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MHT CET 2024 (10 May, Shift 2) · Heat Engines, Refrigerators & Second Law

Heat Engines, Refrigerators & Second Law question from MHT CET 2024 (10 May, Shift 2)

Q16MHT CET 2024 · 10 MAY · SHIFT 2Medium

Heat Engines, Refrigerators & Second Law

A Carnot's cycle operating between TH=600 KT_H = 600\text{ K} and Tc=300 KT_c = 300\text{ K} produces 1.5 kJ of mechanical work per cycle. The heat transferred to the engine by the reservoir is

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Answer: (b)

  1. η=1−TcTH=1−300600=0.5\eta = 1 - \frac{T_c}{T_H} = 1 - \frac{300}{600} = 0.5
  2. QH=Wη=1.50.5=3.0 kJQ_H = \frac{W}{\eta} = \frac{1.5}{0.5} = 3.0\text{ kJ}
  3. So the answer is (b) 3.0 kJ.
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