For which combination of working temperatures the efficiency of Carnot's engine is highest

Correct answer: A. 40K, 20K

  • A. 40K, 20K
  • B. 100K, 80K
  • C. 20K, 30K
  • D. 60K,40K

Explanation

The efficiency of a Carnot engine is determined by the temperature difference between the hot and cold reservoirs. The efficiency η of a Carnot engine operating between two temperatures T1 (hot reservoir) and T2 (cold reservoir) is given by:η = 1 - T2 / T1For a Carnot engine, the efficiency is higher when the temperature difference(T2/-T1)All the options have the same temperature deference but a will be relatively move efficient because it has the coldest cold reservoir

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The first law relates heat supplied, work done and the change in internal energy through energy conservation. Problems use sign conventions and apply the law to isothermal, adiabatic, isobaric and isochoric processes. Internal energy is a state function, while heat and work depend on the path followed.

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