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Olympiad workbook
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NSEP
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Thermodynamics

Olympiad workbook · NSEP · Thermodynamics

Two Carnot heat engines are connected in series such that the sink...

Two Carnot heat engines are connected in series such that the sink of the first engine is heat source of the second. Efficiency of the engines are η1\eta_1 and η2\eta_2 respectively. Net efficiency η\eta of the combination is given by

Options

  1. Aη=η1+η2\eta=\eta_1+\eta_2
  2. Bη=η1η2η1+η2\eta=\frac{\eta_1 \eta_2}{\eta_1+\eta_2}
  3. Cη=η1+η2(1−η1)\eta=\eta_1+\eta_2 \left(1-\eta_1\right)
  4. Dη=η1−η2(1−η1)\eta=\eta_1-\eta_2 \left(1-\eta_1\right)

Correct answer

C. η=η1+η2(1−η1)\eta=\eta_1+\eta_2 \left(1-\eta_1\right)

Step-by-step solution

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