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shown in the figure below operates at steady state with a coefficient of performance (COP) of 5.0 within a kitchen at 23 °C. The refrigerator rejects 4.8 kW by heat transfer to its surroundings from metal coils located on its exterior. Determine:

shown in the figure below operates at steady state with a coefficient of performance (COP) of 5.0 within a kitchen at 23 °C. The refrigerator rejects 4.8 kW by heat transfer to its surroundings from metal coils located on its exterior. Determine:

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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The refrigerator shown in the figure below operates at steady state with a coefficient of performance (COP) of 5.0 within a kitchen at 23 °C. The refrigerator rejects 4.8 kW by heat transfer to its surroundings from metal coils located on its exterior. Determine:

(a) the power input, in kW.
(b) the lowest theoretical temperature inside the refrigerator, in K.

### Image Description This image illustrates the back view of a refrigerator and is labeled for educational purposes. Here's a detailed breakdown of the information and diagram: **Labels and Components:** 1. **Refrigerator (β = 5.0):** - The coefficient of performance (COP), denoted as β, is given as 5.0. This indicates the effectiveness of the refrigerator in transferring heat relative to the work input. 2. **Surroundings, 23°C:** - This specifies the temperature of the environment around the refrigerator, which is 23 degrees Celsius. 3. **Coils:** - The image shows coils on the back of the refrigerator, which are part of the heat exchange system. These coils dissipate heat into the surrounding air. 4. **Heat Transfer (\( \dot{Q}_H = 4.8 \, \text{kW} \)):** - This indicates that the rate of heat expelled to the surroundings by the refrigerator is 4.8 kilowatts (\( \text{kW} \)). 5. **Electrical Connection:** - The image shows a power cord connected to the refrigerator, highlighting that it operates using electrical energy. **Functionality Overview:** The diagram provides an overview of how a refrigerator functions, showing how electrical energy is used to remove heat from the inside of the refrigerator and release it into the surrounding environment through the coils. Understanding the efficiency and the heat transfer rate is crucial in evaluating the appliance's performance.
Transcribed Image Text:### Image Description This image illustrates the back view of a refrigerator and is labeled for educational purposes. Here's a detailed breakdown of the information and diagram: **Labels and Components:** 1. **Refrigerator (β = 5.0):** - The coefficient of performance (COP), denoted as β, is given as 5.0. This indicates the effectiveness of the refrigerator in transferring heat relative to the work input. 2. **Surroundings, 23°C:** - This specifies the temperature of the environment around the refrigerator, which is 23 degrees Celsius. 3. **Coils:** - The image shows coils on the back of the refrigerator, which are part of the heat exchange system. These coils dissipate heat into the surrounding air. 4. **Heat Transfer (\( \dot{Q}_H = 4.8 \, \text{kW} \)):** - This indicates that the rate of heat expelled to the surroundings by the refrigerator is 4.8 kilowatts (\( \text{kW} \)). 5. **Electrical Connection:** - The image shows a power cord connected to the refrigerator, highlighting that it operates using electrical energy. **Functionality Overview:** The diagram provides an overview of how a refrigerator functions, showing how electrical energy is used to remove heat from the inside of the refrigerator and release it into the surrounding environment through the coils. Understanding the efficiency and the heat transfer rate is crucial in evaluating the appliance's performance.
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