COP of refrigerator based on reverse Carnot cycle decreases on

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BPSC AE Paper V Mechanical 2024 Official Paper
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  1. increasing the higher temperature and keeping the lower temperature constant
  2. keeping the higher temperature constant and increasing the lower temperature
  3. increasing the higher temperature and decreasing the lower temperature
  4. decreasing the difference in operating temperatures

Answer (Detailed Solution Below)

Option 3 : increasing the higher temperature and decreasing the lower temperature
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Explanation:

COP of a Refrigerator:

  • The Coefficient of Performance (COP) of a refrigerator is a measure of its efficiency and is defined as the ratio of the heat absorbed from the refrigerated space (QL) to the work input (W) required to transfer that heat. Mathematically, for a reverse Carnot cycle:

The Coefficient of Performance (COP) of a Carnot refrigerator is given by:

\( \text{COP}_{\text{Carnot}} = \frac{T_L}{T_H - T_L} \)

Where, \( T_L \) is the lower temperature and \( T_H \) is the higher temperature, both in Kelvin.

Analysis:

If \( T_H \) is increased and \( T_L \) is decreased:

  • The denominator \( (T_H - T_L) \) increases
  • The numerator \( T_L \) decreases

As a result, the COP value decreases.

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