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A house-hold refrigerator operates under steady state condition between an evaporator temperature of 263 K and a condenser temperature of 323 K. The heat load to the refrigerator is 3 kW. The actual COP of the refrigerator is half of that of a Carnot refrigerator operating between the same condenser and evaporator temperatures. The power required (in kW) to run the refrigerator is ___________.
    Correct answer is between '1.34,1.40'. Can you explain this answer?
    Most Upvoted Answer
    A house-hold refrigerator operates under steady state condition betwee...
    Solution:

    Given data:

    Temperature at the evaporator, Te = 263 K
    Temperature at the condenser, Tc = 323 K
    Heat load to the refrigerator, QL = 3 kW
    COP of the refrigerator, COPactual = 0.5 × COPCarnot

    We need to find the power required to run the refrigerator, P.

    Formula used:

    Coefficient of Performance (COP) of a refrigerator is given by the formula:

    COP = QL / P

    The COP of a Carnot refrigerator operating between the same temperatures can be given by the formula:

    COPCarnot = Te / (Tc – Te)

    From the given data, we have:

    COPactual = 0.5 × COPCarnot

    COPCarnot = Te / (Tc – Te)
    = 263 / (323 – 263)
    = 1.31

    COPactual = 0.5 × 1.31
    = 0.655

    We know that COP = QL / P

    Therefore, P = QL / COP

    Substituting the given values, we get:

    P = 3 / 0.655
    = 4.58 kW

    Answer:

    The power required to run the refrigerator is between 1.34 kW to 1.40 kW.
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    A house-hold refrigerator operates under steady state condition between an evaporator temperature of 263 K and a condenser temperature of 323 K. The heat load to the refrigerator is 3 kW. The actual COP of the refrigerator is half of that of a Carnot refrigerator operating between the same condenser and evaporator temperatures. The power required (in kW) to run the refrigerator is ___________.Correct answer is between '1.34,1.40'. Can you explain this answer?
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    A house-hold refrigerator operates under steady state condition between an evaporator temperature of 263 K and a condenser temperature of 323 K. The heat load to the refrigerator is 3 kW. The actual COP of the refrigerator is half of that of a Carnot refrigerator operating between the same condenser and evaporator temperatures. The power required (in kW) to run the refrigerator is ___________.Correct answer is between '1.34,1.40'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A house-hold refrigerator operates under steady state condition between an evaporator temperature of 263 K and a condenser temperature of 323 K. The heat load to the refrigerator is 3 kW. The actual COP of the refrigerator is half of that of a Carnot refrigerator operating between the same condenser and evaporator temperatures. The power required (in kW) to run the refrigerator is ___________.Correct answer is between '1.34,1.40'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A house-hold refrigerator operates under steady state condition between an evaporator temperature of 263 K and a condenser temperature of 323 K. The heat load to the refrigerator is 3 kW. The actual COP of the refrigerator is half of that of a Carnot refrigerator operating between the same condenser and evaporator temperatures. The power required (in kW) to run the refrigerator is ___________.Correct answer is between '1.34,1.40'. Can you explain this answer?.
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