An air-conditioning system made up of a compressor and heat exchanger is shown in the figure below. This system is operating at steady-state with air flowing through the heat exchanger while the refrigerant first flows through a compressor before entering the heat exchanger. The refrigerant and air do not mix in the heat exchanger. Two control volumes are defined in the figure and both of these control volumes are to be used to answer the questions from this problem. Rotating Shaft 3 Compressor Refrigerant I 12 Control volume B wwwwww wwww Heat Exchanger 1 I Air Control I volume A The air enters the heat exchanger (inlet marked 1 in the figure) at a temperature of -13 °C, volumetric flow rate of 0.03 m³/min, and pressure of 101 kPa. Upon exiting the heat exchanger, the air is at a temperature of 42 °C (outlet marked 2 in the figure). The air can be modeled as an ideal gas with gas constant of 287 J/kg.K. The refrigerant enters the compressor (inlet marked 3 in the figure) at a temperature of 5 °C and pressure of 550 kPa and the compressor increases the pressure of the refrigerant to 1400 kPa. The refrigerant enters the heat exchanger (state 4 marked in the figure) at that pressure and at a temperature of 70 °C. The refrigerant exits the heat exchanger (state 5 marked in the figure) as a liquid at a pressure of 1400 kPa and temperature of 32 °C. There is no significant heat transfer between any of the components and the surroundings. Kinetic and potential energy effects are negligible.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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An air-conditioning system made up of a compressor and heat exchanger is shown in the figure
below. This system is operating at steady-state with air flowing through the heat exchanger while
the refrigerant first flows through a compressor before entering the heat exchanger. The
refrigerant and air do not mix in the heat exchanger. Two control volumes are defined in the
figure and both of these control volumes are to be used to answer the questions from this problem.
Rotating
Shaft
3
Compressor
Refrigerant
12
I Control
volume B
wwwwwww
wwwww
Heat Exchanger
1
1 I
5
Air
Control
_' volume A
The air enters the heat exchanger (inlet marked 1 in the figure) at a temperature of -13 °C,
volumetric flow rate of 0.03 m³/min, and pressure of 101 kPa. Upon exiting the heat exchanger, the
air is at a temperature of 42 °C (outlet marked 2 in the figure). The air can be modeled as an ideal
gas with gas constant of 287 J/kg.K.
The refrigerant enters the compressor (inlet marked 3 in the figure) at a temperature of 5 °C and
pressure of 550 kPa and the compressor increases the pressure of the refrigerant to 1400 kPa. The
refrigerant enters the heat exchanger (state 4 marked in the figure) at that pressure and at a
temperature of 70 °C. The refrigerant exits the heat exchanger (state 5 marked in the figure) as a
liquid at a pressure of 1400 kPa and temperature of 32 °C.
There is no significant heat transfer between any of the components and the surroundings. Kinetic
and potential energy effects are negligible.
Transcribed Image Text:An air-conditioning system made up of a compressor and heat exchanger is shown in the figure below. This system is operating at steady-state with air flowing through the heat exchanger while the refrigerant first flows through a compressor before entering the heat exchanger. The refrigerant and air do not mix in the heat exchanger. Two control volumes are defined in the figure and both of these control volumes are to be used to answer the questions from this problem. Rotating Shaft 3 Compressor Refrigerant 12 I Control volume B wwwwwww wwwww Heat Exchanger 1 1 I 5 Air Control _' volume A The air enters the heat exchanger (inlet marked 1 in the figure) at a temperature of -13 °C, volumetric flow rate of 0.03 m³/min, and pressure of 101 kPa. Upon exiting the heat exchanger, the air is at a temperature of 42 °C (outlet marked 2 in the figure). The air can be modeled as an ideal gas with gas constant of 287 J/kg.K. The refrigerant enters the compressor (inlet marked 3 in the figure) at a temperature of 5 °C and pressure of 550 kPa and the compressor increases the pressure of the refrigerant to 1400 kPa. The refrigerant enters the heat exchanger (state 4 marked in the figure) at that pressure and at a temperature of 70 °C. The refrigerant exits the heat exchanger (state 5 marked in the figure) as a liquid at a pressure of 1400 kPa and temperature of 32 °C. There is no significant heat transfer between any of the components and the surroundings. Kinetic and potential energy effects are negligible.
Ideal gas properties of air for states 1 and 2
Refrigerant Properties
h(T3, P3)
u(T3, P3)
h(T4, P4)
u(T4, P4)
hf at 32 °C
Uf at 32 °C
hg at 32 °C
ug at 32 °C
Value in kJ/kg
h(T₁) 260.09
u(T₁) 185.45
h(T₂) 315.27
u(T₂)
224.85
Value in kJ/kg
252.46
228.72
290.01
261.60
122.35
120.00
261.96
240.24
a) Add the inlet and outlet conditions from the problem statement to the figure
b) Using control volume A, determine the mass flow rate of the refrigerant in kg/min and
clearly show all steps needed to get to your answer
c) Using control volume B, determine the compressor power in KW and clearly show all
steps needed to get to your answer
Transcribed Image Text:Ideal gas properties of air for states 1 and 2 Refrigerant Properties h(T3, P3) u(T3, P3) h(T4, P4) u(T4, P4) hf at 32 °C Uf at 32 °C hg at 32 °C ug at 32 °C Value in kJ/kg h(T₁) 260.09 u(T₁) 185.45 h(T₂) 315.27 u(T₂) 224.85 Value in kJ/kg 252.46 228.72 290.01 261.60 122.35 120.00 261.96 240.24 a) Add the inlet and outlet conditions from the problem statement to the figure b) Using control volume A, determine the mass flow rate of the refrigerant in kg/min and clearly show all steps needed to get to your answer c) Using control volume B, determine the compressor power in KW and clearly show all steps needed to get to your answer
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