Question

A refrigerator has a coefficient of performance equal to 5.00. The refrigerator takes in 120 J of energy from a cold reservoir in each cycle. Find (a) the work required in each cycle and (b) the energy expelled to the hot reservoir.

Name: Problem 7, Chapter 22: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2020-09-17T06:34:27-08:00
Duration: 1 min 49 s
Channel: Sheh Lit Chang
Description: A refrigerator has a coefficient of performance equal to 5.00. The refrigerator takes in 120 J of energy from a cold reservoir in each cycle. Find (a) the work required in each cycle and (b) the energy expelled to the hot reservoir.

   A refrigerator has a coefficient of performance equal to 5.00. The refrigerator takes in 120 J of energy from a cold reservoir in each cycle. 
Find (a) the work required in each cycle and (b) the energy expelled to the hot reservoir.

Physics for Scientists and Engineers with Modern Physics

Paul Tipler, Gene… 6th Edition

Chapter 22, Problem 7

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Solved by Expert Sheh Lit Chang

09/17/2020

Step 1

Step 1: The coefficient of performance (COP) of a refrigerator is given by the formula: \[ COP = \frac{Q_C}{W} \] where \(Q_C\) is the energy taken in from the cold reservoir and \(W\) is the work done by the refrigerator. Show more…

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A refrigerator has a coefficient of performance equal to 5.00. The refrigerator takes in 120 J of energy from a cold reservoir in each cycle. Find (a) the work required in each cycle and (b) the energy expelled to the hot reservoir.

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Key Concepts

Coefficient of Performance (COP) for Refrigerators

The coefficient of performance (COP) is a measure of the efficiency of a refrigerator or heat pump. It is defined as the ratio of the heat removed from the cold reservoir (or delivered to the hot reservoir, depending on the device's operation) to the work input required to remove that heat. This concept is fundamental in thermodynamics as it indicates how effectively energy is used in refrigeration cycles.

Energy Conservation in Refrigeration Cycles

In refrigeration cycles, the principle of energy conservation is applied by accounting for all energy transfers during the process. Specifically, the energy absorbed from the cold reservoir plus the work input equals the energy expelled to the hot reservoir. This balance is critical for analyzing and understanding how work and heat flow in thermodynamic systems and for determining unknown energy quantities in practical applications.

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