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Mechanical Properties Of Fluids

Question
CBSEENPH11020300
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A Carnot engine, whose efficiency is 40%, takes in heat from a source maintained at a temperature of 500 K It is desired to have an engine of efficiency 60%. Then, the intake temperature for the same exhaust (sink) temperature must be

  • the efficiency of Carnot engine cannot be made larger than 50%

  • 1200 K

  • 750 K 

  • 600 K

Solution

C.

750 K 

Efficiency
straight eta space equals space 1 minus straight T subscript sink over straight T subscript source Now comma space 0.4 space equals 1 minus fraction numerator straight T subscript sink over denominator 500 straight K end fraction rightwards double arrow space straight T subscript sink space equals space 0.6 space straight x space 500 space straight K space equals space 300 space straight K Thus comma space 0.6 space equals space 1 minus fraction numerator 300 space straight K over denominator straight T apostrophe subscript source end fraction rightwards double arrow space straight T to the power of apostrophe subscript source space equals space fraction numerator 300 space straight K over denominator 0.4 end fraction space equals 750 space straight K

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