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 A Carnot engine takes 3 × 106 cal. of heat from a reservoir at 627ºC, and gives it to a sink at 27º C. The work done by the engine is –                                   [aieee-2003]
  • a)
    8.4 × 10J
  • b)
    16.8 × 106 J
  • c)
     Zero 
  • d)
    4.2 × 106 J
Correct answer is option 'A'. Can you explain this answer?
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A Carnot engine takes 3 × 106cal. of heat from a reservoir at 62...
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A Carnot engine takes 3 × 106cal. of heat from a reservoir at 62...
Ita(n)=W/Q.1-T2/T1=W/Q.1-300/900=W/3×10^6.1-1/3=W/3×10^6.2/3=w/3×10^6.2×3×10^6/3=W.W=2×10^6 Cal..1cal=4.2J...W=2×10^6 ×4.2J.W=8.4×10^6 J.
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A Carnot engine takes 3 × 106cal. of heat from a reservoir at 62...
Given data:
- Heat taken from the reservoir, Q1 = 3 × 10^6 cal
- Temperature of the reservoir, T1 = 627°C
- Temperature of the sink, T2 = 27°C

Calculating the work done by the engine:
- Efficiency of a Carnot engine is given by the formula:
Efficiency = 1 - (T2/T1)
- Substituting the values, efficiency = 1 - (27+273)/(627+273) = 1 - 300/900 = 2/3
- Work done by the engine, W = Efficiency * Heat taken from the reservoir
- W = (2/3) * 3 × 10^6 cal = 2 × 10^6 cal

Converting work done into Joules:
- 1 cal = 4.184 J
- Therefore, W = 2 × 10^6 cal * 4.184 J/cal = 8.4 × 10^6 J
Therefore, the work done by the Carnot engine is 8.4 × 10^6 J, which corresponds to option 'A'.
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A Carnot engine takes 3 × 106cal. of heat from a reservoir at 627ºC, and gives it to a sink at 27º C. The work done by the engine is – [aieee-2003]a)8.4 × 106Jb)16.8 × 106Jc)Zerod)4.2 × 106JCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A Carnot engine takes 3 × 106cal. of heat from a reservoir at 627ºC, and gives it to a sink at 27º C. The work done by the engine is – [aieee-2003]a)8.4 × 106Jb)16.8 × 106Jc)Zerod)4.2 × 106JCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Carnot engine takes 3 × 106cal. of heat from a reservoir at 627ºC, and gives it to a sink at 27º C. The work done by the engine is – [aieee-2003]a)8.4 × 106Jb)16.8 × 106Jc)Zerod)4.2 × 106JCorrect answer is option 'A'. Can you explain this answer?.
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