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A Carnot engine whose sink is at 300 K has an efficiency of 40%. How much should the source’s temperature be increased for the same sink to increase its efficiency by 50% of the original efficiency?
  • a)
    150 K
  • b)
    250 K
  • c)
    300 K
  • d)
    450 K
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A Carnot engine whose sink is at 300 K has an efficiency of 40%. How m...
Concept:
The efficiency of Carnot Engine:
Calculation:
Case 1:
η1 = 40% = 0.4, TL1 = 300 K
Case 2:
If we need to increase the efficiency by 50% of original, efficiency = 40% + (50/100) × 40% = 40% + 20% = 60%
η2 = 60% = 0.6, TL2 = TL1 = 300 K
Increase in source temperature:
ΔT = TH2 – TH1 = 750 – 500 = 250 K
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Most Upvoted Answer
A Carnot engine whose sink is at 300 K has an efficiency of 40%. How m...
The efficiency of a Carnot engine is given by the formula:

Efficiency = 1 - (T_sink / T_source)

where T_sink is the temperature of the sink and T_source is the temperature of the source.

In this case, the efficiency is given as 40%, or 0.40, and the temperature of the sink is 300 K.

0.40 = 1 - (300 / T_source)

Rearranging the equation and solving for T_source:

0.60 = 300 / T_source

T_source = 300 / 0.60

T_source = 500 K

Therefore, the temperature of the source should be 500 K.
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A Carnot engine whose sink is at 300 K has an efficiency of 40%. How much should the source’s temperature be increased for the same sink to increase its efficiency by 50% of the original efficiency?a)150 Kb)250 Kc)300 Kd)450 KCorrect answer is option 'B'. Can you explain this answer?
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A Carnot engine whose sink is at 300 K has an efficiency of 40%. How much should the source’s temperature be increased for the same sink to increase its efficiency by 50% of the original efficiency?a)150 Kb)250 Kc)300 Kd)450 KCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A Carnot engine whose sink is at 300 K has an efficiency of 40%. How much should the source’s temperature be increased for the same sink to increase its efficiency by 50% of the original efficiency?a)150 Kb)250 Kc)300 Kd)450 KCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Carnot engine whose sink is at 300 K has an efficiency of 40%. How much should the source’s temperature be increased for the same sink to increase its efficiency by 50% of the original efficiency?a)150 Kb)250 Kc)300 Kd)450 KCorrect answer is option 'B'. Can you explain this answer?.
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