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Efficiency of a Carnot engine is 75%. If the cycle direction is reverse, COP of the heat pump working on reversed Carnot cycle will be
  • a)
    1.33
  • b)
    0.75
  • c)
    0.33
  • d)
    1.75
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Efficiency of a Carnot engine is 75%. If the cycle direction is revers...
Efficiency of Carnot cycle 
By reversing the Carnot cycle we can have either heat pump or refrigerator.
 
COP of heat pump = 
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Most Upvoted Answer
Efficiency of a Carnot engine is 75%. If the cycle direction is revers...


Explanation:

Efficiency of Carnot Engine:
- Efficiency of a Carnot engine is given by the formula:
Efficiency = 1 - (Tc/Th)
where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir.
- Given that the efficiency of the Carnot engine is 75%, we can write:
0.75 = 1 - (Tc/Th)

Heat Pump working on Reversed Carnot Cycle:
- Coefficient of Performance (COP) of a heat pump working on a reversed Carnot cycle is given by the formula:
COP = 1 / (Th/Tc - 1)
- When the cycle direction is reversed, the temperatures of the hot and cold reservoirs are interchanged.
- Therefore, for the reversed Carnot cycle:
Th = Tc / (1 - 0.75) = 4 * Tc

COP of the Heat Pump:
- Substituting Th = 4 * Tc into the COP formula, we get:
COP = 1 / (4 - 1) = 1/3 = 1.33

Therefore, the COP of the heat pump working on the reversed Carnot cycle will be 1.33, which corresponds to option 'A'.
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Efficiency of a Carnot engine is 75%. If the cycle direction is reverse, COP of the heat pump working on reversed Carnot cycle will bea)1.33b)0.75c)0.33d)1.75Correct answer is option 'A'. Can you explain this answer?
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