Question

A refrigerator has a coefficient of performance equal to 5.00. Assuming that the refrigerator absorbs $120 \mathrm{~J}$ 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 29, Chapter 22: Fundamentals of Physics
Uploaded: 2021-06-18T16:31:14-08:00
Duration: 1 min 45 s
Channel: Shahab Ullah
Description: A refrigerator has a coefficient of performance equal to 5.00. Assuming that the refrigerator absorbs 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. Assuming that the refrigerator absorbs $120 \mathrm{~J}$ 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.

Fundamentals of Physics

David Halliday,… 8th Edition

Chapter 22, Problem 29

Instant Answer

Solved by Expert Shahab Ullah

06/18/2021

Step 1

We can rearrange this formula to solve for $W$: \[ W = \frac{Q_c}{COP} \] Show more…

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A refrigerator has a coefficient of performance equal to 5.00. Assuming that the refrigerator absorbs $120 \mathrm{~J}$ 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) for a refrigerator is a measure of its efficiency, defined as the ratio of the heat removed from the cold reservoir (Q_c) to the work input (W). A higher COP indicates a more efficient refrigerator, as it removes more heat per unit of work consumed. It is a key performance metric in refrigeration and heat pump systems.

Conservation of Energy in Thermodynamic Cycles

In any thermodynamic cycle, including refrigeration cycles, energy is conserved. This means that the energy expelled to the hot reservoir (Q_h) is equal to the sum of the energy absorbed from the cold reservoir (Q_c) and the work input (W). This principle is fundamental in understanding how refrigerators and heat pumps operate and in calculating unknown quantities if the other values are provided.

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