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A reversible engine converts one-sixth of the heat into work. When temperature of sink is reduced by 62oC, the efficiency of the engine is doubled. The temperature of source and sink are
  • a)
    80​oCand 28​oC
  • b)
    90​oCand 32​oC
  • c)
    95​oC and 35​oC
  • d)
    99​oC and 37​oC
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A reversible engine converts one-sixth of the heat into work. When tem...
Maximum efficiency of an engine working between temperatures T2 and T1 is given by the fraction of the heat absorbed by an engine which can be converted into work is known as efficiency of the heat engine.
Mathematically,

6T2 - 6T1 = T2
Therefore, T2 = 1.2 T1 .....(1)
Where T2 is the source temperature and T1 is the sink temperature.
If the sink temperature (T1) is reduced by 62oC, the efficiency gets doubled i.e.
6T2 – 6T1 + 372 = 2T2
6T2 – 2T2 – 6T1 + 372 = 0
4T2 – 6T1 + 372 = 0
Substituting the value of T2 from equation (1), we will get,
4(1.2 T1) – 6T1 + 372 = 0
4.8 T1 – 6T1 + 372 = 0
372 = 1.2 T1
T1 = 310 K = 37oC
Therefore, T2 = 1.2 x 310 = 372 K = 99oC
Hence, temperature of the source and the sink is 99oC and 37oCrespectively.
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A reversible engine converts one-sixth of the heat into work. When temperature of sink is reduced by 62oC, the efficiency of the engine is doubled. The temperature of source and sink area)80​oCand 28​oCb)90​oCand 32​oCc)95​oC and 35​oCd)99​oC and 37​oCCorrect answer is option 'D'. Can you explain this answer?
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A reversible engine converts one-sixth of the heat into work. When temperature of sink is reduced by 62oC, the efficiency of the engine is doubled. The temperature of source and sink area)80​oCand 28​oCb)90​oCand 32​oCc)95​oC and 35​oCd)99​oC and 37​oCCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A reversible engine converts one-sixth of the heat into work. When temperature of sink is reduced by 62oC, the efficiency of the engine is doubled. The temperature of source and sink area)80​oCand 28​oCb)90​oCand 32​oCc)95​oC and 35​oCd)99​oC and 37​oCCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reversible engine converts one-sixth of the heat into work. When temperature of sink is reduced by 62oC, the efficiency of the engine is doubled. The temperature of source and sink area)80​oCand 28​oCb)90​oCand 32​oCc)95​oC and 35​oCd)99​oC and 37​oCCorrect answer is option 'D'. Can you explain this answer?.
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