A household refrigerator that has a power input of 450 W and a COP of 1.75 is to cool five large watermelons, 10 kg each, to 8°C. If the watermelons are initially at 28°C, determine how long it will take for the refrigerator to cool them. The watermelons can be treated as water whose specific heat is 4.2 kJ/kg-°C. Is your answer realistic or optimistic? The time taken for the refrigerator to cool the watermelons is min and the answer is (Click to select)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Description:**

A household refrigerator that has a power input of 450 W and a COP (Coefficient of Performance) of 1.75 is used to cool five large watermelons, each weighing 10 kg, to a temperature of 8°C. Initially, the watermelons are at 28°C. The task is to determine how long it will take for the refrigerator to cool these watermelons. The watermelons can be treated as water, with a specific heat of 4.2 kJ/kg°C. Finally, consider whether your answer is realistic or optimistic.

**Calculation Task:**

The time taken for the refrigerator to cool the watermelons is ___ minutes, and the answer is [Click to select].

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**Explanation for Educational Website:**

This problem involves calculating the time required to cool a specific mass of watermelons using a refrigerator with certain specifications. Key concepts include energy transfer, specific heat capacity, and the Coefficient of Performance, which assesses the efficiency of the refrigeration process. Readers are required to apply the principles of thermodynamics to find the solution.
Transcribed Image Text:**Problem Description:** A household refrigerator that has a power input of 450 W and a COP (Coefficient of Performance) of 1.75 is used to cool five large watermelons, each weighing 10 kg, to a temperature of 8°C. Initially, the watermelons are at 28°C. The task is to determine how long it will take for the refrigerator to cool these watermelons. The watermelons can be treated as water, with a specific heat of 4.2 kJ/kg°C. Finally, consider whether your answer is realistic or optimistic. **Calculation Task:** The time taken for the refrigerator to cool the watermelons is ___ minutes, and the answer is [Click to select]. --- **Explanation for Educational Website:** This problem involves calculating the time required to cool a specific mass of watermelons using a refrigerator with certain specifications. Key concepts include energy transfer, specific heat capacity, and the Coefficient of Performance, which assesses the efficiency of the refrigeration process. Readers are required to apply the principles of thermodynamics to find the solution.
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