Q138 / 160 · AP EAMCET 2022 (04 Jul Shift 1) · Physics

A Carnot engine operates between a source and a sink. The efficiency of the engine is 40% and the temperature of the sink is 27°C. If the efficiency is to be increased to 50% then the temperature of the source must the increased by

  • A
    80 K
  • B
    120 K
  • Correct answer
    C
    100 K
  • D
    160 K

Solution

Initial efficiency of the engine is 40%. Therefore,

40100=1-TsinkTsource⇒0.4=1-27+273Tsource⇒Tsource=500 K

Efficiency in second case of the engine is 50%. Therefore,

50100=1-TsinkTsource⇒0.5=1-27+273Tsource⇒Tsource=600 K

So clearly, the increase in temperature will be of 100 K

Hence, the correct answer is option: 'C'.

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