A vapor-compression heat pump has a heating capacity of 500 kJ/min and uses Refrigerant 134a as the working fluid. The isentropic compressor efficiency is 80%. The heat pump is driven by a power cycle with a thermal efficiency of 25%. For the power cycle, 80% of the heat rejected is transferred to the heated space. Data for the cycle are provided in the table below. The principal states are numbered in the Fig. 10.3. State p (bar) T (°C) 1 2.0122 -10 2s 2 3 45.17 52.47 9.6 34 2.0122 -10 10 10 h (kJ/kg) s (kJ/kg-K) 241.34 0.9253 0.9253 0.9512 0.3584 0.3779 274.63 282.95 97.31 97.31 www Condenser Expansion valve Compressor Evaporator www Saturated or superheated vapor FIG. 10.3 Components of a vapor-compression refrigeration system. a. Determine the power input to the heat pump compressor, in kW. b. Evaluate the ratio of the total rate that heat is delivered to the heated space to the rate of heat input to the power cycle. Discuss.

Elements Of Electromagnetics
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A vapor-compression heat pump has a heating capacity of 500
kJ/min and uses Refrigerant 134a as the working fluid. The
isentropic compressor efficiency is 80%. The heat pump is driven
by a power cycle with a thermal efficiency of 25%. For the power
cycle, 80% of the heat rejected is transferred to the heated
space. Data for the cycle are provided in the table below. The
principal states are numbered in the Fig. 10.3.
State p (bar)
2.0122
1
2s
2
3
4
10
10
T (°C)
-10
45.17
52.47
34
9.6
2.0122 -10
h (kJ/kg) s (kJ/kg-K)
241.34
0.9253
274.63
0.9253
0.9512
0.3584
0.3779
282.95
97.31
97.31
Cout
www
Condenser
Expansion
valve
Compressor
Evaporator
www
Saturated or
superheated vapor
FIG. 10.3 Components of a vapor-compression
refrigeration system.
a. Determine the power input to the heat pump compressor, in kW.
b. Evaluate the ratio of the total rate that heat is delivered to the heated space to the rate of heat input to
the power cycle. Discuss.
Transcribed Image Text:A vapor-compression heat pump has a heating capacity of 500 kJ/min and uses Refrigerant 134a as the working fluid. The isentropic compressor efficiency is 80%. The heat pump is driven by a power cycle with a thermal efficiency of 25%. For the power cycle, 80% of the heat rejected is transferred to the heated space. Data for the cycle are provided in the table below. The principal states are numbered in the Fig. 10.3. State p (bar) 2.0122 1 2s 2 3 4 10 10 T (°C) -10 45.17 52.47 34 9.6 2.0122 -10 h (kJ/kg) s (kJ/kg-K) 241.34 0.9253 274.63 0.9253 0.9512 0.3584 0.3779 282.95 97.31 97.31 Cout www Condenser Expansion valve Compressor Evaporator www Saturated or superheated vapor FIG. 10.3 Components of a vapor-compression refrigeration system. a. Determine the power input to the heat pump compressor, in kW. b. Evaluate the ratio of the total rate that heat is delivered to the heated space to the rate of heat input to the power cycle. Discuss.
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