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 QL Water 18°C 1.2 MPa 65°C Compressor 60 kPa -34°C Determine the theoretical maximum refrigeration load for the same power input to the compressor. The theoretical maximum refrigeration load for the same power input to the compressor is [ kW.

Elements Of Electromagnetics
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**Educational Content: Thermodynamics in Refrigeration Systems**

**Description:**

This section discusses the workings of a commercial refrigerator using refrigerant-134a. It explains how the refrigerator maintains a refrigerated space at -30°C by transferring waste heat to cooling water.

**Text Explanation:**

A commercial refrigerator with refrigerant-134a as the working fluid helps keep the refrigerated space at -30°C. This is achieved by rejecting waste heat to cooling water that enters the condenser at 18°C at a flow rate of 0.28 kg/s and exits at 26°C. The refrigerant itself enters the condenser at 1.2 MPa and 65°C, leaving at 42°C. The compressor receives refrigerant at an inlet state of 60 kPa and -34°C and is expected to gain a net heat input of 420 W from the surroundings. Notably, the heat exchanger is perfectly insulated, meaning no heat loss occurs to the environment.

**Diagram Explanation:**

The diagram is a schematic of the refrigeration cycle, featuring several key components:

1. **Evaporator**: The section where the refrigerant absorbs heat from the refrigerated space, leading to evaporation.
   - Inlet condition: 60 kPa, -34°C

2. **Compressor**: The component that compresses the refrigerant, increasing its pressure and temperature.
   - Inlet state: 60 kPa and -34°C
   - Net heat gain: 420 W from surroundings

3. **Condenser**: The area where the refrigerant releases absorbed heat into the cooling water.
   - Entry condition: 1.2 MPa, 65°C
   - Exit condition: 42°C
   - Cooling water flow: Enters at 18°C, exits at 26°C

4. **Expansion valve**: Controls the flow of refrigerant, reducing its pressure and causing cooling through expansion.

**Question:**

Calculate the theoretical maximum refrigeration load with the same power input to the compressor.

**Fill in the blank:**

The theoretical maximum refrigeration load for the same power input to the compressor is ______ kW.
Transcribed Image Text:**Educational Content: Thermodynamics in Refrigeration Systems** **Description:** This section discusses the workings of a commercial refrigerator using refrigerant-134a. It explains how the refrigerator maintains a refrigerated space at -30°C by transferring waste heat to cooling water. **Text Explanation:** A commercial refrigerator with refrigerant-134a as the working fluid helps keep the refrigerated space at -30°C. This is achieved by rejecting waste heat to cooling water that enters the condenser at 18°C at a flow rate of 0.28 kg/s and exits at 26°C. The refrigerant itself enters the condenser at 1.2 MPa and 65°C, leaving at 42°C. The compressor receives refrigerant at an inlet state of 60 kPa and -34°C and is expected to gain a net heat input of 420 W from the surroundings. Notably, the heat exchanger is perfectly insulated, meaning no heat loss occurs to the environment. **Diagram Explanation:** The diagram is a schematic of the refrigeration cycle, featuring several key components: 1. **Evaporator**: The section where the refrigerant absorbs heat from the refrigerated space, leading to evaporation. - Inlet condition: 60 kPa, -34°C 2. **Compressor**: The component that compresses the refrigerant, increasing its pressure and temperature. - Inlet state: 60 kPa and -34°C - Net heat gain: 420 W from surroundings 3. **Condenser**: The area where the refrigerant releases absorbed heat into the cooling water. - Entry condition: 1.2 MPa, 65°C - Exit condition: 42°C - Cooling water flow: Enters at 18°C, exits at 26°C 4. **Expansion valve**: Controls the flow of refrigerant, reducing its pressure and causing cooling through expansion. **Question:** Calculate the theoretical maximum refrigeration load with the same power input to the compressor. **Fill in the blank:** The theoretical maximum refrigeration load for the same power input to the compressor is ______ kW.
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