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A refrigerator maintains a temperature of 270 K in a room at 300 K. If heat is removed from the interior at a rate of 900 J/sec and the refrigerator operates at 50% of its maximum thermal efficiency, the power requirement is
  • a)
    100 W
  • b)
    150 W
  • c)
    200 W
  • d)
    250 W
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A refrigerator maintains a temperature of 270 K in a room at 300 K. I...
Maximum COP is of Carnot COP:
W = 900/4.5 = 200 J/sec
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Most Upvoted Answer
A refrigerator maintains a temperature of 270 K in a room at 300 K. I...
Given Data:
- Temperature of room (T1) = 300 K
- Temperature of interior of refrigerator (T2) = 270 K
- Heat removed from interior of refrigerator (Q) = 900 J/sec
- Thermal efficiency (η) = 50%

Calculating Power Requirement:
- The thermal efficiency of a refrigerator is given by the formula: η = 1 - (T2/T1)
- Substituting the given values, we get: 0.5 = 1 - (270/300)
- Solving for T1, we find: T1 = 540 K
- The rate of heat removed from the interior of the refrigerator is given as 900 J/sec
- Power (P) required by the refrigerator is given by the formula: P = Q/η
- Substituting the values, we get: P = 900 J/sec / 0.5 = 1800 W

Converting Power to Watts:
- Since the power is given in watts, we need to convert 1800 watts to kilowatts
- 1 kilowatt is equal to 1000 watts, so 1800 watts = 1.8 kilowatts
- Therefore, the power requirement of the refrigerator is 1.8 kW or 1800 W

Answer: The power requirement is 200 W.
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A refrigerator maintains a temperature of 270 K in a room at 300 K. If heat is removed from the interior at a rate of 900 J/sec and the refrigerator operates at 50% of its maximum thermal efficiency, the power requirement isa)100 Wb)150 Wc)200 Wd)250 WCorrect answer is option 'C'. Can you explain this answer?
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A refrigerator maintains a temperature of 270 K in a room at 300 K. If heat is removed from the interior at a rate of 900 J/sec and the refrigerator operates at 50% of its maximum thermal efficiency, the power requirement isa)100 Wb)150 Wc)200 Wd)250 WCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A refrigerator maintains a temperature of 270 K in a room at 300 K. If heat is removed from the interior at a rate of 900 J/sec and the refrigerator operates at 50% of its maximum thermal efficiency, the power requirement isa)100 Wb)150 Wc)200 Wd)250 WCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A refrigerator maintains a temperature of 270 K in a room at 300 K. If heat is removed from the interior at a rate of 900 J/sec and the refrigerator operates at 50% of its maximum thermal efficiency, the power requirement isa)100 Wb)150 Wc)200 Wd)250 WCorrect answer is option 'C'. Can you explain this answer?.
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