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A refrigerator removes heat from the inside at a rate of 200 J/s and expels it t

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Question: A refrigerator removes heat from the inside at a rate of 200 J/s and expels it to the outside at a rate of 250 J/s. What is the coefficient of performance (COP) of the refrigerator? (2022)

Options:

  1. 0.8
  2. 1.25
  3. 1.5
  4. 2.0

Correct Answer: 1.25

Exam Year: 2022

Solution: 

COP = Q_c / W = 200 J/s / (250 J/s - 200 J/s) = 200 / 50 = 4.

A refrigerator removes heat from the inside at a rate of 200 J/s and expels it t

Practice Questions

Q1
A refrigerator removes heat from the inside at a rate of 200 J/s and expels it to the outside at a rate of 250 J/s. What is the coefficient of performance (COP) of the refrigerator? (2022)
  1. 0.8
  2. 1.25
  3. 1.5
  4. 2.0

Questions & Step-by-Step Solutions

A refrigerator removes heat from the inside at a rate of 200 J/s and expels it to the outside at a rate of 250 J/s. What is the coefficient of performance (COP) of the refrigerator? (2022)
  • Step 1: Identify the heat removed from the inside of the refrigerator, which is given as 200 J/s. This is denoted as Q_c.
  • Step 2: Identify the heat expelled to the outside, which is given as 250 J/s. This is denoted as Q_h.
  • Step 3: Calculate the work done (W) by the refrigerator. This is the difference between the heat expelled and the heat removed: W = Q_h - Q_c = 250 J/s - 200 J/s.
  • Step 4: Perform the calculation for W: W = 250 J/s - 200 J/s = 50 J/s.
  • Step 5: Use the formula for the coefficient of performance (COP) of the refrigerator: COP = Q_c / W.
  • Step 6: Substitute the values into the formula: COP = 200 J/s / 50 J/s.
  • Step 7: Perform the division: COP = 200 / 50 = 4.
  • Coefficient of Performance (COP) – The COP of a refrigerator is a measure of its efficiency, defined as the ratio of heat removed from the cold reservoir (Q_c) to the work input (W).
  • Heat Transfer – Understanding the rates of heat removal and expulsion is crucial for calculating the COP.
  • Work Calculation – The work done by the refrigerator is the difference between the heat expelled and the heat removed.
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