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In an air conditioning system running at steady-state, m ̇ = 0.7 kg/s of refrigerant 3 134a in saturated liquid state at 48◦C flow through a throttling valve reducing its pressure to a value of p4 = 4 bars. The system is shown in Fig. 1. Then the refrigerant flows through the internal side of a heat exchanger exiting at saturated vapor with p5 = p4. Air enters the external side of the heat exchanger at T1 = 300 K and exits at T2 = 295 K moved by a fan ̇ Figure 1: Problem 1 that consumes WCV = 0.15 kW. Determine the mass flow rate of the air, in kg/s

In an air conditioning system running at steady-state, m ̇ = 0.7 kg/s of refrigerant 3 134a in saturated liquid state at 48◦C flow through a throttling valve reducing its pressure to a value of p4 = 4 bars. The system is shown in Fig. 1. Then the refrigerant flows through the internal side of a heat exchanger exiting at saturated vapor with p5 = p4. Air enters the external side of the heat exchanger at T1 = 300 K and exits at T2 = 295 K moved by a fan ̇ Figure 1: Problem 1 that consumes WCV = 0.15 kW. Determine the mass flow rate of the air, in kg/s

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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In an air conditioning system running at steady-state, m ̇ = 0.7 kg/s of refrigerant 3

134a in saturated liquid state at 48◦C flow through a throttling valve reducing its pressure

to a value of p4 = 4 bars. The system is shown in Fig. 1. Then the refrigerant flows through

the internal side of a heat exchanger exiting at saturated vapor with p5 = p4. Air enters the

external side of the heat exchanger at T1 = 300 K and exits at T2 = 295 K moved by a fan ̇

Figure 1: Problem 1

that consumes WCV = 0.15 kW. Determine the mass flow rate of the air, in kg/s

**Problem Statement:** In an air conditioning system running at steady-state, the mass flow rate of refrigerant 134a in a saturated liquid state at 48°C is \( \dot{m}_3 = 0.7 \, \text{kg/s} \). This refrigerant flows through a throttling valve, reducing its pressure to a value of \( p_4 = 4 \, \text{bars} \). The system is illustrated in the accompanying diagram denoted as Fig. 1. Following the throttling process, the refrigerant moves through the internal side of a heat exchanger and exits as saturated vapor, maintaining the pressure \( p_5 = p_4 \). Concurrently, air enters the external side of the heat exchanger at a temperature \( T_1 = 300 \, \text{K} \) and exits at \( T_2 = 295 \, \text{K} \), driven by a fan that consumes power \( \dot{W}_{CV} = 0.15 \, \text{kW} \). **Objective:** Determine the mass flow rate of the air in kg/s. **Figure Description:** The diagram outlines the system components: - **R134a line (top path):** - Point 3: Entry of R134a at 48°C. - Valve: Represents a throttling process reducing pressure to 4 bars. - Exit points 4 and 5: Internal flow through the heat exchanger at constant pressure (saturated vapor). - **Air line (bottom path):** - Point 1: Entry of air at 300 K. - Heat Exchanger: Facilitates heat exchange between the air and refrigerant. - Point 2: Exit of air at 295 K. - **Fan:** Positioned to move the air through the system, with an associated power consumption of 0.15 kW.
Transcribed Image Text:**Problem Statement:** In an air conditioning system running at steady-state, the mass flow rate of refrigerant 134a in a saturated liquid state at 48°C is \( \dot{m}_3 = 0.7 \, \text{kg/s} \). This refrigerant flows through a throttling valve, reducing its pressure to a value of \( p_4 = 4 \, \text{bars} \). The system is illustrated in the accompanying diagram denoted as Fig. 1. Following the throttling process, the refrigerant moves through the internal side of a heat exchanger and exits as saturated vapor, maintaining the pressure \( p_5 = p_4 \). Concurrently, air enters the external side of the heat exchanger at a temperature \( T_1 = 300 \, \text{K} \) and exits at \( T_2 = 295 \, \text{K} \), driven by a fan that consumes power \( \dot{W}_{CV} = 0.15 \, \text{kW} \). **Objective:** Determine the mass flow rate of the air in kg/s. **Figure Description:** The diagram outlines the system components: - **R134a line (top path):** - Point 3: Entry of R134a at 48°C. - Valve: Represents a throttling process reducing pressure to 4 bars. - Exit points 4 and 5: Internal flow through the heat exchanger at constant pressure (saturated vapor). - **Air line (bottom path):** - Point 1: Entry of air at 300 K. - Heat Exchanger: Facilitates heat exchange between the air and refrigerant. - Point 2: Exit of air at 295 K. - **Fan:** Positioned to move the air through the system, with an associated power consumption of 0.15 kW.
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