Which of the following is the most effective way to increase the efficiency of the Carnot engine?

Which of the following is the most effective way to increase the efficiency of the Carnot engine?

  1. A

    To increase the temperature of heat reservoir

  2. B

    To decrease the temperature of heat sink

  3. C

    To increase the temperature of heat sink

  4. D

    To decrease the temperature of heat reservoir

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    Solution:

    Let temperature of heat reservoir and heat sink are T1 and T2 respectively.

    η=1T2T1

    Let T2 is reduced by T, hence

    η1=1T2ΔTT1

    Let in other case T1 is increased by T, hence,

     η2=1T2T1+ΔT η1η2=1T2ΔTT11+T2T1+ΔT η1η2=T2T1+ΔTT2ΔTT1 or =T1T2ΔT+(ΔT)2T1T1+ΔT

     Since T1>T2 , hence η1>η2
     

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