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A refrigerator with a coefficient of performance of 1.75

Chapter 18, Problem 57P

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QUESTION:

Problem 57P

A refrigerator with a coefficient of performance of 1.75 absorbs 3.45 × 104 J of heat from the low-temperature reservoir during each cycle. (a) How much mechanical work is required to operate the refrigerator for a cycle? (b) How much heat does the refrigerator discard to the high-temperature reservoir during each cycle?

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QUESTION:

Problem 57P

A refrigerator with a coefficient of performance of 1.75 absorbs 3.45 × 104 J of heat from the low-temperature reservoir during each cycle. (a) How much mechanical work is required to operate the refrigerator for a cycle? (b) How much heat does the refrigerator discard to the high-temperature reservoir during each cycle?

ANSWER:

Solution 57P

Step 1 of 3

Here, we have to calculate the amount of mechanical work needed for the working of a refrigerator and the heat energy exhausted to the hot reservoir.

The equation for the work done of a refrigerator,

--------------(1)

Where,  - Heat taken from the cold reservoir

              - Heat given off to the hot reservoir.

The equation for coefficient of performance of a refrigerator,

----------------(2)

a)

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