The temperature inside a refrigerator is and the room temperature is . The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be:
The coefficient of performance () of a refrigerator is given by , where is the heat extracted from the refrigerator (cold reservoir), is the work done (electrical energy consumed), is the absolute temperature of the room (hot reservoir), and is the absolute temperature inside the refrigerator. The total heat delivered to the room is . We need to find the amount of heat delivered per joule of work done, which is . Substituting the expression for : Converting the given Celsius temperatures to Kelvin: Now, substitute the temperatures into the ratio: For each joule of electrical energy consumed (), the heat delivered is .
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