NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A commercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at -30°C by rejecting its waste heat to cooling water that enters the condenser at 18°C at a rate of 0.28 kg/s and leaves at 26°C. The refrigerant enters the condenser at 1.2 MPa and 65°C and leaves at 42°C. The inlet state of the compressor is 60 kPa and -34°C and the compressor is estimated to gain a net heat of 420 W from the surroundings. The heat exchanger loses no heat to the environment. 26°C↑ 42°C (3) Condenser Expansion valve Evaporator OL Water 18°C (2) 1.2 MPa 65°C in Compressor 60 kPa -34°C Determine the COP of the refrigerator. (You must provide an answer before moving on to the next part.) The COP of the refrigerator is [

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**NOTE:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

A commercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at –30°C by rejecting its waste heat to cooling water that enters the condenser at 18°C at a rate of 0.28 kg/s and leaves at 26°C. The refrigerant enters the condenser at 1.2 MPa and 65°C and leaves at 42°C. The inlet state of the compressor is 60 kPa and –34°C and the compressor is estimated to gain a net heat of 420 W from the surroundings. The heat exchanger loses no heat to the environment.

**Diagram Explanation:**

The diagram illustrates the refrigeration cycle of a commercial refrigerator. Here is a detailed breakdown:

1. **Compressor:**
   - Inlet conditions are at 60 kPa and –34°C.
   - The compressor receives work input denoted as \( \dot{W}_{in} \) and gains heat from the surroundings.

2. **Condenser:**
   - The refrigerant enters the condenser at 1.2 MPa and 65°C.
   - Cooling water enters at 18°C and exits at 26°C.
   - The refrigerant leaves the condenser at 42°C.

3. **Expansion Valve:**
   - Reduces the pressure and temperature of the refrigerant as it enters the evaporator.

4. **Evaporator:**
   - Absorbs heat from the refrigerated space.
   - The heat absorbed is denoted as \( \dot{Q}_L \).

**Task:**

Determine the COP (Coefficient of Performance) of the refrigerator. (You must provide an answer before moving on to the next part.)

The COP of the refrigerator is _____.
Transcribed Image Text:**NOTE:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A commercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at –30°C by rejecting its waste heat to cooling water that enters the condenser at 18°C at a rate of 0.28 kg/s and leaves at 26°C. The refrigerant enters the condenser at 1.2 MPa and 65°C and leaves at 42°C. The inlet state of the compressor is 60 kPa and –34°C and the compressor is estimated to gain a net heat of 420 W from the surroundings. The heat exchanger loses no heat to the environment. **Diagram Explanation:** The diagram illustrates the refrigeration cycle of a commercial refrigerator. Here is a detailed breakdown: 1. **Compressor:** - Inlet conditions are at 60 kPa and –34°C. - The compressor receives work input denoted as \( \dot{W}_{in} \) and gains heat from the surroundings. 2. **Condenser:** - The refrigerant enters the condenser at 1.2 MPa and 65°C. - Cooling water enters at 18°C and exits at 26°C. - The refrigerant leaves the condenser at 42°C. 3. **Expansion Valve:** - Reduces the pressure and temperature of the refrigerant as it enters the evaporator. 4. **Evaporator:** - Absorbs heat from the refrigerated space. - The heat absorbed is denoted as \( \dot{Q}_L \). **Task:** Determine the COP (Coefficient of Performance) of the refrigerator. (You must provide an answer before moving on to the next part.) The COP of the refrigerator is _____.
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