = s1. The boundary and surrounding temperature of the compressor is measured to be 26.67 o C. Steam exits as saturated liquid at 0.34 bar (State 3) from the condenser. Steam leaving the condenser is then throttled in an expansion valve (State 4) before entering a constant pressure evaporator to complete the thermodynamic cycle. (a) Calculate the power (kJ/s) for the compressor. (b) Determine the isentropic efficiency (%) of the compressor. (c) Calculate the entropy generation for the compressor. (d) Find the coefficient of performance of the refrigeration cycle. (e) Show the cycle on T-s diagram. Label states, indicate appropriate lines of constant pressure, and show property values.

Sustainable Energy
2nd Edition
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:DUNLAP, Richard A.
Chapter17: Energy Conservation
Section: Chapter Questions
Problem 14P
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A vapor compression refrigeration cycle uses steam as the working fluid. Steamflows steadily with a mass ow rate of 0.5 kg/s. Saturated vapor at 2.0 o C (State 1) enters an uninsulated compressor and it is compressed to 0.35 bar (State 2). Heat transfer at the rate of 105 kJ/s occurs from the compressor to its surroundings and the heat transfer exactly balances the entropy generation rate so that s2 = s1. The boundary and surrounding temperature of the compressor is measured to be 26.67 o C. Steam exits as saturated liquid at 0.34 bar (State 3) from the condenser. Steam leaving the condenser is then throttled in an expansion valve (State 4) before entering a constant pressure evaporator to complete the thermodynamic cycle.

(a) Calculate the power (kJ/s) for the compressor.

(b) Determine the isentropic efficiency (%) of the compressor.

(c) Calculate the entropy generation for the compressor.

(d) Find the coefficient of performance of the refrigeration cycle.

(e) Show the cycle on T-s diagram. Label states, indicate appropriate lines of constant pressure, and show property values.

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