Question:

The coefficient of performance (COP) of a refrigerator is defined as:

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Logic Tip: It's exactly like calculating gas mileage for a car. You want maximum cooling (Heat removed) for the minimum amount of electricity on your power bill (Work supplied).
  • Work done heat removed
  • Heat removed from cold body work supplied
  • Heat supplied work output
  • Heat rejected heat absorbed
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The Correct Option is B

Solution and Explanation

Concept:
The Coefficient of Performance (COP) is the standard metric for measuring the efficiency of refrigeration cycles and heat pumps. Like most engineering efficiency metrics, it is a ratio of "desired output" to "required input".

Step 1:
The primary purpose of a refrigerator is to cool an enclosed space. Therefore, the desired output is the amount of heat extracted or removed ($Q_{cold}$) from the cold body.

Step 2:
To force heat to move unnaturally from a cold space to a hot room, you must input electrical/mechanical energy via a compressor. This is the work supplied ($W_{in}$).

Step 3:
COP is mathematically defined as the desired cooling effect divided by the required work input: $COP = \frac{Q_{cold}}{W_{in}}$.
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