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A refrigerator working on a reversed Carnot cycle has a C.O.P. of 4. If it works as a heat pump and consumes 1 kW, the heating effect will be:
  • a)
    1 KW  
  • b)
    4 KW  
  • c)
    5 KW  
  • d)
    6 KW
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A refrigerator working on a reversed Carnot cycle has a C.O.P. of 4. I...
(COP)Heat pump = (COP)refrigerator + 1 = 4 + 1 = 5
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Most Upvoted Answer
A refrigerator working on a reversed Carnot cycle has a C.O.P. of 4. I...
Reversed Carnot Cycle:

The reversed Carnot cycle is a thermodynamic cycle consisting of four reversible processes, which are:

1. Reversible adiabatic expansion
2. Isothermal heat rejection
3. Reversible adiabatic compression
4. Isothermal heat absorption

Coefficient of Performance (C.O.P.):

The coefficient of performance is a measure of the efficiency of a refrigerator or heat pump, and it is defined as the ratio of the desired output to the required input. For a refrigerator, the desired output is the heat removed from the refrigerated space, and for a heat pump, the desired output is the heat supplied to the heated space.

C.O.P. of a refrigerator working on a reversed Carnot cycle is given by:

C.O.P. = (T2 - T1) / T2

Where T1 is the temperature of the refrigerated space, and T2 is the temperature of the surroundings.

Calculation:

Given that the C.O.P. of the refrigerator is 4, we can write:

4 = (T2 - T1) / T2

Solving for T2, we get:

T2 = 4T1

Now, if the refrigerator works as a heat pump and consumes 1 kW of power, then the heating effect will be given by:

Heating effect = C.O.P. x Power input

Heating effect = 4 x 1 kW

Heating effect = 4 kW

Therefore, the correct answer is option C, i.e., 5 kW.
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A refrigerator working on a reversed Carnot cycle has a C.O.P. of 4. If it works as a heat pump and consumes 1 kW, the heating effect will be:a)1 KW b)4 KW c)5 KW d)6 KWCorrect answer is option 'C'. Can you explain this answer?
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